The sum of two (2) prime numbers is 85. What is the product of these two prime numbers?

The dotted line represents that the region is strictly less than the equation of the line.

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way.

The symbol a < b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

a is less than or equal to b when a notation like a ≤ b.

a is bigger or equal value of an is indicated by the notation a ≥ b.

The dotted line shown in the graph and the yellow region described by the equation of a line is the region that is strictly less than the given line.

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Answer:

x = -1

Step-by-step explanation:

First of all, we must find the value of what's inside the parentheses.

14 ÷ -2/3 =

14/1 x -3/2 = -42/2 = -21

That means the equation is now:

-21 = 6x - 15

+15        +15

-6 = 6x

-1 = x

Answer:

1. (A.)

2.(D.)

3.(D.)

4.(A.)

5.(A.)

6. (B.) & (D.)

7. (A.), (D.)

Step-by-step explanation:

Trust

Answer:

18

Step-by-step explanation:

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Answer:

If the x is a Times then its 18 but if its not its 3x4+6

Step-by-step explanation:

The unit rate is 2 servings per package

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

Packages Servings

3                 6

13.5             27

The unit rate is calculated as

The unit rate = Servings/Packages

Substitute the known values in the above equation, so, we have the following representation

The unit rate = 6/3

Evaluate

The unit rate = 2

Hence, the unit rate is 2

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answer:

b=-3

step-by-step explanation:

the equation's format is y=mx+b so b is -3. you can also figure this out if you plug y in as 0. hope that helps!

Answer:

Right and Left: Negative Infinity

Even Function

Negative Leading Coefficient

Step-by-step explanation:

First of all, both ends of the graph go down to negative infinity. As a result of this, we can determine that the sign of the leading coefficient was also negative. The graph is even because it shifts directions thrice and both ends of the graph go in the same direction.

Answer:

8

Step-by-step explanation:

12 is quartile 1 and 20 is quartile 3. 20 - 12 = 8

Answer: 8

Step-by-step explanation:

Answer:

His profit would be (-20)*3 or -60 $

Step-by-step explanation:

First month profit = -20 $

if the next three months will be the same, then:

(-20)*3

-60 $

Answer from left to right: 48, 80, 4.5, 160

Step-by-step explanation:

Therefore, the solution to given problem is the density of metal block comes out to be 2717.4 kg/[tex]m^{3}[/tex]

The substance's density is defined as its mass per unit of volume. Although the Latin letter D can also be utilized, the most popular density symbol is. In mathematics, density is calculated as mass divided by volume:

Here,

Given : mass =5kg

volume = 1.84 x [tex]10^{-3}[/tex]

thus, density = mass/volume

we apply density formula , we get

density = 5/ 1.84 x [tex]10^{-3}[/tex]

density =2717.4 kg/[tex]m^{3}[/tex]

Therefore the density of metal block comes out to be 2717.4 kg/[tex]m^{3}[/tex]

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To view the representation of graph of check the attached image.

Given that ;

Stewart's overdue assignment = 36

Per day he complete 4 overdue assignments.

To find : In how many days he complete all the overdue assignments

To complete 36 overdue assignments = 36/4

                                                                = 9 days

Therefore, In 9 days he complete all the overdue assignments

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Answer:

∠ GFC = 70°

Step-by-step explanation:

∠ BFE and ∠ CBF are alternate angles and are congruent, that is

∠ BFE = 37°

∠ BFE , ∠ BFC and ∠ GFC lie on a straight line and sum to 180° , then

37° + 73° + ∠ GFC = 180°

110° + ∠ GFC = 180° ( subtract 110° from both sides )

∠ GFC = 70°

The equation that defines the graph y=x³ after it is shifted vertically 5 units down and horizontally 4 units left is y =( x + 4 )³- 5.

A function is truly equal to its graph in the modern mathematical foundations and typically in set theory. However, it is frequently helpful to think of functions as mappings, which include not just the relationship between input and output but also the sets that make up the domain and codomain. For instance, it is important to consider the codomain while determining whether a function is onto (surjective) or not.

