Determine the value of the variable in the simplified expressions. What is the value of x in this simplified expression? x = What is the value of y in this simplified expression? y =

The correct option is D (-∞,-3)∪(-1,1)

Step-by-step explanation:

Given,

[tex]\frac{x^{2}-1 }{3x+9}[/tex] ≤ 0

To find the solution.

The solution could be found if

[tex]x^{2} -1[/tex] ≤ 0           and

3x+9 ≠ 0 [if the denominator is 0, it gives ∞ as solution]

Now,

[tex]x^{2} -1[/tex] ≤ 0

or, (x+1)(x-1) ≤0

or, x ≤1 and x≤-1

Both of the above condition holds is x≤1

Again,

3x+9≠0

or, x≠-3

All the conditions gold for the values (-∞,-3)∪(-1,1)

Hence the correct option is D.

Answer:

A  - reflection then rotation

Final answer:

The process of finding the surface area of a rectangular prism is similar to finding the surface area of a triangular prism. Both involve drawing a net and adding the areas of the faces. However, the formulas used are different because the shapes have different types of faces.

Explanation:

For both prisms, you can draw a net to help you find the areas of the faces. Add the areas together to find the surface area. A rectangular prism has only rectangular faces, and you use the formula bh to find area. A triangular prism has triangular and rectangular faces, and you use the area formula bh for rectangular faces and the area formula 1/2bh for triangular faces.

Answer:

A

Step-by-step explanation:

It has the least amount of area cut out of it.

Answer:

The answer would be A

Answer:

1,350

Step-by-step explanation:

To find Surface Area you need to area of all the sides and add them

So to find one side of the cube you do L x H

So 15 x 15 = 225

Since all the sides of the cube are the same, you don't need to figure out the area of the other sides.

225 x 6 sides = 1,350

Hope this helped

Answer:

no. 7 does

Step-by-step explanation:

brainlest please

x increases by three each time but y decreases less each time

Answer:

The distance the tornado traveled was approximately 205 miles.

Step-by-step explanation:

The equation representing the relationship between the wind speed (in miles per hour) and the distance the tornado travels (in miles) is:

[tex]s=93\log d+65[/tex]

Compute the value of d for s = 280 as follows:

        [tex]s=93\log d+65[/tex]

     [tex]280=93\log d+65[/tex]

[tex]93\log d=280-65\\93\log d=215[/tex]

   [tex]\log d=2.312\\[/tex]

        [tex]d=10^{2.312}\\d=205.035\\d\approx 205[/tex]

Thus, the distance the tornado traveled was approximately 205 miles.

Answer:

A

Step-by-step explanation:

Tangent = opposite/adjacent

The trigonometric function that can be used when given 2 sides that are not the hypotenuse is tangent.

The sides of a right angle triangle are as follows:

The simplest trigonometric ratio we can use to solve for the angles of a right angle triangle are as follows:

Therefore, the trigonometric function one can use to find the angle of a right angle triangle when given 2 sides apart from hypotenuse is tangent

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Answer:

From the info you give us it should be around 8.57 in. per book.

Step-by-step explanation:

5x12=60/7=8.57

Answer:

(ii) [tex] \frac{1}{2} - \frac{1}{3} [/tex]

(iii) [tex] \frac{25}{51} [/tex]

Step-by-step explanation:

Please see the attached picture for full solution.

Answer:

Step-by-step explanation:

270 degrees

Answer:

Probability of a train on line A arriving on time: 80%

Probability of any train arriving on time: 96%

Step-by-step explanation:

If 18 of the 90 incoming trains on line A arrive late, we have that 90 - 18 = 72 trains of the 90 arrive on time, so the probability of a train on line A arriving on time is:

P(A) = 72/90 = 0.8 = 80%

on line B, we have that 70 - 14 = 56 trains of the 70 arrived in time, so the probability of a train from line B arriving on time is:

P(B) = 56/70 = 0.8 = 80%

To find the probability of any train arriving on time, we can use this formula:

P(A or B) = P(A) + P(B) - P(A and B)

P(A or B) = 0.8 + 0.8 - 0.8*0.8

P(A or B) = 1.6 - 0.64 = 0.96 = 96%

The probability that a train on line A arrives on time is 0.8 or 80%. The probability that any train arrives on time, considering both line A and line B, is also 0.8 or 80%.

To calculate the probability that a train on line A arrives on time, we subtract the number of trains that arrive late from the total number of trains on line A:

Probability = (Total trains on line A - Trains on line A that are late) / Total trains on line A

Probability = (90 - 18) / 90

Probability = 72 / 90

Probability = 0.8 or 80%

To calculate the probability that any train arrives on time at the station, we need to consider the total number of trains arriving on time for both lines:

Total trains on time = (Total trains on line A - Trains late on line A) + (Total trains on line B - Trains late on line B)

Total trains on time = (90 - 18) + (70 - 14) = 72 + 56 = 128

Then, we divide the number of trains on time by the total number of trains:

Probability = Total trains on time / Total trains

Probability = 128 / (90 + 70)

Probability = 128 / 160

Probability = 0.8 or 80%

Answer:

First answer and last

Step-by-step explanation:

Explanation on paper

I got the first and last right

Answer:

y = 5x + 75

Step-by-step explanation:

"One time" = no change = constant

"per" = varies per person = variable

It is 5 dollars per ride, 5 dollars per x, 5x.

y = 5x + 75

Answer:

-9<-3

Step-by-step explanation:

Since -3 is closer to 0 than -9, then -3 is the greater number.

Answer: 39 miles

Step-by-step explanation:

Hi, since the travelling forms a right triangle, (see attachment) we have to apply the Pythagorean Theorem formula.

a^2 +b ^2 =c ^2

Assuming a and b are the distances driven, and c the direct direction formed (hypotenuse)

15^2 +36 ^2 =c ^2

225+1,296 =c ^2

1,521 =c ^2

√1,521= c

c= 39 miles

Feel free to ask for more if needed or if you did not understand something.

Answer:

39 miles

Step-by-step explanation:

Answer:

European explorers, like Christopher Columbus, were the first to cross the great oceans of the world.

Given:

In the given diagram

Each small box along X axis = 2 unit

Each small Box along Y axis = 2 unit

For rectangle:

Length = 16 unit

Width = 16 unit

For triangle 1

Base = 8 unit

Height = 6 unit

For triangle 2

Base = 8 unit

Height = 4 unit

For triangle 3

Base = 16 unit

Height = 12 unit

Formula

Area of the trapezoid is

[tex]A = R -T_{1} -T_{2} -T_{3}[/tex]

Where, [tex]A[/tex] be the area of the trapezoid

[tex]R[/tex] be the area of the rectangle

[tex]T_{1} ,T_{2} ,T_{3}[/tex] be the area of the triangle 1, 2 and 3 respectively.

[tex]R = lb[/tex] where, l be length and b the width

[tex]T_{1} = \frac{1}{2} bh[/tex], where, b be the base and h be the height

Now,

Taking, l = 16 and b = 16 we get,

[tex]R = (16)(16)[/tex] = 256 sq unit

For Triangle 1

Taking, b = 8 and h = 6 we get,

[tex]T_{1} = \frac{1}{2}(8)(6)[/tex] sq unit

[tex]T_{1} = 24[/tex] sq unit

For Triangle 2

Taking, b = 8 and h = 4 we get,

[tex]T_{2} = \frac{1}{2}(8)(4)[/tex] sq unit

[tex]T_{2} = 16[/tex] sq unit

For Triangle 3

Taking, b = 16 and h = 12 we get,

[tex]T_{3} = \frac{1}{2}(16)(12)[/tex] sq unit

[tex]T_{3} = 96[/tex] sq unit

Therefore,

The area of the trapezoid is = 256-24-16-96 sq unit = 120 sq unit

Hence,

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Answer:

Area of rectangle =256 square units

Area of triangle 1 = 24 square units

Area of triangle 2 = 16 square units

Area of triangle 3 = 96 square units

Area of trapezoid = 120 square units

Step-by-step explanation:

[tex]8x + 3(x + 5) - 5(x - 4) = 2 \\ 8x + 3x + 15 - 5x + 20 = 2 \\ 6x + 35 = 2[/tex]

Answer: A.

[tex]6x + 35 = 2[/tex]

Answer:

A

Step-by-step explanation:

8x + 3(x + 5) - 5(x - 4) = 2

Distribute the 3

8x  + 3*x +3*5 -5(x-4)=2

8x+3x+15 -5(x-4)=2

Distribute the -5

8x+3x+15 -5*x +-5*-4=2

8x+3x+15-5x+20=2

Combine like terms

8x+3x-5x+20+15=2

6x+35=2

So, A is the correct choice

Answer:

Step-by-step explanation:

Given that, the length of the chain is

L= 19m

And the mass of the chain is

M= 84kg

Work to raise the chains to a height of

H = 7m

Acceleration due to gravity

g = 9.8m/s²

Since the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = 4.42kg/m

So, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

So, workdone can be calculated using

Work = ∫F∆x

Work = ∫(W/L)•xdx.

Work = ∫43.33x dx. From x = 0 to 7

Work = 43.33 ∫x dx.

Work = 43.33 x²/2. From x = 0 to 7

Work = 21.66 [x²] from x = 0 to 7

Work = 21.66 ( 7²-0²)

Work = 21.66 × 49

Work = 1061.5 Joule

The workdone to lift the chain to 7m is 1061.5 J

"When work is done to lift the chain to 7m is 1061.5 J. To understand the calculations, check below".

