Which statement is true about the given function

Therefore, the distance between the two points is simply the difference in their x-coordinates, this makes sense since both points lie on the same horizontal line, and so the vertical distance between them is zero.

Distance is a numerical measurement of how far apart two objects or points are from each other. It is a scalar quantity that is usually expressed in units of length, such as meters, kilometers, miles, or feet. Distance is often used in physics, mathematics, and engineering to describe the spatial separation between two objects or points. It is also used in everyday language to describe how far away something is, such as the distance between two cities or the distance from a person's house to their workplace.

By the question.

The distance between two points on a coordinate plane can be found using the distance formula:

distance =\(\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-x_{1}^{2} ) }\)

In this case, the two points are (0, b) and (a, b). We can substitute these values into the distance formula:

distance = \(\sqrt{(a-0)^{2}+(b-b)^{2} }\)

distance = \(\sqrt{a^{2}+0 }\)

distance = a

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Answer:

Step-by-step explanation:(t-by)(4t+3by)

The first term in the first bracket is multiplied by the last bracket

t(4t+3by)=4t^2+3bty

The second term in the first bracket is multiplied by the last bracket

-by(4t+3by)=-4bty-3b^2y^2

Add the results together and simplify where possible

4t^2+3bty-4bty-3b^2y^2=4t^2-bty-3b^2y^2

Answer:

\(\displaystyle 1 = \frac{cos∠A}{cos∠B}\)

Step-by-step explanation:

\(\displaystyle \frac{OPPOSITE}{HYPOTENUSE} = sin\:θ \\ \frac{ADJACENT}{HYPOTENUSE} = cos\:θ \\ \frac{OPPOSITE}{ADJACENT} = tan\:θ \\ \frac{HYPOTENUSE}{ADJACENT} = sec\:θ \\ \frac{HYPOTENUSE}{OPPOSITE} = csc\:θ \\ \frac{ADJACENT}{OPPOSITE} = cot\:θ\)

Since this is a 45°-45°-90° triangle, you will have two IDENTICAL legs and the hypotenuse is the value of the leg multiplied by the square root of 2:

\(\displaystyle x\sqrt{2} = HYPOTENUSE \\ x = LEGS \\ \\ 4,242640687 ≈ 3\sqrt{2} \\ \\ \frac{3}{4,242640687} ≈ cos∠B \\ \frac{3}{4,242640687} ≈ cos∠A \\ \\ \frac{\frac{3}{4,242640687}}{\frac{3}{4,242640687}} = 1\)

I am joyous to assist you anytime.

The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Triangle ABC is shown in figure.

Now., We know that;

cos A = Base / Hypotenuse

cos A = 3 / 4.24

And, cos B = 3 / 4.24

Thus, The value of expression cos A / cos B is,

⇒ cos A / cos B = (3/4.24) / (3/4.24)

⇒ cos A / cos B = 1

So, The value of expression cos A / cos B is,

⇒ cos A / cos B = 1

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Answer:

\(a_n=4n-11\)

Step-by-step explanation:

The common difference is \(d=4\) with the first term being \(a_1=-7\), so we can generate an explicit formula for this arithmetic sequence:

\(a_n=a_1+(n-1)d\\a_n=-7+(n-1)(4)\\a_n=-7+4n-4\\a_n=4n-11\)

Answer:

The 1 in the hundredths place is ten times bigger in value than the 1 in the thousandths place. They are also both behind the decimals.

Step-by-step explanation:

1/100 = 1/1000 x 10

Answer: m = -4

Step-by-step explanation: If they have the same slope, the lines will be parallel.

Hope this helps!

Step-by-step explanation:

Hey there!

Answer: -4

The slope of the lines which are parallel to eachother is equal.

{i.e M1(slope of 1st equation) is equal to m2 (slope of 2nd equation)} (M1=M2)

Therefore, the slope would be -4.

Hope it helps..

Answer:

En la clase hay 25 alumnos.

Step-by-step explanation:

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y una incógnita, estableciendo una relación de proporcionalidad entre todos ellos.

De todos los estudiantes en la clase, 5 quieren una fiesta de helado. Sabiendo que el 20% de los estudiantes de la clase quiere una fiesta de helado, se puede aplicar la regla de tres: si el 20% de los estudiantes de la clase son 5 estudiantes, el 100% (totalidad de los alumnos) cuántos alumnos son?

\(totalidad de los alumnos=\frac{100*5}{20}\)

totalidad de los alumnos= 25

En la clase hay 25 alumnos.

Take the example of a $10,000 savings account earning 2% interest annually. Since the interest rate is 0.02, expressed as a decimal, the following formula would be appropriate:  Interest equals $10,000 divided by 0.02 times one to equal $200.

Interest = P x R x T is the formula for calculating interest.

P is Principal amount

R is the interest rate

T is the quantity of time periods.

