What are the zeros of f(x)=x^2-8x+16

Final answer:

The squirrel reaches a height of 4 feet twice during its trajectory: once on the way up and once on the way down due to symmetrical motion.

Explanation:

The squirrel will reach a height of 4 feet twice during its trajectory. To understand why, let's analyze the motion. The squirrel's vertical motion can be described by the equation [tex]\( h(t) = h_0 + v_0t - \frac{1}{2}gt^2 \),[/tex] where [tex]\( h(t) \)[/tex] is the height at time[tex]\( t \), \( h_0 \) is the initial height, \( v_0 \) is the initial velocity, and \( g \) is the acceleration due[/tex]  to gravity.

Given that[tex]\( h_0 = 0 \), \( v_0 = 16 \) ft/s, and \( g = 32 \) ft/s^2,[/tex] we can plug in these values to find the times at which the squirrel reaches a height of 4 feet. Solving the equation[tex]\( h(t) = 4 \) for \( t \),[/tex] we get two solutions:[tex]\( t = 1 \) second and \( t = 3 \)[/tex] seconds. This means the squirrel reaches a height of 4 feet once on its way up and once on its way down. So, the squirrel reaches a height of 4 feet twice.

Answer:

Step-by-step explanation:

s = sequence

[tex]s_{1}[/tex] = first term of sequence

[tex]s_{1}[/tex] = 7

[tex]s_{4}[/tex] = 16

Find the difference between the term number and the values.

Terms:

4 - 1 = 3

Values:

16 - 7 = 9

For every 3 terms, you add 9.

Divide, to find the amount you add for 1 terms.

3 / 3 = 1

9 / 3 = 3

For every 1 terms, you add 3.

[tex]s_{1}[/tex]= 7

[tex]s_{2}[/tex]= 10

[tex]s_{3}[/tex]= 13

[tex]s_{4}[/tex]= 16

[tex]s_{5}[/tex]= 19

[tex]s_{6}[/tex]= 22

Answer:49,000

Step-by-step explanation:you just multiply it

Answer:

He earned $3 per hour for mowing lawns.

Step-by-step explanation:

I did the assignment

Answer: OPTION D

Step-by-step explanation:

To solve this problem you must apply the formula for calculate  the surface area of the rectangular prism:

[tex]SA=2(wh+lw+lh)[/tex]

Where w is the width, h is the heigh and l is the lenght.

Based on the rectangular prism shown, you have that:

[tex]w=9.08cm\\h=3.23cm\\l=11.73cm[/tex]

Finally when you substitute values into the formula you obtain the following result:

[tex]SA=2[(9.08cm*3.23cm)+(11.73cm*9.08cm)+(11.73cm*3.23cm)]=347.45cm^2[/tex]

Answer:

D

Step-by-step explanation:

The surface area is the area of all the surfaces, together.

A rectangular prism has 6 rectangular surfaces. We need to add those 6 faces and sum it.

Area = 2 ( 3.23 * 9.08 ) = 58.6568

Area = 2 ( 3.23 * 11.73 ) = 75.7758

Area = 2 ( 11.73 * 9.08 ) = 213.0168

Summing all of them up,

Surface area of Rectangular Prism = 58.6568 + 75.7758 + 213.0168

=347.4494

* Rounding to nearest hundredth, 347.45 cm ^2

Answer:67

Step-by-step explanation:

8.25 divided by 100=0.0825

x^2+3x-8-2x^2+x-5

Collect Like Terms and Simplify

-x^2+4x-13

Therefore D is the correct answer

Answer:

1/2

Step-by-step explanation:

if the one line's slope is m = –2, then the perpendicular line's slope will be m= 1/2 (the slope of a perpendicular line is the reciprocal of the slope of the first line)

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

I will call [tex]m_{a}[/tex] the slope of line [tex]a[/tex], and [tex]m_{b}[/tex] the slope of line [tex]b[/tex].

For two lines to be perpendicular, the following must be satisfied:

[tex]m_{a}*m_{b}=-1[/tex]

in this case we know:

[tex]m_{a}=-2[/tex]

so:

[tex](-2)*m_{b}=-1[/tex]

And clearing for the slope of line [tex]b[/tex]:

[tex]m_{b}=\frac{-1}{-2} \\m_{b}=\frac{1}{2}[/tex]

The slope of the line [tex]b[/tex] which is perpendicular to line [tex]a[/tex] is [tex]\frac{1}{2}[/tex]

Now, as the pizza is circular, so it does not matter about the box shape. If the box shape increases or decreases, the pizza shape is the same.

Now, we have been asked about the largest pizza radii that can fit in the box, so we will consider the shortest value of the box.

The width is given as 14 inches. There is a 2 inch border around the pizza. So, the width is 14-4 = 10 inches. (Now assume this as the diameter of pizza)

And the radius is = [tex]\frac{10}{2}=5[/tex] inches.

So, the largest pizza that can fit in the box will have a radius of 5 inches.

