Which equation represents the line that has a slope of 4 and passes through the points (2,7)

Answer:

D 18 percent

Step-by-step explanation:

So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred

the equation should be 18 is what percent of 100 which is the same thing as 18/100

18 divided by 100 is .18

Answer:

Answer is in bold form

Step-by-step explanation:

Given

radius = 3feet

Height = 6feet

Volume of the cylinder = πr²h

Volume of the cylinder = 3.14 * 3² * 6

Volume of the cylinder = 169.56ft³

volume of the cone = Volume of cylinder/3

volume of the cone = 169.56/3

volume of the cone = 56.52ft³

Volume of the sphere = 4/3πr³

Volume of the sphere = 4/3*3.14*(3)³

Volume of the sphere = 4 * 3.14* 9

Volume of the sphere = 113.04ft³

Answer:228m

Step-by-step explanation: 19m x 12m = 228m

Answer: 228m

Step-by-step explanation: Just multiply 19m by 12m. That's how you find area.

The number of students who will be going on the trip is B. 40 students.

A mathematical expression is a rule-based set of numbers, variables, and mathematical operations performed to compute the output value.

The mathematical operations used to solve mathematical expressions include additions, subtractions, divisions, and multiplications.

The total of the weekend trip = $4,030

The cost of cleaning for the bus = $30

The cost of food and lodging per student = $60

The bus charge per student = $40

Total cost per student = $100 ($60 + $40)

The total cost, y = 4,030 - 30 - 100x

The number of students = x

x= (4,030 - 30)/100

= (4,000/100)

= 40.

Thus, the number of students who will be going on the trip is B. 40 students.

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Using Green's theorem the line integral H C(4x2 y3)dx+ ( x3 + y2)dy is 70.6858.

Step: 1

Given

\(\int\limi {4x2 - y3} \, dx + (x3+y2) dy\)

Formula for Greens theorem

δQ/δx = 3x2

Explanation:

partial derivative w.r.t x i . e y is constant

partial derivative w.r.t y i. e x is constant

power rule of derivative is

d/dx Xn = nXⁿ⁻¹

Step: 2

\(\int\limits\int\li {dQ/dy + dP/dx dA} \, dx = \int \int {3(x2+y2)} \, dx\)

Explanation:

in polar coordinates x2 + y2 = r2 and dA = radθ

Step: 3

given

C1 = r1 = 2

C2 = r2 = 1

the limits for r is 1 ≤ r ≤ 2

since it is a circle the limits for θ

0 ≤ θ ≤ 2π

Explanation: Please refer to solution,

now integrate w.rt θ

= 45/4[θ] 2π

= 45/4[2π - 0]

= 45/4(2π)

= 45/2(π)

= 45π/2 ≈ 70.6858.

by greens theorem,

\(\int 4x2 y3)dx+ ( x3 + y2)dy \, dx\) is 70.6858.

Green’s theorem is substantially used for the integration of the line combined with a twisted aeroplane . This theorem shows the relationship between a line integral and a face integral. It's related to numerous theorems similar as Gauss theorem, Stokes theorem.

Green’s theorem is used to integrate the derivations in a particular plane. However, it's converted into a face integral or the double integral or vice versa using this theorem, If a line integral is given.

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v₂ = 55mph

Hi there !

Velocity formula

v = distance/time = d/t => d = vₓt

v₁ = v₂ - 11

t₁ = 10h

t₂ = 8h

d = v₁ₓt₁ = (v₂ - 11)t₁

d = v₂t₂

(v₂ - 11)t₁ = v₂t₂

replace t₁ ; t₂

(v₂ - 11)10 = v₂8

10v₂ - 11ₓ10 = 8v₂

10v₂ - 8v₂ = 110

2v₂ = 110

v₂ = 55 mph

Good luck !

