Answer:
y = -x - 6
Step-by-step explanation:
Given:
slope = -1point (2,-8)From:
[tex]\displaystyle \large{y=mx+b}[/tex]
where m = slope and b = y-intercept. Therefore:
[tex]\displaystyle \large{y=-1x+b}\\\displaystyle \large{y=-x+b}[/tex]
Since the equation passes through a point (2,-8). Substitute x = 2 and y = -8 in and solve for b:
[tex]\displaystyle \large{-8=-2+b}\\\displaystyle \large{-8+2=b}\\\displaystyle \large{b=-6}[/tex]
Then substitute b-value in the equation:
[tex]\displaystyle \large{y=-x+b}\\\displaystyle \large{\therefore y=-x-6}[/tex]
Hence, the equation is y = -x - 6
Answer:
y = -x - 6
Step-by-step explanation:
Hi there!
We are given that a line contains the point (2, -8), and a slope of -1
We want to find the equation of this line, in slope-intercept form
Slope-intercept form is written using the formula y=mx+b, where m is the slope and b is the value of y at the y intercept, hence the name
Notice how we are already given the slope - we can immediately plug that into the equation as m.
y = -x + b (when -1 is the coefficient in front of a number, there is no need to write '-1x'. '-x' is sufficient.)
Now, we need to find b
The line contains the point (2, -8), meaning that it is a solution to the equation. If this is the case, that means that the values of x and y that make up the point will make the equation true, when you plug those values into the equation
So substitute 2 as x and -8 as y:
-8 = -2 + b
Add 2 to both sides
-8 = -2 + b
+2 + 2
_____________
-6 = b
Substitute -6 as b.
y = -x -6
Hope this helps!
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What do we multiply 24 by to get a 100
Answer:
you cant do that, you can only get to 96 by multiplying 24 by 4, ill keep trying tho if you really need this
Step-by-step explanation:
George wants to watch all 23 games that a football team will play at home next season.
He can buy
a season ticket costing £425
or 23 separate tickets costing £24 each ticket.
What percentage of the total cost of 23 separate tickets does George save by buying a
season ticket?
The percentage of the total cost of 23 separate tickets that George saves by buying a season ticket is 23%.
What are percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
As the cost of the separate ticket is £24, and there are a total of 23 games, therefore, the total cost of the 23 games separate ticket can be written as,
= £24 × 23
= £552
Now, the cost of the season ticket is £425, therefore, the percentage of the total cost of 23 separate tickets that George saves by buying a season ticket can be written as,
[tex]\rm Percentage = \dfrac{\text{Total cost of 23 seperate ticket}-\text{Cost of season ticket}}{\text{Total cost of 23 seperate ticket}} \times 100\%[/tex]
[tex]\rm Percentage = \dfrac{552-425}{552} \times 100\% = \dfrac{127}{552} \times 100\% = 23\%[/tex]
Hence, the percentage of the total cost of 23 separate tickets that George saves by buying a season ticket is 23%.
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y=[? ]°
Please help me!!
Sam confirmed there will be 192 guests at his party. He thinks each guest will eat
about .25 lb of hamburger, so he decides to order .25 x 200 = 50 lb
What did he use to determine the amount to order?
Answer:
Sam used estimation. He rounded the amount of guests (192) to the nearest hundred (200).
The Red Mills Children's Hospital has raised 70% of the money they need for medical supplies. If they need a total of $900, how much money has the hospital raised so far?
Answer:
$630
Step-by-step explanation:
They raised 70% of $900.
70% of $900 = 70% × $900 = 0.7 × $900 = $630
1. Suppose an online retailer has determined that if a potential customer spends more than 5 minutes on their site, that the probability of them making a purchase is 0.40. If 12 customers who spent more than 5 minutes on the site were randomly selected, what is the probability that more than 7 will make a purchase
Using the binomial distribution, it is found that there is a 0.056 = 5.6% probability that more than 7 will make a purchase.
What is the binomial distribution formula?The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
There are 12 customers, hence n = 12.The probability of any of them making a purchase is of p = 0.4.The probability that more than 7 will make a purchase is given by:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12).
Hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 8) = C_{12,8}.(0.4)^{8}.(0.6)^{4} = 0.042[/tex]
[tex]P(X = 9) = C_{12,9}.(0.4)^{9}.(0.6)^{3} = 0.012[/tex]
[tex]P(X = 10) = C_{12,10}.(0.4)^{10}.(0.6)^{2} = 0.02[/tex]
[tex]P(X = 11) = C_{12,11}.(0.4)^{11}.(0.6)^{1} \approx 0[/tex]
[tex]P(X = 12) = C_{12,12}.(0.4)^{12}.(0.6)^{0} \approx 0[/tex]
Then:
P(X > 7) = P(X = 8) + P(X = 9) + P(X = 10) + P(X = 11) + P(X = 12) = 0.042 + 0.012 + 0.02 + 0 + 0 = 0.056.
0.056 = 5.6% probability that more than 7 will make a purchase.
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Regular price $174 discount
40% find the sale price round to the nearest cent if necessary
Answer:
69.6 70 to the nearest cent
Step-by-step explanation:
I don't know how to explain
Below are some perfect square root numbers. What would the next perfect square root be?
[tex] \sqrt{4} [/tex]
[tex] \sqrt{9} [/tex]
[tex] \sqrt{16} [/tex]
[tex] \sqrt{25} [/tex]
Name a diameter.
8
G
E
A
FG
С
CE
B.
AB
D
BO
Answer:
FG
Step-by-step explanation:
Hello!
A diameter is a line segment that goes through the center of a circle and touches two points on the perimeter of the circle.
Here, we see two lines that touch two points of the circle (AB and FG) but only one segment, FG, goes through the center, given by the point O.
Hence, it is Option A: FG
You normally pay your line cooks $22 per hour, but one has worked overtime and should be paid time and a half. What is
the correct overtime pay per hour?
Answer:
$33 per hour
Step-by-step explanation:
"Time and a half" means the overtime rate is 1 1/2 times the base rate.
overtime rate = (1 1/2) × $22/hour = $(22 +1/2(22))/hour = $33/hour
The correct overtime rate is $33 per hour.
A 9-foot roll of wrapping paper costs $6.03. What is the price per yard?
~Denki Kaminari here~
so what we're going to do is, find the cost of wrapping paper per foot,
6.03 divided by 9 = 0.67
now we're going to convert the 9ft into yards,
1 yard= 3ft so, there are 3 yards.
now that we know that there are 3 ft in one yard, we are going to multiply 0.67 by 3
0.67x3= 2.01
so, we got $2.01 per yard
hope this helps :D
The ratio of the number of pineapples for a chocolate fondue dessert to people served is 1 to 5. If Deb wants to serve 80 people, how many pineapples will Deb use?
Answer:
16:80
Step-by-step explanation:
80 people * ( 1 pineapple / 5 people) = 16
airplane leaves City A and flies 142 km due north to City B. It then turns through an angle of 57° and flies 108 km to City C. What angle 8 with respect to
due north could the pilot have used to fly directly from City A to City C? See the figure below.
City
108 km
Carry your intermediate computations to at least four decimal places.
Round your answer to the nearest tenth of a degree.
Answer:
24.3°
Step-by-step explanation:
A suitable calculator can add the vectors directly. (See attached.) In this calculation, bearing angles are measured clockwise from north, so the initial vector has an associated angle of 0 degrees.
__
We can find the angle of interest by considering the distances north and east that city C is from city B. The relevant trig functions are ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
location of C relative to BThe direct distance from B to C is the hypotenuse of a right triangle whose right angle is at point "D" due north of B and due west of C. The distances of interest are ...
sin(57°) = DC/BC
DC = BC·sin(57°) = (108 km)sin(57°) ≈ 90.5764 km
cos(57°) = BD/BC
BD = BC·cos(57°) = (108 km)cos(57°) ≈ 58.8210 km
__
angle of C from AAnd the angle of interest can be found from ...
tan(θ) = DC/AD = (90.5764 km)/(142 km +58.8210 km) ≈ 0.451031
θ = arctan(0.451031) ≈ 24.3°
The pilot could have flown on a bearing of 24.3° to get to city C directly from city A.
_____
Additional comment
We can ignore the fact that bearing angles are measured CW from north, while conventional angles on a Cartesian plane are measured CCW from "east" (+x). Each coordinate system can be mapped to the other by flipping the map over along a NE-SW line (y=x), aligning the +x axis with north and the +y axis with east.
