Which of the following points could not
be a y-intercept?
(0-2)
(0,9)
(0,0)
(4,0)

Answer:

f(20)=110

f(30)=160

f(40)=210

Given function,

\( \sf f(x) = 5x + 10\)

If x = 20

Substitute the value of x in the given function f(x)

\( \sf f(x) = 5x + 10 \)

\( \sf f(20) = 5(20) + 10 \)

\( \sf f(20) = 100 + 10 \)

\( {\boxed{\sf {f(20) = 110}}} \)

If x = 30

\( \sf f(x) = 5x + 10 \)

\( \sf f(30) = 5(30) + 10 \)

\( \sf f(30) = 150 + 10 \)

\( {\boxed{\sf { f(30) = 160}}} \)

If x = 40

\( \sf f(x) = 5x + 10 \)

\( \sf f(40) = 5(40) + 10 \)

\( \sf f(40) = 200 + 10 \)

\({\boxed{ \sf { f(40) = 210}}} \)

Using the z table, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

In the given question,

We have to find that the probability that a standard normal random variable will be between 0.3 and 3.2 .

We firstly learn about a standard normal random variable which is expressed with a mean and standard deviation.

Since we have to find the probability that a standard normal random variable will be between 0.3 and 3.2 .

So The probability should be

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

From the standard value of z

P(0.3<z<3.2)=0.9993−0.6179

Simplifying

P(0.3<z<3.2)=0.3814

Hence, the probability that a standard normal random variable will be between 0.3 and 3.2 is 0.3814.

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Answer:

Options C and D.

Step-by-step explanation:

Choice (A).

-19x - 18 = -19x + 18

Here we are equating two equations,

y = -19x - 18

y = -19x + 18

Since slopes of these equations are same as (-19), both are parallel.

Therefore, there is no solution for the given system of equations.

Choice (B)

-19x + 18 = -19x + 18

Equations are,

y = -19x + 18

y = -19x + 18

Since both the equations represent the same line, so the system of equations will have infinite solutions.

Choice (C)

19x - 18 = -19x + 18

System of equations is,

y = 19x - 18

y = -19x + 18

Slopes of both the lines are different (19 and -19)

Therefore, the system of equations will have exactly one solution.

Choice (D)

19x + 18 = -19x + 18

System of equations is,

y = 19x + 18

y = -19x + 18

This system of equations have the different slopes.

Therefore, the system of equations will have exactly one solution.

Answer:

It got B and D

Step-by-step explanation:

....

......

sorry if it’s wrong

actauloy edit there is two of them and one of them is this answer and one of them is another one so take your luck and make sure to match up the numbers

Answer: To match the shapes produced by the slice through the triangular prism, we need to consider the orientation of the slice relative to the prism. Here are the matching options:

A. Perpendicular to the base: Rectangle

B. Parallel to the base: Triangle with dimensions equal to the base

C. Diagonal from vertex to vertex: Triangle with unknown dimensions

A simplification of the expression 4³ + 4 · 5 is: B. 84.

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right. Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Based on the information provided, we have the following mathematical expression:

Expression = 4³ + 4 · 5

By taking the exponent, we have:

Expression = 64 + 4 · 5

By multiplying, we have:

Expression = 64 + 20

From the addition, we have:

Expression = 84

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Answer:

20

Step-by-step explanation:

0.25(x+40) = 3+0.75(x - 4)

As per the given percentage of tax, the least expensive cell phone plan is plan c with the cost of $56.336

The term percentage in math is defined as  a number or ratio that can be expressed as a fraction of 100

Here we have given that monthly cell phone plans and each plan will include a total of 6.5% fees and taxes on the subtotal.

Based on these, first we have to calculate the cost of each plan,

The cost for plan a is written as,

=> (52 + 10 + 8) + 6.5% tax

=> 70 + 6.5% tax

The value of 6.5% tax is calculated as,

=> 6.5/100 x 70

=> 4.55

Therefore, the cost for plan B is $74.55

Similarly, the for plan a is written as,

=> (50 + 12 + 8) + 6.5% tax

=> 70 + 6.5% tax

The value of 6.5% tax is calculated as,

=> 6.5/100 x 70

=> 4.55

Therefore, the cost for plan B is $74.55

Finally, the for plan C is written as,

=> (48 + 8) + 6.5% tax

=> 56 + 6.5% tax

The value of 6.5% tax is calculated as,

=> 6.5/100 x 56

=> 0.336

Therefore, the cost for plan C is $56.336

Therefore, the least plan is C.

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a. The arc length S of the sector is \(\frac{5\pi }{2}\)cm.

b. The area of the circular sector A is \(\frac{15\pi }{2}\)cm².

Given that,

The radius of a circle r = 6cm and the central angle θ= 75°.

In the picture we can see the circle.

a. We have to find the arc length S of the sector.

The formula for arc length is the multiplication of angle and radius.

Arc length = angle × radius

Arc length = 75° × 6

Arc length = 75(\(\frac{\pi}{180}\)) × 6

Arc length = \(\frac{75}{30} \times\pi\)

Arc length = \(\frac{5\pi }{2}\)cm

Therefore, The arc length S of the sector is \(\frac{5\pi }{2}\)cm.

b. We have to find the area of the circular sector A.

The formula for the area of the circular sector A is πr²(\(\frac{\theta}{360}\))

Sector area = π(6)²(\(\frac{75}{360}\))

Sector area = π(36)(\(\frac{75}{360}\))

Sector area = π(\(\frac{75}{10}\))

Sector area = \(\frac{15\pi }{2}\)cm²

Therefore, The area of the circular sector A is \(\frac{15\pi }{2}\)cm².

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The length of the base of the rectangle is B = 11 yards  

The area of the rectangle is given by the product of the length of the rectangle and the width of the rectangle

Area of Rectangle = Length x Width

Given data ,

Let the area of the rectangle be represented as A

Now , the value of A is

Let the base of the rectangle be represented as B

Area of rectangle A = 209 yards²

The length of the rectangle L = 19 yards

And , Area of Rectangle = Length x Width

Substituting the values in the equation , we get

Area of Rectangle = 19 x B

209 = 19 B

Divide by 19 on both sides of the equation , we get

B = 209 / 19

B = 11 yards

Hence , the length of the base of rectangle is 11 yards

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The statement is false. It is not legal to directly instantiate an abstract class, whether or not it is initialized.

An abstract class is a class that cannot be instantiated directly. It serves as a blueprint for its subclasses and is meant to be extended and implemented by its derived classes. Abstract classes are designed to be partially or fully implemented by their subclasses, and they often contain abstract methods that must be overridden by the subclasses.

Attempting to instantiate an abstract class directly will result in a compilation error. The purpose of an abstract class is to provide a common interface and define common behavior for its subclasses. Therefore, it is not intended to be instantiated on its own.

To use the functionality of an abstract class, you need to create a concrete subclass that extends the abstract class and implements any necessary abstract methods. Instances of the concrete subclass can then be created and utilized.

Therefore, Incorrect. It is not permissible to directly create an instance of an abstract class, regardless of whether it is initialized or not.

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The new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees are approximately (4.993, 2.048).

To find the new coordinates of the point (5, 2) after rotating counterclockwise about the origin through an angle of 5 degrees, we can use the rotation formula:

x' = x * cos(theta) - y * sin(theta)

y' = x * sin(theta) + y * cos(theta)

Where (x, y) are the original coordinates, (x', y') are the new coordinates after rotation, and theta is the angle of rotation in radians.

Converting the angle of rotation from degrees to radians:

theta = 5 degrees * (pi/180) ≈ 0.08727 radians

Plugging in the values into the rotation formula:

x' = 5 * cos(0.08727) - 2 * sin(0.08727)

y' = 5 * sin(0.08727) + 2 * cos(0.08727)

Evaluating the trigonometric functions and simplifying:

x' ≈ 4.993

y' ≈ 2.048

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Answer:

Step-by-step explanation:

favorable events ={5,6}

number of favorable events=2

P=2/6=1/3

According to the box and whisker plot, using the percentile concept, it is found that Paul's team traveled 350 or fewer miles for 75% of their games.

When a measure is in the xth percentile of a data-set, it is greater than x% of the measures and lesser than (100 - x)%.

The box and whisker plot focuses on the interquartile range, hence, 200 miles is the 25th percentile, 300 miles is the mean, while 350 miles is the 75th percentile, which means that Paul's team traveled 350 or fewer miles for 75% of their games.

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To find the mean number of calories in the sample of hamburgers, we sum up all the calorie values and divide by the total number of hamburgers.

340 + 350 + 300 + 250 + 270 + 340 = 1850

To calculate the mean, we divide the sum by the number of hamburgers:

1850 / 6 = 308.33

Therefore, the mean number of calories in the sample of hamburgers is 308.3 (rounded to one decimal place).

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The derivate of f(y) is -9y^6 - 33y^4 + 84y^2.

To differentiate the given function f(y), we will use the product rule and the chain rule of differentiation. Let's break down the function into two parts:

f(y) = (1 y^2 - 9 y^4) * (y + 3y^3)

Using the product rule, we can differentiate each part separately:

f'(y) = (1 y^2 - 9 y^4)' * (y + 3y^3) + (1 y^2 - 9 y^4) * (y + 3y^3)'

The derivative of the first part is:

(1 y^2 - 9 y^4)' = 2y - 36y^3

Now we need to differentiate the second part using the chain rule. Let's call the inner function u:

u = y + 3y^3

Using the power rule, the derivative of u with respect to y is:

u' = 1 + 9y^2

Now we can substitute these values back into our original equation:

f'(y) = (2y - 36y^3) * (y + 3y^3) + (1 y^2 - 9 y^4) * (1 + 9y^2)

Simplifying further:

f'(y) = 2y^2 + 6y^4 - 36y^4 - 108y^6 + y^2 + 9y^4 - 9y^6 + 81y^2

Combining like terms:

f'(y) = -9y^6 - 33y^4 + 84y^2

Therefore, the derivative of f(y) is -9y^6 - 33y^4 + 84y^2.

