Which of the following sets shows all the numbers from the set {2, 3, 4, 5 that are part of the solution inequality 4n + 6> 22

Answers

Answer 1
{ 5 } shows all the numbers from the set {2, 3, 4, 5 }that are part of the solution inequality 4n + 6> 22

Solution:

Given inequality is:

[tex]4n + 6 > 22[/tex]

Substitute n = 2

[tex]4(2) + 6 > 22\\\\8 + 6 > 22[/tex]

14 is not greater than 22

Thus, n = 2 does not satisfy the given equation

Substitute n = 3

4(3) + 6 > 22

12 + 6 > 22

18 is not greater than 22

Thus, n = 3 does not satisfy the given equation

Substitute n = 4

4(4) + 6 > 22

16 + 6 > 22

22 is equal to 22

Thus, n = 4 does not satisfy the given equation

Substitute n = 5

4(5) + 6 > 22

20 + 6 > 22

26 > 22

26 is greater than 22

Thus, n = 5 satisfies the given equation


Related Questions

What is 5y-4x =-7
2y+4x=14
X=?
Y=?

Answers

Answer:

X=3

Y=1

Step-by-step explanation:

In solving simultaneous equations, there are three methods, we have the elimination method, substitution method or graphical method. But for the purpose of this question, we would be using Elimination method.

5y-4x =-7 Equation 1

2y+4x=14 Equation 2

Since x has the same coefficient, it's easy to eliminate by adding up the two equations

5y+2y=7y

-4x+(+4x)=0

-7+(+14)=7

We have 7y=7

Divide both sides by 7,

y=7/7

y=1

Substituting for y in equation 2.

2(1)+4x=14

2+4x=14

4x=14-2

4x=12

x=12/4

x= 3

The lengths of the three sides of a triangle are given. Classify each triangle as acute, right or
obtuse.
30, 40, 50
1)

Answers

Triangle with side lengths 30, 40, and 50 is a right triangle.

To classify the triangle based on the lengths of its sides, we can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

For the given lengths of sides:

[tex]\(a = 30\)[/tex]

[tex]\(b = 40\)[/tex]

[tex]\(c = 50\)[/tex]

We can check if the triangle is a right triangle:

[tex]\[c^2 = a^2 + b^2\][/tex]

Substituting the values:

[tex]\[50^2 = 30^2 + 40^2\][/tex]

[tex]\[2500 = 900 + 1600\][/tex]

[tex]\[2500 = 2500\][/tex]

Since [tex]\(2500 = 2500\)[/tex], the Pythagorean theorem holds true, meaning this triangle is a right triangle.

So, the given triangle with side lengths 30, 40, and 50 is a right triangle.

Write 6 powered 0 in positive exponents

Answers

Answer:

1

Step-by-step explanation:

Anything to the power 0 is 1

Therefore, 6^0 is 1

Answer:  1

Answer:

6^0 = 1

Step-by-step explanation:

"6 to the power 0" is 6^0 = 1

A hat costs $17.00 and is on sale for 30%. How much will be saved?

Answers

Step-by-step explanation:

70

---- × 17=$11.90(saved)(answer)

100

Calculate the length of AB using Sine rule

Answers

Answer:

Approximately [tex]22.2\; \rm m[/tex].

Step-by-step explanation:

By sine rule, the length of each side of a triangle is proportional to the sine value of the angle opposite to that side. For example, in this triangle [tex]\triangle ABC[/tex], angle [tex]\angle A[/tex] is opposite to side [tex]BC[/tex], while [tex]\angle C[/tex] is opposite to side [tex]AB[/tex]. By sine rule, [tex]\displaystyle \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C}[/tex].

It is already given that [tex]BC = 22.4\; \rm m[/tex] and [tex]\angle A = 58^\circ[/tex]. The catch is that the value of [tex]\angle C[/tex] needs to be calculated from [tex]\angle A[/tex] and [tex]\angle B[/tex].

The sum of the three internal angles of a triangle is [tex]180^\circ[/tex]. In [tex]\triangle ABC[/tex], that means [tex]\angle A + \angle B + \angle C = 180^\circ[/tex]. Hence,

[tex]\begin{aligned}\angle C &= 180^\circ - \angle A - \angle B \\ &= 180^\circ - 58^\circ - 65^\circ \\ &= 57^\circ\end{aligned}[/tex].

Apply the sine rule:

[tex]\begin{aligned} & \frac{BC}{\sin{\angle A}} = \frac{AB}{\sin \angle C} \\ \implies & AB = \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \end{aligned}[/tex].

[tex]\begin{aligned}AB &= \frac{BC}{\sin{\angle A}} \cdot \sin \angle C \\ &= \frac{22.4\; \rm m}{\sin 58^\circ} \times \sin 57^\circ \\ &\approx 22.2\; \rm m\end{aligned}[/tex].

circle E, and are diameters. Angle BCA measures 53°.

Circle E is shown. Line segments A C and B D are diameters. Lines are drawn to connect points B and C and points A and D. Angle B C A is 53 degrees.

What is the measure of arc AD?

53°
74°
106°
180°

Answers

Answer:

74°

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

Triangle EBC is an isosceles triangle (because has two equal sides EB=EC)

so

[tex]m\angle BCA=m\angle BCE=m\angle EBC=53^o[/tex]

Find the measure of angle BEC

Remember that the sum of the interior angles in any triangle must be equal to 180 degrees

so

[tex]m\angle BCE+m\angle EBC+m\angle BEC=180^o[/tex]

substitute the given values

[tex]53^o+53^o+m\angle BEC=180^o[/tex]

[tex]m\angle BEC=180^o-106^o=74^o[/tex]

Find the measure of angle AED

we know that

[tex]m\angle AED=m\angle BEC[/tex] ----> by vertical angles

so

[tex]m\angle AED=74^o[/tex]

Find the measure of arc AD

we know that

[tex]m\ arc\ AD=m\angle AED[/tex] -----> by central angle

therefore

[tex]m\ arc\ AD=74^o[/tex]

Answer:

The answer is B on Edge 2020`

Step-by-step explanation:

I did the exam

Write an equation that represents the volume V as a function of the height h

Answers

Answer:

h=V/b

Step-by-step explanation:

Final answer:

The volume V can be represented as a function of height h by the equations V = lwh for a rectangular prism or V = πr²h for a cylinder. If other dimensions are constants, this can be simplified to V=k*h, where k represents the base area.

Explanation:

To represent the volume V as a function of the height h, we typically consider the volume of a rectangular or cylindrical shape. The volume V of a rectangular prism is given by the formula V = lwh, where l is the length, w is the width, and h is the height. If we consider a cylinder, the volume is given by the equation V = πr²h, where r is the radius of the base circle and h is the height. However, if we simplify this formula assuming only the height can vary and all other dimensions are constants, the function could be simplified to V=k*h, where k represents the area of the base.

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350 is what percentage of 50?

Answers

Answer:

175

Step-by-step explanation:

Answer:

175%

Step-by-step explanation:

Divide 50 by 100 then multiply it by 350

50 ÷ 100 × 350 = 175

Prove the divisibility of 16^5+2^15 by 33

Answers

Answer:

Both terms have a common factor of 2^15

Step-by-step explanation:

Make use of prime factorizations:

16^5+2^15=(2^4)^5+2^15=2^20+2^15

Both terms have a common factor of 2^15.

16^5+2^15=2^15(2^5+1)=2^15 x 33

The term [tex]16^5+2^{15}[/tex] is divisible by 33

We have to given  [tex]16^5+2^{15}[/tex] is divisible by 33.

What is the meaning of prime factorization?

Prime factorization is a way of expressing a number as a product of its prime factors

Make use of prime factorization

[tex]16^5+2^{15}=(2^4)^5+2^{15}[/tex]

           [tex]=2^{20}+2^{15}[/tex]

factor out the term [tex]2^{15}[/tex] we get,

[tex]16^5+2^{15}=2^{15}(2^5+1)=2^{15} * 33[/tex]

Therefore the term [tex]16^5+2^{15}[/tex] is divisible by 33

Hence proved.

