I remember doing this but I don’t seem to remember sorry
Question 1(Multiple Choice Worth 2 points)
(Comparing Data MC)
The data given represents the number of gallons of coffee sold per hour at two different coffee shops.
Perks A Lot
10 3.5 3
5 2.5 7
8 5.5 9.5
6 9 4.5
Wide Awake
2.5 10 4
18 4 3
3 6.5 15
6 5 2.5
Compare the data and use the correct measure of center to determine which shop typically sells the most amount of coffee per hour. Explain.
Perks A Lot, with a median value of 5.75 gallons
Wide Awake, with a median value of 4.5 gallons
Perks A Lot, with a mean value of 5.75 gallons
Wide Awake, with a mean value of 4.5 gallons
obsessivex
Based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.
What is Statistics?Statistics is the branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data.
To determine which coffee shop typically sells the most amount of coffee per hour, we need to compare the measures of center for both sets of data. The two common measures of center are the mean and the median.
Calculating the mean and median for both sets of data, we get:
Perks A Lot:
Mean = (10+3.5+3+5+2.5+7+8+5.5+9.5+6+9+4.5)/12 = 5.75
Median = the average of the 6th and 7th numbers when the data is arranged in order: 3, 3.5, 5, 5.5, 6, 7, 8, 9, 9.5, 10
Wide Awake:
Mean = (2.5+10+4+18+4+3+6.5+15+6+5+2.5)/11 = 6
Median = the average of the 5th and 6th numbers when the data is arranged in order: 3, 4, 5, 6, 6.5, 10, 15, 18
Comparing the measures of center, we can see that Perks A Lot has a lower mean and a higher median compared to Wide Awake. This suggests that Perks A Lot sells less coffee on average, but has more consistent sales with less extreme values. On the other hand, Wide Awake has higher average sales, but with a wider range of values.
Therefore, based on the measures of center, we can conclude that Wide Awake typically sells more coffee per hour compared to Perks A Lot.
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9. A circular walking path surrounds the city park in Bayport. Multiple walking paths also
connect the center of the park to the outer walking path. These paths create congruent
sectors, each with an area of 1.42 square miles.
What is the approximate length of each of the walking paths that passes through the
center of the park and connects opposite sides of the outer walkway?
The approximate length of each of the walking paths that passes through the center of the park and connects opposite sides of the outer or circumference walkway is 21 meters.
Let r₁ and C₁ be the radius and the circumference of the inner circle.
Let r₁ and C₂ be the radius and the circumference of the outer circle.
The width of the circular path is (r₂ −r₁ ) m.
Given, C₂ −C₁ = 132 m
⇒2πr₂−2πr₁ = 132m
⇒2π(r₂ −r₁ ) = 132m
⇒r₂−r₁ = 66/22/7
⇒r₂−r₁ = 21
Thus, width of the circular path is 21 m.
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Find the answer to the?
Answer: 520
Step-by-step explanation:
if pizza times pizza times pizza equals 27, the square root of twenty seven is three. so three time three equals 9, then times cheeseburger(which equals 2) would equal 18. so 2*2+2= taco(8)
A right-angled triangle is formed by the diameters of three semicircular regions, A, B and C as shown in the diagram.
It is true that the areas of regions B and C added together equal the area of region A.
What is region?A region is an area of land that has a distinct physical or cultural identity. Regions are typically characterized by particular geographic features, such as mountains, rivers, or seas; by cultural attributes, such as language, religion, or government; or by economic activities, such as farming, mining, or industry.
Assume that A, B, and C will have diameters of a, b, and c, respectively.
Consequently, the semicircle's surface area is,
A = 1/2π(d/2)²
A = (π/8) d²
In a right-angled triangle, the square on the hypotenuse is equal to the particular sum of the squares of one two sides. With a right triangle,
a² = b² +c² ----(1)
The areas for regions A, B, and C will be (π/8) a², (π/8) b², and (π/8) c² accordingly.
Equation 1's (/8) multiplication yields,
(π/8) a² = (π/8) b² +(π/8) c²
The result is
Region A's area is equal to Region B's plus Region C's.
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Complete Question:
It is true that the areas of regions B and C formed by the semi circles added together equal the area of region A.
What is semi circle?
In geometry, a semicircle can be defined as a half circle made by cutting the circle into two halves. It is formed when a line passes through the center of a circle and touches the two ends of the circle which is the diameter of the circle.
