A county fair charges an entry fee of $7 and $0.75 for each ride token. You have $15.

Write an expression that represents the amount (in dollars) you have left after entering the fair and purchasing n tokens.

Answer:

the degree of -3x^3 is 3

Step-by-step explanation:

the exponent is 3

Answer:

50/100×30

15..........

Answer:

x² + 10x + 25

Step-by-step explanation:

To expand two quantities, we need to distribute each value in each quantity.

For example:

Start with multiplying the x in the first quantity with the x in the other quantity.

(x+5)(x+5) = x²...

Then multiply the x in the first quantity with the 5 in the other quantity.

(x+5)(x+5) = x² + 5x...

Repeat with the 5 in the first quantity.

(x+5)(x+5) = x² + 5x + 5x +25

Combine like-terms to simplify.

x² + 10x + 25

Answer:

x^2+10x+25 or (x+5)^2

Step-by-step explanation:

(x+5)(x+5)

Multiply x+5 and x+5 to get (x+5)^2 .

(x+5)^2

Use binomial theorem (a+b)^2 =a^2 +2ab+b^2  to expand (x+5)^2 .

x^2+10x+25

The arrow is at a height of 48 ft after approx. 3 - √6 s and after 3 + √6 s.

To find the time it takes for the arrow to reach a height of 48 ft, we can use the formula for the height of the arrow:

s = v0t - 16t^2

Here, s represents the height of the arrow, v0 is the initial velocity, and t is the time.

Given that the initial velocity, v0, is 96 ft/s and the height, s, is 48 ft, we can set up the equation:

48 = 96t - 16t^2

Now, let's solve this equation to find the time it takes for the arrow to reach a height of 48 ft.

Rearranging the equation:

16t^2 - 96t + 48 = 0

Dividing the equation by 16 to simplify:

t^2 - 6*t + 3 = 0

We now have a quadratic equation in the form of at^2 + bt + c = 0, where a = 1, b = -6, and c = 3.

Using the quadratic formula:

t = (-b ± √(b^2 - 4ac)) / (2a)

Plugging in the values:

t = (6 ± √((-6)^2 - 413)) / (2*1)

t = (6 ± √(36 - 12)) / 2

t = (6 ± √24) / 2

Simplifying the square root:

t = (6 ± 2√6) / 2

t = 3 ± √6

Therefore, the arrow reaches a height of 48 ft after approximately 3 + √6 seconds and 3 - √6 seconds.

In summary, the arrow takes approximately 3 + √6 seconds and 3 - √6 seconds to reach a height of 48 ft, assuming an initial velocity of 96 ft/s.

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Note the complete question is

The height of an arrow shot upward can be given by the formula s = v0*t - 16*t², where v0 is the initial velocity and t is time.How long does it take for the arrow to reach a height of 48 ft if it has an initial velocity of 96 ft/s?  

Solve (t-3)^2=6

The arrow is at a height of 48 ft after approx. ___ s and after ___ s.

Step-by-step explanation:

To work out the height of the cuboid, we need to use the formula:

Volume = Length x Width x Height

We have been given the volume and the length, so we can substitute those values into the formula:

540 = 6 x Width x Height

Now we need to convert the width from millimeters to centimeters, so we divide it by 10:

150mm ÷ 10 = 15cm

Substituting this value into the formula:

540 = 6 x 15 x Height

Simplifying:

540 = 90 x Height

Dividing both sides by 90:

6 = Height

Therefore, the height of the cuboid is 6cm.

Answer:

1. 5/2   2. 8    3. 4    4.no  5. yes

Step-by-step explanation:

Answer:

that one before -1

Step-by-step explanation:

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

Step-by-step explanation:

If nitrogen is warmer than -320 degrees farenheit it will be gas .write an inequality that is true only for temperatures (t) at which nitrogen is a gas.

✓ t>-320=gas if I'm thinking about it correctly

The volume of the largest right circular cylinder is \(=\frac{4\pi r^3}{3\sqrt{3} }\) cu. unit

Now, According to the question:

The given sphere is of radius R.

Let h be the height and r be the radius of the cylinder inscribed in the sphere.

