PLEASE HELP! 20 POINTS 1) A ball is thrown starting at a time of 0 and a height of 2 meters. The height of the ball follows the function H(t)=−4.9t2+25t+2. What is the height of the ball at each second from 0 to 5? (I'll put a picture of the graph.) 2) Which expression could represent the height of a soccer ball as it is in the air after being kicked? (This is part 2 to question 1) A. −16t+9 B. −16t2+4t3 C. 9t2+25t D. −16t2+25t+1

Answer:

x = -0.4

x = -(2/5)

Answer:

x = ± √5

Step-by-step explanation:

Please indicate exponentiation by using the symbol " ^ ":

5x^2 + 25x = 0

Divide all three terms by 5.  We get:

x^2 + 5 = 0, or x^2 = -5

Then x = ± √5

Answer:

Yes

Step-by-step explanation:

Answer:

y < -4

Step-by-step explanation:

-5y+6>26

subtract 6 from each side

-5y+6-6>26-6

-5y > 20

Divide each side by -5. remembering to flip the inequality

-5y/-5 < 20/-5

y < -4

Answer:

19.9 cm²

Step-by-step explanation:

The following data were obtained from the question:

Angle at the centre (θ) = 150°

Diameter (d) = 7.8 cm

Area of sector =.?

Next, we shall determine the radius.

This can be obtained as illustrated below:

Radius (r) = Diameter (d) /2

r = d/2

Diameter (d) = 7.8 cm

Radius (r) =.?

r = d/2

r = 7.8/2

r = 3.9 cm

Finally, we shall determine the area of the sector as follow:

Angle at the centre (θ) = 150°

Radius (r) = 3.9 cm

Pi (π) = 3.14

Area of sector (A) =.?

A = θ/360 × πr²

A = 150/360 × 3.14 × 3.9²

A = 15/36 × 3.14 × 15.21

A = 19.9 cm²

Therefore, the area of the sector is 19.9 cm²

Answer:

$11.76 is the charge for bag.

Step-by-step explanation:

Given:

One way fare = $98

Weight of bag = 52 pounds

Rate per pound Charges on baggage over 40 pounds = 1% of the one-way fare

To find:

Charge for bag = ?

Solution:

Pounds more than 40 pounds = Weight of baggage - 40 pounds

[tex]\Rightarrow 52-40 = 12\ pounds[/tex]

Charges on extra baggage = 1% of one-way fare multiplied by pounds more than 40.

Here one way fare is $98.

So, charges on extra baggage will be:

[tex]1\%\ of\ 98 \times (52-40) \\\Rightarrow 1\%\ of\ 98\times (12)\\\Rightarrow \dfrac{1}{100}\ of\ (98 \times 12)\\\Rightarrow \dfrac{1}{100}\times (98 \times 12)\\\Rightarrow \bold{\$11.76}[/tex]

So, the charge for the baggage is $11.76.

Answer:

D

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 5 and (a, b) = (5, - 8 ), thus

y - (- 8) = 5( x - 5), that is

y + 8 = 5(x - 5) → D

Answer:

The apartment with the number 207 is in the second floor of the building that comes before the building with apartments numbered 109, 110, 111, and 112

Step-by-step explanation:

The given information of the naming of the apartments are;

The four apartments on the first floor of the building were numbered, 109, 110, 111, and 112

Therefore;

The first digit number, 1, which is consistent, represent the floor number (first floor)

The buildings in the complex are 9-story buildings, with 9 × 4 = 36 Apartments each

Therefore, for the numbers of the apartment to be from 9 to 12, on the floor, the numbering of the apartments is sideways such that the numbers of the apartment in the given building will be X09, X10, X11, and X12, where X is the floor number

The previous building apartment will be numbered X05, X06, X07, X08

Therefore, the apartment with the number 207 is in the second floor of the previous building to the one given.

Answer:

Apartment 207 is in 7th floor of the building number 6 .

Step-by-step explanation:

Given:

There are 9 floors in the building

The number of building and floor of apartment 207 .

Each floor in the building has four apartments

The number of apartment in a building = 4 * 9 = 36

Numbers on each floors are 01 to 36 after floor number

first floor of one of the buildings, we have four apartments numbered 109, 110, 111, and 112.

