Answer:
Average rate of change
=
26.5
Explanation:
Use the slope formula to find average rate of change:
m
=
y
2
−
y
1
x
2
−
x
1
To use the slope formula, you need 2 points on the curve - we only have to x values, so we need to find f(8) and f(10).
f
(
8
)
=
92
f
(
10
)
=
145
These means are points are
(
x
1
,
y
1
)
=
(
8
,
92
)
and
(
x
2
,
y
2
)
=
(
10
,
145
)
.
m
=
145
−
92
10
−
8
m
=
53
2
m
=
26.5
Step-by-step explanation:
The average rate of change on the interval from 0 to 10 is 30
How to determine the average rate of change?The function is given as:
f(x)=3x^2-8
The interval is given as:
0 to 10
Calculate f(0) and f(10)
f(0)=3 *(0)^2 -8
f(0) = -8
f(10)=3 *(10)^2 -8
f(10) = 292
The average rate of change is then calculated as:
Rate = (f(10) - f(0))/(10 - 0)
This gives
Rate = (292 +8 )/(10 - 0)
Evaluate
Rate = 30
Hence, the average rate of change on the interval from 0 to 10 is 30
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What is the sum of polynomials 7x 3 4x 2 )+( 2x 3 4x 2?
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
Explain the equation.A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.
Here,
Polynomial function total
Polynomial functions are those that have a leading degree of three or higher. given the total;
(7x^3-4x^2)+(2x^3-4x^2)
Expand => (7x 3-4 times) + (2x 3-4 times)
= > 7x^3-4x^2 + 2x^3-4x^2
assemble similar terms
=> 7x^3 + 2x^3 - 4x^2 -4x^2
=> 9x^3 - 8x^2
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
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Work out the interior angle of the octagon.
Please show the working out.
Answer:
135°
Step-by-step explanation:
formula = (n-2) * 180, whereby 'n' is the number of sides.
therefore, (8-2) * 180 = 1080°
1080° ÷ number of sides
= 1080° ÷ 8
= 135°
Answer:
∠a = 135°
Step-by-step explanation:
There is a formula for finding the sum of the interior angles of any polygon.
N = number of sides
sum of interior angles = (180° x N) - 360°
so:
(180° x 8) - 360° = 1080°
1080°/8 angles = 135° each angle
What is the value of X?
Help please!
Answer:
(11√3)/3
Step-by-step explanation:
In order to solve for the variable, you will need to use a trig function. In this case, you will need to use the trig function tangent.
Tan = opposite/adjacent
⇒ Tan 30° = x/11
⇒ 11 · Tan 30° = x
⇒ (11√3)/3 = x
Can someone please help me? :(
Look at the graph, then select the correct answer.
Which distribution has the greatest spread?
A. Distribution 1
B. Distribution 2
C. Distribution 3
D. Distribution 4
The distribution has the greatest spread is
C. Distribution 3What is standard deviation?The term standard deviation refers to a measurement of the data's dispersion or spread from the mean.
A low standard deviation implies that the data are grouped around the mean, whereas a large standard deviation shows that the data are more dispersed or spread out.
In the given problem the distribution that has a higher value of standard deviation is the one that has the highest spread spread
This is distribution 3 with a standard deviation of 7.2
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Of the 6,960 balloons thrown in a water-ballon fight, 870 were red. At this rate, how many balloons out of 48 would be red? WRITE JUST THE ANSWER WITHOUT UNITS
At this rate, the ratio or proportion of red balloons to the total balloons, the number of red balloons out of 48 is 6.
What is proportion?Proportion describes the two or more ratios equated to each other.
Proportions are depicted as fractional values in decimals, fractions, or percentages.
In this situation, we equate the ratio or proportion of red balloons to the sample to determine the number that will likely be red.
The total number of balloons thrown in a water balloon fight = 6,960
The number of the balloons that are red = 870
The proportion of the red balloons to the total = 0.125 or 12.5% (870/6,960)
In a sample of 48 balloons, the number of red balloons will be 6 (48 x 0.125)
Thus, out of 48 balloons, there are 6 red balloons at this constant rate.
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Donovan flips a coin a total of 96 times. How many times should he expect the coin to land on heads? Donovan records the results of the next 50 flips. The results are shown in the table. Heads Tails 32 18 Based on Donovan's results, if he flips the coin an additional 75 times, about how many times should he expect the coin to land on tails?