For k=- 5, y=f(x) + k represents a vertical shift down.

For h=4, the horizontal shift left is y=f(x+h).

Therefore, the equation that defines the graph y=x³ after it is shifted vertically 5 units down and horizontally 4 units left is y =( x + 4 )³- 5.

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Answer:

15

Step-by-step explanation:

To find the total number of combinations you can make with these four coins, we have to do 2 to the power of the total amount of coins. This because each coin has two choices: to be included in the combination or not. There are 4 total coins, and 2^4 is 16. There are 16 total combinations. But since one of those possibilities are that none of the coins are included, we subtract 1 from the total, and get 15. There are 15 combinations with 1 or more coins, which each give us different amounts.

Yes, there are many rational numbers that can be plotted between 1/2 and 2/3 on the number line. Here are a few examples:

1/2 + 1/6 = 5/6: This rational number is greater than 1/2 and less than 2/3.

2/5: This rational number is also greater than 1/2 and less than 2/3.

1/3: This rational number is halfway between 1/2 and 2/3.

To plot a rational number on a number line, you can start by drawing the number line and marking off the positions of 1/2 and 2/3. Then, you can locate the position of the rational number you are trying to plot by dividing the distance between 1/2 and 2/3 into equal segments and finding the position of the rational number within those segments. For example, if you wanted to plot 5/6, you could divide the distance between 1/2 and 2/3 into six equal segments, and then mark the fifth segment as the position of 5/6 on the number line.

We infer that x and y's relationship is a non-linear function as a result. The relationship between x and y is a non-linear function.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Four main categories can be used to classify different sorts of functions. One to one function, many to one function, onto function, one to one and into function—all based on the element.

Here,

Edge Length, x            Surface Area, y

1                                             6

2                                            24

3                                            54

4                                             96

Because each input value has one and only one output value, the data in the table unmistakably indicate a function. In other words, the x values are not repeated.

Additionally, it is evident from the table numbers and the graph that the function is not linear because the graph is not a straight line. Additionally, the largest power over the x variable(s) in a cubic function is 3. It is not a linear function, therefore.

As a result, we draw the conclusion that x and y's relationship is a non-linear function.

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The answer to this Question based on probability is discussed below

What is probability of a event?

It is just defined as number of favourable outcomes divided by the total number of outcomes.

Solution:

First of all we need total number of events here as we know probability of sample space is 1 only. hence lets assume there are P elements in sample space and Solving more than number of expected puzzles in 5 minutes is 1 favourable case.

Hence probability will be 1/P where P is no of elements of sample space.

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The measure of the angle ∠SRW will be 95°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

2 converging lines are shown. A line with focuses TRW converges a line with focuses SRV at point R. The angle ∠TRV is 95 degrees.

The angle ∠TRV and the angle ∠SRW are opposite angles. Then we have

∠TRV = ∠SRW

∠SRW = 95°

The measure of the angle ∠SRW will be 95°.

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Answer:

£212.5

Step-by-step explanation:

15% of 250 = 37.5

250 - 37.5 = 212.5

By using slope of a curve, it can be calculated that

This information cannot be estimated by a single linear model

What is slope of a curve?

Slope of a curve at a point is the tangent of the angle that the tangent to the curve at the point makes with the positive direction of x axis.

The sale of the board game is as follows-

After 12 months, they sold 4 thousand games; after 18 months, they sold 7 thousand games; and after 36 months, they sold 15 thousand games.

The curve passes through (12, 4000), (18, 7000) and (36, 15000)

Slope of curve passing through  (12, 4000) and (18, 7000) = [tex]\frac{7000 -4000}{18 -12}[/tex] = 500

Slope of curve passing through  (18, 7000) and (36, `15000) = [tex]\frac{15000-7000 }{36 -18}[/tex] = [tex]\frac{4000}{9}[/tex]

As the slope is not the same, this information cannot be estimated by a single linear model

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-28 is the standard form of the equation.

