g(0)= 1-3/4(0) I’m very stuck

Answer:

7598.80

Step-by-step explanation:

V=πr^2h

= 3.14 * 11^2 * 20

= 2420π or 7598.80

Answer:

760

Step-by-step explanation:

V=πr²h

V = 3.14 x (11)² x 20

V = 7598.8

V = 760

By using addition, it can be calculated that

Trina, Juan and their father can do one boat ride.

What is addition?

Suppose there are many numbers and we need to find the sum total of all those numbers, then the operation used in this case is called addition.

This is a word problem on addition

Cost of adult admission = $7

Cost of child admission = $5

Cost of boat ride for adult  = $3

Cost of boat ride for child = $2

Total expense for adult = $(7 + 3) =$10

Total expense for child = $(5 + 2) =$7

Trina and Juan and their father have $33 to spend at the water park

Trina and Juan qualify for a child's admission

Total expense for one boat ride = $(7 + 7 + 10) = $24

Total expense for two boat rides = $(24 + 24) = $48

But they have $33 to spend

So Trina, Juan and their father can do one boat ride.

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Therefore, the solution to the system of equations is x = 8 and y = 23.

An equation is a statement that shows the equality between two mathematical expressions using symbols, numbers, and/or variables. Equations are used to describe relationships between different quantities, and they are commonly used in many fields, including mathematics, physics, chemistry, engineering, and economics.

by the question.

Let's solve the first equation for y:

y = 3x - 1

Now we substitute this expression for y in the second equation:

2x + 7 = y

We can substitute 3x - 1 for y in this equation:

2x + 7 = 3x - 1

Now we can solve for x:

2x - 3x = -1 - 7

-x = -8

x = 8

Now we can substitute x = 8 into either equation to solve for y. Let's use the first equation:

y = 3x - 1

y = 3(8) - 1

y = 24 - 1

y = 23

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Answer:

----------------

Number of male is the difference of total and female:

Percentage of male:

Answer:

33.33%

Step-by-step explanation:

First, let us find the number of male students.

Total students = Male students + Female students

Male students = Total students - Female students

Male students = 48 - 32

Male students = 16

Then, let us find the percentage of males.

\(\sf Percentage\:of\: males=\dfrac{No.\:of\:males}{Total\:number\:of\:students} *100\\\\\sf Percentage\:of\: males=\dfrac{16}{48} *100\\\\\sf Percentage\:of\: males=0.3333 *100\\\\\sf Percentage\:of\: males=33.33\)

Answer:

C. 20

Step-by-step explanation:

Use the Pythagorean theorem which is \(a^{2} +b^{2} =c^{2}\).

\(a^{2}\) and \(b^{2}\) are the sides of the triangle squared, AB and AC. \(c^{2}\) is the hypotenuse (the slanted side of the triangle) or BC.

So, \(12^{2} + 16^{2} =400^{2}\). Then you square root 400 to get your answer.

\(\sqrt{400}\) = 20.

20 is your answer.

Answer:

the answer to that is sometimes

Answer:

\(f=\frac{3+4d}{3+d}\)

Step-by-step explanation:

\(d= \frac{3(1-f)}{(f-4)} \\(f-4)d=3-3f\\f-4=\frac{3-3f}{d} \\f=\frac{3-3f+4d}{d} \\f+\frac{3f}{d} =\frac{3+4d}{d} \\fd+3f=3+4d\\f(d+3)=3+4d\\f=\frac{3+4d}{3+d}\)

Based on the game involving rolling a number cube, the applicable statements are:

There are six sides of a number cube which means that the sample space is all the sides the cube can land on which are 1,2,3,4,5, and 6.

Because there are 3 odd numbers which can give you a negative point, and 3 even numbers which can give a point, the expected value is 0 as these cancel each other out.

This makes the game fair because situations that have an expected value of 0 are considered fair because there are no expected losses or profits.