Let us assume that A, B, and C will have diameters of a, b, and c, respectively.
By the formula of semicircle's surface area,
A = 1/2π(d/2)² where d is the diameter of the semi circle.
A = (π/8) a² [ since diameter of semicircle A is a]
By Pythagoras theorem, In a right-angled triangle, the square on the hypotenuse is equal to the sum of the squares of two sides.
So here from the right angled triangle we get,
a² =b² +c² ----(1)
The area for region A is (π/8) a²
The area of region B is (π/8) b²
and the area of region C is (π/8) c²
Now, Area of region B + Area of region C
= (π/8) b² + (π/8) c²
= (π/8) ( b² +c² )
= (π/8) a² [ from equation (1)]
Hence , Region A's area is equal to Region B's plus Region C's area.
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What is the factored form of x2 - 9x + 20?
A. x(x - 9) + 20
B. (x-4)(x + 5)
C. (x - 4)(x - 5)
D. (x2 - 4)(x2 - 5)
-------------------------------------------------------------------------------------------------------------
Answer: Option C, (x - 4)(x - 5)
-------------------------------------------------------------------------------------------------------------
Given: [tex]\textsf{x}^2\textsf{ - 9x + 20}[/tex]
Find: [tex]\textsf{Determine the factored form}[/tex]
Solution: In order to factor the given equation, we need to first determine two numbers which add up to -9 and multiply to become 20. We can think of the factors of 20 which would add up to -9 and the one that matches that description would be -5 and -4. These two numbers multiply to become 20 and combine to become -9. Now that we have that information, we can break up the quadratic into two separate roots using the two numbers that we found.
Therefore, the answer would be Option C, (x - 4)(x - 5).
Belle bought 40 pairs of trousers for $2040. She sold them all at the same selling price and made a loss of $200.
(i) How much did each pair of trousers cost Belle to buy?
(ii) How much loss did she make on each pair of trousers?
(iii) What was the selling price of each pair?
Answer:
Let the cost of each pair of trousers be x dollars.
(i) Belle bought 40 pairs of trousers for a total of $2040, so we can set up an equation:
40x = 2040
Solving for x, we get:
x = 2040/40 = 51
Therefore, each pair of trousers cost Belle $51 to buy.
(ii) Belle made a loss of $200 on the entire sale of 40 pairs of trousers. The cost of 40 pairs of trousers is:
40 x $51 = $2040
So, Belle sold 40 pairs of trousers for:
$2040 - $200 = $1840
Belle's cost was $2040, and she sold the trousers for $1840, so her loss was:
$2040 - $1840 = $200
The loss per pair of trousers is the total loss divided by the number of pairs of trousers sold, which is:
$200/40 = $5
Therefore, Belle made a loss of $5 on each pair of trousers sold.
(iii) The selling price of each pair of trousers can be found by adding the loss per pair to the cost per pair:
Selling price = Cost + Loss
Selling price = $51 + $5
Selling price = $56
Therefore, Belle sold each pair of trousers for $56.
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suppose gre verbal scores are normally distributed with a mean of 455 and a standard deviation of 124 . a university plans to offer tutoring jobs to students whose scores are in the top 8% . what is the minimum score required for the job offer? round your answer to the nearest whole number, if necessary.
The minimum score required for the job offer found using normal distribution is 629
To find the minimum score required for the job offer, we have to use the standard normal distribution formula.
Where Z-score can be calculated as,
Z = (x - μ) / σ
Z-score is the number of standard deviations from the mean.
μ = Mean = 455
σ = Standard Deviation = 124
Substituting the values, we get, Z = (x - μ) / σ= (x - 455) / 124
Probability value = 1 - 0.08 = 0.92
The probability of getting scores in the top 8% is 0.92.
By using the standard normal distribution table, we can find the corresponding z-value, where the area under the curve to the right of that value is 0.92.
So, the corresponding Z-value is 1.44.
Z-value = 1.4 = (x - 455) / 124
We can solve the above equation for x (minimum score required for the job offer).
x = Z * σ + μ = 1.4 * 124 + 455 = 628.6 ≈ 629
Round off the answer to the nearest whole number, we get the minimum score required for the job offer is 629.
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You randomly select one marble from a barrel containing 9 blue, 10 yellow, 3 red, 8 green, and 2 purple marbles. 1. Find the experimental probability of randomly selecting a marble that is NOT yellow
Answer:
11/16 is the answer or 22/32
Find an equation of the line that passes through the points (1,2) and (2,3).
