Rita works at a gym where she gets paid $450 each week plus $15.50 for any new gym membership she sells. If y represents the total pay per week and x represents the number of new memberships sold, which of the following equations represents a higher rate per membership sold?

Answer:

Correct answer: y= 4 cos 2theta

Step-by-step explanation:

The Cosine Function

The general form of the cosine is

[tex]Y=A.cos(w\theta+B)[/tex]

where A is the amplitude, w is the angular frequency and B is the phase shift

The amplitude is the positive top value of the sinusoid or the most negative value. Since the sinusoid goes from -4 to 4, the amplitude is 4, thus

[tex]Y=4cos(w\theta+B)[/tex]

To find B and w, we use two points from the graph (0,4) and [tex](\pi/4,0)[/tex]:

[tex]4=4cos(w\times0+B)[/tex]

Simplifying

[tex]1=cosB[/tex]

Thus B=0

Now for the second point

[tex]0=4cos(w\times \pi/4)[/tex]

Or equivalently

[tex]\displaystyle \frac{\pi w}{4}=\frac{\pi}{2}[/tex]

Thus

w=2

Then, the cosine function is

[tex]Y=4cos2\theta[/tex]

Correct answer: y= 4 cos 2theta

Answer:

5/9

Step-by-step explanation:

Answer:

7 gallons of gas

Step-by-step explanation:

because the car can drive 53 miles on 1 gallon and your trying to find the amount of gallons needed for 371 miles you would divide 371 by 53 and you get 7.

Final answer:

To find out how many gallons of gas are used to drive 371 miles in a hybrid car with a fuel economy of 53 miles per gallon, divide 371 by 53, resulting in 7 gallons of gas needed.

Explanation:

To determine how many gallons of gas a hybrid car will use to drive a total of 371 city miles when the car can drive 53 miles on 1 gallon of gas, you can set up a simple division problem. The formula to calculate gallons used is:

Total miles driven ÷ Miles per gallon = Gallons of gas used

In this case, we divide 371 miles by 53 miles per gallon to find the total gallons of gas used:

371 miles ÷ 53 miles/gallon = 7 gallons

So, the hybrid car will use 7 gallons of gas to drive 371 city miles.

Yo sup??

SA of the composite figure=SA of all the faces

=2*20*5+6*20+(6*20-6*12)+2*6*5+2*12*4+6*12+2*4*6

=200+120+120+60+96+48

=644 cm^2

Hope this helps.

To find the selling price of the wallet after a 60% markup and a profit of $15, we need to calculate the original price of the wallet and add the profit to it. The original price of the wallet is $25 and the selling price is $40.

To find the selling price of the wallet, we need to first find the original price of the wallet before the markup. Let's call the original price 'x'. Given that the store makes a profit of $15 on a wallet after a markup of 60%, we can write the equation:

x + 0.6x = x + $15

Simplifying the equation, we get:

1.6x = x + $15

0.6x = $15

x = $15 / 0.6

So, the original price of the wallet is $25.

The selling price of the wallet is the original price plus the profit, which is $25 + $15 = $40.

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Answer:11/15

Step-by-step explanation:

Most common denominator is 15 multiply 2/5 by 3 and 1/3 by 5 and that’s what you get

Answer:

2300

Step-by-step explanation:

The answer is 2300: first we need to know what we need to round the answer up to, because we need to round it up to hundred, we need to look at the number in the unit below it. So because we need it to the nearest hundred we look at the number in the tens. If the number is 0-4 we round down, if the number is between 5-9 we round up, because the number is 4 we round 2342 down to 2300. When we round down the number stays the same, if we round up we increase the number by 1. So the answer is 2300.

Answer: $30

Step-by-step explanation:

The lamp was selling for $30 which is 25% less than what Cindy bought.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Cindy bought a new lamp for $40.00.

She later saw the lamp on sale for 25% less than what she had originally paid.

∴ The discounted price of the lamp is 75% of the price for which Cindy bought which is,

= (75/100)×40.

= $30.00

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Answer:

301.44 feet.

