Kim had three pints of water while he was at football practice. About how many quarts of water did kim drink?

The equations of the three altitudes of triangle ABC include the following:

A triangle can be defined as a two-dimensional geometric shape that comprises three (3) sides, three (3) vertices and three (3) angles only.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of a straight line can be calculated by using this formula;

\(Slope, m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope, m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}\)

Also, the point-slope form of a straight line is given by this equation:

y - y₁ = m(x - x₁)

Assuming the following parameters for triangle ABC:

For the equation of altitude AM, we have:

Slope of BC = (2 - 8)/(4 - 0)

Slope of BC = -6/4

Slope of BC = -3/2

Slope of AM = -1/slope of BC

Slope of AM = -1/(-3/2)

Slope of AM = 2/3.

The equation of altitude AM is given by:

y - y₁ = m(x - x₁)

y - 0 = 2/3(x - (-2))

3y = 2(x + 2)

3y = 2x + 4

3y - 2y - 4 = 0.

For the equation of altitude BN, we have:

Slope of CA = (2 - 0)/(4 - (-2))

Slope of CA = 2/6

Slope of CA = 1/3

Slope of BN = -1/slope of CA

Slope of BN = -1/(1/3)

Slope of BN = -3.

The equation of altitude BN is given by:

y - y₁ = m(x - x₁)

y - 8 = -3(x - 0)

y - 8 = -3x

y + 3x - 8 = 0.

For the equation of altitude CL, we have:

Slope of AB = (8 - 0)/(0 - (-2))

Slope of AB = 8/2

Slope of AB = 4

Slope of CL = -1/slope of AB

Slope of CL = -1/4

The equation of altitude CL is given by:

y - y₁ = m(x - x₁)

y - 2 = -1/4(x - 4)

4y - 2= -(x - 4)

4y - 2= -x + 4

4y + x - 2 - 4 = 0.

4y + x - 6 = 0.

In conclusion, we can infer and logically deduce that the equations of the three altitudes of triangle ABC include the following:

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Answer:

1 and a half inches long

Because that 3 divided by 2 is 1.5.

Answer:

t = 6.8 years

Step-by-step explanation:

The formula for compound interest is

\(A(t)=P(1+r/n)^n^t\), where P is the principal/amount invested, r is the interest rate, n is the number of compound periods per year (4 for quarterly), and t in the time in years.

We know that A = $5900, P = $4000, and r = 0.0575 (we must convert the percentage to a decimal).  We must solve for t and round to the nearest tenth:

\(5900=4000(1+0.0575/4)^(^4^t^)\\\\59/40=(1623/1600)^4^t\\\\log(59/40)=log(1623/1600^4^t)\\\\log(59/40)=4t*log(1623/1600)\\\\log(59/40)/log(1623/1600)=4t\\\\1/4(log(59/40)/log(1623/1600))=t\\\\6.80773607=t\\\\6.8=t\)

Answer:

C

Step-by-step explanation:

Answer:

Area of a rectangle=LxW

There's 2 rec's there

For the first

A= 1/3.s

For the second

L=12

W= 1/3

A = 1/3 . ( 12)

Total Area = 1/3.s + 1/3(12)

Now This can also be simplified by factorization

Total Area = 1/3(s+12)

We factored out 1/3 from both sides.

The question asked to select ALL THE EXPRESSION That represents the total area.

SO OPTION C and E

Answer:

False

Step-by-step explanation:

(3/4)(-4/3)=-3/2

Answer:

true

Step-by-step explanation:

your welcome

Answer:

Step-by-step explanation:

Since you have this categorized under college math, I'm going to go out on a limb here and assume you're in calculus. We will solve using the position function and its first derivative (velocity) to solve. Remember that at an object's max height, the velocity is 0.

If the position function is

\(s(t)=-16t^2+24t+7\) the first derivative, velocity, is

v(t) = -32t + 24. Set this equal to 0 to find the time when the object is at its max height:

0 = -32t + 24 and

-24 = -32t so

t = .75 seconds. Now we can plug that time into the position function to find where it is at that time. This "where" will be the max height:

s(.75) = \(-16(.75)^2+24(.75)+7\) so

s(.75) = 16 feet

Answer:

\(x=8.5\)

Step-by-step explanation:

By the definition of a midpoint, \(TU=UV\).

