slope=4 and passes through (3,2)

Answer:

Students in her classes At the beginning of the semester, but 13 students withdraw from her classes before Test three. So now she has 150 students. If she has one classes in total, in each class has an equal number of students. How many students are in each class round your answer to the nearest ones? Well, first of all, if she only has one class, then there's 150 students in that class is or class, this is the middle school math teacher signing out.

lazyuser30

Answer:

-4, no real solutions

Step-by-step explanation:

b^2 is 16 since b is -4

4ac = 4*1*5 = 20

16 - 20 is -4

no real solutions since you cant get the squareroot out of a negative number (at least not real numbers)

Answer:B

Step-by-step explanation: The discriminant is −4, so the equation has no real solutions.

Got it from EDG Its right trust

Answer:

(C) 2x^3 - 3x^2 - 35x + 36

Step-by-step explanation:

First multiply 2x by x^2 + 3x - 4:

(2x)(x^2 + 3x - 4)

2x^3 + 6x^2 - 8x

Next multiply -9 by x^2 + 3x - 4:

(-9)(x^2 + 3x - 4)

-9x^2 - 27x +36

Now add the two polynomials by adding like terms:

(2x^3 + 6x^2 - 8x) + (-9x^2 - 27x +36)

2x^3 + 6x^2 - 9x^2 - 8x - 27x + 36

2x^3 - 3x^2 - 35x + 36

Hope this helps (●'◡'●)

Answer:

because its 5 squared, therefore, the first number can not be a sqaure number

Step-by-step explanation:

Answer:

see below

Step-by-step explanation:

5^9

The power is an odd number

To be a perfect square, the power has to be an even number

Answer:

\( {x}^{2} + x - 2\)

Step-by-step explanation:

\(p(x)=x^2+2x-5 \: and \: q(x)=x-3 \\ \\ p(x) - q(x) \\ \\ = x^2+2x-5 - (x - 3) \\ \\ = x^2+2x-5 - x + 3 \\ \\ = {x}^{2} + 2x - x + 3 - 5 \\ \\ p(x) - q(x) = {x}^{2} + x - 2\)

Answer:c

Step-by-step explanation:

Answer:

Step-by-step explanation:

6,000-7,500 liters (1,500-2,000 gallons) of blood daily. The average adult body contains about five quarts of blood, which continually circulates throughout the body. Hope this helps!

The integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

To determine the values of p for which the integral ∫10x^p * ln(x) dx converges, we need to consider the convergence of the integrand for different values of p. The integral will converge if the integrand is well-behaved and does not exhibit any divergence.

Let's analyze the integrand in two separate cases:

Case 1: p ≠ -1

When p ≠ -1, the integrand is well-defined for all x > 0. We can proceed with evaluating the integral.

∫10x^p * ln(x) dx = [x^(p+1) * ln(x)] / (p+1) + C

To calculate the value of the integral for a specific value of p, we can substitute the limits of integration into the antiderivative expression and evaluate the resulting expression.

Case 2: p = -1

When p = -1, the integrand becomes 10x^(-1) * ln(x), which poses a potential issue at x = 0. To determine if the integral converges for this case, we need to examine the behavior of the integrand near x = 0.

As x approaches 0, the expression ln(x) approaches negative infinity, which would cause the integrand to diverge. Therefore, for p = -1, the integral does not converge.

In summary, the integral ∫10x^p * ln(x) dx converges for all values of p except p = -1.

Please note that when evaluating the definite integral for specific limits of integration, you should substitute the limits into the antiderivative expression and then calculate the difference of the resulting expressions evaluated at the upper and lower limits.

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Answer: (1, -2) (4, -8) (-5, 10) ( 3, -6)

Step-by-step explanation:

You solve all of them by inputting the x value's into the x in the equation

Here:

y= -2(1)   x=1 y= -2

y= -2(4)   x=4 y= -8

y= -2( -5)  x= -5 y= 10

y= -2(3)   x= 3    y= -6

To determine the intervals on which the function \(f(x) = x^4 - 4x^3 + 3\) is concave up or concave down, we need to find the second derivative of the function and analyze its sign.