Step-by-step explanation:

Given: Distance between the girl and the center of the carousel is 8 feet.

            Girl stands in a carousel and rotates around the ride 6 times.

We know the radius if carousel is 8 feet.

Now, finding the circumference of carousel to find the area covered in one rotation of carousel.

Circumference= [tex]2\pi r[/tex]

⇒ Circumference= [tex]2\pi \times 8[/tex]

∴ Circumference= [tex]16\pi[/tex]

As given, carousel rotated 6 times.

Length covered in 6 rotation of carousel= [tex]6\times 16\pi[/tex]

⇒ Length covered in 6 rotation of carousel= [tex]96\pi[/tex]

Taking, π = 3.14

⇒ Length covered in 6 rotation of carousel= [tex]96\times 3.14[/tex]

∴Length covered in 6 rotation of carousel= [tex]301.44\ feet[/tex]

Hence, 301.44 feet travelled by little girl in a Carousel.

The little girl traveled approximately 301.62 feet.

To find the distance the little girl traveled on the carousel, we need to calculate the circumference of the circle and then multiply by the number of rotations.

The formula for the circumference of a circle is:

C = 2 × π × r

where r is the radius. Here, the radius r is 8 feet.

C = 2 × π × 8

C = 16π

So, the circumference is approximately 50.27 feet (since π ≈ 3.14).

Since the girl rotates around the carousel 6 times:

Total Distance = Number of Rotations × Circumference

Total Distance = 6 × 50.27

Total Distance ≈ 301.62 feet

Therefore, the little girl traveled approximately 301.62 feet.

Answer:

Step-by-step explanation:

1= 75

2=100

3=125

4=150

For every extra computer repair they have to pay an extra 25$

Answer:

           [tex]\large\boxed{\large\boxed{100}}[/tex]

Explanation:

This question comes with four answer choices:

You just need to find a rough estimate of the volume of the jar and the volume of one jelly bean. This is called magnitude order.

The jellybean jar is cylindrical, Thus, its volume is [tex]\pi \times radius^2\times height[/tex]

To find the order of magnitude, you just use the numbers rounded to one signficant figure: round π to 3, the radius to 5, cm, and the height to 10:

            [tex]Volume\approx 3cm\times (5cm)^2\times10cm=750cm^3\approx1,000cm^3[/tex]

The order of magnitude for the radius of a jellybean is 1 cm. And the order of magnitude of the volume of a sphere with a radius of 1 cm is the cube of the diameter (2cm):

             [tex](2cm)^3=8cm^3\approx10cm^3[/tex]

Hence, a reasonable lower limit for the number of jellybeans in the jar is:

                     [tex]1,000cm^3/10cm^3=100[/tex]

To find a reasonable lower limit for the number of jelly beans in a jar with a radius of 4.8 cm and height of 11.8 cm, you can calculate the volume of the jar to be approximately 272 cm^3. Assuming the volume of a jelly bean to be approximately 1 cm^3, you can estimate the jar might hold at least 272 jelly beans.

To calculate a reasonable lower limit for the number of jelly beans in the jar, a good starting point could be to calculate the volume of the jar and then consider the volume of a single jelly bean. Let's assume a jelly bean has an approximate volume of 1 cm^3 (though they can be bigger or smaller).

Given that the jar is cylindrical, we can calculate its volume using the formula for the volume of a cylinder: πr^2h, where r is the radius and h is the height. Here, radius = 4.8 cm and height = 11.8 cm.

Applying the values, we have: volume = π(4.8)^2 *11.8 = ~271.64 cm^3.

Dividing this volume by the volume of a single jelly bean gives us a rough estimate of the number of jelly beans that can fit in the jar. So, 271.64 cm^3 /1 cm^3 = 271.64, so roughly 272 jelly beans could be a reasonable lower limit, but you might be able to fit more depending on their actual size and how tightly they can pack together.

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Answer:

The points are plotted in the graph attached.

Step-by-step explanation:

The points are plotted in the graph attached.

