The sum of two numbers is 15. When three times the second number is subtracted from four times the first number,

the result is 4.

Enter the greater number of the two missing variables.

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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The slope of the line that passes through (6, 1) and (10, 8) is 7 / 4.

The slope of a line is the change in dependent variable with respect to the change in the independent variable. The slope of a line is rise over run.

In other words, the slope of a line is a measure of its steepness.

Hence, let's find the slope of the line that passes through (6, 1) and (10, 8).

Therefore,

slope = Δy / Δx

slope = y₂ - y₁ / x₂ - x₁

x₁ = 6

x₂ = 10

y₁ = 1

y₂ = 8

Therefore,

slope = 8 - 1 / 10 - 6

slope = 7 / 4

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Answer: 7/4 is the slope

Answer:

B

Step-by-step explanation:

Integers are like whole numbers, but they can also be negative.

Some examples of integers are -1, 2, 5 etc.

The maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

Acceleration is directly proportional to the force acting on an object. In simple terms, if the force on an object is greater, then it will undergo more acceleration. However, there are limitations to the acceleration that can be tolerated by the human body. At about 5 g (49.0 m/s2) for more than a few seconds, an average person starts to lose consciousness. Let's use this information to answer the given question.

Let the maximum burn rate |ΔM/Δt| that the engine could reach before the ship's acceleration exceeded 5 g be x.

Let the mass of the spaceship be m and the exhaust speed of the engine be v.

Using the formula for the thrust of a rocket,

T = (mv)e

After substituting the given values into the formula for thrust, we get:

T = (3.00 × 104)(2.50 × 103) = 7.50 × 107 N

Therefore, the acceleration produced by the engine, a is given by the formula below:

F = ma

Therefore,

a = F/m= 7.50 × 107/3.00 × 104= 2.50 × 103 m/s²

The maximum burn rate that the engine could reach before the ship's acceleration exceeded 5 g is equal to the acceleration that would be produced by a maximum burn rate. Therefore,

x = a/5g= 2.50 × 103/(5 × 9.8)≈ 51.0 kg/s

Therefore, the maximum burn rate ∣ΔM/Δt∣ that the engine could reach before the ship's acceleration exceeded 5 g and its human occupants began to lose consciousness is approximately 51.0 kg/s.

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Answer:

0.11

Step-by-step explanation:

The amount that would be Senja's taxable income would be = $38,700

This is the total income of an individual after the removal of discounts and exemptions from which such is expected to pay a certain percentage of tax.

The amount she earns a year = $46,200

Lat years total deductions = $2,900.

Deductions for business expenses = $5,000

Deductions for medical expenses = $2,500.

The total deductions for this year = $7,500

Therefore, the amount this year that is taxable income for Senja = $46,200 - $7,500 = $38,700

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Correlation analysis is mostly used to determine whether a cause-effect relationship exists between two variables.

We have,

A statement to check which analysis is used by researcher,

So,

We know that,

The experimental method is the only method to attribute a cause and effect relationship as the researcher will hold one variable constant and 'experiment' with the other variable to see the effect.

Hence this is not upto the mark of given statement.

Now,

Regression analysis is used to determine the effect of one variable on the other.

Now,

We also know that,

Correlation analysis is mainly conducted by a researcher to determine whether a relationship exists between variables or not.

So,

The above mentioned statement satisfy the given statement.

Hence, we can say that the Correlation analysis is mostly used to determine whether a cause-effect relationship exists between two variables.

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Answer:

x=-4, y=-1

Step-by-step explanation:

Given the following system of equations, solve the system using elimination.

\(\left \{ {{-2x-y=9} \atop {2x-9y=1}} \right.\)

(1) - Add the equations together

\(\left\begin{array}{ccc}&-2x-y=9\\+&2x-9y=1\end{array}\right\\\\\Longrightarrow -10y=10\\\\\therefore \boxed{y=-1}\)

Notice how the x term was eliminated, hence the name for this method is "elimination."

(2) - Take the value we just found for y and plug it into either of the two equations and solve for x

\(2x-9y=1\\\\\Longrightarrow 2x-9(-1)=1\\\\\Longrightarrow 2x+9=1\\\\\Longrightarrow 2x=-8\\\\\therefore \boxed{x=-4}\)

(3) - Thus, the system is solved. When x=-4, y=-1.

The angle between the stick and the base of the box is 77. 9 degrees

To determine the angle between the stick and the base, we have to know the trigonometric identities.

These identities are;

From the information given, we have;

sin A = FB/AB

Given that;

GB = 14.5cm

AB = 18. 6cm

substitute for the length of the sides, we have;

sin A = 14.5/18. 6

Divide the values, we have;

sin A = 0. 7796

Find the inverse sine

A = 77. 9 degrees

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Answer:

on the fordt one its the sake imagine but reflected on a differemt angle and different on the dots is its building uo mord on second one

The least amount of money he could pay for the conditions that he will for the given information is = £ 3053.4

What about least amount?

