If an object is dropped from a height of 55 feet, the function d = -16^2 + 55 gives the height of the object after t seconds. Graph this function. Approximately how long does it take the object to reach the ground (d=0)

Answer:

The answer is 17/12

Step-by-step explanation:

3/4 + 2/3

= 9/12 + 8/12

= 9 + 8/12

= 17/12

We must find the common denominator.

The list of multiples of 4: 0, 4, 8, 12, 16, 20, ...

The list of multiples of 3: 0, 3, 6, 9, 12, 15, 18, ...

The common denominator is 12.

[tex]\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}[/tex]

Therefore:

[tex]\dfrac{3}{4}+\dfrac{2}{3}=\dfrac{9}{12}+\dfrac{8}{12}=\dfrac{9+8}{12}=\dfrac{17}{12}=\dfrac{12+5}{12}=1\dfrac{5}{12}[/tex]

Answer:

4

Step-by-step explanation:

To evaluate a function with certain defined values, we must substitute the values ​​in the equation, perform the indicated operations and in this way we obtain the final value.

If j = 25  and k=5

replacing in the equation

[tex]\frac{j}{k} -0.2k = \frac{25}{5} -0.2(5)  = 5 -1 = 4[/tex]

Answer:

find below

Step-by-step explanation:

-2/3 (-3 – 9x) = 2+6x

2+6x

Answer:

see below

Step-by-step explanation:

1) 4

2) 1 or -1

[tex]\bf 200 > 4.50x+35\implies 165 > 4.50x\implies \cfrac{165}{4.50}>x\implies \cfrac{110}{3}>x[/tex]

which is about 36.67 > x.

I believe you are asking for the answer choices to the lesson Perpendicular and Angle Bisectors U6 L2. Here are the answers for it:

1. B

2. C

3. A

4. C

5. C

Answer:

Step-by-step explanation:

What is the scale of the map? Just multiply the ratio (distance on map x actual distance) by 5.

Answer:

I don't know I don't know I don't know I don't know

Answer:

? = 30

Step-by-step explanation:

If the triangles are similar, then the only way I see this working is the sides measuring 63 and 54 are corresponding. The sides measuring 56 and 48 are corresponding. That leaves the sides measuring 35 and ? corresponding.

Set up a proportion.

63/54 = 35/?

63? = 54 * 35

63? = 1890

? = 30

Hi there! :)

Step-by-step explanation:

[tex]SLOPE=\frac{Y_2-Y_1}{X_2-X_1}=\frac{RISE}{RUN}[/tex]

[tex]\frac{8-(-6)}{(-4)-2}=\frac{14}{-6}=\frac{14}{-6}[/tex]

Slope is 14/-6

Final answer is 14/-6

Hope this helps!

-Charlie

Have a nice day! :)

:D

Thanks!

Answer:

x=9 y=24

Step-by-step explanation:

take the triangle with 43 Degrees and 90 degrees to get the answer for that missing angle.

which equals 133

subtract 133 from 180 and get 47

then set 5x+2 = 47 because opposite angles are equal to each other

-2 on both sides

5x=45

divide by 5

x=9

then take 3y+1=?

add 47 + 60 =107

180-107=73

3y+1=73

-1 both sides

72

divide by 3

y=24

Answer:

Part A

(5x+4)+(6x-9)=11x-5

part (B)

(5x+4)(6x-9)

30x²-45x+24x-36

30x²-21x-36

part (c)

m[n(x)]=m(6x-9)+4=30x-45+4=30x-41

Step-by-step explanation:

Answer:

The company will break even at x=1 and x=4.

Step-by-step explanation:

The given profit function is

[tex]P(x)=-x^4-2x^3+21x^2+22x-40[/tex]

Where, x is number of commercials.

Use synthetic division or long division to find the factors of the function.

[tex]P(x)=(x-1)(x^3+3x^2-18x-40)[/tex]

[tex]P(x)=(x-1)(x+2)(x^2+x-20)[/tex]

[tex]P(x) = -(x - 4) (x - 1) (x + 2) (x + 5)[/tex]

Equate P(x)=0, to find the break even points.

[tex]-(x - 4) (x - 1) (x + 2) (x + 5)=0[/tex]

Use zero product property and equate each factor equal to zero.

[tex]x=4,1,-2,-5[/tex]

Therefore the zeros of the function P(x) are 4, 1, -2 and -5. Since x is number of commercials, therefore the value of x must be positive. Therefore the company will break even at x=1 and x=4.

The higher degree of the function is even and the leading coefficient is negative. So,

[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow \infty[/tex]

[tex]P(x)\rightarrow -\infty \text{ as }x\rightarrow -\infty[/tex]

Since the value of x must be positive, therefore the left end point is y-intercept of the graph, i.e., (0,-40).

