Mathew Barzal signed a 3 year / $21,000,000 contract with the New York Islanders, including a $1,000,000 signing bonus, $21,000,000 guaranteed, and an annual average salary of $7,000,000. In 2022-23, Barzal will earn a base salary of $10,000,000, while carrying a cap hit of $7,000,000.

Answer:

The answer is X=6 ABC=30 CBD=30

Answer:

x = 21

ABC = 105

CBD = 75

Step-by-step explanation:

3x + 12 + 5x = 180

8x + 12 = 180

8x = 168

x = 21

3(21) + 12 = 75

5(21) = 105

The number of grains on square 13 will be 4096 grains.

No. of grains on the first square = 1 = 2^0

No. of grains on the second square = 2 = 1*2 = 2¹

No. of grains on the third square = 4 = 2*2 = 2²

No. of grains on the fourth square = 8 = 2*4 = 2³

From the pattern it could be seen that amount of wheat is doubled for every next square

So, the number of grains in the nth square = 2^n-1

Therefore, No. of grains on 13th square

= 2^13 -1

= 4096

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Answer:

there are 2 apples in the basket

there are 10 banana in the basket

Step-by-step explanation:

According to the Question,

let x for apple And y for banana So, x+y=12---Equation 1

Thus, 5x+7y=80 ----Equation 2

Now, (Equation 1) × 5 Subtract with (Equation 2) We get,

2y = 20 ⇒ y=10 (there are 10 banana in basket)

5x+70=80 ⇔ x=2(there are 2 apples in basket)

The process you are referring to is called "simple random sampling."

Simple random sampling is a statistical method of selecting a sample from a population in which every possible sample of a given size has an equal chance of being selected. This means that each member of the population has an equal probability of being chosen for the sample, and every possible combination of individuals has an equal chance of being selected. This method of sampling is often used in scientific research and surveys to obtain a representative sample of the population.

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Since 4 and 5 have a least common denominator of 20, we can convert both fractions to have a denominator of 20:

-17/4 * 5/5 = -85/20, 32/5 * 4/4 = 128/20, -85/20 - 128/20 = -213/20

A fraction is referred to as the portion of a whole in mathematics. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers. The depiction of fractions appears easier than when decimal values are used.

A fraction is used to denote a portion or component of a whole. It stands for the proportionate pieces of the whole. The numerator and denominator are the two components that make up a fraction. The numerator is the number at the top, and the denominator is the number at the bottom.

To simplify:

-4 and 1/4 - 6 and 2/5

For the two mixed integers, we must identify a common denominator. The least frequent multiple of 4 and 5 is 20 since their prime components are 2 and 5. Both mixed numbers can be transformed into improper fractions with a denominator of 20 as follows:

-4 and 1/4 = -17/4

6 and 2/5 = 32/5

Now we can subtract these fractions:

-17/4 - 32/5

We must locate a common denominator in order to subtract fractions. Since 4 and 5 have a least common denominator of 20, we can convert both fractions to have a denominator of 20:

-17/4 * 5/5 = -85/20

32/5 * 4/4 = 128/20

We can now take the two fractions apart:

-85/20 - 128/20 = -213/20

Therefore, -4 and 1/4 - 6 and 2/5 simplify to -213/20.

So, the answer is negative 213 over 20.

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The amount needed for retirement, rounded to the nearest cent, is option b. $398,407.85.

To determine the amount needed for retirement, we can use the present value formula for an annuity. In this case, we want to calculate the present value of the monthly withdrawals of $2,154 for 30 years, with a monthly interest rate of 5.1%.

First, we need to convert the interest rate to a monthly decimal rate. We divide 5.1% by 100 to get 0.051, and then divide it by 12 to get 0.00425.

Next, we use the formula: PV = PMT * (1 - (1 + r)^(-n)) / r, where PV is the present value, PMT is the monthly withdrawal amount, r is the monthly interest rate, and n is the total number of withdrawals.

Plugging in the values, we have:

PV = $2,154 * (1 - (1 + 0.00425)^(-12*30)) / 0.00425

Using a calculator, we find that PV is approximately $398,407.85.

Therefore, the amount needed for retirement, rounded to the nearest cent, is option b. $398,407.85. This amount will allow the individual to make monthly withdrawals of $2,154 for 30 years from an account paying 5.1% compounded monthly.

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Answer: Polynomials are algebraic expressions that consist of variables and coefficients.

