If f(x) = 7 sin x + 10 cos x,

Answers

Answer 1
Answer:

Answer:

7+1x=8, 8+10 =x18 is your answer


Related Questions

Which of the following scatterplots would have a trend line with a positive slope?
The daily demand for ice cream cones at a price of $1.20 per cone is 50 cones. At a price of $2.20 per cone, the demand is 30 cones. Use linear interpolation to estimate the demand at a price of $1.50 per cone.
7. Falls Canyon has an area of 1458 square miles. If the population density of deer is 50 deer per square mile, what is the total population of deer, rounded to the nearest thousand?70,00010,00073,0007,000
If a car travels at a constant speed of 45km/hr how long will a journey of 270km take?​
6.solve an inequality that represents the description and then solve Toni can carry up to 18 lb in her backpack.Her lunch weighs 1 lb, her gym clothes weigh2 lb, and her books (b) weigh 3 lb each. Howmany books can she carry in her backpack?

The drama club is participating in a bake sale to help them raise money for their next show. They want to raise $475. They have to pay $25 to have a table at the bake sale. How many cakes will they need to sell if they charge $9 per cake?Which equation could be used to solve this problem?

475 = 9 c + 25
475 = 9 c - 25
475 = 25 c - 9
475 = 25 c + 9

Answers

Answer:

D or A

Step-by-step explanation:

if this helps may i have brain pls

A rectangle has a length of 12 m and a width of 400cm. What is the perimeter of the rectangle?

Answers

Answer:

800 + 2400 = 3200

Step-by-step explanation:

Because 12 m = 1200 cm

A = L(2) +  W(2)

A = 1200 (2) + 400 (2)

A = 2400 + 800

A = 3200

At a large bank, account balances are normally distributed with a mean of $1,637.52 and a standard deviation of $623.16. What is the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650?

Answers

Answer:

P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)

And we can use the complement rule and we got:

P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the bank account balances of a population, and for this case we know the distribution for X is given by:

X \sim N(1637.52,623.16)  

Where \mu=1637.52 and \sigma=623.16

Since the distribution of X is normal then the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, (\sigma)/(√(n)))

And we can use the z score formula given by:

z = (\bar X -\mu)/((\sigma)/(√(n)))

And using this formula we got:

P(\bar X >1650)=P(Z>(1650-1637.52)/((623.16)/(√(400)))=0.401)

And we can use the complement rule and we got:

P(Z>0.401) =1-P(Z<0.401) = 1-0.656= 0.344

Answer: the probability is 0.49

Step-by-step explanation:

Since the account balances at the large bank are normally distributed.

we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = account balances.

µ = mean account balance.

σ = standard deviation

From the information given,

µ = $1,637.52

σ = $623.16

We want to find the probability that a simple random sample of 400 accounts has a mean that exceeds $1,650. It is expressed as

P(x > 1650) = 1 - P(x ≤ 1650)

For x = 1650,

z = (1650 - 1637.52)/623.16 = 0.02

Looking at the normal distribution table, the probability corresponding to the z score is 0.51

P(x > 1650) = 1 - 0.51 = 0.49

A customer enrolled in a 1-year product purchase plan that costs $60 per month. After 6 months, the customer received a monthly discount of 20%. What is the total amount the customer will pay for the 1-year plan?

Answers

$648 is the total amount the customer will pay for the 1-year plan

What is Percentage?

percentage, a relative value indicating hundredth parts of any quantity.

Given that a customer enrolled in a 1-year product purchase plan that costs $60 per month.

After 6 months, the customer received a monthly discount of 20%.

We need to find the total amount the customer will pay for the 1-year plan.

Product Plan = $60 per month

Money he pay for 1 month = $ 60

Money He pay for first 6 month = 6 × 60 = $ 360

after 6 month he receives 20% discount monthly,

So, Now he pay for 1 month = 60 - 20% × 60

=60-20/100×60

=60-12=48

Money he pay for last 6 month = 6 × 48 = 288

Total Money he  pay in a year = 360 + 288 = $ 648

Hence, $648 is the total amount the customer will pay for the 1-year plan

To learn more on Percentage click:

brainly.com/question/28269290

#SPJ2

Answer:

$432

Step-by-step explanation:

60*6=360

They paid $360 for the first 6 months.

20%*60=.2*60

0.2*60=12

12*6=72

They paid $72 for the last 6 months.

360+72=432

They paid $432

A rectangular gift box is 9inches inches wide, 12 inches long and 5 inches tall. How much wrapping paper is needed to cover the box exactly

Answers

Answer:

You will 426 \:in^2 wrapping paper to cover the box.

Step-by-step explanation:

To find how much wrapping paper you will need to cover the box, you will have to find the surface area.

The surface area is the amount of area around the outside of an object.

The outside surface area of a box is given by

                                S=2(h \cdot W) + 2(h\cdot L) + 2(W \cdot L)

where h is the height, W is the width, and L is the length of the box.

From the information given we know that the height is 5 inches, the width is 9 inches, and the length is 12 inches.

Applying the above formula we get that

S=2(5 \cdot 9) + 2(5 \cdot 12) + 2(9 \cdot 12) \nS=2\cdot \:45+2\cdot \:60+2\cdot \:108\nS=90+120+216\nS=426 \:in^2

You will 426 \:in^2 wrapping paper to cover the box.

A box is in the shape of a triangular prism. . The base of the triangular face of the box is 11 centimeters (cm). The height of the triangular face of the box is 7.5 cm. The length of the box is 15 cm. V =1/2hxbxl What is the volume of the box? A 277.5 cm B 577.5 cm C 618.75 cm D1237.5 cm

Answers

Answer:

618.75  cm^(3)

Step-by-step explanation:

((11 cm)(7.5 cm)(15 cm))/(2) =618.75 cm^(3)