Choose the graph that represents the following set.
the whole numbers greater than 3

Answer:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Step-by-step explanation:

To calculate percentage change, we can use the following formula:

[tex]\text{Percentage Change =} \dfrac{\text{New value - Old Value}}{\text{Old Value}} \times 100[/tex]

Positive value of percentage change means increase and

Negative value of percentage change means decrease.

Solution a)

Old Value = 1

New Value = 2

[tex]\text{Percentage Change =} \dfrac{\text{2 - 1}}{\text{1}} \times 100\\\Rightarrow 100\%[/tex]

Increase of 100%

Solution b)

Old Value = 2

New Value = 3

[tex]\text{Percentage Change =} \dfrac{\text{3 - 2}}{\text{2}} \times 100\\\Rightarrow 50\%[/tex]

Increase of 50%.

Solution c)

Old Value = 3

New Value = 2

[tex]\text{Percentage Change =} \dfrac{\text{2 - 3}}{\text{3}} \times 100\\\Rightarrow -33.33\%[/tex]

Decrease of 33.33%.

Solution d)

Old Value = 2

New Value = 1

[tex]\text{Percentage Change =} \dfrac{\text{1 - 2}}{\text{2}} \times 100\\\Rightarrow -50\%[/tex]

Decrease of 50%.

Solution e)

Old Value = 1

New Value = 3

[tex]\text{Percentage Change =} \dfrac{\text{3 - 1}}{\text{1}} \times 100\\\Rightarrow 200\%[/tex]

Increase of 200%.

Solution f)

Old Value = 3

New Value = 1

[tex]\text{Percentage Change =} \dfrac{\text{1 - 3}}{\text{3}} \times 100\\\Rightarrow -66.67\%[/tex]

Decrease of 66.67%.

So, the answer is:

(a) Increased by 100%

(b) Increased by 50%

(c) Decreased by 33.33%

(d) Decreased by 50%

(e) Increased by 200%

(f) Decreased by 66.67%

Answer:

57 degree

Step-by-step explanation:

AB^2 = AC^2+CB^2-2ACCBcosC

AB=25cm

BC^2=AB^2+AC^2-2ABACcosA

A=56.6 degree

Answer: f(x)=(x+3)^2-13 = (-3|-13)

Step-by-step explanation:

x^2+6x-4

x^2+6x+3^2-3^2-4

(x+3)^2-3^2-4

(x+3)^2-13

Answer:

B. 78.5 feet

Step-by-step explanation:

The circumference of a circle can be found using the following formula.

c=πd

We know that the diameter is 25 feet. We also know we are using 3.14 for pi.

d=25

π=3.14

Substitute these values into the formula.

c=3.14*25

Multiply the two numbers together

c=78.5

Add appropriate units. Circumference uses the same units as the diameter. The diameter is 25 feet, so the units are feet.

c=78.5 feet

The circumference of the circle is 78.5 feet, and the correct answer is B

The right answer is 78.5ft

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Answer:

The slope of wholesale table is 3/4 times of the slope of the Public table

Step-by-step explanation:

Answer:

The slope of wholesale table is 3/4 times of the slope of the Public table

Step-by-step explanation:

because

Answer:

A

Step-by-step explanation:

Because the angle with measure 124 degrees and angle y are a linear pair, their values must add up to 180 degrees. Therefore, y=180-124=56 degrees. Since all of the angles in a quadrilateral add up to 360 degrees, x must be 360-56-65-125=114 degrees. This means that the correct answer is choice a. Hope this helps!

Answer:

125.7 mm

Step-by-step explanation:

Circumference=πd=π·40≈125.66371 mm

Answer:24

Step-by-step explanation:

First solve:

800*5 = 4,000

Then:

96 divided by 4,000 = 0.024

0.024 in percent = 24%

Thus, 24% will be your answer

Answer:

3 miles

Step-by-step explanation:

First, we find the rate at which she drives, that is her speed.

Speed is given as:

speed = distance / time

When Cara drives to work, it takes her 30 minutes to drive 15 miles. Her speed is:

s = 15 / 30 = 0.5 miles per minute.

She drives at the same rate to The Dreamy Donut Shop and it takes her 6 minutes.

From the formula of speed, distance is given as:

distance = speed * time

Therefore, the distance of The Dreamy Donut Shop is:

distance = 0.5 * 6 = 3 miles

The Dreamy Donut Shop is 3 miles away.

Answer:

The answer is 3 miles

Step-by-step explanation:

Answer:

x=2

y=2

Step-by-step explanation:

Answer:

[tex]\large \boxed{y = x + 5; y = -x + 1}[/tex]

Step-by-step explanation:

This is an isosceles right triangle, so triangles ABD and CBD are congruent.

∠ ABD = ∠CBD = 45°

The slope of BC = tan(45°)  =  1, and

The slope of BA = tan(-45°) = -1.