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Answer:

A,C,D

Step-by-step explanation:

short and simple for you ;)

Answer:

the number of social media advertisements that you purchased is 18

The number of newspaper advertisements that you purchased is 6

Step-by-step explanation:

Let x represent the number of social media advertisements that you purchased.

Let y represent the number of newspaper advertisements that you purchased.

You purchase three social media advertisements for every one newspaper advertisement. This means that y = x/3

x = 3y

You end up purchasing a total of 24 advertisements. This means that

x + y = 24 - - - - - - - - - 1

Substituting y = into equation 1, becomes

3y + y = 24

4y = 24

y = 24/4 = 6

x = 3y = 6×3 = 18

The equations are

x = 3y

x + y = 24

The time it will take both of them to pick enough apples is 7.27 minutes.

The time it will take both of them to pick enough apples is calculated as follows;

Let the time = t ( minutes )

3t  + (5/2)t = 40

3t + ( 5t / 2 ) = 40

multiply through by 2

6t + 5t = 80

11t = 80

divide through by 11

t = 80 / 11

t = 7.27 minutes

Thus, the time to pick enough apples depends on the rate at which they are picking the apples.

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Based on the cost of the property to Julie in 2007 and the various costs incurred since then, the amount of gain would be $166,350.

First find cost Julie has incurred in total:
= 236,500 + 5,250 + 25,000 - 4,100

= $262,650

The gain is therefore:

= Selling price - Total cost incurred

= 429,000 - 262,650

= $166,350

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According to the problem, a 1/3 cup of beans is equivalent to 4 servings. To know the number of cups of beans for 28 servings, we just have to use the rule of three.

The exponential equation is given by the function y = 30.5(0.7)ˣ

An equation is an expression that shows how numbers and variables are linked together using mathematical operations such as addition, subtraction, multiplication and division.

The standard form of an exponential equation is:

y = abˣ

where b is the rate of change and a is the initial value.

Let y represent the number of games sold x years since 2015.

From the graph, at point (0, 30.5):

30.5 = ab⁰

a = 30.5

Also, at point (1, 21.35):

21.35 = ab¹;     but a = 30.5, hence:

21.35 = 30.5b

b = 0.7

The equation is y = 30.5(0.7)ˣ

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I don't know the answer sorry

The negative sign indicates that the car is 80 km to the West of the starting point.

In mathematics, a coordinate is a numerical value that represents a particular point on a line, plane, or space. Coordinates are used to locate points and describe their position relative to a reference point or system. The number of coordinates required to specify a point depends on the dimensionality of the space. For example, a point in one-dimensional space (a line) requires one coordinate, a point in two-dimensional space (a plane) requires two coordinates, and a point in three-dimensional space (a space) requires three coordinates. The most common coordinate systems are Cartesian coordinates, which use a system of perpendicular lines to define a point's location, and polar coordinates, which use angles and distances from a fixed point to define a point's location.

Here,

To solve this problem, we need to use the concept of displacement. Displacement is the shortest distance between the starting point and the ending point of a journey. First, we need to find the total distance traveled by the car.

Distance traveled while heading East = 80 km/hour × 3 hours

= 240 km

Distance traveled while heading West = 80 km/hour × 4 hours

= 320 km

Total distance traveled = 240 km + 320 km

= 560 km

Now, we can find the displacement of the car. Since the car traveled in opposite directions, we need to subtract the distance traveled towards West from the distance traveled towards East.

Displacement = 240 km - 320 km

= -80 km

The negative sign indicates that the car is 80 km to the West of the starting point.

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Complete question:

A car leaves a place and heads East for 3 hours. Then, it heads straight West for 4 hours. The car maintained a speed of 80 km per hour throughout the trip. What is the position of the car in relation to the starting point?

Answer:

The answer is y=1/5x+26/5

Step-by-step explanation:

5-7/(-1)-9

-2/-10

=1/5

y-y=m(x-x¹)

y-5=1/5(x-(-1))

y-5=1/5x+1/5

+5 +5

y=1/5x+26/5

The correct option is option (a) $3,992.50. Pavi currently has a $3,992.50 credit on her current card.

