anyone know how to do 1 & 2 ?

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:

4

Step-by-step explanation:

3,186/22= 144

144/36= 4

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:

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:

(fg)(x) = 5x^4 + 5x^3

Step-by-step explanation:

(fg)(x) = (5x^3)(x+1)

(fg)(x) = 5x^4 + 5x^3

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:

4/7

Step-by-step explanation:

There are 11 odd numbers less than or equal to 21.

There is 1 two.

11 + 1 = 12 ways

12 outcomes/ 21 total outcomes =

4/7

Answer:

15 is a less than 16

Step-by-step explanation:

Answer:

What are the choices??

Step-by-step explanation:

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;

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Answer:

B. 19

Step-by-step explanation:

35-16=19

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:

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.

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

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:

The values of variables x and m are 11 and 17

Step-by-step explanation:

The question has missing details as the diagram of the trapezoid isn't attached.

(See attachment).

Given that trapezoid CHLE is isosceles then the angles at the base area equal (4x)

And

The angles at the top are also equal

8m = 11x + 15

At this point, the four angles in the trapezoid are 8m, 11x + 15, 4x and 4x..

The sum of interior= 360

So,

11x + 15 + 8m + 4x + 4x = 360

Collect like terms

11x + 4x + 4x + 8m = 360 - 15

19x + 8m = 345

Substitute 11x + 15 for 8m

19x + 11x + 15 = 345

30x + 15 = 345

30x = 345 - 15

30x = 330

Divide through by 30

30x/30 = 330/30

x = 11

Recall that 8m = 11x + 15;

8m = 11(11) + 15

8m = 121 + 15

8m = 136

Divide through by 8

8m/8 = 136/8

m = 17

Hence, the values of variables x and m are 11 and 17

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:

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

is 8pi

it doesnt want you to actually times pi but leave pi alone

Step-by-step explanation:

i took the test got it wrong at first and reviewed it it said 8pi

The Volume of cone in terms of π is: 8π in³.

Volume of any cone with radius, r, and height, h, is determined using the formula: V = 1/3πr²h.

Given:

Thus:

Volume of cone = 1/3(π × 2² × 6)

Volume of cone = 1/3(24π)

Volume of cone = 8π in³.

Learn more about volume of cone on:

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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.

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;

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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

Answer:

It should be A

Step-by-step explanation:

multiply the - by 7/8 to get -7/8

Answer:A

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Answer:

Regular type is called the form in which polynomials are mostly used. The parameters are calibrated to the lowest degree. The polynomial x4 + 2x3+x+11 is standard, for instance, because four are most strong and three and one are the strongest.

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

Since all of the sides of this triangle are shown to be congruent, this must be an equilateral triangle. In an equilateral triangle, all of the angles are equal to 60 degrees. Therefore, x is 60. Hope this helps!

Answer:

60

Step-by-step explanation:

If all sides all have the same angles then we will divide 180 by 3 which will give us our answer 60.

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:

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:

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:

6 units²

Step-by-step explanation:

Answer:

x+4

4+x

x-4

-4+x

4-x

36-x

x-36

4-x

Step-by-step explanation:

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