3. Fine the value of x.
A) 3.5
B)7
C) 5
D)10

Answer:

(x + 4)(x + 5)

Step-by-step explanation:

If you FOIL these factors, you get the give quadratic polynomial. x×x = x^2 4×5 = 20. 4x + 5x = 9x

The volume of a cylinder is 40 ft which expression represents the volume of a Cone with the same base and height as the cylinder?

3(40) ft³

3(1/40) ft³

1/3(40)ft³

1/3(40²) ft³

Answer:

The expression  that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³

Step-by-step explanation:

To find the expression that represents  the volume of a cone with the same height and base as the cylinder, we will follow the steps below:

First write down the formula for calculating volume of a cone   and volume of a cylinder

volume of a cone = [tex]\frac{1}{3}[/tex] πr²h

volume of a cylinder = πr²h

If the base are the same, this implies they have the same radius,  and from the question, it states that they have the same height, hence;

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

from the question, the volume of the cylinder is 40 ft³

volume of a cone = [tex]\frac{1}{3}[/tex] (volume of a cylinder)

                              = [tex]\frac{1}{3}[/tex] (40) ft³

volume of a cone =  [tex]\frac{1}{3}[/tex] (40) ft³

Therefore the expression  that represents the volume of a cone is [tex]\frac{1}{3}[/tex] (40) ft³

Answer:

2^K≥40

2^5≥20

24/5 =4.75

40 books= 40/5 = 8 mean

9 2's

10 7's

13 12's

2 17's

6 22's

18+70+156+34+132= 410/40 =10.25  

150+156+70=306+70=376/40 books bought = 9.4 mean

Step-by-step explanation:

Answer:

the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Step-by-step explanation:

The height of an object launched upward from ground level is given by the function s(t) = -4.9t² +7.8t

when the object reach the ground then s(t) = 0

So;  -4.9t² +7.8t = 0

-4.9t² +7.8t + 0 = 0

By using the quadratic equation

[tex]\mathbf{\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}}[/tex]

where; a = -4.9 ; b = 7.8 and c = 0

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(7.8)^2-4(-4.9)(0)} }{2(-4.9)}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) \pm \sqrt{(60.84} }{-9.8}}[/tex]

[tex]\mathbf{=\dfrac{-(7.8) + \sqrt{(60.84} }{-9.8} \ \ \ \ OR \ \ \ \ \mathbf{\dfrac{-(7.8) - \sqrt{(60.84} }{-9.8}}}[/tex]

[tex]\mathbf{=0 \ \ \ OR \ \ \ 1.592 }}[/tex]

Hence;  the distance of  the object before it  hits the ground after launch is t = 1.592 seconds

Answer:

6 units²

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

It has 2 terms in the expression

Answer: quadratic polynomial

Step-by-step explanation:

A quadratic polynomial is a polynomial of degree 2. A univariate quadratic polynomial has the form f(x)=a_2x^2+a_1x+a0. An equation involving a quadratic polynomial is called a quadratic equation. A closed-form solution known as the quadratic formula exists for the solutions of an arbitrary quadratic equation.

Answer:

4/25

First we have to divide 1/5 by 5. To do this we must follow the rules of dividing fractions which is switching the numerator and denominator of the second number/fraction, so 5 becomes 1/5. Next, we have to multiply the two fractions: 1/5 x 1/5= 1/25 (This is the amount of apricots in 1 bag). If we multiply that by 5, its going to 5/25 which is now 5 bags. 5/25 - 1/25=4/25 and that is our final answer.

The range of the function f(x) = sin(x) given in the task content is; Negative 1 less-than-or-equal-to y less-than-or-equal-to 1; -1<= y <=1.

The range of a function is simply the set of its possible output values. For instance, for the function f(x)=x⁴ on the domain of all real numbers , the range is the non-negative real numbers, which can be written using interval notation.

On this note, the range of the function as given is -1<= y <=1.

Read more on range of a function;

https://brainly.com/question/7644636

Answer: B, the set of all real numbers Negative 1 less-than-or-equal-to y less-than-or-equal-to 1

Step-by-step explanation: edge

Because two side lengths are identical it is an isosceles triangle and also at least one angle is less than 90 degrees so the answer would be an acute isosceles triangle.

Answer:

acute isosceles.

Step-by-step explanation:

Answer:

The Pythagorean theorem deals with the lengths of the sides of a right triangle. ... The sum of the squares of the lengths of the legs of a right triangle ('a' and 'b' in the triangle shown below) is equal to the square of the length of the hypotenuse ('c').

Step-by-step explanation:

Answer:

y ≤1

Step-by-step explanation:

The range is the output values

It has a max at 1 and can be any value below 1

y ≤1

Answer:

f(x) < 1

Step-by-step explanation:

Max y value on the graph is y = 1, hence the range is f(x)《 1

From the given options,

f(x) < 1

Answer:

Jack can form four rectangular prisms with 20 unit cubes.

Step-by-step explanation:

Number of unit cubes Jack has = 20

Factors of 20 = 1, 2, 4, 5, 10, 20

The possible dimensions of a rectangular prism that can be formed by these unit cubes may be,

1 × 1 × 20 (One cube at the base)

1 × 2 × 10 (2 cubes at the base)

1 × 4 × 5 (4 cubes at base in a single row)

2 × 2 × 5 (4 cubes at the base with 2 cubes in length and 2 cubes in width)

Therefore, Jack can form four rectangular prisms with 20 unit cubes.