The calculation of the provided data, according to the question, is as follows:

$8000 is the credit limit on the card.

Paid in Full = $2,500

$1,500 has been credited to the account.

The value of recent purchases made by Pavi is $3,000

Applied finance charges equal $7.50

The card's current balance is equal to $4,007.50.

Using the formula below, we can now determine the amount of credit that is now available on the card:

The credit line on the card = Available Credit - New Balance

By entering values into the formula provided, we obtain

Credit available on the current card: $8,000 - $4,007.50= $3,992.50.

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Answer:

y+1/2= 3(x - 2)

Step-by-step explanation:

The slope can be seen to be 3 by factoring out each of the right sides.  Only a and c have a slope of 3.  Next if the point (2,-1/2) is plugged into the equation of c then you get an answer of 0=0.  Beacuse both sides are equal when the point desired is plugged in it is the correct answer.

Answer: C

Step-by-step explanation:

I took the test

When a person's test performance can be compared with that of a representative and pretested sample of people, the test is said to be standardized.

Standardization refers to the process of establishing norms or standards for a test by administering it to a representative and pretested sample of individuals. This allows for a comparison of an individual's test performance to that of the larger group. When a test is standardized, it means that it has undergone rigorous development and validation procedures to ensure that it is fair, consistent, and reliable.

Standardized tests provide a benchmark for evaluating an individual's performance by comparing their scores to those of the norm group. The norm group consists of individuals who have already taken the test and represents the population for which the test is intended. By comparing an individual's scores to the norm group, it is possible to determine how their performance ranks relative to others.

Therefore, when a person's test performance can be compared with that of a representative and pretested sample of people, it indicates that the test is standardized. Standardization is an essential characteristic of reliable and valid tests, as it ensures consistency and allows for meaningful comparisons among test-takers.

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Answer:

y = 5x + 8

Step-by-step explanation:

Recall that if two lines are perpendicular, their slopes are negative reciprocals of one another.  Thus, given y = (-1/5)x + 9, the slope of any perpendicular is

           -1

m = --------- = 5

        (-1/5)

Starting out with the slope-intercept equation y = mx + b, we get:

-2 = 5(-2) + C, or C = 8

Thus, the desired equation is

y = 5x + 8

The equation of the line that is perpendicular to the given line is y=5x+8.

Given that, the equation of line y=(-1/5)x+9 and passes through the point (-2,-2).

The slope formula is used to calculate the inclination or steepness of a line. It finds application in determining the slope of any line by finding the ratio of the change in the y-axis to the change in the x-axis.

If m is the slope of a line, then the slope of a line perpendicular to it is -1/m.

Now, slope =-1/5

-1/m = 5

Put m=5 and the point (-2, -2) in y=mx+c and simplify

That is, -2=5(-2)+c

⇒c=8

Substitute m=5 and c=8 in y=mx+c, we get y=5x+8

Therefore, the equation of the line that is perpendicular to the given line is y=5x+8.

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Answer:

x + 1

Step-by-step explanation:

Step-by-step explanation:6x^3 + 6 = 6 ^ 3+ 1 = 6(x+1) (x^2 - x + 1)

The diameter of the basketball is increasing at a rate of 0.24 inches per second when the radius is 1 inch.

Let's denote the radius of the basketball as r and the volume of the basketball as V. The volume of a sphere can be calculated using the formula V = (4/3)π\(r^3\).

Given that the basketball is being filled with air at a rate of 6 \(in^3\)/sec, we can write dV/dt = 6. Since the basketball is a perfect sphere, the radius and the diameter are related by the equation D = 2r, where D is the diameter.

To find how fast the diameter is increasing, we need to find dD/dt. Since D = 2r, we have dD/dt = 2dr/dt.

We can find dr/dt by differentiating the volume formula with respect to time. Taking the derivative of both sides of V = (4/3)π\(r^3\), we get dV/dt = 4π\(r^2\)(dr/dt).

