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3 years ago

I need help with 1-2 please help

Mathematics

1 answer:

valkas [14]3 years ago

7 0

1. The dimensions of the rectangle are 3 units by 4 units.

2. 0.3 x 0.4 = 0.12

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Given: Q = 7m + 3n, R = 11 - 2m, S = n + 5, and T = -m - 3n + 8.

svetoff [14.1K]

D -3m-4n+14. Once you write out the equation, you have to combine all the like terms, also known as simplifiying

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3 years ago

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Evaluate the integral x^3 (x 4 −8)^44 dx by making the substitution u = x^4 - 8

Eduardwww [97]

Answer:

(x^4-8)^45 /180 +c

Step-by-step explanation:

If u=x^4-8, then du=(4x^3-0)dx or du=4x^3 dx by power and constant rule.

If du=4x^3 dx, then du/4=x^3 dx. I just divided both sides by 4.

Now we are ready to make substitutions into our integral.

Int(x^3 (x^4-8)^44 dx)

Int(((x^4-8)^44 x^3 dx)

Int(u^44 du/4)

1/4 Int(u^44 dul

1/4 × (u^45 / 45 )+c

Put back in terms of x:

1/4 × (x^4-8)^45/45 +c

We could multiply those fractions

(x^4-8)^45 /180 +c

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3 years ago

Select all of the statements that are true for the given parabola.

Masja [62]

Answer:

A and B are true

Step-by-step explanation:

The minimum is the turning point on the graph and occurs at (1, - 2)

The x- intercepts are where the graph crosses the x- axis , that is at

x = - 1 and x = 3 or in coordinate form (- 1, 0 ) and (3, 0 )

The equation of the axis of symmetry is a vertical line passing through (1, - 2)

with equation x = 1

The true statements are A and B

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3 years ago

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Suppose that a random sample of size 36 is to be selected from a population with mean 50 and standard deviation 7. What is the a

frez [133]

Answer:

The probability that the sample mean will be within 0.5 of the population mean is 0.3328.

Step-by-step explanation:

It is provided that a random variable X has mean, μ = 50 and standard deviation, σ = 7.

A random sample of size, n = 36 is selected.

According to the Central Limit Theorem if we have a population with mean μ and standard deviation σ and we take appropriately huge random samples (n ≥ 30) from the population with replacement, then the distribution of the sample mean will be approximately normally distributed.

Then, the mean of the distribution of sample mean is given by,

$\mu_{\bar x}=\mu=50$