The winning time for the men's 400-meter race in each of the Olympic Games from 1976 to 1996 can be modeled by the equation y = −0.054x + 44.54 , where x is the number of years after 1976 and y is the winning time in seconds. If the relationship continues, which equation could be used to predict the winning time in the year 2020?

Answers

Answer 1

Answer:

D. y = −0.054(44) 44.54

Step-by-step explanation:

The difference in years from 1976 to 1996 is 20 years

But from 1976 to 2020 the years would be 44

So here put the value of x as 44  

Therefore the equation that could be used for predict the winning time for the year 2020 is y = −0.054(44) 44.54

Hence, the correct option is d.

ANd the rest of the options are incorrect


Related Questions

What is the value of x and the length of segment DE?
E
F
1.5 = 2x + 3
2. 10x + 15 = 9(9)
9
2x+3
x=
Length of DE =
units
D
5
С

Answers

Answer:

x= 6.6     Length of DE= 16.2

Step-by-step explanation:

I got it right on edge

Find the equation of the linear function represented by the table below in slope-intercept form

Answers

Answer:

y=10x-4

Step-by-step explanation:

To find the slope of the line, we will take 2 points.

(1,6), (2,16)

m=16-6/2-1

m=10/1 or m=10

Next, we will need to find b.

6=10(1) + b

6=10 +b

-4=b

y=10x-4

Please answer this question I cant figure it out.

Answers

Answer:

G

Step-by-step explanation:

10x20=200

8x25=200

Answer:

G: 8 in. wide and 25 in. long

Step-by-step explanation:

10 x 20 = 200

5 x 25 = 125 (nope)

8 x 25 = 200

Use the given data to find the best predicted value of the response variable x. Ten pairs of data yield r=0.003 and the regression equation y=2+3x, and it is determined that is not a good model. Also, the mean of y values= 5.0. What is the predicted value of y for x=2

Answers

Answer:

Step-by-step explanation:

Given the regression equation :

y=2+3x

Mean of y values ; y = 5.0

Where y is the predicted variable ; x = predictor variable

The predicted value of y for X = 2

Null: H0 = 5

Alternative H1 : ≠ 5

Sample size (n) = 10 pairs

Degree of freedom = n - 2 = 10 - 2 = 8

Chinki has some ‘fraction bars'. The longest bar is the red one (R).
She has some purple bars (P) that are 3⁄4 of the length of the red one, some yellow bars (Y) that are 1⁄2 of the length of the red one and some green bars (G) that are 1⁄4 of the length of the red one. Chinki wants to arrange 2 or more different bars end to end to create a bar equal in length to the red bar. 3 DIFFERENT WAYS of doing it are shown:
(Note that GGY and YGG are two DIFFERENT arrangements.)
In all, how many different arrangements like these are possible?

Answers

Answer:

7

Step-by-step explanation:

Other ways are:

GP, PG, GYG, GGGG

So in total there are:

3 (given) + 4 = 7 arrangements

When James family went on the road to the carnival they were stuck in traffic. After a 20 minutes they are were 30 more miles left, after 35 minutes passed. How many more miles are left? If the fair is 58 miles away?

Answers

Answer:

They would be 5.5 miles away because if you take 20 divided by 20 to get 1 minute you would have to take 30 divided by 20 to get 1.5 miles per 1 minute. Then you would have to take 1 times 35 to get 35 minutes and you would have to take 1.5 times 35 to get 52.5. Then lastly you would take 58 miles and subtract 52.5 to get 5.5 miles therefor your answer would be 5.5 miles.

Step-by-step explanation:

Who ever gets them all right gets brainliest

Answers

Answer:

1. 34

2. 2

3. 8.5

4. 52

5. 6.6

6. 71

7. 2

8. 100

9. .5

Step-by-step explanation:

Find the area. Simplify your answer.
X+8
х

Answers

Answer:

x²+8x

Step-by-step explanation:

area of rectangle

l×w

(x+8)×x

x²+8x

The area of the rectangle is [tex]X^2 + 8X[/tex].

To find the area of a rectangle, we multiply its length by its width.

In this case, the length is (X + 8)

and the width is X.

so, we have,

Area = Length * Width

Area = (X + 8) * X

To simplify the expression, we need to distribute the X through the parentheses:

Area = X * X + 8 * X

Area = [tex]X^2 + 8X[/tex]

So, the area of the rectangle is [tex]X^2 + 8X[/tex].

