Triangle PQR has the following coordinates:
P(-9, -12)
Q(-6, -13)
R(-7, -4)
Where is Q’ after a translation 9 units right and 11 units up?

Answer:

y=4

Step-by-step explanation:

3 x 2=6

6 - 2= 4

Answer:

y = 4

Step-by-step explanation:

Equation: y = 3x - 2

Plug in x = 2

New equation: y = 3(2) - 2

Simplify: y = 6 - 2 --> y = 4

Answer: y = 4

The radius of the circle circumscribing the isosceles triangle is :

(a) 20sqrt(2).

To find the radius of the circle circumscribing the isosceles triangle, we need to use the fact that the perpendicular bisectors of the sides of the triangle intersect at the center of the circle. Since the triangle is isosceles, the perpendicular bisector of the base will also be an altitude, so it will intersect the base at its midpoint. Let's call this point M.

First, we can use the Pythagorean theorem to find the height of the triangle. If we draw an altitude from the vertex opposite the base to the midpoint of the base, we get two right triangles that are congruent by the hypotenuse-leg congruence theorem. Let's call the height h. Then:

h^2 + 24^2 = 40^2
h^2 = 40^2 - 24^2
h = sqrt(40^2 - 24^2)
h = 32

Now we can find the distance from the center of the circle to point M, which is the radius of the circle. Let's call this distance r. Since M is the midpoint of the base, its distance from each endpoint is 24. We can use the Pythagorean theorem again to find r:

r^2 = h^2 + 24^2
r^2 = 32^2 + 24^2
r^2 = 1152
r = sqrt(1152)
r = 12sqrt(8)
r = 24sqrt(2)

So the answer is (a) 20sqrt(2).

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Answer:

(3,-9)

Step-by-step explanation:

The given equations are :

−5x−3y=12 (1)

y=x−12 ....(2)

Put the value of y from equation (2) in equation (1)

−5x−3(x-12)=12

-5x-3x+36 = 12

Taking like terms together

-5x-3x = 12-36

-8x = -24

x = 3

Put the value of x in equation (2)

y=3−12

y = -9

Hence, the solution of the above equations is x = 3 and y = -9 or (3,-9).

Answer:

20

Step-by-step explanation:

10*2

Answer:

5.25 tablespoons are needed per dozen

Step-by-step explanation:

Answer:

Step-by-step explanation:

1/7

Answer:

7% of 33= 2.1

2% of 640= 12.8

15% of 470=70.5

7/9 of 51= 119/3

.52 of 62= 32.24

Answer:

1) 2.31

2) 12.8

3) 72

4) 44.625

5) 32.24

Step-by-step explanation:

7% of a number is simply 0.07*the number.

7/8 is just .875*the number

Hope it helps <3

The example of quantitative data among the given options is option A. North America is moving across Earth's surface several centimeters per year

Quantitative data refers to numerical or measurable information. In option A, the statement provides specific numerical measurements by stating that North America is moving across Earth's surface several centimeters per year. This information can be quantified and measured, making it an example of quantitative data.

Options B, C, D, and E do not provide numerical or measurable information. They describe qualitative characteristics or observations that cannot be easily quantified or measured.

B. The river has flooded a low-lying area describes a qualitative observation of a flood occurrence.

C. The volcano is releasing much steam describes a qualitative observation of steam release.

D. Volcanoes are dangerous makes a general statement without providing specific numerical information.

E. When held, one rock feels heavier than another rock is a subjective comparison and does not provide specific quantitative measurements.

Therefore, option A is the example of quantitative data as it provides numerical information that can be measured and quantified.

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Answer:

21 because there is a 1/4 chance and there are 84 questions, so 1/4 (25%) of 84 is 21.

Step-by-step explanation:

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

We have,

A triangular formula is used to calculate the area of a triangle, which is a polygon with three sides.

The formula for the area of a triangle is given by:

Area = 1/2 x base x height

where the base and height are two of the sides of the triangle.

If you want to calculate the area of a pentagon, you can use the formula for the area of a regular pentagon, which is given by:

Area = (5/4) x s² x tan(π/5)

where s is the length of one of the sides of the Pentagon.

Thus,

It is not possible to find the triangular formula of a pentagon because a pentagon is a polygon with five sides and does not have a triangular formula.

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Answer:

Proceeds = $11020

Effective interest rate = 15.2%

To find the proceeds of the note, we will subtract the bank discount from the face value

Answer:

578

Step-by-step explanation:

118

+560

answer:678

678-100=578

The sum of 118 and 560 is the same as adding 100 to 578.

To find the sum of 118 and 560, we can add the hundreds, tens, and ones separately.

Starting with the ones, 8 + 0 = 8.

Then, moving on to the tens, 1 + 6 = 7.

Finally, adding the hundreds, 1 + 5 = 6. Combining these results, we get 678 as the sum.

However, if we add 100 to 578, we get 678, which is the same as the previous result. This happens because when we add 100 to the sum of 118 and 560, we essentially increase the hundreds place by 1 while keeping the tens and ones the same.

The final answer is 578.

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The question is incomplete, the complete question is:

The sum of 118 + 560 is the same as 100 + x . Find the value of x.

The type of sampling used in this scenario is B. Stratified sampling. Stratified sampling involves dividing the population into distinct subgroups or strata and then selecting samples from each subgroup.

In this case, Miranda divides her day into three parts: morning, afternoon, and evening. Each part of the day represents a stratum or subgroup.  Miranda measures her breathing rate at 4 randomly selected times during each part of the day. This means she is taking samples from each of the three strata (morning, afternoon, and evening) and collecting data from within those subgroups.

By using stratified sampling, Miranda ensures that her samples represent the different parts of her day in a proportional and systematic manner, allowing her to capture potential variations in her breathing rate throughout the day.

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Step-by-step explanation:

put -5 into x

then

3*-5 is -15 (-2)

-17 is your answer

Answer:

10m-5

Step-by-step explanation:

Square = 4 sides (s)

Square perimeter (p) = 40m-20

We need to divide the expression into 4 equal parts since a square has 4 sides.

Perimeter: 40m-20 ÷ 4 sides:

=10m-5

or

=5(8m−1)

Answer:

64,890

Step-by-step explanation:

105×3 =315

103×2= 206

315×206= 64,890

Answer:

6.489× 10⁴

Step-by-step explanation:

(3×105)×(2×103)

315× 206

64,890

6.489×10⁴

The answer of this 70/cos 20° round to 1 decimal place  is 74.5

To solve the equation 70/cos 20° , firstly we need to find out the value of the cos 20°.

From the simple calculator we can find the value of cos 20° which is 0.9397.

Now we use this value to solve the above equation.

70/cos 20°;

70/0.9397;

74.491.

written that we  have to round of the value to first decimal place, so the answer will become 74.5

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The slope of the table is 5 / 4 .

The slope of a line is the change in the dependent variables 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.

Therefore, let's find the slope of the table.

slope = change in y / change in x

Therefore,

slope = y₂ - y₁ / x₂ - x₁

Using (4, 5) and (8, 10)

slope = 10 - 5 / 8 - 4

slope = 5 / 4

Therefore, the slope is 5 / 4.

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Answer:

1.25

Step-by-step explanation:

You divide five by four, and you get one and twenty-five hundredths.

Answer:

the triangle is not a right angle because it doesn't have the right angle square

Answer:

No because there is no angle of 90 degree.

Based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

How closely a value relates to the mean of a set of values is expressed by a Z-score.

The Z-score is created using standard deviations from the mean.

A data point's total value is equal to the mean value when the Z-score of the data point is equal to 0.

So, in order to determine how far the raw score deviates from the mean, the Z score is used.

The following steps are used to determine the Z score:

z = (x - μ)/σ

We know that:  x > 550 and μ = 500, σ = 40

z = 550 - 500 / 40

z = 1.25

The graph of the normal distribution indicates:

P(z > 1.25) = 1 - P(z < 1.25)

P(z > 1.25) = 1 - 0.8944

P(z > 1.25) = 0.1056

Therefore, based on the z-score, an Endure All battery selected at random has a 10.56% chance of lasting more than 550 hours.

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Option D AAS Congruence Theorem

If two angles and one side in one triangle are congruent to the corresponding two angles and one side in another triangle, then the two triangles are congruent. This idea encompasses two triangle congruence shortcuts :Angle-Side-Angle (ASA)  and Angle-Angle-Side.

Angle-Side-Angle (ASA) Congruence Postulate: If two angles and the included side in one triangle are congruent to two angles and the included side in another triangle, then the two triangles are congruent.

Angle-Angle-Side (AAS) Congruence Theorem: If two angles and a non-included side in one triangle are congruent to two angles and the corresponding non-included side in another triangle, then the triangles are congruent.

option D is correct

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The given function is f(x, y) = x²y². We are to determine if this function has a single global minimum and is relatively easy to minimize or not. To check if a function has a global minimum, we need to take the partial derivative of the function with respect to x and y.

Let's evaluate it.∂f/∂x = 2xy² ∂f/∂y = 2x²y Equating both the partial derivatives to zero, we get;2xy² = 0 => xy² = 0 => x = 0 or y = 0 2x²y = 0 => x²y = 0 => x = 0 or y = 0

Hence, the stationary points are (0,0), (0, y), and (x,0). Let's use the second derivative test to determine if the stationary point (0,0) is a global minimum, maximum, or saddle point.∂²f/∂x² = 2y² ∂²f/∂y² = 2x² ∂²f/∂x∂y = 4xy

The determinant is;∆ = ∂²f/∂x² * ∂²f/∂y² - (∂²f/∂x∂y)² = 4x²y²Since (0,0) is a stationary point, we have ∂f/∂x = 0 and ∂f/∂y = 0 which implies that x = 0 and y = 0, respectively. Thus, ∆ = 0 which means that the second derivative test is inconclusive and we cannot determine if (0,0) is a global minimum, maximum, or saddle point. The given function does not have a single global minimum and is not relatively easy to minimize.

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==============================================================

Explanation:

T is the midpoint of PQ, which means T splits PQ into two equal parts. Those parts being PT and TQ.

Set them equal to each other and solve for x.

PT = TQ

3x+7 = 7x-9

3x-7x = -9-7

-4x = -16

x = -16/(-4)

x = 4

So,

PT = 3x+7 = 3*4+7 = 19

TQ = 7x-9 = 7*4-9 = 19

Both PT and TQ are 19 units long to help confirm the answer.

The amount the firm needs to deposit in the account now is 9,640.11. Given that the company has purchased a life truck with a useful life of 5 years, the maintenance costs for the truck during the first year are 2,000.

Also, maintenance costs are expected to increase at a rate of 300 per year over the remaining life, which is for four years. Assume that the maintenance costs occur at the end of each year.

The future maintenance costs for the truck can be calculated as shown below:

Year 1:\($2,000Year 2: $2,300Year 3: $2,600Year 4: $2,900Year 5: $3,200\)The maintenance account that earns 10% interest per year has to be set up, and all future maintenance expenses will be paid out of this account. The future value of the maintenance costs, i.e., the amount that the firm needs to deposit now to earn 10% interest and pay the maintenance costs over the next four years is given by:

\(PV = [C/(1 + i)] + [C/(1 + i)²] + [C/(1 + i)³] + [C/(1 + i)⁴] + [(C + FV)/(1 + i)⁵]\),where PV is the present value of the future maintenance costs, C is the annual maintenance cost, i is the interest rate per year, FV is the future value of the maintenance costs at the end of year 5, which is $3,200, and 5 is the total number of years, which is

5.Substituting the given values in the above equation:

\(PV = [2,000/(1 + 0.1)] + [2,300/(1 + 0.1)²] + [2,600/(1 + 0.1)³] + [2,900/(1 + 0.1)⁴] + [(3,200 + 3,200)/(1 + 0.1)⁵] = 9,640.11\)Therefore, the firm needs to deposit 9,640.11 in the account now. Hence, option (A) is the correct answer.

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The answer of the equation 8(x-3) +7=2x(4-17) is x=1/2.

An equation is a statement that says that the value of two mathematical expressions is equal i.e., it is a mathematical sentence that has two equal sides separated by an equal sign.

We have the equation : 8(x-3) +7=2x(4-17)

Here we are not given Lin's solution so we can not find the error in her solution but we will solve this equation and find the value of x.

            8(x-3) +7= 2x (4-17)    

      ⇒  8x - 24 +7 = 2x(-13)

      ⇒  8x -17= -26x

      ⇒  34x = 17

      ⇒  x= 17/34

      ⇒ x =1/2.

The solution of the above equation is x= 1/2.

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A p-value for correlation which is statistically significant implies the correlation is due to random chance. The correct solution to this is False.

A p-value for correlation which is statistically significant implies that it is unlikely that the observed correlation is due to random chance alone. In other words, it suggests that there is evidence to support the presence of a true correlation between the two variables being studied. The p-value is a measure of the strength of evidence against the null hypothesis (i.e., that there is no correlation between the two variables), and a smaller p-value indicates stronger evidence against the null hypothesis.

Interpretation of the intercept: The intercept in a linear regression model represents the value of the dependent variable when all independent variables are equal to zero. It is the value of the dependent variable when there is no effect of the independent variable(s) on it. For example, in a regression model predicting height based on age, the intercept would represent the expected height of a person at age zero (which is not a realistic scenario).

Interpretation of a residual: A residual is the difference between the actual observed value of the dependent variable and the predicted value of the dependent variable based on the regression model. It represents the part of the dependent variable that the model was not able to explain. A positive residual means that the actual value is greater than the predicted value, while a negative residual means that the actual value is smaller than the predicted value.

Interpretation of r-squared: R-squared is a measure of how much of the variation in the dependent variable is explained by the independent variable(s) in the regression model. It ranges from 0 to 1, with higher values indicating a better fit of the model to the data. Specifically, it represents the proportion of the total variation in the dependent variable that is explained by the independent variable(s) in the model. For example, if r-squared is 0.75, it means that 75% of the variability in the dependent variable is explained by the independent variable(s) in the model.

Interpretation of the slope: The slope in a linear regression model represents the change in the dependent variable that is associated with a one-unit increase in the independent variable, holding all other variables constant. It reflects the average change in the dependent variable for each unit change in the independent variable. For example, in a regression model predicting height based on age, the slope would represent the average change in height for each additional year of age.

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As a consequence, since the sides of a triangle add up to 180 degrees, s is approximately 73.33 degrees.

Connecting three non-collinear locations results in a triangle, a three-sided polygon. Its three sides and three angles make it one of the most fundamental forms in geometry. There are various kinds of triangles depending on their side lengths and angle measurements, such as equilateral, isosceles, scalene, acute, obtuse, and right triangles.  There are many uses for triangles, including in mathematics, engineering, and building.

given

A triangle's sides add up to 180 degrees. Therefore:

s - 24 + s - 26 + s + 10 = 180

When we simplify and find s, we obtain:

3s - 40 = 180

3s = 220

s = 73.33

As a consequence, since the sides of a triangle add up to 180 degrees, s is approximately 73.33 degrees.

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Answer:

if im not mistaken its..A

Step-by-step explanation:

Single line that is the same distance from the parabola as the focus is from the parabola is Axis.

A parabola is a U-shaped plane curve where any point is at an equal distance from a fixed point (known as the focus) and from a fixed straight line which is known as the directrix.

As, A locus is a set of points satisfying a given condition.

and, The vertex of a parabola is the point at the intersection of the parabola and its line of symmetry.

Also, The directrix is perpendicular to the axis of symmetry of a parabola and does not touch the parabola.

The axis of symmetry of a parabola is a vertical line that divides the parabola into two congruent halves.

Thus, by considering the above definition we can say that the line that is the same distance from the parabola as the focus is from the parabola is Axis.

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To find the exact solution of each equation for 0 ≤ q ≤ 2π, we need to use the appropriate formula and simplify the expression. Let's take an example of the equation sin(q) = 1/2.

Using the unit circle, we know that sin(q) = 1/2 at q = π/6 and q = 5π/6. Hence, the exact solutions for the equation sin(q) = 1/2 are q = π/6 + 2nπ and q = 5π/6 + 2nπ where n is an integer and n = 0, ±1, ±2, … . Similarly, we can find the exact solutions for other trigonometric equations using their respective formulas.

It is important to note that we should restrict the value of q to 0 ≤ q ≤ 2π to ensure that we are only finding the solutions within the given interval. In conclusion, to find the exact solution of each equation for 0 ≤ q ≤ 2π, we need to use the appropriate formula, simplify the expression, and restrict the value of q to the given interval.

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Answer:

No

Step-by-step explanation:

No. So if the number next to the "x" we're the same, it would have been. But they are different (one is -3 and one is 1/3)