You buy milk that contains 180 calories per 2 cups. Use a ratio table to find the number of calories in 18 cups.

The total value of the prize is $936,000.

The state will need to invest $591,498.96 now at a 5% interest rate to cover the weekly prize payments for 20 years.

The total value of the prize is calculated by multiplying the annual payment by the number of years and is equal to:

=  $900/week x 52 weeks/year x 20 years

= $936,000.

We need to use the present value formula which is: PV = PMT x [1 - (1 + r)^-n] / r

Plugging in the values:

PV = $900 x [1 - (1 + 0.00096154)^-1,040] / 0.00096154

PV = $900 x 657.221075423

PV = $591,498.968.

Read more about state lotto

brainly.com/question/28988219

#SPJ1

If the unit is changed from feet to inches, the correlation coefficient remains unchanged; equal to 0.89. Option D

We know that the correlation coefficient is the figure that shows the level of association between two variables. If the correlation coefficient is large and positive it means that there is a large degree of association between the variables.

On the other hand, if the value of the correlation coefficient is small then we know that there is only a little association between the variakes. The correlation coefficient would not change even if the units of the measurements change.

Learn more about correlation coefficient:https://brainly.com/question/15577278

#SPJ1

Answer:

Understgand what?

Step-by-step explanation:

Answer:

whats your question?

Step-by-step explanation:

Answer:

250

Step-by-step explanation:

The phrase "all free variables of a formula ϕ(u1, . . . , un) are among u1, . . . , un" refers to a property of a logical formula ϕ with variables u1, u2, ..., un. In logic and formal systems, variables are used to represent unspecified elements or objects.

When a variable is considered "free" in a formula, it means that it is not bound by any quantifiers or other logical operators in the formula. In other words, it is a variable that is not restricted in any way within the formula.

The given statement implies that all the free variables in the formula ϕ(u1, . . . , un) are explicitly listed among the variables u1, u2, ..., un. In other words, the formula ϕ does not contain any additional free variables beyond the ones explicitly mentioned.

Learn more about variable on

https://brainly.com/question/28248724

#SPJ1

Answer:

The total cost will be 2 adult ($16), and 4 children ($8)

The insect measurement that was the most frequent is given as follows:

1 and 1/4 inches.

A dot plot is a simple graphical display that uses dots to represent data values. It is also sometimes called a dot chart or a scatterplot. In a dot plot, each data point is represented by a dot along a number line or axis, where the position of the dot corresponds to the value of the data point.

Hence, a dot plot shows the number of times that each observation appeared in the data-set.

The observation with the most dots is the observation 2/8 of the way between 1 and 2, hence the most frequent observation is given by the following mixed number:

1 and 2/8 = 1 and 1/4 inches.

More can be learned about dot plots at https://brainly.com/question/24309209

#SPJ1

The solutions for the given equation is x=0, x=-4 and x=3.

The given functions are f(x)=2x³+9x²+13x+12 and g(x)=3x³+10x²+x+8.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Now, f(x)-g(x)

= 2x³+9x²+13x+12-(3x³+10x²+x+8)

= 2x³+9x²+13x+12-3x³-10x²-x-8

= -x³-x²+12x+4

Graph the cubic using its end behavior and a few selected points.

Rises to the left and falls to the right

Plot (-2, -16), (-1, -8), (0, 4), (1, 14) and (2, 16)

Given f(x)-g(x)=4

-x³-x²+12x+4=4

⇒ -x³-x²+12x=0

⇒ -x(x²+x-12)=0

⇒ x=0 and x²+x-12=0

⇒ x=0 and x²+4x-3x-12=0

⇒ (x+4)(x-3)=0

⇒ x=0, x=-4 and x=3

Therefore, the solutions for the given equation is x=0, x=-4 and x=3.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ1

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

To find the quotient of z₁ by z₂ in trigonometric form, we'll express both complex numbers in trigonometric form and then divide them.

Let's represent z₁ in trigonometric form as z₁ = r₁(cosθ₁ + isinθ₁), where r₁ is the magnitude of z₁ and θ₁ is the argument of z₁.

