1.
A ball is thrown into the air with an initial velocity of 22 meters per second.
The quadratic function h(t) = -4.9t2 + 22t + 5.5 represents the height of
the ball above the ground, in meters, with respect to time t, in seconds.
Part A: Determine h(3) and explain what it represents.

Answer:

440

Step-by-step explanation:

3 hundreds = 300

13 tens= 13 times 10=130

10 ones=10

300+ 130+ 10=

440

The number 440 as  per the statement 3 hundreds (300), 13 tens (130), and 10 ones = 10. Putting them together gives you 440.

Let's analyze the statement to find the number

3 hundreds, 13 tens, and 10 ones.

3 hundreds: This means you have three sets of one hundred. Each hundred is represented as 100. So, 3 hundreds would be

3 × 100 = 300.

13 tens: You have thirteen sets of ten. Each ten is represented as 10.

So, 13 tens would be 13 × 10 = 130.

10 ones: You have ten individual ones.

Now, let's add up all these components:

300 (for the hundreds) + 130 (for the tens) + 10 (for the ones) = 440

Therefore, the number describing in the statement is 440.

learn more about statement here

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Answer:

x^2+15

Step-by-step explanation:

The statement, The sum of a number squared and 15 is n² + 15.

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, The sum of a number squared and 15.

let the number be 'n'.

∴ The statement, The sum of a number squared and 15 can be formed numerically as,

n² + 15.

we can also convert numerical expressions into statements.

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The cost of the wings in dollars per wing would be $1.25.

To find this, all you need to do is divide the $15 by your amount of chicken wings, which is 12. 15/12 = 1.25.

Answer:

1.25

Step-by-step explanation:

each wings costs 1 $ and 25 cents

Answer:

22.43 units

Step-by-step explanation:

we know that

The perimeter of a polygon is the sum of its length sides

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

u(-2,4),v(3,4) and w(3,-4)

step 1

Find the distance uv

substitute the values

[tex]d=\sqrt{(4-4)^{2}+(3+2)^{2}}[/tex]

[tex]d=\sqrt{(0)^{2}+(5)^{2}}[/tex]

[tex]uv=5\ units[/tex]

step 2

Find the distance vw

substitute the values

[tex]d=\sqrt{(-4-4)^{2}+(3-3)^{2}}[/tex]

[tex]d=\sqrt{(-8)^{2}+(0)^{2}}[/tex]

[tex]vw=8\ units[/tex]

step 3

Find the distance uw

substitute the values

[tex]d=\sqrt{(-4-4)^{2}+(3+2)^{2}}[/tex]

[tex]d=\sqrt{(-8)^{2}+(5)^{2}}[/tex]

[tex]uw=\sqrt{89}=9.43\ units[/tex]

step 4

Find the perimeter

[tex]P=uv+vw+uw=5+8+9.43=22.43\ units[/tex]

Answer: The perimeter is about 22.43 units

Step-by-step explanation:

Answer:

Total cost =$33.47    Tip=$5.58

Step-by-step explanation:

$27.89÷5=5.578     5.578 rounded up to 2 digits=$5.58

$27.89+$5.58=$33.47

total cost is $33.47    tip=$5.58

Lucia should tip $5.58 for a 20% tip on her $27.89 pizza order. The total cost including the tip is $33.47.

To compute the tip Lucia should give for her pizza delivery, we need to calculate 20% of the total cost of the pizzas, which is $27.89. We first convert the percentage into decimal form by dividing 20 by 100, which gives us 0.20. Then we multiply this decimal by the total cost of the pizzas:

Tip =  0.20 imes $27.89 = $5.578

Since we usually round money to the nearest cent, the tip would be approximately $5.58. Now, to find the total cost including the tip, we add the tip to the original total:

Total Cost = Original Cost + Tip

Total Cost = $27.89 + $5.58 = $33.47

Therefore, the total amount Lucia would pay for the pizzas, including a 20% tip, is $33.47.

Answer:

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Step-by-step explanation:

Let

x -----> number of pages that Polina read

y ----> number of pages that Marcus read

we know that

x+y=108 ----> equation A

x=5y -----> equation B

substitute equation B in equation A and solve for y

[tex]5y+y=108\\6y=108\\y=18[/tex]

Find the value of x

[tex]x=5y -----> x=5(18)=90[/tex]

therefore

The number of pages that Polina read was 90 and the number of pages that Marcus read was 18

Answer:

i believe it is rise

Step-by-step explanation:

Answer:

i think it is the last one

Step-by-step explanation:

Check your answer if unsure

Answer:

1/4

Step-by-step explanation:

Answer:

The elephant is 864 meters tall

Step-by-step explanation:

this is because the zebra is 3 times as tall as the koala. so we do 72 times 3

we get 216. So the elephant is 4 times as tall as the zebra. so 216 times 4 is 864

its so late at night lol

If you have any questions feel free to ask in the comments.

Answer:

the ruler is marked in centimeters, but Zoe recorded data in ruler

Step-by-step explanation:

I just checked and I got it right

Answer: A. The ruler is marked in centimeters, but Zoe recorded data in inches.

Step-by-step explanation:  I got a 100% on this quiz

Final answer:

Geometry unit 1 lesson 1 typically covers basic understandings, vocabulary, and objectives related to geometry, such as points, lines, angles, and shapes.

Explanation:

In geometry, unit 1 lesson 1 typically covers basic understandings, vocabulary, and objectives related to geometry. Students learn about concepts such as points, lines, angles, and shapes. They also explore properties and relationships between geometric figures.

For example, students might learn that a point represents a specific location in space, a line is a straight path with no endpoints, and an angle is formed by two rays with a common endpoint.

By studying geometry, students develop spatial reasoning skills and learn to apply geometric principles in problem-solving situations.

Answer:

3 1/100

Step-by-step explanation:

To solve for F in the conversion formula, subtract 273.15, multiply by ([tex]\frac{5}{9}[/tex]), and add 32. The freezing point of water in Fahrenheit is 32 °F. Liquid nitrogen is colder than dry ice.

Solving the Temperature Conversion Formula

To solve the formula K = [tex]\frac{9}{5}[/tex][F-32] + 273.15 for F (Fahrenheit), we will isolate F in the equation. Here is the step-by-step process:

Subtract 273.15 from both sides: K - 273.15 = [tex]\frac{9}{5}[/tex][F - 32]

Multiply both sides by [tex]\frac{5}{9}[/tex] to get: F - 32 = (K - 273.15) × [tex]\frac{5}{9}[/tex]

Add 32 to both sides to solve for F: F = (K - 273.15) × [tex]\frac{5}{9}[/tex] + 32

Converting Kelvin to Fahrenheit

The freezing point of water is 273.15 Kelvin. To find this temperature in Fahrenheit:

F = (273.15 - 273.15) × [tex]\frac{5}{9}[/tex] + 32 = 32 °F

Comparing Temperatures

Dry ice has a temperature of -78°C, which is equivalent to -108.4°F. Liquid nitrogen boils at 77 K, which is about -196°C or -320.8°F. Therefore, liquid nitrogen is colder than dry ice.

Answer:

Yes it does

Step-by-step explanation:

Why because “r” it means rows there could 1- infinite rows so S=7r (7 it means that each row has 7 seats) so let’s say r=2 (remember that is the # of rows are) so S=7(2)+ 2 (we replace r=2 on X) so 7•2=14 S=14+2=16 soo there are S=16 like 16 seats in 2 rows hope this could help y you understand....

Answer:

all work is shown/pictured

Answer: y = -7+3x

Step-by-step explanation:

Steps to solve will be your BFF

Best Favor Forever

Answer:

  x=6

Step-by-step explanation:

-21+3x=-3

+21      +21

   3x=18

   /3   /3

   x = 6

Answer:

Step-by-step explanation:

Step one add 21 to each sides of the equal sign the you get

3x = 18

Divide by 3 on each side of the equal sign then your answer is

6

X = 6

Answer:

a) 35%

b) 19 minutes

Step-by-step explanation:

The graph for this question is attached in the image below.

Part a) Percent of calls that lasted 30 minutes or  more

As seen in the graph, the x-axis represent the duration of the call in minutes and y-axis represent the cumulative frequency of the calls.

From the graph we can see that the cumulative frequency against the point 30 minutes is about 65%. This means, 65% of the calls lasted for less than 30 minutes.

Since, out of 100%, 65% of the calls lasted for less than 30 minutes, the percentage of call that lasted for 30% or more would be:

100% - 65% = 35%

This means, 35% of calls lasted 30 minutes or  more.

Part b) The interquartile range (IQR) of the  distribution.

Interquartile range is defined as the difference of the 3rd Quartile and the 1st Quartile.

