James and Eric each mix 6 pitchers of lemonade. James makes 26 fluid ounces of lemonade per pitcher, and Eric makes 32 fluid ounces of lemonade per pitcher. They combine their lemonade and pour all of it into glasses. They fill as many glasses as possible with 8 fluid ounces each. They pour the remaining lemonade into the last glass.
How many full glasses do they pour, and how much lemonade will be in the last glass?
Enter your answers in the boxes. "blank" is where the answers need to be filed in
They pour *blank* full glasses. There will be *blank* fluid ounces in the last glass.

Let's assume that the first even integer is x. According to the given information, the next consecutive even integer would be x+2.

The difference of the squares of these two consecutive even integers is given as 36. We can set up the equation:

(x+2)^2 - x^2 = 36

Expanding the equation, we have:

x^2 + 4x + 4 - x^2 = 36

Simplifying further, the x^2 terms cancel out:

4x + 4 = 36

Next, we isolate the term with x by subtracting 4 from both sides:

4x = 36 - 4

4x = 32

Now, we divide both sides by 4 to solve for x:

x = 32/4

x = 8

So, the first even integer is 8. To find the next consecutive even integer, we add 2:

8 + 2 = 10

Therefore, the two consecutive even integers that satisfy the given condition are 8 and 10.

To verify our solution, we can calculate the difference of their squares:

(10^2) - (8^2) = 100 - 64 = 36

Indeed, the difference is 36, confirming that our answer is correct.

For such more question on integer

https://brainly.com/question/929808

#SPJ8

In the given scenario, the average current produced within the loop is approximately 2.13 A.

We can begin by computing the change in magnetic flux across the loop as it expands to determine the average current generated within the loop.

The following equation provides the magnetic flux across a loop:

Φ = B * A * cos(θ)

ΔΦ = B * ΔA

ΔA = A₂ - A₁ = π * (1.00 m)² - π * (0.40 m)² = π * (1.00² - 0.40²) = π * (1.00 + 0.40)(1.00 - 0.40) = π * (1.40)(0.60) = 0.84π m²

So,

ΔΦ = B * ΔA = (24 mT) * (0.84π m²) = 20.25π m²·T

emf = ΔΦ / Δt = (20.25π m²·T) / (1.0 s) = 20.25π V

As:

emf = I * R

So, again

I = emf / R = (20.25π V) / (30 Ω) ≈ 2.13 A

Thus, the average current produced within the loop is approximately 2.13 A.

For more details regarding average current, visit:

https://brainly.com/question/30049059

#SPJ12

Answer:

No

Step-by-step explanation:

Does anyone have to do DELTA-MATH

Answer: Can you send the question that you have.

Step-by-step explanation:

Answer:

f) 60+x+30=180°

90+x=180°

x=180-90

x=90°

g) y+35+75=180°

y+110=180

y=180-110

y=70°

Answer:

C = 94

Step-by-step explanation:

Say the centre point is Y, then the triangle BCY is an isosceles, therefore angle BCY = angle CBY

So the base points of that triangle are both 47, to find the angle of BYC, you just do:

180 - 47 - 47 = 86

and then since x is on a line with 86, and angles on a straight line add up to 180:

180 - 86 = 94

answer is 94 degrees

Answer:

94

Step-by-step explanation:

Answer:

Step-by-step explanation:

\(\dfrac{3}{6}=\dfrac{9}{18}=\dfrac{27}{54}\)

\(\dfrac{3*3}{6*3}=\dfrac{9}{18}\\\\\\\dfrac{3*9}{6*9}=\dfrac{27}{54}\)

The correct the equation for this wave traveling to the right, if its amplitude is 0.020 cm is D(x, t) = 0.020 cos(9.69x – 3340t) cm. The correct answer is C.

