Find the surface area of the prism below.



Square meters

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

Answer:

Step-by-step explanation:

Alexis earned to equal Eduardo earned in how many weeks

Alexis earned           115 + 50w = Total        w equals weeks

Eduardo earned      130 + 40w = Total        w equals weeks

subtract equations    -15 + 10w =  0

                                            10w = 15

                                             w = 1.5 weeks   they both will have $190

Answer:

addition or multiplication

Answer:

solve 7+x-15=-2 2/3

Step-by-step explanation:

7+x-15=-2 2/3 -8+x=-8/3 x=-8/3+8 x=16/3 first question answer second question answer 5 1/3 5*3+1/3 15+1/3 16/3 3rd questiin answer 10 2/3 10*3+2/3 30+2/3 32/3 solve by this method another question

Answer:

H0 : μ = 120

H1 : μ < 120

We Can conclude that the number of infants that contract typhoid has reduced because the wells were put in place.

Step-by-step explanation:

Average Number of infants who contracted typhoid monthly = 120

Average Number of infants who contracted typhoid monthly after well installation = 90

The null and alternative hypothesis :

H0 : μ = 120

H1 : μ < 120

Obtain the test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(90 - 120) ÷ 40/sqrt(9)

-30 ÷ 13.3333

= - 2.25

The Pvalue at 95% confidence, df = n-1 = 9 - 1 = 8

Tcritical at 95%, df = 8 ; one tailed = 0.02728

Decision region :

Pvalue < α ; Reject H0

0.02728 < 0.05 ; Hence, we conclude that there is significant evidence that the average number of infants that contract typhoid has decreased because the wells were put in place.

Answer:

Given:

Subtracting:

You can now find y:

Solution (2.2, -3.4)

Answer:

Step-by-step explanation:

Since a total of 96 people have entered the store and 32 of them have bought 2 or more items, it is clear that the next person entering the store has a probability of 32/96 or 1/3 that he/she will buy 2 or more items.

Answer:

the graph because it should go down every 10 minutes not up.

Step-by-step explanation:

Answer:$19,740

Step-by-step explanation:

Hope its right.

Answer:

294

Step-by-step explanation:

Area = length x width

Area of one square is 7 x 7 or 49

There are 6 squares so do 49 x 6 or 49 + 49 + 49 + 49 + 49 + 49 + 49

Answer is 294.

Answer: The surface area is 294 mm2.

Step-by-step explanation:

A= l*w

A= 7*7

A=49

49*6= 294

Answer:

2) 81/16

3) 27

Step-by-step explanation:

I used the free app photomath

The answer is C

A is a circle so no.

B has a curve so no.

D isn't connected so obviously no.

Answer:

A if I'm not incorrect. Sorry if I am incorrect I'm bad at math.

Answer:

30

Step-by-step explanation:

Prime factorization of the numbers:

2 = 2 × 1

6 = 2 × 3

15 = 3 × 5

LCM(2, 6, 15)

= 2 × 3 × 5

= 30

Answer:

325 boys

Step-by-step explanation:

The ratio 5:7 represents 5+7=12 students. If we were to proportionalize this ratio to 780 students, we would multiply the ratio by 65/65 since 780/12=65.

Therefore, you have (5*65)/(7*65)=325/455 as your ratio. This means that there are 325 boys in the school

Answer:

what view?

and whats the question?

Step-by-step explanation:

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

Answer:

It is (a)

[tex]g(x) = ( { \frac{1}{4} x})^{2} [/tex]

Step-by-step explanation:

I hope that is useful for you :)

None of the given options are correct.

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

The point (4,1) is on the graph of the function f(x) = x^2. That means f(4) = 1.

We want to find the equation of a new function g(x) that satisfies the condition g(4) = 1.

One possible equation for g(x) that meets this condition is:

g(x) = a(x - 4)² + 1

where a is some constant that we need to determine.

Since the graph of g(x) is a parabola, we know that it has the form y = ax^2 + bx + c. We can use the point (4,1) to find a:

g(4) = a(4 - 4)² + 1 = 1

Simplifying this equation, we get:

a = 0

Therefore, the equation for g(x) is:

g(x) = 1

So the correct answer is (none of the above), because none of the given choices matches this result.

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Answer:

210 degrees

Step-by-step explanation:

The line is pointing at 210 degrees. You just have to turn the picture.

Answer:

c or 9

Step-by-step explanation:

Answer:

C: 9

Step-by-step explanation:

Answer:

1. f(x)=-x^2+40x+120. Answer: it would be the same answer

2. f(x)=−x 2 +40x+120. Answer: look at the both picture

Step-by-step explanation: Hope this help :D

Both functions have the same concavity—they are both concave downward.

Let's start with the first function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Since the second derivative is a constant (-2), it is negative for all values of x. Therefore, the first function has a concave downward shape.

Now let's move on to the second function, f(x) = -x² + 40x + 120.

First Derivative:

f'(x) = -2x + 40

Second Derivative:

f''(x) = -2

Similar to the first function, the second function also has a constant second derivative (-2) that is negative for all values of x. Therefore, the second function also has a concave downward shape.

In conclusion, both functions have the same concavity—they are both concave downward.

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Answer:

Step-by-step explanation:

5 number summery

Minimum: 56

Maximum: 68

Median: 62

First quartile: 59

Third quartile: 63

Step-by-step explanation:

option 1: 15+15+15=45

option 2: 50 usd

you tell me which is better

Use the combination formula.

5 C2 = 5!/5!3! = 10

The answer is 10

Answer:

10

Step-by-step explanation: