the quotient of two numbers is 3 and their sum is 8 what are he two numbers

Answer: Left 2, Down 3

Step-by-step explanation:

[tex]y=\sqrt{x+2}-3[/tex]

To find the horizontal shift, set the values under the root equal to 0

x + 2 = 0

x = -2

This means the functions is shifted left 2 units

To find the vertical shift, look at the -3

This means the graph is shifted down 3 units.

the answer will be 33.33% percent

Answer:

1400

Step-by-step explanation:

67 rounds to 70 because 7 is bigger than 5 so it rounds up. 23 rounds down since 3 is smaller than 5.

So, 70x20=1400

The statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.

It is defined as the frequency that can be evaluated by the two-way frequency table. Usually, we can obtain this frequency by dividing the frequency that is not in the total frequency cell to total frequency.

We can find conditional relative frequency as:

For first cell:

= 38/116

= 0.327

= 32.75% (refer attached picture)

Similarly, we can find for other cells.

A higher percentage of 7th graders than 8th graders prefer English and History, while a higher percentage of 8th graders than 7th graders prefer Math/Science.

Thus, the statement second a higher percentage of 7th graders than 8th graders prefer English and statement third a higher percentage of 8th graders than 7th graders prefer Math/Science are correct.

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Answer:

77,000 fish in 10 years

Step-by-step explanation:

calculator

Answer:

there is no solution since the equations are the same hence on trying to solve all variables will cancel out

To solve for x, we can perform inverse operations to cancel values out.

Eventually, we must isolate x to one side of the equal sign, or equation. That will give us its value.

[tex]\dfrac{2}{3}x+2=4[/tex]

⇒ First, isolate the x term by subtracting 2 from both sides:

[tex]\dfrac{2}{3}x=2[/tex]

⇒ Now, multiply both sides by 3 to get rid of the fraction:

[tex]2x=6[/tex]

⇒ Finally, divide both sides by 2 to isolate x:

[tex]x=3[/tex]

[tex]x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

[tex]\sf \dfrac{2}{3}x+2=4[/tex]

Subtract 2 from both sides.

[tex]\sf \dfrac{2}{3}x=4-2\\\\\sf \dfrac{2}{3}x=2[/tex]

Multiply both sides by 3.

[tex]\sf2x=2*3\\2x=6[/tex]

Divide both sides by 2.

[tex]\sf x=\dfrac{6}{2} \\\\\sf x=3[/tex]

The correct option regarding the probability of rolling a number that is at least 10 is given by:

А 10 percent, Lower

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the theoretical probability, it is calculated before any experiment. 11 out of 20 numbers are at least 10, hence it is given by:

pT = 11/20 = 0.55 = 55%.

For the experimental probability, we consider previous trials, in which one out of 10 resulted in a number that is at least 10, hence:

pE = 1/10 = 0.1 = 10%.

Which is lower than the theoretical probability, hence option A is correct.

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correct, is Decay and the initial amount is 13000, rate is 25%

[tex]\qquad \textit{Amount for Exponential Decay} \\\\ A=P(1 - r)^x\qquad \begin{cases} A=\textit{current amount}\\ P=\textit{initial amount}\dotfill &13000\\ r=rate\to 25\%\to \frac{25}{100}\dotfill &0.25\\ x=years \end{cases} \\\\\\ A=13000(1 - 0.25)^{x}\implies \boxed{A=13000(0.75)^x} \\\\\\ \stackrel{\textit{after 3 years}}{A=13000(0.75)^3}\implies A\approx 5484.38~\hfill \stackrel{\textit{after 8 years}}{A=13000(0.75)^8}\implies A\approx 1301.47[/tex]

Step-by-step explanation:

As we can see x and 70° is alternate with each other so it can be name as alternative angle ....

So .....

x = 70° ( being alternative angle )

Now....we can see that y and x is vertically opposite ....so it can be name as vertically opposite angle....

y = x ( being vertically opposite angle )

y = 70°

Answer:

the third fuction is the represents po

Step-by-step explanation:

and the next slide is the other one

Answer:

11.33

Step-by-step explanation:

Add all of the numbers together, then divide them by the number of numbers (6)

Answer:

3 days

Step-by-step explanation:

hope u understand

[tex]~\dfrac 1{x^{-1}}\\\\=\dfrac{x^0}{x^{-1}}\\\\=x^{0-(-1)}\\\\=x^{0+1}\\\\=x^1\\\\=x[/tex]

A function assigns the values. When in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x) is equal to x. If f(x) in the given function is replaced with 4f(x), then the result will be,

[tex]4f(x) = x\\\\f(x)=\dfrac{x}4 \\\\ f(x) = \dfrac14 \times x[/tex]

Hence, when in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

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Answer:

C = 6π in

Step-by-step explanation:

the circumference (C) of a circle is calculated as

C = 2πr ( r is the radius )

the area (A) of a circle is calculated as

A = πr²

given A = 9π , then

πr² = 9π ( divide both sides by π )

r² = 9 ( take square root of both sides )

r = [tex]\sqrt{9}[/tex] = 3

then

C = 2π × 3 = 6π in

The circumference of the circle is C = 6π inches

A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle

The circumference of circle = 2πr

The area of the circle = πr²

where r is the radius of the circle

The standard form of a circle is

( x - h )² + ( y - k )² = r²,

where r is the radius of the circle and (h,k) is the center of the circle.

The equation of circle is ( x - h )² + ( y - k )² = r²

For a unit circle , the radius r = 1

x² + y² = r² be equation (1)

Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )

Given data ,

Let the circumference of the circle be C

Now , the area of the circle be A = 9π inches²

where area of the circle = πr²

So , r² = 9

Taking square roots , we get

r = 3 inches

Now , the circumference C = 2πr

C = 6π inches

Hence , the circumference is 6π inches

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Answer:

5 feet

Step-by-step explanation:

AB^2=AC^2+BC^2

13^2=AC^2+12^2

AC^2=25

AC=5

Answer:

130 minutes

Step-by-step explanation:

They watched 50% of movie, means 50% left unwatched

Remaining length = 65 minutes = 50% of movie

Movie length = 65 *2 = 130 minutes

Answer:

42 . 9 in^2

Step-by-step explanation:

Area of trapezoid     average of two bases  X  height

area = ( 3.3 + 9.9)/2   * 6.5 = 42.9 in^2

Answer:

I did jumping jacks

Step-by-step explanation:

conditioning exercise performed from a standing position by jumping to a position with our legs spread and arms raised and then to the normal position.

Answer:

I hope nothing

hope. it helps

Answer:

27%

Step-by-step explanation:

Red gumballs / total = 27/100 = 27%

Answer:

15π in²

Step-by-step explanation:

Formula

Solving

Answer:

85

Step-by-step explanation:

Mean = Sum of the terms / Number of terms

Answer:

7 feet and 2 inches

Step-by-step explanation:

12 inches in a foot, which in the case of 86 we would have 7 feet 84 inches which leaves us with 2 extra inches hence 7'2"

Answer:

x = 17

Step-by-step explanation:

75° and (4x + 7)° are alternate angles.