Karim wants the shed to be at least 4 feet wide. Now what are the possible
whole number side lengths for the shed that will cover an area of 36 square
feet?

The total distance Max traveled is 8.2 feet which is found by adding  three distances together gives us the total distance Max traveled.

Distance can be measured using other units such as time, speed, or even angles.

To calculate this, we need to find the distance between Max's original position and Lindsey's position, the distance between Lindsey's position and Kenji's position, and the distance between Kenji's position and Max's original position.

The distance between Max's original position and Lindsey's position=

4.0 feet.

This is because Max was 4 feet to the left of Lindsey.

The distance between Lindsey's position and Kenji's position= 2.8 feet. This is because Kenji was 2 feet behind Lindsey and Max was 4 feet left of Lindsey.

The distance between Kenji's position and Max's original position= 1.4 feet.

This is because Kenji was 2 feet behind Max.

Adding these three distances together gives us the total distance Max traveled: 4.0 feet + 2.8 feet + 1.4 feet = 8.2 feet.

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Answer:

Hi

Please mark brainliest ❣️

Thanks

Step-by-step explanation:

Since 25 people shook hands

Therefore 25!

Which is 120

Answer:

To calculate the total number of handshakes, we can use the formula for the sum of the first n natural numbers.

The number of handshakes is equal to the sum of the first 24 natural numbers (excluding the individual's handshake with themselves) since each person shakes hands with every other person once.

The formula for the sum of the first n natural numbers is given by:

Sum = (n * (n + 1)) / 2

Applying this formula, we have:

Sum = (24 * (24 + 1)) / 2

= (24 * 25) / 2

= 600

Therefore, there were a total of 600 handshakes at the end of the party.

Answer:

11.5 foot (rounded to one decimal)

Step-by-step explanation:

x = 20×sin(35)

x ≈ 11.47153.. ≈ 11.5

Answered by GAUTHMATH

Answer:

1/ $ 4.08

2/ $675.92

Step-by-step explanation:

Take 68 times 0.06% = $4.08

680 - 4.08= 675.92

Answer:

Step-by-step explanation:

40.80 it told me the answer

Answer:

(a)   width = (x - 1)

      length = (7x - 6)

(b)  Area = 350 cm²

     Perimeter = 114 cm

Step-by-step explanation:

Given equation:  \(7x^2-13x+6\)

⇒ a = 7,  b = -13,  c = 6

Find 2 two numbers that multiply to ac and sum to b:   -6 and -7

Rewrite b as the sum of these 2 numbers:

\(\implies 7x^2-7x-6x+6\)

Factorize the first two terms and the last two terms separately:

\(\implies 7x(x-1)-6(x-1)\)

Factor out the common term (x - 1):

\(\implies (7x-6)(x-1)\)

Therefore:

Substitute the given value of x = 8 into the equations to find the area and perimeter:

\(\begin{aligned}x=8cm \implies \textsf{Area} & = 7(8)^2-13(8)+6\\& = 448-104+6\\& = 350 \sf \:\: cm^2\end{aligned}\)

\(\begin{aligned}\textsf{Perimeter} & = 2(\sf width+length)\\& =2[(x-1)+(7x-6)]\\ & = 2[(8-1)+(7(8)-6)]\\ & = 2[7+(56-6)] \\& = 2(7+50)\\& = 2(57)\\ & = 114 \sf \:\: cm\end{aligned}\)

Answer:

See below ~

Step-by-step explanation:

\(\textsf {Question 15(A) :}\)

\(\textsf {Given :}\)

\(\implies \mathsf {7x^{2} - 13x + 6}\)

\(\textsf {Splitting the middle term :}\)

\(\implies \mathsf {7x^{2} - 7x - 6x + 6}\)

\(\textsf {Grouping common terms :}\)

\(\implies \mathsf {7x(x - 1) - 6(x - 1)}\)

\(\textsf {Dimensions are :}\)

\(\textsf {Question 15(B) :}\)

\(\textsf {Formula for perimeter :}\)

\(\implies \mathsf {2 \times (length + width)}\)

\(\implies \mathsf {2 \times (7x - 6 + x - 1)}\)

\(\implies \mathsf {2 \times (8x-7)}\)

\(\textsf {Substitute x = 8 :}\)

\(\implies \mathsf {2 \times [8(8)-7]}\)

\(\implies \mathsf {2 \times (64-7)}\)

\(\implies \mathsf {2 \times 57}\)

\(\implies \mathsf {Perimeter = 114 cm}\)

\(\textsf {Now substitute x = 8 in the area formula :}\)

\(\implies \mathsf {7(8)^{2} - 13(8) + 6}\)

\(\implies \mathsf {7(64) - 104 + 6}\)

\(\implies \mathsf {448 - 98}\)

\(\implies \mathsf {Area = 350 cm^{2}}\)

Answer:

Center: (-9,16)

next time try using a app called math_way

Answer: the center is (-9,16)

\(f(f^{-1}(x))=f \left(\frac{x+6}{5} \right)=5 \left(\frac{x+6}{5} \right)-6=x+6-6=x\\\\f^{-1}(f(x))=f^{-1}(5x-6)=\frac{5x-6+6}{5}=\frac{5x}{5}=x\)

Since \(f(f^{-1}(x))=f^{-1}(f(x))=x\), the functions are inverses of each other.

