The equation f = v + at represents the final velocity of an object, f, with an initial velocity, v, and an acceleration -
a, over time, t. Which is an equivalent equation solved for a?
Ofv=a
10-v=a
O a
(+v=a
o {+v=a

Answer:

62

Step-by-step explanation:

surface area of a rectangular prism = 2lw + 2lh + 2wh

Where l = length, w = width and h = height

The box has the following dimensions

length = 5 in

width = 3 in

height 2 in

Using these dimensions, we plug in the values into the formula

[tex]SA=2(5*3)+2(5*2)+2(3*2)\\5*3=15\\15*2=30\\5*2=10\\10*2=20\\3*2=6\\6*2=12\\SA=30+20+12\\30+20+12=62[/tex]

Hence, the surface area = 62

Answer:

i think its num 4

Step-by-step explanation:

Answer:

Below.

Step-by-step explanation:

1. Isosceles.

2. Scalene

3. Equilateral.

4. Right triangle.

Exponentiation is not clear

If so Exponentiation

a²b²+2ab(a²+1)+a²-b²-1

this answer

a²b²+2a³b-b²+2ab+a²-1

As for if so Exponentiation

[tex]a²b²+2ab(a²+1)+a² - b {}^{2 - 1} [/tex]

this answer

a²b²+2a³b+2ab+a²-b

The equation of the ellipse with foci at (0 ±10) and vertices at (0 ±11) is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

We have:

Vertices = (0, ± 11),

Foci = (0, ± 10)

The vertices and the foci are represented as:

Foci = (0, ± a)

Vertices = (0, ± c)

So, we have:

a = 10

c = 11

The equation of b is calculated using:

b² = c²- a²

So, we have:

b² = 11²- 10²

Evaluate

b² = 21

The equation of the ellipse is then represented as:

[tex]\frac{x^2}{b^2} + \frac{y^2}{a^2} = 1[/tex]

This gives

[tex]\frac{x^2}{21} + \frac{y^2}{10^2} = 1[/tex]

[tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

Hence, the equation of the ellipse is [tex]\frac{x^2}{21} + \frac{y^2}{100} = 1[/tex]

Read more about ellipse equations at:

https://brainly.com/question/10411406

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Answer:

x^2/221+Y^2/121=1

Step-by-step explanation:

i think a is the answer but am not sure

Answer:

D) 55.8

Step-by-step explanation:

Answer:

[tex]Z = 2[/tex]

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 21 and a standard deviation of 5.

This means that [tex]\mu = 21, \sigma = 5[/tex]

Find the Z score for a student that gets a 31

This is Z when X = 31. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{31 - 21}{5}[/tex]

[tex]Z = 2[/tex]

Answer:

median

Step-by-step explanation:

Answer: 664

Step-by-step explanation:

Take the amount of days, and multiply it by the miles per day

so

8 x 83 = 664 miles

Hope this helps!! (^_^)

Answer:

36

Step-by-step explanation:

6+6+6+6+6+6=36

The approximate diameter of the helicopter pad is 15.13 yards.

As a result, the helicopter pad's estimated diameter is 15.13 yards.

To know more about circumference visit:

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Answer:

its B i did chapter 11 test yesterday

Step-by-step explanation:

Answer:

288 points

2 minutes

5 minutes

Step-by-step explanation:

Given that :

Average point per game = 18 points

Number of games played = 16

Total points claimed = number of games played * average points per game

Total points = 18 * 16 = 288 points on average

Print rate = 12 pages per minute

Copying rate = 10 pages per minute

To print a 24 page research paper :

Time taken = number of pages / printing rate

Time taken = 24 / 12 = 2 minutes

To copy a 50 page paper :

Time taken = number of pages / copying rate

Time taken = 50 / 10 = 5 minutes

Answer:

288

Step-by-step explanation:

First, find how much of the desk each person can finish in 1 hour. Paul can finish 1/12 because he finishes the whole thing in 12 hours and Shawn can finish 1/8 because he finishes the whole thing in 8 hours.

Then find a common denominator and add those together to find how much they could do together in 1 hour.

2/24 + 3/24 = 5/24 So they can finish 5/24 of the desk in 1 hour if they work together.

So to finish 24/24 of the desk, they'll need to do 4 hours (20/24 of the desk) and 48 minutes (4/24 of the desk)

It asked for the number of minutes, so multiply 4 by 60 and add 48 to find the total number of minutes. 4*60 = 240 and 240 + 48 = 288

So it will take them 288 minutes to build the desk together.

9514 1404 393

Answer:

  x = y = 12

Step-by-step explanation:

A right triangle with a 45° angle is an isosceles right triangle. That means the legs are both the same length. The side ratios of such a triangle are ...

  1 : 1 : √2

Multiplying these ratios by 12 gives ...

  12 : 12 : 12√2 = x : y : 12√2

The side lengths x and y are both 12 units.

Answer:

your total is..

Step-by-step explanation:

$14.3 you just gotta add em all together!