The diagram we used in working this problem is shown in the second attachment.
a school plans to start selling snacks at their basketball games they want to know what your snacks would be most popular
Answer:
takis
Step-by-step explanation:
everyone in gen z loves takis for some reason
Amana walks along oak from point a to b. to the nearest foot, how far does she walk? 75 ft 226 ft 307 ft 347 ft
Answer:
266
Step-by-step explanation:
Answer:226
Step-by-step explanation:
plss help me quickly tyyy
either question 5 or six cus I need the explanation:)))
Find FM using Pythagoras Theorem:
We're not after c^2 using pythag - rearrange it:
It don't matter were the B or A is in the equation - it'll give u the missing length you're after.
c^2 - b^2 = a^2
8^2 - 5^2 = a^2
Square root both sides to get A on its own
A= root 8^2 - 5^2
= root 39
= 6.24499....
Or
6.24cm, but FM is root 39 I'll use throughout, even if I use 6.24 in calculations, it's to make things clearer for you.
Create diagonal line from B to E - drawing right-angle triangle A to B to E back to A.
AB is 16cm
AE is 8cm - given above
(because the triangle at the front & back are the same.)
Use Pythagoras Theorem for length BE:
a^2 + b^2 = c^2
16^2 + 8^2 = c^2
Square root
C = root 16^2 + 8^2
= 8 root 5
= 17.8885...
8 Square root 5 - I'll use for BE
Creat another triangle to find the angel -
B to E to (M between the length AD)
However, diagonal line B to M needed.
So, m is the mid-point of the base triangle, pretend to slice it in half from point M - this creates a mini rectangle. (ABM to MA - with M on side AD)
Now use this to find B to M:
(if MC is 5cm, BM is 5cm - on length BC)
C = root 16^2 + 5^2
= root 281
= 16.76305...
= 16.76
Create right-angle triangle:
Be to M back to B
BE= 8 root 5
EM = root 39
MB = root 281
So, the angle will be from EB to M.
EB is the hypotenuse
BM is the adjacent
AH means Cah, but the inverse
Cos-1(a/h)
Cos-1(root 281 / 8 root5) = 20.4326...
Thus, angle we're after is 20.43 degrees to 2.dp
(The easiest way for me to explain - it took a while)
Hope this helps!
Maria is making a candle in the shape of a cylinder. she wants the candle to have a height of 3 cm and a radius of 2 cm. how much wax does maria need? 12pi cm3 12pi cm2 18pi cm3 20pi cm2
The amount of wax that Maria will need to fill up the cylinder in this scenario is 12pi cm3 which is denoted as option A.
What is a Cylinder?This is defined as a a three-dimensional solid that holds two parallel bases joined by a curved surface usually at a fixed point and the volume is πr²h where r is radius and h is height.
Volume = πr²h
= π × 2² × 3
= 12π cm³
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Answer:
its A
Step-by-step explanation:
A meal that serves 6 people contains 5,364 calories.
How many calories are in each serving?
Enter your answer in the box.
The amount of calories in each serving of the meal given the amount of calories in 6 servings is 894 calories.
What does division mean?Division is the process of obtaining the quotient of a number by grouping a number into equal parts using another number. The sign used to denote division is ÷.
How many calories are in each serving?Calories in each serving = total calories / number of people
5364 / 6 = 894 calories
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A boat is 122 meters from the base of a lighthouse. The lighthouse is 34 meters tall. The angle formed with the lighthouse and sea level is 90 degrees.
A boat is 122 meters from the base of a lighthouse that is 34 meters above sea level. What is the angle of elevation from the boat to the top of the lighthouse? Round to the nearest degree.
°
Answer:
about 16°
Step-by-step explanation:
Make sure your calculator is in degree mode.
Drawing the right triangle, we see that the shorter leg is 34 meters, and the longer leg is 122 meters. So the angle of elevation is:
[tex] \tan( \alpha ) = \frac{34}{122} [/tex]
[tex] \alpha = { \tan }^{ - 1} \frac{34}{122} = 15.57[/tex]
Answer: 16
Step-by-step explanation:
got it right on edge :)
write an explicit formula for each geometric sequence
1000,200,40,...
