30 Points! A soccer ball hit from the ground into the air and is modeled by the function
h(t)=-16t^2+48t+2 (see attachment)

An equation of a line can be written by using the standard form of the equation of line y = mx + b,

What is the equation of a line?

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis.

An equation of a line can be written in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To find the equation of a line that is perpendicular to another line, you will need to find the negative reciprocal of the slope of the original line.

For example, suppose you have a line with the equation y = 3x + 2.

The slope of this line is 3, so the slope of a line that is perpendicular to it would be the negative reciprocal of 3, which is -1/3.

The equation of the perpendicular line would be y = -1/3x + b, where b is the y-intercept.

To find the y-intercept of the perpendicular line, you can plug in the coordinates of a point on the original line into the equation of the perpendicular line.

For example, if you know that the original line passes through the point (4, 14), you can substitute these values into the equation y = -1/3x + b to find the value of b.

This gives you the equation -1/3x + b = 14, so b = 14 + 1/3x.

Substituting x = 4 gives you b = 14 + 1/3(4) = 14 + 4/3 = 18/3, so the equation of the perpendicular line is y = -1/3x + 18/3.

Hence, An equation of a line can be written by using the standard form of the equation of line y = mx + b,

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The volume of the cone is approximately 37.7 cubic units

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder, or a sphere. Different shapes have different volumes.

To find the volume of a cone, we use the formula:

V = (1/3) * π * r² * h

where π is the constant pi, r is the radius of the base of the cone, and h is the height of the cone.

Plugging in the given values, we get:

V = (1/3) * 3.14 * 3² * 4 ≈ 37.7

Therefore, the volume of the cone is approximately 37.7 cubic units (rounded to the nearest tenth).

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Answer:

c = 16g

Step-by-step explanation:

g = 1/16 c

Multiply both sides by 16.

16g = c

c = 16g

Answer:

m=-2

Step-by-step explanation:

8-(m-3)=7-3m

8-1(m)-1(-3)=7-3m

8-m+3=7-3m

-m+3m+8+3=7-3m+3m

2m+8+3=7

2m+11=7

2m=-4

m=-2

Hope this helps!

Step-by-step explanation:

So, this is how you do it.

1. (-1,2)

2.(0,10)

3.(1,50)

4.(2,250)

Step-by-step explanation:

Brainliest?

Step-by-step explanation:

I dont know man but I love the profile picture its from that brand new anime called "Wonder Egg priority" right?

A cup has a capacity of 320ml. It takes 58 cups to fill a bucket and 298 buckets to fill a tank. To find the capacity of the tank in liters, As there are 1000 milliliters in 1 liter, we can convert milliliters to liters by dividing the number of milliliters by 1000.

Calculation:

1 liter = 1000 milliliters.

So, the capacity of a cup in liters is320/1000 liters

= 0.32 liters

The capacity of a bucket is 58 × 0.32 liters

= 18.56 liters

The capacity of a tank is 298 × 18.56 liters

= 5524.88 liters

Therefore, the capacity of the tank in liters is 5524.88 liters (rounded off to two decimal places).

Hence, the required answer is 5524.88 liters.

Note: As there are 1000 milliliters in 1 liter, we can convert milliliters to liters by dividing the number of milliliters by 1000.

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We can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

Sine formula is used to calculate the sine angle of a right-angled triangle which is the ratio of the opposite side and the hypotenuse.

Given is that a 40-ft-wide house has a roof with a 6-12 pitch (the roof

rises 6 ft for a run of 12 ft). The owner plans a 14-ft-wide addition that will

have a 3-12 pitch to its roof.

We can write the measure of length AB as -

AB = 6 + √(9 + 296)

AB = 6 + 17.46

AB = 23.46 ft

We can write the measure of length BC as -

BC = 6 + 1/4 x 12

BC = 6 + 3

BC = 9 ft

Therefore, we can conclude that the measure of length AB is 23.46 ft and the measure of length BC is 9 ft.

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The standard deviation of the terms in set n cannot be determined based on the given information.

The standard deviation measures the dispersion or variability of a set of values. In order to calculate the standard deviation of the terms in set n, we need more specific information about the values in the set.

Statement (1) tells us that every prime number in a specific range appears exactly once in set n. While this provides information about the uniqueness of the prime numbers in the set, it doesn't give any indication of the other non-prime numbers or their distribution. Without additional details, we cannot determine the standard deviation.

Statement (2) informs us that all terms in set n range between 20 and 50. While this gives us a limited range for the values, it doesn't provide any information about their distribution or relationship to each other. Again, without further details about the specific values and their distribution, we cannot calculate the standard deviation.

In conclusion, the standard deviation of the terms in set n cannot be determined solely based on the given information in both statements.

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Answer:

y = 4

Step-by-step explanation:

2x = y+ 8

x + 2y = 14

x = 14 - 2y

2 * (14 - 2y) = y + 8

28 - 4y = y + 8

y + 4y = 28 - 8

5y = 20

y = 4

x = 14 - 2*4 = 6

Answer:

y=4

Step-by-step explanation:

I took the test.

Answer:

3x - 6

Step-by-step explanation:

Let's call the number of coins Karen has "x".

According to the information given, Bill has 6 coins fewer than two times the number of coins Karen has, so we can write the following expression for the number of coins Bill has:

Bill: 2x - 6

To find the total number of coins Karen and Bill have, we simply add the number of coins each person has:

Karen + Bill: x + (2x - 6) = 3x - 6

So the total number of coins Karen and Bill have is 3x - 6.

Answer:  the total amount of coins Bill and Karen have can be found with the following equation: 3x-6

Step-by-step explanation:

Karen has x coins

Bill's coins are twice the x, so 2x, and he has 6 fewer than that.

The equation becomes x+2x-6 which can be simplified to 3x-6.

Answer:

$5

Step-by-step explanation:

.5 x 10 = 5

Answer:

Bond

Step-by-step explanation:

A promissory note or a promise to repay a certain amount of money at some point in the future is basically a bond.

A bond is a debt security that represents a loan made by an investor to a borrower, which is usually a corporation or government agency. It is a fixed-income investment, meaning that the borrower promises to pay a specific amount of interest over a set period of time and return the principal amount of the loan on the date of maturity. Bonds are issued for various purposes, such as raising capital, funding new projects, or refinancing debt.

CD (Certificate of Deposit) is a savings instrument issued by a bank or credit union that generally pays a fixed rate of interest over a set term. Mutual fund is an investment vehicle that pools money from multiple investors to purchase a portfolio of securities, such as stocks, bonds, or both. Stock is an ownership share in a company that represents a claim on part of the company's assets and earnings.

The value of x in the given triangle is 10.

Thales Theorem States that,

If a line is drawn parallel to one side of a triangle intersecting the other two sides in distinct points, then the other two sides are divided in the same ratio.

Given is triangle, a line parallel to its base is cutting the other two sides, we need to find the value of x,

So, by Thales Theorem :-

x+5 / x = 6 / 4

x+5 / x = 3 / 2

2x + 10 = 3x

x = 10

Hence, the value of x in the given triangle is 10.

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Answer:

180+216= 396cm²

please mark brainliest♡♡

Step-by-step explanation:

First separate the shape into two rectangular

27 - 9= 18

18×10= 180cm²

9×24= 216c m²

Answer:

396 cm²

Step-by-step explanation:

Area = 10 x (27 - 9) + 24 x 9

= 10 x 18 + 24 x 9

= 20 x 9 + 24 x 9

= 44 x 9

= 396 cm²

Answer:

$1.04

Step-by-step explanation:

8% of 13 is  1.04

Answer:

$14.04

Step-by-step explanation:

Could you mark me brainliest?

Answer: 18 cents or $0.18

Step-by-step explanation: you divide 2.20/12

Answer:

simple do $2.20 divide by 12 and you will get your answer

Step-by-step explanation:

$.10

x \(\geq\) 433

explanation:

let m equal miles

0.30m + 69.99 = 200

           -69.99     -69.99

0.30m = 130. 01

130.01 / 0.30 = 433. 36...

but we're gonna round it to 433

so 433 miles

The percent increase in players from last year to this year = 20%

We know that the formula for the percentage change a quantity is :

(P) = [Final value - Initial value] / Initial value x 100

Here, a baseball team had 80 players show up for tryouts last year and this year 96 show up for tryouts.

initial number of players = 80

current number of players = 96

So, using above formula the percent increase in players is:

P = [(96 - 80) / (80)] x 100

P = (16 / 80) x 100

P = 0.20 x 100

P = 20%

Therefore, the percentage of increase in players =  20%.

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Answer:

\(x^{2} +6x+5\)

Step-by-step explanation:

A=lw

A=(x+5)(x+1)

A= \(x^{2} +6x+5\)

The probability that the bit will fail before 10 hours of usage is:

P(X < 10) = F(10) = 1 - e^(-(10/50)^2) ≈ 0.3935

The Weibull distribution is given by the probability density function:

f(x) = (a/B) * (x/B)^(a-1) * e^(-(x/B)^a)

where a and B are the shape and scale parameters, respectively.

In this case, a = 2 and B = 50. We want to find the probability that the bit will fail before 10 hours of usage, i.e., P(X < 10), where X is the random variable representing the length of life of the drill bit.

Using the cumulative distribution function (CDF) of the Weibull distribution, we have:

F(x) = 1 - e^(-(x/B)^a)

Substituting the values of a and B, we get:

F(x) = 1 - e^(-(x/50)^2)

So the answer is approximately 0.4.

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The domain is {x∈R| x≠−2}

The range is {y∈R| y≠−5}

====================================================

Explanation:

Using the function, we can factor the numerator to get

x^2-x-6 = (x-3)(x+2)

Then the (x+2) terms cancel out leaving x-3 only

Therefore, f(x) simplifies to f(x) = x-3.

This produces the straight line graph that is shown. But there's a hole at (-2,-5)

Why is this? It's because plugging x = -2 into the original equation (before you simplify) leads to a division by zero error.

The denominator x+2 becomes -2+2 = 0 and we can't divide by zero.

If we plugged x = -2 into the simplified version of f(x), then we have

f(x) = x-3

f(-2) = -2-3

f(-2) = -5

Showing why the hole is at (-2,-5)

There is no way that x can equal -2, so this is why we kick it out of the domain. Similarly, there's no way to get to y = -5, and this value is kicked out of the range.

The notation x∈R means that x is in the real number set. Saying  {x∈R| x≠−2} means x is any real number but -2. The range is a similar story but we kick out -5 instead.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

Arisa

3 dogs-15 mins

4 dogs-20 mins

Sofia

3 dogs-12 minutes

4 dogs-16 mins

Answer: Z'(-7;8)

suppose the coordinates of Z' is Z'(x,y)

we have:

\(\left \{ {{x=8.cos90-7.sin90=-7} \atop {y=8.sin90+7.cos90=8}} \right.\)

=> Z'(-7;8)

Step-by-step explanation:

The interest earned increases with higher principal amounts, higher interest rates, and longer time periods.

Principal (P) | Interest Rate (r) | Time Period (t) | Interest Earned (I)

$1,000 | 2% | 1 year | $20

$5,000 | 4% | 2 years | $400

$10,000 | 3.5% | 3 years | $1,050

$2,500 | 1.5% | 6 months | $18.75

$7,000 | 2.25% | 1.5 years | $236.25

To calculate the interest earned (I), we can use the simple interest formula: I = P * r * t.

For the first row, with a principal of $1,000, an interest rate of 2%, and a time period of 1 year, the interest earned is calculated as follows: I = $1,000 * 0.02 * 1 = $20.

For the second row, with a principal of $5,000, an interest rate of 4%, and a time period of 2 years, the interest earned is calculated as follows: I = $5,000 * 0.04 * 2 = $400.

For the third row, with a principal of $10,000, an interest rate of 3.5%, and a time period of 3 years, the interest earned is calculated as follows: I = $10,000 * 0.035 * 3 = $1,050.

For the fourth row, with a principal of $2,500, an interest rate of 1.5%, and a time period of 6 months (0.5 years), the interest earned is calculated as follows: I = $2,500 * 0.015 * 0.5 = $18.75.

For the fifth row, with a principal of $7,000, an interest rate of 2.25%, and a time period of 1.5 years, the interest earned is calculated as follows: I = $7,000 * 0.0225 * 1.5 = $236.25.

These calculations show the interest earned for different savings principals, interest rates, and time periods.

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If Tamara hiked a total of 340 minutes and her goal is to hike for at least 350 minutes every week, it means she fell short by 10 minutes.

Since it takes her the same amount of time to hike each mile, we can calculate the time it takes her to hike each mile.

On Thursday, she hiked a total of 1 + 3 + 4 = 8 miles. On Saturday and Sunday, she hiked a total of 5 + 4 = 9 miles. So in total, she hiked 8 + 9 = 17 miles.

To find the time it takes her to hike each mile, we divide the total time she hiked (340 minutes) by the total distance she covered (17 miles). Therefore, it takes her 340/17 = 20 minutes to hike each mile.

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Answer:

5 yards

Step-by-step explanation:

7y+3y=10yards

15yards-10yards=5yards