George is trying to make sure his garden is in the form of a right triangle. Which of the following side lengths would create a right triangle with side lengths of 12 m and
15 m?
O 20 m
18 m
O 9 m
7 m

Answer:

Could you add an image plz? ty

Answer:

The conversion factor to convert cups to liters is 0.237

Step-by-step explanation:

Given : A table showing conversions for common units of capacity.

                               Units of  capacity  

Customary System Units                             Metric System Units

         1 gallon                                                           3.79 liters

         1 quart                                                            0.95 liters

          1 pint                                                              0.473 liters

          1 cup                                                              0.237 liters

We have to find the  conversion factor to convert cups to liters.

Consider the given  table.

Since, given One cup is equal to 0.237 liters.

So , the conversion factor to convert cups to liters is 0.237

For example to convert 10 cups to liters, we can multiply the number of cups by 0.237 to get cups in liters.

That is 10 cup = 10 × 0.237 = 2.37 liters.

Thus, 10 cups is equal to 2.37 liters.

Hence, The conversion factor to convert cups to liters is 0.237

Please give me brainliest

Answer:

\(f {}^{ - 1} (x) = 4(x + 3)\)

Step-by-step explanation:

We would like to find the inverse of the following function .

\(\longrightarrow f(x) = \dfrac{1}{4}x +3 \)

Step 1 : Replace \(f(x) \) with \(y \) . We have

\(\longrightarrow y =\dfrac{1}{4}x +3 \)

Step 2 : Interchange x and y :-

\(\longrightarrow x = \dfrac{1}{4}y + 3 \)

Step 3 : Solve for y :-

\(\longrightarrow x - 3 =\dfrac{1}{4}y \)

Multiply both sides by 4,

\(\longrightarrow 4(x-3) = y \)

Step 4 : Replace y with f-¹(x) :-

\(\longrightarrow 4(x -3)=f^{-1}(x) \)

Interchange the sides ,

\(\longrightarrow \underline{\underline{ f^{-1}(x)= 4(x-3)}}{}\)

And we are done !

The ladder will reach a Height of approximately 43.46 meters on the building.

To find out how high on the building the ladder will reach, we can use the Pythagorean theorem. The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

In this case, the ladder forms a right triangle with the ground and the building. The base of the ladder is 7 meters, the height of the building is what we need to find, and the length of the ladder is given as 44 meters.

Using the Pythagorean theorem, we can set up the equation:

(Height of the building)^2 + 7^2 = 44^2

Simplifying the equation, we have:

(Height of the building)^2 + 49 = 1936

Subtracting 49 from both sides, we get:

(Height of the building)^2 = 1887

To find the height of the building, we take the square root of both sides:

Height of the building = √1887

Calculating the square root of 1887, we find that the height of the building is approximately 43.46 meters.

Therefore, the ladder will reach a height of approximately 43.46 meters on the building.

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Answer:

The commission rate is 15%

Step-by-step explanation:

commission = commission rate x sales

where the commission rate is expressed as a decimal.

In this case, the salesperson earned a commission of $345 for selling $2,300 in merchandise. Therefore, we have:

345 = commission rate x 2300

To solve for the commission rate, we can divide both sides by 2300:

commission rate = 345/2300

Simplifying this expression, we get:

commission rate = 0.15

So, the commission rate is 15%

Answer:

136in^2

Step-by-step explanation:

SOLUTION

From the question

Since the length is 2ft longer than trice the width, the length = 2 + 3x, since the width is given as x.

Now, the box is a cuboid. volume of a cuboid is given as

So the equation becomes

Answer:

Step-by-step explanation:

7 of 50 calculate percentage= 7/50x 100 = 14% =14/100.

Simplify 14/100= \frac{7}{50} probability.,

To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.

Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.

To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406

To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.

To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.

Therefore, the completed sequence is:

7444> →→19- → -7406 → -14831 → -22256

Each term in the sequence is obtained by subtracting 7425 from the previous term.

It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.

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Correct option is A, the iS point-slope form of the line is y+ 8 = -4(x-2). A straight line's equation can be written as both a point slope form and a slope intercept form.

A line equation written using a single line point and the slope of the line is the simplest definition of the term "point-slope form." The slope is expressed in point form as the ratio of the change in y values to the change in x values, also known as the rise over run (x, y).

The point slope form is useful when there is a slope and one or more points are present. Standard form is often easier to employ while doing algebraic computations. Depending on our needs or our level of expertise, we can alter the form of an equation. Both the point slope form and the slope intercept form can be used to express the equation for a straight line. The point slope form highlights any point on the line as well as the slope. The slope and y-intercept of a line are only shown in slope intercept form.

Given,

the slope of line = - 4 and point = (2,-8)

The equation of line = y - yo = m (x - xo)

where m = slope and x,y are coordinates

y + 8 = - 4 (x - 2)

y + 8 = - 4x + 8

y = - 4x

Therefore, the correct answer is option A, y+ 8 = -4(x-2)

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Answer:

2 4/25 hope that helped

Step-by-step explanation:

Answer:

y=-1/3 x+1

Step-by-step explanation:

Answer:

xy + y² + 3y + x + 2

Step-by-step explanation:

(x + y + 2)(y + 1)

xy + y² + 2y + x + y + 2

xy + y² + 3y + x + 2

No more like terms, so this is final answer

Answer:

2 different arrangments

The simplified expression of log_3+log_5+log_2 32 is 5log_3(20) by properties of logarithms

Using the logarithmic identity that states log (a × b) = log a + log b

we can simplify the expression as follows:

log_3+log_5+log_2 32 = log_3(2⁵) + log_5(2⁵) + log_2(2⁵)

= 5log_3(2) + 5log_5(2) + 5log_2(2)

= 5(log_3(2) + log_5(2) + log_2(2))

using the property that log_b(a) + log_b(c) = log_b(a × c)

= 5(log_3(2 × 5× 2))

= 5(log_3(20))

Therefore, the simplified expression is 5log_3(20).

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Answer:

Step-by-step explanation:

Answer:

There are 7 ways in which the formula can be evaluated to False.

Step-by-step explanation:

In order to solve this problem we will need to build a truth table. In order to build the truth table, we must start by setting the possible truth values combinations. In total there must be 8 rows, which you can see on the first three columns of the attached table.

Next, it is advisable that you divide the formula in little chunks of information that will be easier to evaluate. One column can be (p->q).

Let's evaluate that first column. In general, that column can only be false if p=T -> q=F. Which happens only on the 3dr and 4th rows of the table. The rest of the statements are true.

The next column will be (q->r). The same condition is met here, but this time you take into account the values given on the q and r columns. The false values will happen only on the 2nd and 6th rows. The rest of the rows for that collumn should be true.

Finally you can test for the whole formula. the first, 4th and 5th columns must be true for the formula to be true as well, which will happen only on the first row. The rest of the rows will have at least one false statement which makes the whole row false. So the rest of the rows are false.

(see attached picture for the whole truth table)

Answer:

→402 is not a term in the given sequence.

Step-by-step explanation:

Given sequence is 8,13,18,23,...

First term = 8

Common difference = 13-8= 5

⇛18-13=5

⇛23-18=5

Since the common difference is same throughout the sequence

⇛8,13,18,23,... are in the AP.

Let nth term = 402

We know that

nth term of an AP = an = a+(n-1)d

Now,

an = 402

⇛8+(n-1)(5) = 402

⇛8+5n-5 = 402

⇛5n+3 = 402

⇛5n = 402-3

⇛5n = 399

⇛n = 399/5

n can not be rational number it should be a positive integer.

402 is not a term in the given sequence.

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25% of the students in the seminar are shorter than 65 inches.

To find the percentage of students who are shorter than 65 inches, we first need to find the number of students whose height is less than 65 inches:

There are three students who are shorter than 65 inches: 62, 60, and 58.

Therefore, the percentage of students who are shorter than 65 inches is:

(3 students / 12 students) × 100% = 25%

Note that the value given for 1% × 5 does not appear to be relevant to this question, and is not necessary for the calculation of the percentage of students who are shorter than 65 inches.

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Answer:

I have completed the answers and attached them to the explanation.

Step-by-step explanation:

Answer:

Step-by-step explanation:

The question asks for a subtraction expression:

length is always a positive number so bigger number first here.

OB = 4-(-1)              >only moves in x direction so subtract x's

AB = 4-(-2)             >only moves in y direction so subtract y's

Answers:

==========================================

Explanation:

Answer:

0, x=0, (0,0)

Step-by-step explanation:

f(x) =4x²

y-intercept is at (0,0) because there is no term with no variable

axis of symetry is x=0, because is the y-axis

x-coordinate of the vertex is 0 because the vertex is at (0,0)

Answer:

axis of symmetry-x=0

y-int-(0,0)

vertex-(0,0)

Step-by-step explanation:

Answer:

Area of Training field is 6076m^2

Step-by-step explanation:

Solution:

Here,

Length of the training field(l) = 98m

Breadth of the training field(b) = 62m

We know,

Area of the training field = l*b = 98m * 62m = 6076m^2

Here in this question, we are to find the equation of the parabola.

Generally, the equation of a parabola is in the form;

The term (h,k) represent the coordinates of the vertex.

In this case, h = -8 and k = -7

The term 'a' is simply referred to as a multipier.

Now, we insert the coordinates of the vertex into the equation and we have the following expression;

and we have y = a(x + 8)^2 -7

To finally get the equation, we will need to calculate the value of the multiplier. The value of the multiplier can simply be calculated by substituting the value of x and y in the point through which the parabola passes.

Hence, we are substituting the values x = -7 and y = -9

So, we have;

-9 = a(-7+8)^2 -7

-9 = a(1)^2 -7

-9 = a - 7

a = -9 + 7 = -2

So our equation becomes;

y = -2(x+8)^2 - 7

we simply finish this by expanding the equation;

y = -2(x+8)(x+8) - 7

y = -2(x^2 + 16x + 64) -7

y = -2x^2 - 32x -128 -7

y = -2x^2 -32x -135

The equation of a parabola with vertex (-8, – 7) that passes through (-7, -9) is ;

The relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

3/20.

A relative frequency is calculated as the division of the number of desired outcomes by the number of total outcomes.

The total number of at bats in this problem is given as follows:

80.

In 12 of them, the pitcher threw exactly four pitches, hence the relative frequency of the pitcher throwing exactly 4 pitches in an at-bat is given as follows:

12/80 = 3/20.

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Answer:

Sonia saved 1889 from her last month's pay

Step-by-step explanation:

The equation representing the given sentence is c/7 + 8 = 3.

The sentence "Eight more than the quotient of a number and 7 is equal to 3" can be translated into an equation using the variable c for the unknown number.

The quotient of a number and 7 can be represented as c/7. "Eight more than" means adding 8 to that quotient. The equation can be written as:

c/7 + 8 = 3

Therefore, the equation representing the given sentence is c/7 + 8 = 3.

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9514 1404 393

Answer:

Step-by-step explanation:

There are vertical discontinuities in the function at x=-2, x=2, and x=4. When looking at limits, we find the function values to be different either side of those discontinuities at x = -2 and at x = 2. Thus, limits do not exist at those points (x = {-2, 2}).

At x=4, the discontinuity is in the function definition, not in the values left or right of that point. Hence the limit does exist at x=4, but the function is not continuous there.