gary kicks a field goal with an inital veritcal velocity of 38m/s how long will it take the football to hit the ground

Answer:

infinite solutions

Step-by-step explanation:

6x + 18 = 2(3x + 9)

1. 6x + 18 = 6x + 18                      Distribute the 2

2. X can be any number since they are the same.

Answer:

The function in the fourth option will have an axis of symmetry at x = 3.

Step-by-step explanation:

We have to choose the function from options, the graph of which has an axis of symmetry at x = 3.

The function in the fourth option will have an axis of symmetry at x = 3.

It is f(x) = x2 – 6x – 1 On a coordinate plane, a parabola opens up. It goes through (0, negative 1), has a vertex at (3, negative 10), and goes through (6, 0). (Answer)

Answer:

D

Step-by-step explanation:

Answer:

The answer is 28.27

The area of the triangle is (5/12)x²

Step-by-step explanation:

Substitute b=(5/6)x and h=x

Area = 1/2[tex]\times[/tex](5/6)x(x)

Area of triangle = (5/12)x²

Therefore the inequality is x≤11

and maximum I can withdraw 11 bills.

Step-by-step explanation:

Given ,

Current balance $320

Minimum balance $100

I could spent =$(320-100) = $220

Let the number of bills be x.

Total amount of x bills = $20x

According to the problem,

20x≤ 220

⇔x ≤ [tex]\frac{220}{20}[/tex]

⇔x≤11

Therefore the inequality is x≤11

and maximum I can withdraw 11 bills.

Answer:

-3

Step-by-step explanation:

to find the scale factor dividex^1 by x (so old shape to new shape)

When there's no number in front of a variable, that means it has a coefficient of 1.

So the coefficient is 1. Hope that makes sense.

The coefficient of the c-term of the algebraic expression 14a - 72r - c - 34d is -1.

It is defined as the combination of constants and variables with mathematical operators.

We have an algebraic expression:

= 14a - 72r - c - 34d

From the above equation, the coefficient of the c term is:

= -1

Thus, the coefficient of the c-term of the algebraic expression 14a - 72r - c - 34d is -1.

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Answer:

x = -3

y = 7

Step-by-step explanation:

Answer:

$929.60

Step-by-step explanation:

step 1

Find the area of Lauren's bedroom

Remember that the area of a rectangle is equal to

[tex]A=LW[/tex]

so

[tex]A=(18)(12)=216\ ft^2[/tex]

step 2

Find the area of closet

Remember that the area of a rectangle is equal to

[tex]A=LW[/tex]

so

[tex]A=(2)(4)=8\ ft^2[/tex]

step 3

Find the total area

Adds the areas

[tex]216+8=224\ ft^2[/tex]

step 4

Find the cost

Multiply the total area by the cost per square feet

so

[tex]224(4.15)=\$929.60[/tex]

Final answer:

The cost to carpet Lauren's bedroom including her closet is found by calculating the total area and then multiplying by the carpet's cost per square foot. The total area is 224 square feet and with a carpet cost of $4.15 per square foot, the total cost is $930.40.

Explanation:

To calculate the cost to carpet Lauren's room and closet, we must first determine the total area that needs to be carpeted. We already know that the room measures 18 feet by 12 feet. Taking the square footage of the room, we perform a multiplication: 18 ft  imes 12 ft = 216 square feet.

Next, we calculate the area of the closet separately, which measures 2 feet by 4 feet. The calculation would be 2 ft  imes 4 ft = 8 square feet. Now, we add the area of the room and the closet to get the combined area: 216 sq ft + 8 sq ft = 224 square feet.

Lastly, we find the cost to carpet this combined area. The carpet costs $4.15 per square foot, therefore, we multiply the total area by the cost per square foot: 224 sq ft  imes $4.15/sq ft = $930.40. So, the total cost to carpet Lauren's room and closet will be $930.40.

Answer:

Weekly allowance $4

Step-by-step explanation:

Fred ended with $11. So, subtract $9 from washing the car.

$11 - $9 = $2

$2 Is the amount of weekly allowance Fred hasn't spent yet. However, at the beginning of the week, Fred used half his allowance. This means $2 was what was left. So,

$2 × 2 = $4

meaning Fred had $4 in allowance at the beginning of the week.

Answer: 42%

Step-by-step explanation:

Add 0.16 and 0.26, you get 0.42. Covert 0.42 into percentage and you get 42%

The original price is $450.

Step-by-step explanation:

Step 1:

Given details, Discount%, D% = 30 and Selling Price, SP = $315

Step 2:

Write down formula for calculating the Original Price

Selling Price (SP) = Original Price (OP) - Discount (D)

Discount (D) = Original Price (OP) * (D%/100)

Step 3:

Substitute given values in the formula

315 = OP - D

D = [tex]OP \times30/100[/tex]

D = 0.3 OP

Step 4:

Substitute value of D in the first formula

315 = OP - 0.3 OP

315 = OP (1 - 0.3) = 0.7 OP

Original Price, OP = 315/0.7 = $450

Answer:

625

Step-by-step explanation:

We have to find 125% of 500

 = [tex]\frac{125}{100} * 500 = 1 .25 * 500[/tex]  = 625 .

Here the solution (625) is greater than the original (500) because the percentage value is more than 100% . so the answer will come more than its original value.

Answer:

6

Step-by-step explanation:

5 1/2

(5×2+1)/2

11/2

5.5

6 ( nearest whole number)

Final answer:

To determine the number of charms for the bracelet to cost the same at both jewelry shops, we set up a system of equations and solved it using substitution. We found that Hana will need to add 2 charms, resulting in a total cost of $96 for the bracelet at either shop.

Explanation:

To determine the number of charms Hana can add to her bracelet such that the cost is the same at Dayton Fine Jewelry and Cain Jewelers, we need to set up a system of equations and solve using the substitution method.

System of Equations:

Let x represent the number of charms and y represent the total cost of the bracelet with charms.

Equation for Dayton Fine Jewelry: y = 17x + 62

Equation for Cain Jewelers: y = 18x + 60

Solution Using Substitution:

Hana will need to add 2 charms to her bracelet, and the total cost of the bracelet will be $96 at either jewelry shop.

Answer:-12+6y

Step-by-step explanation:

Since the 12 is a negative and the 6y is a positive you can switch it around.

The expression 6y - 12 is equivalent to 6(y - 2). This can be verified by expanding the factored form, which results in the original expression.

This expression  can be factored to find an equivalent expression. Factoring out the greatest common factor (GCF) from both terms, we get:

Thus, the expression 6y - 12 is equivalent to 6(y - 2).

Answer:

7.25

Explanation:

14.5×½=7.25

Answer:

9/2

Step-by-step explanation:

Slope of line=rise/run=

y2-y1/x2-x1

Where

x1=2

x2=0

y1=5

y2= -4

Slope =(-4-5)/(0-2)

Slope=-9/-2

Slope=9/2

Answer:

look at the picture shown

Answer:

In mathematics, compatible numbers are the numbers that are easy to add, subtract, multiply, or divide mentally...For instance, if we have to add 493 and 549, we can make the numbers compatible by rounding them up to the nearest tens or hundreds.

SO YES! :)

Answer:

We are given the table as:

x    f(x)

0     6

2      7

4      0

7      5

i.e. corresponding to different values of x we are given the values of f(x)

we have to find the value of f(0)

i.e. we have to find the value of f(x) when x=0

As we can see from the table the value of f(x) at x=0 is 6

Hence, Correct option is:

C) 6

Have a Great day!

Answer:

c

Step-by-step explanation:

Answer:

it is D. $9.50

Step-by-step explanation:

Answer: The answer is (D) $9.50/9.50 dollars

The expression 3(4x+7)−4(12x−15) simplifies to -36x + 81. First distribute the constants to the terms inside the parentheses, then combine like terms.

In mathematics, to simplify an algebraic expression like 3(4x+7)−4(12x−15), you need to perform the operations in a certain order, respecting the laws of arithmetic. This is often referred to as simplifying the expression using the distributive property.

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Answer: The other answer is wrong. The answer would be about 50 miles per hour or 49.99 mph.

Step-by-step explanation:

The required approximate speed of the car when the skid mark is 10204 feet long is 49.99 miles per hour.

Given that,
The function S(D) =(7/2) √2D can be used to approximate the speed S, in miles per hour, of a car that has left skid marks of length D, in feet, how fast would a car have been traveling if it left a skid mark that is 102.04 feet long is to be determined.

Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
Given the function of speed,
S(D) =(7/2) √(2D)
Substitute the value of D = 102.04
S(102.04) = (7/2)√(2*102.04)
S(102.04) = 49.99

Thus, the required approximate speed of the car when the skid mark is 10204 feet long is 49.99 miles per hour.

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Question

During one waiters shift he delivered 13 appetizers, 17 entrées, and 10 desserts what percentage of the dishes he delivered were: A. Desserts B. Appetizers  C. entrees

Answer:

A)Desserts = 25 %

B)Appetizers = 32.5 %

C)Entrées =  32.5 %

Step-by-step explanation:

Given:

Number of appetisers = 13

Number of entrees =   17

Number of  desserts = 10

Solution:

Total number  of dishes = 13 + 17 + 10 = 40

percentage of the dishes he delivered were Desserts is   =  [tex]\frac{10}{40} \times 100 = 0.25 \times 100 = 25%[/tex]

percentage of the dishes he delivered were Appetizers is  =[tex]\frac{13}{40}\times 100 = 0.325 \times 100[/tex]  = 32.5%

percentage of the dishes he delivered were Entrées is = [tex]\frac{17}{40} \times 100 = 0.425 \times 100[/tex]=  42.5 %

To find the percentage of each type of dish a waiter has delivered, add up the total number of dishes, then divide the number of each type of dish by this total and multiply by 100.

