11.Use the Pythagorean Theorem to find the
unknown side length of the right triangle.
Need answer ASAP

Answer:

Scale factor

Step-by-step explanation:

You are welcome!

Answer:

scale factor

Step-by-step explanation:

dilation will make an image larger or smaller and the scale factor states by what quanitity to do so

Answer:

In order to have a linear programming problem, we must have:

Inequality constraints

An objective function, that is, a function whose value we either want to be as large as possible (want to maximize it) or as small as possible (want to minimize it).

A typical linear programming problem consists of finding an extreme value of a linear function subject to certain constraints. We are either trying to maximize or minimize the value of this linear function, such as to maximize profit or revenue, or to minimize cost. That is why these linear programming problems are classified as maximization or minimization problems, or just optimization problems. The function we are trying to optimize is called an objective function, and the conditions that must be satisfied are called constraints.

Answer:

(1, 4)

Step-by-step explanation:

Answer:

$14

Step-by-step explanation:

A $2 fee means that to even enter into the taxi, you need to pay $2.

If the taxi driver charges $4 per mile, and we need to go 3 miles, we can simply multiply 3 x 4 to get $12.

But Remember!! We need to add $2 for the fee. 12 + 2 = 14

3 miles is $14

Answer:

Kyoko's total pay is dependent and the number of hours she works is independent.

Step-by-step explanation:

Kyoko's total pay is a dependent variable because her total pay depends on how much she works, for example if she works longer her pay increases or if she works less, she gets paid less. The number of hours Kyoko works is an independent variable because no outside variable except herself is deciding to work more, thus making it an independent variable.

So just plug in the numbers (x,y) into the equations.

A) (7.5, -5)

2(7.5) -5 = 10

15 - 5 = 10 yup, this works.

Let's see if it works for other equation.

-2(7.5) + 2(-5) = 5

-15 - 10 = 5 nope, this does not work.

B) (-2.5, -5)

2(-2.5) - 5 = 10

-5 - 5 = 10 nope, doesn't work

Since it doesn't work we don't need to try for other equation.

C) (2.5, 5)

2(2.5) + 5 = 10

5 + 5 = 10 yup, this works.

Now the other equation.

-2(2.5) + 2(5) = 5

-5 + 10 = 5 and this works.

So the solution to this set is answer choice C

Since only one box contains gold, then the gold must be in Box 2.

Let's analyze the statements in each box:

Box 1 says, "The gold is not in Box 2." If this statement is true, it means the gold cannot be in Box 2.

Box 2 says, "The gold is in this box." If this statement is true, it means the gold must be in Box 2.

Box 3 says, "The gold is not in this box." If this statement is true, it means the gold cannot be in Box 3.

Now, let's consider the possibilities:

If Box 1 is true, then the gold is not in Box 2 (as stated in Box 1), and it is also not in Box 3 (since Box 3 would be false, and only one box contains the gold).

As per Box's 1 statement, the gold is not in Box 2.

If Box 3 is true, then the gold is not in Box 3 (as stated in Box 3), and it is also not in Box 2 (since Box 2 would be false, and only one box contains the gold).

Therefore, the gold must be in Box 1.

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Answer:

Mode =Li+[f1-f0/2f1-f0-f2] *h

Li=lower limit.

F1= first frequency

F0= upper frequency of first frequency.

F2= second frequency.

H= difference between class intervals.

Hope it is helpful

Answer:

Answer:

lower=34.15 upper=34.25

Step-by-step explanation:

The value of (ΣX)² for the scores 1, 5, 2 is:  

64

It is the representation of the sum of infinite or many values. And it is represented by the following symbol:

∑xi

The value of (ΣX)² for the scores 1, 5, 2 can be found by first finding the summation of the scores and then squaring the result.

Steps to follow:

Step 1: Find the summation of the scores.
            ΣX = 1 + 5 + 2 = 8

Step 2: Square the summation.
            (ΣX)² = 82 = 64

Therefore, the value of (ΣX)² for the scores 1, 5, 2 is 64.

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Answer:

y = -3/2 x + 4

Step-by-step explanation:

y-4 = -3/2 ( x-0)

y = -3/2 x + 4

We happen to have

\(\dfrac17 = \dfrac18 + \dfrac1{8^2} + \dfrac1{8^3} + \cdots\)

which is to say, the base-8 representation of 1/7 is

\(\dfrac17 \equiv 0.111\ldots_8\)

This follows from the well-known result on geometric series,

\(\displaystyle \sum_{n=1}^\infty ar^{n-1} = \frac a{1-r}\)

if \(|r|<1\). With \(a=1\) and \(r=\frac18\), we have

\(\displaystyle \sum_{n=1}^\infty \frac1{8^{n-1}} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac1{1-\frac18} = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac87 = 1 + \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots \\\\ \implies \frac17 = \frac18 + \frac1{8^2} + \frac1{8^3} + \cdots\)

Uniformly multiplying each term on the right by an appropriate power of 2, we have

\(\dfrac17 = \dfrac2{16} + \dfrac{2^2}{16^2} + \dfrac{2^3}{16^3} + \dfrac{2^4}{16^4} + \dfrac{2^5}{16^5} + \dfrac{2^6}{16^6} + \cdots\)

Now observe that for \(n\ge4\), each numerator on the right side side will contain a factor of 16 that can be eliminated.

