1. Which expression is equivalent to 9k + 16? Explain why.
A 4 + 5k + 10 +6
B 4 + 3k + 2k + 10 +6
C2k +7 + 10 + 6
D 3k + 4k + 2k + 10 +6

Focusing on the center point of f(x) (0,0), we can see that it has moved to the left 4 units and up 3 units.

g(x) = [tex](\sqrt[3]{x + 4}) + 3[/tex]

Option C

Hope this helps!

Answer: The area is 22 17/64.

Step-by-step explanation:

base = 7 1/8 = 57/8

height = 6 1/4 = 25/4

area = 1/2*b*h

= 1/2*57/8*25/4

= 1425/64

= 22 17/64

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

I have uploaded a graph for you. The x axis is the number of years. The y axis is the salary multiplied by 1000. I should have made the multiplication factor 10000 but 1000 will do.

The 5 given points are plotted in red. The blue line is the function.

The function is y = 5x + 35. That means for every year you add 5 times the year onto the salary.

No years is 35000

1 year is 1 * 5000 + 35000

2 years is 2 * 5000 + 35000 = 45000

6 years is 5 * 5000 * 35000 = 65000

and so on.

The point you want is x = 12

12 years is 12 * 5000 + 35000 = 95000

Forgot the graph

Answer:

The interquartile range is the middle half of the data that is in between the upper and lower quartiles. ... The interquartile range is a robust measure of variability in a similar manner that the median is a robust measure of central tendency.

Answer:

-2, - 1, - 2 and - 3

Step-by-step explanation:

As the graph depicts an odd function, it will follow the rule f(-x) = - f(x)

It looks like we're given the Laplace transform of f(t),

[tex]F(p) = L_p\left\{f(t)\right\} = \dfrac6{p(2p^2+4p+10)} = \dfrac3{p(p^2+2p+5)}[/tex]

Start by splitting up F(p) into partial fractions:

[tex]\dfrac3{p(p^2+2p+5)} = \dfrac ap + \dfrac{bp+c}{p^2+2p+5} \\\\ 3 = a(p^2+2p+5) + (bp+c)p \\\\ 3 = (a+b)p^2 + (2a+c)p + 5a \\\\ \implies \begin{cases}a+b=0 \\ 2a+c=0 \\ 5a=3\end{cases} \implies a=\dfrac35,b=-\dfrac35, c=-\dfrac65[/tex]

[tex]F(p) = \dfrac3{5p} - \dfrac{3p+6}{5(p^2+2p+5)}[/tex]

Complete the square in the denominator,

[tex]p^2+2p+5 = p^2+2p+1+4 = (p+1)^2+4[/tex]

and rewrite the numerator in terms of p + 1,

[tex]3p+6 = 3(p+1) + 3[/tex]

Then splitting up the second term gives

[tex]F(p) = \dfrac3{5p} - \dfrac{3(p+1)}{5((p+1)^2+4)} - \dfrac3{5((p+1)^2+4)}[/tex]

Now take the inverse transform:

[tex]L^{-1}_t\left\{F(p)\right\} = \dfrac35 L^{-1}_t\left\{\dfrac1p\right\} - \dfrac35 L^{-1}_t\left\{\dfrac{p+1}{(p+1)^2+2^2}\right\} - \dfrac3{5\times2} L^{-1}_t\left\{\dfrac2{(p+1)^2+2^2}\right\} \\\\ L^{-1}_t\left\{F(p)\right\} = \dfrac35 - \dfrac35 e^{-t} L^{-1}_t\left\{\dfrac p{p^2+2^2}\right\} - \dfrac3{10} e^{-t} L^{-1}_t\left\{\dfrac2{p^2+2^2}\right\} \\\\ \implies \boxed{f(t) = \dfrac35 - \dfrac35 e^{-t} \cos(2t) - \dfrac3{10} e^{-t} \sin(2t)}[/tex]

Answer:

[tex]Domain = \{-3,0,2,1,6,3\}[/tex]

[tex]Range = \{4,6,-2,-3,-7,2\}[/tex]

Step-by-step explanation:

Given

[tex]\{(- 3,4), (0,6), (2, - 2), (1, - 3), (6, - 7), (3, 2)\}[/tex]

Required

The domain and range

A function is represented as:

[tex]Function = \{(x_1,y_1),(x_2,y_2),....(x_n,y_n)\}[/tex]

Where

[tex]x \to[/tex] domain

[tex]y \to[/tex] range

So, we have:

[tex]Domain = \{-3,0,2,1,6,3\}[/tex]

[tex]Range = \{4,6,-2,-3,-7,2\}[/tex]

Answer: Hello your question has some missing data attached below is the missing data

How well does the number of beers a student drinks predict his or her blood alcohol content (BAC)? Sixteen student volunteers at Ohio State University drank a randomly assigned number of 12-ounce cans of beer. Thirty minutes later, a police officer measured their BAC. Here are the data. The students were equally divided between men and women and differed in weight and usual drinking habits. Because of this variation, many students don’t believe that number of drinks predicts BAC well.

answer:

prediction  interval : (0.040 , 0.114)

Step-by-step explanation:

Given data:

Confidence level = 90%

Legal limit ( BAC ) = 0.08

solution

sample size = 16

Degree of freedom ( df ) = 14

critical t value =  1.761

X =  4.81

Σ(x-x)² (Sx) =  72.44

also standard error of estimates = 0.0204

Y=  -0.01270  +  0.01796 * 5 = 0.077

given that ; the predicted value of Y at x = 5

Considering individual response Y

standard error = 0.0211

margin of error = 1.761 * 0.021 = 0.0371

Hence the limits of the prediction interval is :

Lower limit  = 0.077 - 0.037 = 0.040.

Upper limit = 0.077 + 0.037 = 0.114

Finally

90% prediction interval  =  (0.040 , 0.114)

Answer:

√245

Step-by-step explanation:

altitude on hypotenuse theorem:

m^2=7*35

m^2=245

m=√245

Answer:

[tex]\boxed {\boxed {\sf 120 \ units^2}}[/tex]

Step-by-step explanation:

We are asked to find the area of a triangle. The formula for calculating this is:

[tex]a= \frac{1}{2} bh[/tex]

This is a right triangle, so the base and height are the legs of the triangle. The 2 smallest sides are the legs because the longest side is the hypotenuse. Since the side lengths are 10, 26, and 24, the base and height must be 10 units and 24 units.

Substitute these values into the formula.

[tex]a= \frac{ 1}{2} ( 10 \ units)(24 \ units)[/tex]

Multiply the numbers in parentheses.

[tex]a= \frac{1}{2}(240 \ units^2)[/tex]

Multiply by 1/2 or divide by 2.

[tex]a= 120 \ units^2[/tex]

The area of the triangle is 120 units squared.

Triangle DEF is scalene

Must click thanks and mark brainliest

The triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.

A scalene triangle is a type of triangle which have all the sides to be unequal and similarly, all the angles will also be unequal to each other.

Given that:-

it is given that all the sides of the triangle are x, x+3, and x−1 we can clearly see that for any value of x all the three sides will have different values. we can conclude from this that the triangle DEF is a scalene triangle.

Therefore triangle DEF will be a scalene triangle as all the sides of the triangle are unequal.

To know more about the scalene triangle follow

https://brainly.com/question/16589630

#SPJ2

Answer:

No, -12 is not a solution.

Step-by-step explanation:

8u-1=6u

8(-12)-1=6(-12)

-96-1=-72

-97=-72

Untrue, to it’s not a solution

9514 1404 393

Answer:

  17

Step-by-step explanation:

The points at the ends of the interval are ...

  (0, f(0)) = (0, 0)

  (7, f(7)) = (7, 119)

The average rate of change is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (119 -0)/(7 -0) = 119/7 = 17

Answer:

35

Step-by-step explanation:

The pattern is adding powers of 2.

4+1=5 (exception)

5+2=7

7+4=11

11+8=19

19+16=35

Answer:

35

Step-by-step explanation:

4 + 1 = 5

5 + (1 × 2) = 5 +2 =7

7 + (2×2) = 7 + 4 = 11

11 +(4×2) = 11 + 8 = 19

19 + (8×2) = 19 + 16 = 35

Answer:

33

Step-by-step explanation:

The answer is 1628. Because 16 x 21 = 28 x 12 = 336

Hope this helps

Answer:

4:10

Step-by-step explanation:

if they have to wait for plane B and it arrives every 10 mins then 4:10 is the anser

Answer:

B is correct .trust me

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

To find the mean, add up all the numbers

18+ 19+ 19+ 4+14+ 8+ 22+ 3+ 1

108

Then divide by the number of terms

108/9 =

12

Answer:

five kids .each 6 sweaters and 9 trousers

Step-by-step explanation:

[tex]\\ \large\sf\longmapsto -\dfrac{4x^3}{3y^2}[/tex]

[tex]\\ \large\sf\longmapsto -\dfrac{4(3)^3}{3(4)^2}[/tex]

[tex]\\ \large\sf\longmapsto -\dfrac{4(27)}{3(16)}[/tex]

[tex]\\ \large\sf\longmapsto -\dfrac{108}{48}[/tex]

[tex]\\ \large\sf\longmapsto -\dfrac{9}{4}[/tex]

Answer:

=32÷40%

=32÷0.4

=80

the owner have total 80 stores

Step-by-step explanation:

th

Answer:

80.

Step-by-step explanation:

40 % = 32 stores, so:

10% = 32/4 = 8 stores, and

100% = 8*10 = 80 stores.

Answer: See below

Step-by-step explanation:

Answer:

Answer below

Step-by-step explanation:

Step-by-step explanation:

The perimeter of the rectangle is

[tex]P = 2(4x + 2x) = 12x[/tex]

The perimeter of the octagon is

[tex]P = 8(1.5x) = 12x[/tex]

So for x = 1, the perimeter of the rectangle, as well as the octagon, is 12 cm. For x = 2, its 24 cm. For x = 3, it's 36 and so on. So the pattern here is with each integer increase in x, the perimeter increases by 12 cm. Also that the perimeters of both shapes are equal.

Answer:

11.75

Step-by-step explanation:

The required triangle is attached below :

The triangle AFE has it's by the mid segment as BD ;as B is the mid-point of line EA ; and D is the mid-point of line FA ;

HENCE, The Length of the midsegment BD = 1/2FE

Hence, BD =. 1/2 * 23.5

BD = 23.5 / 2 = 11.75

Answer:

4

Step-by-step explanation:

Answer:

1/35 jar of mustard yuh yuh

please mark this answer as brainlist