the sum of 4 times a number and 7 is equal to 2. Translate the sentence into an equation.

The top right line has a slop of 3/2

It goes up 3 and goes to the left 2

Answer:

B

Step-by-step explanation:

Points on graph B (2,3) (4,6)

We see the y increase by 3 and the x increase by 2, which matches the slope of 3/2

So, the answer is B

The measure of the length AD will be 4cm.

What is are of triangle?

The area of a triangle is the region enclosed by its sides. The area of a triangle differs from one triangle to another depending on the length of the sides and the internal angles. Triangle areas are expressed using square measurements like m2, cm2, and in2. One right angle or two perpendicular sides are both acceptable for right triangles. They may also be known as orthogonal triangles, right-perpendicular triangles, or originally rectangular triangles. Trigonometry's foundation is formed by the relationship between the sides and other angles of a right triangle.

2 / 1= AD / 2

AD=4 cm

Hence The measure of the length AD will be 4cm.

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the value of x=-3 and y=1 by a solving equation system.

What is a System of Equations?

A system of equations in algebra is made up of two or more equations that are solved together. "A group of equations satisfied by the same set of variables are called a system of linear equations. Finding the values of the variables employed in the system of equations is the first step toward solving it. While maintaining the balance of the equations on both sides, we compute the values of the unknown variables. Finding a variable whose value makes the condition of all the given equations true is the primary goal of solving an equation system.

X+4=Y ...1

X+4Y=1 .....2

x-y=-4

x+4y=1

-5y = -5

y=1

x =-3

Hence the value of x=-3 and y=1 by a solving equation system.

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Answer:

Is 0.55 greater than 2/5?

0.55 as a fraction is 11/20

11/20 is greater than 2/5

0.55 is is greater than 2/5

Answer:

0.55

Step-by-step explanation:

Because 2/5 converted to a decimal is 0.4

Answer:

Below

Step-by-step explanation:

From hour 1 to 2 pay goes from 90 to 120   or 30 dollar increase per hour

slope = rise / run =  (120-90) / (2-1) =  30  dollar/hr

Each club can purchase 7 pizzas and the solution is viable.

Given are the system of equations as -

{C} = 12.10p + 5.25

{C} = 11.75p + 7.50

We can write the system of equations as

{C} = 12.10p + 5.25

{C} = 11.75p + 7.50

For the same amount, we will equate both the equations as -

12.10p + 5.25 = 11.75p + 7.50

12.10p - 11.75p = 7.50 - 5.25

0.35p = 2.25

p = (2.25/0.35)

p = 6.4

Therefore, each club can purchase 7 pizzas and the solution is viable.

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Answer:

Step-by-step explanation:

Kahn acadamy ahe  A and D

The function f(2020) = 200 tells us that there were 200 police officers in the year 2020.

Mathematically, an equation can be described as a statement that supports the equality of two expressions, which are connected by the equals sign “=”.

The equation f(2020) = 200 tells us that in the year 2020, there were 200 police officers in the town. The function n = f(y) gives the relationship between the number of police officers, n, and the year, y.

So, when we put in the value of 2020 for y, we get the number of police officers in that year, which is 200.

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The final equation in the system, and it can be used to solve for either x or y is x + 1.5y = 3

The pivot operation is used to solve linear equations. The operation starts by selecting a pivot element from a matrix. This pivot element is usually the first non-zero element in the first column of the matrix. The pivot element is then multiplied by a scalar to create a new equation. This new equation is then added to or subtracted from the other equations in the system to eliminate the coefficient of the pivot element. This process is repeated until the system of equations is solved.

For example, consider the following system of equations:

2x + 3y = 6

4x + 6y = 12

The first non-zero element in the first column is 2, so this will be our pivot element. To use the pivot operation, we multiply 2 by a scalar and add this new equation to the other equation. Let's use the scalar 4. This gives us:

8x + 12y = 24

Now we subtract this equation from the other equation to eliminate the coefficient of the pivot element:

2x + 3y = 6 - 8x - 12y = 24

This leaves us with:

-6x - 9y = 18

We now have an equation with only one variable. To solve for this variable, we can divide both sides by -6, giving us:

x + 1.5y = 3

This is the final equation in the system, and it can be used to solve for either x or y.

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Answer: 2/3

Step-by-step explanation:

First you multiply both numerators which equals 8

Then, you multiply the denomerators which is 24

This gives you 8/24

Since both 8 and 24 are divisible by 8, you divide them by 8 and you get 1/3

Since two negative numbers equal a positive one, the answer is positive

To create this graph, the best option for the information in two axes is "Horizontal axis: sales, in hundreds; vertical axis: dollars, in thousands " (option B)

To facilitate data analysis and observation it is recommended to have the sales on the horizontal axis (number of units sold), also known as the x-axis, and the money obtained or profit on the vertical axis or y-axis (dollars).