We know that:

Volume of cylinder

V = \(\pi R^2h\)    .....(1)

In right Triangle OBA

\(AB^2 + OB^2 = OA^2\)

\(R^2 + \frac{h^2}{4} = r^2\)

So, \(R^2 = r^2 - \frac{h^2}{4}\)

Putting the value of \(R^2\) in equation (1), We get

V = \(\pi (r^2 - \frac{h^2}{4} )h\)

V = \(\pi (r^2h - \frac{h^3}{4} )\)   ....(2)

dV/dh = \(\pi (r^2 - \frac{3h^2}{4} )\) .....(3)

For, Stationary point, dV/dh = 0

\(\pi (r^2 - \frac{3h^2}{4} )\) = 0

\((r^2 - \frac{3h}{4} )\)   => \(h^2 - \frac{4r^2}{3}\) => \(h - \frac{2r}{\sqrt{3} }\)

Now, \(\frac{d^2V}{dh^2} = \pi (-\frac{6}{4}h )\)

\([\frac{d^2V}{dh^2}]_a_t_h_=_\frac{2r}{\sqrt{3} }\)   = x[-3/2 , \(2r/\sqrt{3}\)]< 0

Volume is maximum at h = 2r/\(\sqrt{3}\)

Maximum volume is :

\(= \pi (r^2.\frac{2r}{\sqrt{3} }- \frac{1}{4}.\frac{8r^3}{3\sqrt{3} } )\)

\(=\pi (\frac{2r^3}{\sqrt{3} }-\frac{2r^3}{3\sqrt{3} } )\)

\(=\pi (\frac{6r^3-2r^3}{3\sqrt{3} } )\)

\(=\frac{4\pi r^3}{3\sqrt{3} }\) cu. unit

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Answer: As a fraction: 1/2

              As a decimal: 0.005

Step-by-step explanation:

FRACTION:

To figure out how to write 0.5% as a fraction, all you need to know is that 0.5 = to a half, or 1/2 because 0.5 is half of 1.

DECIMAL:

0.5% as a decimal form is 0.005 because it is 1000 times less than 1, so you move the 0 3 times right.

Answer:

10

Step-by-step explanation:

subtract 14 from 24 or 24 from 14

Step-by-step explanation:

π ∫₀¹ x² dx

This integral is obtained using disk method.  Each disk has a volume of V = πr²t, so the radius is r = x.

The region is 0 ≤ y ≤ x, 0 ≤ x ≤ 1.

Revolved around the x-axis, the resulting shape is a cone.

If the shape were a paraboloid, the integral would have been:

π ∫₀¹ (x²)² dx

π ∫₀¹ x⁴ dx

If each of X, Y, and N are positive integers, then the value of X+Y+N is 212.1

A collection of inequalities for which we consider common solution for all inequalities is called a system of inequalities.

WE are given that A red purse contains $7, and a black purse contains $10. Each package contains X red purses and Y black purses.

X = 7

Y = 10

If there are N packages (N ≥ 2) and the total value of them is $2021

X + Y = One packages

N packages = N(X + Y ) = 10 N

if each of X, Y, and N are positive integers, then;

10 N = 2021

N = 2021/10

N = 202.1

Therefore, X+Y+N = 10 + 202.1 = 212.1

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Answer:

14

Step-by-step explanation:

x+y=18

x is the larger number

4y-2=x

(4y-2)+y=18

5y-2=18

y=4

18-4=14

the larger number is 14

Answer:

Step-by-step explanation:

Question A:

Step 1. The product of 7 and d is = 7d.

Step 2. Then the next part is separated by a comma.

Step 3. This leads to the influence of the idea that 7d is subtracted by 16.

Step 4. This concludes that the answer is 7d - 16.

Question B:

Step 1: The product of 7 concludes that 7 is alone.

Step 2: The separation of and shows that the part after and is together.

Step 3: If it is together, we can conclude it goes in parentheses.

Step 4: If it is in parentheses, it means the number 7 is being distributed.

Step 5: This concludes the answer is 7(d - 16).

Hope this helped,

Kavitha

Answer:

c

Step-by-step explanation:

because if you solve the problem it is equal to c

If f(x) is a density function, then its integral over the entire real line should be 1:

\(\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2(1-0.5x)\,\mathrm dx=(x-0.25x^2)\bigg|_0^2=2-1=1\)

so yes, f(x) is indeed a density function.

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

b=–2

Step-by-step explanation:

we've got:

(3+bx)⁵===> b⁵x⁵+15b⁴x⁴+90b³x³+720b²x²+405bx+243

and we've also got the coefficient of x³ as –720

90b³=–720===> b³=–8===> b=–2

the equation to find the discount for oranges is: \(r = 3.89 + 2.49\)  \(r= 6.38\)

The discount for apples is $ \(2.89\) + $ \(1.49\), since you can get another bag for $1.49 when you buy a 5-pound bag of apples at the regular price.

So the equation to find the discount for apples is:

\(a = 2.89 + 1.49\)

\(a = 4.38\)

Similarly, the discount for oranges is $ \(3.89\) + $ \(2.49\), since you can get another bag for $2.49 when you buy a 5-pound bag of oranges at the regular price.

Therefore, the equation to find the discount for oranges is: \(r = 3.89 + 2.49\)

\(r = 6.38\)

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Answer:

a. 6276

b. 5590

c. 23128

d. 17325

e. 15090

f. 40419

g. 10496

h. 15000

i. 15648

99% sure

The probability the card drawn is a face card is 3/13. The probability the card drawn is not a face card is 10/13. The odds in favor of drawing a face card is 3/10. The odds against drawing a face card are 10/3.

There are 52 cards in a standard deck, and 12 of them are face cards (jack, queen, and king). Therefore, the probability of drawing a face card is 12/52, or 3/13.

The probability of not drawing a face card is 1 minus the probability of drawing a face card. Since the probability of drawing a face card is 3/13, the probability of not drawing a face card is 1 - 3/13, which is 10/13.

The odds in favor of drawing a face card are 3:10, or 3/10. The odds against drawing a face card are 10:3, or 10/3.

In summary:

The probability the  card drawn is a face card: 3/13

The probability the card drawn is not a face card: 10/13

Odds in favor of drawing a face card: 3/10

Odds against drawing a face card: 10/3

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Answer:

It called c. Heptagon

Step-by-step explanation:

Answer:

it’s c :)

Step-by-step explanation:

because there no other Correct answers

The values accurate to two decimal places for -2  standard deviation, mean, and +2  standard deviation are 0.30, 0.40, and 0.49, respectively.

We can use the following formulas to calculate the mean and standard deviation of the sampling distribution:

Mean: μ = p = 0.40 (since the population proportion is 0.40)

Standard deviation: σ = √((p(1-p))/n)

σ = √((0.40(1-0.40))/165)

σ = 0.049

Now we can calculate the values for -2SD, mean, and +2SD as follows:

-2SD: μ - 2σ = 0.40 - 2(0.049) = 0.30

Mean: μ = 0.40

+2SD: μ + 2σ = 0.40 + 2(0.049) = 0.49

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Answer: (4, 3)

Step-by-step explanation:

To solve the system of equations using elimination, we can manipulate the equations to eliminate one variable and solve for the other.

Let's start with the given system of equations:

Equation 1: 4x + 4y = 28

Equation 2: 3x + y = 15

To eliminate the y variable, we can multiply Equation 2 by 4 to make the coefficients of y in both equations the same:

4 * (3x + y) = 4 * 15

12x + 4y = 60

Now we have two equations with the same coefficient for y:

Equation 1: 4x + 4y = 28

Equation 3: 12x + 4y = 60

We can subtract Equation 1 from Equation 3 to eliminate the y variable:

Equation 3 - Equation 1:

(12x + 4y) - (4x + 4y) = 60 - 28

12x - 4x = 32

8x = 32

x = 4

Now that we have the value of x, we can substitute it back into one of the original equations to solve for y. Let's use Equation 2:

3x + y = 15

3(4) + y = 15

12 + y = 15

y = 15 - 12

y = 3

Therefore, the solution to the system of equations is x = 4 and y = 3. So the answer is (4, 3).

Answer:

(4, 3)

Step-by-step explanation:

i got it right on my quiz

There are 152 red pens and 190 blue pens in Max's drawer, given that there are a total of 342 pens altogether.

Let's solve the problem step by step:

Identify the given information:

The ratio of red pens to blue pens is 4 to 5.

There are a total of 342 pens in the drawer.

Set up the ratio equation:

Let's assume the number of red pens is 4x, and the number of blue pens is 5x.

Here, 'x' is a scaling factor that allows us to find the actual number of pens.

We can write the equation as: 4x + 5x = 342.

Simplify and solve the equation:

Combining like terms, we have 9x = 342.

Divide both sides of the equation by 9 to solve for 'x':

x = 342 / 9 = 38.

Calculate the number of red pens and blue pens:

Now that we have the value of 'x', we can find the number of red and blue pens:

Number of red pens: 4x = 4 × 38 = 152.

Number of blue pens: 5x = 5 × 38 = 190.

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Answer:

Its b i bealive

Step-by-step explanation:

The midpoint of the line segment with the endpoints is (4, 1)

The endpoints are given as:

E= (-2,8) and F = (10, -6)

The midpoint of the line segment with the endpoints is calculated as

Midpoint = 0.5 * (x1 + x2, y1 + y2)

So, we have:

Midpoint = 0.5 * (-2 + 10, 8- 6)

Evaluate the sum

So, we have:

Midpoint = 0.5 * (8, 2)

Evaluate the products

So, we have:

Midpoint = (4, 1)

Hence, the midpoint of the line segment with the endpoints is (4, 1)

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