Therefore the company faces huge loss when the number of commercials increases unboundly.

The graph of the function is given below.

The polynomial 5x3 + 2x + 7x5 written in descending form is 7x5 + 5x3 + 2x, organized from the highest to the lowest power of x.

To write the polynomial 5x3 + 2x + 7x5 in descending form, arrange the terms in order from the highest power of x to the lowest. The given polynomial has the terms with powers of 5, 3, and 1. Organizing the polynomial in descending order of the exponents gives us:

7x5 + 5x3 + 2x.

As we can see, the term with the highest exponent, 7x5 (degree 5), comes first, followed by 5x3 (degree 3), and lastly the term with the lowest degree, 2x (degree 1).

Answer:

Answer is B. $624

Step-by-step explanation:

So first off, you multiply. Amara earns $8 every hour and she works 25 hours every week. There are 4 weeks in a month so we first multiply 25 × 4 and we get 100

Now we multiply 100 × $8 and you get $800

But then it says that 22% of her money goes to taxes. So what we have to do is reduce from that total gross pay ($800). So the first thing we do is change the 22% to a decimal by moving the invisible decimal point twice to the left and it leaves us with .22

Now, we multiply $800 × .22 and we get $176. Now, do not get confused! This $176 is not the final answer! That is just the amount of money we have to take away not the money it leaves us with.

So we take away now from our total: $800 - $176 = $624

And there's your answer! I hope this helps :)

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) y=800x+1000=800(12)+1000

b)y=1000x              (15 months)  

Answer:

Linear model is given as

Total cost of renting = 1000 + n(800)

Total cost of renting for 6 months = $5800

Step-by-step explanation:

The linear model can be represented as follows ;

The one time fee = $1000

monthly fee = $ 800

Total cost of renting = 1000 + n(800)

n  = number of month you will rent

Total cost of renting office space for 6 months can be computed using the model.

Total cost of renting = 1000 + n(800)

where n = 6 months

Total cost of renting for 6 months = 1000 + 6(800)

Total cost of renting for 6 months = 1000 + 4800

Total cost of renting for 6 months = $5800

Answer:

Step-by-step explanation:

(-3/7)*(-4/11)

12/77

Answer:

=-12/7 or -1.71429....

Step-by-step explanation:

Answer: A. (4,0)

Step-by-step explanation: It is the only ordered pairs that are on the line.

Hope this helps! :)

Answer:

A. The car travels the same distance per unit of time because the portion shows a linear, increasing function.

Step-by-step explanation:

The portion of the graph labelled I is linear increasing function. So, the slope is constant. The slope is the the ratio of change in the quantity of y-axis to that of x-axis.

Here distance is plotted in the y-axis and time in the x-axis.

So, the slope here is Distance covered/ Time, which is nothing but the speed of the car.

Since the slope is constant, the car is travelling at a constant speed in the portion of the graph labelled I, which means, the car travels the same distance per unit of time in the portion I.

Answer:

its a hope this helps

Step-by-step explanation:

Answer:

It would be B, Both are linear because the slope is a normal number like 4&-5)

Step-by-step explanation:

They are both linear because they are straight lines.

Answer:

Equation A is nonlinear and Equation B is linear.

If its wrong please tell me and I'll see what i did wrong. Please and Thank you!

Hope this is helpful!

Answer: we need the measurements

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

To solve for any missing side of a triangle, simply use the Pythagorean Theorem.

[tex]a^2 + b^2 = c^2[/tex]

[tex]c^2=12^2+5^2\\c^2 = 144 +25\\\sqrt{c^2} = \sqrt{169} \\\text{The square root of 169 is 13}[/tex]

The length of the hypotenuse (C) in a right triangle given sides A=12 and B=5 can be calculated using the Pythagorean theorem. Substituting these values leads to a calculation of √169, resulting in C being 13.

The subject at hand pertains to the Pythagorean Theorem. This theorem states that in a right triangle, the square of the length of the hypotenuse (side C) is equal to the sum of the squares of the lengths of the other two sides (A and B). Hence, the formula is a² + b² = c².

Given that A=12 and B=5, we substitute these values into the Pythagorean theorem. Therefore, the calculation is C = √(12² + 5²). This simplifies to C = √(144 + 25), which further simplifies to C = √169. Thus, the length of the hypotenuse C is 13.

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33/4 = 8.25 per hour.

Answer:

12/24

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing. The number of shaded squares is 12. While the total number of squares is 24. We write the ratio as shaded : total.

12:24 or

[tex]\frac{12}{24}[/tex] or

0.5 as a decimal.

Answer:

Step-by-step explanation:

The common difference of the sequence is -5

Since the difference is -5

a_n= 7+(n-1)(-5)

a_n = 7-5n+5

a_n = 12-5n