Considering the current data is $32,000 for 2200 lawnmowers, the best is to use thousands of dollars in the sales while using hundreds in the number of units (2200/ 100 = 22)

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Answer:

343 meters per second (3 sf)

Step-by-step explanation:

1236km/h is basically 1236km per hour.

1km = 1000 meters

1h = 60 minutes

1m = 60 seconds

Using these rules, we can convert the kilometers and hour to meters and minutes and then to seconds.

---

1236km = 1236*1000

             = 1 236 000m

---

1h --> 1 236 000m

60m --> 1 236 000m

1m --> 1 236 000/60 = 20 600m

60s --> 20 600m

1s --> 20 600/60 = 343m (3 sf)

There are 343 (3 sf) meters per second.

The scale factor of K = 10/3 represents enlargement.

Given is the scale factor of K = 10/3.

For the scale factor of {K} > 1, the dilation is enlargement and for the scale factor of {K} < 1, the dilation is reduction.

Now -

10/3 > 1

So, it represents the enlargement.

Therefore, the scale factor of K = 10/3 represents enlargement.

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The subject is about finding the joint probability of two independent events: a repair done by Bob being done correctly and a repair done by Carl being done incorrectly.

The answer was determined using the formula for joint probability: P(A and B) = P(A) * P(B), where P(A) is the probability of event A and P(B) is the probability of event B, and A and B are independent events. In this case, event A is a repair done by Bob being done correctly and event B is a repair done by Carl being done incorrectly. The probabilities of each event were calculated by using the number of correctly and incorrectly repaired cars done by each mechanic.

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The equation of the quadratic function is:

f(x) = x^2 - 11x + 6

The standard form of a quadratic function is given by:

f(x) = ax^2 + bx + c

We can find the values of a, b and c using the three points given in the question:

The x-intercepts of (-6, 0) and (0, 0) give us two equations:

f(-6) = 0 = a(-6)^2 + b(-6) + c = 36a - 6b + c

f(0) = 0 = a(0)^2 + b(0) + c = c

The point (-5, -5) gives us a third equation:

f(-5) = -5 = a(-5)^2 + b(-5) + c = 25a - 5b + c

Solving the system of three equations, we get:

a = 1, b = -11 and c = 6

Thus, the equation of the quadratic function is:

f(x) = x^2 - 11x + 6

A quadratic equation is a polynomial equation of degree 2 that can be written in the form:

ax^2 + bx + c = 0

where x is an unknown variable and a, b, c are constants. The equation can be solved to find the values of x that satisfy the equation, which are referred to as the roots or solutions of the equation. The roots can be found using methods such as factoring, the quadratic formula, or completing the square.

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Answer:

Yes, it is possible to have a triangle with angles 60°, 70°, and 50°. The sum of the angles must equal 180° in order for a triangle to be formed.

Step-by-step explanation:

Answer:

Yes.

Step-by-step explanation:

To create any possible triangle, all three angle measurements should add up to 180° and the exterior angle should also be equal to the sum of two interior opposite angles!

If we assume a power-law relation T = b×aⁿ, the linear regression that needs to be analyzed is : (d) log(T) vs log(a)  .

The Linear Regression between the two quantities do we need to analyzed is log(T) vs log(a)  because when we take the logarithm of both sides of the power-law equation,

we obtain log(T) = n × log(a) + log(b), which is a linear equation in logarithmic form.

So , By performing linear regression on log(T) vs log(a), we can estimate the values of n and log(b), and then use these estimates to obtain estimates of b and n in the original power-law equation.

The given question is incomplete , the complete question is

If we assume a power-law relation T = b×aⁿ, the linear regression between which two quantities do we need to analyze?

(a) T vs a ;

(b) log(T) vs a ;

(c) T vs log(a) ;

(d) log(T) vs log(a) .

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Answer:

2. 5/4

Step-by-step explanation:

The constant of proportionality in this proportional relationship is the ratio of y to x for any given pair of values. To find it, we can divide the y value by the x value for one of the pairs. For example, using the first pair (x = 2, y = 5/2), we can divide 5/2 by 2 to get the constant of proportionality:

(5/2) / 2 = 5/4

Metrics and data are intimately connected in the sense that metrics rely on data to function. Metrics are used to measure the performance of an organization Data is the source of information that is used to calculate metrics.

It is the raw numbers and facts that are collected, analyzed, and turned into metrics that can be used to measure performance. Data is the foundation of metrics because metrics are just a way of interpreting and organizing the data to gain insight into performance.

Without data, metrics would not exist. It is through data that metrics are able to provide an understanding of what is working and what is not. Metrics are the tool used to interpret data and make decisions that can help guide an organization or individual to success.

