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3 years ago

14

Use the function r=n-7 to find the value of r when n =10

1 answer:

harkovskaia [24]3 years ago

8 0

Answer:

r=3

Step-by-step explanation:

if n=10

r=n-7

r=(10)-7

r=3

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Write equivalent fractions for 1/3 and 1/4 using 12<br> as the common denominator

oee [108]

Answer:

1/3 = 4/12

1/4 = 3/12

Step-by-step explanation:

1/3 * 4/4 = 4/12

1/3 = 4/12

1/4 * 3/3 = 3/12

1/4 = 3/12

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2 years ago

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Kyle has a loan of $32,890.

kow [346]

Answer:

A) 2631.20

Step-by-step explanation:

8% of 32,890 is 2631.2

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2 years ago

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Find all values of the angle θ (in radians, with 0 ≤ θ < 2π) for which the matrix a = cos θ −sin θ sin θ cos θ has real eigen

harina [27]

The matrix

$A=\begin{bmatrix}\cos\theta&-\sin\theta\\\sin\theta&\cos\theta\end{bmatrix}$

has eigenvalues $\lambda$ such that

$\det(A-\lambda I)=\begin{vmatrix}\cos\theta-\lambda&-\sin\theta\\\sin\theta&\cos\theta-\lambda\end{vmatrix}=0$

$(\cos\theta-\lambda)^2+\sin^2\theta=0$

$(\cos\theta-\lambda)^2=-\sin^2\theta$

$\cos\theta-\lambda=\pm\sqrt{-\sin^2\theta}$

$\lambda=\cos\theta\pm\sqrt{-\sin^2\theta}$

$\sin^2\theta\ge0$ for all values of $\theta$ , so we need to have $\sin\theta=0$ in order for $\lambda$ to be real-valued. This happens for

$\sin\theta=0\implies\theta=n\pi$

where $n$ is any integer, and over the given interval we have $\theta=0$ and $\theta=\pi$ .

4 0

2 years ago

1. If A+B+C=180

ruslelena [56]

Step-by-step explanation:

Hey there!

Look explanation in picture.

<em><u>Hope </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

8 0

3 years ago

For the mathematics part of the SAT the mean is 514 with a standard deviation of 113, and for the mathematics part of the ACT t

otez555 [7]

Answer:

Bob performed better in mathematics part of the SAT than the ACT

Step-by-step explanation:

We need to calculate the z-scores for both parts and compare them.

Z-score for the SAT is calculated using the formula:

$Z=\frac{X-\mu}{\sigma}$

where $\mu=514$ is the mean and $\sigma=113$ is the standard deviation, and $X=660$ is the SAT test score.

We plug in these values to obtain:

$Z=\frac{660-514}{113}$

$Z=\frac{146}{113}=1.29$ to the nearest hundredth.

We use the same formula to calculate the z-score for the ACT too.

Where $\mu=20.6$ is the mean and $\sigma=5.1$ is the standard deviation, and $X=27$ is the ACT test score.

We substitute the values to get:

$Z=\frac{27-20.6}{5.1}=1.25$ to the nearest hundredth.

Since 1.29 > 1.25, Bob performed better in mathematics part of the SAT

4 0

2 years ago