A beverage manufacturer is mixing up a 30% tomato juice blend. The manufacturer already
has 740 liters of a blend that contains 36% juice, to which some 26% juice will be added.
How much should be added to obtain the 30% tomato juice that is desired?
Write your answer as a whole number or as a decimal rounded to the nearest tenth.
liters
Submit
a
M

To find the volume of the solid, you need to calculate the area of each cross-section and then multiply that by the thickness of the section (which is the distance along the y-axis).

(a) Squares: The cross-sections are squares with sides of length y. The area of a square is side^2, so the area of each square is y^2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the square cross-sections is y^2 * y

(b) Semicircles: The cross-sections are semicircles with radii of length y. The area of a semicircle is (pi * r^2) / 2 , so the area of each semicircle is (pi * y^2) / 2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semicircular cross-sections is (pi * y^2) / 2 * y

(c) Equilateral triangles: The cross-sections are equilateral triangles with side length of y. The area of an equilateral triangle is (s^2 * √3)/4. so the area of each equilateral triangle is (y^2 * √3) / 4. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the equilateral triangle cross-sections is (y^2 * √3) / 4 * y

(d) Semi-ellipses: The cross-sections are semi-ellipses whose heights are twice the lengths of their bases. The area of a semi-ellipse is πab/2, where a and b are the lengths of the semi-major and semi-minor axes respectively. Therefore the area of each semi-ellipse will be (πy^2)/2. The thickness of the section is the distance along the y-axis, which is the difference between y and 0, or simply y. So the volume of the solid for each of the semi-ellipse cross-sections is (πy^3)/2

It is important to note that this is a theoretical volume calculation, as the shape of the solid does not have a closed form representation by these functions, but rather, these are an approximation.

Also, for any of these volumes to be meaningful, we have to integrate over the range of the variable y, since it is bounded by the equations y=x, y=0 and x=1, the variable y is limited.

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The correlation coefficient mostly based on all the observation's values' with the deviations from about the mean for both variables. So, it's true.

A correlation coefficient is a statistical degree of the diploma to which modifications to the cost of 1 variable are expecting extrade to the cost of another. In definitely correlated variables, the cost will increase or decreases in tandem. A correlation coefficient is a variety of among -1 and 1 that tells you the electricity and path of a courting among variables.

In different words, it displays how comparable the measurements of or greater variables are throughout a dataset. Both quantify the path and electricity of the connection among numeric variables. When the correlation (r) is negative, the regression slope (b) might be negative. When the correlation is positive, the regression slope might be positive.

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Answer:

I believe it's 14

Step-by-step explanation:

To find the range you subtract to highest and lowest values, (15 and 1)

15 - 1 = 14

I took the test and its 13.

Answer: Students 1 and 3

Step-by-step explanation:

student 1=

- (5r+3s-1)=

-5r+3s-1=

the same answer as student 3

Answer:

Instructions are below.

Step-by-step explanation:

Giving the following information:

Monthly fixed cost= $6,000

Variable cost per occupied room per night= $20

Revenue per occupied room per night= $75

First, we need to structure the total cost formula:

Total cost= 6,000 + 20*x

x= occupied room

Now, we can find the expression for total revenue:

Revenue= selling price per unit*units - fixed cost - unitary variable cost*units

Revenue= 75*x - 6,000 - 20*x

I assume that the 12 rooms will be occupied for the 30 days:

Revenue= 75*(12*30) - 6,000 - 20*(12*30)

Revenue= $13,800

Finally, we need to determine the break-even point in units:

Break-even point in units= fixed costs/ contribution margin per unit

Break-even point in units= 6,000 / (75 - 20)

Break-even point in units= 109 rooms

On percentage= (109/360)*100= 30.28%

The size of the largest interior angle of the field is 69.86°

The law of cosines relates the lengths of the sides of a triangle to the cosine of one of its angles.

Given that, a triangular field has boundaries of lengths 170m, 195m and 210m, we need to find the size of the largest interior angle of the field,

We know that, angle opposite to the largest side is largest,

Therefore,

The largest angle is opposite is 210 m side, (say c)

Using the cosine rule,

210² = 170²+195²-2(170)(195)cosC

CosC = 170²+195²-210² / 2(170)(195)

CosC = 22825 / 66300

CosC = 0.344268477

C = 69.86°

Hence, the size of the largest interior angle of the field is 69.86°

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Answer:

2 and 42

Explanation:

They are the furthest numbers from the average.

We can use the formula for exponential decay:

N(t) = N0 * e^(-kt)

where:

N(t) = amount remaining after time t

N0 = initial amount

k = decay constant

We can solve for k using the given information:

55 = 110 * e^(-k * 15)

e^(-k * 15) = 0.5

-k * 15 = ln(0.5)

k = -ln(0.5) / 15

k ≈ 0.0462

Now we can use this value of k to find N(25):

N(25) = 110 * e^(-0.0462 * 25)

N(25) ≈ 39.6 mg

Therefore, approximately 39.6 milligrams will remain after 25 hours.

Answer:

1

Step-by-step explanation:

The y-coordinate of the vertex is 1.

Answer:

\(8x-38\)

Step-by-step explanation:

\(3(x-6)+5(x-4)\\3x-18+5x-20\\3x+5x-18-20\\8x-38\)

Based on the fact that you will eat only 5 pieces per day out of the bucket of 125 pieces of candy, this is an arithmetic sequence.

An arithmetic sequence is one where the difference between the consecutive numbers in the sequence have a common difference.

In this case, the sequence will reduce by 5 and look like:

125, 120, 115, 110, 105, 100,...

The difference between each of these figures is the same and that difference is 5.

With a common difference of 5, we can say that this sequence is arithmetic.

The rest of the question:

Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you're going to only eat 5 pieces per day. Is this an arithmetic sequence?

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Option B. y = 3 (one-third) Superscript x is the function that is graphed in this question.

We have exponential functions to be of the form abˣ

This can be written in the form of f(x) = \(3\frac{1}{3} ^x\)

So it crosses through the point (0, 3).

From the way that the curve passes through the circle, we can see that the it is said to pass through at (0, 3) and approaches y = 0 in quadrant 1

Hence this would put our answer to be y = 3 (one-third) Superscript x

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Answer:the answer is b dont care

Step-by-step explanation:

On a coordinate plane, an exponential decay function is shown. The curve starts in quadrant 2 and decreases into quadrant 1. It crosses the y-axis at (0, 3) and approaches y = 0 in quadrant 1.

y = one-third (3) Superscript x

y = 3 (one-third) Superscript x

y = (one-half) Superscript x Baseline + 2

y = (2) Superscript x Baseline minus 1

The exact value of n is 4.4

Ratio is defines the relationship between two quantities such as a:b, where b is not equal to 0.The two numbers in a ratio can only be compared when they have the same unit. We make use of ratios to compare two things. The sign used to denote a ratio is ‘:’

According to the question,

Ajay and Belinda plan to share some money in the ratio 1: 4

Let Ajay got total of x

and Belinda got 4x

Total money will be then x + 4x = 5x

Belinda finds that changing the ratio to 1:n would result in her share increasing by 10%

10% of 4x = 4x + 10×4x/100

= 4x + 4x/10

= 4x + 2x /5

=4.4 x

To get 10% more share n should be 4.4

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Answer: 15, 17, 19, 21, 23

Step-by-step explanation:

You can let the middle number = x, then the numbers are

x-4, x-2, x, x+2, x+4

Plugging it back in to what is given,

x-4+x-2+x = 7+x+2+x+4

3x-6 = 2x + 13

x = 19

The numbers are 15, 17, 19, 21, 23

The first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23

Sequence is an enumerated collection of objects in which repetitions are allowed and order matters.

Let x be the first odd integer, then the next four odd integers would be x+2, x+4, x+6, and x+8.

According to the problem, the sum of the first three integers is 7 more than the sum of the last two, which can be expressed mathematically as:

x + (x+2) + (x+4) = (x+6) + (x+8) + 7

Simplifying the equation, we get:

3x + 6 = 2x + 21

Subtracting 2x and 6 from both sides, we get:

x = 15

Therefore, the first odd integer is 15, and the five consecutive odd integers are 15, 17, 19, 21, 23

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Answer:

176.6 dm^2

Step-by-step explanation:

See attached image.

Answer:

\(27x^2\)

Step-by-step explanation:

1) First, "cancel out" the 3s. Remember, exponents are kind of like another way of saying, "multiply this number by itself this many times." Whatever the bigger number is is the number that you multiply by itself, and the smaller number at the top indicates how many times you have to do that.

Take \(3^4\), for example. It's saying "multiply 3 by itself 4 times." Therefore, you can write it as (3)(3)(3)(3):

\(\frac{3^4x^4}{3x^2} \\= \frac{(3)(3)(3)(3)x^4}{(3)x^2} \\\)

Now, simplify. For each 3 in the denominator, cross out a 3 in the numerator. So, cross out the single 3 in the denominator, and cross out one 3 in the numerator. Then, multiply the left over 3s. This gives us this:

\(\frac{(3)(3)(3)x^4}{x^2}\)

\(= \frac{27x^4}{x^2} \\\)

2) Do the same with the x's. Write them out, cancel them out, and then multiply the leftovers together:

\(\frac{27x^4}{x^2}\\= \frac{27(x)(x)(x)(x)}{(x)(x)}\\= 27 (x)(x)\\= 27x^2\\\)

Therefore, \(27x^2\) is the answer.

The group of individuals fitting a description is called option D: Population, this is because, in statistics, a population is seen as am entire group of individuals, items, or elements that tends to have or share a common characteristics.

The term "population" describes the complete group of people or things that you are interested in investigating. It is the group of individuals or thing(s) about which you are attempting to draw conclusions.

There are infinite and finite populations. A population with a set quantity of people or things is said to be finite. An endless population is one that has an infinite amount of people or things.

Therefore, the correct option is D

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See full text below

A group of individuals fitting a description is the _____

Which of the term below fit the description above.

A.census

B.sample

C.parameter

D.population

The recursive formula for this problem is given as follows:

\(P_n = 1.05 \times P_{n - 1}\)

The explicit formula for this problem is given as follows:

\(P_n = 150(1.05)^n\)

The number of tickets in 2026 is given as follows:

297 tickets.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number which is defined as the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n}\)

In which \(a_1\) is the first term.

The parameter values for this problem are given as follows:

\(a_1 = 150, q = 1.05\)

Hence the function is given as follows:

\(P_n = 150(1.05)^n\)

2026 is 14 years after 2012, hence the number of tickets is given as follows:

\(P_{14} = 150(1.05)^{14} = 297\)

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To convert  Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32

Let C represent the degrees Celsius and F represent the degrees Fahrenheit.

The relationship between C and F is given as:

C = (F-32) × 5/9

Hence to convert Celsius to Fahrenheit, we make F the subject of formula:

C = (F-32) × 5/9

9C/5 = (F-32)

F = (9/5)C + 32

To convert  Celsius to Fahrenheit, Josh needs to use the formula; F = (9/5)C + 32

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Answer:

Step-by-step explanation: This is one of the most common examples given in math textbooks, and it's useful to know if you ever travel outside the U.S., or if you are from outside the U.S. and travel here.

C = 5/9 (F - 32)

9C = 5(F - 32)

9/5 C = F - 32

9/5 C + 32 = F

F = 9/5 C + 32

From the given numbers root (3/4) and root (9/4) irrational numbers.

What are irrational numbers?

Irrational numbers are the set of real numbers that cannot be expressed in the form of a fraction, p/q where p and q are integers. The denominator q is not equal to zero (q ≠ 0). Also, the decimal expansion of an irrational number is neither terminating nor repeating.

