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For which equation is x = 5 a solution
A. 2 + x = 3
B. 3x = 15
C. x/2 = 10
D. x - 7 = 12

Answer: The measurement of angle B is 50 degrees

Step-by-step explanation: we know all triangles add up to 180 degrees so substitute 40 with a degrees and solve

Step-by-step explanation:

According to the Triangle Sum Theorem, all angles in triangle are sum of 180⁰. This means that m<a + m<b + m<c = 180⁰. You will first solve for a.

m<a + m<b + m<c = 180⁰

2a⁰ + a + 10⁰ + a⁰ = 180⁰ combine like terms.

2a⁰ + a + a⁰ + 10⁰ = 180⁰

4a⁰ + 10⁰ = 180⁰ subtract 10 from both sides.

4a⁰ + 10⁰ - 10⁰ = 180⁰ - 10⁰

4a⁰ = 170⁰ Divide 4 from both sides.

4a⁰ / 4 = 170⁰ / 4

a = 42.5⁰

Now that you found a, plug 42.5⁰ in place of in all angles and solve.

m<a :-

2a⁰

2(42.5)⁰

85⁰

m<b :-

a + 10⁰

42.5⁰ + 10⁰

52.5⁰

m<c :-

a⁰

42.5⁰

m<a = 85⁰

m<b = 52.5⁰

m<c = 42.5⁰

Remember that all angle must sum up to 180⁰ in a triangle. So we will now add all of our angle to find it if it equals 180⁰.

m<a + m<b + m<c = 180⁰

85⁰ + 52.5⁰ + 42.5⁰ = 180⁰

180⁰ = 180⁰

Thus, m<b = 52.5⁰.

Hope this helps, thank you :) !!

Answer:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Step-by-step explanation:

Column A                                            Column B

1. x² + 6x + 8                                        x-3,x+2

2. x³ - 7x + 6                                       x+1, x+2, x+3

3. x³ - 2x² - 5x + 6                              x-1, x+2, x-3

Using Factor theorem we put values of x = ±1,±2,±3 in each of the polynomials unless we get a zero.

1. x² + 6x + 8      

= 1+6(1) +8= 15

1. x² + 6x + 8

  4+ 12+8 = 24

1. x² + 6x + 8

 (-1)² + 6(-1)+ 8

= 1-6+8= 3

1. x² + 6x + 8

 (-2)² + 6(-2)+ 8

= 4-12+8= 0

1. x² + 6x + 8

(3)²+ 6(3) +8

= 9+18+8 ≠ 0

1. x² + 6x + 8

(-3)²+ 6(-3) +8

= 9-18+8 =-1

For this polynomial we have x+2= 0 or x=-2, x-3= 0 , x=3

2. x³ - 7x + 6

1-7+6= 0

2. x³ - 7x + 6

(-1)³-7(-1) +6

= 13-1≠0

2. x³ - 7x + 6

(2)³-7(2) +6

= 8-14+6= 0

2. x³ - 7x + 6

(-2)³-7(-2) +6

= -8 +14+6

2. x³ - 7x + 6

(-3)³-7(-3) +6

= -27+21+6 = 0

For this polynomial we have x+1= 0 , x+2 = 0  and x+3= 0, or x=-1,-2,-3

3. x³ - 2x² - 5x + 6

(1)³-2(1)²-5(1)+6

= 0

3. x³ - 2x² - 5x + 6

(-1)³-2(-1)²-5(-1)+6

= -1 -2 +5+6

=8

3. x³ - 2x² - 5x + 6

(2)³-2(2)²-5(2)+6

= 8-8-10+6

=-4

3. x³ - 2x² - 5x + 6

(-2)³-2(-2)²-5(-2)+6

= -8-8+10+6

=0

3. x³ - 2x² - 5x + 6

(3)³-2(3)²-5(3)+6

= 27-18-15+6

=0

3. x³ - 2x² - 5x + 6

(-3)³-2(-3)²-5(-3)+6

= -27-18+15+6

=-14

For this polynomial we have x-1= 0 ,x+2=0, x-3= 0or x=1,-2,3

A factor in an experiment that changes from the manipulation of the independent variable is the dependent variable.

In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables. Dependent variables are so-called because, during an experiment, their values are examined on the assumption or presumption that they are governed by the values of other variables.

The variable being measured or tested in an experiment is known as the dependent variable. 1 The results of the participants' tests, for instance, since that is what is being measured, would be the dependent variable in a study looking at how tutoring affects test scores.

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Answer:

\( - 10(n + 6) \\ - 10n + 60 \: \: \: answer\)

Step-by-step explanation:

please mark me brainliest

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

According to the statement seen in this question, the line segments RT and  ST are collinear to each other. Mathematically speaking, the length of the line segment ST can be found by using the following formula:

RT = RS + ST

ST = RT - RS

ST = 19 - 6

ST = 13

Under the consideration of collinearity of two line segments, the length of the line segment ST is equal to 13.

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Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete, the complete question is Suppose you revolve the plane region completely about the given line to sweep out a solid of revolution. Describe the solid. Then find its surface area in terms of pi.

i) about the y axis

ii) about the x axis

Also the image is attached below.

Answer:

i) about the y axis

If it is revolved about the y axis, the solid produced is a cone with a radius of of 4 units (r = 4) and a height of 3 units (h = 3). The surface area of the cone is:

Surface area = πr (r + √(r² + h²)) = π × 4 (4 + √(4² + 3²)) = 4π (4 + √25) = 4π (4 + 5) = 4π × 9 = 36π unit²

ii) about the x axis

From the image attached, If it is revolved about the x axis, the solid produced is a cone with a radius of of 3 units (r = 3) and a height of 4 units (h = 4). The surface area of the cone is:

Surface area = πr (r + √(r² + h²)) = π × 3 (3 + √(4² + 3²)) = 3π (3 + √25) = 3π (3 + 5) = 3π × 8 = 24π unit²

Answer:

3 layers

Step-by-step explanation:

Given

\(L = 1cm\) --- side length of the cube

Each layer = 2 * 2 cube

\(Volume = 24cm^3\)

Required

Determine the number of layers

First, we calculate the volume of each layer:

The length of the layer is:

\(Length = 2 * L\)

\(Length = 2 * 1cm\)

\(Length = 2cm\)

Next, we calculate the volume of each layer:

\(Volume = Length^3\)

\(Volume = (2cm)^3\)

\(Volume = 8cm^3\)

The number of layer is calculated by dividing the volume of the tower by the volume of each layer

\(Layers = \frac{24cm^3}{8cm^3}\)

\(Layers = 3\)

Answer:x^4 +y+1

Step-by-step explanation:

This is an isosceles triangle, meaning that two sides and angles are the same.

x + x + 28 = 180

2x = 152

x = 76

76 degrees

using the Pythagorean Theorem, 4^2 + h^2 = 9^2

h = sqrt(65), area is 8*sqrt(65)/2 = 4*sqrt(65)

we can also check using heron's formula. area = sqrt(s(s-a)(s-b)(s-c)) = sqrt(13*4*4*5).

Answer:

let A (2, 6) be (x1, y1)

B (-5, 2)  be (x2, y2)

distance AB =√[(x2 - x1)² + (y2 - y1)²]

                    √[(-7)²+ (-4)²]

                   √65

The rate of change in Ryan's mileage during these twelve weeks was 16 miles per week.

To find the rate of change in Ryan's mileage during the twelve weeks between the end of March and the total mileage of 492 miles, we need to determine how many miles he walked during this period.

The first step is to subtract Ryan's mileage at the end of March from his total mileage for the year:

492 miles - 300 miles = 192 miles

We know that this 192 miles represents the distance Ryan walked during the twelve weeks between the end of March and the end of the year.

To find the rate of change, we need to divide the change in mileage (192 miles) by the number of weeks it took for Ryan to walk this distance (12 weeks):

192 miles / 12 weeks = 16 miles/week

Therefore, the rate of change in Ryan's mileage during these twelve weeks was 16 miles per week.

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The graph which could represent an inequality which begins with y < .... is; Choice C; C.

It follows from the task content that the graph which could represent an inequality that begins with y < ..is required to be determined.