Responses
A y = 2x - 1y = 2x - 1
B y = x - 2y = x - 2
C y = x - 1y = x - 1
D y = x + 1
By answering the presented question using inequality, , we may conclude that Therefore, the equation of the line passing through the points (1,2) and (2,3) is
Describe inequality.An inequality in mathematics is a link between two expressions or values that is not equal. As a result, inequality results from imbalance. An inequality in mathematics is a relationship between two values that are not equal. Equality and inequality are not the same thing. The not equal sign is often used to indicate that two values are not equal (). To contrast values, various disparities—no matter how small or large—are used. By changing the two sides until just the variables are left, many fundamental inequalities can be resolved. Yet, a variety of causes fuel inequality: On both sides, negative values are divided or added. Trade right and left.
To find the equation of a line passing through two given points, we can use the point-slope form of a linear equation:
[tex]y-ylm(x-x1) = \\m = (y^2 - y1)/(x^2 − x^1) \\m = (3-2)/(2-1) = 1\\ m = y-2=1\\(x-1) y-2=x-1\\y = x+1[/tex]
Therefore, the equation of the line passing through the points (1,2) and (2,3) is
D) y=x+1
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a real estate agent has 12 properties that she shows. she feels that there is a 40% chance of selling any one property during a week. the chance of selling any one property is independent of selling another property. compute the probability of selling more than 5 properties in one week. round your answer to four decimal places.
The probability of selling more than 5 properties in a week is 0.7494 (rounded to four decimal places).
The probability of selling more than five properties in a week would be calculated using the binomial distribution method. Binomial distribution is used to calculate the probability of an event happening, given a specific number of trials and assuming that each trial is independent of the others. In this case, we want to know the probability of selling more than five properties in a week.
The formula for the probability of selling more than five properties in a week is:
P(X > 5) = 1 - P(X ≤ 5)
Where P is the probability of selling any one property in a week, and X is the number of properties sold in a week.
Using the binomial probability formula, we can determine the probability of selling exactly k properties in one week:
P(X = k) = (n choose k) * p^k * (1-p)^(n-k)
where
n = 12 (total number of properties)
k = number of properties sold
p = 0.40 (probability of selling any one property in a week)
We can now calculate the probability of selling more than 5 properties in a week:
P(X > 5) = 1 - P(X ≤ 5)
P(X > 5) = 1 - (P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5))
P(X > 5) = 1 - [(12 choose 0) * (0.40)^0 * (0.60)^(12-0) + (12 choose 1) * (0.40)^1 * (0.60)^(12-1) + (12 choose 2) * (0.40)^2 * (0.60)^(12-2) + (12 choose 3) * (0.40)^3 * (0.60)^(12-3) + (12 choose 4) * (0.40)^4 * (0.60)^(12-4) + (12 choose 5) * (0.40)^5 * (0.60)^(12-5)]
P(X > 5) = 1 - [0.000015 + 0.0003 + 0.003 + 0.018 + 0.068 + 0.161]
P(X > 5) = 1 - 0.250583
P(X > 5) = 0.749417
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Find the area of the trapezoid below by decomposing it into familiar shapes.
Answer:
168 ft^2
Step-by-step explanation:
18×8=144ft^2 for the area of the rectangle
8×6=48ft^2
48÷2=24ft^2 for the area of the triangle
144+24=168ft^2
PLEASE HELP ME!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
This figure is a rectangle with a semicircle on the shorter side.
What is the perimeter of this figure?
Use 3.14 for pi.
A. 20.28 ft
B. 30.28 ft
C. 46.28 ft
D. 74.24 ft
The perimeter of the figure which is a rectangle with a semicircle on its shorter side would be =34.28ft
How to calculate the perimeter of the given figure?To calculate the perimeter of the figure, the perimeter of both the rectangle and the semicircle is calculated separately and added together.
The perimeter of rectangle = 2(l+w)
where;
l = 10ft
w = 4ft
perimeter = 2(10+4)
= 2× 14
= 28ft
Perimeter of semicircle = 2πr/2 = πr
where
π = 3.14
r = 4/2 = 2ft
perimeter = 3.14×2 = 6.28
Therefore, the perimeter of the given figure = 28+6.28 = 34.28ft.
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5x−2+x=9+3x+10 what is x?
Answer:
[tex]\tt x=7[/tex]Step-by-step explanation:
[tex]\tt 5x-2+x=9+3x+10[/tex]
Combine like terms:-
[tex]\tt 5x+x-2=9+3x+10[/tex]
[tex]\tt \:5x+x=\bf 6x[/tex]
[tex]\tt 6x-2=9+3x+10[/tex]
Add numbers:-
[tex]\tt 9+10=\bf 19[/tex]
[tex]\tt 6x-2=3x+19[/tex]
Add 2 to both sides:-
[tex]\tt 6x-2+2=3x+19+2[/tex]
[tex]\tt 6x=3x+21[/tex]
Subtract 3x from both sides:-
[tex]\tt 6x-3=3x+21-3[/tex]
[tex]\tt 3x=21[/tex]
Divide both sides by 3:-
[tex]\tt \cfrac{3x}{3}=\cfrac{21}{3}[/tex]
[tex]\tt x=7[/tex]
____________________
Hope this helps! :)
Answer: X = 17
Step-by-step explanation: First combine like terms on both sides so the 5x + x on the left side for a total of 6x and the 9 + 10 on the right side for a total of 19. Then get your variables and numbers all to one side each so you would add 2 from the left to the right and cancel out and then subtract 3x from the right to the left and cancel out. Finally you would divide 21 by 3.
5x-2+x=9+3x+10
6x-2=19+3x
+2 -3x
3x=21
/3. /3
x=7
HELP DRIVERS ED
20 pts
The correct option is:
Steering wheel the proper distance from the body, at least a foot from the body, right foot should reach behind the brake pedal and knee should be slightly bent.
What is distance?
Distance is a numerical measurement of the amount of space between two objects or points.
First, the distance between the steering wheel and the driver's body should be at least one foot. This ensures that the driver has enough room to operate the pedals and steering wheel without feeling cramped or uncomfortable. Mathematically, we could express this as:
distance between steering wheel and body ≥ 1 foot
Second, the right foot should be able to reach behind the brake pedal, and the knee should be slightly bent. This allows the driver to apply pressure to the brake pedal without having to overextend their leg or foot. Mathematically, we could express this as:length of driver's leg + distance from seat to brake pedal = distance from seat to brake pedal when leg is slightly bent
These considerations help to ensure that the driver is seated in a safe and comfortable position while operating the vehicle.
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A function can only have one transformation
happen to it.
True
False
Answer:
False
Step-by-step explanation:
You can transform a function many times
:)
Q3 The following diagram represents the positions and
bearings of three buoys floating in the ocean.
[a] How far west is Buoy B from Buoy C.
[b] How far east is Buoy A from Buoy B.
[c] How far north is Buoy C from Buoy A.
N
Buoy B
N
077⁰
240m
345m
N
314⁰
Buoy A
Buoy C
Q4 A ship sails on a bearing of 074° for 10 miles followed by a
bearing of 131° for 15 miles. Work out the bearing of the
ship from its starting position to the nearest degree.
A ship sails from port a, on a bearing of 050, to port b which is 80km to the east of a. it then sails on a bearing of 062 for 72km until it reaches pot c. West is 270 degrees. Hence Answer would be 80 km.
A ladder 8m leans against a building. The angle formed by the ladder and the ground is 60 . How far from the building is the foot of the ladder
Which of the fractions below are less than 3/8?
The fractions that are greater than 3/8 are option A. 1/2, option B. 4/5, and option D. 2/3.
How did we get these values?To compare fractions, we need to make sure they have the same denominator. In this case, we can convert all the fractions to have a denominator of 8:
3/8 = 3/8
1/2 = 4/8
4/5 = 6.4/8
1/3 = 2.7/8
2/3 = 5.3/8
2/12 = 1/6 = 1.3/8
Now we can see which of these fractions are greater than 3/8:
3/8 = 3/8
4/8 = 1/2 > 3/8
6.4/8 > 3/8
2.7/8 < 3/8
5.3/8 > 3/8
1.3/8 < 3/8
So, the fractions that are greater than 3/8 are 1/2, 4/5, and 2/3.
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The complete question goes thus:
Which of the fractions below are greater than 3/8? Select three.
A. 1/2
B. 4/5
C. 1/3
D. 2/3
E. 2/12
amahle makes the minimum salary for an actuary. asaad makes the median salary for a cpa. who makes more money?
Asaad having median salary makes more money in comparison to Amahle who makes minimum salary.