First, let's find the first derivative of f(x):

\(f'(x) = 4x^3 - 12x^2\)

Next, let's find the second derivative of f(x) by taking the derivative of f'(x):

\(f''(x) = 12x^2 - 24x\)

To determine the intervals of concavity, we need to find where f''(x) is positive (concave up) or negative (concave down). We can do this by analyzing the sign of f''(x).

Now, let's find the values of x for which f''(x) = 0, as these will give us potential inflection points:

\(12x^2 - 24x = 0\)

12x(x - 2) = 0

x = 0 or x = 2

The potential inflection points are x = 0 and x = 2.

To analyze the concavity of the function, we'll use test points within the intervals between the potential inflection points and beyond.

For x < 0, let's choose x = -1 as a test point:

\(f''(-1) = 12(-1)^2 - 24(-1) = 12 + 24 = 36\)

Since f''(-1) = 36 > 0, the function is concave up for x < 0.

For 0 < x < 2, let's choose x = 1 as a test point:

\(f''(1) = 12(1)^2 - 24(1) = 12 - 24 = -12\)

Since f''(1) = -12 < 0, the function is concave down for 0 < x < 2.

For x > 2, let's choose x = 3 as a test point:

\(f''(3) = 12(3)^2 - 24(3) = 108 - 72 = 36\)

Since f''(3) = 36 > 0, the function is concave up for x > 2.

In summary:

The function is concave up for x < 0 and x > 2.

The function is concave down for 0 < x < 2.

The inflection points are x = 0 and x = 2.

I hope this clarifies the concavity and inflection points of the given function. Let me know if you have any further questions!

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To determine the number of gallons of paint needed to cover office 143, we need to know the square footage of the office.

Once we have that information, we can divide the square footage by the coverage rate per gallon to calculate the required amount of paint.

Let's assume the square footage of office 143 is 800 square feet.

Number of gallons needed = Square footage / Coverage rate per gallon

Number of gallons needed = 800 square feet / 50 square feet per gallon

Number of gallons needed = 16 gallons

Therefore, you would need approximately 16 gallons of paint to cover office 143, assuming each gallon covers 50 square feet.

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Answer:

Step-by-step explanation:

V = w h l

V = 7.5 * 7.5 * 6

V = 337.5cubic feet * 0.05

V = 16.875Lbs

V = 17Lbs (Rounded to nearest pound)

Answer:

212.5

Step-by-step explanation:

7 chairs = 148.75

148.75 ÷ 7 = 21.25

21.25 x 3 = 63.75

148.75 + 63.75 = 212.5

Answer:

Hello the required image is missing attached below is the missing box

answer : FHGE

Step-by-step explanation:

The plane representing the top surface of the box is FHGE. there are still other planes there but do not represent the entire top surface of the Box and they are : FGE, HGE, FHG and FHE. This is because a plane can be represented by three to four Noncollinear points on a solid like a box.

The value of the function f (6) will be 32.

What is substitution method?

Find the value of any one of the variables from one equation in terms of the other variable is called the substitution method.

Given that;

The value of the function;

f (1) = 1

And, The function is;

f (n) = 2 f (n - 1)

Now, Find the value of the function f (6) as;

Since, The function is;

f (n) = 2 f (n - 1)

Substitute n = 2, we get;

f (n) = 2 f (n - 1)

f (2) = 2 f (2 - 1)

f (2) = 2 f (1)

f (2) = 2 x 1

f (2) = 2

And, Substitute n = 3, we get;

f (n) = 2 f (n - 1)

f (3) = 2 f (3 - 1)

f (3) = 2 f (2)

f (3) = 2 x 2

f (3) = 4

And, Substitute n = 4, we get;

f (n) = 2 f (n - 1)

f (4) = 2 f (4 - 1)

f (4) = 2 f (3)

f (4) = 2 x 4

f (4) = 8

And, Substitute n = 5, we get;

f (n) = 2 f (n - 1)

f (5) = 2 f (5 - 1)

f (5) = 2 f (4)

f (5) = 2 x 8

f (5) = 16

And, Substitute n = 6, we get;

f (n) = 2 f (n - 1)

f (6) = 2 f (6 - 1)

f (6) = 2 f (5)

f (6) = 2 x 16

f (6) = 32

Thus, The value of the function f (6) will be 32.