Answer:
[tex]\text Explicit \ Formula :\ a_{n}= 1000\times (\frac{1}{5}) ^{n-1}[/tex]
Step-by-step explanation:
Let [tex]\left( a_{n}\right)[/tex] be our geometric sequence
The explicit formula for [tex]\left( a_{n}\right)[/tex] is :
[tex]a_{n}= a_1\times r^{n-1}[/tex]
where r is the common ratio
a1 is the first term
We notice that :
200/1000 = 1/5
40/200 = 1/5
⇒ r = 1/5
[tex]a_1 = 1000\ \ (given)[/tex]
Conclusion:
[tex]a_{n}= 1000\times (\frac{1}{5}) ^{n-1}[/tex]
homework problem lol
Answer:
G is the answer hope that helpd
The perimeter of a rectangle is 60 cm. Its width measures
16 cm. What is its length?
Let x = the length of the rectangle. Choose the equation that represents this
problem.
O A. 2x+32 = 60
B. X+ 16 = 60
O C. 2x-32 = 60
D. 2x+ 16 = 60
Answer:
Option a :- 2x+32 = 60
Step-by-step explanation:
Formula to calculate perimeter:-- P=2(l+w)
2(l+w) = P
2l + 2w = P
2x + 2(16) = 60
2x + 32 = 60
[tex] \therefore [/tex] The equation that represents this problem = 2x+32 = 60
Can someone please help me!
#BRAINLIEST
1- Ferald follows school rules
2- Lex and Jaye are gems
3- Jay loves adbobo and beef stew
4- Jake's best friend is his dog
5- Kim has self-discipline
Solve the inequality. | 7x + 5 | > 0
Answer:
x
=−
7
5
Step-by-step explanation:
A high school has 1,300 students, 320 of which are seniors. An administrator surveys 50 seniors and finds that 18 seniors plan to attend community college the year after they graduate. What is the population
The population of seniors who plan to attend community college is; 115.
Population and Sample sizeAccording to the task content;
It follows that the 50 senior students were surveyed and only 18 wanted to attend community college.On this note, the number of seniors who want to attend community college among the 320 seniors is;
(18/50) × 320 = 115.2.On this note, it follows that the number of seniors who want to attend community college is; 115 seniors.
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What is the probability that a hand of 5 cards chosen randomly and without replacement from a standard deck of 52 cards (which has 4 kings and 4 queens) contains the king of spades, exactly 1 other king, and exactly 2 queens
Answer: Approximately 0.0003047
As a fraction, it is equal to exactly 792/(2,598,960)
===========================================================
Explanation:
The king of spades must be in the hand, and we can pick any other king. There are 3 ways to pick the other king. Then there are 4 C 2 = 6 ways to pick the two queens. The 4C2 refers to the nCr notation. Or you could use Pascal's Triangle.
Overall, there are 3*6 = 18 ways to pick the king of spades, another king, and exactly 2 queens.
Then we have one more card to pick that isn't a king nor a queen. There are 4+4 = 8 cards that are either a king or queen, leaving 52-8 = 44 cards that are neither.
So there are 18*44 = 792 ways to pick a king of spades, another king, exactly 2 queens, and some other card that isn't a king nor queen.
This is out of 52C5 = 2,598,960 possible five card hands.
The probability we're after is roughly 792/(2,598,960) = 0.0003047
Side note: order does not matter with card hands.
Will give brainliest!! Can someone explain how to do this please? (Grade 10 math)
Answer:
The slop is +9, so add 9 each time
Step-by-step explanation:
Who invented mathematics??
Your experiment is using a one-tailed test with an alpha level of .05. Your alternative hypothesis predicts an increase in test scores. The correct value of z crit for this test is ____________.
Answer:
The correct value of z crit for this test is +1.645
Step-by-step explanation:
Determine which function has the greatest rate of change as x approaches infinity. f(x) = 4x 50 g(x) = 3x − 4 h(x) = 2x2 9x − 4 there is not enough information to determine the answer.
The slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
What is the slope?The slope is the ratio of rising or falling and running. The difference between the ordinate is called rise or fall and the difference between the abscissa is called run.
The functions are given below.
[tex]\rm f(x) = 4x+ 50\\\\ g(x) = 3x - 4 \\\\h(x) = 2x^2+ 9x- 4[/tex]
The slope of the f(x) and g(x) will be 4 and 3 respectively.
And the slope of the h(x) is 4x as the value of x increases the slope of h(x) will approach to the infinity.
The graph is shown below.
More about the slope link is given below.
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