Answer:

[tex]R=5N+7[/tex]

[tex]\displaystyle N=\frac{R-7}{5}[/tex]

Step-by-step explanation:

Equations

The relation between the number thought by Ann (N) and the final result (R) can be expressed as

[tex]R=5N+7[/tex]

So if for example, Ann thought in the number N=12, then  

[tex]R=5\times 12+7=67[/tex]

If we know the value of R, it's easy to find back the value of N by solving the equation

[tex]R=5N+7[/tex]

subtracting 7 on each side

[tex]R-7=5N[/tex]

Dividing by 5

[tex]\displaystyle N=\frac{R-7}{5}[/tex]

So, if Ann tells Jim that R = 52, he can guess her number is

[tex]\displaystyle N=\frac{52-7}{5}[/tex]

[tex]N=9[/tex]

The formula for r, the value Jim hears, for any given value of n (Ann's number) is: r = 5n + 7

This formula breaks down as follows:

5n: This represents Ann multiplying n by 5.

+ 7: This represents Ann adding 7 to the result of multiplying n by 5.

r: This represents the final value, which Jim hears.

Therefore, by plugging any value of n into this formula, you can calculate the value of r that Jim would hear.

To multiply fractions, you multiply numerator with numerator and denominator with denominator

In other words: a/b*c/d=(a*c)/(b*d)

So 1st one is (5*2)/(6*3) which is 10/18 or 5/9 simplified

2nd one is (9*5)/(10*18) which is 45/180 or 1/4 simplified

3rd one is (4*3)/(5*4) which is 12/20 or 3/5 simplified

4th one is (2*5)/(3*1) which is 10/3 or 3 1/3 if you want a mixed number

Hope this helped!

Answer:

Number one is 5/9

Number two is 1/4 that is the reduced fraction

Number three is 3/5 that is the reduced fraction

Number four is 3 and 1/3

Step-by-step explanation:

Answer:

8x and 5x are like terms and the constant is 2 because it is by itself.

Step-by-step explanation:

Hope my answer has helped you and if not I am sorry.

The distance in miles from the house to the library is 8 miles.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Time to the library from home is d/6 hours

The time spend to reach home from the library is d/12 hours

Hence, the equation is;

d/6 +d/12 = 2 hours

Solving the equation:

2d+d= 24

3d=24

d=24/3 =8

Hence, the distance from the home to the library is 8 miles.

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Answer:

x = 15

Step-by-step explanation:

Answer:

whats the statement

Step-by-step explanation:

Final answer:

The inverse statement is 'If you cannot vote, then you are not over 18,' but practical exceptions exist. The 26th Amendment ensures those over 18 have the right to vote, illustrating the importance of voting as a democratic right. Encouraging voter registration and participation among eligible citizens is crucial for maintaining a vibrant democracy.

Explanation:

The inverse of the statement 'If you are over 18 then you can vote' would logically be 'If you cannot vote, then you are not over 18'. However, this inversion doesn't always hold true in practice due to various voting laws and conditions, such as registration requirements and citizenship. The right to vote is a fundamental aspect of democracy, emphasized by constitutional amendments and various voting rights acts that seek to protect this privilege. For instance, the 26th Amendment to the U.S. Constitution, ratified on March 23, 1971, prohibits the denial of the right to vote for U.S. citizens eighteen years of age or older based on age.

To encourage political participation, it is vital for eligible citizens to register to vote and exercise their right. This act of voting allows individuals to have a say in how their government is run and who represents their interests. Discussions about lowering the voting age further, to include 16 and 17-year-olds, in local, state, or national elections have sparked debates about civic engagement and the readiness of younger citizens to participate in the electoral process.

To find the sum, add the numbers together. To find the difference, subtract the smaller numbers from the larger numbers.

To find the sum of 147, 167, 204, and 107, simply add the numbers together:

147 + 167 + 204 + 107 = 625

To find the difference, subtract the smaller numbers from the larger numbers:

204 - 147 = 57

167 - 107 = 60

Therefore, the sum is 625 and the differences are 57 and 60.

Answer:

[tex]\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}[/tex]

Step-by-step explanation:

We want to simplify:

[tex](6x-2)^2(0.5x)^4[/tex]

We expand to get:

[tex](36x^2-24x+4)*\frac{x^4}{16}[/tex]

We expand further to get:

[tex]\frac{9x^6}{4}-\frac{3x^5}{2}+\frac{x^4}{4}[/tex]

Answer:

Therefore she make 1.43 batches per hour.

Step-by-step explanation:

Given,  Molly can make 2.5 batches  in 1.75 hours.

Therefore she make [tex]=\frac{2.5}{1.75}[/tex]   batches=1.43 batches per hour.

To find the values of p that satisfy |18 - 2p| > 8, we solve two separate inequalities, leading to the solutions p < 5 and p > 13. Hence, among the options provided, -10, -5, and 15 are the correct solutions.

To solve the inequality |18 – 2p| > 8, we need to consider two cases because the absolute value measures distance from zero on a number line, either in the positive or negative direction.

First, we solve the inequality when the expression inside the absolute value is positive:

Next, we solve the inequality when the expression inside the absolute value is negative:

Combining the solutions from both cases, the values of p that satisfy the original inequality are p < 5 and p > 13. Among the given options, -10, -5, and 15 are the values that are solutions to the inequality.

Final answer:

The values of p that satisfy the inequality |18 - 2p| > 8 are p < 5 and p > 13; therefore, from the given options, -10 and -5 are the correct solutions.

Explanation:

The student needs to determine which values of p satisfy the inequality |18 – 2p| > 8. To solve this, we consider two separate cases because the absolute value function defines a piecewise function. The two cases are when the expression inside the absolute value is positive and when it is negative.

For the first case (18 - 2p > 0), we solve 18 - 2p > 8, which simplifies to -2p > -10, and upon dividing by -2 and flipping the inequality sign, we get p < 5. For the second case (18 - 2p < 0), we solve -(18 - 2p) > 8, which simplifies to -18 + 2p > 8, leading to 2p > 26, and upon dividing by 2, we get p > 13.

Therefore, the solution to the original inequality consists of all the values p < 5 and p > 13. Checking the provided options against these conditions, only -10 and -5 fall within p < 5, so they are the solutions to the inequality.

180 students voted for blue and 60 students voted for green

Solution:

Let "x" be the total number of votes

From given,

[tex]\frac{5}{8}[/tex] of the votes were for blue

[tex]Blue\ votes = \frac{5}{8}x[/tex]

Therefore,

[tex]Remaining = 1 - \frac{5}{8}x = \frac{8x-5x}{8} = \frac{3x}{8}[/tex]

Given that,

5/9  of the remaining students voted for green

So we get,

[tex]Green\ votes = \frac{3x}{8} \times \frac{5}{9} = \frac{5x}{24}[/tex]

[tex]Green\ votes = \frac{5x}{24}[/tex]

So we have now accounted for 5/8 (blue) + 5/24 (green) of the votes

Therefore,

[tex]Remaining = 1-(\frac{5x}{8} + \frac{5x}{24}) = 1 -(\frac{15x+5x}{24})= 1 -\frac{20x}{24} = \frac{24x-20x}{24}\\\\Remaining = \frac{4x}{24}\\\\Remaining = \frac{1x}{6}[/tex]

48 students voted for red

Therefore, remaining 1/6 votes for 48

Let "x" be the total number of votes

Then we can say,

1/6 of "x" is equal to 48

[tex]\frac{1}{6} \times x = 48\\\\x = 48 \times 6\\\\x = 288[/tex]

Number of votes for Blue:

[tex]Blue\ votes = \frac{5}{8} \times x = \frac{5}{8} \times 288\\\\Blue\ votes = 180[/tex]

Number of Green votes:

[tex]Green\ votes = \frac{5}{24} \times x = \frac{5}{24} \times 288\\\\Green\ votes = 60[/tex]

Thus 180 students voted for blue and 60 students voted for green

Answer:

(Options 2,2,3)

There are 6 observed toll fee values.

It costs $3.40 to travel 76 miles.

The predicted value for traveling 30 miles is $1.61.

Answer:

There are 6 observed toll fee values.

