3 to the power of 5 equals 243. Explain how to use that fact to quicky evaluate 3 to the power of 6.

Answer:

Hey there!

CarMart's rate of sales is 11 cars per day.

Winston's rate of sales is 10 cars per day.

Compared with CarMart, Winston is selling fewer cars per day.

Compared with CarMart, Winston started with 2 fewer cars.

Let me know if this helps :)

Answer:

CarMart's rate of sales is 11 cars in a day.

Winston's rate of sales is 10 cars in a day.

Compared with CarMart, Winston is selling less cars in a day.

Compared with CarMart, Winston started with two fewer cars.

Step-by-step explanation:

Answer:

184

Step-by-step explanation:

[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]

[tex]\\ \sf\longmapsto 48\℅[/tex]

Answer:

-7

Step-by-step explanation:

The relative minimum is the smallest y value

The relative minimum is -7

Answer: [tex]9.18 x 10[/tex]⁷[tex]tons[/tex]

Step-by-step explanation:

Given: The amounts of paper waste generated in a region during two years were 41,300,000 tons and 50,500,000 tons.

Then, the total paper waste generated over these two years in the region :-

[tex]41,300,000 + 50,500,000 = 91,800,000[/tex]

In scientific notation,

[tex]91,800,800 = 9.18 x 10[/tex]⁷

Hence, the total paper waste generated over these two years in the region =

[tex]9.18 x 10[/tex]⁷  [tex]tons[/tex]

Answer:

cos y = r/q

Step-by-step explanation:

If we know sin y = 7/q, then we know that the base is 7 and the hypotenuse is q due to sine = opposite/hypotenuse.

If we know tan y = 7/r, then we know that the base is 7 and the right side is r due to tan = opposite/adjacent.

Cos = adjacent / hypotenuse

So cos y = r/q, because the right side is r and the hypotenuse is q.

Answer:

ignore sorry

Step-by-step explanation:

Shape 1: TRIANGLE

Formula: A = 1/2 x bh

1/2 x (10)(5) = 25

AREA: 25 square yards

Shape 2: RECTANGLE

Formula: A = lw

(12)(10) = 120

AREA: 120 square yards

Sum (ADD)

25 yd^2 + 120 yd^2 = 145 yd^2

The area of the composite figure is 145 yd^2

Answer:

A. 9%; $440.36 million

Step-by-step explanation:

Using A(1+r)t, we can subtract 1-1.09=.09*100=9%.

That means the projected annual growth is 9%

Now we can calculate the worth of the company by replacing t=8, 2008-2000=8

[tex]w=221(1.09)^8\\=440.356=440.36 million[/tex]

Answer:

In 3 - 5:  

3 + (-5), and -5 + 3

In 5 - 3:

5 + (-3), and -3 + 5

Step-by-step explanation:

Category : 3 - 5

Values must equal -2

3 + (-5) = 3 - 5 = -2

-5 + 3 = -2

Category : 5 - 3

Values must equal 2

5 + (-3) = 5 - 3 = 2

-3 + 5 = 2

If my answer is incorrect, pls correct me!

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-Chetan K

Answer:

Minimum candy Tyler gets = 32

Step-by-step explanation:

Given:

Number of candy in box = 50

Extra candy = 5

Find:

Minimum candy Tyler gets

Computation:

Assume.

Number of candy Tyler gets = x

Number of candy Jamie gets = x - 8

Total number of candy in box = 50 + 5 = 55

So,

Number of candy Tyler gets + Number of candy Jamie gets = Total number of candy in box

x + x - 8 = 55

2x = 63

x = 31.5

So,

Minimum candy Tyler gets = 32

Answer:

I would say b

Step-by-step explanation:

3 x 10^-4

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

Answer:

D. -4

Step-by-step explanation:

Using the general formula, [tex] m = \frac{f(b) - f(a)}{b - a} [/tex] , average rate of change for the quadratic function from x = 1 to x = 3, can be calculated as shown below:

Where,

[tex] a = 1, f(1) = -2 [/tex]

[tex] b = 3, f(3) = -10 [/tex]

Plug in the above values in the average rate of change formula:

[tex] m = \frac{-10 - (-2)}{3 - 1} [/tex]

[tex] m = \frac{-10 + 2}{2} [/tex]

[tex] m = \frac{-8}{2} [/tex]

[tex] m = -4 [/tex]

Average rate of change is D. -4

Answer:

3(4)to the 3

Step-by-step explanation:

Answer:

85.6 degrees.

