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fenix001 [56]
3 years ago
8

The formula v=√64h can be used to find the velocity v in feet per second of an object that has fallen h feet. Find the velocity

of an object that has fallen 30 feet. Round your answer to the nearest hundredth.
A) 960 feet/sec
B) 43.82 feet/sec
C) 240 feet/sec
D) 350.54 feet/sec
Mathematics
1 answer:
zhuklara [117]3 years ago
4 0

Answer:

  B)  43.82 feet/sec

Step-by-step explanation:

Fill in the number and evaluate:

  v = √(64×30) = √1920 ≈ 43.82 . . . . ft/s

_____

Of course, √(64h) can be simplified to 8√h. You know that √30 lies between 5 and 6, so the velocity lies between 8·5 = 40 and 8·6 = 48. There is only one answer choice in that range.

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Add.<br> (-x^3+26x^2-7-13)+(6x^4-x^3+8x+27)<br> express the answer in standard form.
Alex777 [14]
(-x^3+26x^2-7-13)+(6x^4-x^3+8x+27)\\\\=-x^3+26x^2-7-13+6x^4-x^3+8x+27\\\\=6x^4+(-x^3-x^3)+26x^2+8x+(27-7-13)\\\\=\boxed{6x^4-2x^3+26x^2+8x+7}
4 0
3 years ago
Kylie is comparing the cost of two housekeeping companies, DoItRight and CleanIt. The table describes the costs for DoItRight.
abruzzese [7]

Answer:

<u>First, find the cost function of DoItRight Housekeeping:</u>

  • Slope(m) = cost per hour = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{44-26}{3-1.5}=\frac{18}{1.5}=12

<em>The y-intercept(b), representing the initial cost, can be calculated by substituting in values to the function:</em>

f(x)=12x+b\\26=12(1.5)+b\\b=26-18=8

<u>Therefore, the function for two companies are:</u>

  • The function for DoItRight is f(x)=12x+8
  • The function for CleanIt is g(x)=10x+16

When comparing the two functions, it's shown how CleanIt has a greater y-intercept than DoltRight, meaning that CleanIt has a greater initial cost than DotRight. The y-intercept is when the graph intercepts the y-axis, therefore, the coordinates there would be (0, y-value), which, in this case for CleanIt company, will be (0, 16). While CleanIt has a greater y-intercept(initial cost), DoItRight has a greater slope, meaning they cost more per hour.

7 0
3 years ago
Rewrite each equation in vertex form by completing the square. Then identify the vertex.
ioda

ANSWER

Vertex form;

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

Vertex

V(  - \frac{3}{2} , -  \frac{35}{4} )

EXPLANATION

Given:

f(x) = 3 {x}^{2}  + 9x - 2

We complete the square as follows:

y = 3( {x}^{2}  + 3x) - 2

y = 3( {x}^{2}  + 3x +  \frac{9}{4} ) - 2 - 3 \times  \frac{9}{4}

The vertex form is:

y = 3( {x +  \frac{3}{2} })^{2}  -  \frac{35}{4}

The vertex is

V(  - \frac{3}{2} , -  \frac{35}{4} )

6 0
3 years ago
Read 2 more answers
BRAINLIEST IF RIGHT!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Trevon's Custom Kitchen Supplies sells handmade forks an
AURORKA [14]

Answer:

D. 9 forks and 6 spoons

Step-by-step explanation:

Let's calculate how many forks and spoons were made.  We need to guess a pair of variable values that will add up to $24.60.  We'll do this by substituting all the possible pairs in:

Here's the pair for A:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 8) + ($1.40 * 10)]

= [$14.40 + $14]

= $28.40

Is $28.40 equal to $24.60? No, this is not correct.

Here's the pair for B:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 8) + ($1.40 * 8)]

= [$14.40 + $10.80]

= $25.20

Is $25.20 equal to $24.60? No, this is not correct.

Here's the pair for C:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 9) + ($1.40 * 9)]

= [$16.20 + $12.60]

= $28.80

Is $28.80 equal to $24.60? No, this is not correct.

Here's the pair for D:

[($1.80 * a) + ($1.40 * b)]

= [($1.80 * 9) + ($1.40 * 6)]

= [$16.20 + $8.40]

= $24.60

Is $24.60 equal to $24.60? Yes, this is correct.

Therefore, we know the answer is (D) 9 forks and 6 spoons

We can also check by substituting these values to find the amount Trevon's Custom Kitchen Supplies earned last April:

[($4.60 * a) + ($5.40 * b)]

= [($4.60 * 9) + ($5.40 * 6)]

= [$41.40 + $32.40]

= $73.80

This is equal to the amount of money earned last April.

I hope this helps! Tell me if I'm wrong, please!

4 0
3 years ago
If UV = x+8, VW = 6x-8, and UW=14, what is VW?
Agata [3.3K]

Answer:

VW=4\ units

Step-by-step explanation:

step 1

Find the value of x

In this problem i will assume that  U,V and W are collinear and V is between U and W

so

UW=UV+VW ----> by addition segment postulate

substitute the given values

14=(x+8)+(6x-8)

solve for x

14=7x

x=2

step 2

Find the value of VW

VW=(6x-8)

substitute the value of x

VW=(6(2)-8)=4\ units

3 0
3 years ago
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