From the numbers, 1 is representing the floor number

9 , 10 , 11 & 12 are representing four apartments number

Recall,

Each floor has 4 apartments

207 = 36 * 5 + 4 * 6 + 3

36 * 5 = 5 buildings

4 * 6 = 6 floor of 6th building

180+24=204

205 - 208 =6th building 7th floor

Apartment 207 is in 7th floor of the building number 6 .

Answer:

[tex]\boxed{\sf D. \ Parallelogram}[/tex]

Step-by-step explanation:

When we graph the points, the polygon is a quadrilateral with opposite parallel sides. The type of polygon formed by these points is a parallelogram.

Answer:

Parallelogram

Step-by-step explanation:

We'll graph all of the points from which we'll come to know that it is a parallelogram having opposite sides equal and parallel.

See the attached file for more understanding.

Answer:

9, 13, 17, 21

Step-by-step explanation:

If x=2,

y=1+4(2)

y=9

This goes on, like a pattern. If x increases by 1, y inreases by 4. So, if y=3, x=13. If x=4, y=17, and so on.

Answer:

$52,500

Step-by-step explanation:

1050/0.0200=52500

Answer:

B. 52,500

Step-by-step explanation:

You can do the proportion  

1 inch/ 80 miles =x inch/ 1100 miles

1100=80x

11oo divided by 80 equals 13.75

The trip would be about 13.75 inches on the map

Feel free to brainliest :)

Answer:

13.75 inches

Step-by-step explanation:

To find an estimated distance on the map, we can simply create a proportion.

Let X represent the unknown distance in inches on the map.

1100 miles / 80 miles = X inches / 1 inch

Now let's solve for X.

X inches = (1100 miles / 80 miles) * 1 inch

X inches = 13.75 inches

So the approximate travel distance on the map will be 13.75 inches.

Answer:

7000 (7 thousand)

700 (7 hundred)

20 (2 tens)

2 (2 units)

Step-by-step explanation:

what is the relationship between the values of the given digits?

1. The 7s in 7,700

2. The 2's in 522

From the knowledge of place values;

7,700 could be broken down thus :

7000 + 700 + 0 + 0

The first 7 depicts thousands as it has 3 trailing digits (7000)

The second 7 depicts hundred as it has 2 trailing digits (700)

522 could be broken down thus :

500 + 20 + 2

From 522

The first '2' has one trailing digit = tens

The ending / last digit ia always = Unit value

Let f(x) = y

y = log3(x+1) - 1

Plug x in y and y in x

x = log3(y+1) - 1

x + 1 = log3(y+1)

3^(x+1) - 1 = y

[tex]y = 3^{x+1}[/tex] - 1

This is the inverse function.

Hope it helps! xxxx

Answer:

y = [tex]3^{(x+1)}[/tex] -1

Step-by-step explanation:

x = [tex]log_{3}[/tex](y + 1) - 1

x + 1 = log₃(y + 1)

[tex]3^{(x+1)}[/tex] = y + 1

[tex]3^{(x+1)}[/tex] -1 = y

Answer:

2.5 Yards

Step-by-step explanation:

Multiply 5/8 by 4

Answer:a

Step-by-step explanation:

Answer:

length = 100

width = 25

Step-by-step explanation:

Let L = length of red rectangle

Let H = height of red rectangle

Equation1:   L+H=125 : we know the perimeter is 250 so L+H is 125

Equation2:   L*H=2,500 : we know the area is 2,500

Equation3:   L=125-H : subtracted H from both sides of Equation1

Equation4:   (125-H)*H=2,500 : substituted "125-H" for L into Equation2

Solve equation4:

  (125-H)*H=2,500   multiple terms on left side of equation

  125H - H^2 = 2,500   rearrange into standard form

  H^2 - 125H + 2,500 = 0

At this point you can "brute force" the answer with the quadratic formula:

H = (125 ± SQRT(125^2 - 4*1*2500) ) / 2

H = 100 or H = 25 : actually these are L and H

You could also factor the equation:

(H - 100) * (H - 25) = 0 : gives same answe

Answer:

D. Absolute value parent function

we can know fro the symbol |x| in the question written f(x)= |3|

Answer: 18

Do Keep Change Flip (KCF)

