(3.5x0.71) ÷ √8.2-7.5

The measure of the segment JK is 0 unit

A line is the shortest distance between two points

Given the following parameters

GJ = 70.2

JH = 26.5

GK = 70.2

Determine the measure of JK

JK = JG + GK

Since JG = -GJ then;

JK = -GJ + GK

JK = -70.2 + 70.2

JK = 0

Hence the measure of the segment JK is 0 unit

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A function assigns the values. The force that will be required to move the rock is 48 lbs.

A function assigns the value of each element of one set to the other specific element of another set.

A.) The inverse of the function f(x)=1/x is,

f(x) = 1/x

y = 1/x

x = 1/y

g(x)=1/x

Hence, The inverse of the function f(x)=1/x is g(x)=1/x.

B.) The force that will be required to move the rock using the momentum,

9ft × 80lbs = 15 ft × F

F = 48 lbs

Hence, The force that will be required to move the rock is 48 lbs.

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The value of y in [tex]-3 = 7\left(y-\dfrac97\right)[/tex] is 6/7

The equation is given as:

[tex]-3 = 7\left(y-\dfrac97\right)[/tex]

Open the bracket

-3 = 7y - 9

Add 9 to both sides of the equation

7y = 6

Divide both sides by 7

y= 6/7

Hence, the value of y in [tex]-3 = 7\left(y-\dfrac97\right)[/tex] is 6/7

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Complete question

Solve for y

[tex]-3 = 7\left(y-\dfrac97\right)[/tex]

The graph that matches the following system of equation is; the picture of a coordinate plane with line y equals negative 4x minus 1 and line y equals minus 3 over 2 times x plus 4. They intersect at negative 2, 7.

The graph of a function y = f(x) shows the position of the x-intercepts and y-intercepts from the graph from which the slope can be drawn.

The system of linear equations can be rewritten in slope-intercept form as follows:

y = -4x - 1

y = -3/2x + 4

From the graph, the two equations intercept at point (-2,7).

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Answer:

C

Step-by-step explanation:

9x² - 4[tex]y^{6}[/tex]

can be factored as a difference of squares , that is

(U + V)(U - V)

9x² - 4[tex]y^{6}[/tex] = (3x)² - (2y³)²

with U = 2x and V = 2y³

Answer:

U= 3x and V=2y^3

Step-by-step explanation:

9x^2= (3x)^2

4y^6 = (2y^3)^2

=(3x)^2 - (2y^3)^2

Apply this rule below

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

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

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

The value of f(x) when x = 3 is 4

The definition of the piecewise function is given as:

[tex]f(x) = \left[\begin{array}{cc}-x& x \le -1\\1&x = 0\\x + 1&x \ge 1\end{array}\right[/tex]

When x = 3, the domain is [tex]x \ge 1[/tex]

At [tex]x \ge 1[/tex], the function definition is

f(x) = x + 1

So, we have:

f(3) = 3 + 1

Evaluate

f(3) = 4

Hence, the value of f(x) when x = 3 is 4

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Complete question

A piecewise function is defined as shown.

[tex]f(x) = \left[\begin{array}{cc}-x& x \le -1\\1&x = 0\\x + 1&x \ge 1\end{array}\right[/tex]

What is the value of f(x) when x=3?

Answer:

4

Step-by-step explanation:

Answer:

Just look at the other answer

Step-by-step explanation:

Answer:

(d). [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Answer: [tex]\frac{12}{5}[/tex]

Step-by-step explanation:

Sorry this took so long.. i needed to use paint

Answer:

7.3333 hours

Step-by-step explanation:

if im wrong oh well lol 275x320=88000 divided by 200 =440 divided by 60=7.3333

Answer: 4

Step-by-step explanation:

[tex]A=7.52=\frac{1}{2}ac \sin B\\\\7.52=\frac{1}{2}(a)(6)\sin 40^{\circ}\\\\a=\frac{7.52}{\frac{1}{2}(6)(\sin 40^{\circ})}\\\\a \approx 4[/tex]

Answer:

Step-by-step explanation:

find prime factorization of 6 and 9

6 = 2 x 3

9 = 3 x 3

Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the LCM:

LCM = 2 × 3 × 3

LCM = 18

Step-by-step explanation:

Make a line like that and add the numbers 6 and 9 ( order doesn't matter).

then look for a number that can divide both of them without a remainder first which is 3.