Step-by-step explanation:

The given equations of lines are

[tex]3x-5y=-15[/tex]

[tex]4x+2y=7[/tex]

We need to find the measure of the acute angle formed by these lines.

[tex]Slope=\dfrac{-\text{Coefficient of }x}{\text{Coefficient of }y}[/tex]

Slope of given lines are

[tex]m_1=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]

[tex]m_2=\dfrac{-4}{2}=-2[/tex]

Angle between two lines is

[tex]\tan \theta = \left|\dfrac{m_1-m_2}{1+m_1m_2}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3}{5}-(-2)}{1+\dfrac{3}{5}(-2)}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3+10}{5}}{\dfrac{5-6}{5}}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{13}{1}\right|[/tex]

[tex]\tan \theta = 13[/tex]

[tex]\theta = \tan^{-1}(13)[/tex]

[tex]\theta \approx 85.6^{\circ}<90^{\circ}[/tex]

Therefore, the acute angle between given lines is 85.6 degrees.

Answer:

x = 0, x = 4

Step-by-step explanation:

12x - 21 = 5x + 7(x - 3)

First, foil out the right side --> 5x² - 15x + 7x - 21, which simplifies down to 5x² - 8x - 21.

Move the 12x - 21 to the right side by subtracting --> 0 = 5x² - 20x.

Factor out a 5x --> 0 = 5x(x - 4)

If you want to solve for x, set 5x = 0 and x - 4 = 0.

For 5x = 0, divide both sides by 5 to isolate the x --> x = 0/5, which simplifies down to x = 0.

For x - 4 = 0, add 4 to both sides to isolate the x --> x = 0 + 4, which simplifies down to x = 4.

Plug the values back into the original equation to check if it works

12(0) -21 = 5(0) + 7((0) - 3) --> -21 = -21

12(4) - 21 = 5(4) + 7((4) -3) --> 27 = 27

Hope this helps!

Answer:

10.5% compounded quarterly will be worth more at the end of 7 years.

Step-by-step explanation:

Investment 1:

Principal=$1,000

t=7 years

n=12 months

r=9%=0.09

FV=PV(1+r/n)^nt

Where,

FV=future value

PV=present value

r=interest rate

t=time (years)

n=number of periods

FV=PV(1+r/n)^nt

=1000(1+0.09/12)^12*7

=1000(1+0.0075)^84

=1000(1.0075)^84

=1000(1.8732)

=1,873.2

FV=$1,873.2

Investment 2:

Principal=$1,000

t=7 years

r=10.5%=0.105

n=4

FV=PV(1+r/n)^nt

=1000(1+0.105/4)^4*7

=1000(1+0.02625)^28

=1000(1.02625)^28

=1000(2.0658)

=2,065.8

FV=$2,065.8

10.5% compounded quarterly will be worth more at the end of 7 years.

