What is 2 x 3/4?

It must be !!

Answer:

Step-by-step explanation:

Let's solve for w.

s=a+lw

Step 1: Flip the equation.

lw+a=s

Step 2: Add -a to both sides.

lw+a+−a=s+−a

lw=−a+s

Step 3: Divide both sides by l

\(\frac{lw}{l} =\frac{-a+s}{l}\)

Gabriella skied for 6 hours, Let x be the number of hours that Gabriella skied. We know that she paid $35 for ski rental and $15 per hour for skiing,

for a total of $95. We can set up the following equation to represent this information:

35 + 15x = 95

Solving for x, we get:

15x = 60

x = 4

Therefore, Gabriella skied for 6 hours.

Here is a more detailed explanation of how to solve the equation:

Subtract $35 from both sides of the equation.

15x = 60

15x - 35 = 60 - 35

15x = 25

Divide both sides of the equation by 15.

15x = 25

x = 25 / 15

x = 4

Therefore, x is equal to 4, which is the number of hours that Gabriella skied.

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The linear equation in the graph is:

y = (1/2)*x + 1/2

A general linear equation is written as:

y = ax + b

Where a is the slope and b is the y-intercept.

If a line crosses through two points (x₁, y₁) and (x₂, y₂), then the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

Here we can see that the points (-3, -1) and (3, 2) are on the line, then:

a = (2 + 1)/(3 + 3) = 1/2

Then the line is.

y = (1/2)*x + b

Replacing the values of the point (3, 2) we will get:

2 = (1/2)*3 + b

2 = 3/2 + b

2 - 3/2 = b

1/2 = b

The linear equation is:

y = (1/2)*x + 1/2

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The student covers a total distance of 22.05 kilometers in a week's time, walking between the park and the house each day.

To find the total distance covered by the student in a week's time, we need to calculate the distance covered in one round trip (from the house to the park and back) and then multiply it by the number of round trips in a week.

Given that the difference between the park and house is 1 kilometer and 575 meters, we can convert it to a total distance of 1.575 kilometers.

In a round trip, the student covers twice the distance between the park and the house, which is 1.575 kilometers * 2 = 3.15 kilometers.

Now, we need to determine how many round trips the student makes in a week. Let's assume the student makes one round trip each day.

Since there are 7 days in a week, the total distance covered by the student in a week's time is 3.15 kilometers * 7 = 22.05 kilometers.

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Based on the given options, the correct answer for the confidence interval is:

c. [0.2597, 0.3403]

The confidence interval represents a range of values within which we can estimate the true population parameter with a certain level of confidence. In this case, the confidence interval suggests that the true population parameter falls between 0.2597 and 0.3403.

To calculate a confidence interval, we typically need information such as the sample mean, sample standard deviation, sample size, and a desired confidence level. Without this information, it is not possible to determine the exact confidence interval.

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The corresponding equation is 4q + 3p = 22.

What is the slope of a line ?

The ratio of the change in the y coordinate to the change in the x coordinate is known as a line's b in mathematics.

Y and X, respectively, stand for the net change in the y-coordinate and the net change in the x-coordinate. Locate two locations along the chosen line and find their coordinates.

Find the y-coordinate difference between these two places (rise). Find the difference between the x-coordinates of these two points (run). Subtract the difference in y-coordinates from the difference in x-coordinates (rise/run or slope).

The slope is defined as the relationship between the rise, or vertical change, between two points and the change, or horizontal change, between the same two points and can be represented as an equation.

Given that, coordinates are (p, 1/2) and (-8, q), slope is 3/4.

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

34 = (q - 1/2)/-8 - p

-24 - 3p = 4q - 2

4q + 3p = 22

The corresponding equation is 4q + 3p = 22.

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The value of m for the expression will be m = -2.

In mathematics, an expression is a combination of one or more numbers, variables, constants, and operators, which when evaluated, produce a value.

Expressions can include mathematical symbols such as addition, subtraction, multiplication, division, exponents, roots, logarithms, and trigonometric functions.

To isolate the term with the variable. Subtract 16 from both sides.

36 - 16 = -10m

20 = -10m

To isolate the variable.

Divide both sides by -10.

20 / (-10) = m

0-2 = m

Solve for m.

The solution is m = -2.

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The false statement among the given options is that "the degrees of freedom for a chi-square test is determined by sample size."

In reality, the degrees of freedom for a chi-square test are determined by the number of categories or groups being compared in the analysis. Specifically, the degrees of freedom are calculated by subtracting 1 from the number of categories. For example, if we are comparing three groups, the degrees of freedom would be 2 (3-1).

As for the other options, a chi-squared distribution with k degrees of freedom is more right-skewed than a chi-square distribution with k+1 degrees of freedom. This is because as the degrees of freedom increase, the distribution becomes more symmetrical.

A chi-square distribution never takes negative values, which is true. This is because it is a squared value, so it can never be negative.

Finally, the area under a chi-square density curve is always equal to 1, which is also true. This is because the total probability of all possible outcomes must equal 1.

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Answer: Percentage of infected trees =2%

Step-by-step explanation:

Number of Infected trees =7

Number of healthy trees=43

Total number of trees in the orchard=43+7=50

Percentage of infected trees =Number of Infected trees/Total number of tress in the orchard x 100

7/50 x 100 =2%

Answer:

8 4/15

Step-by-step explanation:

Rewriting our equation with parts separated

= 5 + 2/3 + 2 + 3/5

Solving the whole number parts

5 + 2 = 7

Solving the fraction parts

2/3 + 3/5 = ?

Find the LCD of 2/3 and 3/5 and rewrite to solve with the equivalent fractions.

LCD = 15

10/15 + 9/15 = 19/15

Simplifying the fraction part, 19/15,

19/15 = 1 4/15

Combining the whole and fraction parts

7 + 1 + 4/15 = 8 4/15

Answer:

Our calculator limits your interest deduction to the interest payment that would be paid on a $1,000,000 mortgage. Interest rate: Annual interest rate for this

Step-by-step explanation:

The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

According to the statement

we have to explain about the function in which cryptography takes a string of any length as input and returns a string of any requested variable length.

So, For this purpose,

we know that the

A sponge function or sponge construction is any of a class of algorithms with finite internal state that take an input bit stream of any length and produce an output bit stream of any desired length.

So from definition and its working process it is clear that for this purpose the sponge function is used.

this function returns the string of any variable length.

So, The sponge function in cryptography takes a string of any length as input and returns a string of any requested variable length.

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Given:

Principal = Rs. 6000

Rate of simple interest = 6% per annum.

Time = 4 years

To find:

The simple interest and amount.

Solution:

Formula for simple interest:

\(I=\dfrac{P\times r\times t}{100}\)

Where, P is principal, r is the rate of interest and t is the number of years.

Putting P=6000, r=6 and t=4, we get

\(I=\dfrac{6000\times 6\times 4}{100}\)

\(I=60\times 6\times 4\)

\(I=1440\)

Now,

\(Amount=Principal+Interest\)

\(Amount=6000+1440\)

\(Amount=7440\)

Therefore, the simple interest is Rs. 7440 and the amount is Rs 7440.

The equation for the circle with a center of (5,11) that passes through a radius of (9,-2) is x² + y² - 10x - 22y - 50 = 0.

The equation for a circle with center (a,b) and radius (r) is (x - a)² + (y - b)² = r².

Using the information provided, we have,

center = (5, 11)

radius = (9, -2)

The radius of a circle is the distance between its center and radius.

r = √((9 - 5)² + (-2 - 11)²)

= √(196)

= 14

Thus, the circle's equation is as follows:

(x - 5)² + (y - 11)² = 14²

When the terms are expanded and simplified, we arrive at the following equation: (x - 5)(x - 5) + (y - 11)(y - 11) = 196

x² - 10x + 25 + y² - 22y + 121 = 196

x² + y² - 10x - 22y - 50 = 0

Thus, x² + y² - 10x - 22y - 50 = 0 is the equation for the circle with center (5,11) and radius (9,-2).