Divide 6 and write the Answer down under it

Divide name and write the answer under it.

look for another number that can divide those answers you got. but they aren't no numbers that can divide them without remainders anymore, so you divide 2 by 2 and write down 1 and just write down the 3 back .

then divide 3 by 3 and write down the answer which is one beneath it.

(you should keep dividing until you get everything to 1)

Then multiply together all the numbers used in dividing and that is your L.C.M.

Hope this helps.

Good luck ✅.

Answer:

perimeter=80 area=252

Step-by-step explanation:

The perimeter is the total length of the boundary of the shape added together: 12+20+12+8+20+8=80

The area is the value of the space inside the shape: the rectangle would be 20*9=180 plus the two triangles: (8*9)/2 = 36 180+72=252

Answer:

p=80 a=252

Step-by-step explanation:

Add all side lengths to get the perimeter.

20+12+12+8+20+8=80

Perimeter is 80

Area of a trapezoid is average of parallel lines*height

((20+36)/2)*9=252

Area=252

Using the z-distribution, the sample sizes required are given as follows:

a) 822.

b) 1068.

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

Then, the margin of error is given by:

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

We have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

Item a:

The estimate is of [tex]\pi = 0.26[/tex], hence we solve for n when M = 0.03.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.26(0.74)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.26(0.74)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.26(0.74)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.26(0.74)}}{0.03}\right)^2[/tex]

n = 821.2

Rounding up, a sample of 822 is needed.

Item b:

No prior estimate, hence [tex]\pi = 0.5[/tex], which is when the largest sample size is needed.

[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

[tex]0.03 = 1.96\sqrt{\frac{0.5(0.5)}{n}}[/tex]

[tex]0.03\sqrt{n} = 1.96\sqrt{0.5(0.5)}[/tex]

[tex]\sqrt{n} = \frac{1.96\sqrt{0.5(0.5)}}{0.03}[/tex]

[tex](\sqrt{n})^2 = \left(\frac{1.96\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]

n = 1067.11

Rounding up, a sample of 1068 is needed.

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Answer: [tex]x\sqrt[9]{y^{2} }[/tex]

Step-by-step explanation: For all expressions in the form [tex]x^{\frac{a}{b}[/tex] , the expression is equal to [tex]\sqrt[b]{x^a}[/tex]. The denominator in a fractional exponent is the type of root it is. For example, [tex]x^\frac{1}{3}[/tex] is going to be the cubed root, or the

3rd root of x ([tex]\sqrt[3]{x}[/tex]). The numerator is what power x is raised to. For example, [tex]x^\frac{3}{2}[/tex] is going to be [tex]\sqrt{x^3}[/tex].

In fractional exponents, the square root only takes the form of the variable it is assigned to. What does that mean? Well, for [tex]xy^\frac{2}{9}[/tex], the square root only applies to the y. The x is considered a constant and can be moved out. Thus, we get [tex]x\sqrt[9]{y^2}[/tex].

Given the distance travelled and the time elapsed, the average speed of the train is approximately 1.63 miles per minutes.

Given that;

Average speed = distance traveled / elapsed time

Average speed = 75miles / 46min

Average speed = 1.63 miles per minutes

Given the distance travelled and the time elapsed, the average speed of the train is approximately 1.63 miles per minutes.

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Answer:

[tex]x=\frac{11}{18} =0.611[/tex]

Step-by-step explanation:

1) Subtract [tex]\frac{2}{9}[/tex] from both sides.

[tex]x=\frac{5}{6} - \frac{2}{9}[/tex]

2) Simplify [tex]\frac{5}{6} - \frac{2}{9}[/tex] to [tex]\frac{11}{18}[/tex].

[tex]x=\frac{11}{18}[/tex]

Decimal Form: 0.611111

Answer:

The answer shall be xy[(167/30)x-(65/14)y+(3/4)]

Step-by-step explanation:

the step is given in image given...

Answer:

a

Step-by-step

explanation:

For similar triangles ΔRST and ΔRYX proportion RY/RS = RX/RT = XY/TS is true.

Given that, for ΔRST, line XY is drawn parallel to side ST within ΔRST to form ΔRYX.

Considering ΔRST and ΔRYX.

The corresponding sides of similar triangles are proportional.

We get ∠RXY=∠RST (Corresponding angles, since XY║ST)

∠RYX=∠RTS (Corresponding angles, since XY║ST)

From AA similarity criteria ΔRST is similar to ΔRYX.

Now, RY/RS = RX/RT = XY/TS.

Therefore, for similar triangles ΔRST and ΔRYX proportion RY/RS = RX/RT = XY/TS is true.

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Answer: B i got it right

Step-by-step explanation:

Answer:

89

Step-by-step explanation:

To find the value of the

when x = 5 we substitute x = 5 into the expression.

4x^2 - 3x + 4

putting x = 5

4(5)^2 - 3(5) + 4

4(25) - 15 + 4

100 - 11 = 89

Answer:

Length = 10 inches

Width = 5 inches

Step-by-step explanation:

p = 2w + 2l

l = w + 5

30 = (2w + 2(w + 5))

30 = 4w + 10

20 = 4w

w = 5

l = w + 5

= 5 + 5

= 10

Answer:

Step-by-step explanation:

Answer:

0 BAC

Step-by-step explanation:

m BAD+m DAC=m BAC(180°)

The value of m(BAD) + m(DAC) is equal to the measure of angle BAC.

Let's use the angle addition postulate to find the value of m(BAD) + m(DAC):

The angle addition postulate states that if you have an angle formed by two rays, say ∠BAD, and  another angle formed by two rays, say ∠DAC, then the sum of their measures is equal to the measure of the angle formed by the original rays extended to meet the rays of the second angle. In other words:

m(BAD) + m(DAC) = m(BAC)

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[tex]\large\boxed{y=\frac{1}{4}x+2}[/tex]

The point-slope form is actually [tex]y-4=\frac{1}{4}(x-8)[/tex]; I assume there was a copy/paste issue.

Also, the correct answer is not in the answer choices given; again assuming a copy/paste issue.

Start by distributing the [tex]\frac{1}{4}[/tex] to [tex]x[/tex] and [tex]-8[/tex].

[tex]y-4=\dfrac{1}{4}x-2[/tex]

Add [tex]4[/tex] to both sides of the equation.

[tex]\begin{aligned}y-4+4&=\frac{1}{4}x-2+4\\y&=\frac{1}{4}x+2\end{aligned}[/tex]

The difference betweeh the two companies' moving rates is:

(f - g)(x) =  -2x + 200

Here we have two functions:

f(x) = 3x + 400

g(x) = 5x + 200

These functions represent the moving rates for two different companies.

If we want to find the difference between the moving rates, we just need to take the difference between the functions:

(f - g)(x) = f(x) - g(x) = (3x + 400) - (5x + 200) = -2x + 200

So the difference betweeh the two companies' moving rates is:

(f - g)(x) =  -2x + 200

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The best buy is from dealership A because the fees of dealership B is more expensive

For the purpose of this exercise, the add-on options to select are:

The total amount of the add-on options is:

Total = $1000 + $500 + $3500 + $500 + $750

Total = $6250

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 751.56 + 6250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 12998.44

Divide both sides by (1 + 6.75%)

x  ≤ 12176.52

The solution means that the base price of the car cannot exceed $12176.52 for dealership A

The graph of the possible base price

See attachment

The total amount of the add-on options is:

Total = $500 + $750 + $2750 + $750 + $500

Total = $5250

The inequality

This is represented using:

Base price * (1 + Tax) + Fees + Add-on total ≤ 20000

So, we have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

Solve for x

We have:

(1 + 6.75%) * x + 1524.72 + 5250 ≤ 20000

Evaluate the like terms

(1 + 6.75%) * x  ≤ 13225.28

Divide both sides by (1 + 6.75%)

x  ≤ 12389.02

The solution means that the base price of the car cannot exceed $12389.02 for dealership B

The graph of the possible base price

See attachment

Buy from dealership A because the fees of dealership B is more expensive

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Answer:

Falde

Step-by-step explanation:

the solution is at the point of intersection of the 2 lines

the lines intersect at (- 5, 1 ) , then

the solution is (- 5, 1 )

Answer:

y = [tex]\frac{1}{2}[/tex] x + 3

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0-(-6)}[/tex] = [tex]\frac{3}{0+6}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = [tex]\frac{1}{2}[/tex] x + 3 ← equation of line

Answer:

$2.26

Step-by-step explanation:

In total, you owed them 28.21, and so you can subtract the amount you paid from the total:

28.21 - 25.95 = 2.26

So, you owe them $2.26 now.

hope this helps! have a lovely day :)