In mathematics, the term "least amount" is not commonly used. However, a similar term that is often used is "minimum".

The minimum value of a set of numbers or a function is the smallest value within that set or function. For example, if we have the set of numbers {2, 5, 7, 8, 10}, the minimum value is 2.

Similarly, in the context of optimization problems, we often seek to find the minimum value of a function to achieve the best possible outcome. This can involve finding the minimum value of a cost function in order to minimize the cost of a process, or finding the minimum value of a profit function to maximize the profit of a business.

According to the given information:

Set the number of party bags pack as x , toy pack as y

Since, 105 party bags in a pack , £1.32

84 toys in a pack £4.15.

Hence, 105x = 84y , cost = 105x × 1.32x + 84y × 4.15 = 763.35x

Find the least common multiple

Hence, 84 × 5 = 420 , 105 × 4 = 420

x  =4

y =5

least cost = 105 × 1.32 × 4 + 84×4.15 ×5

= £3053.4

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Step by Step Explanation:

R=V/I

R=12/4=3

so i =V/R

i=18/3

i=6 ans.

The congruency of a triangle is not determined by SSA. As a result, choice C is the right response.

What is a triangle and the response?

Triangles are a particular kind of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here.

                    Three-sided polygons include triangles. Three triangle angles added together equal 180 degrees.

The sides (S) and angles (A) of two triangles are said to be congruent if they are equal.

The triangle must meet the SAS, ASA, SSS, and RHS criteria in order to be congruent.

The congruency of a triangle is not determined by SSA. As a result, choice C is the right response.

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Answer:

1. Increased

2. 70%

Step-by-step explanation:

The trend show that the percentage of the people in the town (Using coffee shop) increased during the period.

Prediction will be 70% users

Answer:

8.37

Step-by-step explanation:

dont know but i know this is correct!

Answer:

The answer is R is neither reflexive, nor symmetric, nor

transitive.

Step-by-step explanation:

Let A = {1, 2, 3, 4, 5, 6}.

A relation R is defined on set A as:

R = {(a, b): b = a + 1}

R = {(1, 2), (2, 3), (3, 4), (4, 5), (5, 6)}

We can find (a, a) ∉ R, where a ∈ A.

For instance,

(1, 1), (2, 2), (3, 3), (4, 4), (5, 5), (6, 6) ∉ R

R is not reflexive.

It can be observed that (1, 2) ∈ R, but (2, 1) ∉ R.

R is not symmetric.

Now, (1, 2), (2, 3) ∈ R

But, (1, 3) ∉ R

R is not transitive

Thus, R is neither reflexive, nor symmetric, nor transitive.

Answer:

Step-by-step explanation:

Expanding the expression (g+h)(p+q-r) using the distributive property, we get:

(g+h)(p+q-r) = g(p+q-r) + h(p+q-r)

Now, applying the distributive property again, we can simplify this expression to:

(g+h)(p+q-r) = gp + gq - gr + hp + hq - hr

Therefore, the expression (g+h)(p+q-r) is equivalent to:

gp + gq - gr + hp + hq - hr

Answer:

Answer A is correct

Step-by-step explanation:

4 (-15 - 3p ) - 4 (-p + 5 )

First, solve the brackets.

-60 - 12p + 4p - 20

Combine like terms.

- 80 - 8p

∴ - 8p - 80

The quality of milk reaching the ultimate consumer is largely determined at the plant, where processing and handling occurs. a

Once milk is collected from the farm, it is transported to processing plants where it undergoes a series of treatments to ensure that it is safe for consumption.

This includes pasteurization, homogenization, and standardization.
The pasteurization process involves heating the milk to a specific temperature for a certain amount of time to kill harmful bacteria.

Homogenization helps to evenly distribute the milk's fat content, while standardization ensures that the milk meets certain regulatory requirements for fat content and nutritional value.
The plant, milk undergoes rigorous quality control testing to ensure that it meets certain standards.

This includes testing for bacterial count, somatic cell count, and antibiotic residue.

Any milk that fails to meet these standards is discarded.
The USDA and FDA also play a role in ensuring that milk reaching consumers is of high quality.

The USDA sets standards for milk production, while the FDA regulates the use of antibiotics and other drugs in milk production.

The primary responsibility for ensuring milk quality rests with the processing plant.
The USDA and FDA do play a role in ensuring the quality of milk reaching consumers, the majority of the responsibility lies with the processing plant.

It is at the plant where the milk undergoes treatments to ensure that it is safe for consumption and undergoes rigorous quality control testing to meet certain standards.