Interest is calculated as $10,000 divided by 0.0015 times one.

Interest equals $15.

The Complete Question is interest rate.

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The expression that shows Francine balance after 'm' months is

First bank : 200 + 50m

Second Bank : 100 + 75m

By dividing the account value by the interest rate and the length of time the money has been in the account, you can figure out how much simple interest you'll receive in a savings account. A savings account's interest is money you earn, not money you pay, so keep that in mind.

Simple interest is calculated based on a loan's principle or the initial deposit into a savings account. Simple interest doesn't compound, therefore a creditor will only charge interest on the principle sum, and a borrower will never be required to pay further interest on the interest that has already accrued.

Interest = P x R x T is the formula for calculating interest.

P is Principal amount

R is the interest rate

T is the quantity of time periods.

For this situation, the computation would be:

In the first bank she deposited $ 200 initially and $50 every month so

The equation will be 200 + 50*m

'm' is the number of months

In the second bank she deposited $ 100 initially and $70 every month so

The equation will be 100 + 75*m

'm' is the number of months

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Answer:

x = 4

Step-by-step explanation:

6x - 7 = 3x + 5 ( subtract 3x from both sides )

3x - 7 = 5 ( add 7 to both sides )

3x = 12 ( divide both sides by 3 )

x = 4

Answerit would be the first one

Step-by-step explanation:

Answer:

2 (2x+5) +4 (x+2) = 66       x = 6

Step-by-step explanation:

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073

A low standard deviation suggests that values are often close to the mean of the collection, whereas a large standard deviation suggests that values are dispersed over a wider range.

Standard deviation, often known as SD, is most frequently represented in mathematical texts and equations by the lower case Greek letter (sigma), for the population standard deviation, or the Latin letter s, for the sample standard deviation.

Let the scores be X and X is normally distributed with a mean of 22 and standard deviation of 2.

μ=22

σ=2

X≈N(22,2)

a) P(X≥26)=P(((X-μ)/σ)≥(26-μ)/σ)

=1-P(Z≥2)

=1-P(Z<2)

=1-0.97725

=0.02275

b) Let a is the 71th percentile of X,

P(X≤a)=0.71

P((X-μ)/σ)≤(a-μ)/σ)=0.71

P(Z≤z)=0.71

From the standard normal table by calculating with z value, we get

a=24.073

Therefore,

a) The proportion of the students scored at least 26 points on this test is 0.02275.

b) The 71 percentile of the distribution of test scores is 24.073.

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The marginal cost will most likely increase to $2.00

Marginal cost is the change in the production costs that would be required to make one extra unit of production.

The marginal costs will continue to rise, increasing the total cost, while the marginal revenue remains the same, decreasing the profit.

For example, if a company produces a cup for $5, and 10 cups would be $50, therefore, the marginal cost is the extra cost it would take to manufacture an additional cup.

Hence, the marginal cost will most likely increase to $2.00

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Answer:

B The marginal cost will most likely increase to $2.00

Step-by-step explanation:

I took the assignment. :)

Answer:

40%

Step-by-step explanation:

4/10 = 40/100 = 40%

If you need further explanation, let me know!

- profparis

Answer:

Use colon method

Step-by-step explanation:

So it is more easy

Answer:

16.75

Step-by-step explanation:

sorry for the wrong answer

Answer:

Hi there!

Your answer is:

It costs 15$ for an 18 year old fan!

Step-by-step explanation:

This is due to the fact that the line y = 15 has a shaded in circle as an endpoint. When an endpoint is shaded, we know that THAT is the actual value.

Hope this helps!

Answer:

vertex = (1, 2 )

Step-by-step explanation:

Given a quadratic in standard form

y = ax² + bx + c ( a ≠  0 )

Then the x- coordinate of the vertex is

x = - \(\frac{b}{2a}\)

y = x² - 2x + 3 ← is in standard form

with a = 1, b = - 2 , then

x = - \(\frac{-2}{2}\) = 1

Substitute x = 1 into the equation for corresponding value of y

y = 1² - 2(1) + 3 = 1 - 2 + 3 = 2

vertex = (1, 2 )

Answer:

61°

Step-by-step explanation:

For parellel lines cut by a transversal corresponding angles are equal.

Answer:

BC=AB

Step-by-step explanation:

This triangle is isosceles that it means has two equal ribs. BC=AB so BC= 4x-14. I think it is in the right form. It depends on how you named the triangle. The important thing is that two equal ribs are those ribs that are in front not the base.

Answer:

the answer is 78*

Step-by-step explanation:

31 and 47 is 78...

i hope this helps

if do then thank me

i want to know if i am right

good luck

The point where the x and y values intersect is the location of the point on the Cartesian coordinate plane.

What are coordinates ?

In mathematics, coordinates refer to a set of values that locate the position of a point or an object in space. They are usually represented as ordered pairs or triplets, depending on the dimensionality of the space being considered.

To use ordered pairs to represent location on a Cartesian coordinate plane, you can follow these steps:

Draw the x-axis and y-axis of the Cartesian coordinate plane. The x-axis is the horizontal axis, and the y-axis is the vertical axis.

Choose a point on the plane as your reference point, called the origin. The origin is usually denoted by the ordered pair (0,0).

Determine the location of a point on the plane by using an ordered pair of numbers (x,y). The first number in the pair, x, represents the horizontal position of the point on the x-axis, and the second number, y, represents the vertical position of the point on the y-axis.

Locate the point on the plane by finding the intersection of the x and y values. Start from the origin and move along the x-axis to the right if x is positive or to the left if x is negative. Then move along the y-axis upward if y is positive or downward if y is negative.

For example, the ordered pair (3,2) represents a point that is 3 units to the right of the origin and 2 units upward from the origin. Similarly, the ordered pair (-2,-5) represents a point that is 2 units to the left of the origin and 5 units downward from the origin.

Therefore, The point where the x and y values intersect is the location of the point on the Cartesian coordinate plane.

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Answer:

A.

Step-by-step explanation:

The interval values given are the values of x.

We see that on Graph A, to the left of  x = 2 the graph is below the x-axis ( negative values of f) and to the right the values of f are above the x-axis (positive f).

Answer:

A :)

Step-by-step explanation:

I just tokk the test!

Answer: I believe it is same side interior are congruent.

Step-by-step explanation:

Answer:

same side interior angles are congruent

Step-by-step explanation:

just took the test ;)

(3) Add: Under applied overhead 34,000

(4) Adjusted cost of goods sold 364,000

1 and 2 RAW MATERIAL INVENTORY

Beginning balance 75,000

a 225,000 150,000 b, Ending Balance 150,000

WORK IN PROGRESS INVENTORY

Beginning balance 140,000

b 125,000 352,000 g

c 60,000

f 105,000

j Ending Balance 78,000

FINISHED GOODS INVENTORY

Beginning balance -

g 352,000 330,000 h

Ending Balance 22,000

FACTORY OVERHEAD

b 25,000

c 40,000 105,000 f

d 74,000

Ending Balance 34,000

COST OF GOODS SOLD

h 330,000

Ending Balance 330,000

Factory overhead applied on the basis of direct labor cost .

Hence applied overhead = 60,000 x 175% = $105,000Step: 2

3)

Computation of under /(over) applied OH

Actual OH($) Applied OH ($) Under /(over) applied OH ($)

139,000 105,000 34,000

Actual manufacturing overhead:

$

Indirect material 25,000

Indirect Labour 40,000

Other manufacturing overhead 74,000

139,000

4)

Cost of goods sold (Unadjusted) 330,000

Add: Under applied overhead 34,000

Adjusted cost of goods sold 364,000

Actal manufacturing overhead is more than applied overhead,it means factory overhead under applied and it will be added in unadjusted cost of goods sold to ascertain adjused cost of goods sold.

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The flux of the vector field F through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation cannot be determined due to the lack of a finite area on the given portion of the plane in the x-y plane.

To compute the flux of the vector field F = (xy, 3yz, 2zx) through the portion of the plane 3x + 2y + z = 6 in the first octant with the downward orientation, we need to evaluate the surface integral of the vector field over the given portion of the plane.

First, we need to parameterize the surface that lies on the plane. Since the equation of the plane is given as 3x + 2y + z = 6, we can express z in terms of x and y as z = 6 - 3x - 2y.

Next, we need to determine the bounds for the variables x and y. Since we are considering the portion of the plane in the first octant, we need to find the values of x and y that satisfy the conditions x ≥ 0, y ≥ 0, and 3x + 2y + z ≤ 6.

Substituting the expression for z in the inequality, we have 3x + 2y + 6 - 3x - 2y ≤ 6, which simplifies to 0 ≤ 0. This condition is always satisfied and does not provide any useful bounds.

Therefore, the portion of the plane in the first octant does not have any boundaries in the x-y plane that define a finite area. As a result, the surface integral and, consequently, the flux of the vector field through this portion of the plane cannot be calculated.

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Answer:

$6.60

Step-by-step explanation:

11 x .40 = 4.4

11 - 4.4 = 6.6

Answer:

Your awnser is 6.6

Step-by-step explanation:

Have a great day! :D

PLz mark Brainlest

The hike between the pictures will be 22.32 miles.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that along a hike, Jon takes 6 pictures. He takes 1 picture at equal distances along the 3.72-mile trail.

The hike will be calculated as:-

Hike = 6 x 3.72

Hike = 22.32 miles

Hence, the hike will be 22.32 miles between the pictures.

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Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.