Step-by-step explanation:

Answer:

an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).

To find the probability that a randomly selected household owns both a dog and a cat, we need to calculate the intersection of the probabilities of owning a dog and owning a cat. The probability can be found by multiplying the probability of owning a dog by the probability of owning a cat, given that they are independent events.

Step 1: Calculate the probability of owning both a dog and a cat.

Given that owning a dog and owning a cat are independent events, we can use the formula for the intersection of independent events:             P(A ∩ B) = P(A) * P(B).

Let P(D) be the probability of owning a dog (0.30) and P(C) be the probability of owning a cat (0.20). The probability of owning both a dog and a cat is P(D ∩ C) = P(D) * P(C) = 0.30 * 0.20 = 0.06.

Therefore, the probability that a randomly selected household owns both a dog and a cat is 0.06 or 6%.

Step 2: Explanation and Reasoning

To find the probability of owning both a dog and a cat, we rely on the assumption of independence between dog ownership and cat ownership. This assumption implies that owning a dog does not affect the likelihood of owning a cat and vice versa.

Using the information provided, we know that 30% of households own a dog, 20% own a cat, and 60% own neither. Since the question asks for the probability of owning both a dog and a cat, we focus on the intersection of these two events.

By multiplying the probability of owning a dog (0.30) by the probability of owning a cat (0.20), we obtain the probability of owning both (0.06 or 6%). This calculation assumes that the events of owning a dog and owning a cat are independent.

In summary, the probability of a household owning both a dog and a cat is 6%, which is found by multiplying the individual probabilities of dog ownership and cat ownership, assuming independence between the two events.

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Slope = (y2-y1) / (x2-x1)

9) (7 - -6)/(-11- 17) = 13/-28

10) (-5-4)/(-4-3)= -9/-7

11) (15-14)/(17- -20) = 1/37

12) (-7 - -18) /(-1 -11) = 11/-12

From the problem statement Melanie has 10 packets of 20 biscuits

60 biscuits

Solution

Let us find 3/10 of 10 packets

= 3 packets

In one packet there are 20 biscuits,

Hence in 3 packets there will be

20*3 = 60 biscuits

From the solution above Melanie served 60 biscuits in the plate

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A vector parallel to the curve described by the vector-valued function (t) when t = -4 is (-7, -11, -268). The t-values where l and e' are orthogonal are t = 1/2, t = 3/4, and t = -6/7.

The vector-valued function (t) = (1 + 2t, 3 - 4t, 67t) describes the curve C. To find a vector parallel to the curve when t = -4, we substitute t = -4 into the function and calculate the resulting vector. Plugging in t = -4, we get (-7, -11, -268), which represents a vector parallel to the curve at that particular point.

Next, we need to find the t-values where l and e' (two vectors) are orthogonal. Two vectors are orthogonal when their dot product is zero. Given the values t = 1/2, t = 3/4, and t = -6/7, we substitute these values into the vectors l and e' and calculate their dot product. If the dot product equals zero, it indicates orthogonality. Therefore, t = 1/2, t = 3/4, and t = -6/7 are the t-values where l and e' are orthogonal.

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The probability that Walmart's quality standard will be satisfied by average weight of a random sample of 10 bags of the Frito-Lay Fiery Mix Variety Pack is calculated using the properties of normal distribution.

The average weight of a random sample of 10 bags from the Frito-Lay Fiery Mix Variety Pack follows a normal distribution with the same mean as the individual bags (556.8g) but with a standard deviation equal to the original standard deviation divided by the square root of the sample size \(\(\frac{{1.2g}}{{\sqrt{10}}}\)\). To find the probability that the average weight falls within Walmart's demanded range (556g to 558g), we need to calculate the area under the normal curve between these two values.

To do this, we can standardize the values by subtracting the mean from each limit and dividing by the standard deviation of the sample mean. This will give us the z-scores for each limit. Using a standard normal distribution table or a statistical calculator, we can find the corresponding probabilities for each z-score. The probability between these two limits represents the chance that Walmart's quality standard will be satisfied.

Please note that the specific decimal value for the probability may vary depending on the z-table or calculator used, but it will typically be a small probability since the demanded range is relatively narrow.

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Answer:

4+(4-3y) to the power of 3, 4x(5.5+3y) since y = 3.

Step-by-step explanation:

Concluding, the algebraic expression for the word phrase "twelve more than the quotient of a number z and 4" is:

z/4 + 12.

Here we have the word phrase:

"Twelve more than the quotient of a number z and 4"

First, the quotient of a number z and 4 is given by the fraction:

z/4.

Now, the phras says "twelve more than ..."

Then we need to add 12 to our fraction, then we will get:

z/4 + 12.

Concluding, the algebraic expression for the word phrase "twelve more than the quotient of a number z and 4" is:

z/4 + 12.

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Answer:

The greatest common factor is 21,

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Answer:

no

yes

no

yes

Step-by-step explanation:

The cost of building a house with the area 5,425 square feet is $763,125.

The given function is C(x)=85,000+125x.

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.

Here, x represents the area of a house is 5,425 square feet.

Put x=5425 in the given function, that is

The total cost = C(5425)=85,000+125 × 5425

= $763,125

Therefore, the cost of building a house with the area 5,425 square feet is $763,125.

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Answer:

Step-by-step explanation:

To get the value of z, we need to reduce the system of equation into two and 2 unknowns;

Add 1 and 3:

y - 12y + z + 8z = 2+12

-11y + 9z = 14 ....... 4

Also Multiply equation 1 by 3 and subtract from 2

Eqn 1 * 2 will give 3x + 3y + 3z = 6

Subtract from eqn 2;

3y-(-2y)+3z-2z = 6-(-8)

5y+z = 14 ....5

Solve 4 and 5

-11y + 9z = 14 * 5

5y+z = 14 * 11

________________

-55y + 45z = 70

55y + 11z = 154

Add both

45z+11z = 70+154

56z = 224

z= 224/56

z = 4

Hence the value of z is 4

Answer:

(0,0)

Step-by-step explanation:

a(-1 , 2) &  B(1, -2)

Midpoint = \((\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\\)

               \(= (\frac{-1 + 1}{2},\frac{2 - 2}{2})\\\\= (0,0)\)

Answer:

$6.79

Step-by-step explanation:

20.37 / 3 = 6.79

Answer:

6.79$

Step-by-step explanation:

If you do $20.37 divided by 3.  you get the answer $6.79

Answer:

She's, "HOT"!

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

the numerator of the exponent is the exponent of x

the denominator is the the index of the root

The length of minor arc AB is approximately 4.19 inches.

The distance that separates a circular arc's two endpoints along its curve is referred to as its "length of arc" in geometry. It is the piece of the perimeter of a circle that is captured by the curve.

The length of a minor arc AB of a circle is given by the formula:

length of minor arc AB = \((\frac{central angle}{360})\) × 2πr

where r is the radius of the circle P.

In this problem, the radius of circle P is 6 inches and the central angle intercepting minor arc AB is 40°.
Therefore, substitute these values into the formula:

length of minor arc AB =  \(\frac{40}{360}\)  × 2π(6)

length of minor arc AB =  \(\frac{1}{9}\)  × 12π

length of minor arc AB = \(\frac{4\pi }{3}\)

length of minor arc AB ≈ 4.19 inches

Therefore, the length of minor arc AB is approximately 4.19 inches.

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Answer:

7 cajas grandes y 3 cajas pequeñas  

Step-by-step explanatio:

The constant term is 8, which means that the y-intercept of the graph of g is (0, 8).

In mathematics, a function is a rule that assigns a unique output value for every input value in a set. It is a relation between a set of inputs and a set of possible outputs, with the property that each input is related to exactly one output. Functions are widely used in various fields of mathematics, science, engineering, and technology to model and analyze real-world situations, to describe how quantities depend on one another, and to solve problems.

Here,

If we set k=4, the function g(x) becomes:

g(x) = k(x+2) = 4(x+2)

The value of k affects the slope of the graph of g compared to the graph of f. In this case, since k=4, the slope of the graph of g is 4 times the slope of the graph of f.

The slope of the graph of f is 1, since the coefficient of x is 1. Therefore, the slope of the graph of g is:

4 * 1 = 4

This means that the graph of g is steeper than the graph of f.

The y-intercept of the graph of f is 2, since the constant term is 2. Setting k=4 does not affect the y-intercept of the graph of g, since the constant term remains the same:

g(x) = 4(x+2) = 4x + 8

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Answer:

Step-by-step explanation:

Y+6=3y-30

Subtract y from the left

6=2y-30

Add 30 to both sides

36=2y

Divide by 2

18=y

2x+29=4x-47

Subtract 2x

29=2x-47

Add 47

76=2x

Divide by 2

38=x