The composition of functions is x, f(x) and f⁻¹(x) are inverse functions.

Inverse function is represented by f⁻¹ with regards to the original function  and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

The given functions are f(x)=5x-6 and f⁻¹(x)=(x+6)/5.

The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).

Now, h(x)=f(f⁻¹(x))

h(x)=5((x+6)/5 -6)

h(x)=x+6-6

h(x)=x

Since, the composition of functions is x, f(x) and f⁻¹(x) are inverse functions.

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Answer:

The width is 2.

Step-by-step explanation:

The equation is 2 x 3 x ? = 12.

It is 2 long

It is 3 in height

2 x 3 = 6

6 x 2 = 12

so 2 is the width.

Answer:

2

Step-by-step explanation:

its 2

Answer:

C

Step-by-step explanation:

two side and one angle are the same.

In the analyze stage of the data life cycle, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

The data life cycle is defined as the time period that that data exist in you system. Usually the data management experts finds the six or more stages in the data life cycle

The data analyst is the person who use the interpreted data and analyze the data in order to solve the problems

The analyze stage is the one of the main stages of the data life cycle. In the stage data analyst will use the spreadsheet to aggregate the data in the system and use the formulas to perform the calculations in the system

Therefore, the data analyst will use the spreadsheet to aggregate the data and use the formulas to perform the calculations

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Answer:

Step-by-step explanation:

Weight of baby goat = Weight of Jared with goat - Weight of Jared

                                  = 58.9 - 56.2

                                  =  2.7 Kg

Answer:

The number of worms Noah started with

:)  

took the test

Answer:

The number of worms Noah started with

Step-by-step explanation:

Answer:

infinite solutions

they're the same equation lm‎ao

Answer:

Infinitely many solutions

because it is the correct answer

Answer:

B. "R is 85% of the original cost."

Step-by-step explanation:

The given equation is P - 0.15P = R, where P is the original cost of the shirt and R is the discounted price that Brandon paid.

Simplifying the equation, we get:

0.85P = R

Dividing both sides by P, we get:

0.85 = R/P

Therefore, the discounted price R is 85% of the original cost P.

So, the answer is (B) "R is 85% of the original cost."

The definition of percent helps you write fraction and decimal equivalents by understanding that "per cent" means "per hundred".

For example, if you are asked to write the fraction and decimal equivalent of 25%, you would divide 25 by 100 to get the fractional equivalent of ¼, and divide 25 by 100 to get the decimal equivalent of 0.25.

The decimal equivalent of a fraction or percentage is the numerical value expressed in decimal form. For example, the decimal equivalent of 1/2 is 0.5 and the decimal equivalent of 25% is 0.25. Decimal equivalents are useful for calculations and can be used to convert fractions and percentages into decimal form.

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Answer:

Solving the inequality for a, you get:

Inequality form: a≥52

Interval notation: [52,∞)

1. Lim f(x) as x approaches -infinity. To determine the value of lim f(x) as x approaches negative infinity, we need to look at the left end of the graph of f(x). lim f(x) as x approaches -infinity is equal to positive infinity or negative infinity, respectively. If the graph of f(x) oscillates between positive and negative infinity or does not approach any value, then the limit does not exist (DNE).

2. Lim f(x) as x approaches +infinity. To determine the value of lim f(x) as x approaches positive infinity, we need to look at the right end of the graph of f(x). If the graph of f(x) approaches a specific value, then lim f(x) as x approaches +infinity exists and is equal to that value. If the graph of f(x) approaches positive infinity or negative infinity, then lim f(x) as x approaches +infinity is equal to positive infinity or negative infinity, respectively. If the graph of f(x) oscillates between positive and negative infinity or does not approach any value, then the limit does not exist (DNE).

3. Lim f(x) as x approaches a specific value. For this case, we need to look at the behavior of the graph of f(x) as x approaches the specific value. If the graph of f(x) approaches a specific value, then lim f(x) as x approaches that value exists and is equal to that value. If the graph of f(x) approaches positive infinity or negative infinity, then lim f(x) as x approaches that value is equal to positive infinity or negative infinity, respectively. If the graph of f(x) oscillates between positive and negative infinity or does not approach any value, then the limit does not exist (DNE).

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Step-by-step explanation:

t2 - t1 = t3- t2

or , 2 - X = 4.5 -2

or , X =4.5 -2 -2

:. X = 0.5

Answer:

A

Step-by-step explanation:

3(x+2)+4x=3x+6+4x=7x+6

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:

The figure below shows the graph of rational function f; It has vertical asymptotes x 2 andx = 4, and horizontal asymptote y = 0. The graph does not have an x-intercept, and it passes through the point (~3,-1). The equation for f (x) has one of the five forms shown below. Choose the appropriate form for f (x), and then write the equation: You can assume that f (x) is in simplest form_ 0 f() f() f ()

Answer:

n = 3

Step-by-step explanation:

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

The solution is, n = 3.