Answer:

180.9375

rounded 181

Step-by-step explanation:

firts we multiply by 4 the parentesis

4p+1.25=725

1.25 goes from adding to substracting

4p=725-1.25

then 4 goes to divide

p=723.75/4

so it will be 180.9375

rounded 181

Answer: x = -2.

X is negative 2.

Solving an equation with variables on both sides:

1. expand to get rid of the parenthesis

\(4x+5x-2=-16+2x\)

2. combine like terms

\(9x-2=-16+2x\)

3.  use inverse operations to get variable terms on one side and the integer term on the other side

\(9x-2x-2+2=-16+2x-2x+2\)

4. combine like terms

\(7x=-14\)

5. isolate for x

\(x=\frac{-14}{7}\)

x= \(x=-2\)

answer:

a. 7/8

b.9

c.9

explanation:

Mean: also known as the average is a measure of central tendency in a dataset. It is calculated by summing up all the values in the dataset and dividing the sum by the total number of values.

Standard deviation: The standard deviation is a measure of the dispersion of data around the mean in a dataset.t quantifies the average amount by which each data point in the dataset varies from the mean. A higher standard deviation indicates greater variability or dispersion of the data points, while a lower standard deviation suggests that the data points are closer to the mean. The standard deviation is typically represented by the symbol σ (sigma).

Z-Score: The z-score (also known as the standard score) is a statistical measurement that indicates how many standard deviations an individual data point is from the mean of a distribution. It allows you to compare and understand the relative position of a particular data point within a dataset.

The formula to calculate it is:  Z = (x - μ) / σ where:

Z = Z-score

x = data point

μ = mean

σ =  standard deviation

To calculate the z-score for Luis's exam grade, we can use the formula:

z = (x - μ) / σ

Where:

x = Luis's exam grade (84)

μ = Mean (81)

σ = Standard deviation (2.5)

Substituting the given values into the formula, we have:

z = (84 - 81) / 2.5

z = 3 / 2.5

z = 1.20

Rounding to two decimal places, the z-score for Luis's exam grade is 1.20.

The solution for the given system of inequalities is (5,-2). which is the correct answer would be an option (A).

The first inequality, 2x + y > 3, can be rewritten in slope-intercept form as y > -2x + 3. This represents a line with a slope of -2 and a y-intercept of (0,3).

The second inequality, x - y > 1, can also be rewritten in slope-intercept form as y < x - 1. This represents a line with a slope of 1 and a y-intercept of (0,-1).

When you graph these two lines, you will get two lines that intersect at some point. The region of the graph that satisfies both inequalities will be the area that is bounded by these lines and lies above or below them, depending on the inequality symbol.

In this case, the solution to the system of inequalities is the region of the graph that is above the line y = -2x + 3 and below the line, y = x - 1. This region is shaded in the graph below.

From the graph, you can see that the solution includes all points in the shaded region. You can also see that points B (0,-5), C (0,0) , and D (0,5) is not included in the solution, while point A (5,-2) included in the solution.

Therefore, the correct answer is A (5,-2).

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Answer:

it is at 200 mph

Step-by-step explanation:

bc i did the test

The quadratic function which models the motion of the penny is h(t) = -4.9t² + 10.18t + 26.6 and the maximum height reached is 31.53 meters

The relationship can be expressed in the form :

h(t) = - 0.5gt² + vt + h (downward motion)

g = 9.8 m/s²

h = 26.6 m

v = ?

We can obtain v thus ;

h(t) = -0.5gt² + vt + 26.6

h(t) = - 4.9t² + vt + 26.6

Time when penny hits the ground ; t = 3.59

h(3.59) = 0

0 = -4.9(3.59)² + v(3.59) + 26.6

− 63.15169 + 3.59v + 26.6 = 0

3.59v = 36.55169

v = 36.55169 /3.59

v = 10.181 m/s

Equation becomes :

h(t) = -4.9t² + 10.18t + 26.6

2.) The maximum height of the penny above the ground ;

h(0.77) = -4.9(0.77^2)+ 10.18(0.77) + 26.6

Maximum height reached = 31.53 meters

Therefore, the maximum height reached is 31.53 meters

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a) The probability the minutes reading is 15 is 1.667%.

b) The probability the minutes reading is 15 or less is 25%.

Probability is the likelihood or chance that an expected outcome occurs when other events can equally happen or occur.

Probability is a fractional value when it is less than 1 and more than 0.  When the event is inevitable, its probability is depicted as 1.  On the other hand, when the event is unlikely to occur, its probability is shown as 0.

As a fractional value, we use decimals, fractions, and percentages to show probability.

The probability of the minutes reading being 15 = 1/60 or 1.667% (1/60 x 100)

The probability of the minutes reading being 15 or less = 25% (1.667% x 15) or (15/60 x 100).

Thus, there is a one in 60 chance that the minute reading is 15 and a 25% in 60 cases that the minute reading is 15 or less.

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Answer:

2/5

Step-by-step explanation:

(-2 , 2) = (x1 , x2)

(3 , 4) = (x2 , y2)

slope = y2 - y1/x2 - x1

=4 - 2/3 - (-2)

=2/3+2

=2/5

The answer for this question is Celsius for Fahrenheit.

To convert temperatures from degrees Fahrenheit to degrees Celsius, multiply the result by.5556 (or 5/9) after subtracting 32.

(50°F - 32) x.5556 = 10°C, for instance.

When converting from degrees Celsius to Fahrenheit, multiply the result by 1.8 (or 9/5) and then by 32.

For instance, (30°C x 1.8) + 32 = 86°F'

Here are two useful charts that translate between F and C as well as between C and F.

The temperature of f degrees Fahrenheit converted to degree Celsius.

(( f)=5/9 (f-32)

represent the temperature of f degrees Fahrenheit converted to degree Celsius.

The function C(F) will be "C of F" it will be converted Fahrenheit to Celsius.

So that means if the temperature is in Fahrenheit it will be converted to Celsius.

So that means the C(F) represents the Celsius temperature.

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Complete Question -

For one month diera calculated her home town's average high temperature in degrees Fahrenheit. She wants to convert that temperature from degrees FAhrenheit to degrees Celsius using the function C(F) = 5/9(F-32). What does C(F) represent?

The coordinate of the point after transformation is: (3, -4)

The coordinate initially is given as (0, -4).

Moving one unit to the left means a deduction of 1 unit from the x coordinate to get:

(0 - 1, -4)

= (-1, -4)

Moving by 4 units to the right means an addition of 4 units to x coordinate to get:

(-1 + 4, -4)

= (3, -4)

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Answer:

Step-by-step explanation:

Two groups were tested to compare their speed at working math problems.

Aim/Objective of experiment:

To test their speed (each group and then compare) at working math problems

Control Group:

The group of students computing math problems without a calculator

Experimental Group:

The group of students computing math problems with a calculator

Statistical Hypothesis:

Null hypothesis: Both the control and the experimental group worked math problems at the same pace or speed

Alternative hypothesis: The experimental group worked math problems with a greater speed than the control group

This hypothesis is derived from the thought or knowledge that calculators help solve math problems faster. Your hope would be to refute the null hypothesis and accept the alternative hypothesis; after testing.

The linear relationship illustrated in the provided table can be effectively described by the equation Y = -4x + 2. Option D.

To determine the equation that represents the given table with the values of x and y, we can observe the pattern and find the equation of the line that fits these points.

Given the table:

X: 2 0 4

Y: -4 3 1

We can plot these points on a graph and see that they form a straight line.

Plotting the points (2, -4), (0, 3), and (4, 1), we can see that they lie on a line that has a negative slope.

Based on the given options, we can now evaluate each equation to see which one represents the line:

Y = 1/2x + 5

When we substitute the x-values from the table into this equation, we get the following corresponding y-values: -3, 5, and 6. These values do not match the given table, so this equation does not represent the table.