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The dot plot below shows 6 data points with a mean of 16.

A dot plot going from 11 to 20. 1 dot is above 12, 13, 15, 17, 19, 20.

What is the absolute deviation at 19?

Answers

Answer:I think its C

Step-by-step explanation:

Answer: the answer is c

Step-by-step explanation:

Tiffany answered 80% of the questions on her math test correctly. There were 40 questions. How many questions did Tiffany get correctly

Answers

Tiffany answered 32 questions correctly since 32/40 is .80

Use the relationship between the angles in the
figure to answer the question.
Which equation can be used to find the value
of x?
Drag and drop the equation into the box.

Answers

Answer:

Depends on what x represents.

Step-by-step explanation:

Can you provide more details?

Answer:

x = 180 - (67 + 52)

Step-by-step explanation:

Had it wrong the first time ;)

What is the area of this trapezoid

Answers

Answer:

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Step-by-step explanation:

Given Data:

a = 7+3+7 =17 units

b = 3  units

h = 8  units

To Find Out:

Area of trapezoid = ?

Formula:

[tex]A = \frac{a+b}{2}h[/tex]

Solution:

[tex]A = \frac{a+b}{2}*h[/tex]

[tex]A = \frac{17+3}{2}*8[/tex]

[tex]A = \frac{20}{2}*8[/tex]

[tex]A =10*8[/tex]

[tex]A = 80[/tex] [tex]units^{2}[/tex]

Karla had $138.72 in her checking account. She wrote checks for $45.23 and $18. Then she made a deposit for 75.85 into her account.what is the best estimate for how much money is in karla’s account now

Answers

Answer:

$151.34

Step-by-step explanation:

First, Karla starts with $138.72.

Then Karla writes checks for $45.23 and $18.00. This means the money will be withdrawn, so let's subtract these from the total.

$138.72 - $45.23 - $18.00 = $75.49

Now, Karla has $75.49 in her account.

However, a $75.85 deposit is made to her account. So let's add this back to the total.

$75.49 + $75.85 = $151.34

So after all the transactions, Karla has $151.34 in her checking account.

168 is 70 percent of what number ?

Answers

Answer:

240

Step-by-step explanation:

Multiply 168 by 100 then divide by 70

What is 6x729 and how would u do the math in the best way ?

Answers

The answer is 4,374 and the math is quite simple. A calculator

6x729 equals 4374 and you get that by using a calculator that's how i would do it

Tom has three pieces of wood. The length of the longest piece is 3/4 foot. The length of the shortest piece is 3/8 foot. What might be the length of the third piece of wood.

Answers

Answer:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Step-by-step explanation:

We are given the following in the question:

There are three pieces of a wood.

Length of longest piece =

[tex]\dfrac{3}{4}\text{ foot}[/tex]

Length of shortest piece =

[tex]\dfrac{3}{8}\text{ foot}[/tex]

Let x be the length of the third piece.

Since the length of third piece lies between the length of the longest and the shortest piece of wood, thus, we use the following inequality to represent the length of the third piece.

Inequality:

[tex]\dfrac{3}{8}\text{ foot}<x<\dfrac{3}{4}\text{ foot}[/tex]

Maricela was recently approved for an $18,000 loan for 5 years at an interest rate of 6.2%. Use the monthly payment formula to complete the


statement


M= (1 + 5* - 1


M= monthly payment


P= principal


r=interest rate


= number of years


Maricela's monthly payment for the loan iss

Answers

Answer:

top is wrong my teacher told me the answer its

349.67

Maricela's monthly payment for the loan using the monthly payment formula is; $349.67

What is the monthly payment?

We are given;

Principal; P = $18000

Interest Rate; r = 6.2% = 0.062

Number of years; t = 5 years

The formula to find the monthly payment is;

M = P[(r/n) * (1 + (r/n))^(nt)]/[((1 + (r/n))^(nt)) - 1]

Plugging in the relevant values gives;

M = 18000[(0.062/12) * (1 + (0.062/12))^(12 * 5)]/[((1 + (0.062/12))^(12 * 5)) - 1]

Solving this with a calculator gives us;

M = $349.67

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Each cube represents 1 cubic inch. What is the volume if the prism?​

Answers

Answer:

12 in³

Step-by-step explanation:

Its made up of 12 (4×3 = 12) cubes of 1 in³ each

So 12 × 1 = 12 in³

What is the inverse of f(x)= 9x-8

Answers

Answer:

f^-1(x) = (x + 8) / 9

Step-by-step explanation:

Step 1:  Set y to x and x to y

y = 9x - 8

x = 9y - 8

Step 2:  Solve for y

x + 8 = 9y - 8 + 8

(x + 8) / 9 = 9y / 9

(x + 8) / 9 = y

Step 3:  Rename y to f^-1(x)

f^-1(x) = (x + 8) / 9

Answer: f^-1(x) = (x + 8) / 9

The inverse of the function f(x) = 9x - 8 is f^-1(x) = (x + 8) / 9.

To find the inverse of the function f(x) = 9x - 8, follow these steps:

First, replace f(x) with y. So, we have y = 9x - 8.

Next, solve for x. To do this, swap x and y to get x = 9y - 8.

Now, isolate y by adding 8 to both sides, resulting in x + 8 = 9y.

Finally, divide both sides by 9 to solve for y, giving y = (x + 8) / 9. This is the inverse function.

To denote the inverse, we replace y with f-1(x), resulting in f-1(x) = (x + 8) / 9.

In the last election, Candidate C received 15,000 fewer votes than candidate B. If a total of 109,000 votes were cast, how many votes did candidate B receive? What is the equation for this problem and what is the answer to it?

Answers

Answer:

B receives 62000 votes

C receives 47000 votes

Step-by-step explanation:

Let C be the vote for candidate C

Let B be the vote for candidates D

Let the total vote be T. Therefore,

C + B = T (1)

But C receives 15000 votes fewer than B ie

C = B —15000 (2)

Total votes, T = 109000

Substituting the value of C and T into equation 1

C + B = T

B — 15000 + B = 109000

Collect like terms

B + B = 109000 + 15000

2B = 124000

Divide both side by the coefficient B i.e 2

B = 124000/2

B = 62000

Putting the value of B into equation 2;

C = B —15000

But B = 62000

C = 62000 — 15000

C = 47000

B receives 62000 votes

C receives 47000 votes

solve -5 + w/3 = -1
12
-12
2
-2

Answers

Add 5 to the -1=4 then multiply by 4 and you get 12

Answer:

Option A, 12

Step-by-step explanation:

Step 1:  Add 5 to both sides

-5 + w/3 + 5 = -1 + 5

w / 3 = 4

Step 2:  Multiply both sides by 3

w/3 * 3 = 4 * 3

w = 12

Answer:  Option A, 12

You and a friend race each other. You give your friend a 50-foot head start. The distance y (in feet) your friend runs after x seconds is represented by the linear function y=14x+50. The table shows the distances you run.



a. Who runs at a faster rate? What is that rate?

response - correct
You run faster.


Question 2
The rate is
feet per second.

b. Write a linear function that relates your distance to the number of seconds. In the same coordinate plane, graph the linear functions that represent the distances of you and your friend.

y=


Question 3
Time (seconds)Distance (feet)

Question 4
c. For what distances will you win the race? Explain.

response - correct
You catch up to your friend after you run 190 feet, so you will be ahead of him for any distance greater than 190 feet. I just need the answer for question 4 plz.

Answers

Answer:

You catch up to your friend after you run 190 feet, so you will be ahead of him for any distance greater than 190 feet.

Step-by-step explanation:

Solve for X, and graph
8. - 6x + 14 <-28 OR 9x + 15 <- 12

Answers

For this case we must indicate the solution set of the given inequalities:

[tex]-6x + 14 <-28[/tex]

Subtracting 14 from both sides of the inequality we have:

[tex]-6x <-28-14\\-6x <-42[/tex]

Dividing by 6 on both sides of the inequality:

[tex]-x <- \frac {42} {6}\\-x <-7[/tex]

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

[tex]x> 7[/tex]

Thus, the solution is given by all values of x greater than 7.

On the other hand we have:

[tex]9x + 15 <-12[/tex]

Subtracting 15 from both sides of the inequality we have:

[tex]9x <-12-15\\9x <-27[/tex]

Dividing between 9 on both sides of the inequality we have:

[tex]x <- \frac {27} {9}\\x <-3[/tex]

Thus, the solution is given by all values of x less than -3.

Finally, the solution set is:

(-∞, - 3) U (7,∞)

Answer:

(-∞, - 3) U (7,∞)

Find the sizes of the angles marked with a letter.
Why is my answer wrong?

Answers

Answer:

29.28 degrees.

Step-by-step explanation:

sin x / 16.2 = sin 49 / 25

Cross multiply:

25 sin x = 16.2 * sin 49

sin x = (16.2 * sin 49) / 25

sin x = 0.48905

x = 29.28 degrees.

Suppose William and Donald both drive the same car, and have the same
deductible for car insurance. If William drives an average of 12,000 miles a
year and Donald drives an average of 15,000 miles a year, who is most likely
to pay a higher annual premium?

Answers

Answer: William

Step-by-step explanation: This is true because whichever has a better gas mileage pays less, so the bigger number per year has better mileage, so 15,000 would have better which is Donald, and William has 12,000 which is worse, so he would have to pay more.

Answer: Donald

Step-by-step explanation:

Un observador se acerca con una velocidad de 15m/s a un parlante estático que está emitiendo un sonido con una frecuencia de 297 Hz. ¿Cuál es la frecuencia percibida por el observador?

Answers

Answer:

310 Hz

Step-by-step explanation:

This is a spanish language mathematical question.

We translate this to english:

An observer approaches a static speaker at 15 meters per second. The speaker is emitting a sound with a frequency of 297 Hz. What is the frequency perceived by the observer?

Solution:

This can be solved using doppler effect formula. Which is:

[tex]f=(\frac{c}{c+V_s})f_0[/tex]

Where

f is the observed frequency (297 Hz)

c is the speed of sound  (343 m/s)

[tex]V_s[/tex] is the velocity of source (given as 15)

[tex]f_0[/tex]  is what we want to find

Now, substituting, we solve:

[tex]f=(\frac{c}{c+V_s})f_0\\297=(\frac{343}{343+15})f_0\\297=(0.9581)f_0\\f_0=309.99[/tex]

Rounding,

We can say the perceived frequency would be around 310 Hz

Y=5x+20
Y=-7x-16
Solve each system by substitution

Answers

Answer:

x=3

y=35

Step-by-step explanation:

5x+20=-7x-16

-16+20=4

5x=-7x+4

5x+7x= 12x

12x=4

12/4=3

Answer: x =  -3 ; Y = 5

Step-by-step explanation:

Y=5x+20

Y=-7x-16

5x+20  = -7x-16

5x+ 7x = -16 - 20

12x = - 36

x = -36 / 12

x =  -3

Y=5x+20

Y = 5.(-3) + 20

Y = - 15+20

Y = 5

Which of the following is a statistical question?

 A. 

How many hours do students in Mr. Brown's class typically spend on homework?

 B. 

What is Andy’s shoe size?

 C. 

What is the room temperature of Charlie's house?

 D. 

How much did Ashley pay for her smart phone?


Answers

The answer to your question is A

If f(x) = 3x5 - 5x4 + 29, find f(-1).

Answers

f(-1) = 3((-1)^5)-5((-1)^4)+29 = -3-(5)+29 = 21

answer: 21

Answer:

The value of f(-1) is 21

Step-by-step explanation:

Given:

[tex]f(x) = 3x^5 - 5x^4 + 29[/tex]

Finding f(-1)

        [tex]f(-1)=3(-1)^5-5(-1)^4+29\\\\[/tex]

Multiplying '-1' odd times gives -1 and even times gives '1'

       [tex]f(-1)=3(-1)-5(1)+29\\\\f(-1)=-3-5+29\\\\f(-1)=-8+29\\\\f(-1)=21\\[/tex]

The value of f(-1) is 21

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