Answer:

It depends on the description you want to make. If you want to describe how separate is the data, then you would use a variation measure like a standard deviation which will compare each data with the mean.

On the other hand, if you want to measure how close the data is, then you would use central measures, like the mean or median, that will tell you the central value the whole data is pointing to.

Therefore, there's no bettter measures, it always depends on what aspect you want to highlight about the data set.

Answer:

5 x − 1 − 3 x y − c

The solution to the expression (5x-1)-(3xy+c) would be 5x - 1 - 3xy - c.

A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form Ax + B = 0.

The given expression is (5x-1)-(3xy+c)

The subtraction between them is

5x - 1 - 3xy - c

Thus, the subtraction would be 5x - 1 - 3xy - c.

Learn more about linear equations;

https://brainly.com/question/11897796

Answer:

226 grams

Step-by-step explanation:

The half-life of a radioactive substance is the time taken for half the quantity of the substance to decay such that the amount life after the given period of time is half the original quantity.

As such, given that the half-life of a certain radioactive element is 35 hours and there are 904 grams available, it means that after 35 hours,

Amount decayed = 1/2 * 904 grams

= 452 grams

Amount left = 904 grams - 452 grams

= 452 grams

After another 35 hours (now a total of 70 hours),

Amount decayed = 1/2 * 452 grams

= 226 grams

Amount left = 452 grams - 226 grams

= 226 grams

Answer:

15 is a less than 16

Step-by-step explanation:

Answer:

What are the choices??

Step-by-step explanation:

50=100%

X=90%

X=50*90%/100

X=45

Answer:

45

Step-by-step explanation

90/100 × 50/1 50 goes into 100 2

90/2 × 1/1 = 45

Hope this helps

Answer:

B. 19

Step-by-step explanation:

35-16=19

Answer 190 square inches

Step-by-step explanation:

If there wasn't a piece cut off of the rectangle, you would multiply 22 by 15 because those are the side lengths. However, there is a piece missing so it will not have a great of an area. On the left side, it says that the width is 8 because part of the side is cut off. On the other side, it says 22. This shows that 14 inches is cut off. So width of the missing piece is 14. Then you need to find the length. On the bottom. It says the length is 5 where the top says 15. That shows that 10 inches are missing. That means the missing side is 14x10 which is 140 square inches. If the rectangle was a whole, it would be 330. You subtract 140 from that and it makes 190 square inches.

Answer:

190 square inches.

Step-by-step explanation:

here is my work to follow to figure out a problem like this.

Answer:

Hello,

2 (d + 7) (d - 7)

Step-by-step explanation:

2 d² - 98 = 2 (d² - 49) = 2 (d² - 7²)

a² - b² = (a + b) (a - b)

2 (d² - 7²) = 2 (d + 7) (d - 7)

Answer:

(x-9)(x+2) = x^2 + 2x -9x -18  = x^2 -7x -18

Answer is B

Step-by-step explanation:

The key phrase here is "given you are in Sacramento". This means we only focus on the "Sacramento" row. Ignore everything else.

17 days are clear out of 30 total, so 17/30 = 0.5667 approximately and that rounds to 0.57

Answer:

21

Step-by-step explanation:

because it is only part of the bottom one so it should be 21 sorry if it wrong

Cos(angle) = adjacent leg/ hypotenuse

Cos(30) = x/24

X = cos(30) x 24

X = 20.78

X = 21

Answer:

D

Step-by-step explanation:

All the other answers are above $50 while D gives you $49.75.

Good luck!

Answer:

the answer is D

Step-by-step explanation:

because 46.25 plus 3.50 is equal to 49.65 so she can spend it without exceeding the limit

Answer:

D. 604

Step-by-step explanation:

411/3 = 137

137 + 388 = 525

----------------------------------

(n) 604 - 79 = 525

Answer:

It loses $400 a year

Step-by-step explanation

$2000 x 20% or .20 = $400 per year is what the computer loses.

It loses a great deal of value a year.

Answer: 100n

Step-by-step explanation:

Each year it looses 100$ of its value each year.

Answer:

Step-by-step explanation:

make 2 2/3 into an improper fraction by multiplying 2 by 3 and adding to 2

8/3

8/3 divided by 1/4 is the same as 8/3 multiplied by 4/1 (just 4)

[tex]\frac{8}{3}*\frac{4}{1} =\frac{32}{3}[/tex]

32/3=10 2/3

Answer:

[tex]28in^2[/tex]

Step-by-step explanation:

Split it up.

3 rectangles.

You have two congruent ones, whose area is 2 * 4 = 8 and their total is 16

Then you have another one whose area is 6 * 2 = 12

16 + 12 = 28

Answer:

the answer is 12

Step-by-step explanation:

you basically have to divide 8 by 2/3 then you would get 12

Answer:

300

Step-by-step explanation:

First you would find 10^2, which is 100. Then you just multiply 100 by 3.0 and get 300 :)

Answer:

To write in standard form, we have to move the decimal point in 3.14 over 2 places to the left since our exponent is −2. This gives us our answer of 0.0314.

I might be wrong.