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evablogger [386]
2 years ago
13

Alexis needed 18 pounds of potatoes but only bought 4.8 pounds at store. How many pounds do she need

Mathematics
1 answer:
Norma-Jean [14]2 years ago
8 0

Answer:

Alexis still needs 13.2 pounds.

Step-by-step explanation:

18 minus 4.8 equals 13.2.

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Cedric completed the square for the quadratic expression 5x^2−40x+15 in order to determine the minimum value of the expression,
Olegator [25]

Answer:

Step 3 is not correct (should be (x-4)^2, not (x+4)^2

Step-by-step explanation:

The expression that we have to simplify is:

5x^2-40x+15

We proceed step-by-step, in order to find the mistake did by Cedric:

1) First, we factorize the 5 outside:

5(\frac{5x^2}{5}-\frac{40x}{5}+\frac{15}{5})=5(x^2-40x+3) --> this step is correct

2) We add +16 and -16 inside the brackets:

5(x^2-8x+16-16+3) --> this step is correct

3) We rewrite the term (x^2-8x+16) as the square of a bynomial, which is (x-4)^2, so the expression becomes

5((x-4)^2-16+3) --> we notice that this step is wrong: in fact, Cedric wrote (x+4)^2, which is not correct.

4) Now we continue: we rewrite -16+3 as -13,

5((x-4)^2-13)

5) Finally, we multiply the 5 by the terms in the bracket:

=5(x-4)^2-65

5 0
2 years ago
. According to a study done by researchers at Georgetown University, recent college graduates who majored in architecture have t
galben [10]

Answer:

The mean is 27.8

The required variance is 23.9358

Step-by-step explanation:

Consider the provided information.

Here the random sample size, n = 200

Unemployment rate is 13.9% = p = 0.139

Part (a) expected number of grads who are unemployed.

Mean = np\\Mean = 200\times 0.139\\Mean = 27.8

Hence, the mean is 27.8

Part (b) variance of the random variable "number of grads who are unemployed.

Variance = np(1-p)\\Variance = 200\times 0.139(1-0.139)\\Variance = 27.8(0.861)\\Variance = 23.9358

Hence, the required variance is 23.9358

8 0
3 years ago
Find the surface area of a cone with a radius of 4cm and a slant height of 7cm. Assume π has a value of 3.14
svetoff [14.1K]

Answer:

138.23cm^2

Step-by-step explanation:

I took an assessment with the same question

7 0
2 years ago
Read 2 more answers
Evaluate the expression 5 x (8 + 6 - 2).
LekaFEV [45]

Answer:

60x

Step-by-step explanation: this would be applying the distributive property

40x+30x-10x

70x-10x

hoped this helped

8 0
2 years ago
Read 2 more answers
Write an explicit formula for An, the nth term of the sequence 7, 42, 252, ...
AlekseyPX

Answer:

Step-by-step explanation:

This is a geometric progression.

Givens

a1 = 7

r = 6

Formula

a_n = a1 * r^(n - 1)

a_n = 7 (6)^(n - 1)

Sample

Try n = 3

a_3 = 7*(6)^(3-1)

a_3 = 7*(6)^2

a_3 = 7 * 36

.a_3 = 252      which is exactly what it should be.

3 0
2 years ago
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