Answer:

see below

Step-by-step explanation:

Let q = number of quarters

Each quarter is worth .25

The total is 9.50

.25q = 9.50

Divide each side by .25

.25q/.25 = 9.50/.25

q =38

she has 38 quarters

Answer:

B:960cm^3

Step-by-step explanation:

12*8=96

96/2*20=960∴

ans:960cm^3

Answer:

2x+3y

Step-by-step explanation:

first you group up the sides and subtract from the perimeter to get the last side. then combine all the sides to see if your answer is correct.

Answer:

5652 cm³

Step-by-step explanation:

V = 2πr² + 2πrh

  = (2 × 3.14 × 3.14 × 20 ×20) + (2 × 3.14 × 20 × 25)

  = 2512 + 3140

  = 5652 cm³

Answer: 204.333333333

Step-by-step explanation:

Answer:

204.3

Step-by-step explanation:

6 cannot be divided by 1, so you move to the next number and divide it by 12

6 fits into 12 TWO times, so subtract 12 by 12.

Bring down the 2 from the original problem

6 cannot fit into 2, so the number is 0

Bring down the 6 from the original problem

6 fits into 26 FOUR times, there for the next answer number is four

If you need a remainder, there is a REMAINDER of 2

If you need a decimal, 0 will continue to be brought down, but nothing will fit into 20.

The decimal is .333 repeating

The attachment should make it more clear.

Answer:

7238 cm³

Step-by-step explanation:

The radius of the great circle is the radius of the sphere.

The formula for the volume of a sphere is

V = ⁴/₃πr³

V = ⁴/₃π (12)³ = ⁴/₃π × 1728 = 2304π cm³ ≈ 7238 cm³

Volume is a three-dimensional scalar quantity. The volume of a sphere with a great circle of radius 12 cm is 7238.2295 cm³.

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface. It is a three-dimensional scalar quantity.

The volume of the sphere with a radius of 12 cm is,

The volume of the sphere = 4/3 πr³

                                            = (4/3) × π × (12)³

                                            = 7238.2295 cm³

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Answer:

The maximum number of points is [tex]140\ points[/tex]

Step-by-step explanation:

we know that

Essay question represent the 10% on Mrs. Moore's English final exam

so

To find the number of points in Essay questions multiply the percent by total questions and then multiply by the value of 10 points each

[tex]10\%=10/100=0.10[/tex]

[tex]0.10*50=5\ Essay\ questions[/tex]

[tex]5*10=50\ points[/tex]

The remaining questions are

[tex]50-5=45\ questions[/tex]

To find the number of points in the remaining questions multiply the number of remaining questions by the value of 2 points each

[tex]45*2=90\ points[/tex]

therefore

The maximum number of points is

[tex]50\ points+90\ points=140\ points[/tex]

Answer:

y = 13

Step-by-step explanation:

If Mr Gan packs 3 candies in each bag, he will have 4 extra candies left over. Therefore

3x + 4 = y

where 'x' represents the number of bags, and 'y' the total number of candies he has.

If Mr. Gan packs 5 candies in each bag, he will be short of 2 candies.

5x - 2 = y

To find the number of candies he has, we need to solve the system of equations ove:

3x + 4 = 5x - 2

6 = 2x

x = 3

Now, to find 'y':

5(3) - 2 = y

y = 13

Therefore, Mr. Gan has 13 candies.

Mr. Gan could have 7, 10, 13, or 16 candies.

Let's assume that Mr. Gan has x candies.

If he packs 3 candies in each bag, he will have 4 extra candies left over. This means that the total number of candies can be expressed as 3n + 4, where n is the number of bags. Since we know that Mr. Gan has fewer than 20 candies, we can set up the inequality:

3n + 4 < 20

Solving this inequality, we find that n < 5.

If he packs 5 candies in each bag, he will be short of 2 candies. This means that the total number of candies can be expressed as 5m - 2, where m is the number of bags. Using the same reasoning, we can set up the inequality:

5m - 2 < 20

Solving this inequality, we find that m < 4.

Combining the two inequalities, we know that n < 5 and m < 4. Since n and m represent the number of bags, they must be positive integers. So the possible values for n are 1, 2, 3, and 4, and the possible values for m are 1, 2, and 3.

If we substitute these values into the equations, we can find the corresponding number of candies:

If n = 1, then 3n + 4 = 7 candies.

If n = 2, then 3n + 4 = 10 candies.

If n = 3, then 3n + 4 = 13 candies.

If n = 4, then 3n + 4 = 16 candies.

If m = 1, then 5m - 2 = 3 candies.

If m = 2, then 5m - 2 = 8 candies.

If m = 3, then 5m - 2 = 13 candies.

Since Mr. Gan has fewer than 20 candies, the only possible values for the number of candies he has are 7, 10, 13, and 16.

Answer:

(-6, 3)

Step-by-step explanation:

What you do is based off the image point (-9, 5). What you do is you go 3 units right which is like -9+3=-6. Then you will go 2 units down which is like 5-2=3.

(-6, 3) is your answer.