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Answer:

Assuming the slide is straight - 12 feet

Step-by-step explanation:

Assuming the slide is straight - it creates a right triangle with long side 13 feet and one of the short sides of 5 feet. We need to find the other short side.

We know that:

\(x^2 + 5^2 = 13^2\\x^2 + 25 = 169\\x^2 = 144\\x = 12 \vee x = -12\textrm{; but -12 doesn't make sense}\)

Answer:

7

Step-by-step explanation:

5^2 = 5 x 5 = 25

3 x 6 is 18

25 - 18 is 7

also, use PEMDAS

Answer:

The answer is 7.

5^2-3×6.

25-18=7.

Answer:

100 people.

Step-by-step explanation:

$4,000 (total budget) - $80 (clean-up fee) = $3,920

$3,920 divided by $39 per person = 100.51

A total of 100 people could be invited for the Neely's to stay within their budget.

The greatest number is 100 people that they may invite and still stay within their budget.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have been given that they have budgeted $4,000 for their reception. If the reception hall charges an $80 cleanup fee plus $39 per​ person.

We have to determine the greatest number of people that they may invite and still stay within their budget.

Here total budget = $4,000

And clean-up fee = $80

Apply the subtraction operation,

⇒ 4,000 - 80

⇒ 3,920

We need 3,920 divided by $39 per person for finding the greatest number of people that they may invite.

⇒ 3,920/39

⇒ 100.51

Therefore, the greatest number is 100 people that they may invite and still stay within their budget.

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Answer:

definitely B is the rotation

Step-by-step explanation:

:)

Figure B is the rotation transformation.

Given are three figures we need to check which transformation is a rotation,

Rotation transformation is a mathematical operation that is used to rotate objects or coordinates in a plane or in three-dimensional space. It involves rotating an object or a point around a fixed point called the center of rotation by a certain angle.

The center of rotation can be any point in the plane. To perform a rotation transformation, each point is rotated by the given angle around the center of rotation. The resulting points after the rotation will form the rotated object.

Hence according to the definition of rotation transformation, we can say that the figure is showing a rotation transformation.

Hence the correct option is B.

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The limit, expressed as a definite integral, is ∫[2, 4]x2dx = 8/3.

Given, lim Δ→0∑ k=1n(xk∗)2Δx k; [2,4]

We can begin by using the Riemann sum to solve the given limit. The limit is defined by the following formula:

lim Δ→0∑ k=1n(xk∗)2Δxk;[2,4]

Here, we will use the following formula for the Riemann sum:

∑ k=1n(xk∗)2Δxk= ∫[2, 4]x2dx

Thus, we have the following expression:

lim Δ→0∑ k=1n(xk∗)2Δxk;[2,4]= lim Δ→0∫[2, 4]x2dxΔ

We can solve this definite integral using the formula:

∫x2dx = x3/3

Therefore, we have:

lim Δ→0∑ k = 1n(xk∗)2Δxk;[2,4] = lim Δ→0[x3/3]24 = 8/3

Therefore, the limit, expressed as a definite integral, is ∫[2, 4]x2dx = 8/3.

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Answer:

$26

Step-by-step explanation:

Step-by-step explanation:

a = 1, b = 9, c = 8

with the quadratic formula;

x = -9 + \|9² - 4(1 × 8) ÷ 2(1) or x = -9 - \|9² - 4(1 × 8) ÷ 2(1)

x = -9 + \| 81 - 32 ÷ 2 or x = -9 - \| 81 - 32 ÷ 2

x = -9 + \| 49 ÷ 2 or x = -9 - \| 49 ÷ 2

x = -9 + 7 ÷ 2 or x = -9 - 7 ÷ 2

x = -2 ÷ 2 or x = -16 ÷ 2

x = -1 or x = -8

Answer:

12.02ft

Step-by-step explanation:

the diagram is explanatory

I hope it helps

Answer:

The angle of elevation is 25.8°

Step-by-step explanation:

hypotenuse = 40; adjacent = 36 . The angle of elevation is between the 40 and 36 or the elevation from the street.

Cos x = 36/40                cos x = adjacent ÷hypotenuse

\(cos^1(x) = \frac{36}{40}\)

\(cos^1(x) = .9\)   Use the calculator: TI ( 2ndcos(.9)  enter

\(x = 25.84\)

x ≈ 25.8°

the radius of the circle is r = 12 in

the area of the circle is,

we know that the point angle of the circle is 360 degrees

so,

total area is representing 360 degrees

so,

the area of the shaded sector is,

thus, the correct answer is option D

Taxable income is a person's gross income minus allowable deductions.

The correct option is B.

As, Any gross income that is used to determine how much tax you owe is referred to as taxable income.

This is equal to your AGI less the total of either your itemized deductions or the standard deduction, whichever is greater, and, if available, the qualifying business income deduction.

So, Taxable income is a person's gross income minus allowable deductions.

Thus, the ideal solution is B.

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A 3x3 matrix that has columns spanning R^3 can be constructed by choosing three linearly independent vectors and it satisfies the desired property.

To construct a 3x3 matrix whose columns span R^3, we need to choose three linearly independent vectors. Let's consider the following matrix:

A = [[1, 0, 0],

[0, 1, 0],

[0, 0, 1]]

In this matrix, each column represents a basis vector for R^3, namely the standard basis vectors [1, 0, 0], [0, 1, 0], and [0, 0, 1]. Since these vectors are linearly independent and span R^3, the columns of the matrix A also span R^3.

To demonstrate this, consider an arbitrary vector x in R^3. We can express x as a linear combination of the columns of A by taking the coefficients as the entries of x. Let x = [x1, x2, x3]. Then, we have:

x1 * [1, 0, 0] + x2 * [0, 1, 0] + x3 * [0, 0, 1] = [x1, x2, x3]

Since x is an arbitrary vector in R^3, we have shown that the columns of A span R^3. Therefore, the matrix A satisfies the desired property.

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We are given:

An even number 'n', multiplied by the next consecutive even number is 168

Solving for n:

From the given statement, we can say that:

n(n+2) = 168                      [n multiplied by the next even number 'n+2']

n² + 2n = 168

n² + 2n - 168 = 0               [subtracting 168 from both sides]

We can see that we now have a quadratic equation, solving using splitting the middle term

n² + 14n - 12n - 168 = 0

n(n + 14) -12(n + 14) = 0      [factoring out common terms]

(n-12)(n+14) = 0

Here, we can divide both sides by either (n-12) OR (n+14)

Checking the result in both the cases:

(n + 14) = 0/(n-12)                     (n-12) = 0/(n+14)

n + 14 = 0                                 n - 12 = 0

n = -14                                      n = 12

Both these values are even and since we are not told if the number 'n' is positive or negative, both 12 and -14 are the possible values of n

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\( \cot(A) = \frac{AC}{BC} \\ \)

\( \cot(60°) = \frac{AC}{8 \sqrt{3} } \\ \)

\( \frac{1}{ \sqrt{3} } = \frac{AC}{8 \sqrt{3} } \\ \)

\( \frac{AC}{8 \sqrt{ 3} } = \frac{1}{ \sqrt{3} } \\ \)

Multiply sides by 8√3

\(8 \sqrt{3} \times \frac{AC}{8 \sqrt{3} } = 8 \sqrt{3} \times \frac{ 1 }{ \sqrt{3} } \\ \)

\(AC = 8\)

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12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. Creating equal groups or determining how many people are in each group after a fair distribution is the basic objective of division. In mathematics, division is the process of dividing a number into equal parts and calculating the maximum number of equal parts that may be formed. For instance, dividing 15 by 3 results in the division of 15 into 3 groups of 5 each.

8 inches long. into how many pieces can the sausage be cut if each piece is to be two-thirds of an inch.

Divide 8 by 2/3

8÷ 2/3

8× 3/2

12

12 pieces can the sausage be cut if each piece is to be two-thirds of an inch.

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Answer: a is 200e^.07t the answer to b is 402.75

Step-by-step explanation:

Because I got it wrong and it showed me the correct answers