Keep: 9/2

Change: ÷ into ×

Flip: 1/4 into 4/1

Your new problem should be 9/2×4/1

Multiply

9/2×4/1=36/2

36/2=18

Final Answer: 18

Answer:

h = 108.8 m

Step-by-step explanation:

x = tanФ h

x = 68m

Ф = 32°

h = unknown

68 = tan(32°) * h

h = 68 / tan(32°)

h = 108.8 m

Answer:

4x(x+2) - x(3x+5)

Step-by-step explanation:

the area of the whole box is 4x(x+2)

to find the area of the shaded portion you have to subtract the area of the tiny box from the big box

the area of the tiny box is x(3x+5)

so, 4x(x+2) - x(3x+5) is the expression you can use to find the area of the shaded portion

Answer:

[tex]g^{-1}(x)=-6-\frac{x}{3} =-\frac{x}{3} -6[/tex]

Step-by-step explanation:

First assign a letter "y" to g(x) and get rid of parenthesis on the right:

[tex]g(x)=-3\,(x+6)\\y=-3x-18[/tex]

Now, solve for "x":

[tex]3x=-18-y\\x=\frac{-18-y}{3}\\x=-6-\frac{y}{3}[/tex]

now replace y with x, and call x : [tex]g^{-1}(x)[/tex]

[tex]x=-6-\frac{y}{3} \\g^{-1}(x)=-6-\frac{x}{3}[/tex]

Answer:

-6 - [tex]\frac{x}{3}[/tex]

Step-by-step explanation:

Answer:

z= -3

Step-by-step explanation:

Given:

1/2z =-3/4 + 1/4z

Collect like terms

1/2z - 1/4z = -3/4

Add 1/2z - 1/4z

2z-z / 4 = -3/4

We have

z/4=-3/4

Same as

z(1/4) = -3/4

Divide both sides by 1/4

z(1/4) ÷ 1/4 = -3/4÷1/4

z(1/4) × 4/1= -3/4 × 4/1

z(4/4) = -12/4

z= -3

The value of z= -3

Answer:

-3

Step-by-step explanation:

I got it right on the test

Answer: m= 44

Step-by-step explanation:

1/2m - 3/4n = 16    when n is 8  put it into the equation and solve for m.

1/2m - 3/4(8) = 16

1/2m - 6 = 16  

          +6  +6

1/2m = 22

m = 44

Answer:

44

Step-by-step explanation:

● (1/2 )× m - (3/4) × n = 16

Replace n by 8 and the fraction by decimal numbers (1/2 = 0.4 and 3/4 =0.75)

● 0.5 × m - 0.75 × 8 = 16

● 0.5m - 6 = 16

Add 6 to both sides

● 0.5 m - 6 + 6 = 16+ 6

● 0.5 m = 22

Multiply both sides by 2

● 0.5m × 2 = 22 × 2

● m = 44

Answer:

The answer is -0.04

Step-by-step explanation:

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent

Step-by-step explanation:

The coordinates of triangle PQR are;

P(4, 0)

Q(0, 4)

R(-8, -4)

The coordinates of triangle P'Q'R' are;

P'(1, 0)

Q'(0, -1)

R'(-2, -1)

Part A:

The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' can be found from the ratio of the respective coordinates as follows;

The ratio of the x, and y coordinates of the points are;

P'/P  = x'/x = 1/4, y'/y =0/0

R'/R = x'/x = -2/-8 = 1/4, y'/y =-1/-4 = 1/4

Therefore, the scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' = 1/4

Part B: For reflection across the y-axis, we have;

Pre-image (x, y) becomes the image, (-x, y)

Therefore, we have;

Reflection of P'(1, 0) about the y-xis becomes P''(-1, 0)

Reflection of Q'(0, -1) about the y-xis becomes Q''(0, -1)

Reflection of R'(-2, -1) about the y-xis becomes R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are similar but they are not congruent as the dimensions of PQR are larger than the dimensions of the sides of triangle P''Q''R''.

(A) The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R'  is 1/4

(B) Coordinates of Δ P"Q"R"

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) Triangles PQR and P"Q"R" are not congruent.