We have:

z₁ = 7(cos(577°) + i sin(577°))

Now, let's represent z₂ in trigonometric form as z₂ = r₂(cosθ₂ + isinθ₂), where r₂ is the magnitude of z₂ and θ₂ is the argument of z₂.

From the given information, we have:

z₂ = 21(cos(-7°) + i sin(-77°))

To find the quotient, we divide z₁ by z₂:

z₁ / z₂ = (r₁/r₂) * [cos(θ₁ - θ₂) + i sin(θ₁ - θ₂)]

Substituting the given values, we have:

z₁ / z₂ = (7/21) * [cos(577° - (-7°)) + i sin(577° - (-7°))]

= (7/21) * [cos(584°) + i sin(584°)]

The quotient of z₁ by z₂ in trigonometric form is:

7/21 * (cos(584°) + i sin(584°))

Option C, 21(cos(-7°) + i sin(-77°)), is not the correct answer as it does not represent the quotient of z₁ by z₂.

For more questions on trigonometric form

https://brainly.com/question/31744474

#SPJ8

Answer:

(3,0)

Step-by-step explanation:

The number on the x axis is the only number that changes not the number on the y axis.  

Answer:

-2

Step-by-step explanation:

(6,0)-(0,3)

It goes don -6 and over 3

-6/3=-2

Answer: The answer is D: 7 1/2.

Step-by-step explanation:

When h = 4, j = 5, and k = -1, the expression jkh + hj - jk equals 5.

To solve the expression we have to substitute the value of each variable in the expression. Then simplify the expression according to mathematic rule. After solving we get the solution of the expression.

An expression is a combination of numbers, variables, and/or operations that can be evaluated or simplified to obtain a numerical or algebraic result.

The given expression is:

jkh + hj - jk

Substituting the given values of h, j, and k, we get:

jkh + hj - jk = (5 x (-1) x 4) + (5 x 4) - (5 x (-1))

Now simplify the expression

jkh + hj - jk = (-20) + 20 + 5

jkh + hj - jk = 5

Therefore, the value of  jkh + hj - jk equals 5.

To know more about expression link is here

brainly.com/question/14083225

#SPJ1

The total cost for the appliances plus interest is 4330.

What is an interest rate?

The amount a lender charges a borrower is called an interest rate, and it is expressed as a percentage of the principal or the loaned amount. Typically, a loan's interest rate is expressed as an annual percentage rate, or APR.

Here, we

Cost of the appliance = $3725

Neema paid $700 so amount financed = $3725 - $700 = $3025

Interest rate on the loan = 3025*0.05*4 = $605

Total cost of the appliance = $3725 + 605 = $4330

Hence, the total cost for the appliances plus interest is 4330.

To learn more about the interest rate from the given link

https://brainly.com/question/25793394

#SPJ1

Answer:

24:56 is equivalent to 3:7

Step-by-step explanation:

All you have to do is divide 24:56 by 8.

1. 24 ÷ 8 = 3

2. 56 ÷ 8 = 7

And there you go = 3:7

Answer:

6 is 100 times 0.06  

0.06 is 10 times 0.006  

60 is 1/100 of 6,000

Step-by-step explanation:

Since 6/100 is equal to 0.06, we can say that 6 is the result of multiplying 0.06 by one hundred (0.06 x 100 = 6).  

On the other hand, since 0.06 / 10 is equal to 0.006, it is correct to say that 0.006 x 10 is equal to 0.06 (0.006 x 10 = 0.06).  

Finally, 60 is one hundredth of 6000, since multiplying 60 x 100 the result is 6,000 (6,000 / 100 = 60).

hope this really helped!!

mark me brainliest :D

The complete sentences are:

6 is 100 times 0.06 .

0.06 is 10 times 0.006.

60 is 1/100 of 6,000.

"6 is 100 times greater than 0.06":

This means that if you multiply 0.06 by 100, you get 6.

So, 6 is indeed 100 times larger than 0.06.

"0.06 is 10 times greater than 0.006":

In this case, if you multiply 0.006 by 10, you get 0.06.

Thus, 0.06 is 10 times larger than 0.006.

"60 is 1/100 of 6,000":

This means that if you divide 6,000 by 100, you get 60.

So, 60 is a hundredth (1/100) of 6,000.

Hence, 6 is 100 times 0.06  

0.06 is 10 times 0.006  

60 is 1/100 of 6,000

To learn more on Number system click:

https://brainly.com/question/1763119

#SPJ3

Step-by-step explanation:

18/24>20/24 you have to flip the sign to make it correct

Answer:

1 fact per 3 seconds because you divide 300 by 100

Answer:

3 seconds/per fact

Step-by-step explanation:

300 divided by 100

= 3

Nearest thousands means that we want 3 decimal places. To approximate a number to it we see the next decimal place. If it is greater than 5, we round up, if it is less than 5, we round it down.

If it is exactly 5, we round it so that the last digit is even.

In this case, we have 0.4275. We want 3 decimal places and the fouth is exactly 5, so we need to use the third rule. Since the third digit is 7, if we round down, we will still be at 7, which is odd, so we need to round up, so we becomes 8, and even digit.

So, the approximation is 0.428.

The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

for such more questions on  weight

https://brainly.com/question/29892643

#SPJ8

The perimeter of the rectangle PQRS would be 28 cm which is the addition of all lengths of sides.

The given rectangle PQRS that has a length of the diagonal PR is 10 cm and PQ = 8 cm

The perimeter of a rectangle is defined as the addition of the lengths of the rectangle's four sides.

To determine the perimeter of the rectangle.

Since opposite sides of the rectangle and diagonal are equal.

⇒ PQ = SR = 8 cm

⇒ PR = QS = 10 cm

⇒ PS = QR = x cm (suppose)

In the rectangle, all the angles are right angles

Now in △QRS,

Using Pythagoras' theorem, we have

QS² = QR² + SR²

10² = x² + 8²

x² = 100 - 64

x =√36

x = 6 cm

So length of PS = QR = 6 cm

The perimeter of the rectangle = PQ + SR + PS + QR

The perimeter of the rectangle = 8 + 8 + 6 + 6 = 28 cm

Therefore, the perimeter of the rectangle PQRS would be 28 cm.

Learn more about the Perimeter of the rectangle here:

brainly.com/question/15287805

#SPJ1

We have the following expression given:

We can start selecting as common factor 4y^2 and we got:

Now we can select y+7 as common factor and we got:

So then our final answer would be:

The expression for h(x) is,

⇒  h (x) = √(x - 2) + 4

Now, Given that;

Initially the graph f (x) is shifted horizontally to the right.

When the graph shifts to right the function then becomes

f (x) → f (x-b)

Where b is the units by which it is shifted towards right .

So, in the figure we can see that it is shifted 2 units to the right .

So, f(x) → f(x-2)

Since f(x) is,

⇒ f (x) = √x

So, f (x-2) = √x - 2

Now, the new obtained graph is again shifted vertically upward

When the graphs shifts upward;

⇒ f(x) → f(x) + b

where b is the units by which it is shifted upward

So, our obtained f(x-2) when shifted upward by 4 units so using the above given transformation of upward shift

i.e. f(x) → f(x) + b

So, Our new graph h(x) = f(x-2) + 4

⇒  h (x) = √(x - 2) + 4

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ1

The simplified expression is \(-4x^2 + 3x + 1\), which is a quadratic polynomial. Option D.

To simplify the expression \((8x^2 + 3x) - (12x^2 - 1)\), we can distribute the negative sign to each term within the parentheses:

\(8x^2 + 3x - 12x^2 + 1\)

Next, we can combine like terms by adding or subtracting coefficients of similar powers of x:

\((8x^2 - 12x^2) + 3x + 1\)

Simplifying further, we have:

\(-4x^2 + 3x + 1\)

The resulting polynomial \(-4x^2 + 3x + 1\) is a quadratic polynomial since it has a highest power of x^2 (the exponent of x is 2), which is\(-4x^2.\)Quadratic polynomials are polynomials of degree 2 and can be represented by a parabola when graphed.

In summary, the simplified expression \((8x^2 + 3x) - (12x^2 - 1)\) simplifies to \(-4x^2 + 3x + 1\) , which is a quadratic polynomial. So Option D is correct

For more question on quadratic visit:

https://brainly.com/question/1214333

#SPJ8

Note the complete question is

Answer:

11.07

Step-by-step explanation:

a yard is three times a foot so 3×3.69 is the answer

I didn't read it right, ignore me

We are not given the radius of the circle or any other relevant data, so I assumed the radius of the circle r=5

Answer:

The y-coordinate of Q is 3

Step-by-step explanation:

Circles and Lines

The figure below shows a circle of radius r=5 and a segment that goes from the center of the circle to a point of the circumference, where x=4.

We can find the y-coordinate of that point by using Pithagora's theorem:

\(r^2=x^2+y^2\)

Solving for y:

\(y^2=r^2-x^2\)

\(y^2=5^2-4^2\)

\(y^2=25-16=9\)

\(y=\sqrt{9}=3\)

The y-coordinate of Q is 3

Answer:

Step-by-step explanation:

67

Alijah's taxable income puts him in the first tax bracket, over $8,350 but not surpassing $33,950. Hence, his tax due is a base of $835 plus 15% of the income that exceeds $8,350. This results in a total tax payable of $850. Option B is the correct answer.

Alijah's taxable income falls within the first bracket of the tax table given, being over $8,350 but not over $33,950.

This bracket requires him to pay a tax of $835.00 plus 15% of the amount over $8,350.

He has a surplus of $100 over the $8,350 threshold (i.e., $8,450 - $8,350), and 15% of $100 equals $15.

Therefore, the total tax he owes would be the fixed amount of $835.00 plus the $15.00 calculated, which sums up to $850.00.

Thus, looking at the provided options, option B ($850.00) would be the correct answer.

Learn more about Income Tax here:

https://brainly.com/question/34135935

#SPJ2

Answer: 30.36

Step-by-step explanation:

92% of 33 is 30.36. I don't know how Bella got 30.36 questions correct, but that is what I got.

Algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

Let's denote the amount of money the insurance company will pay as P. In this scenario, if the value of the stolen items is greater than the deductible, the insurance company will cover the loss, and Ron will receive compensation for the stolen items.

The total value of the stolen items can be calculated by adding the value of the bicycles (2b) and the value of the tools (t). So, the total value of the stolen items is 2b + t.

If the total value of the stolen items is greater than the deductible (d), then the insurance company will pay the difference between the total value and the deductible. Mathematically, this can be represented as:

P = (2b + t) - d

Therefore, algebraically, the amount of money the insurance company will pay, represented as P, is equal to the total value of the stolen items (2b + t) minus the deductible (d).

For more questions on Algebraically

https://brainly.com/question/4344214

#SPJ8

The probability that both players show rock in the first round is 1/9 or 0.1111 (rounded to four decimal places).

In rock, paper, scissors there are three possible outcomes for each player: rock, paper, or scissors. Assuming both players choose randomly and independently of each other, each player has a 1/3 chance of showing rock in the first round.

To find the probability that both players show rock in the first round, we can use the multiplication rule of probability for independent events. The multiplication rule states that the probability of the intersection of two independent events is the product of their probabilities.

Therefore, the probability that both players show rock in the first round can be calculated as follows:

P(both show rock) = P(player 1 shows rock) x P(player 2 shows rock) P(both show rock) = 1/3 x 1/3 P(both show rock) = 1/9

So the probability that both players show rock in the first round is 1/9 or approximately 0.111.

For more such question on probability

https://brainly.com/question/251701

#SPJ8

Given the Right Triangle EFG, you know that:

By definition:

Since, in this case:

You can identify that:

In order to find the hypotenuse of the Right Triangle, you need to use the Pythagorean Theorem, which states that:

Where "c" is the hypotenuse, and "a" and "b" are the legs of the Right Triangle.

You can set up that:

Therefore:

Now you can determine that:

Simplify:

You can multiply the numerator and the denominator by:

In order to Rationalize the denominator:

Hence, the answer is: Option A.