To learn more on Area click:

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help!! i'll give brainliest

Answers

Answer:

Im pretty sure D

Step-by-step explanation:

The answer is D. because the y intercept is 3 and the slope is down 1 and over 2.
hope this helps.
Brainliest please!

Alyssa used a can of paint that was 5/6 full to touch paint her house. When she was done, the bucket was 11/30 full. What fraction of the can did she use?

Answers

Answer:

7 / 15

Step-by-step explanation:

Fraction before painting = 5/6

Fraction left after painting = 11/30

Fracrion used = difference of the fraction before painting and fraction left after painting

Fraction used = 5/6 - 11/30

Lowest common factor of 6 and 30 = 30

5/6 - 11/30 = (25 - 11) / 30 = 14/ 30

Fraction used = 14/30 = 7/15

The inequality 1.25x + 1.00y < 10.00 can be used by Jason to determine how many drinks, x, and nachos, y, he can buy for him and his friends if he wants to spend no more than $10.00. The graph of 1.25x + 1.00y = 10.00

A. Jason can buy 4 drinks and 5 nachos.
B. Jason can buy 5 drinks and 4 nachos.
C. Jason can buy 8 drinks and 0 nachos.
D.Jason can buy 6 drinks and 2 nachos.

Answers

Answer:

a

Step-by-step explanation:

1.25 times 4 =5, 1 times 5 =5

The answer would be A

The two cones below are similar. What is the height of the larger cone?​

Answers

Answer: B 35/4

Step-by-step explanation:

A publisher makes books for a number of distributors. For one book, the charge to the distributor is represented by a fixed cost of $3000 plus $16 per book. a) How much would 600 books cost b) what is the cost per book if 600 are ordered c) what is the cost per book if 1000 are ordered

Answers

Answer:

a. $12,600

b. $21

c. $19

Step-by-step explanation:

a) The cost is $3000 plus $16 per book

For 600 books, we have

3000 + 16(600)

= 3000 + 9600 = $12,600

b) Cost per book will be;

12,690/600 = $21

c) for 1000

= 3000 + 16(1000)

= 3000 + 16,000 = 19,000

cost per book is 19,000/1000 = $19


Light travels about 186,000 mi /s. The function d(t) = 186,000t gives the distance d(t), in miles, that light travels in t seconds. How far does light travel in 30 s

Answers

D(t) = 186,000 t

D(30) = 186,000 • 30

D(30) = 5,800,000 miles

Hope this helps!

The light will travel 5,580,000 miles in 30 seconds.

To understand the calculations, check below.

Distance :

The distance traveled by light is represented by function.

                   [tex]d(t)=186,000t[/tex]

To find the distance traveled by light in 30 seconds.

Substitute t=30 in the given function.

            d(30) = 186,000 × 30

             d(30) = 5,580,000 miles.

Hence, the light will travel 5,580,000 miles in 30 seconds.

Learn more about the distance here:

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A school conference room can seat a maximum of 83 people. The principal and two counselors need to meet with the school’s student athletes to discuss eligibility requirements. If each student must bring a parent with them, what is the maximum number of students that can attend each meeting?

Answers

Answer:

40 students

Step-by-step explanation:

We do not count the counselors or the principal because they are not students, so we do 83 - 3 = 80, now it is just simple division, for every student there is a parent, so we divide 80 in half, 80 / 2 = 40 students :D

Part 1:
A year ago, Ray's puppy weighed 8 pounds. Now his puppy weighs 25 pounds
more. How much does Ray's puppy weigh now? Explain using pictures,
numbers, or words.

Answers

Answer:

Puppy's current weight = 33 pounds.

Step-by-step explanation:

The weight of Ray's puppy 1 year ago = 8 pounds

Now, his puppy weighs 25 pounds  more.

All we need is to add the 8 pounds to 25 to determine the current weight.

i.e.

current weight = 8 + 25

                         = 33 pounds

Therefore, puppy's current weight = 33 pounds.

List the angles of the triangle from SMALLEST to LARGEST .

Answers

C. m k L hope it helps! not 100% sure

Answer:

<L,<K,<M

Step-by-step explanation:

angle M us the largest angle I think

Can someone explain this to me please?

Answers

Answer:

Option C

Step-by-step explanation:

Since, measure of all sides of the triangle has been given in the picture,

By applying cosine rule in the given triangle,

AC² = AB² + BC² - 2(AB)(BC)cos(B)

11² = 16² + 16² - 2(16)(16)cos(B)

121 = 256 + 256 - 512.cos(B)

121 - 512 = - 512.cos(B)

cos(B) = [tex]\frac{391}{512}[/tex] = 0.763672

B = [tex]cos^{-1}(0.763672)[/tex]

B = 40.2°

Therefore, measure of angle B is 40.2°.

Option C is the answer.

Simplify the expression. -2.5f + 0.4f - 14 - 3?

Answers

Answer:

-2.1f-17

Step-by-step explanation:

combine like terms

Answer:

-2.1f-17

Step-by-step explanation:

1. Combine like terms

Like terms are those that either have the same variable, degree, or no variable at all.

Here, -2.5f and 0.4f and -14 and -3 are like terms. -2.5f and 0.4f are like terms because they both have f beside them. The reason -14 and -3 are like terms is because they both stand alone with no variables.

Combining like terms means to either add or subtract them from each other depending on their signs.

Just think of them as two separate problems for now.

-2.5f + 0.4f = ?

add these two together to get -2.1f

-14-3

Subtract these to get -17.

2. Put the expression back together: -2.1f-17

I’ll mark as BRANLIEST!!

Please help me!!

40 POINTS!!!

Answers

Step-by-step explanation:

Notice that B = {1, 3, 5, 7} and C = {0, 2, 4, 6, 8, 10}.

A U B = {1, 3, 5, 7}.

B ∩ C = { }.

A U C = {0, 1, 2, 4, 5, 6, 7, 8, 10}.

2. A solar lease customer built up an excess of 6,500 kilowatt hours (kwh) during the summer using his solar
panels. When he turned his electric heat on, the excess began to be used up at a rate of 50 kilowatt hours
per day.
(a) If E represents the excess left and d represents (b) How much of the excess will be left after one
the number of days since the heat has been month (use a month length of 30 days)?
turned on, write an equation for E in terms of d.
(c) If the heat will need to be turned on for 5 months, will the excess be enough to last through this time
period? Justify your answer.

Answers

9514 1404 393

Answer:

  a)  E = 6500 -50d

  b)  5000 kWh

  c)  the excess will last only 130 days, not enough for 5 months

Step-by-step explanation:

Given:

  starting excess (E): 6500 kWh

  usage: 50 kWh/day (d)

Find:

  a) E(d)

  b) E(30)

  c) E(150)

Solution:

a) The exces is linearly decreasing with the number of days, so we have ...

  E(d) = 6500 -50d

__

b) After 30 days, the excess remaining is ...

  E(30) = 6500 -50(30) = 5000 . . . . kWh after 30 days

__

c) After 150 days, the excess remaining would be ...

  E(150) = 6500 -50(150) = 6500 -7500 = -1000 . . . . 150 days is beyond the capacity of the system

The supply is not enough to last for 5 months.

Her house is at (−4, 10). Her school is at (−4, 3). The community center is at (2, 3). The grocery store is at (−4, −6). Part A: Use absolute values to calculate the distance in units from Nina's house to her school

Answers

Answer:

7 units

Step-by-step explanation:

Given that :

house is at (−4, 10). Her school is at (−4, 3)

House location = (-4, 10)

School location = (-4, 3)

Distance from house to school (d) :

Distance between two points :

x = sqrt[(x2 - x1)^2 + (y2 - y1)^2]

x1 = - 4 ; y1 = 10 ; x2 = - 4 ; y2 = 3

d = sqrt[(-4 - (-4))^2 + (3 - 10)^2]

d = sqrt[(-4 + 4)^2 + (-7)^2]

d = sqrt(0 + (-7)^2)

d = sqrt(49)

d = 7 units

In ΔWXY, the measure of ∠Y=90°, XW = 89, WY = 80, and YX = 39. What ratio represents the cosine of ∠X?

Answers

Answer:

It's 39/89

Step-by-step explanation:

cos X = adjacent/ hypotenuse = 39/89

[tex]\frac{39}{89}[/tex] represents cosine of ∠X.

What is cosine?

'In a right-triangle, cos is defined as the ratio of the length of the adjacent side to that of the longest side which is the hypotenuse.'