When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be 48 times.
The times he should expect the coin to land on tail based on the table will be 27 times.
How to illustrate the value?A word problem in mathematics simply refers to a question that is written as a sentence or in some cases more than one sentence which requires an individual to use his or her mathematics knowledge to solve the real life scenario given.
When Donovan flips a coin a total of 96 times, the number of times he should expect the coin to land on heads will be:
= 1/2 × 96
= 48
The number of times he should expect the coin to land on tail based on the table will be:
= 18/50 × 75
= 27 times
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two cards are chosen at random from a deck of 52. what is the probability that both cards are numbers (2 through 10) totaling to 12
The probability is 0.3845.The probability of anything occurring is known as probability.
How are probabilities calculated?The probability of anything occurring is known as probability. To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.The likelihood or chance that a specific event will occur is represented by a probability. Both proportions between 0 and 1 and percentages between 0% and 100% can be used to describe probabilities.To determine probability, divide the total number of possible outcomes by the number of possible ways an event could occur.Explanation:
2/52 * 10/52 = 20/52 = 0.3845.
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Find the area of the circle to the nearest hundredth. Use 3.14 or
22
7
for
4 in.
area: about
in. 2
Answer:
50.24 in.
Step-by-step explanation:
Step 1: Define/explain/formula.
To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.
Definitions:
The diameter is the length through the center.The radius is half of the diameter.The area of a circle is the amount of interior space enclosed by a circle.The circumference of a circle is the distance around the circle.'π' means pi.[tex]a=\pi r^2(3.14*radius*radius)[/tex]
Step 2: Solve.
The radius of this circle is 4.
Now, we simply plug the numbers into the formula.
[tex]\pi4^2(3.14*4*4)=50.24[/tex]
Step 3: Conclude.
Therefore, the area of this circle is 50.24 in.
I NEED HELP ASAP!!!!!!!!
Answer:
(- 1, 9 )
Step-by-step explanation:
6x - y = - 15 → (1)
x + 2y = 17 → (2)
multiplying (1) by 2 and adding to (2) will eliminate y
12x - 2y = - 30 → (3)
add (2) and (3) term by term to eliminate y
13x + 0 = - 13
13x = - 13 ( divide both sides by 13 )
x = - 1
substitute x = - 1 into either of the 2 equations and solve for y
substituting into (2)
- 1 + 2y = 17 ( add 1 to both sides )
2y = 18 ( divide both sides by 2 )
y = 9
solution is (- 1, 9 )
Kisha saved $12.00 when buying a coat.the coat was on sale 30%off. What’s was the original price of the coat
Answer:
$40
Step-by-step explanation:
36 dollars. bc if its 30 percent then its less than half:)
Give the most precise classification for each figure
Answer: kite
Step-by-step explanation:
Looks like a kite
Plz give me brainiest
kite
Step-by-step explanation:
this is a kite is a quartlateral but it bisects equally so it's a kite
There are 7 students participating in a spelling bee. In how many ways can the students who go first¸ second¸ third¸ and fourth be chosen?
Answer:
840
Step-by-step explanation:
7 * 6 * 5 * 4 = 840
The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.
What is Permutation?Permutation helps us to know the number of ways an object can be arranged in a particular manner. A permutation is denoted by 'P'.
[tex]^nP_r = \dfrac{n!}{(n-r)!}[/tex]
where,
n is the number of choices available,
r is the choices to be made.
The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth = ⁷P₄ = 840
Hence, The number of ways the student can be chosen as who goes first¸ second¸ third¸ and fourth is 840.
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will mark brainliest!!
Answer:
1/4×322.54
=80.635
round off
it's 80.64
find the area of the semicircle
Answer:
77 this answer is rounded to the nearest tenth
Step-by-step explanation:
The formula for the are of a circle is A=πr² so thats π7² which is equaled to about 153.9 since this is a semicircle you'd divide that by two giving you 76.96902.
Operation with parenthee ,5 number , two different operation and ha a value of 20
The equation is (5 x 2) - (5 + 5) = 20
The given equation can be solved by performing the operations within the parentheses first.
First, 5 x 2 = 10, then 5 + 5 = 10.
Then, the next step is to subtract the second set of parentheses from the first set, 10 - 10 = 0.
Finally, we can see that 0 + 20 = 20.
In this equation, the operation of multiplication and addition are used and the final value is 20.
