Please help guys, I’d really appreciate it... using FOIL, solve:

(x + y + 3)(x + y - 4)

Answer:the Awnser would be d

Step-by-step explanation:

Plato

This relationship represents between f(x) and g(x) :

(g•f)(x) = 5xlog(5x) + 4log(5x) which is correct option(D).

The function is defined as mathematics expression defines a relationship between one variable and another variable.

f(x) = log(5x)

g(x) = 5x + 4

Multiply by f(x) in g(x),

(g•f)(x) = (5x + 4)f(x)

(g•f)(x) = 5xf(x) + 4f(x)

Substitute value of f(x),

(g•f)(x) = 5xlog(5x) + 4log(5x)

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Answer:

(-2, 3)

Step-by-step explanation:

Answer:

b 29

Step-by-step explanation:

because the angle b and c are the same so both are 100 and that means both angles d and e are the same so add those to angles together get 151

a triangle is equal to 180 so subtract the number 151 from 180 to get your answer then your answer will be 29

Answer:

b

Step-by-step explanation:

180=100 +51 + 29

Answer:

x ∈ 〈-∞,-5/2]∪[3,+∞〉

Step-by-step explanation:

2x²-x-15 ≥ 0

2x²+5x-6x-15 ≥ 0

x(2x+5)-3(2x+5) ≥ 0

(2x+5)(x-3) ≥ 0

so

2x+5 ≥ 0

x-3 ≥ 0

2x+5 ≤ 0

x-3 ≤ 0

solve the equation

x ≥ -5/2

x ≥ 3

x ≤ -5/2

x ≤ 3

x ∈ [3,+∞〉

x ∈ 〈-∞,-5/2]

so x ∈ 〈-∞,-5/2]∪[3,+∞〉

"All of the above" is the correct answer, as per the given conditional statements.

Conditional statements are statements that are true or false based on the truth or falsity of another statement. The following are conditional statements:

a) If it is raining, then I'll wear my hat

b) You can come only if you wear your socks

c) You should tell the truth unless you don't care about your conscience

Conditional statements are statements that relate two things together, where one thing relies on the other thing being true or false. There are a few different ways to write conditional statements. The most common format for writing conditional statements is using the “if-then” format.

A conditional statement has two parts:

If the hypothesis is true, then the conclusion must be true.

If the hypothesis is false, then the conclusion can be either true or false.

In the given question, all the options are conditional statements. Therefore, the correct answer is "All of the above".

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Answer:

qualitative and ordinal.

Step-by-step explanation:

They are both two types of qualitative data under Categorical data.

Nominal and ordinal are the levels of measurement for which data can be qualitative. Therefore, the correct option is option A, D.

A categorization that describes the type of information contained inside the importance attributed to variables is called level of measurement and scale of measure. The most well-known classification was created by psychiatrist Stanley Smith Stevens and included four levels or measurement scales: nominal, ordinal, interval, or ratio.

This system of defining several measurement levels originated within psychology and has drawn heavy criticism from academics in other fields. Additional classifications include those made by Chrisman, Mosteller, and Tukey. Nominal and ordinal are the levels of measurement for which data can be qualitative.

Therefore, the correct option is option A, D.

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Critical values of the function f(θ) = 2cos(θ) +(sin(θ))² on the interval 0≤ θ < 2π is 0 and π.

Therefore, the answer is 0 and π.

f(θ) = 2cos(θ) +(sin(θ))²

f'(θ) = -2sin(θ) +2sin(θ)cos(θ)

Critical values of f are points at which f' is zero or not defined.

For all values of θ, we can find that f'(θ) is defined.

f'(θ) = 0

-2sin(θ) +2sin(θ)cos(θ) = 0

cos(θ) - 1 = 0 or sin(θ) = 0

cos(θ) = 1

θ = nπ, n = 0, 1, 2, ...

sin(θ) = 0

θ = nπ, n = 0, 1, 2, ...

Therefore in the interval 0 ≤ θ < 2π, critical values are 0 and π.

2π is not there as it is not included in the interval.

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Answer:

The last one please.

Answer:

What angle should a ramp be?

Maximum slope for hand-propelled wheelchair ramps should be 1" of rise to every 12" of length (4.8 degree angle; 8.3% grade). Maximum slope for power chairs should be 1.5" rise to 12" length (7.1 degree angle; 12.5% grade). Minimum width should be 36" (inside rails) - (48" is ideal)

Step-by-step explanation:

Hope it helps

Answer:

90 nickels, 72 pennies

Step-by-step explanation:

0.05n+0.01p= 5.22

n+p=162

0.05(162-p)= 5.22

p= 72

n+72= 162

n=90

Individual song : $0.50

Album : $4

Money available: $15

Equation: (Part 2)

0.50s+4a =15

The product of the number of songs and the cost per song, plus the product of the number of albums and the cost per album must be equal to the money available-

Part 1.

