What is a unit rate?
A) a rate with one in the numerator
B) a rate in which the numerator and the denominator are equal
C) a rate with one in the denominator
D) a rate in which the denominator is greater than the numerator

Answer:

60 is a composite number, that has twelve factors. They are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60. 

Step-by-step explanation:

The baker can only make peanut butter cookies and cannot make any chocolate chip cookies with the given amount of ingredients.

Let's denote the number of batches of peanut butter cookies as "x" and the number of batches of chocolate chip cookies as "y."

From the given information, we can set up the following system of equations:

For the flour:

2x + 3y = 26

For the butter:

34x + y = 9

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the elimination method:

Multiply the first equation by 17 (to make the coefficients of x in both equations the same):

34x + 51y = 442

Now we have the system of equations:

34x + y = 9

34x + 51y = 442

Subtract the first equation from the second equation:

34x + 51y - (34x + y) = 442 - 9

50y = 433

Divide both sides by 50:

y = 433/50

Since the number of batches of cookies cannot be fractional, we need to find a whole number solution for y. However, in this case, y is a fraction, indicating that the given amount of butter is not sufficient to make even one batch of chocolate chip cookies.

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Answer:

20%is the increase in the amount

9514 1404 393

Answer:

  C.  41.0, θ = 77.3°

Step-by-step explanation:

The sum is ...

  5(8, 4) -3(-3, -4) +8(-5, 1) = (5·8-3(-3)+8(-5), 5·4-3(-4)+8·1)

  = (40+9-40, 20+12+8) = (9, 40)

The magnitude is ...

  √(9² +40²) = √1681 = 41

The angle is ...

  arctan(40/9) ≈ 77.3°

The resultant magnitude and direction is 41∠77.3°.

Answer:

41.0, θ = 77.3°

This is the answer Edge 2020

The surface area of the cylindrical pottery vase is 177.55 in².

Given that a cylindrical pottery vase has a diameter of 4.3 inches and a height of 11 inches, we need to find the surface area of the vase,

SA of a cylinder = 2π×radius(h+r)

= 2×3.14×2.15(2.15+11)

= 177.55 in²

Hence, the surface area of the cylindrical pottery vase is 177.55 in².

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The required rate of simple interest is 1.75%.

Here, we have,

(Principal + Interest) is a straightforward interest equation.

A = P(1 + rt)

Where: A is the sum of the accrued principal and interest.

Principal Amount is P.

I is the interest rate.

r is the annual percentage rate of interest, or R/100.

R is the annual percentage rate of interest; R = r * 100 t is the length of time involved in months or years.

Since I = Prt,

the initial formula A = P(1 + rt) evolved from A = P + I to A = P + Prt,

which may be represented as A = P(1 + rt).

Given: Principal is $1,300

Rate is 7% and the amount earned that is A-P is $159.25.

A = P(1 + rt)

Therefore substituting the values in the above mentioned equation, we get:

159.25= 1300(1+r×7)

On solving we get,

r= 1.75%

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complete question:

At the Blue Bank, Barry would earn $159.25 in simple interest in 7 years after depositing $1,300.

What rate of simple interest is offered at the

Blue Bank?

Answer:

3

Step-by-step explanation:

Just count how many terms are there in the expression

Algebra transformation

for  Graph1 f(x)=f(x)+4

for  Graph2 f(x)=-f(x-4)

for  Graph3 f(x)=f(x-7)

for  Graph4 f(x)=f(x-2)-5

In mathematics, the reflection of a graph is a transformation that produces a mirror image of the original graph across a specific line or point. The line or point across which the reflection occurs is called the axis of reflection.

Graph1

Transform the graph by +4 units in y direction.

f(x)=f(x)+4

Graph2

Transform the graph by +4 units in x direction.

f(x)=f(x-4)

Now take the reflection of graph about x axis

f(x)=-f(x-4)

Graph3

Transform the graph by +7 units in x direction.

f(x)=f(x-7)

Graph5

Transform the graph by -5 units in y direction.

f(x)=f(x)-5

Now Transform the graph by -2 units in x direction.

f(x)=f(x-2)-5

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The required expression of the rate at which the balance is changing each time is 1450 - 60x, where x is the number of visits to the ATM.

Here,
At the beginning of the month, you have $1500 in your bank account.
Each time you visit the ATM you take $60 out of your account.
Rate of money out = 60x, where x is the number of times atm visit.
Last month you lent your friend $50.
Money left = 1500 - 50 - 60x = 1450  - 60x

Thus, the required expression of the rate at which the balance is changing each time is 1450 - 60x, where x is the number of visits to the ATM.

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Answer:

The answer to your question is given below.

Step-by-step explanation:

6x⁴ + 4x³ – 10x

The greatest common factor can be obtained as follow:

6x⁴ = 2 * 3 * x * x * x * x

4x³ = 2 * 2 * x * x * x

10x = 2 × 5 * x

Greatest common factor = 2 * x

= 2x

Thus, the expression 6x⁴ + 4x³ – 10x can be written as:

6x⁴ + 4x³ – 10x = 2x(3x³ + 2x² – 5)

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

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Answer:

S = -4

Step-by-step explanation:

-8 minus -4 is basically -8-(-4) which converts to -8+4, and the result of that is -4.

Answer:

s-4+4=-8+4

s=-4

Step-by-step explanation:

x is equal to -4

G(x) is defined instead of F(x) because the property of memoryless is expressed in terms of G(x). Next, professor refers that there is rational numbers in the set of real numbers, so rational number is dense.  G(x) is an exponential distribution with some rate parameter λ because G(x) has the memoryless property.

The reason why the function G(x) is defined as G(x) = P(X > x) = 1 - F(x) instead of just F(x) is because the memoryless property is expressed in terms of G(x).

Specifically, the memoryless property says G(s+t) = G(s)G(t), which means that the probability of X being greater than s+t is equal to the probability of X being greater than s multiplied by the probability of X being greater than t. This property is easier to work with when expressed in terms of G(x) rather than F(x).

When the professor says that taking the limit of rational numbers gives you real numbers, he is referring to the fact that the set of rational numbers is dense in the set of real numbers. This means that between any two real numbers, there exists a rational number.

In the context of the proof, this means that if G(mn) = G(t)^mn holds for all rational numbers mn, then it also holds for all real numbers x = mn, where mn is the limit of a sequence of rational numbers.

To see why G(x) = G(1)x looks like an exponential function, we can rewrite it as G(x) = e^(ln(G(1))x). Now, suppose we define λ = -ln(G(1)). Then we have G(x) = e^(-λx), which is the probability density function of an exponential distribution with rate parameter λ.

Thus, the assumption that G(x) has the memoryless property implies that G(x) is an exponential distribution with some rate parameter λ.

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Hey there!

If you want to know how much food in one day, try multiplying 1 1/4 by 4 and see what you get.

1 1/4 * 4 = 5(In four days)

1 1/4 * 3 = 3.75(In three days)

1 1/4 * 2 = 2.5(In two days)

1 1/4 * 1 = 1.25(In one day)

So one day was 1.25. Let's convert 1.25 as a fraction.

1.25 = 5/4 = 1 1/4(ANSWER)

So now you got your answer!

Hope this helped!

\(\text {-TestedHyperr}\)

Answer:

0, -12

Step-by-step explanation:

Given statement solution is :- "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)).

"f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)).

The expressions "F(g(x)) g(f(x))" and "f(g(x)) g(f(x))" are compositions of functions. The answer to the question posed would depend on the specific functions F(x) and g(x), as well as f(x) and g(x) in the second expression.

To provide a brief response:

For the expression "F(g(x)) g(f(x))": The function F(x) is composed with g(x), and the result is further composed with g(f(x)). The order of composition is F(g(x)) first, followed by g(f(x)).

For the expression "f(g(x)) g(f(x))": The function g(x) is composed with f(x), and the result is further composed with g(f(x)). The order of composition is f(g(x)) first, followed by g(f(x)).

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Regression analysis is mostly used when you want to predict a continuous dependent variable from a several number of independent variables. If the dependent variable is dichotomous, then logistic regression can be used.

If the break between the two levels of the dependent variable is nearly to 50-50%, then we can use both logistic and linear regression will end up giving you similar results.

If you have inserted the data (rather than using an established dataset), it is a nice idea to check the accuracy and the consistence of the data entry.

If you do not want to re-check all the data point, you should at least check the minimum and maximum value for all the variable to ensure that all values for each variable are "valid" or not.

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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:

20

Step-by-step explanation:

Answer:

The answer is 4 is 20% of 20

Answer:

A) ( -8, -32 )

Step-by-step explanation:

Given function : f (x,y) = 21 - 4x^2 - 16y^2

point p( 1,1,1 ) on surface

Gradient of F

attached below is the detailed solution

Answer:

5 cents each

Step-by-step explanation:

1.00 $ is equal to 100 pennies, so 100 ÷ 20 is 5, to check 5 cents times 20 is 100 cents or 1.00 $

Answer:

Step-by-step explanation:

The median is the middle point in a dataset—half of the data points are smaller than the median and half of the data points are larger. To find the median: Arrange the data points from smallest to largest. If the number of data points is odd, the median is the middle data point in the list.

The fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

To find the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9, we can set up a proportion.

Let's represent the unknown fraction as x. The ratio can be configured as follows:

x / (1/27) = (3/7) / (5/9)

To solve this proportion, we can cross-multiply:

(x * 5/9) = (3/7) * (1/27)

Simplifying the right side:

(x * 5/9) = 3/189

To eliminate the fraction on the left side, we can multiply both sides by the reciprocal of 5/9, which is 9/5:

(x * 5/9) * (9/5) = (3/189) * (9/5)

Simplifying further:

x = 27/35

Therefore, the fraction that bears the same ratio to 1/27 as 3/7 does to 5/9 is 27/35.

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Equation of parabola in vertex form is 13x² + 26x + 17

Define Parabola

A symmetrical open plane curve created when a cone and a plane that runs perpendicular to its side collide. Ideally, a projectile traveling under the pull of gravity will travel along a curve similar to this one.

Given,

vertex (h,k) = (-1, 4)

points (x,y) = (-2, 17)

We know, The equation in vertex form is

y = a(x - h)² + k

put the (h,k) values,

y = a(x - (-1))² + 4

y = a(x + 1)² + 4                     --------- eq(i)

Next, find the value of 'a' by plug in the points of (x, y) in eq(i)

y = a(x + 1)² + 4

⇒17 = a(-2 + 1)² + 4

⇒17 = a(-1)² + 4

⇒17 = a + 4

⇒a = 13

Now, substitute 'a' value in eq(i) to find the equation of parabola

y = a(x + 1)² + 4

⇒ y = 13(x + 1)² + 4

⇒ y = 13(x² + 1 +  2x) + 4

⇒ y = 13x² + 13 + 26x + 4

⇒ y = 13x² + 26x + 17

Therefore, equation of parabola in vertex form is 13x² + 26x + 17

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Partnerships often offer tax advantages over other types of business structures, such as the ability to deduct losses from the partners’ individual tax returns.

Yes, partnerships are flow-through entities, meaning that the income and losses of the partnership are “passed through” to the partners, who then report the income or losses on their individual tax returns. The partnership itself does not pay taxes on its income, and the partners have liability for the taxes due on their share of the partnership income.

The basic tax filing requirements of a partnership include filing an information return (Form 1065) and issuing Schedule K-1 to each partner to report their share of the partnership’s income or losses.

Two examples of how partnership tax rules affects businesses include:

1. In the case of a partnership, each partner is personally liable for their share of the taxes due on the partnership’s income. This means that a partner’s personal assets are at risk if the partnership cannot pay its taxes.

2. Partnerships often offer tax advantages over other types of business structures, such as the ability to deduct losses from the partners’ individual tax returns. This can provide a benefit to the partners, as long as their share of the income is not too high.

Therefore, Partnerships often offer tax advantages over other types of business structures, such as the ability to deduct losses from the partners’ individual tax returns.

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We know that the area of a rectangle is given by the formula A = l × w, where A is the area, l is the length, and w is the width.

In this case, we are given that the width is 10 meters and the area is 150 square meters. So, we can plug in these values into the formula to find the length:

150 = l × 10

Dividing both sides by 10, we get:

15 = l

Therefore, the length of the rectangle is 15 meters.

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I don't know if you mean rounding to the HUNDRED place or the HUNDREDTHS place, but I will give you both answers.

8.162 rounded to the hundreds place - 0

8.162 rounded to the HUNDREDTHS place- 8.16

Range of the function is all real numbers less than or equal to 9.

Correct option is 4.

A quadratic function is a polynomial function with one or more variables whose highest exponent is 2. It is also called a quadratic polynomial because the highest order term of  a quadratic function is quadratic. A quadratic function has at least one quadratic term. It's an algebraic function.

Given function

f(x) = -x² - 4x + 5

Parabola opens down

Domain of a quadratic function is the set of all real numbers.

x ∈ R

vertex = (-2 , 9)

Vertex y - coordinate is 9, that is maximum

Range of the function is all real numbers less or equal to 9.
y ∈ R | y ≤ 9

Hence, The range of the function is all real numbers less than or equal to 9. is the correct statement.

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