1. Equation of BC

The point-slope formula for a straight line is

y - y₁ = m(x - x₁)

x₁ = -2; y₁ = 3; m = 1  

Substitute the values

[tex]\begin{array}{rcl}y - 3 & = & 1(x - (-2))\\y - 3 & = & x + 2\\y & = & x + 5\\\end{array}\\\text{The equation for the line is $\large \boxed{\mathbf{y = x + 5}}$}[/tex]

2. Equation of BA

x₁ = -2; y₁ = 3; m = -1  

Substitute the values

[tex]\begin{array}{rcl}y - 3 & = & -1(x - (-2))\\y - 3 & = & -1(x + 2)\\y - 3 & = & -x - 2\\y & = & -x +1\\\end{array}\\\text{The equation for BA is $\large \boxed{\mathbf{y = -x + 1}}$}[/tex]

An isosceles right triangle has two equal length legs and the hypotenuse side as its base

The equation of the sides of the isosceles right triangle are;

x = 0 (equation of the base)

y = 1 - x

y = x + 5

The reason for arriving at the above equations are as follows:

The given parameters of the isosceles right triangle are:

The coordinate of the vertex of the triangle = (-2, 3)

The base of the triangle, x = 0

The required parameter:

The equation of the sides of the isosceles triangle

Strategy:

Define the terms and relate the given information with the given term definitions

Solution:

The base of an isosceles triangle is the side that form the equal base angles with the two equal sides of the triangle

In an isosceles right triangle, the two equal sides of the right triangle are the legs of the right triangle, and therefore, the base of the triangle is the hypotenuse side

The base angles of an isosceles right triangle, [tex]\theta _b[/tex] = 45°

The altitude of the triangle, y = (0 - (-2) = 2

The altitude is a perpendicular bisector of the base, therefore;

[tex]tan(\theta _b) = \dfrac{Altitude}{\dfrac{1}{2} \times Base \ length }[/tex]

Therefore;

[tex]Base \ length = \dfrac{Altitude}{\dfrac{1}{2} \times tan(\theta _b)}[/tex]

We get:

[tex]\mathbf{Base \ length} = \dfrac{2}{\dfrac{1}{2} \times tan(45^{\circ})} \mathbf{= 4~}[/tex]

The coordinate of the midpoint of the base is the horizontal line from the vertex to the base, and therefore, the coordinate of the midpoint of the base is x = 0, and y = 3 = (0, 3)

The base is 4 units long and half the base length = 4/2 = 2 units

The coordinates of vertex at the base is given by adding or subtracting 2 from the y-coordinates of midpoint of the base as follows;

Vertex coordinates at the base = (0, 3 + 2) = (0, 5), and (0, 3 - 2) = (0, 1)

The slope, m₁, of the side, s₁, with endpoints (-2, 3), and (0, 1), is found as follows;

m₁ = (1 - 3)/(0 - (-2)) = -1

Therefore, the equation of the side s₁ is (y - 1) = -1·(x - 0), which gives;

y = -x + 1

The slope, m₂, of the side, s₂, with endpoints (-2, 3), and (0, 5), is found as follows;

m₂ = (5 - 3)/(0 - (-2)) = 1

Therefore, the equation of the other side s₂ is (y - 5) = 1·(x - 0), which gives;

y = x + 5

The equation of the sides are; x = 0 (given), y = 1 - x, and y = x + 5

Learn more about finding the equation of a line here:

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Answer:

150 miles

Step-by-step explanation:

In this problem, we are only interested in the distance that Lauren drove, this means that her average speed (75 mph to the cost, and 25 mph on the way back) does not matter since the distance remains the same. If one leg of trip is 75 miles long, the total mileage for the round trip is:

[tex]M=75+75\\M=150\ miles[/tex]

Lauren drove 150 miles.

Answer:

A

Step-by-step explanation:

To find the product of these matrices, what we need to do is to multiply whatever we have at a specific position in the first matrix by that which we have in the same position in the other matrix.

Thus, we have the following;

(1 * -2) (3 * 1)

(-2*3). (5 * 4)

(-2) (3)

(-6). (20)

This makes option A correct

Answer:

[tex]40[/tex] °

Step-by-step explanation:

[tex]tan(x)=\frac{8}{10} \\x=tan^{-1} (\frac{8}{10} )[/tex]

[tex]x=38.65980825[/tex]

Answer:

38.7

Step-by-step explanation:

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320 = 3x + 16

-16 from both sides

304 = 3x

/3 on both sides

x = 304/3

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Answer:

T = i or -i

Step-by-step explanation:

Consider these steps:

t^2 = -1

t = √-1 or  -√-1

t =  i or -i

Answer:

£84

Step-by-step explanation:

The total cost of the dishwasher is: £372

The deposit she makes is: £36

Thus, she still has to pay the following amount:

£372 - £36 = £336

And this amount will be divided into 4 equal monthly payments. So, we must divide the amount that she still has to pay by 4.

