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Answer:

Step-by-step explanation:

see attachment

Final answer:

The perimeter of triangle DEF is 24 centimeters.

Explanation:

The perimeter of a triangle is the sum of the lengths of its three sides. In this case, triangle ABC is congruent to triangle DEF, and each side of triangle ABC is 1.5 times longer than the corresponding side of triangle DEF. Let's assume the lengths of the corresponding sides of triangle DEF are x, y, and z. Therefore, the lengths of the corresponding sides of triangle ABC are 1.5x, 1.5y, and 1.5z.

Since the perimeter of triangle ABC is 36 centimeters, we can set up the equation as follows: 1.5x + 1.5y + 1.5z = 36. Simplifying the equation, we get x + y + z = 24. This means the perimeter of triangle DEF is 24 centimeters.

Answer:

[tex]d = \sqrt{14} = 3.74...[/tex]

Step-by-step explanation:

To find the distance between (8, -3, 4) and (6, -4, 1), use the distance formula for (x,y,z) points. It is very similar to (x,y) points.

[tex]d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2 + (z_2 - z_1)^2} \\d = \sqrt{(8 - 6)^2 + (-3--4)^2 + (4-1)^2} \\d = \sqrt{(2)^2 + (1)^2 + (3)^2} \\d = \sqrt{4 + 1 + 9}\\ d = \sqrt{14} = 3.74...[/tex]

Answer:

1. 15

2. 26.6666666667

3. 26.6666666667

4. 15

5. 8

Step-by-step explanation:

2d-5=17

+5 +5

2d=22

*divide by 2 on each side

*2d cancels out

* 22 divided by 2d

The value of d=11

Answer:

B

Step-by-step explanation:

given

f(x) = 3x + 2

To evaluate f(5) substitute x = 5 into f(x) that is

f(5) = (3 × 5 ) + 2 = 15 + 2 = 17 → B

Answer:

8x³ - 5x² + 8x

Step-by-step explanation:

to solve the perimeter, you need to add all sides of the triangle together.

8x² + x³ + 2x² + 7x³ - 3x² + 6x

now, code all the similar variables:

8x² + x³ + 2x + 7x³ - 3x² + 6x

8x² - 3x² = 5x²

x³ + 7x³ = 8x³

2x + 6x = 8x

so, put them all together:

5x² + 8x³ + 8x

but remember that the larger exponent comes first(just a rule)

so, it is : 8x³ - 5x² + 8x

plz give me a brainliesttt

So

an=an+b

14=4a+b and a=-8

14=-32+b

b= 46

an=-8n+46

Answer with Step-by-step explanation:

[tex]a_{4}=14[/tex]

Each term of the sequence is 8 less than the previous term

⇒ [tex]a_{3}=14+8=22[/tex]

⇒ [tex]a_{2}=22+8=30[/tex]

⇒ [tex]a_{1}=30+8=38[/tex]

In general [tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

Hence, recursive formula representing the situation is:

[tex]a_{n}=a_{n-1}-8,a_{1}=38[/tex]

Answer: 3,520 feet

Step-by-step explanation:

To solve this exercise you must apply the proccedure shown below.

You know that 1 miles is equal to 5,280 feet.

1 mile=5,280 feet (This is the conversion factor that you should use)

Then, keeping the above on mind, you can convert 2/3 miles to feet as following:

[tex](\frac{2}{3}miles)(\frac{5,280feet}{1mile})=3,520feet[/tex]

Answer:

C

Step-by-step explanation:

The area (A) of the triangle is calculated using

A = [tex]\frac{1}{2}[/tex] ab sinC

where a, b are the 2 sides and C is the angle between them

here a = 6, b = 2 and C = 80°, hence

A = 0.5 × 6 × 2 × sin80° = 5.91 cm² → C

Answer:

The correct answer option is C) y = -2/3x - 13/3.

Step-by-step explanation:

We are given a straight line graph with one known point and we are to find its equation.

We will take one more point on the line to find the slope.

(-5, -1) and (-2, -3)

Slope (m) = [tex]\frac{-3-(-1)}{-2-(-5)} =-\frac{2}{3}[/tex]

Now finding the y-intercept:

[tex]y=mx+c[/tex]

[tex]-1=-\frac{2}{3} (-5)+c[/tex]

[tex]c=-\frac{13}{3}[/tex]

Therefore, the equation of this line is y = -2/3x - 13/3.

Answer:Answer:

The correct answer option is C) y = -2/3x - 13/3.

Step-by-step explanation:

We are given a straight line graph with one known point and we are to find its equation.

We will take one more point on the line to find the slope.

(-5, -1) and (-2, -3)

Slope (m) =

Now finding the y-intercept:

Therefore, the equation of this line is y = -2/3x - 13/3.

Step-by-step explanation: Please mark me brainliest   PLEASE !!!!!!!!!!!!!!!!!!!

Flora's car is 79/100 meters longer than Trevor's car after adding the separate differences between Flora's car and Sally's and Sally's car and Trevor's.

To find out how much longer Flora's car is than Trevor's, we need to add the two differences mentioned:

Flora's car is 59/100 meters longer than Sally’s car.

Sally’s car is 2/10 of a meter (20/100 when having a common denominator with 59/100) longer than Trevor’s car.

First, we express 2/10 as 20/100 to have a common denominator with 59/100 for easier addition:

59/100 + 20/100 = 79/100

Now we add the two lengths to determine how much longer Flora’s car is than Trevor's.

79/100 meters

Therefore, Flora's car is 79/100 meters longer than Trevor's car.

Answer:

The true statements:

- AB = 8

- x is seven units greater than y

- m∠ABC = 122°

Step-by-step explanation:

* One case of congruence is SAS that means

- If two sides and including angle between them in the first

 triangle equal to the corresponding sides and angle in the

 second triangle, then the two triangles are congruent

* In the problem

- Triangle ABC is congruent to triangle PQR using SAS case

* That means

- AB = PQ

- BC = QR

- m∠ABC = m∠PQR  

- Where angle ABC including angle between AB and BC

  and angle PQR is the including angle between PQ and QR

* Now we will use the information about the lengths of AB

 and PQ to find y, and use the measures of angles ABC and

 PQR to find x and then chose the correct answer

∵ m∠ABC = 12x + 2

∵ m∠PQR = 142 - 2x

∵ m∠ABC = m∠PQR

∴ 12x + 2 = 142 - 2x ⇒ collect the like terms

∴ 12x + 2x = 142 - 2

∴ 14 x = 140 ⇒ divide both sides by 14

∴ x = 10

* Lets substitute this value of x to find the m∠ABC and m∠PQR

- m∠ABC = 12(10) + 2 = 120 + 2 = 122°

- m∠PQR = 142 - 2(10) = 142 - 20 = 122°

∵ AB = 5y - 7

∵ PQ = 3y - 1

∵ AB = PQ

∴ 5y - 7 = 3y - 1 ⇒ collect the like terms

∴ 5y - 3y = -1 + 7

∴ 2y = 6 ⇒ divide both sides by 2

∴ y = 3

* Lets substitute this value of y to find the AB and PQ

- AB = 5(3) - 7 = 8 units

- PQ = 3(3) - 1 = 8 units

* Lets check the answer to chose the right answer

- 1st answer ⇒ AB = 8 (√)

- 2nd answer ⇒ m∠PQR = 140° (x)

- 3rd answer ⇒ y = 1 (x)

- 4th answer ⇒ x is seven units greater than y (√)

  ( x = 10 and y = 3 then x - y = 10 - 3 = 7)

- 5th answer ⇒ m∠ABC = 122° (√)

- 6th answer ⇒ PQ = 3 (x)

Answer:

A

D

E

Step-by-step explanation:

Answer:

George is 12, Mary Lou is 24 and Kate is 10.

Step-by-step explanation:

To find these, start by setting George's age as x. This means that we can model Mary Lou's age as 2x, since she is twice as old. We can also model Kate's age as x - 2 since she is two years younger. Now we can add these 3 together and set equal to 46

x + 2x + x - 2 = 46

4x - 2 = 46

4x = 48

x = 12

This means that George is 12.

Mary Lou = 2x

Mary Lou = 2(12)

Mary Lou = 24

Kate = x - 2

Kate = 12 - 2

Kate = 10

Answer:

G 12 Mary L 24 and kate is 10

Step-by-step explanation:

Answer:

f(-10) = -19

f(2) = 4

f(-5) = -9

f(-1) = 1

f(8) = -5

Step-by-step explanation:

This is relatively simple if you understand the concept. All you have to do is take each number and then look at each inequality to see where it fits.

For example, if you take 2 and look at the first inequality, you see that 2 is not less than or equal to 5. Now if you look at the second inequality, you see that 2 is both greater than -5 and less than 5. Since 2 fits in the second inequality, you plug it into the second equation.

These functions where you have to see where the x-value fits are called piecewise functions and you will see them a lot in higher level math.

(disclaimer: I evaluated the numbers quickly, so I would doublecheck it, but I am pretty sure I didn't mess up)

Answer:

f(-10) = -19

f(2) = 4

f(-5) = -9

f(-1) = 1

f(8) = -5

Step-by-step explanation:

The domain for x is all real numbers (without restrictions). For instance, if f(x) = x^2, on -5 < x < 5, on negative x, you must use f(x) = (-1)^2 to get 1.

If x is >= 5, then the range is 3 - x, so f(x) = 3 - x, if x >= 5.

If x is <= -5, then the range is 2x + 1, so f(x) = 2x + 1, if x <= -5.

the answer is a.cause a function is a mapping from a set of input to the output

Simplifying

5(7x + -3) = 230

Reorder the terms:

5(-3 + 7x) = 230

(-3 * 5 + 7x * 5) = 230

(-15 + 35x) = 230

Solving

-15 + 35x = 230

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '15' to each side of the equation.

-15 + 15 + 35x = 230 + 15

Combine like terms: -15 + 15 = 0

0 + 35x = 230 + 15

35x = 230 + 15

Combine like terms: 230 + 15 = 245

35x = 245

Divide each side by '35'.

x = 7

Simplifying

x = 7

Answer:

21. Option d

22. Option b

23. Option b

Step-by-step explanation:

The formula to calculate the binomial probability is represented as follows.

[tex]P(X=x) = \frac{n!}{x!(n-x)!}p^x(1-p)^{n-x}[/tex]

The formula to calculate the binomial probability is represented as follows.

In this formula x represents the number of successes, n represents the number of times the experiment is repeated, p represents the probability of success.

1. First we are asked to calculate the probability of obtaining 3 successes, with n = 6 and p = 0.35.

Then we substitute the values in the formula [tex]P(X=3) = \frac{6!}{3!(6-3)!}(0.35)^3(1-0.35)^{6-3}\\\\P(3) = 0.2354[/tex]

Option d.

2. Second we are asked to calculate the probability of obtaining 5 successes, with n = 20 and p = 60%, p = 0.6.

[tex]P(X=5) = \frac{20!}{5!(20-5)!}(0.6)^5(1-0.6)^{20-5}\\\\P(5) = 0.00129[/tex]

option b

3. Third we are asked to calculate the probability of obtaining 2 successes, with n = 10 and p = 1/2, p = 0.5.

[tex]P(X=2) = \frac{10!}{2!(10-2)!}(0.5)^2(1-0.5)^{10-2}\\\\P(2) = 0.04394[/tex]

option b

Answer: ((( D )))He did not perform enough trials to compare the theoretical and experimental probabilities.

Step-by-step explanation:

Answer:

d on edu 2020

Step-by-step explanation:

Answer:

vertex = (- 5, - 8)

Step-by-step explanation:

Given a quadratic in standard form : ax² + bx + c = 0 : a ≠ 0

Then the x- coordinate of the vertex is

[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]

Given x² + 10x = - 17 ( add 17 to both sides )

x² + 10x + 17 = 0 ← in standard form

with a = 1, b = 10, c = 17, then

[tex]x_{vertex}[/tex] = - [tex]\frac{10}{2}[/tex] = - 5

Substitute x = - 5 into the quadratic for the corresponding value of y

y = (- 5)² + 10(- 5) + 17 = 25 - 50 + 17 = - 8

Hence vertex = (- 5, - 8)

Answer:

6.87^-3

Step-by-step explanation:

Answer:

6.87 x 10-3

Step-by-step explanation:

In scientific notation all numbers are written in the form of m×10n (m times ten raised to the power of n), where the exponent n is an integer, and the coefficient m is any real number, called the significand or mantissa. If the number is negative then a minus sign precedes m (as in ordinary decimal notation).

If one angle in a parallelogram is 90°, all four angles are 90°, making the parallelogram a rectangle.

When dealing with a parallelogram, it is important to remember certain properties about its angles. A parallelogram has opposite angles that are equal and consecutive angles that are supplementary (add up to 180 degrees). If one angle is 90°, then the opposite angle must also be 90°. Since one pair of opposite angles are right angles, this parallelogram is actually a rectangle. This means the other two angles in the parallelogram must also be 90° each.

So, in conclusion, if a parallelogram has one angle that measures 90 degrees, the measures of the other three angles in the parallelogram are also 90 degrees each. This is because a parallelogram with all right angles is a rectangle, and by definition, a rectangle has all angles measuring 90 degrees.

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In a parallelogram with one angle measuring 90°, the other three angles also measure 90°, making the parallelogram a rectangle.

In a parallelogram, opposite angles are equal, and adjacent angles are supplementary (sum to 180°). Since one angle measures 90°, its opposite angle must also be 90°. Therefore, the adjacent angles must each be 180° - 90° = 90°.

Since one angle in a parallelogram measures 90°, the other three angles must also be 90°, making this parallelogram a rectangle.

Answer:

2

Step-by-step explanation:

If g(x) is the inverse of f(x)

f(g(x)) =x

This is the property of inverses.

Let x=2

f(g(2))=2

Answer:

C: 2

Step-by-step explanation:

its right on edg 2020

[tex]\bf \textit{sum of all interior angles in a regular polygon}\\\\ n\theta =180(n-2)~~ \begin{cases} n=\textit{number of sides}\\ \theta =angle~in\\ \qquad degrees\\[-0.5em] \hrulefill\\ n=9 \end{cases}\implies 9\theta =180(9-2) \\\\\\ 9\theta =1260\implies \theta =\cfrac{1260}{9}\implies \theta =140[/tex]

Answer:

If point a and point b split the circle in 2 arcs.

One of the point take up way more space than the other one.

Answer:  Measure of ∠BAM is 30°.

Step-by-step explanation:  As shown in the attached figure, points A and B split the circle with center O into two arcs. Major of the minor arc is 150°. And, the point M splits the major arc in the ratio 2 : 5.

We are to find the measure of ∠BAM.

Since the measure of minor arc AB is 150°, so the measure of major arc AB will be

360° - 150° = 210°.

Also, point M divides the major arc AB in the ratio 2 : 5, so we have

[tex]\textup{arc }BM:\textup{arc }{MA}=2:5.[/tex]

Therefore, the measure of ∠BOM is given by

[tex]m\angle BOM=\dfrac{2}{2+5}\times 210^\circ=\dfrac{2}{7}\times210^\circ=2\times30^\circ=60^\circ.[/tex]

We know that the measure of the angle subtended at the center by an arc is equal to twice the measure of the angle subtended at the circumference by the same arc.

That is, for arc BC, we get

[tex]m\angle BOM=2\times m\angle BAM\\\\\\\Rightarrow m\angle BAM=\dfrac{m\angle BOM}{2}\\\\\\\Rightarrow m\angle BAM=\dfrac{60^\circ}{2}\\\\\\\Rightarrow m\angle BAM = 30^\circ.[/tex]

Thus, the measure of ∠BAM is 30°.

The answer is:

C. [tex]\frac{x-\sqrt{5x}}{x-5}[/tex]

Since we have rational numbers on both numerator and denominator, we need to rationalize (simplify) using the conjugate method on the denominator, for this case, the conjugate will be the same expression changing the positive sign "+" to a negative sign "-". Conjugate method means that we need to multiply and divide for the same term in order to not affect the expression.

Also, for solving this problem, we need to remember the following:

[tex]a^{2}-b^{2}=(a+b)(a-b)[/tex]

And,

[tex]\sqrt[n]{a}*\sqrt[n]{b}=\sqrt[n]{a*b}[/tex]

So, the conjugate for the expression will be:

[tex]\sqrt{x}-\sqrt{5}[/tex]

Applying the conjugate for the expression, we will have:

[tex]\frac{\sqrt{x} }{\sqrt{x}+\sqrt{5}}*\frac{\sqrt{x}-\sqrt{5}}{\sqrt{x}-\sqrt{5}}=\frac{\sqrt{x}*\sqrt{x} -\sqrt{x}*\sqrt{5}}{(\sqrt{x})^{2}-\sqrt{x}*\sqrt{5}+\sqrt{5}*\sqrt{x}-(\sqrt{5})^{2}}\\\\\frac{(\sqrt{x})^{2}-\sqrt{5x}}{x-5}=\frac{x-\sqrt{5x}}{x-5}[/tex]

So, the rationalized form of the expression is:

[tex]\frac{x-\sqrt{5x}}{x-5}[/tex]

Have a nice day!

Answer:

Toss

Step-by-step explanation:

I just did the problem.

Answer:

they need to sell 15,000 because 42 percent of 15,00 is 6,300+2500=800

the inequality should be. 2500+0.42s≥8,800

and the number line should have a closed point on 15,000 with the line pointing to the right

Answer:

R = PV / nT

Step-by-step explanation:

PV = nRT solve for R

rewrite

nRT = PV

Divide both sides by nT

nRT / nT = PV / nT

Simplifying

R = PV / nT

First option is the answer