Answer:

5.  Slope = 8.5

6.  Slope = -12

7.  Slope = 1

Step-by-step explanation:

Slope = y/x - y1/x1

5.  => 68/8 - 25.5/3

    => 68 - 25.5 / 8 - 3

    => 42.5 / 5

    => Slope = 8.5

6.  => 76/2 - 40/5

    => 76 - 40 / 2 - 5

    => 36 / -3

    => Slope = -12

7.  => 4/5.5 - (-1/.5)

    => 4 - (-1) / 5.5 - .5

    => 4 + 1 / 5.5 - .5

    => 5 / 5

    => Slope = 1

Answer:

5.  Slope = 8.5

6.  Slope = -12

7.  Slope = 1

Step-by-step explanation:

Slope = y/x - y1/x1

5.  => 68/8 - 25.5/3

    => 68 - 25.5 / 8 - 3

    => 42.5 / 5

    => Slope = 8.5

6.  => 76/2 - 40/5

    => 76 - 40 / 2 - 5

    => 36 / -3

   => Slope = -12

7.  => 4/5.5 - (-1/.5)

    => 4 - (-1) / 5.5 - .5

    => 4 + 1 / 5.5 - .5

    => 5 / 5

    => Slope = 1

Answer:

1  :2

Step-by-step explanation:

12 are yellow, 4 are pink

To find the number of red

24 -12 -4 = 8

There are 8 red balls

We want the ratio of

red: yellow or pink

8 : 12+4

8 :16

Divide each side by 8

8/8 : 16/8

1  :2

Answer:1:2

Step-by-step explanation: 12 yellow + 4 pink= 16

24 balls total minus 16 =8 red balls so 8:16=1:2

Answer:

Step-by-step explanation:

how do i circle? i know answer but how to tell you?

[tex]\\ \sf\longmapsto -6-(2x+7)=-2(x+6)-1[/tex]

[tex]\\ \sf\longmapsto -6-2x-7=-2x-12-1[/tex]

[tex]\\ \sf\longmapsto -2x-13=-2x-13[/tex]

[tex]\\ \sf\longmapsto 2x-2x=0[/tex]

[tex]\\ \sf\longmapsto 0[/tex]

Answer:

Step-by-step explanation:

(2x + 7) = - 2(x + 6) - 1

2x + 7 = - 2x + 12 - 1

2x - 2x = 12 - 7 - 1

0x = 4

= 4

Answer:

A. The students tend to have fewer siblings than the teachers.

Step-by-step explanation:

First we need to draw the dot plots correctly. If you count both sides they have 20 each.

Now, clearly none have fewer nobody here yet has more or less but going on to the next step.

Multiply exactly the number of siblings times how many people chose that many siblings. Ex: 2 (siblings) times 7 (people who has 2 siblings) = 14.  And so on.

On the Student A, we get a total of 41 people having sibling, if you count the 0's then there were a total of 43 people. But now on the Teacher's A Dot Plot, we have a total of 68 people, if you include the 0 then we have a total of 69.

So the answer is A. The students tend to have fewer siblings than the teachers.

Answer:

The sum is A

Step-by-step explanation:

Just ma duty to help the community

Answer:

Graph these two points: (0, 360), (30, 0)

Step-by-step explanation:

Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).

The straight line joining the points (0, 360) and (30, 0) will be the graph.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                              {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)     {Two point - slope form}

x/a + y/b = 1                                       {intercept form}

x cos(β) + y sin(β) = L                         {Normal form}

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.

We can write the equation of graph as -

y = - 12t + 360

At t = 0 -

y = 0 + 360

y = 360

and

at t = 30 minutes -

y = - 12 x 30 + 360

y = - 360 + 360

y = 0

The straight line joining the points (0, 360) and (30, 0) will be the graph.

Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.

To solve more questions on straight lines, visit the link below-

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Answer:

1st circle: 1.25

Second circle: 2

Step-by-step explanation:

We can use the cross product property here to find the value of what's in the circles.

Let's first look at the first two fractions.

[tex]\frac{x}{5} = \frac{1}{4}[/tex]

We can multiply the cross values and divide by the number that is diagonal to the variable.

[tex]5\cdot1 = 5\\5\div4 = 1.25[/tex]

So 1.25 goes in the first circle.

Now let's look at the last two circles and use the same property to find the missing value.

[tex]\frac{1}{4} = \frac{0.5}{x}\\ 4\cdot0.5 = 2\\2\div1 = 2[/tex]

So 2 goes in the second circle.