Each one of this monthly payments will have a value of:

£336 ÷ 4 = £84

the answer is that each monthly payment will be of £84

Answer:

(3x +4)²

Step-by-step explanation:

I think of a number x, then i multiply it by 3, add 4 and square the result.

Representing this mathematically,

x * 3= 3x

Then add 4 which will be 3x + 4

Squaring the result would be (3x +4)².

So, if we give our unknown which is x the value of say, 3.

Substituting the value of x into that equation would be easy.

(3 (3) +4)²

= (9 + 4)²

= (11)²

=132.

Answer:

54 square feet

Step-by-step explanation:

Area of a triangle is A = 1/2b*h

A = 1/2(9)(12)

A = 1/2(108)

A = 54 square feet

Answer:

3x^2+4x+2

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The quotient obtained by dividing the expression (3x³+10x²+10x+4) divided by (x+2) is 3x²+4x+2

A division is a process of splitting a specific amount into equal parts.

We are asked to find the quotient obtained by dividing the expression

(3x³+10x²+10x+4) divided by (x+2)

We can also write this expression as i.e. we are asked to find the value of the expression:

3x³+10x²+10x+4/x+2

We can write the expression on the numerator as:

3x³+10x²+10x+4=(3x²+4x+2)(x+2)

Divide both sides by x+2

3x³+10x²+10x+4/x+2=3x²+4x+2(x+2)/x+2

3x³+10x²+10x+4/(x+2)=3x²+4x+2

Hence, the quotient obtained by dividing the expression (3x³+10x²+10x+4) divided by (x+2) is 3x²+4x+2

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Answer:

The answer would be B

Step-by-step explanation:

So you have a totl of 50 rings. You would then add the blue and yellow ones to get 20. Then you divide 20 by 50 and get .4 which is equivalent to 2/5

Answer:

B

Step-by-step explanation:

I agree that the answer is B

Answer:

$5979

Step-by-step explanation:

8.25% = 0.0825

1.0825^11 = 2.3917

2.3917 * 2500 = 5979.25 = 5979

Answer:

Step-by-step explanation:

Notice that she already painted one face of each cube, that is, 8 faces in total, and she used 24 grams for that.

Now, there remain 3 faces per cube to be painted, which means there are 24 faces.

Then, we use the rule of three, if she used 24 grams of paint for 8 faces, how much grams of paint she would need to paint 24 faces?

[tex]24 \times \frac{24}{8}= 72 \ grams[/tex]

Therefore, Amanda needs 72 grams of paint for the unpainted surfaces.

Answer: 30×2n=C

Step-by-step explanation:

30$ is flat fee so no variable

2$ dollars per person so "n" (the number of people) is times 2

= the final cost (C)

Step-by-step explanation:

a) Let 'm' represents score in a Mathematics test. The variable has a fixed value because the marks Sarah obtained in her test will not change

b) Let 'd' represent the distance between the Zen house and the school. The variable has a fixed value because by using the same route, the distance will always remain constant.

c) Let 't' represent the temperature on the summit of Mount Everest. The variable has a changed value because the temperature may alter depending on the time of day and also climatic conditions which will affect the temperature.

Answer:

[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]

Step-by-step explanation:

Given: [tex]EG =59 \,\,units[/tex]

To find: [tex]x,EF,FG[/tex]

Solution:

From the image, [tex]EG=EF+FG[/tex]

Put [tex]EF=8x-14\,,\,FG=4x+1\,,\,EG=59[/tex]

[tex]8x-14+4x+1=59\\12x-13=59\\12x=59+13\\\\12x=72\\x=\frac{72}{12}=6[/tex]

[tex]EF=8x-14=8(6)-14=48-14=34\\FG=4x+1=4(6)+1=24+1=25[/tex]

Therefore,

[tex]x=6\,\,units\,,\,EF=34 \,\,units\,,\,FG=25\,\,units[/tex]

Subtracting [tex]2x[/tex] from both sides gives us the false statement [tex]2=3,[/tex] so this equation can never be true and thus has no solutions.

Answer:

(−8x+1)(x+2)

Step-by-step explanation:

−8x^2−15x+2

−8x^2−15x+2

=(−8x+1)(x+2)

Answer:

(−8x+1)(x+2) Hope this helps!

Answer:

(-8x-1)(x-2)

Step-by-step explanation:

[tex]-8x^{2} +15x + 2=-8x^{2} +16x - x + 2[/tex]

-8x(x-2)-1(x-2)= (-8x-1)(x-2)

Answer:

A complementary angle are angles that add up to 90 degrees.  For example, a 30 degree angle and a 60 degree angle are complementary angles because 30+60=90

Step-by-step explanation:

Answer:

Complementary angles are angles that add to a total of 90 degrees. An example of complementary angles are 44 and 46 degrees, because they sum to 90! Hope this helps you out!