Y = -1/2x + 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: 4, 3, and 2. These values also do not match the given table, so this equation does not represent the table.

Y = 2x - 3

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -4, -3, and 5. These values do not match the given table, so this equation does not represent the table.

Y = -4x + 2

When we substitute the x-values from the table into this equation, we get the corresponding y-values: -6, 2, and -14. Interestingly, these values match the y-values in the given table. Therefore, the equation Y = -4x + 2 represents the table.

In conclusion, the equation Y = -4x + 2 represents the linear relationship described by the given table. So Option D is correct.

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The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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While China has pulled hundreds of millions out of poverty, it has done so at the expense of the right to free speech and government.

China is a Communist country ruled by the Communist Party in a one-party state.

As a result, there are few political liberties because everything must adhere to the party's criteria. This means that while China's economy has been flourishing for decades, lifting people out of poverty has come at the expense of their freedom.

This is why Tiananmen Square movements for democracy were crushed, and Hong Kong protesters are being suppressed.

China is giving its people economic rights by lifting them from poverty, but has taken their political rights away.

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The quotient of the given expression is 68.

What is the quotient?

A quotient in mathematics is the amount created by dividing two numbers. The term "quotient" is used frequently in mathematics and is sometimes known as the integer portion of a division, a fraction, or a ratio.

For the given problem,

To find out the estimation of the quotient, we first round the dividend and the divisor to the closest tens, hundreds, or thousands, and then divide the rounded figures to approximate the quotient.

Given, 3411 divided by 53

So, the rounding value becomes 3400 divided by 50,

then, 3400/50 = 68

Hence, the quotient is 68.

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Answer:

c 57

Step-by-step explanation:

The cost of running only half of the fleet for 6 hours each would be $7687.2 .

The company runs full fleet of 16 trucks at 8 hours each.

Which means total hours of running on full fleet = 128 Hours

So, The cost of running 128 hours =  $20,500

Then, cost of running 1 hour = $20,500 ÷ 128

                                             = $160.15

Now we will determine the cost of running trucks on half fleet for 6 hours each.

As we already know that

Full fleet = 16 Trucks

Then, Half fleet = 8 Trucks

Total hours of trucks running on half fleet = 8 × 6

                                                                 = 48

The cost of running 48 hours = 48 × $160.15

                                              =  $7687.2

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\(\text{Given that,}\\\\(x_1,y_1) = (1,-2)~~ \text{and}~~ (x_2,y_2) = (3,-4)\\\\\text{Slope,}~ m= \dfrac{y_2-y_1}{x_2 -x_1} = \dfrac{-4+2}{3-1} = -\dfrac 22 = -1\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +2 = -1(x-1)\\\\\implies y = -x+1 -2\\\\\implies y = -x-1\\\\\text{This is the slope-intercept form(y =mx+b).}\)

Answer:

y=-x-1

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-4-(-2))/(3-1)

m=(-4+2)/2

m=-2/2

m=-1

y-y1=m(x-x1)

y-(-2)=-1(x-1)

y+2=-x+1

y=-x+1-2

y=-x-1

The rate of interest is 73%.

What is the annual rate?

The term annual percentage rate of charge refers to the interest rate for an entire year rather than just a monthly fee or rate as applied on a loan, mortgage loan, credit card, etc. It can also be referred to as a nominal APR or an effective APR. It is an annual rate of a finance charge.

Given that 1 dollar to grow to X dollars in 2 years is given by the formula X = (1+r) ².

A dollar to triple in 2 years.

Thus putting X = 3 in X = (1+r) ²

3 = (1+r) ²

Take square root on both sides:

√3 = 1 + r

Subtract 1 from both sides:

r = √3 - 1

r = 0.73

r = 73%

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Answer:

2) 168

Step-by-step explanation:

57/20 or 2.85 is the right answer

Answer:

Abid

Step-by-step explanation:

300/5=60

60x6=360

neil -360

abid- 375