3rd Quartile is the point, below which 75% of the data values are present.

1st Quartile is the point, below which 25% of the data values are present.

So, from the cumulative frequency graph we have to look for the values on time axis against the cumulative frequency of 25% and 75%.

The amount of time against 25% cumulative frequency is approximately 13 minutes.

So, 1st Quartile = 13 minutes

The amount of time against 75% cumulative frequency is approximately 32 minutes.

So, 3rd Quartile = 32 minutes

Therefore,

IQR = 3rd Quartile - 1st Quartile

IQR = 32 - 13

IQR = 19 minutes

The interquartile range (IQR) of the  distribution is 19 minutes.

Answer:

A,B,E,AND F

Step-by-step explanation:

HOPE THIS HELPS

Answer: 9/11

Step-by-step explanation: (8,0) (-3, 9). Subtract x values, subtract y values. This is known as delta x and delta y. Slope is rise/run. When you subtract the two points, you are finding the different between them. You're able to plug these x values and y values into an equation and get the correct answer. If you substitute x in, you get y. If you substitute y in, you get x (if you simplify it to get x on one side). So, the change is y is on the top, and change in x is on the bottom. 9 is divided by 11. This is the slope. You can plot this point by rising 9 and running (x axis) 11.

Answer:

8.55 × [tex]10^{7}[/tex]

Step-by-step explanation:

Given

7.9 × [tex]10^{7}[/tex] + 6.5 × [tex]10^{6}[/tex] ( factor out [tex]10^{6}[/tex] )

= [tex]10^{6}[/tex]( 7.9 × [tex]10^{1}[/tex] + 6.5)

= [tex]10^{6}[/tex](79 + 6.5)

= [tex]10^{6}[/tex] × 85.5

= [tex]10^{6}[/tex] × 8.55 × [tex]10^{1}[/tex]

= 8.55 × [tex]10^{7}[/tex]

Answer:

Step-by-step explanation:

7(3,649)

=7(3,000+600+40+9)

=(7*3,000)+(7*600)+(7*40)+(7*9)

=21,000+4,200+280+63

=25,480+63

=25,543

Answer:

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

Step-by-step explanation:

we have

[tex]f(x)=x^{2}[/tex]

This is a vertical parabola open upward

The vertex is a minimum

The vertex is the origin (0,0)

[tex]g(x)=-5x^{2}+100x-450[/tex]

This is a vertical parabola open downward

The vertex is a maximum

The first thing to note is that fx) is a parabola that opens up and g(x) opens down, so a reflection across the x-axis must have been applied.

Find the vertex of g(x)

Convert to vertex form

[tex]g(x)=-5x^{2}+100x-450[/tex]

Complete the square

[tex]g(x)=-5(x^{2}-20x)-450[/tex]

[tex]g(x)=-5(x^{2}-20x+100)-450+500[/tex]

[tex]g(x)=-5(x^{2}-20x+100)+50[/tex]

[tex]g(x)=-5(x-10)^{2}+50[/tex]

The vertex is the point (10,50)

so

To translate the vertex of (0,0) to (10,50)

The rule of the translation is

(x,y) ------> (x+10,y+50)

That means ----> The translation is 10 units at right and 50 units up

therefore

The transformations are

The graph of f(x) is shifted up 50 units

The graph of f(x) is shifted right 10 units

The graph of f(x) is reflected over the x-axis

1. Set Y to 0, solve for x. Then X can be any number greater than the answer.

y = -1.5x +7.5

0 = -1.5x +7.5

Subtract 7.5 from both sides:

-7.5 = -1.5x

Divide both sides by -1.5

X = -7.5 / -1.5x = 5

X > 5

2. The equation is the same as the first one, but now they want Y to be less than 0, so the answer would be the reverse of the first answer:

X < 5

1. Set Y to 0, solve for x. Then X can be any number greater than the answer.

y = -1.5x +7.5

0 = -1.5x +7.5

Subtract 7.5 from both sides:

-7.5 = -1.5x

Divide both sides by -1.5

X = -7.5 / -1.5x = 5

X > 5

2. The equation is the same as the first one, but now they want Y to be less than 0, so the answer would be the reverse of the first answer:

X < 5

Answer:

x = 6

Step-by-step explanation:

Distribute the 4:

4x + 16 + 2x=52

Add similar variables (4x + 2x)

6x + 16 = 52

Move the 16 to the other side by subtracting 16 from both sides

6x = 36

Divide both sides by 6 to get rid of the 6 in front of the x

x = 6

Answer:

x=6

Step-by-step explanation:

4(x+4)+2x=52

distribute

4x+16+2x=52

combine like terms

6x+16=52

subtract 16 from both sides

6x=36

divide by 6

x=6

Answer:

(x - 1)(x² + x + 1)

Step-by-step explanation:

x³ - 1 is a difference of cubes and factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

here a = x and b = 1, thus

x³ - 1 = (x - 1)(x² + x + 1)

Answer:

Part A

 [tex]A_{t}=22(12+w)[/tex]

Applying Distributive property: [tex]A_{t}=264+22w[/tex]

Part B

[tex]A_{t}=660\ ft^2[/tex]

Step-by-step explanation:

Attached is the model that belongs to this exercise (The model was missing)

The formula for calculate the area of a rectangle is:

[tex]A=lw[/tex]

Where "l" is the lenght and "w" is the width.

Part A

Notice that the dimensions of the new bathroom are:

[tex]l=22\ ft\\w=12\ ft[/tex]

We do not know the width of the new bathroom, but we know that both rooms will have the same length. Knowing this, we can write an expression for the total area of both rooms by using the Distributive Property:

[tex]A_{t}=22(12+w)[/tex]

Applying Distributive property:

 [tex]A_{t}=264+22w[/tex]

Part B

If the width of the bedroom is 18 feet, you need to substitute this value into the expression [tex]A_{t}=264+22w[/tex] in order to find the total square footage of the two rooms:

[tex]A_{t}=264+22w\\\\A_{t}=660\ ft^2[/tex]

Final answer:

The expression for the total area of both rooms, using the distributive property, is L × (12 ft + W). Given the width of the bedroom as 18 feet, the total square footage of the addition is 660 square feet.

Explanation:

Calculating the Area of Rooms

Part A: To write an expression for the total area of both rooms using the distributive property, let's denote the width of the new bedroom as W and the common length of both rooms as L. Both rooms have the same length, 22 feet, so L = 22 feet. The total area can be represented as the sum of the areas of both the new bathroom and the new bedroom.

Area of New Bathroom = L × 12 ft (since the width of the bathroom is given as 12 ft)
Area of New Bedroom = L × W (width of the bedroom is W)
Total Area = Area of New Bathroom + Area of New Bedroom
Using distributive property: Total Area = L × (12 ft + W)

Part B: Given the width of the bedroom is 18 feet, we can calculate the total square footage:
Total Area = 22 ft × (12 ft + 18 ft)

Total Area = 22 ft × 30 ft
Total Area = 660 square feet

Therefore, the total square footage of the two rooms is 660 square feet.

Answer:

Sorry if this is wrong but I think they ran at the same pace

Step-by-step explanation:

So if it is 1/6 then you do 60 divided by 6 it is ten then 60 divided by 5 is 12 so 1/5 is 12 and 1/6 is ten add it it is 60 the subtract it by 12 five times it is zero sorry if wrong

Answer:

-12, -7, -4, -1, 0, 2, 5

Step-by-step explanation:

The larger a negative number the less value it actually has, whereas the larger a positive number the more value it has. You can think about it as if someone has taken something from you. If I take $12 from you you have less money than if I were to only take $7 from you. With positive numbers, you would have more money if I gave you 5 dollars than if I only gave you 2 dollars. You will always have more money if I give you money than if I were to take away money, that is why positive numbers are greater than negative numbers.

Hey!

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

[tex]\large\boxed{-12, -7, -4, -1, 0, 2, 5}[/tex]

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

Explanation:

The larger the negative number the smaller it is.

-12 < -7

-7 < -4

-4 < -1

The larger the whole number the greater it is.

0 < 2

2 < 5

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

Hope This Helped! Good Luck!

Answer:

any idea about the length of the box

It appears to show a line segment with endpoints (1,4) and (7,0).

Without any additional information about the context of the graph, it is impossible to determine a definitive solution. However, I can offer some general observations about the line segment.

    [tex][ \text{Slope} = \frac{{y_2 - y_1}}{{x_2 - x_1}} ]Let’s calculate the slope using the given values\\ \\\text{Slope} = \frac{{7 - 1}}{{0 - 4}} = \frac{{6}}{{-4}} = -\frac{{3}}{{2}}[/tex]