Ax+By=C is the formula for a linear equation. You must place the x and y on the same side of the equal sign and the constant on the other side in order to convert an equation in slope-intercept form (y=mx+b) to standard form. Terms can be moved using inverse procedures.

The standard form of a linear equation is

Ax+By=C A x + B y = C .

y=-3/4x+7 in standard form

Multiply both sides by 4  .

4y=4(3.4x+7) 4 y = 4 ( 3 4 x + 7 ).

3x - 4y = -28

-28 is the standard form of the equation.

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Answer: yes, her luggage is under limit

Step-by-step explanation:

1 kg = 2.2 pounds

Take 55 divided by 2.2 = 25 kg

25 < 30

Her luggage is under the limit

The converse of statement is “If dangerous to your health then walking in front of a moving car”.

The inverse of statement is “If not dangerous to your health then not walking in front of a moving car”.

The contrapositive of statement is “if not walking in front of a moving car then not dangerous to your health."

The definition of a conditional statement refers to its two essential parts, the hypothesis (if) and the conclusion (then).

The given conditional statement is

"walking in front of a moving car is dangerous to your health."

The converse is “If dangerous to your health then walking in front of a moving car”.

The inverse is “If not dangerous to your health then not walking in front of a moving car”.

The contrapositive is “if not walking in front of a moving car then not dangerous to your health."

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The Rate of Tax for his state is 2.3%.

What is tax rate?

The ratio at which a business or individual is taxed in a tax system is known as the tax rate. Statutory, average, marginal, and effective tax rates are some of the ways that are used to present them. The terms inclusive and exclusive can be used to present these rates when applied to a tax base.

Annual Salary of Marcus Hatfield is = $43500

His Exemption from the tax is = $2000

He pays tax on the remaining amount i.e.

$43500 - $2000 = $41500.

His contribution toward the tax is $ 954.50,

Let the Rate of tax is x, thus

[tex](\frac{X}{100} *41500) = 954.50\\ x = \frac{95450}{41500} \\x = 2.3[/tex]

Thus, the rate of tax is 2.3% of his salary.

Hence, the Rate of Tax for his state is 2.3%.

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Answer:  here is your answer

Step-by-step explanation:

(9.3 × 10^6) + (1.8 × 10^4) is 93.18E+5.

(9.3 × 106) + (1.8 × 10^4)

(9.3 × 106) + (0.018 × 10^6)

(9.3 + 0.018)× 10^6

(9.318)× 10^6

scientific notation

(93.18E+5)

Therefore, the distance between the points (-3, -6) and (5,0) is 10 units. This is option A.

A mathematical procedure called the distance formula is used to calculate the separation between two locations on a plane. The Pythagorean theorem, which asserts that the square of a distance between two locations is equal to the sum of the squares of a difference in their coordinates, is where the formula is derived from.

To utilise the distance formula, you must first have the coordinates of the two places. These coordinates are usually expressed as (x1, y1) and (x2, y2), where x1 and y1 stand for the coordinates of the first point and x2 and y2 stand for the coordinates of the second point, respectively.

d = √((x2 - x1)^2 + (y2 - y1)^2)

How to solve?

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

d = sqrt((5 - (-3))^2 + (0 - (-6))^2)

 = sqrt((8)^2 + (6)^2)

 = sqrt(64 + 36)

 = sqrt(100)

 = 10

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In exchange for a $300 million fixed commitment line of credit, your firm had agreed to pay an up-front commitment fee of .130 percent of the amount of the line.

In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). Rather than being expressed as a fraction, a percentage is a piece of a whole expressed as a number between 0 and 100. Nothing is zero percent; everything is 100 percent; half of something is 50 percent; and nothing is zero percent.

Here,

Your company had agreed to pay an upfront commitment fee equal to.13% of the line's value in exchange for a $300 million fixed commitment line of credit.

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Answer:

as u can see the pattern is going up by 7.

Step-by-step explanation: