If 3x + 7 = 20, what is 3x + 10?

The unit cost of all kinds of apples is $1.75 per apple thus it will be a linear function and the slope will be the same.

A linear function can be used to depict a straight line on the coordinate plane.

A linear function has the formula f(x) = ax + b, where a and b are real numbers.

As per the given,

Login buys 4 pounds (lb) and pays $7:00.Lin buys 6 lb and pays $10.50. Chita buys 2 lb and pays 3:50.

Unit cost = $7/4 = $1.75 per apple

Unit cost = $10.5/6 = $1.75 per apple

Unit cost = $3.50/2 = $1.75 per apple

Since the unit cost is the same and the unit cost represents the slope thus the graph will be a linear line as given below.

Hence "Since all varieties of apples cost $1.75 each, the function will be linear and have the same slope.".

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The shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.

The non-empty intersection of a solid body in three dimensions with a plane, or its equivalent in higher dimensions, is referred to as a cross section in geometry and science. Many parallel cross-sections are produced when an object is sliced. The boundary of a cross-section in three dimensions that is parallel to two of the axes, that is, parallel to the plane determined by these axes, is sometimes referred to as a contour line.

A triangle-shaped pyramid essentially has a triangle-shaped base. The cross section formed when an imaginary line is produced to cut through perpendicular to the base will still have a triangular orientation, but it will be smaller than it was when the pyramid's original triangular orientation or sides were there.

Therefore, the shape of the cross section of a triangular pyramid sliced by a plane that is perpendicular to its base is triangle.

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Answer: it equals 7/24 for 1/4 + 1/24 but where is n in the equation? if u tell me i can give the answer again

Step-by-step explanation:

The correct answer is option D, which states tan∝ = 1/2

What is Trigonometry

The field of mathematics concerned with the relationships between triangle sides and angles, as well as the pertinent functions of any angles is Trigonometry.

Solution:

we are given that tanθ = 1/2

this implies θ = 45°

We know that the sum of all interior angle of triangle is 180°

so, it can be calculated that the value of

angle ∝ = 45°

Therefore, tan∝ = 1/2

The correct answer is option D, which states tan∝ = 1/2

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The amount of investment after compound interest will be $8183.24.

Compound interest is the addition of interest to the principal sum of a loan or deposit or interest on interest plus interest.

In finance and economics, interest is the payment of an amount above the repayment of the principal sum by a borrower or deposit-taking financial institution to a lender or depositor at a specific rate by a borrower or depositor. It differs from a fee that the borrower may pay to the lender or a third party.

The formula calculates compound interest is calculated by the formula,

[tex]A=P(1+\dfrac{r}{100})^{nt}[/tex]

Here,

A = Amount

P = Principle amount

r = rate of interest

n= Number of times amount compounded

t = time

The compounded amount will be calculated as,

A = 5575 ( 1 + 0.0325 )¹²

A = 5575 x 1.4678

A = $8183.24

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On calculating, the 40% of 84 is found to be 33.6.

Given is that to find the 40% of 84.

Assume that the 40% of 84 is equivalent to [x]. Then, we can write -

x = (40/100) x 84

x = 4/10 x 84

x = 8.4 x 4

x = 33.6

Therefore, on calculation, the 40% of 84 is equivalent to 33.6.

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The amount paid for meal is obtained as $18.19.

A percentage is a value that indicates 100th part of any quantity.

A percentage can be converted into a fraction or a decimal by dividing it by 100.

Given that,

The price of the meal is $20.

The percent discount is 15%.

And, the percent tax is 7%.

Now, the final amount paid can be calculated as follows,

(20 - 15% of 20) + 7% of (20 - 15% of 20)

= (20 - 15/100 × 20) + 7/100 × (20 - 15/100 × 20)

= 17 + 7/100 × 17

= 17 + 1.19

= 18.19

Hence, the amount paid by the father for meal is $18.19.

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The numbers of  $0.02 stamps and numbers of $0.41 stamps, if Maria spent $12.50 at the post office. Three times as many $0.41 stamps were purchased by her as $0.02 stamps are 10 and 30 respectively.

The equals sign is used in equations to indicate the equality of two expressions in a formula.

Given:

Maria spent $12.50 at the post office. She bought three times as many $0.41 stamps as $0.02 stamps.

Write the equations as shown below,

3x = y  and 0.02 x +  0.41 y  = 12.5

Here, x = number of 0.02 stamps and y = number of 0.41 stamps.

Solve the equation by substituting the value of x,

x = 10 and y = 3 × 10 = 30

As a result, there are 10 and 30 $0.02 stamps and $0.41 stamps, respectively.

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The value of the equation A = n³ ( 2n )⁻² is given by A = ( n / 4  )

What are the laws of exponents?

When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.

The different Laws of exponents are:

mᵃ×mᵇ = mᵃ⁺ᵇ

mᵃ / mᵇ = mᵃ⁻ᵇ

( mᵃ )ᵇ  = mᵃᵇ

mᵃ / nᵃ = ( m / n )ᵃ

m⁰ = 1

m⁻ᵃ = ( 1 / mᵃ )

Given data ,

Let the equation be represented as A

Now , the value of A is

A = n³ ( 2n )⁻²

On simplifying the equation using the laws of exponents , we get

The value of A = n³ / ( 2n )²

Taking the powers to the value of 2n , we get

The value of A = n³ / 4n²

On dividing the numerator and denominator by n² , we get

The value of A = n / 4

Therefore , the value of A = n / 4

Hence , The value of the equation A = n³ ( 2n )⁻² is given by A = ( n / 4  )

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The solution of which of the following equations is neither a fraction nor an integer

C. 5x-8=x-4

An assignment of values to the unknown variables that establishes the equality in the equation is a solution. In other terms, a solution is a value or set of values (one for each unknown) that, when used in place of the unknowns, transform the equation into an equality.

5x-8=x-4

4x=-12

x=-3

hence the integer is -3.

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Answer:

Step-by-step explanation:

-4(-x-8)

= (-4)(-x+-8)

= (-4)(-x)+(-4)(-8)

= 4x+32

This type of design is termed as Non-Equivalent Control Group Design

What is Experimental Mathematics?

The study of mathematical objects through computation in order to discover their properties and patterns is known as experimental mathematics. According to one definition, it is "that branch of mathematics that ultimately deals with the codification as well as transmission of insights inside the mathematical community by means of experimental (in the Galilean, Baconian, Aristotelian, as well as Kantian feeling) exploration of conjectures and much more informal beliefs as well as a careful analysis of the information acquired in this pursuit." "Mathematics is not really a deductive science—a that's cliché," said Paul Halmos. You wouldn't just list this same hypotheses and begin to reason when attempting to prove a theorem. You work through error, trial and error, experimenting, and conjecture.

Solution:

This type of design is termed as Non-Equivalent Control Group Design

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The rules AAS, ASA, SSS and SAS are congruence rule of triangle  and the each rules has been explained

The rules AAS, ASA, SSS and SAS are congruence rule of triangle

SSS rule is side-side-side rule, it states that if three sides of the one triangle and three sides of the other triangles are equal, then both triangles are congruent

SAS rule is side-angle-side rule, it states that if two sides and one included angles between the sides of the one triangle is equal to  the two sides and one included angles between the sides of the other triangle, then both triangles are congruent

ASA rule is angle-side-angle rule, it states that if two angles and one included side between the angle of the one triangle is equal to the two angles and one included sides between the angles of the other triangle, then both triangles are congruent

AAS rules is angle-angle-side rule, it states that if two angles and one non included sides of the one triangle is equal to the two angles and one non included sides of the another triangle, then both triangles are congruent

Therefore, the AAS, ASA, SSS and SAS are the rules of congruence of the triangle

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The rate of change of the linear function represented by the table is a = 4.

A general linear function is written as:

f(x) = a*x + b

Where a is called the slope and is also the rate of change of the function, and b is the y-intercept.

If we know two points on the line, (x₁, y₁) and (x₂, y₂), then the rate of change can be computed with the following formula:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a table with some points on that line, we can use any two we want.

For example, I will use the first two, these are:

(-4, -21) and (-3, -17)

Then the rate of change of the linear function is given by:

a = (-17 + 21)/(-3 + 4) = 4/1 = 4

The rate of change is a = 4.

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This is False in light of the stated statement. Due to the employment of a regression line to calculate the mean of y for x that are outside the x-range of the data.

How is regression calculated?

Y = mX + b, where X is the predictive (independent) factor, m is really the approximately slope, and b is the expected intercept, is the methodology for simple linear regression.

The relationship between scattered data points in any set is shown by a regression line. When there is a linear pattern, it displays the relationship between the dependent y variable and independent x variables.

The correlation between the independent variables (IVs) and the dependent variable is described by a linear regression equation (DV). The DV for the IV values you indicate can also be predicted for new values.

Hence we get the required answer.

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The cost of the labor per hour is 115 hours.

The equation is going to be:

4.25x + 167 = 655.75

your x is going to be:115

The duration was 4.25 hours.

The parts cost 167.

Cost in full: 655.75

so the price per hour is x.

As a result, when you write your equation, the total number of hours (multiplied by the cost per hour) will be added to the cost of the parts, and the sum of these two amounts will be your total cost.

In order to solve the problem, you must deduct the cost of each component from the total cost. This should give you the following result: 4.25x = 488.75

After that, divide 4.25 by each side as you normally would.

The cost of labor per hour follows. 115

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The statistical test in which the mean difference between two groups is compared to a distribution of differences between means is known as the t-test.

The one-way analysis of variance (ANOVA) is the suitable procedure in place of the t-test for a comparison of more than two group means. The ANOVA is interested in the locations of the distributions indicated by means as well since it has the same underlying assumptions as the t-test.

ANOVA is used to compare the means among three or more groups, while the Student's t-test is used to compare the means between two groups. First receives a shared P value in an ANOVA. The ANOVA test results with a significant P value for at least one pair where the mean difference was statistically significant.

From the above theory, the test specified above is termed as the t-test.

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The curve that passes through the point (1,1) with a given slope is a line.

1. The equation of a line can be determined using the point-slope form of the equation, which is y - y1 = m(x - x1).

2. For the given point (1,1) and slope, the equation of the line is y - 1 = m(x - 1).

3. Substituting the given slope m for the equation, we get y - 1 = m(x - 1).

4. Simplifying the equation, we get y = mx - m + 1.

5. The equation of the line can also be written in the general form of the equation of a line, which is y = mx + b.

6. Substituting the given slope m and the y-intercept b = -m + 1, the equation of the line can be written as y = mx - m + 1.

7. The slope of the line can be determined by calculating the rise (change in y-coordinate) over the run (change in x-coordinate).

8. For the given point (1,1) and another point (x2, y2), the slope can be calculated using the formula m = (y2 - y1)/(x2 - x1).

9. For example, if the second point has coordinates (3, 4), the slope of the line can be calculated as m = (4 - 1)/(3 - 1) = 3/2.

10. The equation of the line can then be determined using the point-slope form of the equation, which is y - y1 = m(x

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The four types of slope lines are positive, negative, zero and undefined.

Slope is the term that measure the extent of steepness of any figure or any curve. If we want to find the equation of the line, then the slope is the most useful term. The general formula for determining the slope between two points (x₁, y₁) and (x₂, y₂) is expressed as

m = (y₂ - y₁)/(x₂ - x₁) where m is the slope .

There are generally four types of slope.

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The measure of the vertex X in the given triangle XYZ is 90°  .

In the question ,

it is given that ,

that there is a triangle XYZ ,

and the measure of vertex Y is 45° and vertex Z is 45° ,

By Applying the Angle Sum Property of triangle ,

measure of angle X + angle Y + angle Z = 180°

So , X  + 45° + 45° = 180

Adding the terms ,

X + 90° = 180°

Subtracting 90° from both sides of the equation ,

we get,

X = 180° - 90°

X = 90°

Therefore , the measure of the vertex X is 90° , so the triangle XYZ is a right triangle .

The given question is incomplete , the complete question is

What is the measure of the vertex X of the triangle XYZ which have ∠Y = 45°  and ∠Z = 45° ?

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Answer:

x=2599200

Step-by-step explanation:

38000/x=100/6840

(38000/x)*x=(100/6840)*x       - we multiply both sides of the equation by x

38000=0.014619883040936*x       - we divide both sides of the equation by (0.014619883040936) to get x

38000/0.014619883040936=x

If E is between D and F, then DE = DF - EF.

If BD divides ABC into two angles, ABD and DBC, then mABC = mABC mDBC.

1. Given: E is between D and F

Prove: DE = DF - EF.

Since ,E is between D and F Given

D, E, and F are collinear points, and E is on ¯DF Definition of between

        Statements          Reasons

2.If BD divides ABC into two angles, ABD and DBC, then mABC = mABC -   mDBC.

Given: BD divides ABC into two angles, ABD and DBC

Prove: mABD = mABC - mDBC.

 Statements                                  Reasons

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Answer:

Step-by-step explanation:

Productivity is referred as the formula for the outputs divided by inputs in a given specified period of time.

All created products and services are considered as outputs. Along with labor, inputs also include capital, supplies, and energy. A common definition of productivity is the ratio of input volume to output volume. In other words, it assesses how effectively an economy uses labor and capital as production inputs to create a particular amount of output.

The simplest productivity calculation yields a straightforward ratio: Total output divided by total input is productivity. By dividing total output by total input, the labor productivity equation can be used to calculate employee productivity. Let's say your business spent 1,500 labor hours to produce $80,000 worth of goods or services (input). To determine the labor productivity of your business, divide 80,000 by 1,500, which results in the number 53.

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Answer: 810

Step-by-step explanation:

The required slope of a line perpendicular to the line is -1/6.

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

The slope of a line can be used to gauge how steep it is.

The slope is theoretically determined as "rise over run" (change in y divided by change in x).

So, we have the equation:

3x+18y=-486

Now, get the slope as follows:

3x+18y=-486

18y = -3x - 486

Tale 18 common:

y = -1/6x - 60.75

Therefore, the required slope of a line perpendicular to the line is -1/6.

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A term denotes a mathematical object while a formula denotes a mathematical fact

A binomial is a polynomial that is the sum of two terms, each of which is a monomial.

A variable is a symbol and placeholder for any mathematical object.

A single mathematical expression is referred to as a term. It could be a single number (positive or negative), a single variable (a letter), or a combination of variables multiplied but never added or subtracted. Variables with a number in front of them are used in some terms. A coefficient is the number that appears in front of a term.

A variable in mathematics is a symbol and placeholder for any mathematical object. A variable could also specifically represent a number, a vector, a matrix, a function, a function's argument, a set, or an element of a set.

A binomial is a polynomial in algebra that is the sum of two terms, each of which is a monomial. After monomials, it is the most basic type of sparse polynomial.

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Answer:

There’s 3 starfish and 9 seashells.

Step-by-step explanation:

3 x _ = 9

9 / 3 = 3

3 starfish

Answer:

rise/run

Step-by-step explanation: