Find an equation equivalent to r=7csc theta in rectangular coordinates and describe the graph of the equation

Answer:

$485.06

Step-by-step explanation:

Answer:

$484.06

Step-by-step explanation:

$2,052.24 - 1,084.12 = 916.12

916.12 divided by 2 = 484.06

Answer: the rate of the current is 3 mph.

Step-by-step explanation:

Let x represent the rate of the current.

In still water, Jake paddles at a rate of 5 mph. Paddling with the current in a river, Jake traveled 16 miles. It means that the speed with which she travelled downstream (with the current) is (5 + x) mph

Time = distance/speed

Time spent in paddling downstream is

16/(5 + x)

While paddling upstream, it took an hour longer. The speed with which he paddled upstream is (5 - x) mph.

Jake could only travel 6 miles against the current. It means that the time spent in travelling upstream us

6/(5 - x)

Since it took 1 hour longer, then

6/(5 - x) = 16/(5 + x) + 1

Cross multiplying by (5 - x)(5 + x), it becomes

6(5 + x) = 16(5 - x) + 1(5 + x)(5 - x)

30 + 6x = 80 - 16x + 25 - 5x + 5x - x²

30 + 6x = - x² - 16x + 5x - 5x + 25 + 80

30 + 6x = - x² - 16x + 105

x² + 16x + 6x + 30 - 105 = 0

x² + 22x - 75 = 0

x² + 25x - 3x - 75 = 0

x(x + 25) - 3(x + 25) = 0

x - 3 = 0 or x + 25 = 0

x = 3 or x = - 25

Since x cannot be negative, then x = 3 mph

Answer:   x=3

Step-by-step explanation:

Took test

Answer:The first one is deposit and the second one is added to.

Answer:

Deposit and Added To

Step-by-step explanation:

Answer: The answer is circle

Step-by-step explanation: The explanation is that you can see by looking at the shape you can easily make a rectangle, etc but you can not make a circle :).

Answer:

circle

Step-by-step explanation:

Answer:

it is circle

Step-by-step explanation:

just got it correct

Answer: -3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Answer:

  4189 cubic units

Step-by-step explanation:

Put the value in the volume formula and do the arithmetic. The formula for the volume of a sphere is ...

  V = (4/3)πr³

Filling in 10 for r, we have ...

  V = (4/3)π(10³) = 4000π/3 ≈ 4189 . . . cubic units

Answer:

sorry, but you need to show the selectings

Step-by-step explanation:

Answer:

we cant see the choices

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Price reduction = 20 - 15 = $ 5

Percent decrease of price = (5/20)*100 = 5*5 = 25%

Answer:

Wendell is 24 years old.

Step-by-step explanation:

First write an equation to represent the situation.

x=Maggie's age

x+(3x-3)=33

Then solve for x

x+3x-3=33

4x-3=33

4x-3+3=33+3

4x=36

4x/4=36/4

x=9

Then solve for Wendell's age

y=Wendell's age

y=3x-3

y=3(9)-3

y=27-3

y=24

Wendell is 24 years old.

By setting up and solving a system of equations based on the information given, we find that Wendell is 24 years old.

In this question, we are asked to find out Wendell's age. First, we assume that Maggie's age is x. According to the problem, the sum of Wendell and Maggie's ages is 33, so we can write the first equation as Wendell's age + Maggie's age = 33. Next, we know that Wendell's age is three less than three times Maggie's age, so Wendell's age = 3*x - 3. Now, if we insert Wendell's age expression from the second equation into the first equation, we get 3*x - 3 + x = 33. When we solve this equation, we found that x equals to 9, hence, Maggie is 9 years old. That means, Wendell is 33 - 9 = 24 years old.

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Answer:

d

Step-by-step explanation:

Answer:

B on ed

Step-by-step explanation:

got D wrong on ed so it is B

Answer:

V = 282.10 cm³

Step-by-step explanation:

[tex]V= \pi r^2\frac{h}{3}[/tex]                   Use this equation to find the volume of the cone

[tex]V=3.14(3.5)^{2} \frac{22}{3}[/tex]            Simplify the (3.5)²

V = 3.14(12.25)(22/3)    Multiply

V = 282.10 cm³

If this answer is correct, please make me Brainliest!

Answer:

c

Step-by-step explanation:

its not a b or d so its c

Answer: C

Step-by-step explanation: on edge

Answer:

A.0.39 grams

margin of error at 90% confidence intervals is

M.E = 0.39 grams

Step-by-step explanation:

Explanation:-

Given a sample of size n = 25

mean of the sample x⁻ = 15 grams

Standard deviation of the sample 'S' =  1.5 grams

margin of error at 90% confidence intervals is determined by

[tex]Margin error = \frac{t_{0.90} S.D}{\sqrt{n} }[/tex]

The degrees of freedom ν = n-1 = 25-1 =24

The tabulated value t₀.₉₀ = 1.318

                              [tex]Margin error = \frac{1.318X 1.5}{\sqrt{25} }[/tex]

                             Margin of error = 0.3954

Conclusion:-

Margin of error at 90% confidence intervals = 0.3954

Answer:

D. 273

Step-by-step explanation:

(36*6)+57

216+57

273

Answer:

x = 0.5

Step-by-step explanation:

Answer:

4/81

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

hope it helps

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1 + r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1500

r = 3% = /100 = 0.0

n = 1 because it was compounded once in a year.

t = x years

Therefore, the equation to model this situation is

A = 1500(1 + 0.03/1)^1 × x

A = 1500(1.03)^x

When x = 10 years, then

A = 1500(1.03)^10

A = $2016

Answer:

1 bag

Step-by-step explanation:

Jerry only has $50.00 if 1 bag costs $26.88, even without taxes,  he can only buy 1 bag because 26.88+26.88=53.76

Answer:

C = 8π

Step-by-step explanation:

C = 2πr

C = 2π(8/2)

C = 2π × 4

C = 8π

Answer:

18.84 units

Step-by-step explanation:

diameter is 6 units so radius will be 3 units.

circumference = 2πr = 2×22/7×3

= 18.84 units

Answer:

12

Step-by-step explanation:

One fifth of 30 would mean u divide 30 by 5 which equals 6. Since it's two fifths you would have 12.

Answer:

the inter quartile range is 12.5

Step-by-step explanation:

Answer:

-44

Step-by-step explanation:

Answer:

  20.0 inches

Step-by-step explanation:

The formula for the volume of a cylinder is useful here.

  V = πr²h

Filling in the given numbers, we see ...

  5667.7 = (3.14)(9.5²)h

Dividing by the coefficient of h, we get ...

  h = 5667.7/283.385 = 20 . . . . inches

The height of the waste can is 20.0 inches.

_____

Comment on the solution

If you use a more exact value of pi, the height is closer to 19.9899 inches. It still rounds to 20.0.

Answer:

400

Step-by-step explanation:

Given:

Number of mocha cupcakes in a day = 340

Total number of cupcakes sold that day = [tex]85\%[/tex]

To find:

Total number of cupcakes sold by the bakery

Solution:

Let x denotes total number of cupcakes sold by the bakery.

According to question,

[tex]\frac{85}{100}x=340\\x=\frac{340}{85}\times 100=400[/tex]

So,

Total number of cupcakes sold by the bakery = 400

Answer:

No!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Step-by-step explanation:

formula:

a^2+b^2=c^2

Answer:

No

Step-by-step explanation:

The only way that those side lengths formed a right triangle is if they formed a  pythagorean triple. [tex]\sqrt{17^2+22^2}=\sqrt{773}\neq 29[/tex]. Therefore, that is not a right triangle. Hope this helps!

Answer: C. Fiona

Step-by-step explanation:

Answer:

For this case the hypothesis would be that after consuming alcoholic beverages the reaction time increases, so then the system of hypothesis for this case are:

The system of hypothesis for this case are:

Null hypothesis: [tex]\mu_y- \mu_x \leq 0[/tex]

Alternative hypothesis: [tex]\mu_y -\mu_x >0[/tex]

We can define the difference as: [tex]d_i=y_i-x_i[/tex]  

And the system of hypothesis are:

Null hypothesis:[tex] \mu_d \leq 0[/tex]

Alternative hypothesis: [tex] \mu_d >0[/tex]

Step-by-step explanation:

Previous concepts

A paired t-test is used to compare two population means where you have two samples in  which observations in one sample can be paired with observations in the other sample. For example  if we have Before-and-after observations (This problem) we can use it.  

Let put some notation  

x=test value before , y = test value after

Solution to the problem

For this case the hypothesis would be that after consuming alcoholic beverages the reaction time increases, so then the system of hypothesis for this case are:

The system of hypothesis for this case are:

Null hypothesis: [tex]\mu_y- \mu_x \leq 0[/tex]

Alternative hypothesis: [tex]\mu_y -\mu_x >0[/tex]

We can define the difference as: [tex]d_i=y_i-x_i[/tex]  

And the system of hypothesis are:

Null hypothesis:[tex] \mu_d \leq 0[/tex]

Alternative hypothesis: [tex] \mu_d >0[/tex]

Answer:

P(t) = 27000 * (8/9)^(t/4)

Step-by-step explanation:

The population of penguins in Antarctica decays by 8/9 every 4 months, starting from an initial count of 27,000. The function for the penguin population P(t) after t months is P(t) = 27,000 × (8/9)^(t/4).

Talulah, an ecologist, has observed that the population of penguins in Antarctica decays by a factor of 8/9 every 4 months. To model this decay, we can use an exponential decay function. Given that the initial population (P0) is 27,000 penguins, the function P(t) that models the population at time t (in months) since the beginning of Talulah's study is:

P(t) = P0 × (decay factor)(t/rate period)

Where P0 is the initial population, the decay factor is 8/9, and the rate period is 4 months. Plugging in these values gives us:

P(t) = 27,000 × (8/9)(t/4)

This function allows researchers to predict the penguin population at any given time t months after Talulah's initial observation.

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