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Answer:

Step-by-step explanation:

use this formula to plug in the points, If we have coordinates (x₁,y₁) and (x₂,y₂), then the midpoint of these coordinates is determined by (x₁ + x₂)/2, (y₁ + y₂)/2

20. W( 9.5, 5.5)

22. V( 0.5, -6)

24. J( -8.4, -5.6)

26. ( -0.5, 0.5)

Answer:

Option B, 3/4

Step-by-step explanation:

Coordinates (-2, -2} and (2,1)

Slope = ∆y/∆x = (y2 - y1)/(x2 - x1)

= (1-(-2))/ (2-(-2)

= (1+2)/(2+2)

= 3/4

Answer:

180

Step-by-step explanation: You could of looked it up I did

Answer:

Between Chocolate and Banana

Step-by-step explanation:

Theoretically, I think the experimental probability differs the most between chocolate ice cream flavor and banana ice cream flavor because out of the people surveyed, most people love chocolate and the least love banana.

The computed value of equation for the line between (4,5,6) and (1,0,-3) in R³, (x, y,z) = (4,5,6) + (1,0,-3) and the midpoint between the two points is equals to the \( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \).

We have to determine the equation for the line between (4,5,6) and (1,0,-3) in R³. Equation is written as (x, y,z) = (4,5,6) + (1,0,-3). The midpoint is equals to middle point of a line segment. It is equidistant from both endpoints. The midpoint can be found with the formula, \((x, y, z) = (\frac{x_1 + x_2}{2}, \frac{y_1 + y_2}{2}, \frac{z_1 + z_2}{2})\)

Here (x₁, y₁ , z₁) and (x₂, y₂, z₂) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points. Here,

x₁ = 4, y₁ = 5, z₁ =6 and x₂ = 1, y₂=0, z₂ = -3, Substitute all known values in above formula, \((x, y, z) = (\frac{4+1}{2}, \frac{5+ 0}{2}, \frac{6+ (-3)}{2}). \)

=\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)

Hence, required value of midpoint is

\( (\frac{5}{2}, \frac{5}{2}, \frac{3}{2}). \)

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Answer:

The additional cost is $0.12 for each additional mile the van is driven ⇒ D

Step-by-step explanation:

The form of the linear function is

f(x) = m x + b, where

m is the rate

b is the initial value

In our question

The function C(d) = 0.12 d + 25 represents the cost C in dollars of the rental van uses for d miles

→ Compare it with the form of the linear function above

∴ m = 0.12

∴ b = 25

∵ The cost C depends on the number of miles d

∴ $0.12 is the cost per mile ⇒ additional cost for each additional mile

∴ $25 is the initial cost ⇒ initial cost of the moving the van

The interpretation of the slope for this function is:

The additional cost is $0.12 for each additional mile the van is driven

Answer:

+0.12

Step-by-step explanation:

The additional cost is 0.12 cents for each additional mile the van is being driven.

Use the form  a  sin  ( b x − c ) + d  to find the amplitude, period, phase shift, and vertical shift.

Amplitude:   100

Period:  π /  25

Phase Shift:  2 /5  (  2 /5  to the right)

Vertical Shift: 0

You want to find Pr[-2 < Z < -1].

The table tells you that

• Pr[Z < 0] = 0.5000

• Pr[Z < 1.00] = 0.8412

• Pr[Z < 2.00] = 0.9772

• Pr[Z < 3.00] = 0.9987

We have

Pr[-2 < Z < -1] = Pr[Z < -1] - Pr[Z < -2]

(because the distribution of Z is continuous)

… = Pr[Z > 1] - Pr[Z > 2]

(by symmetry of the distribution about its mean)

… = (1 - Pr[Z < 1]) - (1 - Pr[Z < 2])

(by definition of complement)

… = Pr[Z < 2] - Pr[Z < 1]

… = 0.9772 - 0.8412

… = 0.1360 ≈ 0.14 … … … (B)

Answer:

it's B aka 0.10.14

Step-by-step explanation:

The area of land the charity planted was 17000 m². The charity met its target

An equation is an expression that is used to show how numbers and variables are related using mathematical operators

1 km = 1000 m

1 km² = 1000000 m²

An environmental charity set a target to plant trees on 9000 m² of land in September.

In September, it planted trees on 0.017 km² of land. Hence:

Area of land planted = 0.017 km² * 1000000 m² per km² = 17000 m²

17000 m² is greater than 9000m². The charity met its target

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the probability that Steven will select a table-tennis ball with a "1" written on it and also a table-tennis ball with a "B" written on it is approximately 0.2679, or 26.79%.

To find the probability that Steven will select a table-tennis ball with a "1" written on it and also a table-tennis ball with a "B" written on it, we need to know how many table-tennis balls with "1" and "B" there are and the total number of table-tennis balls.

The probability of Steven selecting a "1" on his first pick is:

P(1 on first pick) = 3/8

The probability of Steven selecting a "B" on his second pick, given that he has already selected a "1", is:

P(B on second pick | 1 on first pick) = 5/7

The probability of Steven selecting a "1" and a "B" in sequence is the product of these two probabilities:

P(1 and B) = P(1 on first pick) * P(B on second pick | 1 on first pick)

= (3/8) * (5/7)

= 0.267857

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