From the attached box plot we have,
Box plot always shows,
First Minimum → Lower quartile → Median → Upper quartile → Maximum
The minimum salary for an actuary is equals to
Approximately 35 dollars
And the median salary for a CPA from the box plot is equals to,
Approximately 60 dollars
Here , by comparing the both the values we have,
Median salary for CPA (60 dollars ) is greater than minimum salary for actuary ( 35 dollars ).
The median salary for a CPA is typically higher than the minimum salary for an actuary.
Therefore, Asaad representing median salary makes more money than Amahle .
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The above question is incomplete, the complete question is:
Amahle makes the minimum salary for an actuary. Asaad makes the median salary for a CPA. Who makes more money?
Box plot is attached.
Please help asap don’t understand any of them
Answer:
#1. A. y=sin x + 2 Is the same as cos.
Step-by-step explanation:
can yall pls help me!!!!!!!!!
Answer:
w ≥ 13.5
Step-by-step explanation:
-(4/ 9)w ≤ -6
Multiply both side by - 1
(4/ 9)w ≥ 6
Cross multiply
4w ≥ 54
Divide both side by the coefficient of w
4w/4 ≥ 54/4
w ≥ 13.5
I understand how to use and apply the cosine rule but I don't know how to do it without any angles
Answer:
largest angle ≈ 109.6°
Step-by-step explanation:
the largest angle in the triangle is the angle opposite the longest side.
Here that is the angle opposite side of 7.8 cm
let a = 7.8, b = 5.4 , c = 4.1 and A the largest angle , then
cosA = [tex]\frac{b^2+c^2-a^2}{2bc}[/tex]
= [tex]\frac{5.4^2+4.1^2-7.8^2}{2(5.4)(4.1)}[/tex]
= [tex]\frac{29.16+16.81-60.84}{44.28}[/tex]
= [tex]\frac{45.97-60.84}{44.28}[/tex]
= [tex]\frac{-14.87}{44.28}[/tex]
then
A = [tex]cos^{-1}[/tex] ( [tex]\frac{-14.87}{44.28}[/tex] ) ≈ 109.6° ( to 1 decimal place )
Unit 5 Systems of equations and inequalities, Homework 10 systems by inequalities
To solve a system of equations, you need to find the values of the variables that satisfy both equations simultaneously. There are different methods to solve systems of equations, including substitution, elimination, and graphing. Here's an example of using substitution:
Solve the system of equations:
2x + y = 5
x - y = 1
From the second equation, we get x = y + 1. Substitute this expression for x into the first equation:
2(y + 1) + y = 5
Simplifying and solving for y, we get:
3y + 2 = 5
3y = 3
y = 1
Then, substitute y = 1 into x = y + 1 to get:
x = 2
So the solution to the system of equations is x = 2 and y = 1.
To solve a system of inequalities, you need to find the values of the variables that satisfy both inequalities simultaneously. There are different methods to solve systems of inequalities, including graphing and substitution. Here's an example of using graphing:
Solve the system of inequalities:
x + y ≤ 3
x - y > 1
First, graph the boundary lines of each inequality. For the first inequality, the boundary line is x + y = 3, which is a line with intercepts (3, 0) and (0, 3). To decide which side of the line to shade, test a point that is not on the line, such as (0, 0):
0 + 0 ≤ 3, which is true
Therefore, shade the side of the line that contains the origin.
For the second inequality, the boundary line is x - y = 1, which is a line with intercepts (1, 0) and (0, -1). To decide which side of the line to shade, test a point that is not on the line, such as (0, 0):
0 - 0 > 1, which is false
Therefore, shade the side of the line that does not contain the origin.
The shaded region that satisfies both inequalities is the region that is below the line x + y = 3 and to the right of the line x - y = 1. This region is a triangle with vertices (1, 2), (2, 1), and (2, 2).
I hope this explanation helps you with your homework!
The minute hand of this clock is shown in two positions. The minute hand first forms a 46° angle with the hour hand. It then forms an 84° angle with the hour hand.
How many degrees did the minute hand turn from its first position to its second position?
Enter your answer in the box.
°
The face of a clock. The hour hand points to the 9. The minute hand is rotated to two positions. In its first position, the minute hand is between 10 and 11 so that it forms a 46 degree angle with the hour hand. In its second position, the minute hand is between 11 and 12 so that it forms an 84 degree angle with the hour hand. The angle formed by the first and second position of the minute hand is labeled with a question mark.
To find the number of degrees the minute hand turned from its first position to its second position, we need to find the difference between the two angles formed by the minute and hour hands.
In the first position, the minute hand forms a 46° angle with the hour hand. Since the hour hand is pointing at 10 and the minute hand is between 10 and 11, we know that the hour hand has moved 1/6th of the way from 10 to 11, or 30°. Therefore, the angle between the hour hand and the 12:00 position is 120° + 30° = 150°. So the minute hand is 46° away from 150°, or 104°.
In the second position, the minute hand forms an 84° angle with the hour hand. Since the hour hand is pointing at 10 and the minute hand is between 11 and 12, we know that the hour hand has moved 1/2 of the way from 10 to 11, or 150°. So the minute hand is 84° away from 150°, or 234°.
To find the number of degrees the minute hand turned, we subtract the two angles: 234° - 104° = 130°.
Therefore, the minute hand turned 130° from its first position to its second position.
Write your own predictions for a local magazine to the year 2001. Be sure to give your essay a focus Choose details to support your predictions
Answer:
As we approach the turn of the millennium, it is natural to wonder what the future holds. For a local magazine, predicting trends and changes in the community is essential to staying relevant and informative. In the year 2001, I predict that our city will continue to grow and evolve in exciting ways.
One major focus for our magazine should be on technology. As we enter a new era of digital communication and information sharing, it will be important to keep readers informed about new developments and how they impact our daily lives. This could include coverage of local tech startups, updates on internet infrastructure projects, or profiles of innovative individuals using technology to make a difference in our community.
Another area of interest will be sustainability. As concerns about climate change become more urgent, I predict that our city will take bold steps towards becoming more environmentally friendly. Our magazine can highlight initiatives like bike lanes, green energy projects, or sustainable food systems.
Overall, I believe that by focusing on these key areas – technology and sustainability – our local magazine can remain relevant and engaging for years to come.
BRAINLIEST please
thanks
PLS HELP ASAP !!! THANKS
The factorizations of the given expressions are:
[tex]9x^{2}-6x+15[/tex] = 3(3x+5)(x-2)
[tex]2x^{2}+11x+5[/tex] = (2x+1)(x+5)
[tex]2x^{2}+3x-9[/tex] = (2x-3)(x+3)
[tex]10x^{2}+80x+70[/tex] = 10(x+1)(x+7)
[tex]3x^{2}-8x+4[/tex] = (x-2)(3x-2)
[tex]x^{2}-16[/tex] = (x+4)(x-4)
Equations[tex]9x^{2}-6x+15[/tex]
We can first factor out the greatest common factor, 3:
[tex]9x^{2}-6x+15[/tex] = 3([tex]3x^{2}-2x-5[/tex])
[tex]3x^{2}-2x-5[/tex] = (3x+5)(x-2)
Putting it all together, we get:
[tex]9x^{2}-6x+5[/tex] = 3(3x+5)(x-2)
[tex]2x^{2}+11x+5[/tex]
We need to find two numbers that multiply to give 2x5=10 and add up to 11. Those numbers are 1 and 10:
[tex]2x^{2}+11x+5[/tex] = (2x+1)(x+5)
[tex]2x^{2}+3x-9[/tex]
We need to find two numbers that multiply to give 2x(-9)=-18 and add up to 3. Those numbers are 6 and -3:
[tex]2x^{2}+3x-9[/tex] = (2x-3)(x+3)
[tex]10x^{2}+80x+70[/tex]
We can first simplify the expression by factoring out 10:
[tex]10x^{2}+80x+70[/tex] = 10([tex]x^{2}+8x+7[/tex])
Now we need to factor the quadratic expression inside the parentheses:
[tex]x^{2}+8x+7[/tex] = (x+1)(x+7)
Putting it all together, we get:
10(x+1)(x+7)
[tex]3x^{2}-8x+4[/tex]
We need to find two numbers that multiply to give 3x4=12 and add up to -8. Those numbers are -2 and -6:
[tex]3x^{2}-8x+4[/tex] = (x-2)(3x-2)
[tex]x^{2}-16[/tex]
This is a difference of squares, which we can factor as:
[tex]x^{2}-16[/tex] = (x+4)(x-4)
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Instructions: Find the missing side. Round your answer to the nearest tenth.
8
||
75°
24
X
The value of x, the missing side which is the hypotenuse, is approximately 24.85 units.
What is the missing side of the triangle?To solve this problem, we can use the trigonometric function of sine, since we know the opposite side and we want to find the hypotenuse.
The sine of an angle is defined as the ratio of the length of the opposite side to the length of the hypotenuse:
sin(θ) = opposite/hypotenuse
In this case, θ is the angle 75 degrees, the opposite side is 24, and we want to find the hypotenuse x:
sin(75°) = 24/x
To solve for x, we can cross-multiply:
x * sin(75°) = 24
Then, we can divide both sides by sin(75°):
x = 24 / sin(75°)
Using a calculator, we get:
x = 24.85 units
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Anota el valor posicional de las cifras encerradas
The digit information are:
A) 900,000,000
5,000,0006,000B) 40,000
7009What is the Digit numbers about?900,000,000: Nine hundred million. The first three digits (900) represent the hundred millions place, the next three digits (000) represent the ten millions place, and the last three digits (000) represent the ones (or units) place.
5,000,000: Five million. The first digit (5) represents the millions place, and the last six digits (000,000) represent the ones (or units) place.6,000: Six thousand. The first digit (6) represents the thousands place, and the last three digits (000) represent the ones (or units) place.40,000: Forty thousand. The first two digits (40) represent the ten thousands place, and the last three digits (000) represent the ones (or units) place.Lastly, 7009: Seven thousand nine. The first digit (7) represents the thousands place, the next two digits (00) represent the hundreds place (which are omitted since they are zeroes), and the last two digits (09) represent the ones (or units) place.
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See full text below
3.- Anota el valor posicional de las cifras encerradas
=
a) (9) 1(5) 23(6) 470
b) 38(4) 1(7) 6(9)
3.- Write down the place value of the enclosed figures
=
a) (9) 1(5) 23(6) 470
b) 38(4) 1(7) 6(9)
Which angle measures are correct? select three options. m∠x = 55° m∠w = 125° m∠w = 55° m∠z = 125° m∠z = 55°
The correct angle measures of triangle XWZ are m∠x = 55°, m∠w = 125°, m∠z = 125°. The correct options are A, B and D.
The correct angle measures are m∠x = 55°, m∠w = 125°, m∠z = 125°
The option "m∠w = 55°" and "m∠z = 55°" are incorrect. Because "m∠w = 55°" and "m∠z = 55°" are incorrect is that there is only one angle measurement that can be equal to 55°, which is m∠x. This is because in any triangle, the sum of the interior angles is always 180°. Therefore, if m∠x is 55°, then the sum of the other two angles (m∠w and m∠z) must add up to 125° (i.e., 180° - 55°).
So, if m∠w is 125°, then m∠z must also be 55°, and if m∠z is 125°, then m∠w must be 55°. Hence, the options "m∠w = 55°" and "m∠z = 55°" cannot both be correct at the same time. So, the correct answers are A, B and D.
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_____The given question is incomplete, the complete question is given below:
Which angle measures are correct? select three options. A m∠x = 55° B m∠w = 125° C m∠w = 55° D m∠z = 125° E m∠z = 55°.
Answer:
A , B , E
Step-by-step explanation:
Just put A , B , D and got it wrong
Consider the equation 9-e² = 54.
Solve the equation for z. Express the solution as a logarithm in base-e.
Z=
Approximate the value of z. Round your answer to the nearest
thousandth.
Z≈
The approximate value of z for the given logarithm in base-e is found to be: z = 0.8959 (nearest thousandth).
Explain about the logarithm function?A power wherein a number must all be increased in order to obtain another number is known as a logarithm.
The conception of hyperbolic sectors in calculating the area of a rectangular hyperbola gave rise to the concept of log. Several formats, such as exponential and integration of 1/x, can be used to express a log.
The given expression is-
9. [tex]e^{2z}[/tex] = 54.
On simplification:
[tex]e^{2z}[/tex] = 54 / 9
[tex]e^{2z}[/tex] = 6
Now, taking ㏑ both side:
㏑ [tex]e^{2z}[/tex] = ㏑ 6
using the power rule of ㏑.
2z. ㏑e = ㏑6
we know that, ㏑e = 1
2z * 1 = ㏑6
z = ㏑6 / 2
z = 1.79 / 2
z = 0.8959
Thus, the approximate value of z for the given logarithm in base-e is found to be: z = 0.8959 (nearest thousandth).
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