Answer:

$69

Step-by-step explanation:

total cost of slices of pizza = 24 x 1.75 = $42

Total cost of carrots = 12 x 0.80 = $9.6

total cost of cookies = 12 x 1.45 = $17.4

total cost = 42 + 9.6 + 17.4 = $69

Answer:

167 books.

Step-by-step explanation:

30% =  50 books

1% = 50/30

100% =  (50/30) * 100

= 167 books.

Answer:17.5

Step-by-step explanation:

Our output value is 250

We represent the unknown value wit “x”

250= 100%

x= 7%

By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

250/x = 100%/7%

Again, the reciprocal of both sides gives

x/250= 7/100

X= 17.5

17.5=7% of 250

Answer:

(-3)^8

Step-by-step explanation:

Answer:

X=70

Step-by-step explanation:

70 + 75 + 35 =180

x + x+5 + x-35

Add 7 to both sides seems like the best next step.

If not then add 9.

Tell me if i'm wrong

Answer:

Add 7 to both sides

I think that's the answer

Answer: An equation may have more than one solution, or the solution(s) may be complex, rather than real, but it will always have one solution - and sometimes more than one.

Step-by-step explanation:

Answer:

The sale price was $67.20

Step-by-step explanation:

The sale price is 30% less than the original price.  Symbolically,

Sale price:  (100% less 30%) of $96, or

                     (1.00 - 0.30)($96), or 0.70($96) = $67.20

The sale price was $67.20

Answer:

Step-by-step explanation:

To properly apply the substitution method, it will be better for us to rearrange the system of equations to have similar variables on the same side

[tex]44 - 4 = -2y ----equation 1[/tex]

[tex]10 = 7x + 4y --- equation 2[/tex]

We can simply evaluate equation 1 to have

[tex]40 = -2y\\y = 40/-2 = -20\\[/tex]

y = -20

From the first equation alone, we can evaluate the value of y as -20. This is because only one unknown is present in equation one, hence a single equation is sufficient enough to evaluate it. If to unknowns were present, the two equations would have been utilized to evaluate the solution.

Answer:

a)H0: β1= 1 and Ha: β1 ≠1

b) The test statistic is____.t= b- β/ sb

c) The p-value is____.0.999144

(d) Therefore, we can conclude that:_____. there is not enough evidence to reject the null hypothesis.    

2) The data provides no evidence at the 0.1 significance level that these thermometers are not consistent.

Step-by-step explanation:

The null and alternate hypotheses are

H0: β1= 1 and Ha: β1 ≠1

The significance level is  alpha= 0.1 but ∝/2 =0.1/2= 0.05 for two tailed test.

The critical region at t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699

The test statistic is

t= b- β/ sb

which has t distribution with υ= 31-2= 29 degrees of freedom.

Calculations

Ŷ = a +bX

b = SPxy /SS x= Σ(xi-x`)(yi-y`)/Σ(xi-x`)²

b = 39671.6/39680= 0.9998

a = y` - bx`

x`= 60

y`= 59.989

a = 59.989 -0.9998*60 = 0.001734

Syx²= Σ( yi -y`)²/ n-2= 39663.3857/ 29=1367.68965

Syx= 36.9822

Sb= Syx/ √∑  (x-x`)²

Sb= 36.9823/ √39680

Sb= 36.9823/ 199.984

Sb= 0.18493

x-x`                 y-y`                    (x-x`)²     (x-x`)(y-y`)

-60                 -59.969            3600              3598.1419

-56                  -55.999           3136          3135.9458

-52                 -52.079             2704          2708.1097

-48                -47.959              2304           2302.0335

-44                 -43.899              1936          1931.5574

-40                -39.989               1600          1599.5613

-36              -36.009                1296            1296.3252

-32               -31.899              1024              1020.769

-28               -28.049             784                785.3729

-24                -23.959             576               575.0168

-20               -19.989             400                  399.7806

-16                 -15.939            256                  255.0245

-12               -12.039             144                    144.4684

-8                  -7.989             64                       63.9123  

-4                 -4.119                16                      16.4761

0                 -0.08903           0                         0

4                  3.921              16                      15.6839

8                7.961                64                       63.6877

12                12.121             144                     145.4516

16                16.031             256                   256.4955

20               20.021           400                  400.4194

24               24.111              576                   578.6632

28                28.071           784                     785.9871

32                 31.751            1024                    1016.031

36               36.031           1296                    1297.1148

40                39.961          1600                    1598.4387

44                43.881           1936                     1930.7626

48               48.021           2304                     2305.0065

52              52.001             2704                     2704.0503

56             56.051              3136                       3138.8542

60            60.041                3600                     3602.4581

∑0          0                 39680 (SSx)     39671.6 (SPxy)

Putting the values

The test statistic is

t= b- β/ sb

t= 0.9998-1/ 0.18493      ( β=1 given)

t=-0.0010815

Since the calculated t=-0.0010815  does not lie in the critical region  t ∝/2 (29)=  t ≤ - 1.699 , t ≥ 1.699 we conclude that these thermometers seem to be measure temperatures.

The p-value is  ≈ 0.999144

there is not enough evidence to reject the null hypothesis.