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Answer:

233.5

Step-by-step explanation:

1) Find the area of the rectangle

2) Find the area of the triangle

3) Find the area of the semicircle

4) Add the results together

5) Round the nearest tenth

Have a lovely day :)

Given P(-4,17), Q (1,-3), R(-9,3), S(-5,4), slope of line PQ m(PQ) = -4 and slope of line RS m(RS) = 1/4 and Both lines are perpendicular.

If two non-vertical lines in the same plane intersect at a right angle then they are said to be perpendicular. Horizontal and vertical lines are perpendicular to each other i.e. the axes of the coordinate plane.

To calculate the slope of the two lines;

Mathematically;

Slope = y2-y1/x2-x1

For PQ; slope will be;

Slope of line PQ m(PQ) = (-3-17)/(1-(-4)

Slope of line PQ m(PQ) = -20/5

Slope of line PQ m(PQ) = -4

For RS; slope will be;

Slope of line RS m(RS) = (4-3)/(-5-(-9))

Slope of line RS m(RS) = 1/4

We want to determine the relationship between the two lines.

The product of both is 1/4 * -4 = -1

When two lines are perpendicular, the product of their slopes is -1

We can conclude that both lines are perpendicular to one another.

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When solving an equation, it is important to check for extraneous solutions.

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Answer:

The probability of not being the same temperature would be 100% - (55% + 25%) = 20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

so the probability of whole is 100%

which means the un same day is 55%+25%=80%

so we just use 100% to minus 80%=20%

i hope this helps

A better score is the SAT score of 2100 which has an average of 1500 with an SD of 325.

- SAT score of 2100

Now, According to the question:

"Information available from the question"

An ACT score of 28 or a combined SAT score of 2100 when

ACT: μ = 21 and σ = 5;

SAT: μ = 1500 and σ = 325

In order to determine which is a better score, we compare the scores in standard deviation units.

We can convert the score to standard deviation units by subtracting the mean and dividing by the standard deviation.

ACT: (28-21)/5 = 1.2

SAT: (2100-1500)/325 = 1.38

As we see SAT score is better than ACT score as it is 1.38 standard deviation units above the mean, while the ACT score is only 1.2 standard deviation units above the mean.

Hence, SAT score of 2100

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The probability that he/she neither receives a text message nor an email during any weekend afternoon be 0.3000.

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

Using the method for the union of two sets, we can calculate the number of students who receive either a text message or an email (or both) based on the above data:

Number of students who receive either a text message or an e-mail = Number of students who receive a text message + Number of students who receive an e-mail - Number of students who receive both

= 1364 + 857 - 470

= 1751

The proportion of students who don't receive either a text message or an email divided by the total sample of students is the probability that a student will not receive either:

P(neither T nor E) = (2500 - 1751) / 2500

= 749 / 2500

= 0.2996

Rounding to four decimal places:

P(neither T nor E) = 0.2996 ≈ 0.3000

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One cup can hold (A), you will need a total of 205.37 paper cups (B), and a total of 5 packages (C).

Let's calculate the volume of the cone:

V=1/3πhr²

V= 1.04 x 11 x 4 ^2 (diameter / 2 radius)

V= 1.04 x 11  x 16 = 184.30 cubic centimeters

Total of lemonade: 37850 cubic centimeters (10 gallons x 3785 cubic centimeters per gallon)

37850 / 184.30 = 205.37 cups

205.37 / 50 cups = 4.1 packages

However, as you need to buy complete packages, this can be rounded to 5 packages.

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As per the type of variable, the measurement scale is nominal scale and ratio scale.

The term type of variable is divides as Discrete variables are those that can be counted on the fingers whereas continuous variables are those that cannot be counted on the fingers and may be represented as decimals or fractions.

Here we know that the variable is categorical or numerical.

And here we need to find the variable is discrete or continuous.

a. Number of cellphones in the household is numerical, discrete, ratio scale

b. Length (in minutes) of the longest telephone call made in a month is measured  by using the scale numerical, continuous, ratio scale

c. Weather someone in home owns a Wi Fi capable cell phone is measured using categorical, nominal scale

d. Whether there is a high speed Internet connection in household is measured as categorical, nominal scale.

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Answer:

QR could be diagonal of a parallelogram.

(if i got it wrong sorry i tried my best)

The required longest hike executed by the family is 2 hours.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
From the table,
Hike 1 took 1 2/4 hours which is equivalent to 1.5 hours.
Similarly
Hike 2 = 1.75 hours
Hike 3 = 2 hours
Hike 4 = 1.75 hours
Hike 5 = 1.5 hours
Hike 6 = 1 hours

Thus, the required longest hike executed by the family is 2 hours.

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