At the local dairy farm, Kareem buys a 32-oz container of yogurt for $2.56. Jonah buys a 6-oz container of yogurt for $0.48. Are the cost, y, in dollars and the amount of yogurt, x, proportional? Explain. Write an equation to represent this relationship.
I need the answer asap plsssssssss ty

P = 35/128  is the probability that the number of heads obtained from flipping the two fair coins is the same.

Describe probability using an example?

P( oH )  = ³C₀ (1/2)³ . ⁴C₀ (1/2)⁴  = 1 . 1/128

P( 1H) = ³C₁ (1/2)³ . ⁴C₁( 1/2 )⁴ = 12/128

P( 2H ) = ³C₂ (1/2)³ . ⁴C₂ (1/2)⁴ = 18/128

P( 3H) = ³C₃ ( 1/2)³ . ⁴C₃ ( 1/2)⁴ = 4/128

P = 1/128 + 12/128 + 18/128 + 4/128

P = 35/128

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We can solve this question using the distance formula. According to the question, the fishing map is laid out on a coordinate plane with each unit equal to 1 mile. the total number of miles traveled is 14 miles. Option B is correct answer.

Here are the steps to find the total number of miles traveled:Step 1: Find the distance between (-4, 0) and (-4, -4) using the distance formula.

Distance = \(sqrt[(-4 - (-4))^2 + (0 - (-4))^2]= sqrt[0 + 16]= 4\) miles

Step 2: Find the distance between (-4, -4) and (0, 0) using the distance formula.

Distance = \(sqrt[(0 - (-4))^2 + (0 - (-4))^2]= sqrt[16 + 16]= sqrt(32)\)

miles (Rounded to the nearest mile, this is 6 miles.)

Step 3: Find the distance between (0, 0) and (-4, 0) using the distance formula.

Distance = \(sqrt[(-4 - 0)^2 + (0 - 0)^2]= sqrt[16]= 4\) miles

Now we can add up all the distances traveled: 4 + 6 + 4 = 14 miles Therefore, the total number of miles traveled is 14 miles.

The correct answer is option B.

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Selecting ball number 25 has no chance of happening.

Probability is only the likelihood that something will occur. When we don't know how something will turn out, we might discuss the likelihood of various outcomes or the potential of one. Statistics is the scientific study of events that conform to a probability distribution.

It is predicated on the likelihood that something will take place. The rationale for probability serves as the theoretical probability's essential tenet. A coin has a 12% chance of landing on its head, for instance, when it is flipped.

Probability is a statistic that is used to indicate the likelihood or potential for an event to occur. Both fractions from 0 to 1 and percentages from 0% to 100% can be used to indicate probabilities.

In 25th Ball it is 0

Because there is no 25th ball

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Answer:

\(\frac{x+xy}{y}\)

Step-by-step explanation:

Given

\(\frac{x}{y}\) + x

Multiply x by \(\frac{y}{y}\) to create a common denominator

= \(\frac{x}{y}\) + x × \(\frac{y}{y}\)

= \(\frac{x}{y}\) + \(\frac{xy}{y}\)

= \(\frac{x+xy}{y}\)

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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Answer:

160

Step-by-step explanation:

Answer:

option A

Step-by-step explanation:

Option A is 1,050 in total

option B is 1,400 in total

option C is 1,100 in total

that's my go at it

The Mean Absolute Deviation over Months 3-6 is 5.

Correct answer is option C) 5

To calculate the Mean Absolute Deviation (MAD) over Months 3-6, we need to follow these steps:

Identify the errors for Months 3-6: The errors for Months 3-6 are 3, -5, 4, and -8.

Calculate the absolute value of each error: Taking the absolute value of each error gives us 3, 5, 4, and 8.

Find the sum of the absolute errors: Add up the absolute errors: \(3 + 5 + 4 + 8 = 20.\)

Divide the sum by the number of errors: Since there are 4 errors, we divide the sum (20) by 4 to get the average: 20/4 = 5.

Determine the Mean Absolute Deviation: The MAD is the average of the absolute errors, which is 5.

Therefore, the Mean Absolute Deviation over Months 3-6 is 5.

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Answer:

7.2inches.

Step-by-step explanation:

Given parameters:

Radius of Circle A  = 6inches

Unknown:

Radius of circle B  = ?

Solution:

We are to find the radius of circle B.

  The relationship between circle A and B is such that;

    Radius of Circle B  = 20% greater than that of A

   Radius of Circle B  = 1.2 x 6  = 7.2inches.

1. The equation for the total cost of meat and cheese at the deli is: Total cost = 7.99m + 5.99c

2. The expression representing the number of wheelbarrow trips is 4x.

3. The initial height of the materials is -42 feet.

1 In this equation, "m" represents the number of pounds of meat, and "c" represents the number of pounds of cheese. The cost per pound of meat is $7.99, and the cost per pound of cheese is $5.99.

The equation for the total cost of meat and cheese at the deli can be written as:

Total cost = 7.99m + 5.99c

2 In order to determine the number of wheelbarrow trips required to spread all the topsoil, we can divide the total weight of topsoil by the weight of topsoil carried per wheelbarrow trip.