The equation is (5 x 2) - (5 + 5) = 20
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Complete Question is -
solve the following mathematical operation that involves parentheses, five numbers, two different operations and has a value of 20?
A jar contains 7 red jelly beans, 2 black jelly beans and 6 green jelly beans. You draw ONE jelly bean. What is the probability of drawing a red bean? a. c. 1 b. d.
Answer:
7/15
Step-by-step explanation:
number of favorable outcomes (red jelly beans) = 7
number of total outcomes (total jelly beans) = 7 + 2 + 6 = 15
probability of red = number of favorable outcomes/number of total outcomes = 7/15
The probability of getting a red jelly bean is 7/15
Total number of jelly beans in the jar (sum of all the jelly beans): 7+6+2= 15
Total number of red jelly beans: 7
Therefore, the probability of getting a red jelly bean= number of red jelly beans/ total number of jelly beans
=7/15
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The side of a square is 2.5 find its perimeter and area
Answer:
perimeter = 10
area = 6.25
Step-by-step explanation:
Every square has four equal sides. If we know one side is 2.5, then all sides are 2.5.
2.5*4 = 10
To find the area of a square you multiply the height and length. Since all sides of a square are the same, you just multiply 2.5 with itself.
2.5*2.5=6.25
Mr Espinoza randomly chooses one of five toll booths when entering a toll road when driving to work. What is the probability he will select the middle toll booth on Monday and Tuesday
The probability that Mr. Espinoza will select the middle toll booth on Monday and Tuesday is 8%.
What is the probability?Probability refers to the odds of Mr. Espinoza selecting the middle toll booth on Monday and Tuesday when he could have selected toll booths 1, 2, 4, or 5.
The chances of selecting one out of five toll booths = 1/5 or 0.2
The likelihood of Monday and Tuesday out of the five working days = 2/5 or 0.4
The probability of selecting the middle toll booth on Monday and Tuesday = 1/5 x 2/5
= 0.2 x 0.4
= 0.08
= 8%
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1. You may get up to 35 gallons of gas at a time at the gas station. What inequality is that?
The inequality is x ≤ 35, where x represents the amount of gas in gallons.
This question means by the statement that we have been given that the number of gallons cannot exceed 35 so it actually means that they are either 35 or less than 35. so will use < = sign to come up with this equation.
You can have up to 35 gallons of gas at a time at the gas station. The inequality x ≤ 35 represents the fact that x (the amount of gas in gallons) is less than or equal to 35.
This means that the equation will be x≤35
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A line is parallel to y = -3x + 2 and
intersects the point (4, 3). What is the
equation of this parallel line?
y = [?]x + [ ]
Hint: Use the Point-Slope Form: y - y₁ = m(x -x1)
Then write the equation in slope-intercept form.
Enter
Answer:
the equation of line parallel to y=-3x+2
is y=-3x+k---(1)
Since,line(1) passes through point (4,3).
3=-3(4)+k
or,3=-12+k
or,k=3+12
:.k=15
Putting value of k in line (1), we get
y=-3x+15,which is the required eqn.
*mark me brainliest
What is unsolvable problem with an example?
Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.
Define the algorithm.A method for performing calculations or solving problems is known as an algorithm. Algorithms act as a thorough set of instructions that step-by-step direct hardware- or software-based processes through a series of planned activities. In every aspect of IT area, algorithms are utilized regularly.
Here,
The halting problem is one of the most popular unsolved issues. It poses the following inquiry:
Does M halt when it is given the input w for an arbitrary Turing machine over the parameters alphabet = a, b and an arbitrary string w over
The halting problem can be demonstrated to be indecidable and so unsolvable.
Therefore , the solution of the given problem of algorithm comes out to be the halting problem can be demonstrated to be indecidable and so unsolvable.
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Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 333 trips, and for each trip Lennox gets 300300300 dollars. On a single trip, a truck delivers 505050 packs, and each pack contains 121212 kilograms of apples. Overall, Lennox sells 450045004500 dollars worth of apples in a week.
How many trucks are in Lennox's fleet?
Answer:
5 trucks
Step-by-step explanation:
Answer: 5
Step-by-step explanation:
MOEN fip
ew
Samera placed the congruent sides of these two triangles together to form a quadrilateral.
2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.
Which statements are true of the quadrilateral she constructed? Select three options.
It is a rectangle.
It is a trapezoid.
It has only one right angle.
It has two right angles.
It has two sides that are parallel.
The correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.
What is a trapezoid?A quadrilateral with at least one pair of parallel sides is called a trapezoid.
Given that, Samara placed the congruent sides of these two triangles together to form a quadrilateral.
2 triangles are connected at one side. One triangle has angles 25 degrees, 125 degrees, 30 degrees. The other triangle has angles 30 degrees, 60 degrees, and 90 degrees.
If we construct such quadrilateral, we will get a trapezoid with one angle a right angle.
Hence, the correct statements are It is a trapezoid, It has only one right angle, It has two sides that are parallel.
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Answers:
1. B its a trapezoid
2. D it has two right angles
3. E it has 2 sides that are parallel
Step-by-step explanation:
Find the area of the semi-circle with the radius of 4. 1mm. Round to the nearest tenth
The area of the semi-circle with the radius of 4.1 mm, round to the nearest tenth is 52.8 mm²
The area of the semi-circle will be calculated by the formula -
Area = 1/2πr², where r is the radius of the circle.
Keep the values in formula to find the value.of area of semi circle
Area = 1/2×3.14×4.1²
Performing multiplication on Right Hand Side of the equation to find the area of the semi-circle
Area = 52.78 mm²
Round off the nearest tenth
Area = 52.8 mm²
Thus, the area of semi-circle with mentioned radius is 52.8 mm².
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what can 15 and 3 both be divided by
Answer: 15 and 3 can both be divided by 3 and 1
Answer:
tres y uno
Step-by-step explanation:
1. s = 1/2(u+v)t
make u the subject and show the steps plz
2. p/2 = √t +r /9
make t the subject and show the steps plz
tan(180°+30)_2tan(180°_30)
Answer:
[tex] \tan(180 \degree + 30\degree) - 2 \tan(180\degree - 30\degree) \\ = \frac{ \sin(210\degree) }{ \cos(210\degree) } - 2 \frac{ \sin(150\degree) }{ \cos(150\degree) } \\ = \frac{ - 0.5}{ - \frac{ \sqrt{3} }{2} } - 2 \frac{0.5}{ - \frac{ \sqrt{3} }{2} } \\ = \frac{0.5 + 1}{ \frac{ \sqrt{3} }{2} } \\ = 0.693 \\ = ln(2) [/tex]
please help me do this equation I will really appreciate it
Answer:
(-3, 5)
Step-by-step explanation:
parallelograms and relatively even shapes, so how ever far apart the bottom two vertices are apart is how far apart you would space the top ones. simply add the x coordinates absolute values (meaning ignore negative values for now) 6+0=0. 6 Units away from 3( top vertex is (3,7)) would be -3. for the y coordinates you gotta look at y coordinates of the top vertex and bottom right vertex. they're ten units apart. go ten up from -5( because the bottom left vertex is (-6,-5) and you get 5. so overall (-3,5) would be the last vertex
Answer:
(-3,5)
Step-by-step explanation:
Since parallelograms are relatively even shapes, the distance between the bottom two vertices determines the distance between the top two. Simply add the absolute values of the x coordinates (meaning ignore negative values for now) 6 + 0 = 0 -3 is 6 units away from 3 (top vertex is (3,7)). Look at the y coordinates of the top vertex and bottom right vertex for the y coordinates. They're separated by ten units. Since the bottom left vertex is (-6,-5) and you get 5, go ten up from -5.
How do you make a graph compare two sets of data?
There are several ways to make a graph to compare two sets of data, but one common method is to use a line graph.
The steps to create a line graph to compare two sets of data:
Organize the data: Arrange the data into two columns, one for each set of data. Each column should have a label at the top to indicate what the data represents.
Choose a scale: Decide on an appropriate scale for the x- and y-axes that will allow you to clearly display the data. The x-axis should represent the categories being compared, and the y-axis should represent the values of the data.
Plot the data: Using the chosen scale, plot the data points for each set of data on the graph. Use different colors or symbols for each set of data to make it easy to distinguish between the two.
Add a title: Give the graph a title that describes what the graph is showing.
Add a legend: Add a legend to the graph to indicate what each set of data represents.
Add labels: Label the x- and y-axes to indicate what they represent.
By following these steps, you can create a clear and informative line graph that allows you to easily compare two sets of data.
Other types of graph that can be used to compare two sets of data are bar charts, scatter plots, and stacked bar charts. The choice of graph depends on the type of data you have, and what you want to compare or highlight.
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