All categories

3 years ago

Solve the equation?

Mathematics

1 answer:

Alex73 [517]3 years ago

3 0

Answer: i)36 degrees ii) 7

Step-by-step explanation:

i) the period is changed by what number is in front of the x. the period of a regular cos graph is 360 degrees, however, since there is a 10 in front of the x that means it goes 10 times as fast, shortening the period to 36 degrees (360/10).

ii)the number in front of cos signifies the amplitude, which is 7.

You might be interested in

What is the equation of the tangent line passing through the point (0, 3) of the graph of the function f(x) = x2 − 2x + 3?

Sergeeva-Olga [200]

Answer:

y = -2x + 3

Step-by-step explanation:

The given equation is:

$f(x)=x^2-2x+3$

First we need to find the slope of the tangent line. This can be done by finding the derivative of the given function.

$f'(x)=2x-2$

Slope of the tangent will be the value of the derivative at the given point. So the slope of tangent is:

$f'(0)=2(0)-2=-2$

Now we have slope of the tangent line and a point (0, 3) on the tangent. The point (0,3) is the y-intercept of the tangent line. So we can use slope-intercept form to directly write the equation of the line.

The slope intercept form of an equation is:

y = mx + c

where m is the slope and c is the y-intercept.

Using the values: m = -2 and c = 3, we get:

y = -2x + 3

This equation represents the tangent line

8 0

4 years ago

According to the U.S. Census Bureau, 42% of men who worked at home were college graduates. In a sample of 480 women who worked a

Likurg_2 [28]

Answer:

1) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

The point estimate for the proportion of college graduates among women who work at home is 0.327

2) $0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

Step-by-step explanation:

For this case we have the following info given:

$X = 157$ represent the women who worked at home who were college graduates

$n = 480$ the sample size selected

Part 1

In order to find the proportion of college graduates among women who work at home and we can use the following formula:

$\hat p=\frac{X}{n} = \frac{157}{480}= 0.327$

The point estimate for the proportion of college graduates among women who work at home is 0.327

Part 2

Construct an 80% confidence interval for the proportion of women who work at home who are college graduates. Round the answer to three decimal places. An 80% confidence interval for the proportion of women who work at home Is < p <

The confidence interval for the true proportion would be given by this formula

$\hat p \pm z_{\alpha/2} \sqrt{\frac{\hat p(1-\hat p)}{n}}$

For the 80% confidence interval the value for the significance is $\alpha=1-0.8=0.2$ and $\alpha/2=0.1$ , the critical value would be given by:

$z_{\alpha/2}=0.539$

And replacing we goot:

$0.327 - 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.315$

$0.327 + 0.539 \sqrt{\frac{0.327(1-0.327)}{480}}=0.339$

The 80% confidence interval is given by (0.315; 0.339)

6 0

3 years ago

Could someone please help answer this, thank you, will give brainliest, please no spam (homework help)

sveta [45]

Answer:

b<-1

the name of the app is on the search bar of the screenshot btw

Step-by-step explanation:

4 0

3 years ago

Here's a graph of a linear function. Write the

nikklg [1K]

Answer:

y= 3/2x + 1

Step-by-step explanation:

slope intercept form is y=mx+b. the m is the slope and the b is the y intercept. the y intercept is 1, where it crosses the y axis. the slope is 3/2 because from the y intercept which is 1, you go up 3 and over 2 right.

5 0

3 years ago

I got 1.1... is that right?

kap26 [50]

No, the answer is 2

X=2

This is because if we multiply the number by x which is 2

so DST is 110, and RSD is 44, so that is 154, and if we do it with RST we also get 154

So the correct answer is X=2

3 0

4 years ago

Solve the equation?​

Solve the equation?