Here,

root(3/16) is a rational number

root(9/16) is a rational number.

Therefore, from the given numbers root(3/4) and root(9/4)  are the irrational numbers.

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Complete Question

Educational Television In a random sample of 200 people, 159 said that they watched educational television. Find the 90% confidence interval of the true proportion of people who watched educational television. Round the answers to at least three decimal places.

Answer:

The 90% confidence interval is   \(0.748  <  p <  0.842\)      

Step-by-step explanation:

From the question we are told that

     The sample size is  n = 200

     The number of people that watched the educational television is \(k = 159\)

Generally the sample proportion is mathematically represented as

               \(\^ p = \frac{159}{200}\)

=>               \(\^ p = 0.795\)

From the question we are told the confidence level is  90% , hence the level of significance is    

      \(\alpha = (100 - 90) \%\)

=>   \(\alpha = 0.10\)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.645\)

Generally the margin of error is mathematically represented as  

     \(E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } \)

=>     \(E =  1.645  * \sqrt{\frac{0.795 (1- 0.795)}{200} } \)

=>     \(E = 0.04696 \)

Generally 95% confidence interval is mathematically represented as  

      \(\^ p -E <  p <  \^ p +E\)

=>    \(0.795  -0.04696  <  p <  0.795 + 0.04696\)

=>    \(0.748  <  p <  0.842\)      

Answer:

3.6

Step-by-step explanation:

You just subtract 8.1 from 4.5. Have a great day!

Answer:

the answer is D

hope it helps

The correct graph of the inequality -0.4x - 2 < - 1.2 is option 2.

Equation containing a relational operator and a linear expression is known as a linear inequality. In a coordinate plane or space, regions that satisfy a linear inequality are defined. A linear inequality defines a half-plane in two dimensions, which, depending on the inequality, can be either above or below a line. A linear inequality defines a half-space in three dimensions, which, depending on the inequality, is either above or below a plane. The goal of optimization problems is to determine the maximum or minimum value of a linear function under a set of constraints, which are typically represented by linear inequalities.

The given inequality is -0.4x - 2 < - 1.2.

-0.4x - 2 < - 1.2

Adding 2 on both sides of the equation we have:

-0.4x < -1.2 + 2

-0.4x < 0.8

-x < 2

x > -2

Hence, the correct graph of the inequality is option 2.

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The simplified expression for h(x) is h(x) =  4 log₂(x) - 4.

Given information:

f(x) = (log₂(x) + 2) and g(x) = (log₂(x³) - 6)

h(x) = f(x) + g(x) = (log₂(x) + 2) + (log₂(x³) - 6)

Using the rules of logarithms, we can simplify g(x) as follows:

g(x) = log₂(x³) - 6

= 3 log₂(x) - 6.

Now we can substitute this into the expression for h(x):

h(x) = (log₂(x) + 2) + 3 log₂(x) - 6

= 4 log₂(x) - 4

Therefore, the simplified expression for h(x) is h(x) =  4 log₂(x) - 4.

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cos(x + y) cos(x - y) = (cos(x) cos(y) - sin(x) sin(y)) (cos(x) cos(y) + sin(x) sin(y))

… = (cos(x) cos(y))² - sin(x) sin(y) cos(x) cos(y) + sin(x) sin(y) cos(x) cos(y) - (sin(x) sin(y))²

… = (cos(x) cos(y)) - (sin(x) sin(y))²

… = cos²(x) cos²(y) - sin²(x) sin²(y)

… = (1 - sin²(x)) cos²(y) - sin²(x) sin²(y)

… = cos²(y) - sin²(x) cos²(y) - sin²(x) sin²(y)

… = cos²(y) - sin²(x) (cos²(y) + sin²(y))

… = cos²(y) - sin²(x)

Answer:

Y-intercept is (0,8)

Step-by-step explanation:

The line of an equation is y=mx+b. M in this case is 1 and "b" is the y intercept. since in the place of b is positive 8 the y-intercept is 8

I don't really get what you mean