Subtraction is the process of taking away a number from another. It is a primary arithmetic operation that is denoted by a subtraction symbol (-) and is the method of calculating the difference between two numbers.

here, we have,

Given

4n = 2n + 6 ( subtract 2n from both sides )

2n = 6 ( divide both sides by 2 )

n = 3

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Answer:

y= -7(x + 5)

Step-by-step explanation:

The equation of the graph with slope -7 and x- intercept -5 is

y = -7x -35.

The slope intercept of a line is given by the equation y = m x+ c

y is y coordinate, x is x coordinate, m is the slope of the line

c is y- intercept of the line

c can also be found if a point on the line is given say (a, b) and slope is given .We put this point  in the given slope intercept form and find c .

Let the slope and y -intercept form equation of the given lines be

y= mx+ b

where m is slope and b is y-intercept

given that slope =-7

∴ m = -7

Then equation becomes y = -7x +b

Given that x- intercept is -5, which means that the given graph intersects the x- axis at point (-5,0)

Substitute y =0 and x= -5 in  equation y = -7x +b

⇒ 0 = -7(-5) +b

⇒0 = 35 +b

⇒-35 = b

∴ The y - intercept is -35

Thus, the equation of the given graph becomes y = -7x -35

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The area under the curve over [2,5] is 24.

Given function is f(x) = 2xIntervals [2, 5] is given and it is to be divided into subintervals.

Let us consider n subintervals. Therefore, width of each subinterval would be:

$$
\Delta x=\frac{b-a}{n}=\frac{5-2}{n}=\frac{3}{n}
$$Here, we are using right-hand end point. Therefore, the right-hand end points would be:$${ c }_{ k }=a+k\Delta x=2+k\cdot\frac{3}{n}=2+\frac{3k}{n}$$$$
\begin{aligned}
\therefore R &= \sum _{ k=1 }^{ n }{ f\left( { c }_{ k } \right) \Delta x } \\&=\sum _{ k=1 }^{ n }{ f\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ 2\cdot\left( 2+\frac{3k}{n} \right) \cdot \frac{3}{n} }\\&=\sum _{ k=1 }^{ n }{ \frac{12}{n}\cdot\left( 2+\frac{3k}{n} \right) }\\&=\sum _{ k=1 }^{ n }{ \frac{24}{n}+\frac{36k}{n^{ 2 }} }\\&=\frac{24}{n}\sum _{ k=1 }^{ n }{ 1 } +\frac{36}{n^{ 2 }}\sum _{ k=1 }^{ n }{ k } \\&= \frac{24n}{n}+\frac{36}{n^{ 2 }}\cdot\frac{n\left( n+1 \right)}{2}\\&= 24 + \frac{18\left( n+1 \right)}{n}
\end{aligned}
$$Take limit as n → ∞, so that $$
\begin{aligned}
A&=\lim _{ n\rightarrow \infty  }{ R } \\&= \lim _{ n\rightarrow \infty  }{ 24 + \frac{18\left( n+1 \right)}{n} } \\&= \boxed{24}
\end{aligned}
$$

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Given function f(x) = 2x. The interval is [2,5]. The number of subintervals, n is 3.

Therefore, the area under the curve over [2,5] is 21.

From the given data, we can see that the width of the interval is:

Δx = (5 - 2) / n

= 3/n

The endpoints of the subintervals are:

[2, 2 + Δx], [2 + Δx, 2 + 2Δx], [2 + 2Δx, 5]

Thus, the right endpoints of the subintervals are: 2 + Δx, 2 + 2Δx, 5

The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, we have to find a formula for the Riemann sum obtained by dividing the interval [2.5] subintervals and using the right hand endpoint for each ck. The width of each subinterval is:

Δx = (5 - 2) / n

= 3/n

Therefore,

Δx = 3/3

= 1

So, the subintervals are: [2, 3], [3, 4], [4, 5]

The right endpoints are:3, 4, 5. The formula for the Riemann sum is:

S = f(c1)Δx + f(c2)Δx + ... + f(cn)Δx

Here, Δx is 1, f(x) is 2x

∴ f(c1) = 2(3)

= 6,

f(c2) = 2(4)

= 8, and

f(c3) = 2(5)

= 10

∴ S = f(c1)Δx + f(c2)Δx + f(c3)Δx

= 6(1) + 8(1) + 10(1)

= 6 + 8 + 10

= 24

Therefore, the Riemann sum is 24.

To calculate the area under the curve over [2, 5], we take the limit of the Riemann sum as n → ∞.

∴ Area = ∫2^5f(x)dx

= ∫2^52xdx

= [x^2]2^5

= 25 - 4

= 21

Therefore, the area under the curve over [2,5] is 21.

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