According to the given problem,

In the right angle triangle ΔWXY,

Hypotenuse = XW = 89

Perpendicular = WY = 80

Base = YX = 39

We know,

cos∅ = [tex]\frac{Base}{Hypotenuse}[/tex]

⇒ cosX = [tex]\frac{39}{89}[/tex]

Hence, we can conclude that the ratio [tex]\frac{39}{89}[/tex] represents the cosine of ∠X

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solve for w
30= w/5 + 17
simply as much as possible

Answers

Answer:

w = 65

Step-by-step explanation:

What number that when divided by 5 the quotient can be added to 17?

65 :D (wish it was 69 though)

Answer:

65

Step-by-step explanation:

Can y’all help me on question 19

Answers

C is your answer. Because 8 times 1.75$ = $14.00 and 5 times 1.25= $6.25. So $14.00+ $6.25 = $20.25

Pleaseeee helpppp !!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

These are similar triangles.

By changing the length of the base of the corresponding triangle, the 3 interior angles of this triangle remain equal to the original

Therefore, if these triangles are similar, their corresponding sides must give equal ratios to each other:

This means that BF/FE = BC/CD=FC/ED

The total length of line segment BD=BC+CD; BC=6, CD=42; BD=6+42, BD=48

BE=BF+FE; BE=9+?

if BF/FE=BC/CD then 9/BE=6/42; 6/42=3/21 or 1/7. 9/BE=1/7; 1/7=9/BE

1x9=9, 7x9=63

63=BE

Step-by-step explanation:

Answer:BE is equal to 72.

Step-by-step explanation: They are similar triangles. We know CD and BC. So we can find the comparison between the two. And we see that BC x 7 = CD. So the same will be said for BF and FE. We have BF is equal to 9. So 9 x 7 = 63. However, now we need to add the two together in order to get BE. Because BF + FE = BE. So 9 + 63 = 72

Pls help im like 5 hrs behind in math

Answers

Answer:

The composite area is a total of 62 square inches.

Step-by-step explanation:

You're given three rectangles of different width and height.  To find the correct answer, you need to find the sum of each rectangles' area.

first though we need to find the height of the middle rectangle.  We are told the total height and the other two rectangles' heights, so we just need to subtract the others' heights from the total:

10 - (4 + 1.5)

10 - 5.5

= 4.5

So the middle rectangle is 4x4.5 inches, giving it an area of 18 square inches

The top one is 8x4 inches for a total of 32 square inches.

And the bottom one is 1.5x8 inches, for a total  12 square inches.

If we add them all up, that's 18 + 32 + 12 square inches, or 62 square inches.

A college cafeteria pays student cashiers $540 per hour. Cashiers earn an additional
$110 per hour for each hour worked over 35 hours per week. A cashier worked 39
hours one week and 37 hours the second -week. Show and explain to the cashier how her salary
would be calculated in this two-week period?

Answers

Answer:

total hr worked = 39 + 37 = 76 hr

salary per hr = 110 $

so total salary = 110 * 76 = 8360$

A piece of paper has a rectangle ABCD in which AB= 10 cm and BC = 22 cm , it was folded to form a right circular cylinder such that AB is cincident to DC . Find the volume of the resulted cylinder

Answers

Answer:  [tex]385cm^{2}[/tex]

Step-by-step explanation:

given data:

AB= 10 cm.

BC = 22 cm.

volume of a cylinder V = [tex]\pi r^{2} h[/tex]

h = 10.

solution

base of the circumference = 22cm

circumference of a circle = [tex]2\pi r[/tex]

r = radius is unknown.

[tex]2\pi r = 22[/tex] .........................eq1

where [tex]\pi = \frac{22}{7}[/tex] insert this into eq1.

[tex]2* \frac{22}{7}* r = 22[/tex]

[tex]\frac{44}{7} r = 22[/tex]

[tex]r = \frac{22}{\frac{44}{7} }[/tex]

[tex]r= 3.5cm[/tex]

next we solve for the volume of the cylinder.

recall   [tex]V = \pi r^{2} h[/tex]

h = 10cm

r = 3.5cm

[tex]V = \frac{22}{7} * (3.5)^{2} *10[/tex]

[tex]V = 385cm^{2}[/tex]

Please help me im very depressed and im struggling a lot on my math and i really need some answers

Which sequence shows the numbers in order from least to greatest?

Answers

pls dont cheat on quiz: ask for extra practice from teacher and ask questions if you don't get material

Answer:

B

Step-by-step explanation:

Negative numbers are always less than positive numbers. √11 will be positive and absolute value | | is how far the number is from 0, so it will be positive

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