Given

ΔPQR is transformed into ΔP'Q'R'

Coordinates of P, Q, R are

P (4,0),

Q(0,-4)

R(-8,-4)

Coordinates of P'Q'R' are

P'(1,0)

Q'(0,-1)

R'(-2,-1)

(A) By Distance formula we can find the distance between P Q and P'Q'

Distance formula = [tex]D= \sqrt{(X_2-X_1)^2+(Y_2-Y_1)^2 }[/tex]

Where D = Distance between two points [tex](X_1.Y_1) \; and\; (X_2.Y_2)[/tex]

from distance formula we can write that

[tex]PQ = \sqrt{(0-4)^2+ (-4-0)^2} }\\[/tex]

PQ = [tex]4\sqrt{2}[/tex]

Similarly

P'Q'= [tex]\sqrt{2}[/tex]

PQ /P'Q' = 4

hence the scale factor of dilation is 1/4 (Compression)

(B )The Coordinates of Reflection about y axis can be written for a point

[tex](x,y ) \; as \; (-x,y)[/tex]

So the Coordinated of Δ P"Q"R" can be written as

P" (-1,0)

Q"(0,-1)

R"(2,-1)

(C) ΔPQR  and ΔP"Q"R" are similar triangles but they are not  congruent because their sides  are not equal in size.

For more information please refer to the link below

https://brainly.com/question/12413243

Answer:

domain { -9,1,3,8)

range{ -2,1,2,8}

Step-by-step explanation:

The domain is the inputs

Domain = 3,8,-9,1

We write them in the order from smallest to largest

domain { -9,1,3,8)

The range is the outputs

Range  = -2,1,2,8

We write them in the order from smallest to largest

range{ -2,1,2,8}

Answer:

10x -24 ft^2

Step-by-step explanation:

The area of the square is x^2

The area of the flower garden is lw

( x-4) ( x-6)

x^2 -6x-4x +24

x^2 -10x +24

Subtract the flower garden from the square to find the area of the patio

x^2 - ( x^2 -10x +24)

Distribute the minus sign

x^2 -x^2 +10x -24

10x -24

Answer:

c. 10x -24 sq. ft

Step-by-step explanation:

area of lot = x * x

area of garden = (x-4)(x-6) = x^2-10x+24

Area of patio

= area of lot - area of patio

= x^2 -(x^2-10x+24)

= 10x-24 sq.ft

Answer:

The square root of 2, or the (1/2)th power of 2, written in mathematics as √2 or 2​1⁄2, is the positive algebraic number that, when multiplied by itself, equals the number 2. Technically, it is called the principal square root of 2, to distinguish it from the negative number with the same property

Step-by-step explanation:

Answer:

Jim's claim is correct

Step-by-step explanation:

Total survey=100 people

Morning exercise=35 people

Afternoon exercise=45 people

Night exercise=20 people

Morning exercise : Total survey

=35 : 100

Afternoon exercise : Total survey

=45 : 100

Night exercise : Total survey

=20 : 100

Jim's claim is correct because in finding the ratio, one has to relate it with the total people involved in the survey.

Tara's claim however seems to relate one variable with two other variables

Example:

35 : 55

Morning exercise : (morning exercise + night exercise)

35 : (35+20)

35 : 55

Answer:

Sample Response: Jim is correct because 35:100, 45:100, and 20:100 are part-to-whole comparisons. There are other possible part-to-part ratios from the data.

Answer:

[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]

Step-by-step explanation:

Answer:

6450g

Step-by-step explanation:

1kg = 1000g

6.45kg = 6450

The watermelon weighs 6450 grams.

Given that a watermelon weighs 6.45 kilograms.

We need to convert its unit into grams.

To convert kilograms to grams, you need to multiply the weight in kilograms by 1000, as there are 1000 grams in 1 kilogram.

The watermelon weighs 6.45 kilograms, you can use the following formula to convert it to grams:

Weight in grams = Weight in kilograms × 1000

Let's do the math:

Weight in grams = 6.45 kilograms × 1000 = 6450 grams

So, the watermelon weighs 6450 grams.

Learn more about Unit conversion click;

https://brainly.com/question/28600662

#SPJ6

Answer:

The x-axis!

Step-by-step explanation: