Translate the sentence into an inequality.
Ten increased by the product of a number and 5 is less than -15.

To find the height of Replica,

Dialted scale factor=1in=20ft

So height of replica

Answer:

A

Step-by-step explanation:

108/24 finds you the ratio from people surveyed to population

gets you 1:4

so for the 6 who prefer candies you sub it it

6:(4*6)

6:24

so its 24 = A :)

Step-by-step explanation:

-4x – 2y= -18

Add 2y to both sides

-4x- 2y+ 2y = -18 + 2y

Simplify

-4x = -18 + 2y

Divide both sides by -4

-4x/-4= -18/-4+ 2y/-4

simplify

x= - -9+y/2

Answer:

x = 6

y = 4

Step-by-step explanation:

2(4x + 1) = 11x - 16

8x + 2 = 11x - 16

8x + 2 + 16 = 11x - 16 + 16

8x + 18 = 11x

8x + 18 - 8x = 11x - 8x

18 = 3x

6 = x

5y + 4 = 8(y - 1)

5y + 4 = 8y - 8

5y + 4 + 8 = 8y - 8 + 8

5y + 12 = 8y

5y + 12 - 5y = 8y - 5y

12 = 3y

4 = y

The answer is B because 6*2 = 12 + 11 = 23 !

Answer:

1782 cm²

Step-by-step explanation:

the required surface area =1782

units= cm²

Answer: 25.12

Step-by-step explanation:

Circumference = πd or 2πr

Since the radius is given (which is 4) we will use 2πr

2× 3.14×4=

8 × 3.14 =

25.12

(A) Using calculator, the equation of the line of best fit is y=0.77x-1.1y=0.77x−1.1 and correlation coefficient is 0.9990.999

The relationship is strongly positive as correlation coefficient is very close to +1.

Step 2

(B) The slope of best fit gives the change in dosage for a unit (lb) increase in weight of patient. We find that the dosage increases by about 0.77 mg for a unit increase in weight of patient.

Step 3

(C) Adding observation (140, 135)(140,135) to the data set. the regression line changes to y=6.12+0.75xy=6.12+0.75x. It increases the intercept but decreases slope.

But the correlation falls to 0.9340.934, weakening the relationship. This happens as the observation is an outlier.

Result

a. y=0.77x-1.1y=0.77x−1.1, strong positive relationship

b. represents change in dosage for a unit increase in weight

c. regression line changes to y=6.12+0.75xy=6.12+0.75x.

(A) The line of best fit's equation is y=0.77x-1.1y=0.77x1.1, and the correlation coefficient is 0.9990.999. The correlation coefficient is near +1, indicating that the link is positive.

The definition of an equation in algebra is a mathematical statement demonstrating the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

Step 2

(B) The change in dosage for a unit (lb) increase in patient weight is indicated by the best-fit slope. We discover that for every unit increase in patient weight, the dosage rises by around 0.77 mg.

Step 3

(C) Including observation (140, 135) in the data set. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line. Although the slope is reduced, the intercept is increased.

However, the link is weakened when the correlation drops to 0.9340.934. This occurs because the observation is an anomaly.

Result

a. Strong positive association, y=0.77x-1.1y=0.77x1.1

B. indicates a dose modification for a unit weight increase

C. y=6.12+0.75xy=6.12+0.75x is the new value of the regression line.

Therefore, y=0.77x-1.1y=0.77x1.1 is the equation for the line of best fit, and the correlation coefficient is 0.9990.999.

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The log base value is three.

Answer:

Step-by-step explanation:

The hypotenuse is 16 and the adjacent angle is x.

So using SohCahToh

O is opposite, H is the hypotenuse, and A is adjacent.

Soh: sin(theta)= O/H

Cah: cos(theta)= A/H
Toh: tan(theta)= O/A

Any side length that is next to degree 60° is adjacent so x is adjecent.