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Answer:

IJK and KJM

Step-by-step explanation:

Vertical Angles are the angles opposite each other when two lines cross

they are always equal in measure and share a point (in this case J)

hope this helps

Answer:

The value of x could be anything, so I don't know what you mean until you have some sort of equation or graph - or anything at that.

Step-by-step explanation:

Answer:

$90,710.74

Step-by-step explanation:

Answer:

it's the 3rd one

Step-by-step explanation:

it's so easy

We have a purchase of $1,300,000.

The downpayment is $150,000 and the rest is financed.

We can calculate the amount that is owed as:

This amount will be paid in equal amounts, monthly for 20 years.

The interest rate is 16% compounded quarterly.

We have to start by converting the interest rate in a monthly-compounded equivalent rate.

A rate of 16% compounded quarterly (m=3) will be equivalent to a monthly rate r. We can calculate r as:

We then can calculate the payments as an annuity with r = 0.013 and 20*12 = 240 payments.

We can calculate the amount he will pay each month as:

Answer: the monthly payment is approximately $15654.45.

Answer:

To determine the garbage per capita, we need to divide the total waste generated by the population. In 2005, the total waste generated was 8.618 x 10^8 pounds and the population was 2.76 x 10^5 people, so the garbage per capita in that country in 2005 was 3.12 pounds per person. This can be calculated as follows:

8.618 x 10^8 pounds / 2.76 x 10^5 people = 3.12 pounds/person

Alternatively, we can rewrite the population in scientific notation to make the calculation easier:

8.618 x 10^8 pounds / (2.76 x 10^5) people = 8.618 x 10^8 pounds / (2.76 x 10^3 x 10^2) people

Now we can cancel out the common factors of 10^2 from the numerator and denominator to get the final result:

8.618 x 10^8 pounds / (2.76 x 10^3 x 10^2) people = 8.618 x 10^8 pounds / (2.76 x 10^3) people

= 8.618 x 10^5 pounds / (2.76) people

= 3.12 pounds/person

This shows that in 2005, the garbage per capita in that country was 3.12 pounds per person.

Answer:

7x - 2y - 20 = 0

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (2, - 3 ) and (x₂, y₂ ) = (4, 4 )

m = \(\frac{4-(-3)}{4-2}\) = \(\frac{4+3}{2}\) = \(\frac{7}{2}\) , then

y = \(\frac{7}{2}\) x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, 4 )

4 = \(\frac{7}{2}\) (4) + c = 14 + c ( subtract 14 from both sides )

- 10 = c

y = \(\frac{7}{2}\) x - 10 ← in slope- intercept form

multiply through by 2

2y = 7x - 20 ( subtract 2y from both sides )

0 = 7x - 2y - 20 , that is

7x - 2y - 20 = 0 ← required equation

The ratio of the volumes of two spheres is proportional to the cube of their radii (or diameters), hence it is 125:1.

Since planet A has a diameter that is approximately 10 times that of planet B, its radius is 5 times that of planet B.

Therefore, the ratio of the volumes of planet A to planet B can be calculated as follows:

(Volume of A) / (Volume of B) = (4/3)πrA³ / (4/3)πrB³

where rA is the radius of planet A and rB is the radius of planet B.

Since rA = 5rB, we can substitute this into the equation above:

(Volume of A) / (Volume of B) = (4/3)π(5rB)³ / (4/3)πrB³

Simplifying the equation by canceling out the common terms, we get:

(Volume of A) / (Volume of B) = 5³

Therefore, the ratio of the volumes of planet A to planet B is 125:1. In other words, planet A has a volume that is 125 times greater than that of planet B.

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The area of the semicircle is 39.275 square cm

From the question, we have the following parameters that can be used in our computation:

Diameter = 10 cm

Start by calculating the radius of the semicircle

So, we have the following representation

radius = Diameter/2

This gives

radius = 10/2

Evaluate

radius = 5

The area of the semicircle is then calculated as

Area = πr²/2

So, we have

Area = 3.142 * 5²/2

Evaluate

Area = 39.275

Hence, the area is 39.275 square cm

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the equation of the line is f(x) = -4x + 42.

To find the equation of the line that passes through the points (10, 2) and (8, 10) using the slope-intercept form, we first need to determine the slope of the line.

a. To determine the slope of a line parallel to the given line, we can use the fact that parallel lines have the same slope. So, we need to find the slope of the given line passing through (10, 2) and (8, 10).