We know that the equation for a longitudinal wave traveling to the right is given by:

D(x,t) = Dmax cos(kx - wt)

where:

Dmax = amplitude of the wave

k = wave number = 2π/λ

λ = wavelength

w = angular frequency = 2πf = 2π/T

f = frequency

T = period

x = position

t = time

We are given the following information:

f = 532 Hz

v = 345 m/s

Dmax = 0.020 cm

D = -0.020 cm at t = 0 and x = 0

We can calculate the wavelength and wave number as follows:

v = λf

λ = v/f = 345/532 = 0.6485 m

k = 2π/λ = 9.69 m^-1

We can also calculate the angular frequency as follows:

w = 2πf = 2π(532) = 3344.5 rad/s

The equation for the wave is therefore:

D(x,t) = 0.020 cos(9.69x - 3344.5t)

At t = 0 and x = 0, we have:

D(0,0) = 0.020 cos(0) = 0.020 cm

This does not match the given value of D, so we need to add a phase shift to the equation to account for this:

D(x,t) = 0.020 cos(9.69x - 3340t)

Therefore, the correct option is (c) D(x, t) = 0.020 cos(9.69x – 3340t) cm.

To know more about wave traveling, refer here:

brainly.com/question/3730656#

#SPJ11

One-way ANOVA is a statistical procedure that is used for comparing the means of several populations. Also, it is the generalization of pooled t-procedure for comparing the means of two populations.

A mean is also referred to as an arithmetic average and it can be defined as a ratio of the sum of the total number in a data set (population) to the frequency of the data set.

ANOVA is an abbreviation for analysis of variance which was developed by the notable statistician Ronald Fisher. The analysis of variance (ANOVA) is a collection of statistical models with their respective estimation procedures that are used for the analysis of the difference between the group of means found in a sample.

This ultimately implies that, the analysis of variance (ANOVA) helps to ensure we have a balanced data by splitting the observed variability of a data set into random and systematic factors.

In Statistics, the analysis of variance (ANOVA) procedure is typically used as a statistical tool to determine whether or not the means of two or more populations are equal, especially through the use of the following:

In this context, we can infer and logically deduce that a one-way ANOVA is a statistical procedure that is used for comparing the means of several populations. Also, it is the generalization of pooled t-procedure for comparing the means of two populations.

Read more on one-way ANOVA here: https://brainly.com/question/4543160

#SPJ1

Complete Question:

One-way ANOVA is a procedure for comparing the means of several populations. It is the generalization of what procedure for comparing the means of two populations?

A. nonpooled t-procedure

B. paired t-test

C. pooled t-procedure

D. None of the above

The equation \((x-9)^2 + (y + 9^2 + (z + 1)^2 = 64\) represents a ball with a center at (9, -9, -1) and a radius of 8. Therefore, correct option is B.

To find the equation or inequality that describes the given object, we need to consider the equation of a sphere in three-dimensional space. The general equation of a sphere with center (a, b, c) and radius r is:

\((x - a)^2 + (y - b)^2 + (z - c)^2 = r^2\)

In this case, the center of the ball is given as (9, -9, -1), and the radius is 8. Plugging these values into the equation, we have:

\((x - 9)^2 + (y + 9)^2 + (z + 1)^2 = 8^2\)

Simplifying the equation gives:

\((x - 9)^2 + (y + 9)^2 + (z + 1)^2 = 64\)

Therefore, the correct equation that describes the ball is B.

\((x-9)^2 + (y + 9)^2 + (z + 1)^2 = 64.\)

This equation can be used to determine if a given point lies inside or outside the ball. By substituting the coordinates of a point into the equation, we can compare the value to the radius squared (64) to determine the position of the point relative to the ball.

To know more about Equation, visit

https://brainly.com/question/29174899

#SPJ11

Answer: 65

Step-by-step explanation:

area of triangle = 1/2 of base * height

so 13*10 = 130

130 * 1/2 = 65

Answer:

no solutions.

Step-by-step explanation:

Answer:

8 green 17 orange and 19 red

Step-by-step explanation:

Answer:

$17.12

Step-by-step explanation:

$2566.88÷150=$17.12

A compound inequality which shows the possible lengths of the third side is: A. 4 ≤ x ≤ 9.

An inequality can be defined as a mathematical relation that compares two (2) or more integers and variables in an equation based on any of the following arguments:

For this word problem, we would model it by this compound inequality:

25 ≤ x + 9 + 12 ≤ 30

25 - 9 - 12 ≤ x

4 ≤ x.