Hope this helped!

Answer:

x = 5/4

Step-by-step explanation:

Use the variable 'x' instead of 'the circle.'  Then:

 x         1

----- = ------

 5         4

Cross-multiplying, we get

4x = 5, and so x = 5/4

Answer:

C) Distance =5 units

Step-by-step explanation:

[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]

Using the formula for the distance between two points, it is found that the distance between points A and B is given by:

C) 5 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are A(1,1) and B(5,4), hence:

[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]

Hence option C is correct.

More can be learned about the distance between two points at https://brainly.com/question/18345417

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Answer:

x-axis

Step-by-step explanation:

Answer:

It is the x-axis

Step-by-step explanation:

In  a graph, the horizontal part of it is called the x axis.

Here is an definition: horizontal axis of a system of coordinates, points along which have a value of zero for all other coordinates

Answer:

A

Step-by-step explanation:

To find the distance between V1 and AQ use the distance formula

[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]

First find the coordinates of both V1: (-6, 5)    AQ: (5, 5)

Now plug it in and solve for d (11)

The conic section chosen is a parabola, and the attributes for graphing of

a parabola as well as the standard form of the equation are as follows;

Reasons:

Part A:

The equation of the conic section of a parabola is; (x - 3)² = 12·(y - 2)

The vertex form of the equation of a parabola is; y = a·(x - h)² + k

Where (h, k) = The vertex

Rearranging the given equation gives;

(x - 3)² = 12·y - 24

12·y - 24 = (x - 3)²

12·y = (x - 3)² + 24

[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + \frac{24}{12} = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]

[tex]\displaystyle y = \frac{1}{12} \cdot \left(x - 3\right)^2 + 2[/tex]

Therefore, the vertex of the parabola, (h, k) = (3, 2)

At the y-intercept, x = 0, which gives;

[tex]\displaystyle y = \frac{1}{12} \cdot \left(0 - 3\right)^2 + 2 = \frac{9}{12} + 2 = 2+\frac{3}{4}[/tex]

[tex]\displaystyle y = 2+\frac{3}{4} = 2.75[/tex]

The y-intercept = (0, 2.75)

The x-intercept is given at the point where y = 0, which gives;

(x - 3)² = 12·(0 - 2) = -24

x - 3 = √(-24) = An imaginary number

Therefore, the graph has no x-intercept

Given that a parabola is symmetrical about the vertex, we have a third

point on the parabola at the image of the y-intercept reflected across the

axis of symmetry as follows;

The y-intercept (0, 2.75) is 3 units to the left of the axis of symmetry, x = 3,

therefore, the third point will be 3 units to the right of the axis of symmetry

at the point (3 + 3, 2.75) = (6, 2.75)

Therefore, using the three points, (0, 2.75), (3, 2), and (6, 2.75), the curve

representing the parabola, (x - 3)² = 12·(y - 2), can be drawn.

Please find attached the graph of the parabola created with MS Excel

Part B; Given the attributes of the parabola; Vertex: (4, 2) and focus: (3, 2), we have;

The focus of a parabola is the point (h + p, k)

Where, (h, k) = The vertex

Therefore, by comparison, we have;

(h, k) = (4, 2)

h + p = 3

Therefore;

4 + p = 3

p = 3 - 4 = -1

The vertex form of the equation of the parabola is; (y - k)² = 4·p·(x - h)

Therefore, we get;

(y - 2)² = 4 × (-1) × (x - 4) = -4·(x - 4)

y² - 4·y + 4 = 16 - 4·x

4·x = 16 - (y² - 4·y + 4) = -y² + 4·y + 12

Which gives, the standard form as follows;

[tex]\displaystyle x = -\frac{y^2}{4} + y + 3 = -0.25 \cdot y^2 + y + 3[/tex]

Learn more about the graph of a parabola here:

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Answer:

25%

Step-by-step explanation:

Answer:

25%

Step-by-step explanation: