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2 years ago

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A square prism has square sides with area ++x squared , plus 8 x plus 16 and rectangular sides with area ++2 , x squared , plus

15 x plus 28. What expression represents the surface area of the square prism?

1 answer:

Irina18 [472]2 years ago

3 0

Answer:

10x^2+76x+144

Step-by-step explanation: ayo if i helped thank me i hoped i did have a great day

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One pound of ground beef is $3.09. How much is 4.5 pounds? Round to the nearest hundredth, if necessary.

olga55 [171]

Since 1 pound is $3.09, 4.5 pounds will be:

$4.5*3.09=13.905$

It says to round to nearest hundredth, so your answer is $13.91.

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3 years ago

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Find the surface area of each figure?Please help

kolbaska11 [484]

--------------------------------------------------
Surface area of the cube
--------------------------------------------------
6(2.5 x 2.5) = 37.5m²

<em>(* Each area is 2.5 x 2.5, and there are 6 sides to the cube)</em>

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Surface area of the rectangle prism
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2(11 x 7) + 2(9 x 7) + 2(9 x 11) = 478m²

<em>(* The opposite side of the rectangle area is the same, therefore x2)
</em>
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Overlapping area
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2.5 x 2.5 = 6.25m²

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Surface area of the composite figure
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37.5 + 478 - 2(6.25) = 503m²

<em>(* The bottom of the cube and the top of the rectangle prism overlapped, so the area is overlapped twice, minus 2 times of that area)</em>

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Answer: 503m²
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3 years ago

Write the expressions "Four times the difference of a number and 7 is 32", "One third of a number is 12 less than the number its

Anna71 [15]

<u>Part 1)</u> "Four times the difference of a number and $7$ is $32$ "

Let

x--------> the number

we know that

the expressions is equal to

$4(x-7)=32$

therefore

<u>the answer part 1) is</u>

$4(x-7)=32$

<u>Part 2)</u> "One third of a number is $12$ less than the number itself"

Let

x--------> the number

we know that

the expressions is equal to

$\frac{1}{3} x=(x-12 )$

therefore

<u>the answer part 2) is</u>

$\frac{1}{3} x=(x-12 )$

<u>Part 3)</u> "Ten increased by the quotient of a number and $2$ is $-15$ "

Let

x---------> the number

we know that

the expressions is equal to

$10+ (\frac{x}{2} )= -15$

therefore

<u>the answer Part 3) is</u>

$10+ (\frac{x}{2} )= -15$

<u>Part 4)</u> "One less than the product of a number and $3$ is $5$ more than the number itself"

Let

x---------> the number

we know that

the expressions is equal to

$(3x)-1=5+x$

therefore

<u>the answer Part 4) is</u>

$(3x)-1=5+x$

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3 years ago

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If 5 times a number increased by 30 is 15, what is the number?

weqwewe [10]

Answer:

let x=the number

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5x=15-30

5x=-15

5x/5=-15/5

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3 years ago

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When people make estimates, they are influenced by anchors to their estimates. A study was conducted in which students were aske

12345 [234]

Answer:

The null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0$

where μ1: mean calorie estimation for the cheesecake group and μ2: mean calorie estimation for the organic salad group.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first (P-value=0.0000002).

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>"Suppose that the study was based on a sample of 20 people who thought about the cheesecake first and 20 people who thought about the organic fruit salad first, and the standard deviation of the number of calories in the cheeseburger was 128 for the people who thought about the cheesecake first and 140 for the people who thought about the organic fruit salad first.</em>

<em>At the 0.01 level of significance, is there evidence that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first?"</em>

<em />

This is a hypothesis test for the difference between populations means.

The claim is that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

Then, the null and alternative hypothesis are:

$H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2> 0$

The significance level is 0.01.

The sample 1 (cheese cake), of size n1=20 has a mean of 780 and a standard deviation of 128.

The sample 2 (organic salad), of size n2=20 has a mean of 1041 and a standard deviation of 140.

The difference between sample means is Md=-261.

$M_d=M_1-M_2=780-1041=-261$

The estimated standard error of the difference between means is computed using the formula:

$s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{128^2}{20}+\dfrac{140^2}{20}}\\\\\\s_{M_d}=\sqrt{819.2+980}=\sqrt{1799.2}=42.417$

Then, we can calculate the t-statistic as:

$t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-261-0}{42.417}=\dfrac{-261}{42.417}=-6.153$

The degrees of freedom for this test are:

$df=n_1+n_2-1=20+20-2=38$

This test is a left-tailed test, with 38 degrees of freedom and t=-6.153, so the P-value for this test is calculated as (using a t-table):

$P-value=P(t$

As the P-value (0.0000002) is smaller than the significance level (0.01), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean estimated number of calories in the cheeseburger is lower for the people who thought about the cheesecake first than for the people who thought about the organic fruit salad first.

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2 years ago