Since the inequality symbol is less; it follows that the boundary line for the inequality would be a broken line and the region shaded is the region below the line.

Ultimately, the graph that could represent the inequality is; Choice C; C.

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Answer:

False.

Step-by-step explanation:

Using the property of distribution, (a + b)² will be a² + b², never a² + b.

No, for any two integers a and b, (a + b)² ≠ a² + b is a false statement.

For the given two integers a and b,

The given expression

(a + b)² = a² + b (false statement)

The correct statement is-

(a + b)² = (a + b)(a + b)

(a + b)² = a² + b² +  2ab

Thus, no, for any two integers a and b, (a + b)² ≠ a² + b.

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Answer:

First, we need to convert all the measurements to the same unit. Let's convert everything to inches, since the formula for the volume of a cylinder uses inches:

12 in = 12 in

14 in = 14 in

12 in = 12 in

4 in = 4 in

The object consists of a cylinder with a radius of 4 inches and a height of 12 inches, and a hemisphere with a radius of 4 inches. To find the volume of the object, we need to find the volume of the cylinder and the hemisphere, and then add them together.

Volume of the cylinder:

V_cyl = πr^2h

V_cyl = π(4 in)^2(12 in)

V_cyl = 192π in^3

Volume of the hemisphere:

The volume of a hemisphere is given by:

V_hemi = (2/3)πr^3

Since the radius is 4 inches, we have:

V_hemi = (2/3)π(4 in)^3

V_hemi = (2/3)π(64 in^3)

V_hemi = 128π/3 in^3

Total volume:

V_total = V_cyl + V_hemi

V_total = 192π in^3 + 128π/3 in^3

V_total = (576π + 128π)/3 in^3

V_total = 704π/3 in^3

Now we can substitute the value of π (3) to get the final answer:

V_total = 704π/3 in^3

V_total = 704(3)/3 in^3

V_total = 704 in^3

Therefore, the volume of the object is 704 cubic inches.

Answer:

fourth

Step-by-step explanation:

Angle X is the inscribed angle of the two arcs that measure 122 and 64 so

\(x = \frac{1}{2} (122 + 64)\)

\(x = \frac{1}{2} (186) = 93\)

A cyclic quadrilateral states that the opposite angles add up to 180

so

\(y = 18 0 - 83 = 97\)

The correct answer is the fourth option

Answer:

2

Step-by-step explanation:

Answer:

your awnser would be C

Step-by-step explanation:

Answer:

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean. In graph form, normal distribution will appear as a bell curve.

Answer: 130 marks

Step-by-step explanation:

There are 4 marks for every correct answer and there are 4 marks for each correct answer:

= 35 * 4

= 140 correct marks

There are -1 marks for every incorrect answer and there are 10 incorrect answers:

= 10 * -1

= -10 marks

Total score = 140 - 10

= 130 marks

Answer:

130 marks

Step-by-step explanation:

True, we can compare a model before using a transformation on x or y to a mode before using a transformation by using the corresponding values of the sum of squares error SSE.

      For example, to compare two models, one of which has a transformation on the outcome of the variable, that is:

First model\(y=x+z\)

Second model:\(y^{1/k} =x+z\)

The best logical approach might be to look at the comparative performance obviously with predicted transformed values back-transformed and then look at the models sum of squares error of these predictions. It has to be random predictions and comparisons because the error distributions are also transformed.

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-3^F

Hope this helps!!

Answer:

Computer Science is more harder so I would go with Precalculus.

The rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

What is a rationalized expression?

A rationalized expression is an expression that has been written in a simplified form which eliminates any radicals (square roots, cube roots, etc.) from the denominator. The denominator is made a rational number, meaning it can be expressed as a fraction with an integer numerator and denominator. This is done by multiplying both the numerator and the denominator by the radical of the denominator. This process is called rationalization.

The given expression is

                          \(=\frac{\sqrt{9}}{\sqrt{3}+ \sqrt{x} } \\\\=\frac{\sqrt{9} }{\sqrt{3} }+ \frac{\sqrt{9} }{\sqrt{x}}\\\\=\frac{3 }{\sqrt{3} }+\frac{\sqrt{9} }{\sqrt{x}}\\\\=\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\)

Hence, the rationalized expression would be \(\sqrt{3}+\frac{\sqrt{9} }{\sqrt{x}}\).

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Answer:

2992 or 2112

Step-by-step explanation:

$1,000 times 10% (0.1) = $100

$1,200 in a year.

$2,400 in a year + $1,000 originally = $3,400.

$3,400 * 0.12 = $408

#3,400 = $408 = $2,992.

Or..

$2,400 * 0.12 = $288

$2,400 - $288 = $2,112.

Answer:

b.

Step-by-step explanation:

Answer:

a. 6

b. 0 i think

Step-by-step explanation:

A histogram with a symmetric distribution looks like this:

Leaving aside the quality of the drawing, the left and the right side of the histogram are identical if we split it by the red line. Is like having a reflexion axis.

Now, we have to discuss what of the 2 data sets may have such an histogram. This means that we must think which of them may have the same number of ocurrences for very short and very long durations, for regular to short and regular to long durations, and so on and so furth.

Pop album tracks:

In the same album we may have arround 12 tracks (small number), all of them with a duration of arround 3 minutes. We could imagine a histogram like the following:

All the songs last between 170 and 190 seconds, and one or two last a little bit more.

Phone talks:

In this case, we can think that there are some calls to say something like "mom, I'm on my way home" and other like "let me tell you the hole movie I saw yesterday night", so very short and very long calls, but they are no so common. There are a lot of "regular" calls that might last for 60 seconds.

Also, in this case, we are taking into account all the calls from people in the school in one day (yesterday), so, may be 1.000 calls? The actual number really doesn't matter, but the fact that the number is very big. Because of the big number, we can expect a symmetric distribution.

Answer:

the slope is 3/2

The shortest distance from the point (2,1,1) to the plane x+y-z = 1 is √3/3.

To find the shortest distance from a point to a plane, we can use the formula d = |ax + by + cz + d|/√(a² + b² + c²), where (x, y, z) is any point on the plane and a, b, c, and d are constants obtained from the equation of the plane.

In this case, the equation of the plane is x + y - z = 1. We can rewrite this equation as z = x + y - 1, which means a = 1, b = 1, c = -1, and d = -1.

Now, we can plug in the values for the point (2,1,1) and the constants a, b, c, and d into the formula for distance:

d = |1(2) + 1(1) - 1(1) - 1|/√(1² + 1² + (-1)²)

d = √3/3

Therefore, the shortest distance is √3/3.

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If one pizza has an area of 500 cm squared and costs $5 and 99 cents, a pizza with a radius twice as big as the first pizza would cost $23.96.

The cost per square centimeter of area for the first pizza can be found by dividing its cost by its area:

Cost per square cm = 5.99 / 500 cm² = 0.01198 dollars/cm².

Let's assume that the second pizza has a radius twice as big as the first pizza. We know that the area of a circle is proportional to the square of its radius. Therefore, the area of the second pizza will be four times the area of the first pizza.

Area of second pizza = 4 × area of first pizza = 4 × 500 cm² = 2000 cm².

Now we can calculate the cost of the second pizza by multiplying its area by the cost per square cm:

Cost of second pizza = 2000 cm² × 0.01198 dollars/cm² = 23.96 dollars.

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The required equation models the cost of renting a moving truck for u-move-it based on the number of hours the truck is rented is C = 49 + 16(t - 1). Option A is correct.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
To determine the equation model for the cost of renting a moving truck for u-move-it based on the number of hours the truck is rented we need to put values on (specific one ordered pair in the given equation) to determine the correct equaiton model,

So, for hours of rented is 1.
For A,

C = 49 + 16(1 - 1) = 49   [satisfy the eqation]

Similarly,
For b
C = 16t = 16   [not satisfied]

For C,
C = 49 + 16t = 65   [not satisfied]

For D,
C = 49 + 16(t + 1) = 81  [not satisfied]

Thus, the required equation models the cost of renting a moving truck for u-move-it based on the number of hours the truck is rented is C = 49 + 16(t - 1) . Option A is correct.

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