The image point of (-9,5) after a translation right 3 units and down 2 units is (-6,3).

We add 3 to the x-coordinate for the right translation and subtract 2 from the y-coordinate for the downward translation.

The image point of (-9,5) after a translation right 3 units and down 2 units can be found by changing the x-coordinate and the y-coordinate according to the translation vectors. Since we are moving right, we add 3 to the x-coordinate, and since we are moving down, we subtract 2 from the y-coordinate. The step-by-step process is:

Translate right 3 units: Add 3 to the x-coordinate (-9). So, -9 + 3 = -6.

Translate down 2 units: Subtract 2 from the y-coordinate (5). So, 5 - 2 = 3.

Therefore, the image point after the translation is (-6,3).

Answer:

78 cm²

Step-by-step explanation:

since all sides are congruent you multiply the one measurement 6 times,so you do 13 × 6 equals 78

Answer:

I GOT U ITS C DIDN'T HAVE TIME TO WRITE EXPLANATION SEEMS U IN A HURRY

Step-by-step explanation:

Answer:

V=8xxxyyy=8x³y³

Step-by-step explanation:

In the question, V=lwh, the value for l is given to us as 2xy. Because it is a cube, all of the length of the edges are the same, so l=w=h, which means w=2xy and h=2xy.

Plug in w=2xy h=2xy l=2xy into the equation V=lwh.

V=2xy·2xy·2xy

V=(2·2·2)(x·x·x)(y·y·y)

V=8xxxyyy=8x³y³

Answer: bisect

Step-by-step explanation:

A segment that is bisected is divided into 2 congruent (equal) lengths from the midpoint.

An angle that is bisected is divided into 2 congruent (equal) angles.

Answer:

5.66038

Step-by-step explanation:

Given  

Mean= μ=100

SD= σ=5.3

Z-score of 130= ?

The z-score of any value tells us that how many standard deviations that value is from the average or mean.

The Z-score of any data value is found by subtracting the mean from it and then dividing by the standard deviation.

z-score=  (x- μ)/σ

z-score of 130=  (130-100)/5.3

=30/5.3

=5.66038

Answer:

D

Step-by-step explanation:

An exponential function which crosses through (1,3) and (2,9) will have a base of 3 since the y values are multiples of 3.

3^1 = 3

3^2 = 9

This means that the function is y = 3^x.

Answer:

Completing the square.

Step-by-step explanation:

since there is no "a" term and the bx term is even, completing the square is your best bet.

For this case we have as a simpler method the factorization. We must find two numbers that multiplied as a result +3 and added as a result +4.

These numbers are:

3 and 1.[tex]3 + 1 = 4\\\\3 * 1 = 3[/tex]

So, we have to:

[tex]x ^2 + 4x + 3 =\\(x + 3) (x+1)[/tex]

Answer:

[tex](x + 3) (x + 1)[/tex]

Divide the volume by the height to find the area of the base:

3042 / 18 = 169 square cm

Since the base is square both the length and the width are the same,

so find the length take the square root of the base:

Side length = √169 = 13 cm

Answer:  a = 11.1

Step-by-step explanation:

a(0.3 - y) + 1.1 + 2.4x = 0

Let y = 1.3 → a(0.3 - 1.3) + 1.1 + 2.4x = 0 → -a + 1.1 + 2.4x = 0 → a = 1.1 + 2.4x

(y - 1.2) = -1.2(x - 0.5)

Let y = 1.3 → (1.3 - 1.2) = -1.2(x - 0.5) → 0.1 = -1.2x + 0.6 → -0.5 = -1.2x → [tex]\dfrac{50}{12}=x\ \rightarrow\ \dfrac{25}{6}=x[/tex]

a = 1.1 + 2.4x

   [tex]=1.1+2.4\bigg(\dfrac{25}{6}\bigg)[/tex]

   = 1.1 + 0.4(25)

   = 1.1 + 10

   = 11.1

Answer: I agree with 11.1

Step-by-step explanation:

Answer:

Opt. D. AB=WX

Step-by-step explanation:

If we take the rectangle from its original position and then rotate it 90° we will see that the horizontal sides will form now vertical sides. That is Why AB side is now WX.

Answer: 10%

Step-by-step explanation: The formula to calculate simple interest is Interest = Principal x Rate x Time

With the number in the formula, 112.50 = 1,250 x r x 1

Simplify:

112.50 = 1,250r

Divide both sides by 1,250:

.1 = r

Therefore, the rate is 10%

Total cost

13 1/4 × $1.20

=53/4 × $1.20

=$15.90

Alfred + 4 friends = 5 person

So, each person must pay

$15.90÷5

=$3.18

Answer

$3.18

Using arithmetic simplification, the amount paid by each person since the cost is shared evenly is $3.18

The total cost of gummy bear :

Number of people involved = Alfred + 4 friends = 5

Since the cost is shared evenly ; the amount paid per person can be calculated thus :

Cost per person = $15.90 ÷ 5 = $3.18

Therefore, each person will pay a sum of $3.18

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