6 songs and 3 albums

6 (0.50)+4 a = 15

Solve for a

4a = 15-3

4a=12

a=12/4

a=3

1 album and 22 songs

0.50s+4(1)=15

0.50s =15-4

0.50s =11

s=11/0.50

s= 22

30 songs and 0 albums

0.50 (30)+4 a = 15

4a=15-15

4a= 0

Part 3.

The derivative of k(x) at x = 5 is equal to the sum of the products of each individual function's derivative with the remaining functions, and is equal to 195.

The derivative of a product of two or more functions is equal to the sum of the products of each individual function's derivative with the remaining functions.

Therefore, k'(5) = f'(5)g(5)h(5) + f(5)g'(5)h(5) + f(5)g(5)h'(5).

Substituting the given values of f(5), f'(5), g(5), g'(5), h(5), and h'(5) into the equation, we get:

k'(5) = (−4)(−6)(−5) + (3)(−9)(−5) + (3)(−6)(−3) = 6 + 135 + 54 = 195.

Thus, the derivative of k(x) at x = 5 is 195.

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the probability is 5/12

To calculate the probability that the sum of the values on two fair six-sided dice is a prime number, we need to determine the number of favorable outcomes (sums that are prime) and the total number of possible outcomes.

First, let's identify the prime numbers that can be obtained as the sum of two dice:

2 (1+1)

3 (1+2, 2+1)

5 (1+4, 2+3, 3+2, 4+1)

7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1)

11 (5+6, 6+5)

There are 15 pairs whose sum is prime numbers that can be obtained as the sum of two dice.

Next, let's calculate the total number of possible outcomes when throwing two six-sided dice. Each die has 6 possible outcomes, so the total number of outcomes is 6 * 6 = 36.

Therefore, the probability that the sum of the values on two fair six-sided dice is a prime number is:

Number of favorable outcomes / Total number of possible outcomes

= 15 / 36

= 5/12

Therefore, the probability is 5/12

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Answer:

thank you for giving me points ;)

Step-by-step explanation:

So, on solving this the provided question, we can say that 150 Milliliters =0.634013 Cups

150 milliliters (abbreviated mL) is equal to 0.634 cups. This amount is approximately equivalent to 5.072 ounces. A single cup contains 8 ounces or 236.59 milliliters.

To convert milliliters to cups, the amount of milliliters needs to be divided by 236.59. For example, 150 milliliters divided into 236.59 yields 0.634 cups. If someone had 400 milliliters, 400 divided into 236.59 provides an amount of 1.691 cups.

To convert cups to milliliters, the amount of cups is multiplied by 236.59. If someone has 4 cups, 4 multiplied by 236.59 equals 946.36 millimeters. Someone with 1/2 cup has 118.295 milliliters (the result of 0.5 multiplied by 236.59).

236.59*150ML = 0.634013 Cups

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Answer:

The type of number that represents -4/2 is:

Choice B) Integer

Choice C) Rational

Step-by-step explanation:

The number -4/2 is an integer because it represents a whole number (-2) and it is also a rational number because it can be expressed as a fraction of two integers.

-4/2 is an :

Solution:

Before we make any decisions about the type of number -4/2 is, let's simplify it first.

It's the same as -2. Now, let's familiarize ourselves with the sets of numbers out there. Where does -2 fit in?

______________

This set incorporates only positive numbers and zero. So -2 doesn't belong here.

This set incorporates whole numbers and negative numbers. So -2 belongs here.

This set has integers, fractions, and decimals. So -2 does belong here too.

This is a set for numbers that cannot be written in fraction form (a/b, where b ≠ 0). So -2 doesn't belong here.

-4/2 belongs in the integer and rationals set.

Answer:

C. 19,005

Step-by-step explanation:

multipy 2,715 by 7

Answer:

53.1 degrees

Step-by-step explanation:

use sohcahtoa

sin(x) = 12/15

sin(x) = 0.8

sin-1(0.8) = 53.1301

The ratio of dividends to the average number of common shares outstanding is known as the dividend yield. It is a measure of the return on an investment in the form of dividends received relative to the number of shares held.

To calculate the dividend yield, you need to divide the annual dividends per share by the average number of common shares outstanding during a specific period. The annual dividends per share can be obtained by dividing the total dividends paid by the number of outstanding shares. The average number of common shares outstanding can be calculated by adding the beginning and ending shares outstanding and dividing by 2.

For example, let's say a company paid total dividends of $10,000 and had 1,000 common shares outstanding at the beginning of the year and 1,500 shares at the end. The average number of common shares outstanding would be (1,000 + 1,500) / 2 = 1,250. If the annual dividends per share is $2, the dividend yield would be $2 / 1,250 = 0.0016 or 0.16%.