Substituting the given value of dV/dt and the known value of r (1 inch), we can solve for dr/dt.

6 = 4π\((1^2)\)(dr/dt)

6 = 4π(dr/dt)

dr/dt = 6/(4π)

Finally, substituting this value into dD/dt = 2dr/dt, we get dD/dt = 2(6/(4π)) = 3/(2π) ≈ 0.477 inches per second.

Therefore, when the radius is 1 inch, the diameter of the basketball is increasing at a rate of approximately 0.477 inches per second.

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Answer:

x = 6 or x = 0 or x = -8

Step-by-step explanation:

Solve for x over the real numbers:

2 x^3 - 4 x^2 - 96 x = -8 x^2

Add 8 x^2 to both sides:

2 x^3 + 4 x^2 - 96 x = 0

The left-hand side factors into a product with four terms:

2 x (x - 6) (x + 8) = 0

Divide both sides by 2:

x (x - 6) (x + 8) = 0

Split into three equations:

x - 6 = 0 or x = 0 or x + 8 = 0

Add 6 to both sides:

x = 6 or x = 0 or x + 8 = 0

Subtract 8 from both sides:

Answer: x = 6 or x = 0 or x = -8

Answer:

The answer is in the picture

The volume common to two spheres, each with radius r, if the distance between their centres is r/2 is V = (11/12)×π×r³.

The attached diagram shows 2 circumferences with radius r and separated centres by r/2.

Let´s call circumferences  1 and 2; by symmetry, rotating area A will produce a volume V₁ identical to a V₂, Obtained by rotating area B ( both around the x-axis), then the whole volume V will be:

V = 2× V₁

V₁ = ∫π×y²×dx         (1)

Now

( x - r/2)²  +  y² = r²       the equation of circumference 1

y² = r² - ( x - r/2)²

Plugging this value in equation (1)

V₁ = ∫π×[  r² - ( x - r/2)²]×dx        with integrations limits    0 ≤ x ≤ r/2

V₁ = π×∫ ( r² - x² + (r/2)² - r×x )×dx

V₁ = π× [  r²×x - x³/3 + (r/2)²×x - (1/2) × r × x²]    evaluate between 0 and r/2

V₁ = π× [(5/4)×r²×x - x³/3 - (1/2) × r × x²]

V₁ =  π× [(5/4)×r² × ( r/2 - 0 ) - (1/3)×(r/2)³ -  (1/2) × r × (r/2)²]

V₁ =  π× [ (5/8)×r³ - r³/24 - r³/8]

V₁ =  π× (11/24)×r³

Then

V = 2× V₁

V = 2×π×11/24)×r³

V = (11/12)×π×r³

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The graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

An equation is an expression that shows the relationship between two or more numbers and variables.

Given the polynomial function f(x) = -x² + 2x + 1 and an exponential function g(x) = 2ˣ

From the graph of f(x) = -x² + 2x + 1 and g(x) = 2ˣ, have the same y-intercept of (0, 1)

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Answer:

= 7

Step-by-step explanation:

3(x−4)+9=18

3 − 1 2 + 9 = 1 8

 3 − 3 = 1 8

3  = 1 8+3

3  = 21

x= 21/3

x=7

Answer:

The second choice (-6, -5 2/5, -4 1/5)

Step-by-step explanation:

1) Find the nth term by using the rule given. Foil them out.

A(n) = -6 + 1/5n - 1/5

A(n) = 1/5n - 31/5

2) Find the first term by substituting 1 into n.

a1 = 1/5(1) - 31/5

a1 = -6

3) Find the fourth term by substituting 4 into n.

a4 = 1/5(4) - 31/5

a4 = -27/5 or -5 2/5

4) Find the tenth term by substituting 10 into n.

a10 = 1/5(10) - 31/5

a10 = -21/5 or -4 1/5

Therefore, the second choice (-6, -5 2/5, -4 1/5) is correct.

we have that

total students does not have a dog=8

so

the probability is