The sum of three lengths of a fence that ranges from 25 to 30 inches would be modeled by this compound inequality:

x + 9 + 12 ≤ 30

x ≤ 30 - 9 - 12

x ≤ 9

Compound inequality = 4 ≤ x ≤ 9.

Read more on compound inequality here: https://brainly.com/question/24083389

#SPJ1

Answer:

15

Step-by-step explanation:

you just put 5/6 x 18 in calculator, please rate 5 stars :)

Answer:

15 pencils.

Step-by-step explanation:

Multiply 18 and 5/6 to find the answer.

\((18)(\frac{5}{6})=15\)

Therefore, she will have given away 15 pencils.

Answer:

x > 5

Step-by-step explanation:

2x + 3 < 4x - 7 ( subtract 2x from both sides )

3 < 2x - 7 ( add 7 to both sides )

10 < 2x ( divide both sides by 2 )

5 < x , then

x > 5

Answer:

I can help you coming skaiae to the next e I am one freefire keldai to you and a half years of Krishna

Answer:

20: 3

21: 0

22: 1

Step-by-step explanation: Trust me

Answer:

D, X^2 -18 + 81 = -45 + 81

Step-by-step explanation:

it is complating squer method that used for solving x in a quadratic equetion . in this step you will add

(y/2)^2 if y is the cofitient of x .

Yes, the forester was justified in using a Normal model to analyze the woods, because the histogram is unimodal and symmetric. So option A is correct.

A histogram is a type of graph that uses vertical bars to show the distribution of a set of data. This particular histogram is unimodal, meaning that it has one peak which is an indication that the data is distributed normally. Additionally, the histogram is symmetric, which is another indication that the data is normally distributed.
Using a Normal model to analyze the woods is a valid approach because it allows the forester to identify the average diameter of the trees, as well as the spread of the data. It also allows him to check for any outliers, or points that fall outside the normal range. With this information, the forester can determine if the woods is suitable for sale, or if the buyer should be aware of any unexpected features.
Overall, the histogram is an effective way for the forester to analyze the data and determine if a Normal model is appropriate. By noting the unimodal and symmetric nature of the histogram, the forester can be sure that a Normal model will accurately represent the data, allowing him to make an informed decision about the woods.

For  more such questions on histogram

https://brainly.com/question/18198700

#SPJ11

Answer:

3

Step-by-step explanation:

The answer my Math 4 teacher gave me. :) work with it

Answer:

  600 grams

Step-by-step explanation:

You want to know how much each person gets if they share 3 kg of gold dust equally among 5 people.

Each share is 1/5 of the total amount:

  (1/5)(3 kg) = 3/5 kg = 0.6 kg = 600 g

Each of the 5 people gets 0.6 kg, or 600 g.

<95141404393>

The monthly rate for the given loan is 1.0118%.The annual rate for this loan is 12.1423%.

Given loan: $150,000

Payment per month: $1,770

Duration of loan: 10 years

Interest = ?

The formula for monthly payment is given by:

\(PV = pmt x (1 - (1 + r)^-n) / r\)

Where, PV is the present value, pmt is the payment per period, r is the interest rate per period and n is the total number of periods.Solving the above formula for r will give us the monthly rate for the loan.

r = 1.0118%The monthly rate for the given loan is 1.0118%.The annual rate can be calculated using the following formula:

Annual rate = \((1 + Monthly rate)^12 - 1\)

Annual rate = 12.1423%

The annual rate for this loan is 12.1423%.The effective annual rate can be calculated using the following formula:

Effective annual rate =\((1 + r/n)^n - 1\)

Where, r is the annual interest rate and n is the number of times interest is compounded per year.If interest is compounded monthly, then n = 12

Effective annual rate = (1 + 1.0118%/12)^12 - 1

Effective annual rate = 12.6801%

The effective annual rate for this loan is 12.6801%.

Total amount paid after 10 years = Monthly payment x Number of payments

Total amount paid after 10 years = $1,770 x 120

Total amount paid after 10 years = $212,400

The total amount paid after 10 years is $212,400.

