Type the correct answer in each box. Use numerals instead of words.
The domain of this function is {-12, -6, 3, 15}.

y= -2/3x+7

Complete the table based on the given domain.

It should be greater not lesser

Answer:

V=20.17

Step-by-step explanation:

V=πr²h

=π1.3²×3.8

=20.17

Answer:

cot(t) = 56/33

Step-by-step explanation:

cot(t) = 56/33, because cot = adj/opp simple as that..

Answer:

dy = -3

dx

equation of normal=

y=1/3x+1

Step-by-step explanation:

dy/dx=10x-3

=10(0)-3

= -3

equation of normal:

grad=1/3

y-1 =1/3

x-0

3y-3=x

y= 1/3x+1

[tex]\underline{\textbf{First part:}} \\\\\text{Given that,}\\\\~~~~~~y= 5x^2-3x+6\\\\\\\implies \dfrac{dy}{dx} = \dfrac{dy}{dx} (5x^2 -3x +6)\\ \\\\~~~~~~~~~~~=5\dfrac{d}{dx} x^2-3\dfrac{d}{dx} x + \dfrac{d}{dx} (6)\\\\\\~~~~~~~~~~~=5\cdot 2x-3+0\\\\\\~~~~~~~~~~~=10x-3\\\\\text{At (0,1)}\\\\\dfrac{dy}{dx} = 10(0) -3 \\\\~~~~~=0-3\\\\~~~~~=-3[/tex]

[tex]\underline{\textbf{Second part:}}\\\\[/tex]

[tex]\text{Equation of normal,}\\\\~~~~~~y-y_1 = -\dfrac{1}{\tfrac{dy}{dx}} (x-x_1)\\\\\\\implies y - 1 = -\dfrac 1{-3 }(x-0)\\\\\\\implies y-1 = \dfrac 13 x\\\\\\\implies y= \dfrac 13 x +1[/tex]

Answer:

$1.51 is in the account after 10 years.

Step-by-step explanation:

Step 1: Identify the Type of Problem

We can see that this is a compound interest problem due to the phrase "earns 1.15% interested compounded" in the problem.

The formula for compound interest is as follows:

[tex]A=P(1+\frac{r}{n})^{n*t}[/tex] where:

Step 2: Identify what we Know

Now that we have the formula we'll be working with, let's see what we know. From the problem, we can see:

Step 3: "Plug and Chug"

Now, all we have to do is substitute the above values into our formula. Doing so, we get:

[tex]A=1.35*(1+\frac{0.0115}{2})^{2*10} \\= \bf \$1.51[/tex]

(Note: Since the answer is an amount of money, I have rounded to the hundreths place.)

Hope this helps!

To learn more about compound interest, check out the following question:

Answer:

Correlation analysis is used to quantify the degree to which two variables are related.

Step-by-step explanation:

In research, correlation analysis is a statistical approach for calculating and measuring the strength of a linear relationship between two variables. Simply defined, correlation analysis determines how much one variable changes as a result of the change in the other. A high correlation indicates a strong association between two variables, whereas a low correlation indicates a weak relationship.

Answer:

[tex]x=2,-3[/tex]

Step-by-step explanation:

Set [tex](x-2)(x+3)^2[/tex] equal to [tex]0[/tex].

[tex](x-2)(x-3)^22=0[/tex]

Solve for [tex]x[/tex].

If any individual factor on the left side of the equation is equal to [tex]0[/tex], the entire expression will be equal to [tex]0[/tex].

[tex]x-2=0\\(x+3)^2=0[/tex]

Set the first factor equal to [tex]0[/tex] and solve.

Set the first factor equal to [tex]0[/tex].

[tex]x-2=0[/tex]

Add [tex]2[/tex] to both sides of the equation.

[tex]x=2[/tex]

Set the next factor equal to [tex]0[/tex] and solve.

Set the next factor equal to [tex]0[/tex].

[tex](x+3)^2=0[/tex]

Set the [tex]x+3[/tex] equal to [tex]0.[/tex]

[tex]x+3=0[/tex]

Subtract [tex]-3[/tex] from both sides of the equation.

[tex]x=-3[/tex]

The final solution is all the values that make [tex](x-2)(x+3)^2=0[/tex] true.

[tex]x=2,-3[/tex]

Answer: it will be A And D

Step-by-step explanation:

Answer:

y=[tex]-\frac{1}{6}[/tex]x-2

Step-by-step explanation:

by using this website

its a graphing calculator

desmos. com/calculator

Answer: The answer is 50 m³.

Step-by-step explanation: We are given to find the volume of the cone cone after being dilated by a factor of one-third from a cone with volume  1350 m³.

The volume of a cone with base radius 'r' units and height 'h' units is given by

[tex]V=\frac{1}{3}\pi r^2h.[/tex]

Therefore, if 'r' is the radius of the base of original cone and 'h' is the height, then we can write

[tex]V=\frac{1}{3}\pi r^2h=1350[/tex]

⇒ [tex]\pi r^2h=4050.[/tex]

Now, if we dilate the cone by a scale factor of , then the radius and height will become one-third of the original one.

Therefore, the volume of the dilated cone will be

[tex]V_d=\frac{1}{3}\pi (\frac{r}{3})^2\frac{h}{3} =\frac{1}{81}[/tex] × [tex]\pi r^2h=\frac{1}{81}[/tex] × [tex]4050=50[/tex]

Thus, the volume of the resulting cone will be 50 m³.

Answer:

$9.60

Step-by-step explanation:

$1.92 = per dozen

60 = how many dozens?

12 = one dozen.

60/12 = 5

5 dozens in 60 popiscles

If we know that we have 5 dozens and it costs $1.92 per dozen, we can just multipty those two numbers.

1.92*5=9.60

So, the cost of 60 popsiciales is $9.60!

Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.

A central tendency is a central or typical value for a probability distribution. Colloquially, measures of central tendency are often called averages. The term central tendency dates from the late 1920s. The most common measures of central tendency are the arithmetic mean, the median, and the mode.

Here, Given data

   x                             f                     xf

  5                             1                       5

  6                             4                      24

  7                             3                       21

  8                             2                       16

  10                           2                        20

  13                            2                        26

   14                           1                         14

Mean = ∑xf/∑f

         = 126/15    

         = 8.4

Median = 7

Mode = 6

Thus, Mean, median, and mode of the given data is 8.4, 7, and 6 respectively.

Learn more about Central Tendency from:

https://brainly.com/question/13606190

#SPJ1

Answer:

y=3x+8

Step-by-step explanation:

Formula is L(x)=f(a)+f(a)(x-a)

This is for linearization

Answer:

C = 101

Step-by-step explanation:

A triangle has 180 degrees, so just minus 28 and 51 by that and you get 101... it's pretty simple

Answer:

0-4 should go up to 1     5-9 should go up to 3     10-14 should go up to 4     15-19 should go up to 5        20-14 should go up to 2

Step-by-step explanation:

Hope this helps!

The distance will remain constant. Then the time taken by Adam with an average speed of 60 miles per hour is 9 hours.

The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.

We know that the speed formula

[tex]\rm Speed = \dfrac{Distance}{Time}\\\\\\[/tex]

The formula can be written as

Distance = Speed × Time

The time it takes Adam to drive to Disney World varies inversely with his average rate of speed.

If it takes Adam 10.8 hours at an average speed of 50 miles per hour.

If the average speed is 60 miles per hour, then the time taken will be

The distance will remain constant.

S₂ × T₂ = S₁ × T₁

60 × T₂ = 50 × 10.8

        T₂ = 9 Hours

More about the speed link is given below.

https://brainly.com/question/7359669

#SPJ1

The total number of gallons in 8.25 quartz is 2.0625 gallons

According to the given question, we are to convert 8 1/4 quartz to gallons

According to the standard conversion

1 gallons = 4 quarts

x = 8.25 quartz

Take the ratio

1/x = 4/8.25
4x = 8.25

x = 8.25/4

x = 2.0625 gallons

Hence the total number of gallons in 8.25 quartz is 2.0625 gallons

Learn more on gallons to quartz here: https://brainly.com/question/898411

#SPJ1

Answer:

3(x+4)=36

You would multiply 3 times x and 4

3x+12=36

Subtract 12 from both sides

3x=24

x=8

Step-by-step explanation:

       [tex]\rule{289}{2}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

          how to solve [tex]\textsc{3(x+4)=36}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

First of all, multiply the number before the parentheses by the expression inside the parentheses:-

[tex]\bigstar\sc{3\times x\times4}[/tex]

Which equals

[tex]\bigstar\textsc{3x+12}[/tex]

So the equation is:-

[tex]\square[/tex] [tex]\textsc{3x+12=36}[/tex]              Subtract 12 on both sides:-

[tex]\textit{3x=24}[/tex]                     Next, divide by 3 on both sides:-

[tex]\textit{x=8}\Huge\checkmark[/tex]

[tex]\smile\rule{300}{2}\smile[/tex]

Answer:

Answer:

124.84

Step-by-step explanation:

A = ah + bh + ch + 1 /2×√( ﹣a^4 ﹣ b^4 ﹣ c^4+ 2(ab)² + 2(ac)² + 2(bc)² ) =4×7+5×7+6×7+ 1 /2×√(-4^4 - 5^4 - 6^4 + 2(4×5)² + 2(4×6)² + 2(5×6)² )

≈ 124.84313

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

$700

-$500

$200

Therefore Alex needs to save $200 more to get the $700

Answer:

A, C, E

Step-by-step explanation:

i got the question wrong so yall could get it right

just do it with a calculator the answer is -3

Answer:

-3

Step-by-step explanation:

log (1/1000)

log ( 10^-3)

= -3

Answer:

Side length of square (inches): 1 ,2, 4, 7

Perimeter of square (inches). : 4, 8, 16, 28

Step-by-step explanation:

Ratio is 1:4 (S:P).

So:

#:8, #=2. This is because 2/8 and 1/4 both = 0.25.

#:16, #=4. 4/16=0.25

7:#, #=28. 4x7=28, 7/28=0.25

Hope that helps

Answer:

using quadratic equation formula

-b±/b²‐4ac all over 2a

Answer:

Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])

Step-by-step explanation:

Step 1:  Multiply both sides by 15

[tex]\frac{t + 3}{15} = 3[/tex]

[tex]\frac{t + 3}{15} * 15 = 3 * 15[/tex]

[tex]t+3=45[/tex]

Step 2:  Subtract 3 from both sides

[tex]t + 3 -3 = 45 -3[/tex]

[tex]t = 42[/tex]

Answer: Option B ([tex]42[/tex]) and D ([tex]t + 3 = 45[/tex])

Here my Answer :)))))))