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3 years ago

Write the domain and range.

Mathematics

1 answer:

Harrizon [31]3 years ago

7 0

Answer:

Step-by-step explanation:

the domain is : D = ]-3:2[

the range is : E = [- 4;5[

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The ratio of Julia’s peas to Vlada’s peas was 3:2. After Julia gave 15 peas to Vlada, she still had 10 more peas than Vlada. How

Ksenya-84 [330]

The ratio of Julia's to Vlada's peas was 3:2.
1. Julia gave Vlada 15 peas.
2. Vlada had how many peas?
3. Vlada had 4:2 peas after Julia gave her 15 more peas. (3:2+15=4:2)
4. Julia still had 15 more than Vlada.
5. Julia had 5:7 because (4:2+15=5:7)
6. To find out the amount of peas she had BEFORE she gave Vlada the peas, you subtract 5:7 from 15. That would equal 4:2.

8 0

3 years ago

What is the rate of change for f(x)=-2cos4x-3 on the interval from x=0 to x=pi over 4

Anestetic [448]

Answer:

$\frac{16}{\pi}$

Step-by-step explanation:

The average rate of a function $f$ on interval $x=a$ to $x=b$ is:

$\frac{f(b)-f(a)}{b-a}$ .

$a=0$ and $b=\frac{\pi}{4}$ here for this problem where $f(x)=-2\cos(4x)-3$ .

So we will need to evaluate $f$ for $x=0 \text{ and } b=\frac{\pi}{4}$ .

To find $f(0)$ we will replace $x$ in $f(x)=-2\cos(4x)-3$ with $0$ :

$f(0)=-2\cos(4(0))-3$

$f(0)=-2\cos(0)-3$

$f(0)=-2(1)-3$

$f(0)=-2-3$

$f(0)=-5$

To find $f(\frac{\pi}{4})$ we will replace $x$ in $f(x)=-2\cos(4x)-3$ with $\frac{\pi}{4}$ :

$f(\frac{\pi}{4})=-2\cos(4(\frac{\pi}{4}))-3$

$f(\frac{\pi}{4})=-2\cos(\pi)-3$

$f(\frac{\pi}{4})=-2(-1)-3$

$f(\frac{\pi}{4})=2-3$

$f(\frac{\pi}{4})=-1$

So now we need to compute the change in $f$ over the change in $x$ :

$\frac{-1-(-5)}{\frac{\pi}{4}-0}$

$\frac{-1+5}{\frac{\pi}{4}}$

Dividing by $\frac{\pi}{4}$ is the same as multiplying by $\frac{4}{\pi}$ :

$(-1+5)\cdot \frac{4}{\pi}$

$4 \cdot \frac{4}{\pi}$

$\frac{16}{\pi}$

8 0

3 years ago

Method of Least Squares, Evaluation of Cost Equation Lassiter Company used the method of least squares to develop a cost equatio

anyanavicka [17]

Answer:

(1) The cost formula is: y = $19,050 + $12·x.

(2) The cost of moving materials if 340 moves are made is $23,130.

(3) 82.81% of the variability in moving cost is explained by the number of moves.

Step-by-step explanation:

The computer output for the regression analysis of 80 data points is as follows:

Intercept: $19,050

Slope: 12

Coefficient of correlation: 0.91

Standard error: $220

(1)

The general formula of regression equation is:

y = a + b·x

Here,

a = intercept

b = slope

The cost formula is:

y = $19,050 + $12·x

(2)

Predict the cost of moving materials if 340 moves are made as follows:

$y = 19050 + 12\cdot x\\=19050+12\times 340\\=19050+4080\\=23130$

Thus, the cost of moving materials if 340 moves are made is $23,130.

(3)

The coefficient of determination R² specifies the percentage of the variance in the dependent variable (Y) that is forecasted or explained by linear regression and the forecaster variable (X, also recognized as the independent-variable).

The coefficient of determination R² can be computed by squaring the correlation coefficient value.

$R^{2}=(r)^{2}=(0.91)^{2}=0.8281$

Thus, 82.81% of the variability in moving cost is explained by the number of moves.

8 0

4 years ago

sophia used 1/3 of an ounce of cheese to make 1/12 of a pound of pizza dough. How many ounces of cheese are needed to amke a pou

poizon [28]

Sent a picture of the solution to the problem (s). When comparing two thing like these, use a proportion to solve for x (what you are missing).

6 0

3 years ago

What is 0.345345345 in recurring decimal notation?

masha68 [24]

Hey there! The answer is:

0.345 recurring

Explanation-

Since the digits 345 are all repeated,you would generally place a dot over all 3 recurring digits (a dot over the "3",a dot over the "4" and a dot over the "5").

Alternatively,You could place a bar over the digits(so one bar going over all 3 digits).

Hope this helps!

8 0

4 years ago

Read 2 more answers