The subject question requires us to determine what the percentage is of the various types of dishes a waiter delivers during his shift. We're given that the waiter delivered 13 appetizers, 17 entrees, and 10 desserts. We can solve this by doing some basic calculations:

First, we need to figure out the total number of dishes the waiter delivered. We do this by adding together the appetizers, entrees, and desserts he delivered: 13 appetizers + 17 entrees + 10 desserts = 40 dishes in total.

Next, to find the percentage of each type of dish, we divide the number of that type of dish by the total number of dishes, and then multiply the result by 100. For example, for appetizers: (13 appetizers / 40 total dishes) * 100 = 32.5%.

You can do the same calculations for entrees and desserts to find their percentages. These basic calculations are useful not only in a restaurant setting, but also in allocation of tasks in modern businesses and in many other real-world scenarios.

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Answer:

$28

Step-by-step explanation:

Since each person got $14 and we know that there are 2 people receiving money, the total amount of money is equal to the amount of money John received, added to the amount of money his best friend got. Since both received $14, we can use the following equation:

Money found = $14 + $14 = $28

y

=

−

(

x

−

2

)

2

+

16

is the vertex form

Explanation:

The vertex form of a quadratic function is given by

y

=

a

(

x

−

h

)

2

+

k

where (h, k) is the vertex of the parabola.

when written in vertex form

(h, k) is the vertex of the parabola and x = h is the axis of symmetry

the h represents a horizontal shift (how far left, or right the graph has shifted from x = 0)

the k represents a vertical shift (how far up, or down the graph has shifted from y = 0)

Now let convert this  

y

=

−

x

2

+

4

x

+

12

into vertex form

y

=

−

x

2

+

4

x

+

12

y

−

12

=

−

x

2

+

4

x

y

−

12

=

−

(

x

2

−

4

x

)

y

−

12

=

−

(

x

2

−

4

x

+

4

−

4

)

y

−

12

=

−

(

x

2

−

4

x

+

4

)

+

4

y

−

16

=

−

(

x

2

−

4

x

+

4

)

y

−

16

=

−

(

x

−

2

)

2

y

=

−

(

x

−

2

)

2

+

16

is the vertex form

show the vertex in the figure below

graph{-x^2+4x+12 [-10.06, 15.25, 6.58, 19.25]}   Hope iam right

The function f(x) = x² - 4x - 12 in vertex form is f(x) = (x - 2)² - 16, and the axis of symmetry is x = 2.

To rewrite the function f(x) = x² - 4x - 12 in vertex form and find the axis of symmetry, we need to complete the square. The general vertex form of a quadratic is f(x) = a(x - h)² + k, where (h, k) is the vertex, and the line x = h is the axis of symmetry.

The first step is to factor the coefficient of x², which is 1 in this case, so we can leave it as is. The next step is to rearrange the equation as x² - 4x and then add and subtract the square of half the coefficient of x, which is (4/2)² = 4. Adding and subtracting 4 inside the parentheses gives us:

f(x) = (x² - 4x + 4) - 4 - 12

Now we can rewrite this as:

f(x) = (x - 2)² - 16

This equation is in vertex form, with the vertex at (2, -16), and the axis of symmetry is the line x = 2.

Therefore, the correct option is f(x) = (x - 2)² - 16, with the axis of symmetry being x = 2.

Answer:

127.39 square units

Step-by-step explanation:

We are given;

We are supposed to determine its area;

Circumference = πD or 2πr , where D is the diameter and r is the radius

Thus;

40 = 2πr

πr = 20

 r = 20/π

Area of a circle is given by;

A = πr²

but, r = 20/π

Hence;

Area = π × (20/π)²

        = π × 400/π²

         = 400/π

Taking π to be 3.14

   Area = 400 ÷ 3.14

            = 127.39 square units

Thus, the area of the circle is 127.39 square units

Answer:

There will be 13 songs in the final album.

Step-by-step explanation:

i) number of songs expected = 16 songs

ii) the band wrrites 62.5% more

   therefore the band writes [tex]16 \times ( 1 + 0.625) = 16 \times 1.625 = 26[/tex] songs

iii) During the editing process 50% of the songs are removed.

   Therefore there will be in the final album = [tex]( 1 - 0.5) \times 26 = 0.5 \times 26 = 13[/tex] songs.