It costs $3.40 to travel 76 miles.

The predicted value for traveling 30 miles is $1.61.

Step-by-step explanation:

[tex]f(x)=3x^2 \\ \\ g(x)=x+2[/tex]

In this case we have the composition of two function called [tex]f(x)[/tex] and [tex]g(x)[/tex] that results in another function [tex]h(x)[/tex]. So:

[tex]h(x) =(f\circ g)(x)[/tex]

Another way to write this function is:

[tex]h(x)=f(g(x)) \\ \\ So \ g(x) \ becomes \ the \ domain \ of \ f[/tex]

One possibility for [tex]f(x)[/tex] and [tex]g(x)[/tex] is:

[tex]f(x)=3x^2 \\ \\ g(x)=x+2[/tex]

Because [tex]h(x)=f(g(x))[/tex] is:

[tex]h(x)=3(x+2)^2[/tex]

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Answer:

x>26

Step-by-step explanation:

Subtract 47 from 21.

Now that you have 26, that is the least amount needed because in the question it says "at least". (The inequality sign is suppose to be greater than or equal to)

Answer:
The answer is x>26

Step-by-step explanation:

to graph this inequality you would have to put an open circle on 26 and go right.

Answer:

63 ft²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (a + b)

where a and b are the parallel bases and h the perpendicular height

Here a = 7, b = 14 and h = 6, thus

A = [tex]\frac{1}{2}[/tex] × 6 × (7 + 14) = 3 × 21 = 63 ft²

Answer:

[tex]x(x-4)[/tex]

Step-by-step explanation:

Factor [tex]x[/tex] out of [tex]x^2[/tex]

[tex]x[/tex]·[tex]x[/tex] [tex]-4x[/tex]

Factor [tex]x[/tex] out of [tex]-4x[/tex]

[tex]x[/tex]·[tex]x[/tex]+[tex]x[/tex]·[tex]-4\\[/tex]

Factor [tex]x[/tex] out of [tex]x[/tex]·[tex]x[/tex]+[tex]x[/tex]·[tex]-4\\[/tex]

[tex]x(x-4)[/tex]

If you have any questions feel free to ask in the comments - Mark

Also when you have the chance please mark me brainliest.

Answer:

The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.

Step-by-step explanation:

1. Let's review the information provided to us to answer the question correctly:

Amount of fliers the volunteers gave for a political campaign = 21/38

Remaining 612 were given out in another neighborhood

2. What is the total number of fliers they gave out?

x = Total of fliers

21x/38 = Fliers given out in the first neighborhood

612 = Fliers given out in the second neighborhood

Let's solve for x, this way:

x - 21x/38 = 612

38x - 21x = 612 * 38 (38 is the Lowest Common Denominator)

17x = 23,256

x = 23,256/17

x = 1,368

The total number of fliers the volunteers gave out is 1,368: 756 in the first neighborhood and 612 in the second.

Note: Same answer to question 14676213, answered by me yesterday.

Answer:

V=512^2/3* 19683^1/3*256^1/4    = 6912

Step-by-step explanation:

V= [tex](512^{\frac{2}{3} } ) \times (19683^{\frac{1}{3} } )\times (256^{\frac{1}{4} } )\\[/tex]

As

[tex]2^{9} = 512\\2^{8} = 256\\19683^{\frac{1}{3} } = 27\\[/tex]

putting values in equation

V= [tex]2^{9(^{\frac{2}{3} } )} \times 27 \times 2^{8^({\frac{1}{4}) } } \\[/tex]  let it be equation 1

As

[tex]2^9^{\frac{2}{3} } = 2^6 according\,to\,exponential\,rule\\2^8^\frac{1}{4} = 2^2 according\,to\,exponential\,rule\\\\[/tex]

putting values in equation 1

[tex]V= 2^6\times 27\times 2^2[/tex]

According to exponential rule [tex]2^6 \times 2^2 = 2^8[/tex]

V=[tex]2^8 \times 27\\[/tex]

[tex]V=256\times 27\\V=6912[/tex]

So

V= 6912

Keywords: Algebra

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