Using Cah.

cos(theta)= A/H

cos(60°)= x/16

x=16*cos(60°)

x=16*1/2

x=8

Answer:

There isn't a way to solve for y but I can give you this

Step-by-step explanation:

Slope=1

x-intercept is -3/1

y-intercept is 3/1

Answer:

k=13

Step-by-step explanation:

We know that

straight angle is equal to 180⁰

(4k-7)⁰+90⁰+(3k+6)⁰=180⁰

4k-7+3k+6=90

7k=91

k=13

I hope it helped you

Answer:

B) 77.5 square feet

Step-by-step explanation:

cut shape into rectangle and triangle

area of rectangle = x*y

area of rectangle = 5*13

area of rectangle = 65

area of triangle = (z-x)*(y-w)/2

area of triangle = 5*3/2

area of triangle = 7.5

Total area = 65 + 7.5

Total area = 77.5, B)

Answer:

77.5

Step-by-step explanation:

Cut the figure into a triangle and a rectangle

XxY=65

Z-x=5

Y-W=5

5x5=25

25/2=13.5

65+35.5=77.5

Step-by-step explanation:

A pyramid is made when 4 triangle meet on square then mate on each together .

Answer:

C. Distribution 3

Step-by-step explanation:

The more spread out a data distribution is, the greater its standard deviation.

Answer:

8/x+2 or   [tex]\frac{8}{2+x}[/tex]

Step-by-step explanation:

To answer, carefully read the question and pick up on key words like "sum." To begin, we know that "sum" means addition, therefore the sum of 2 and a number (which will be replaced by the variable x) is equivilent to 2 + x. Furthermore, we know that 8 is being divided by the sum. So, the final expression should be  [tex]\frac{8}{2+x}[/tex] . Good luck!

To simulate the probability in a spinner divide the spinner into colors depending on the probability each color represents.

This word refers to the likelihood for an event to occur. Moreover, it is often expressed either as a fraction, a percentage, or a number.

In this case, each of the colors represents a probability:

Due to this, the best is to divide the spinner by colors and considering the percentanges of each color. For example 40% of the spinner should be red, while 15% should be orange.

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Answer:

1,749

8,349

Step-by-step explanation:

We can multiply 6,600 by 1.265 to get 8,349. To get the percentage all we have to do is multiply 6,600 by .265 and get 1,749.

Hope this helps

Answer:

-2,1 and 3,-2 also -5,-1 and 0,2

Step-by-step explanation:

To find the tangent line of the graph:

 ⇒ must find:

Let's find the point at which the tangent line touches the graph:

   At x = -1,

           [tex]y = ((-1)^3+2)^5=(-1+2)^5=1^5=1[/tex]

     Point: (-1,1)

Let's find the slope of the tangent line

  ⇒ get the derivation of function than plug (-1) in the x-position to get

       the exact slope

          [tex]\frac{d}{dx}(x^3+2)^5=5(x^3+2)^4*\frac{d}{dx}(x^3+2)=5(x^3+2)^4*3x^2\\ \\ 5((-1)^3)+2)^4*3(-1)^2=5(-1+2)^4*3*1=5*(1)^4*3=5*1*3=15[/tex]

    Slope of tangent line: 15

Now put all the calculated value into the point-slope form:

    [tex](y-y_{0})=m(x-x_{0} )[/tex]

   So:

     [tex](y-1)=15(x+1)\\y - 1= 15x + 15\\y = 15x + 15 + 1\\y = 15x + 16[/tex]

Thus the tangent line's equation is y = 15x + 16

Answer: y = 15x + 16

Hope that helps!

Answer:

Step-by-step explanation:

The opposing side and the hypotenuse for the angle are given.

Remember, when the opposing side and the hypotenuse are given, take the cos ratio.

Answer:

x=1, y=-1

Step-by-step explanation:

Given the equation:

where x and y are the blank boxes.

We want to find

A positive value of x

A negative value of y

That makes the equation true.

If x=1, y=-1

This can be confirmed using addition law of indices()

In general, any pair of a number and its negative value will satisfy the equality.

Step-by-step explanation:

Question:

A bucket of water was 1/2 full, but it still had 3 and 3/5 gallons of water in it. How much water would be in one fully filled bucket?

Answer:

7 1/5

Step-by-step explanation:

The bucket was halfway full. It still had 3 3/5 gallons in it. So all you'd have to do is multiply 3 3/5 by 2. Here is the actual work for proof:

3 3/5 × 2 =  

18/5 × 2 =  

18 × 2

5 × 1 =  

36/5 = 7 1/5.

hence proved

hope it helps...!!!

Answer:

18

Step-by-step explanation:

The multiples of 9 are 9,18,27,36,45,54,63,...

The multiples of 6 are 6,12,18,24,30,36,42,...