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3 years ago

What does the number 2 represent in this function

Mathematics

1 answer:

romanna [79]3 years ago

6 0

Your answer is C) The ant is crawling at 2 feet per minute.

This is because in the function y = 2t + 5, the 2 represents the slope of the line, which means that for every 1 unit that you go across, you need to go 2 units up. Therefore, for every 1 minute, the ant gains 2 feet so it is crawling at 2 feet per minute.

I hope this helps! Let me know if you have any questions :)

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I WILL GIVE BRAINLIEST!!<br><br> Just need help for questions 88 and 90.

rusak2 [61]

Q90 is between 44 degrees till 65 degrees

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2 years ago

Who is greater 2/3 or 7/8

trapecia [35]

7/8 is greater because if you put the two fractions' denominator as the same one, than it is (2*8)/(3*8) and (7*3)/(8*3) which is 16/24 and 21/24 so 21/24 is greater which is also 7/8

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3 years ago

Read 2 more answers

A rectangular box with a square base and a cover is to be built to contain 640 cubic feet. If the cost per square foot for the b

mixer [17]

Answer:

$4800

Step-by-step explanation:

The cost is minimized when any pair of opposite faces of the box costs the same as any other pair. Since the top+bottom total $25 per square foot and the sides (left+right or front+back) total $20 per square foot, the area of a side must be 25/20 = 5/4 times the area of the top or bottom.

If we let x represent the length of one side of the square bottom, then 5/4x will be the height of the box. Its volume will be ...

(5/4x)(x²) = 640 ft³

x³ = (4/5)(640 ft³) = 512 ft³ . . . . . . multiply by 4/5

x = 8 ft . . . . . . . . . . . . . . . . . . . . . . . take the cube root

The base area is then (8 ft)² = 64 ft², and the cost of the top+bottom is ...

64 ft² × $25/ft² = $1600

The three pairs of opposite sides will cost 3×$1600 = $4800.

The minimum cost of the constructed box is $4800.

_____

You can also write an equation for the total cost in terms of x, the side length of the base. That cost function will be ...

c(x) = 15x² + 10x² + 10·4x(640/x²)

This simplifies to ...

c(x) = 25x² +25600/x

A graph shows the minimum is c(8) = 4800 (as above).

Algebraically, you can set the derivative to zero to find the value of x.

dc/dx = 0 = 50x -25600/x²

512 = x³ . . . . multiply by x²/50 and add 512

8 = x . . . . . . . take the square root. Same solution as above. <em>Cost is minimized when the side length of the base is 8 ft</em>.

8 0

3 years ago

The College Board provided comparisons of Scholastic Aptitude Test (SAT) scores based on the highest level of education attained

poizon [28]

Answer:

a. $H_{0}:$ u1≤u2

$H_{a} :u1>u2$

b P<0.05 rejected H

Step-by-step explanation:

College High School

485 442

534 580

650 479

554 486

550 528

572 524

497 492

592 478

487 425

533 485

526 390

410 535

515

578

448

469

The mean is the average . the sum of number over the number of observation

x1=525

x2=487

s.d1=59.42

s.d2=51.74

n1=16

n2=12 $\alpha =0.05$

Determine the hypothesis

$H_{0}:$ u1≤u2

$H_{a} :u1>u2$

find the degree of freedom $(\frac{s1^2}{n1} +\frac{s2^2}{n2} )^2/(\frac{s1^2}{n1} )^2/n1-1+(s2^2/n2)^2/n2-1\\\\(\frac{59.42^2}{16} +\frac{51.7476^2}{12} )^2/(\frac{59.42^2}{16} )^2/16-1+(51.74^2/12)^2/12-1$

p-value is the probability of obtaining the value of the test statistics. In the column of t-value in the row df=25

0.025<P<0.05

if the P value is actually less than or the same as the significant level, then the null hypothesis is rejected

P<0.05 rejected H

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2 years ago

If ΔEFG ~ ΔLMN with a ratio of 3:1, which of the following is true?

Westkost [7]

Answer:

EG/LN similar FG/MN

Step-by-step explanation:

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2 years ago