What is the arc length if the radius is 12 cm?*
A
B
60°
O 12 pi cm
O 3 pi cm
O 4 pi cm
024 pi cm​

Answer:

8%: $1554

21%: $2446

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

[tex]E = P*I*t[/tex]

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

[tex]T = E + P[/tex].

In this question:

Two earnings, that i am going to call A(8% per year) and B(21% per year).

Two principals, for A i am going to call P and for B it is the rest, so 4000 - P.

A:

One year, so [tex]t = 1[/tex]

8% interest, so [tex]r = 0.08[/tex]

Earnings A.

[tex]A = P*I*t[/tex]

[tex]A = 0.08P[/tex]

B:

21% interest, so [tex]r = 0.21[/tex]

Principal (4000 - P).

[tex]B = P*I*t[/tex]

[tex]B = 0.21*(4000 - P)[/tex]

You'd like to earn exactly $638 in interest each year.

This means that [tex]A + B = 638[/tex]

Then

[tex]B = 638 - A[/tex]

Now we have to solve the following system:

[tex]A = 0.08P[/tex]

[tex]638 - A = 0.21*(4000 - P)[/tex]

So, on the second equation:

[tex]A = 638 - 0.21*(4000 - P)[/tex]

Replacing on the first:

[tex]A = 0.08P[/tex]

[tex]638 - 0.21*(4000 - P) = 0.08P[/tex]

[tex]638 - 840 + 0.21P = 0.08P[/tex]

[tex]0.21P - 0.08P = 840 - 638[/tex]

[tex]0.13P = 202[/tex]

[tex]P = \frac{202}{0.13}[/tex]

[tex]P = 1553.8[/tex]

Rounding up to the nearest integer

P = 1554.

So on A, the 8% interest, you invest $1554.

On B, the 21% interest, you invest 4000 - 1554 = $2446.

Answer: Wait so the sides are both 25 squares?

Step-by-step explanation:

Answer:

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet (P-value = 0.15).

Step-by-step explanation:

This is a hypothesis test for the difference between populations means.

The claim is that the liquid diet yields a higher mean weight loss than the powder diet.

Then, the null and alternative hypothesis are:

[tex]H_0: \mu_1-\mu_2=0\\\\H_a:\mu_1-\mu_2< 0[/tex]

The significance level is 0.05.

The sample 1 (powder diet group), of size n1=49 has a mean of 42 and a standard deviation of 12.

The sample 2 (liquid diet group), of size n2=36 has a mean of 45 and a standard deviation of 14.

The difference between sample means is Md=-3.

[tex]M_d=M_1-M_2=42-45=-3[/tex]

The estimated standard error of the difference between means is computed using the formula:

[tex]s_{M_d}=\sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma_2^2}{n_2}}=\sqrt{\dfrac{12^2}{49}+\dfrac{14^2}{36}}\\\\\\s_{M_d}=\sqrt{2.939+5.444}=\sqrt{8.383}=2.895[/tex]

Then, we can calculate the t-statistic as:

[tex]t=\dfrac{M_d-(\mu_1-\mu_2)}{s_{M_d}}=\dfrac{-3-0}{2.895}=\dfrac{-3}{2.895}=-1.04[/tex]

The degrees of freedom for this test are:

[tex]df=n_1+n_2-1=49+36-2=83[/tex]

This test is a left-tailed test, with 83 degrees of freedom and t=-1.04, so the P-value for this test is calculated as (using a t-table):

[tex]\text{P-value}=P(t<-1.04)=0.15[/tex]

As the P-value (0.15) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the liquid diet yields a higher mean weight loss than the powder diet.

Answer:

0.25 L at 0.1% and 0.75 L at 0.22%

Step-by-step explanation:

We have to:

         percent                                 quantity

  Salt solution # 1 0.1                            x L

 Salt solution # 2 0.22                     (1 - x) L

    Mixture 0.19%                                    1

We are left with the following equation:

0.1 * x + 0.22 * (1-x) = 0.19 * 1

solving:

0.1 * x + 0.22-0.22 * x = 0.19

0.1 * x- 0.22 * x = 0.19 - 0.22

-0.12 * x = -0.03

x = -0.03 / -0.12

x = 0.25

Which means

Salt solution # 1 0.1% 0.25 L should be used and for salt solution # 2 0.22% 0-75 (1 - 0.25) L

Answer:

i think C

Step-by-step explanation:

NOT SURE THO :)

Answer:

U

Step-by-step explanation:

Answer:

See I don't know the answer but I did another one like this if it doesn't help you can report it no problem

Step-by-step explanation:

There are 2 different ways you can solve this problem and you'll get the same answer.

To help you visualize what you have to do, it might be easiest to translate your problem to a unit that easier to use.

Since you only have a ribbon 5 feet long, but you must cut it into 6 pieces, you know it won't even be 1 foot long.

One way to solve the problem would be to translate your 5-foot ribbon into a ribbon divided into inches.

1 foot = 12 inches

To find out how many inches long your ribbon is, you'll need to multiply the number of feet by 12.

Once you know that, then you can more easily divide it by 6. This will tell you how many inches each ribbon is.

Careful! the answer is to be put into feet so once you know how many inches long the ribbon is, you must then divide by 12 to get the correct answer in feet. Don't forget to round to the nearest tenth.

Another way to solve the problem is to simply divide the 5 feet by the number 6 and then round your number to the nearest tenth. It may be harder to visualize the answer this way, but you will get the same answer as if you translated your ribbon into inches and then divided by 12.

Good luck! I hope this helps!

Answer:

Center = (10, 5)

Radius = 10

Step-by-step explanation:

Look at the picture

Answer:

One blue square equals 4.2 grams

Step-by-step explanation:

If the triangle is equal to three of the blue squares then you would have to divide the triangles value by three to get the squares value.

12.6/3 = 4.2

Answer:

dont braly me do it for him

Step-by-step explanation:

Answer:

  5

Step-by-step explanation:

The total cost per day is $20 +50 = $70. Then the number of days that expenditure can be made on a budget of $350 is ...

  $350/($70/day) = 5 days

Answer:

Step-by-step explanation:

let number of days =x

(20+50)x≤350

70 x≤350

x≤350/70

or x≤5

He can rent both at the most 5 days.

Answer:

90

Step-by-step explanation:

I took the test and 90 gives u the most variability in your outcome so ur answer is more reliable.

Answer:

the person above me is right its 90

Step-by-step explanation:

i did the unit test

Answer:

sinθ

Step-by-step explanation:

[tex]\sqrt{1-cos^{2}x }[/tex]

[tex]\sqrt{sin^{2}x }[/tex]

sinx

(replace x with theta)

Answer:

As many as he thinks is enough

Step-by-step explanation:

1. There is no specific wag to answer this it has no answer choices or any type of math hint of how many cherries he wants.

Answer

Your answer is C.

C. side CE

Answer:

C

Step-by-step explanation:

Answer:

Hey it’s C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

Graph B

Step-by-step explanation:

Linear functions are straight lines.

Linear functions are straight lines. Graph B has a straight line which means it is a linear function.

A function is defined as a relation between the set of inputs having exactly one output each.

Linear functions are straight lines.

In the given option Graph A has the curve graph which can't be a linear function.

Graph B has a straight line which means it is a linear function.

Graph C the lines are not straight so it can't be a linear function.

Similarly, in Graph D, it can't be a linear function.

Learn more about function here;

https://brainly.com/question/20106471

#SPJ2

Answer:

Both expressions have different base.

Step-by-step explanation:

Product rule can only be use for the similar bases. For example 2² × 2⁴ have the same base.

For this question, 3⁴ × 2⁸ have different bases which is 3 and 2.

Answer:

$12.50

Step-by-step explanation:

(2,30*4)+3.30

9.20+3.30=12.50

Answer:

  x = 0

Step-by-step explanation:

  2(x-3)+9=3(x+1)+x . . . . given equation

  2x -6 +9 = 3x +3 +x . . . . eliminate parentheses

  2x +3 = 4x +3 . . . . . . . . collect terms

  0 = 2x . . . . . . . . . . . . . . subtract (2x +3)

  x = 0 . . . . . . . . . . . . divide by 2

Answer:

[tex]x = 0[/tex]

Third answer is correct.

Step-by-step explanation:

[tex]2(x - 3) + 9 = 3(x + 1) + x \\ 2x - 6 + 9 = 3x + 3 + x \\ 2x - 3x - x = 6 - 9 + 3 \\ - 2x = 0 \\ \frac{ - 2x}{2} = \frac{0}{2} \\ x = 0[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

(A) (-6,-2)

Step-by-step explanation:

Answer:

(-6, -2)

Step-by-step explanation:

Answer: 5^6

Step-by-step explanation:

Since the expression has parenthesis, it means to multiply. When you multiply the powers, you get it in the form 5^n.

Answer:0.0256

Step-by-step explanation:

Given

Probability of being a male is [tex]P_1=0.466[/tex]

Probability of being born in america is [tex]P_2=0.153846[/tex]

Probabilty of being born in an urban location is [tex]P_3=0.3571428[/tex]

So probabilty of that a baby will be born a male,in North america, in an urban area=P

Since, [tex]P_1, P_2, P_3[/tex] are independent of each other therefore

[tex]P=P_1\times P_2\times P_3[/tex]

[tex]P=(0.466)\times (0.153846)\times (0.3571428)[/tex]

[tex]P=0.02560[/tex]

Answer: Porque no te merecen

Step-by-step explanation:

Answer:

I think it is e

Step-by-step explanation:

Hope this is correct and hope this helps

Answer:

Step-by-step explanation:

The urban planner collects travel times from a random sample of 125 commuters in the San Francisco Bay Area. A traffic Study from last year claimed that the average commute time in the San Francisco Bay Area is 45 min. The urban planner will see if there is evidence the average commute time is greater than 45 minutes

( Here in this case, Null hypothesis will be Η :μ = 45

And the Alternate Hypoyhesis will be   H, :μ> 45 )

C. The urban planner asks a random Sample of 100 commuters in the San Francisco Bay Area to record travel times on a Tuesday morning. One year later, the urban planner asks the same 100 commuters to record travel times on a tuesday morning . The urban planner will see the difference in commute time shows an increase.

Here in this case the null hypothesis will be, H₀ : [tex]\mu _d[/tex] = 0

And the Alternate Hypothesis will be   H, : [tex]\mu _d[/tex] <0 The commute time after 1 year is more

Answer:

Step-by-step explanation:

The required hypothesis test is that for a single population mean. It wouldn't involve population proportion or difference between two population means. The correct answer choice would be

A traffic study from last year claimed that the average commute time in the San Francisco Bay Area is 45 minutes. The urban planner will see if there is evidence the average commute time is greater than 45 minutes.

Answer:

x=0, y=4

(0,4)

Step-by-step explanation:

y=x+4

y=2x+4

The directions say substitution not subtraction

Set the two equations equal to each other

x+4 = 2x+4

Subtract x from each side

x+4-x = 2x+4-x

4 = x+4

Subtract 4 from each side

4-4 =x+4-4

0 =x

Now find y

y = x+4

y = 0+4

y = 4

Answer:

(0, 4)

Step-by-step explanation:

Our two equations are:

y = x + 4

y = 2x + 4

We need to use substitution, so let's substitute x + 4 in for y in the second equation:

y = 2x + 4

x + 4 = 2x + 4

x = 0

Plug this value back into one of the equations to solve for y:

y = x + 4

y = 0 + 4 = 4

Thus, the answer is (0, 4).

Answer:

Length of hypotenuse = √( a² + b²)

Step-by-step explanation:

The question is incomplete and unclear. From the question, it is clear we are to determine the hypotenuse of the triangle. Hence the triangle is a right angled triangle.

Find attached the diagram used in solving the question.

From the diagram,

a = opposite

b = adjacent

c = hypotenuse

To find the hypotenuse of a right angled triangle, we apply Pythagoras theorem.

Using Pythagoras theorem

Hypotenuse² = opposite ² + adjacent²

Insert the values of each, we have:

c² = a² + b²

Then we find the Square root both sides

c = √( a² + b²)

So we can insert the values of a and b if we are given.

For instance, if b = 6

c = √( a² + 6²)

Using the diagram,

Hypotenuse: c = √( a² + b²)

Answer:

Step-by-step explanation:

Answer:

8 < x < 34

Step-by-step explanation:

ab = 13, ac = 21, bc = x

The longest side of a triangle must be less than the sum of the other two sides.

If 21 is the longest side:

21 < 13 + x

8 < x

If x is the longest side:

x < 13 + 21

x < 34

Therefore, 8 < x < 34.

Answer:

-$20,000

Step-by-step explanation:

30% of $25,000 is $7,500 Therefore..

$7,500 x 6 = $45,000 ( 6 being the years )

$45,000 - $25,000 = $20,000

Hope this helps.

-Conrad