The future value for this loan can be calculated using the following formula:

FV = PV x (1 + r)^n

Where, PV is the present value, r is the interest rate per period and n is the total number of periods.If the loan is paid off in 10 years, then n = 120 (12 payments per year x 10 years)

FV = $150,000 x (1 + 1.0118%)^120

FV = $259,554.50

The future value for this loan is $259,554.50.

Thus, the monthly rate for the loan is 1.0118%, the annual rate for this loan is 12.1423%, the effective annual rate for this loan is 12.6801%, the total amount paid after 10 years is $212,400 and the future value for this loan is $259,554.50.

To know more about present value visit:

brainly.com/question/29586738

#SPJ11

Answer:

D

Step-by-step explanation:

The problem steps should be put in the correct order as follows;

Problem ≡ \(\frac{2}{x+1} \cdot \frac{3}{x-2}\)

Multiply numerators and multiply denominators ≡ \(\frac{2 \cdot 3}{(x+1)(x-2)}\)

Simplify numerator and Simplify denominator ≡ \(\frac{6}{(x^2 - x - 2)}\)

In Mathematics and Geometry, a fraction simply refers to a numerical quantity (numeral) which is not expressed as a whole number. This ultimately implies that, a fraction is simply a part of a whole number.

In Mathematics and Geometry, a rational expression simply refers to a type of expression which is expressed as a fraction. In this exercise, we would factorize the numerator and denominator for this rational expression as follows;

Multiply numerators = 2 × 3 = 6

Multiply denominators = (x + 1) × (x - 2) = x² - 2x + x - 2 = x² - x - 2

In conclusion, the required rational expression is given by  \(\frac{6}{(x^2 - x - 2)}\)

Read more on fraction here: brainly.com/question/29367657

#SPJ1

Answer:

a force is described by its strength and by the direction in which it acts. -The strength of a force is measured in the SI unit called the Newton (N).

Step-by-step explanation:

You can find the coefficient of variation for your data set using a TI-84 calculator by following the below steps.

To find the coefficient of variation (CV) using a TI-84 calculator, follow these steps:

1. Enter the data set values into a list on your calculator. For example, if your data is stored in the list L1, enter the values into L1.

2. Calculate the mean of the data set using the calculator's statistical functions. Press the [STAT] button and navigate to the "Calc" menu. Choose the appropriate mean function (e.g., "1-Var Stats" or "mean") and select the list that contains your data (e.g., L1).

3. Calculate the standard deviation of the data set using the calculator's statistical functions. Press the [STAT] button, navigate to the "Calc" menu, and choose the appropriate standard deviation function (e.g., "1-Var Stats" or "stdDev"). Select the list containing your data (e.g., L1).

4. Divide the standard deviation by the mean and multiply by 100 to calculate the coefficient of variation. Store the standard deviation and mean values in variables if necessary. Use the formula CV = (stdDev / mean) * 100 to calculate the coefficient of variation.

By following these steps, you can find the coefficient of variation for your data set using a TI-84 calculator.

Learn more about TI-84 calculator here

https://brainly.com/question/32748414

#SPJ4

To find the coefficient of variation on a TI-84 Plus calculator, enter the dataset into a list, calculate the mean and standard deviation, and then divide the standard deviation by the mean and multiply by 100.

To find the coefficient of variation on a TI-84 Plus calculator, follow these steps:

By following these steps, you can find the coefficient of variation for a dataset using a TI-84 Plus calculator.

About coefficient of variation here:

https://brainly.com/question/30783938

#SPJ11

   "

Answer:

The answer is "c"

Step-by-step explanation:

Answer: 51.5 inches

Step-by-step explanation: The high jumper will be making seven jumps, increasing by 1/2 inch each time. In order to calculate how much it will be moved up from the original position we need to multiply 1/2 x 7 jumps = 3.5 inches. In order to calculate how high the bar will now be, we need to add together the original 48 inch height plus the 3.5 inches that it was been raised, so they total is 51.5 inches high.

Step-by-step explanation:

Y is directly proportional to X" can be rewritten as a mathematical expression of the form Y = KX

"K" is the constant of proportionality and must be determined from the initial information.

If Y = 45 when X=140 means 45 = 140K

K = 45/140 = 0.32

Now that we know the value of K, we can use it to calculate the value of Y when X=70

Y = (0.32)(70) = 22.4