\(6=2x-11 \\ \\ 2x=17 \\ \\ x=8.5\)

Answer:

x = 16

Step-by-step explanation:

Opposite sides are equal in a parallelogram

AD = BC

5x - 12 = 3x + 20

5x - 3x = 20 + 12

2x = 32

x = 32/2

x = 16

Answer:

attached below

Step-by-step explanation:

Assuming that Y1 and Y2 are independent exponential random variable with mean 3

where : U = Y1 + Y2 applying the property of exponential distribution sum of exponentials will follow a gamma distribution

i.e. ∝ = 2 , and β = 1

note : U = 2X

Hence probability distribution function X =

Fx (x) = p( X ≤ x )

= p( U ≤ 2x )

= Fu (2x)

probability density function  X

f (x) = \(\frac{dF(2x)}{dx}\)  = 2 Fu (2x)

attached below is the remaining part of the solution

In this exercise we have to use probability knowledge to calculate the density of the function, so we have to:

\(f(u) \left \{ {{ue^u: u>0} \atop {0}} \right.\)

\(f(x) \left \{ {{4xe^{-2x}: x>0} \atop {0}} \right.\)

Assuming that \(Y_1\) and \(Y_2\) are independent exponential random variable where:

\(U = Y_1 + Y_2\)

Applying the property of exponential distribution sum of exponentials will follow a gamma distribution, we have:

Hence probability distribution function X , will be:

\(F_x (x) = p( X \leq x )\\= p( U \leq 2x )\\= F_u (2x)\)

So we can say that:  

\(f (x) = \frac{dF}{du} = 2 F_u (2x)\)

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The client is taking 200mg of guaifenesin each dose.

A proportion is direct when increase in one quantity results in increase of other quantity.

Direct proportion can be calculated by the following formula.

(new base × amount)/original base.

Assuming 1tbsp = 10ml

According to to the given question

The client is taking 1tbsp of guaifenesin every four hour.

In 5ml guaifenesin is 100 mg

∴ In 10ml the amount of guaifenesin is

= {(10 × 100)/5} mg of guaifenesin

= 200mg.

∴ The client is taking 200mg of guaifenesin each dose he is taking.

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Answer:

The third one.

Step-by-step explanation:

The first graph says each square is 10 lunches, but there are only 3 squares for the deli sandwich. That's 30 deli sandwiches in total but there were 300 in the table so the first one is wrong. In the second one, it says that 2 types of lunches were sold up to 300 times, but in the table, only 1 was. The last graph says that there were 300 pizzas sold, but the table said there were 650, so that one is wrong.

Process of elimination leaves you with the third graph as the correct answer.

Answer:

the answer has to be b

Step-by-step explanation:

Answer:

divisible by

1

2

3

4

6

9

12

18

36

Step-by-step explanation:

Answer:

Hi there!

The simplified version is:

18x-20

Step-by-step explanation:

2(4x-6) -8 +10x

First, multiply the 2 by the parentheses.

8x -12 -8 +10x

Next, combine like terms

18x -20

This is the simplified version!

Hope this helps

Answer:

A!

Step-by-step explanation:

All of the numbers line up in skip counting. (by 3)

Hope this helps! Mark me as brainliest if it does :)

The possible values for a third quiz score that would give her an average between 85 and 90, inclusive is: 97 ≤ x ≤ 112.

In Mathematics, the average of these quiz scores can be calculated by using the following formula:

Average = Sum of quiz score/Number of quiz scores

Note: Let the variable q represent the student's score on the third (3rd) quiz.

Substituting the given parameters into the formula, we have the following;

Average = (75 + 83 + q)/3

Average = (158 + q)/3

This ultimately implies that, an average between 85 and 90, inclusive is given by this compound inequality:

85 ≤ (158 + q)/3 ≤ 90

Multiplying all through by 3, we have the following:

255 ≤ (158 + q) ≤ 270

Subtracting 158 from both sides of the inequality, we have the following:

97 ≤ x ≤ 112

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The average rate of change over is 1.

Given that;

the function is,

⇒ g (t) = - (t - 1)² + 5

Hence, We need to determine the average rate of change over the interval - 4 ≤ t ≤ 5.

The value of G(-4):

The value of G(-4) can be determined by substituting t = -4 in the function

⇒ g (t) = - (t - 1)² + 5

Thus, we have,

⇒ g (t) = - (-4 - 1)² + 5

⇒ g (t) = - 20

Thus, the value of G(-4) = -20

The value of G(5):

The value of G(5) can be determined by substituting t = 5 in the function , we get,

⇒ g (t) = - (t - 1)² + 5

⇒ g (t) = - (5 - 1)² + 5

⇒ g (t) = - 11

Thus, the value of G(5) is, -11

Now, Average rate of change:

The average rate of change can be determined using the formula,

⇒ G(b) - G (a) / (b - a)

where, a = - 4 and b = 5

Substituting the values, we get,

⇒ G(5) - G (-4) / (5 - (-4))

⇒ ( - 11 - (- 20)) / 9

⇒ 9/9

⇒ 1

Thus, the average rate of change over the interval is. 1.

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Answer:

1. 25÷4w

2. w=6.25

3.I divided 25 by 4 to find w

Step-by-step explanation:

Answer: $2.25

Step-by-step explanation:

We are required to find the cost per kilometer of Emmanuel.

   The cost per kilometre is $2.25 OR $2 and 25cents.

According to the question, the total cost of the journey = $32

The total distance covered during the journey =

14 2/9 km

Therefore, the cost per kilometre can be evaluated mathematically as follows;

Cost per kilometer = cost of the journey ÷ Distance of the journey

= 32 ÷ 14 2/9

By converting 14 2/9 to an improper fraction; we have;

   = 32 ÷ 128 / 9

   = 32 × 9/128

   = (32×9) / 128

   = 288 / 128

   = 2 32/128

   = 2.25 dollar per kilometer

Therefore, the cost per kilometer is $2.25

Answer:

.60

Step-by-step explanation:

Answer:

0.60 60% = 0.60

Answer

the best answer is D

Answer:

3

Step-by-step explanation:

The answer is three because u need to simply the fractions

Answer:

1/9x

Step-by-step explanation:

The parenthesis around the 9x means that the -1 exponent goes to the whole thing (the 9x) To "fix" a negative exponent push the 9x across a fraction bar to make the exponent positive. When you push the 9x down across a fraction bar that leaves a 1 on top of the fraction, that has nothing to do with the 1 exponent. Its a 1 on top because when you push the 9x down there is nothing left on top so it is a 1.

(9x)^-1

= 1/9x

To be clear, this is a 1 one top and a 9x on the bottom of a fraction.

A graph of the cube root function g(x) = 1/2x³ is shown in the image below.

In Geometry, a dilation is a type of transformation which typically transforms the dimension (size) or side lengths of a geometric object, without affecting its shape.

This ultimately implies that, the dimension (size) or side lengths of the dilated geometric object would be stretched or shrunk depending on the scale factor that is applied.

When the parent cube root function f(x) = x³ is vertically shrunk by a scale factor of 1/2, the transformed function g(x) is given by;

g(x) = kf(x)

g(x) = 1/2f(x)

g(x) = 1/2x³.

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The value of the coin in 2019 would be approximately $132.

To calculate the value of the coin in 2019, we need to consider the annual increase rate of 16.9% from 2010 to 2019. We can use the compound interest formula to find the final value.

Starting with the initial value of $40 in 2010, we can calculate the value in 2019 as follows:

Value in 2019 = Initial value * (1 + Rate)^n

where Rate is the annual increase rate and n is the number of years between 2010 and 2019.

Plugging in the values:

Value in 2019 = $40 * (1 + 0.169)^9

Value in 2019 ≈ $40 * 2.996

Value in 2019 ≈ $119.84

Rounding the value to the nearest dollar, we get approximately $120. Therefore, the value of the coin in 2019 would be approximately $120.

However, please note that the exact value may vary depending on the specific compounding method and rounding conventions used.

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