Number of wheelbarrow trips = (8 bags * x lb per bag) / 2 lb per trip

Number of wheelbarrow trips = 4x

Therefore, the expression representing the number of wheelbarrow trips is 4x.

The given equation -42 + 3 models the height of the materials, y, in feet, after x seconds of lifting.

The equation suggests that the crane lifts the materials at a constant rate of 3 feet per second.

3 The initial height of the materials can be determined by evaluating the equation when x is 0:

y = -42 + 3(0)

y = -42 + 0

y = -42

Therefore, the initial height of the materials is -42 feet.

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Answer: 4

Step-by-step explanation:

This problem can be represented as:

4+(3-3)

Parenthesis

4+(0)

Add

4

Hope it helps <3

Answer:

The equation wold simply be d+1 simplified and d-3+4 if not im not sure if this is what ur asking?

Step-by-step explanation:

Answer:

y = 3(x - 2) + 4

Answer:

400 cubic cm

Step-by-step explanation:

Given that base is square and is side is 10 cm

area of square is given by side^2

Thus, area of base of cuboid  = \(10^2\) square cm = 100 sq. cm

We know volume for any cuboid is area of base * height

height is 4cm

thus, volume of cuboid = area of base of cuboid * height

                                     = 100 * 4 cubic cm = 400 cubic cm

Volume of cuboid is 400 cubic cm.

Unit is cubic cm

The volume of square based cuboid is \(400cm^{3}\).

Given that, base is square and side of base is 10 cm.

Height of the square-based cuboid.is 4cm.

Area of base = \((side)^{2}=(10)^{2}=100cm^{2}\)

Volume of the cuboid is multiplication of base area and height of the cuboid.

  \(Volume=100*4=400cm^{3}\)

Hence, the volume of square based cuboid is \(400cm^{3}\).

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Converges; the series is a constant multiple of a geometric series. Option A

The given series can be written as:

\(\sum n=1 to \infty 4^{(n+1)} * 5^{(-n)\)

= \(4 * \sum n=1 to \infty (4/5)^n\)

This is a geometric series with first term a=4 and common ratio r=4/5. The series converges if and only if |r| < 1. Here, |r| = 4/5 < 1, so the series converges.

The sum of a convergent geometric series with first term a and common ratio r is given by:

sum = a / (1 - r)

Applying this formula, we get:

sum = 4 / (1 - 4/5) = 4 * 5 = 20

Therefore, the given series converges to 20.

The correct answer is option (a) Converges; the series is a constant multiple of a geometric series.

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Answer:

l = 194999.45

Step-by-step explanation:

I'm going to assume that you meant 3.14 by 3,14.

336,765 = 3.14 × 0.55 × (l + 0.55)

336,765 ÷ (3.14 × 0.55) = l + 0.55

(336,765 ÷ (3.14 × 0.55)) - 0.55 = l

l = 194999.45

There are 360 black counters and 306 white counter in 20:17 ratio.

Let's denote the number of black counters by B and the number of white counters by W. We know that the ratio of black to white counters is 20:17, which means that:

B/W = 20/17

We also know that there are 54 more black counters than white counters, which means that:

B = W + 54

We can use substitution to solve for B. Substituting the second equation into the first equation, we get:

(W + 54)/W = 20/17

Cross-multiplying, we get:

17(W + 54) = 20W

Expanding the left side, we get:

17W + 918 = 20W

Subtracting 17W from both sides, we get:

918 = 3W

Dividing both sides by 3, we get:

W = 306

Now we can use the second equation to find B:

B = W + 54 = 306 + 54 = 360

Therefore, there are 360 black counters in the bag.

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Therefore , the solution of the given problem of angle comes out to be  tangent is approximately 0.952 and its sine is roughly 0.729.

An angle is a shape in Euclidean geometry made up of two angles, or circular faces, that divide at the centre of the wall and the wall's apex. At their intersections, two rays can join to form an angle. Angle is another outcome of two entities interacting. They are known as dihedral angles. A two-dimensional curve can be created by arranging two line beams in various ways at their ends.

Here,

We must ascertain the values of y and x in order to determine the sine and tangent of the angle. We are aware of:

=> √(x² + y²) * cos(θ) = x/h * 21/29

When we square both edges, we obtain:

=> x² / (x^2 + y²) = 441/841

The result of multiplying both parts by (x² + y²) is:

=> x²= (441/841) (x²+ y²)

If we simplify, we get:

=> (400/841) x² = (441/841) y²

The result of dividing both parts by (441/841) is:

=> (400/441) x²/ y² = 1

=> (y/x)² = 400/441

When we square the two edges, we obtain:

=> y/x = ±(20/21)

=> y/x = 20/21

Therefore,

sin(θ) = y/√(x² + y²) = (20/21) / √(1 + (20/21)²) ≈ 0.729

=> tan(θ) = y/x = 20/21 ≈ 0.952

As a result, the angle's tangent is approximately 0.952 and its sine is roughly 0.729.