Given that, the length of the chain as per the question is:

L= 19m

And also the mass of the chain is

Then M= 84kg

Now Work to raise the chains to a height of

After that H = 7m

Acceleration due to gravity

Then g = 9.8m/s²

Since When the chain is 19m long and it has a mass of 84kg

Then, it mass/ length is 84/19

M/L = [tex]4.42kg/m[/tex]

After that, it weight / length is mass / length × gravity

W/L = M/L × g

W/L = 4.42 × 9.8

W/L = 43.33 N/m

Then, work done can be calculated using

Work is = ∫F∆x

Work is = ∫(W/L)•xdx.

Then Work = ∫43.33x dx. From x = 0 to 7

After that Work = 43.33 ∫x dx.

Now Work = 43.33 x²/2. From x = 0 to 7

Work is = 21.66 [x²] from x = 0 to 7

Work is = 21.66 ( 7²-0²)

Then Work = 21.66 × 49

Hence Work = 1061.5 Joule

Therefore, The work done to lift the chain to 7m is 1061.5 J

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Answer:

4

Step-by-step explanation:

(2+2+8)/3

brainliest please

Answer:

42/7 = x/3

7x = 126

x = $18 for washing 3 cars

Step-by-step explanation:

Answer:

A. 54.28 ft^2

Step-by-step explanation:

Area of the parallelogram = 48 ft^2

Area of the semicircles = 6.28 ft^2

A = π r^2

A = 3.14 (2)

A = 3.14 (4)

A = 12.56

12.56 ÷ 2 = 6.28 ft^2

48 + 6.28 = 54.28 ft^2

Answer:

54.28 ft^2

Step-by-step explanation:

Answer:

[tex]3\sqrt{1089}=3\sqrt{3^2(11)^2}[/tex]

Step-by-step explanation:

Given : Expression [tex]3\sqrt{1089}[/tex]

To find : Select the expression that is equivalent to expression ?

Solution :

Re-write the expression as,

[tex]3\sqrt{1089}=3\sqrt{3\times 3\times 11\times 11}[/tex]

[tex]3\sqrt{1089}=3\sqrt{3^2\times 11^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(3\times 11)^2}[/tex]

[tex]3\sqrt{1089}=3\sqrt{(33)^2}[/tex]

[tex]3\sqrt{1089}=3\times 33[/tex]

[tex]3\sqrt{1089}=99[/tex]

The above are the possible equivalent expressions.

Answer:

A

Step-by-step explanation:

Answer:

x ≤ 8

Step-by-step explanation:

"Each" = variable

5 dollar each => 5x

You can spend 40 exactly or less, exactly => equal to

5x ≤ 40

5x/5 ≤ 40/5 (Divide both sides by 5)

x ≤ 5

Answer:

((1 - 6) + 8) * 8

(1 - (6 - 8)) * 8

((1 + 8) - 6) * 8

(1 + (8 - 6)) * 8

8 * ((1 - 6) + 8)

((8 + 1) - 6) * 8

(8 + (1 - 6)) * 8

8 * ((1 + 8) - 6)

((8 - 6) + 1) * 8

(8 - (6 - 1)) * 8

8 * ((8 + 1) - 6)

8 * ((8 - 6) + 1)

There are 12 solutions above

HOPE I HELPED!!!

<3

Answer:

(8-6+1)8=24

Step-by-step explanation:

Use order of operations to solve

The solution of a system of equations is (3,0).

A system of linear equations is a collection of one or more linear equations involving the same variables in mathematics. The system of linear equations appears to have a solution of (3, 0).

A linear equation is one in which the variable's maximum power is always 1.  The degree of the linear equation is always equal to one.

If a system of linear equations has two equations and a graph of these two equations intersect each other at (a,b), then the point (a,b) is the solution of that system of equations.

Since, the solution of a system of equations is (3,0), therefore on a coordinate plane, 2 lines intersect at (3, 0).

Therefore, the solution of a system of equations is (3,0).

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Final answer:

The system of linear equations with a solution of (3, 0) is the one where two lines intersect at the point (3, 0) on a coordinate plane.

Explanation:

The student is asking which system of linear equations appears to have a solution of (3, 0). In the context of a coordinate plane, the solution to a system of linear equations is the point where the equations' graphs intersect. The given options describe where two lines intersect on different coordinate planes. Only the option stating 'On a coordinate plane, 2 lines intersect at (3, 0)' would represent a system where the solution is (3, 0). Therefore, the correct answer is the one where two lines intersect at the point (3, 0) on a coordinate plane.

Answer:

B) 1/4x+1/2=1/3x

Hope this helps!