\(\dfrac{2^n}{16^n} = \dfrac{2^4\times2^{n-4}}{16^n} = \dfrac{2^{n-4}}{16^{n-1}}\)

That is,

\(\dfrac{2^4}{16^4} = \dfrac1{16^3}\)

\(\dfrac{2^5}{16^5} = \dfrac2{16^4}\)

\(\dfrac{2^6}{16^6} = \dfrac4{16^5}\)

etc. so that

\(\dfrac17 = \dfrac2{16} + \dfrac4{16^2} + \dfrac9{16^3} + \dfrac2{16^4} + \dfrac4{16^5} + \dfrac9{16^6} + \cdots\)

and thus the base-16 representation of 1/7 is

\(\dfrac17 \equiv 0.249249249\ldots_{16}\)

and the first 10 digits after the (hexa)decimal point are {2, 4, 9, 2, 4, 9, 2, 4, 9, 2}.

Step-by-step explanation:

Today, we are going to be talking about the three-way principle of mathematics. Basically, there are three ways to solve a problem in math: verbally, graphically, or by example. In this lesson, we will discuss each of these principles by solving sample problems using each type.

Answer:

The answer to this question 6(4a-3b)

Answer:

6(4a-3b)

Step-by-step explanation:

Answer: the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

Step-by-step explanation:

Let's assume the price of one senior citizen ticket is 's' dollars and the price of one student ticket is 't' dollars.

According to the given information, on the first day, the school sold 7 senior citizen tickets and 11 student tickets, totaling $125. This can be expressed as the equation:

7s + 11t = 125 ---(1)

On the second day, the school sold 14 senior citizen tickets and 8 student tickets, totaling $180. This can be expressed as the equation:

14s + 8t = 180 ---(2)

We now have a system of two equations with two variables. We can solve this system to find the values of 's' and 't'.

Multiplying equation (1) by 8 and equation (2) by 11, we get:

56s + 88t = 1000 ---(3)

154s + 88t = 1980 ---(4)

Subtracting equation (3) from equation (4) eliminates 't':

(154s + 88t) - (56s + 88t) = 1980 - 1000

98s = 980

s = 980 / 98

s = 10

Substituting the value of 's' back into equation (1), we can solve for 't':

7s + 11t = 125

7(10) + 11t = 125

70 + 11t = 125

11t = 125 - 70

11t = 55

t = 55 / 11

t = 5

Therefore, the price of one senior citizen ticket is $10, and the price of one student ticket is $5.

The solution of each expression is

(1) (-2×-5-3)+(2×-2)  = - 10

(2) (3/4 x-1)-(1/3 x +4) = -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2 = - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6) = -5.5 x + 5.8

When two expressions are connected with the equals sign (=) in a mathematical formula, it expresses the equality of the two expressions. An equation is an algebraic statement that demonstrates two mathematical expressions are equivalent in algebra, and this is how it is most usually used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated by the symbol "equal." When two expressions are joined by an equal sign, a mathematical statement is called an equation. An equation is something like 3x - 5 = 16. By solving for x, we discover that x equals 7, which is the value for the variable.

(1) The sum of the given expressions is given as
(-2×-5-3)+(2×-2)

= -2x - 8 + 2x - 2

= -8 - 2

= - 10

(2) (3/4 x-1)-(1/3 x +4)

(-3/4) x- (1/3) x - 1 - 4

= -13/12 x -5

(3) -6.5b+11 + 3.3 b - 2

= (-6.5+ 3.3) +11 -2

= - 3.2b + 9

(4) (-3.6x+9.4)-(1.9x +3.6)

= (-3.6x-1.9x)+9.4 - 3.6

= -5.5 x + 5.8

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The derivative of f(x) is f'(x) = -2, so we can substitute these values into the formula to get δy = -2 * 0.2 = -0.4.

This problem involves using the concept of the derivative to calculate the change in the output variable y, given a small change in the input variable x.

Specifically, we are given the function y = f(x) = -2x, the value of x at which we want to evaluate the change, x = 2, and the size of the change in x, δx = 0.2.

To find the corresponding change in y, δy, we can use the formula δy = f'(x) * δx, where f'(x) is the derivative of f(x) evaluated at x.

In this case, the derivative of f(x) is f'(x) = -2, so we can substitute these values into the formula to get δy = -2 * 0.2 = -0.4.

This tells us that a small increase of 0.2 in x will result in a decrease of 0.4 in y, since the derivative of the function is negative.

This problem illustrates the concept of local linearization, which is the approximation of a nonlinear function by a linear function in a small region around a point.

The derivative of the function at a point gives us the slope of the tangent line to the function at that point, and this slope can be used to approximate the function in a small region around the point.

This approximation can be useful for estimating changes in the output variable given small changes in the input variable.

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Answer:

The correct option is;

Between 40 and 50 days

Step-by-step explanation:

The number of seeds that are produced by a plant maturing at age t, S(t), is given as follows;

S(t) = -0.3·t² + 30·t + 0.2

The proportion of plants maturing at age (t) in the plants to be engineered by the geneticist P(t) = 90000/(t + 100)

The number of seeds produced by the plants  = S(t) × P(t) = (-0.3·t² + 30·t + 0.2)×(90000/(t + 100))

To find the maximum number of seeds, we differentiate using an online tool, and equate to zero to get;

d((-0.3·t² + 30·t + 0.2)×(90000/(t + 100)))/dt = (-27000·t² - 5400000·t + 269982000)/(t + 100)² = 0

(-27000·t² - 5400000·t + 269982000)/(t + 100)² = 27000(t - 41.419)(t + 241.419)/(t + 100)² = 0

t = 41.419 or t = -241.419

Therefore, in order to maximize the production of seed of the crops of the farmer, the geneticist should select between 40 and 50 days.

The description of the transformation f(x) = 3x + 5 and r(x) = f(1/3x) is that the function f(x) is compressed horizontally by a factor of 3 to form r(x)

The equations of the functions are given as

f(x) = 3x + 5

r(x) = f(1/3x)

The equation r(x) = f(1/3x) implies that the function f(x) is compressed horizontally by a factor of 3

Hence, the description of the transformation f(x) = 3x + 5 and r(x) = f(1/3x) is that the function f(x) is compressed horizontally by a factor of 3 to form r(x)

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Answer:

The answer is 4/45 lbs

Step-by-step explanation:

To solve, simply divide 2/3 by 7 1/2.

(2/3)/ (15/2)

When you divide fractions, you need to flip the second one, then multiply.

(2/3)*(2/15)

Multiply across.

4/45

The weight of Samantha's purchase is 4/45 pounds

Answer: s and t is 4 and -4 u is (7,-22) these are coordinates

Step-by-step explanation:

Answer:

20 mph

Step-by-step explanation:

Average speed is given as total distance traveled divided by total time taken:

S = d / t

Let us find the total distance traveled.

He traveled 12 minutes (0.2 hours) at a speed of 15 mph. The distance to the grocery store is therefore:

d = s * t

d = 15 * 0.2 = 3 miles

He travels the same distance to get back home, this means that his total distance traveled is 6 miles.

Let us calculate the time taken to get home from the grocery store:

t = d /s

t = 3 / 30 = 0.1 hour

Therefore, his total time is:

t = 0.2 + 0.1 = 0.3 hours

His average speed is therefore:

s = 6 / 0.3 = 20 mph

Answer:

429

Step-by-step explanation:

Answer:

792in

Step-by-step explanation:

LxW

=24x7

=168

bxb/2 x H

=24x13/2

=156x4

=624

T= 624+168

=792in

Answer:

15625

Step-by-step explanation:

(-5) ^ 2 * (-5) ^ 4

-5 to the second power is -25

-5 to the 4th power is -625

-25 * -625 = 15625

Just multiply 25 by 625 to get 15625 because negative * negative = positive

HOPE IT HELPED

What is the first step to be performed when computing Σ(X + 2)2 option d) Sum the (X + 2) values. The first step in computing Σ(X + 2)2 is to perform the operation within the parentheses, which is adding 2 to each score. Once this is done, the resulting values of (X + 2) should be summed.

This is the explanation for the correct answer. Squaring each value (option a) or adding 2 points to each score (option b) are not the correct first steps in this calculation. Summing the squared values (option c) is also not the correct first step as the expression Σ(X + 2)2 requires summing the values before squaring them.

Therefore, the conclusion is that option d) is the correct first step in computing Σ(X + 2)2.

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the number 1 transform to R squared, by LCM method.

The least Common Multiple is referred to as LCM. The lowest number that is both a multiple of both of the other two numbers is the least frequent multiple of those two numbers. The smallest positive integers that seem to be divided by both a and b is referred to in mathematics and number theory as that of the least common multiple (LCM), or the lowest common multiple of two numbers a and b.

the number 1 transform to R squared, by LCM.

The step by step detailed solution is given below:

cosθ = √(1 - sin²θ

= √1 - (Rθ + Rθ)² / R²

Here through LCM method the denominator becomes R² and in numerator 1, it becomes multiplied by R²

= √R² - (Rθ + Rθ)² / R²

= √R² - (Rθ + Rθ)² /√ R²

= √R² - (Rθ + Rθ)² / R

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Answer:

f(x)= -1

f(x)= 3

f(x)= 7

f(x)= 11

Step-by-step explanation:

You need to add the values of x into the function

f(x)= 4(-1) + 3

f(x)= 4(0) + 3

f(x)= 4(1) + 3

f(x)= 4(2) + 3