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Answer:

The answer is D

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

Angles WXV and ZXY were proven congruent.

Angles W and Y were proven congruent.

Sides WX and XY were proven congruent.

The $130,000 would be considered as Statistic.

In statistics, a population refers to the entire group of individuals or items of interest, while a sample is a subset of the population. A parameter is a numerical value that describes a characteristic of a population.

In this scenario, the survey results are based on a sample of 10,000 graduates out of a total population of 200,000 graduates. The average salary of $130,000 is calculated from the data collected within this sample. Since it is derived from the sample, it is considered a statistic.

A parameter would be used to describe the average salary of the entire population of 200,000 graduates if data were collected from all of them. However, in this case, the given information only pertains to the subset of the sample.

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The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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Step-by-step explanation:

Since 4x + 24 and 7x + 3 are vertical angles, that means they are congruent so we can write:

4x + 24 = 7x + 3

-3x = -21

x = 7°

Since 4x + 24 and z form a linear pair, they are supplementary (meaning they have a sum of 180°) so we can write:

4x + 24 + z = 180

4 * 7 + 24 + z = 180 (Substitute x = 7)

28 + 24 + z = 180

52 + z = 180

z = 128°

Answer:

39

Step-by-step explanation:

10 groups of 3 equals 30 so just add the 9 and that equals 39

Answer:

add 358 with itself 45 times

Step-by-step explanation:

Answer: multiply 45 with 357, or 385 x 5 x 9

Step-by-step explanation:

The x-intercept of the equation y = 4x² + 10x - 3 is x = \(\frac{-5+\sqrt{37} }{4}\) or x = \(\frac{-5-\sqrt{37} }{4}\).

The x-intercept is the point at which the graph of an equation crosses the x-axis. The x-intercepts is the value of x when the value of y equals zero.

In other words, the x-intercept is the point where the graph of the line crosses the x-axis.

Therefore, let's find the x-intercept of y = 4x² + 10x - 3.

Therefore,

4x² + 10x - 3 = 0

using the quadratic formula,

\(\frac{-b+\sqrt{b^{2} - 4ac} }{2a}\) or \(\frac{-b-\sqrt{b^{2} - 4ac} }{2a}\)

Hence,

a = 4

b = 10

c = -3

Therefore,

x = \(\frac{-5+\sqrt{37} }{4}\) or x = \(\frac{-5-\sqrt{37} }{4}\)

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The question refers to the plot of the plate's function of the angle of inclination. When the hot side is tilted both upward and downward over the range of +90°, the discontinuous formulas must be used in different ranges of 0.

It refers to the plot of the function of the angle of inclination of a plate. It is a graph that shows the relationship between the angle of inclination and the plate's function. A plate is tilted on its hot side both upward and downward over a range of +90°. The graph shows that different discontinuous formulas are needed for different ranges of 0. A discontinuous formula refers to a formula that consists of two or more parts, each with a different equation. The two or more parts of a discontinuous formula have different ranges, such that each range requires a different equation. These formulas are used in cases where the same equation cannot be applied throughout the entire range.

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Step-by-step explanation:

1160 divided by 8 is 145

so 1164 tecnically can't be divided by 8 normally so it comes in decimal form .

Answer:

1160 divided by 8 is 145

Step-by-step explanation:

but yah

Answer:

56%

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Answer:

43.75%

Step-by-step explanation:

step 1

16-9=7

7ounce remains

step2

7 of 16 ounce remains

convert into percentge

7/16×100=43.75%

Answer:

Step-by-step explanation:

50-40= 20%

50*20%= 10

50-10=40

Answer:

A

Step-by-step explanation:

the rest are inccorect

The probability that in a randomly selected month the insurance company's claims are less than 26 claims is 0.9772 or 97.72%.

To calculate the z-score, we use the formula:
z = (x - μ) / σ

where x is the value we are interested in (in this case, 26 claims), μ is the mean (20 claims), and σ is the standard deviation (3 claims).

Plugging in the values, we get:
z = (26 - 20) / 3
z = 6 / 3
z = 2

Next, we look up the z-score of 2 in the standard normal distribution table. The z-score of 2 corresponds to a probability of 0.9772.

Therefore, the probability that in a randomly selected month the insurance company's claims are less than 26 claims is 0.9772 or 97.72%.

In conclusion, there is a 97.72% probability that in a randomly selected month the insurance company's claims will be less than 26 claims, based on the given mean of 20 claims and standard deviation of 3 claims.

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