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

          = (10 - 2) / (8 - 10)

          = 8 / (-2)

          = -4

Therefore, the slope of any line parallel to the given line is also -4.

b. To determine the slope of a line perpendicular to the given line, we can use the fact that perpendicular lines have negative reciprocal slopes. So, the perpendicular slope would be the negative inverse of the given slope.

Perpendicular slope = -1 / (-4)

                  = 1/4

Therefore, the slope of any line perpendicular to the given line is 1/4.

The equation of the line passing through the points (10, 2) and (8, 10) using the slope-intercept form (y = f(x)) can be found using the point-slope form:

y - y1 = m(x - x1)

Taking (10, 2) as (x1, y1), we have:

y - 2 = -4(x - 10)

y - 2 = -4x + 40

y = -4x + 42

Hence, the equation of the line is f(x) = -4x + 42.

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The tax rate for social security is 6.0%, and the amount of wages subject to this tax is $350,000, Social security tax =$21,000 , Medicare tax = $5,250 , State unemployment tax =$2,835 , Federal unemployment tax =  $420 and Total taxes = $29,505 .

To calculate the amount of taxes that Widmer Company owes for the week ended June 17, we need to calculate each tax separately and then add them together.

First, let's calculate the social security tax. The tax rate for social security is 6.0%, and the amount of wages subject to this tax is $350,000. So:

Social security tax = 6.0% x $350,000 = $21,000

Next, let's calculate the Medicare tax. The tax rate for Medicare is 1.5%, and the amount of wages subject to this tax is also $350,000. So:

Medicare tax = 1.5% x $350,000 = $5,250

Now let's calculate the state unemployment tax. The tax rate for state unemployment is 5.4%, and the amount of wages subject to this tax is $52,500. So:

State unemployment tax = 5.4% x $52,500 = $2,835

Finally, let's calculate the federal unemployment tax. The tax rate for federal unemployment is 0.8%, and the amount of wages subject to this tax is also $52,500. So:

Federal unemployment tax = 0.8% x $52,500 = $420

Now let's add up all of the taxes:

Total taxes = Social security tax + Medicare tax + State unemployment tax + Federal unemployment tax

Total taxes = $21,000 + $5,250 + $2,835 + $420

Total taxes = $29,505

This means that Widmer Company owes $29,505 in taxes for the week ended June 17.

Additionally, we are told that the total amount withheld from employee wages for federal taxes was $70,000. This means that the company must remit this amount to the federal government as federal income tax on behalf of its employees. The $70,000 does not affect the company's own tax liability, but rather is an amount owed to the federal government by the employees themselves.

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y=-2x

Step-by-step explanation:

it can't be y=2x and y=-½ because it passes by the opposite side of the given graph

We know that the resistance R varies proportionally to the wire's length L and inveresly to the square of its diameter D.

We can express this as:

where k is a constant.

We can calculate the value of k using the expression above and knowing that R = 18,737 ohms when L = 4,900 ft and D = 0.02 in.

We replace with the values and calculate k as:

We then can calculate the resistance for a wire with length L = 3900 ft and diameter D = 0.06 as:

Answer: the resistance is R = ohms.

Answer:

2^1 i think

Step-by-step explanation:

Answer: 2^1

Step-by-step explanation:

The multiplicative identity is any numbers times one is that number.

The solution for the inequalities is x > - 1 OR x < -1.

The mathematical expression for inequality states that neither side is equal. In mathematics, inequality occurs when the relationship results in a non-equal comparison between two expressions or numbers. Any of the inequality symbols, such as greater than (>), less than (<), greater than or equal to (≥), less than or equal to (≤), or not equal to (≠).

Given  : 5x - 29 > -34 OR 2x + 31 < 29.

to solve the equations,

5x - 29 > -34 OR 2x + 31 < 29.

For 5x - 29 > -34

On adding both sides by 29.

5x > - 34 + 29 .

5x > -5

On dividing both sides by 5.

x > - 1 .

For 2x + 31 < 29.

On subtracting both sides by 31

2x < 29 -31

2x < - 2

On dividing both sides by 2.

x < -1

So , x > - 1 OR x < -1 .

Therefore, option A is correct.

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Answer:

35+62 = 97

50 - 97 = -47

you are 47 dollars in debt