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The system of inequalities is y ≤ 32 - x and y ≥ (168 - 15x)/25.

Jordan is working for two summer jobs. The amount made per hour by walking dogs is $15. The amount made per hour by clearing tables is $25. Jordan can work for a maximum of 32 hours a week. He must earn at least $168.

The number of hours spent walking dogs is represented by "x". The number of hours spent clearing tables is represented by "y". The inequalities formed are :

x + y ≤ 32

15x + 25y ≥ 168

The graph of the common shaded region is attached below. The solutions lie in the first quadrant, where the region is shaded for both the inequalities.

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Answer:

Y=x^2+7x-3

complete the square to re-write the quadratic function in vertex form.

pls help

Step-by-step explanation:

To complete the square, we need to add and subtract a constant term inside the parentheses, which when combined with the quadratic term will give us a perfect square trinomial.

y = x^2 + 7x - 3

y = (x^2 + 7x + ?) - ? - 3 (adding and subtracting the same constant)

y = (x^2 + 7x + (7/2)^2) - (7/2)^2 - 3 (the constant we need to add is half of the coefficient of the x-term squared)

y = (x + 7/2)^2 - 49/4 - 3

y = (x + 7/2)^2 - 61/4

So the quadratic function in vertex form is y = (x + 7/2)^2 - 61/4, which has a vertex at (-7/2, -61/4).

The specific gravity of the combined product is 1.22

Specific gravity is the ratio of the density of a substance to the density of some substance (such as pure water) taken as a standard when both densities are obtained by weighing in air.

Given,

The total quantity of portion= 50 ml

Specific gravities of the three syrups = 1.10,1.25 and 1.32

Then,

The specific gravity of the combined product= \(\frac{1.10+1.25+1.32}{3}\)

= 1.22

Hence, the specific gravity of the combined product is 1.22.

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Answer:

Step-by-step explanation:

The first thing you need to do is find the volume.

r = 2cm

h = 7 cm

pi = 3.14

V = pi*r^2 *h

V = 3.14 * 2^2 * 7

V = 3.14 * 4 * 7

V = 87.92 cm^3

Next find the mass using the density formula

Density = mass / volume

Density = 3.1 grams / cm^3

Volume = 87.92 cm^3

3.1 = m / 87.92               Multiply both sides by 87.92

3.1 * 87.92 = m

m = 272.55

Note:

Technically There should be no decimal places. 3.1 is only 2 significant digits. The answer should be 270 grams.

Answer:

Step-by-step explanation:

Cost price = fixed expenses + variable expenses× number of products (x)

Selling price = total cost price + profit

At break even point,

Profit = 0

Therefore, total selling price = total cost price

X(22.50)= 25560 + x(4.50)

(22.50 - 4.50)x = 25560

18x= 25560

X = 1420

The required annual premium rate for the given term life policy is $50,850.

Term life insurance  covers you for a particular measure of time - basically, the strategy's term. The length of the term can change to suit your specific conditions. You can likewise look over two changed sorts of term disaster protection: diminishing term protection and level term protection.

Annual Premium Rate implies, if pertinent, the exceptional rate so determined on the Statements Page of this Strategy to be utilized in processing a premium to be transmitted yearly.

Jacob needs to purchase a $500,000 15-year term life strategy, and the yearly superior rate (per $1000 of presumptive worth) for his age bunch is $6. 78.

Number of 1000 of every 500000 will be 500000/1000 = 500

the yearly superior rate (per $1000 of assumed worth) for his age bunch is $6. 78.

Absolute premium is 500 x 6.78 = 3390

The premium each year is 3390

For quite some time, the all out premium is

15 x 3390 = 50850

Thus, over all premium jacob have paid $50850.

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74100

170000

36000

I believe this is right!

Answer:

I think the answer is underestimate of the circle

Step-by-step explanation:

I believe it is underestimate because the dodecagon is inside the circle, therefore smaller than the circle. It wont fill the circle completely so that is why i think it is underestimate. I hope this helps, if not I am really deeply sorry!!!!!

The given question is incomplete. The complete question is:

Joanna earns $12 per hour at her job. Last week, joanna earns $432

use this information to answer the next question. Which equation can be used to determine the number of hours Joanna worked last week.

a. h+ 12 = 432

b. 432 h =12

c. 12 h = 432

d. \(\frac{1}{12} h=432\)

Answer: c. 12 h = 432

Step-by-step explanation:

Given : Amount paid per hour = 12 $

12 $ are earned by Joanna by working for = 1 hour

Thus 432 $ are earned by Joanna by working for = \(\frac{1}{12}\times 432hour=36hours\)

Thus the equation that can be used to determine the number of hours Joanna worked last week is \(12\times h=432\)

Answer:

Is it B?

Step-by-step explanation:

ab^2 + 2a^2b + 4a + 2b

ab(b+2a) +2(2a+b)

ab(b+2a) +2(b+2a)

(ab+2)(b+2a)

that's why ab+2 is the answer.