What is the approximate circumference of the circle? Use 22/7 for pi. Round to the nearest hundredth.

A) 1.33 meters
B)4.09 meters
C) 5.31 meters
D) 8.17 meters

Answer:

height of the cone = 8 ft

Step-by-step explanation:

A cone has a volume of 96π ft³. The radius of the cone is 6 ft. The height of the cone can be computed below .

The volume of a cone can be represented as follows

volume of a cone = 1/3πr²h

where

r = radius

h = height

volume of a cone = 1/3πr²h

volume = 96π ft³

r = 6 ft

h = ?

96π = 1/3 × π × 6² × h

96π = 1/3 × π × 36 × h

96π = 12πh

divide both sides by 12π

h = 96π/12π

h = 8 ft

height of the cone = 8 ft

Answer:

In order, 10, 14, (7, 14), (10, 20)

Step-by-step explanation:

The slot for C - Number of Beads is 10

This is because the patern is that it is increasing by 3.

The slot for B - Length of Neclace (cm) is 14

This is because the patern is that it is X2 from the Number of Beads.

The slot for B - Ordered Pairs is (7, 14)

This is because its X value is the according Number of Beads and the Y value is the according Length of Necklace.

The slot for C - Ordered Pairs is (10, 20)

(See the explanation above)

Answer:

36 student gets the equal amount of Clay by Mrs p

Answer:

7

Step-by-step explanation:

n - 7

Let n = 14

14-7

7

Answer:

7

Step-by-step explanation:

n-7     n=14

14-7 (substitution)

7

Answer:

165m

Question:

Artur, Olga and Wiktor participated in the race. They started from the same place at the same time and run at constant speeds. When Artur finished the race, Olga was 15 m to the finish, and Wiktor was 35 m. When Olga finished the race, Wiktor had 22 m to the finish. At what distance was the race held?

Explanation:

Let distance be x meters

Fist statement:

Artur distance = x

Olga =x-15

Wiktor = x-35

Since they are going at constant speed, time is constant for all 3.

Their speed = distance/time

x/t, (x-15)/t, (x-35)/t respectively

Second statement:

Olga distance = x

Wiktor distance = x-22

Their Time is constant:

If it takes (x-15) in t secs,

for x meters will take = xt/(x-15)

Olga and wiktor respectively: xt/(x-15), xt/(x-15) respectively

Their speed:

Speed = distance/time

Olga = (x-15)/t,

Wiktor = (x-22)(x-15)/(xt)

Since speed is constant

Speed for Wiktor in both cases:

(x-35)/t =(x-22)(x-15)/(xt)

x(x-35) =(x-22)(x-15)

x² -35x = x² - 15x -22x +330

-35x = -37x +330

2x = 330

x = 165m

Race held at 165m distance.

Answer:

complementary angles

Step-by-step explanation:

The sum of the angles is 67+23 = 90

When angles sum together to 90, the are called complementary

Answer:

Option A

Step-by-step explanation:

The measures of the two angles have a sum of 90°.

[tex]67+23=90[/tex]

Therefore, they are complementary angles, since complementary angles have a total measure of 90°.

Option A is the best answer.

Brainilest Appreciated.

Answer:

-3

Step-by-step explanation:

Answer:

$2500 is the total cost.

Step-by-step explanation:

Area of rhombus = 40(25)/2=1000/2=500

500*5=2500

Therefore, $2500 is the total cost.

I hope this helped and have a good rest of your day!

Answer:

5 / 37

Step-by-step explanation:

Solution:-

- An archer stall game was played to receive a prize to pierce an arrow through a polka dot balloon.

- There are three types of balloons clustered together. The distribution of each balloon is given as such:

                 Type                        Number

                 Solid                             15

                 Striped                          17

                 Polka Dot                      5

- The probability of an arrow piercing through a polka dot balloon can be determined from the basic definition of probability of an event.

- Define event ( A ) : The number of Polka dots balloon popped

- Then, the probability of event ( A ) would be defined as:

    p ( A ) =  [ Number of polka dots balloons available ] / [ Total balloons ]

- We have 5 polka dots balloons among the cluster. The cluster comprises of balloons of all types with their specific distribution as expressed above. Hence:

                  p ( A ) = [ 5 ] / [ 15 + 17 + 5 ]

                  p ( A ) = [ 5 ] / [ 37 ]

- The probabbility that an arrow pops a polka dot balloon is 5 / 37.

Note: If we are given more than 1 arrow or multiple tries, then we must remember that the probability of event ( A ) changes after every popped balloon ( irrespective of type ). Hence, the probability of popping polka dot balloon is dependent event over number of trials. Except if you miss an arrow and none of the balloons is popped, only then the p ( A ) remains same for the next trial.

Answer:

A

Step-by-step explanation:

So the right answer is 2.

look at the attached picture

Hope it will help you

Good luck on your assignment

Answer:

6

Step-by-step explanation:

Answer:

11.75

Step-by-step explanation:

the angles of a triangle should add to 180

5x + 3x - 4 +90 = 180

now solve for x

8x = 94

94/8 = 11.75

Answer:

$6,900

Step-by-step explanation:

To calculate the potential amount of credit available on the home equity loan, first you have to calculate 75% of the appraised value:

$127,000*75%= $95,250

Then, as Evelynn has an existing mortgage, you have to subtract this amount from $95,250:

$95,250-$88,350= $6,900

According to this, the answer is that the potential amount of credit available on a home equity loan is $6,900.

Answer:

B

Step-by-step explanation:

A)  The function in factored form is -5(x - 1)² and the vertex is (1, 0).

B)  The zeroes are x = 1, the axis of Symmetry is x = 1 and the direction of the opening is downward.

C)  The domain of the function is all real numbers and the range is

(-∞, 0].

We have,

A)

Factoring out the common factor (-5):

f(x) = -5(x² - 2x + 1)

The equation x² - 2x + 1 can be factored as (x - 1)(x - 1) or simply (x - 1)²:

f(x) = -5(x - 1)²

The equation of a quadratic function:

f(x) = a(x - h)² + k

In this case,

a = -5, h = 1, and k = 0 (since there is no constant term).

So, the vertex of the function is (h, k) = (1, 0).

B)

To find the zeros of the function, we set f(x) = 0 and solve for x:

-5(x - 1)² = 0

(x - 1)² = 0

Taking the square root of both sides:

x - 1 = 0

x = 1

The axis of symmetry is a vertical line that passes through the vertex of the parabola.

In this case, the axis of symmetry is x = 1.

The direction of the Opening:

Since the coefficient of the x² term is negative (-5), the parabola opens downward.

C)

The domain of the function f(x) is all real numbers since there are no restrictions or limitations on the possible input values of x.

The parabola opens downward and the vertex is at (1, 0), the range of the function is all real numbers less than or equal to 0.

The range can be expressed as (-∞, 0].

Thus,

A) The function in factored form: -5(x - 1)², Vertex: (1, 0).

B) Zeros: x = 1, Axis of Symmetry: x = 1, Direction of Opening: Downward.

C) Domain: All real numbers, Range: (-∞, 0].

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ4

Answer:

The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].

So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]

Now, find the margin of error E as such

[tex]E = z*\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

In this question:

[tex]\sigma = 8, n = 110[/tex]. So

[tex]E = 1.96\frac{8}{\sqrt{110}} = 1.495[/tex]

The margin of error corresponding to a 95% confidence interval for the true mean cholesterol content, μ, of all such eggs is of 1.495 miligrams.

Answer:

[tex]-3x^2+29x-150+\frac{946x^2-341x-756}{x^3+6x^2-3x-5}[/tex]

Step-by-step explanation:

See attachment.

Answer:

32, 40, 48, 56

Step-by-step explanation:

[tex]a_n= 8(n+3)...(given) \\\\ a_1= 8(1+3) = 8 \times 4 = 32 \\ \\ \: a_2= 8(2+3) = 8 \times 5 = 40 \\ \\ a_3= 8(3+3) = 8 \times 6 = 48 \\ \\ a_4= 8(4+3) = 8 \times 7 = 56 \\ [/tex]

Answer: 25%

Step-by-step explanation:

You have a 1/2 chance of landing a heads or tails both times. So, you multiply 1/2 *1/2 = 1/4. 1/4 = 0.25 = 25%.

Answer:

=7

Step-by-step explanation:

use Pythagorean.

7,24 ,25

Answer:

x=7

Step-by-step explanation:

we use physagorian law

b²+x²=a²

x²=a²-b²

25²-24²=x²

x²=49

x=7

Answer:

Step-by-step explanation:

24 is a composite number.

Prime factorization: 24 = 2 x 2 x 2 x 3, which can be written 24 = 2³ x 3

The exponents in the prime factorization are 3 and 1. Adding one to each and multiplying we get (3 + 1)(1 + 1) = 4 x 2 = 8. Therefore 24 has exactly 8 factors.

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

Factor pairs: 24 = 1 x 24, 2 x 12, 3 x 8, or 4 x 6

Answer:

2.2

Step-by-step explanation:

4% of 54.99 = 0.04*54.99

The question is incomplete:

The Webster family is planning a barbecue for one hundred people. The Webster family needs one plastic plate for each person at the barbecue. The Stop and Shop store and Market Place Store both sell plastic plates in packages of fifteen for five dollars and ninety-nine cents per package. How many packages of plastic plates does the Webster family need to buy? What is the cost of plates for the barbecue?

Answer:

-The Webster family needs to buy 7 packages.

-The cost of the plates is $41.93.

Step-by-step explanation:

To calculate amount of packages that the Webster family need to buy, you have to divide the amount of people by the number of plates in each package:

100/15= 6.66

According to this, as they will need more than 6 packages, the Webster family needs to buy 7 packages to have one plastic plate for each person at the barbecue.

Then, the cost of the plates for the barbecue would be calculated by multiplying the price of each package for the number of packages needed:

$5.99*7= $41.93

The cost of the plates is $41.93.

Answer:

Javier's parents set aside $1500 when he was born

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 is the interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

In this question, we have that:

[tex]E = 1012.50, t = 15, I = 0.045[/tex]

We have to find P. So

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

[tex]1012.50 = P*15*0.045[/tex]

[tex]P = \frac{1012.50}{15*0.045}[/tex]

[tex]P = 1500[/tex]

Javier's parents set aside $1500 when he was born

Answer:

Step-by-step explanation:

Let x represent the cost of the video game before tax.

A customer buys a CD for $15 and a video game. The expression for the total cost of both items before tax is

15 + x

The customer pays a total of $42.80 for the two items. This includes 7% sales tax. The amount of tax paid by the customer for both items would be

7/100 × 42.8 = $2.996

The amount paid for the items before tax would be

42.8 - 2.996 = 39.804

Therefore, the equation that can be used to find x, the cost of the video game before tax is

15 + x = 39.804

Answer:

B

Step-by-step explanation:

:

-by-step explanation:

Answer: $2,466.45

Step-by-step explanation:

Hi, to answer this question we have to apply the compounded interest formula:

A = P (1 + r/n) nt

Where:  

A = Future value of investment (principal + interest)  

P = Principal Amount  

r =  Nominal Interest Rate (decimal form, 3.5/100= 0.035)

n=   number of compounding periods in each year (365)

Replacing with the values given

3,500= P (1+ 0.035/365)^365(10)

Solving for P

3,500= P (1.00009589)^3650

3,500/  (1.00009589)^3650 =P

P = $2,466.45

Answer:

They are all even

Step-by-step explanation:

Answer:

this explanation is false

Answer:

The correct answer is: B. The initial values of the two functions are different, and the rates of change of the two functions are the same

Step-by-step explanation: Trust me

Answer: : B. The initial values of the two functions are different, and the rates of change of the two functions are the same

Step-by-step explanation: on edgenuidy