In summary, the ratio of dividends to the average number of common shares outstanding is the dividend yield, which measures the return on an investment in terms of dividends received per share held.

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We can find the percentage of increase in the number of Magikarps that Jose captured in the lake by taking the initial number of them and subtracting it from the number that he had by the end of the day, like this:

16 - 8 = 8

Now, we just have to divide 8 by 16 and then multiply by 100, like this:

Then, his number of Magikarps increased a 50%

Answer:B

Step-by-step explanation:

Common stock $12240 and paid-in capital in excess of par value $5100.

What is the common stock?

Common stock is a sort of instrument that represents company equity ownership. Outside of the United States, the words voting share and ordinary share are also commonly used. In the United Kingdom and other Commonwealth countries, they are referred to as equity shares or ordinary shares.

Here, we have

Given:  Nexis Corp. issues 1020 shares of $12 par value common stock at $16 per share.

So $5 per share is the premium on the issued share.

The premium is commonly recorded in a paid-in capital account.

1020×12 =  $1,2240 and a premium would be recorded in common stock.

1020×5 = 5100, would be recorded in the paid-in capital account.

Hence, Common stock is $12240, and paid-in capital in excess of par value is $5100.

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Answer:

i think its 3x3x3x3x3

Step-by-step explanation:

The number 243 can be written as a repeated multiplication of 3s as follows; 3×3×3×3×3.

According to the question:

Since, 243 can be written as follows;

Therefore, The number 243 can be written as a repeated multiplication of 3s as follows; 3×3×3×3×3.

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Answer:

D. a=1 and b=4

Step-by-step explanation:

x^2-2x+(-2/2)^2 =3+(-2/2)^2

x^2-2x+(-1)^2=3+(-1)^2

x^2-2x +1 =4

(x-1)^2=4

Therefore a=1 and b=4

Answer:

4(b + 2)

Step-by-step explanation:

Given data

The expression is

( 4b + 8)

Looking at the expression, 4 is common

factor 4 out

4(b + 2)

Hence the equivalent expression is

4(b + 2)

Therefore, when a = 6, the expression a - 2 is equal to 4 that is none of the options is correct.

If a = 6, then to find the value of a - 2, we substitute 6 in place of a:

a - 2 = 6 - 2

Simplifying the expression:

a - 2 = 4

If a = 6, then the expression a - 2 would be equal to 4, not any of the given options (-36, -126, or 2). The correct answer is 4, as when we subtract 2 from 6, we get 4. Therefore, none of the given options (-36, -126, or 2) are equal to a - 2 when a = 6.

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Answer:

-5

Step-by-step explanation:

Using the definition of the derivative of a function at a point, we can show that the derivative of a constant function is equal to 0.

To understand why this is the case, recall that the derivative of a function f at a point c is defined as the limit of the difference quotient as h approaches 0:

f'(c) = lim (h -> 0) [f(c + h) - f(c)] / h

Now, let's consider a constant function f(x) = k, where k is some constant. Then, for any value of x, we have f(x) = k.

Using the definition of the derivative, we can find the derivative of f at any point c:

f'(c) = lim (h -> 0) [f(c + h) - f(c)] / h

= lim (h -> 0) [k - k] / h

= lim (h -> 0) 0 / h

= 0

Since f'(c) = 0 for all values of c, we can conclude that the derivative of a constant function is equal to 0.In conclusion, using the definition of the derivative of a function at a point, we can show that the derivative of a constant function is equal to 0. This is because the difference quotient simplifies to 0 for any constant function, regardless of the value of the constant.

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The matrix expression is \(a^-1 = [a11^{-1}, -a11^{-1} a21 a22^{-1}; 0, a22^{-1}]\)

Matrices are arrays of numbers arranged in rows and columns, and they are used to represent and manipulate data in many areas of mathematics, including linear algebra and engineering. Matrix inverse is an important concept in matrix mathematics and is represented by the symbol "\(a^{-1}\)".

When two matrices, a11 and a22, are given, the expression for the inverse of the overall matrix a can be obtained in terms of a11, a22, and a21, which is the matrix that connects a11 and a22. The expression for a^-1 can be found using the formula:

\(a^-1 = [a11^{-1}, -a11^{-1} a21 a22^{-1}; 0, a22^{-1}],\)

where a11^-1 and a22^-1 are the inverses of matrices a11 and a22, respectively.

It is important to note that for the inverse to exist, both a11 and a22 must be nonsingular, meaning that their determinants must not be zero. The matrix inverse is a useful tool for solving systems of linear equations, and it also has applications in other areas such as cryptography and computer graphics.

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