Mitch drew lines , k, and t so that and k were parallel. He labeled a pair of alternate interior angles 1 and 2. Which diagram did Mitch create?

Answer:

924.95 %

Step-by-step explanation:

9.2495 x 100% = 924.95 %

Answer:

x = 5

Step-by-step explanation:

The equation that we need to solve is:

(S + 2*S)*3h = 54mi

The speed of the slower cyclist is 6 mi/h

The speed of the faster cyclist is 12 mi/h.

Let's define S as the speed of the slower cyclist, thus 2*S will be the speed of the other cyclist.

They travel in opposite directions, and after 3 hours the travel a combined distance of 54 miles, then we can write the equation:

(S + 2*S)*3h = 54mi

With that equation, we can determine the speeds of the cyclists.

Solving for S we get:

(S + 2*S)*3h = 54mi

3*S = 54mi/3h = 18 mi/h

S = (18 mi/h)/3 = 6 mi/h

Then the speed of the slower cyclist is 6 miles per hour, and the speed of the faster cyclist is twice that, so it is 2*6 mi/h = 12 miles per hour.

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The mixed number as an improper fraction is 37/8

The diameter is give as:

Diameter = 4 5/8

Next we convert the above number to an improper fraction

The numerator is calculated as

Numerator = 8 * 4 + 5

This gives

Numerator = 37

Hence, the mixed number as an improper fraction is 37/8

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Answer:

One child weighs 120lbs, and the other weighs 40lbs.

Step-by-step explanation:

Assuming that you meant "Two" instead of "Do", there are two children that weigh 160 pounds together. If we know that one child weighs 120lbs more, we know that the other child has to weigh 40lbs using the equation below where x represents the weight of the second child:

120 + x = 160

Subtract 120 from both sides

x = 40

FINAL ANSWER: One child weighs 120lbs, and the other weighs 40lbs.

Answer:

Denominator

Step-by-step explanation:

The Denominator is under the fraction bar. The numerator is above the bar

Answer:

Denominator

Step-by-step explanation:

Denominator: The number below the fraction bar in a fraction; it tells the total number of equal parts.

I hope this image helps.

The value for which the ball's height is 28 feet are 0.817sec and 1.683sec using quadratic equations.

What is a quadratic equation?

ax^2 + bx + c = 0

where x represents an unknown, and a, b, and c represent known figures, where a ≠ 0. is still, not quadratic, as there's no ax^2 term,( If a = 0( and b ≠ 0) also the equation is direct.)

Given,

h(0)=6 ft (six)

v(0)=40 ft/sec (fourty)

h(t)=6+40t-16t2 (equation)

for h=28 ft(twenty eight)

28=6+40t-16t2 (equation)

or 16t2 - 40t + 22 = 0 (equation)

or 8t2 - 20t + 11= 0(equation)

on solving the quadratic equation

t=0.817sec and 1.683sec (answer)

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The graph of the equation (y = x ) is attached below and this can be determined by using the point-slope form of the line.

Given :

A line with a slope of 1 that passes through the point (2,2).

The following steps can be used in order to sketch the graph a line with a slope of 1 that passes through the point (2,2):

Step 1 - First, determine the equation of the line that passes through the point (2,2) and has a slope of 1

Step 2 - Point-slope form can be used in order to determine the equation of a line.

y-y1 = m(x- x1)

where m is the slope and (x1, y1)  is the point on the line.

Step 3 - Substitute the known terms in the above formula.

y-2 = 1(x-2)

Step 4 - Simplify the above equation.

y-2=x-2

x=y

Step 5 - Now, graph the above equation. The graph of the equation

(y = x ) is attached below.

                                                                                                                         For more information, refer to the link given below:

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Answer: no, no, no, yes

Step-by-step explanation:

Hello!

Just take each value of "u" and multiply it by 4. If the answer is smaller than 32, it is a solution. If not, it isn't a solution.

Answer:

8

Step-by-step explanation:

(4/5)/(1/10)

oreja

take the top most number and bottom most number, multiply the two. Then multiply the two middle numbers.

(4*10)/(5*1)

Simplify and you get:

40/5

=8

Answer:so dividing you add a extra zero behind the dot or point while multiplying you decrease the decimal to a whole number

if it is right pls give me brainliest

Step-by-step explanation:The relationship between 0.8 divided by 10^2  and 0.8x10^2 is that  0.8 divided by 10^2 means you add extra zero to the dot like this 0.008 so what it mean is that  10^2 is to add extra zeros in front of the point or dot in 0.8  while 0.8x10^2 decreases the zero like this 80 so we remove the 0 in 0.8 which mean 0.8 is no longer a decimal but a whole number now and then add a extra zero because 10^2  mean  add two zeros so if you see a number infornt of 10^  like 2 is how many zeros you add. so you add to extra zeros to 0.8 which decreases

Answer:

40

Step-by-step explanation:

another answer to something elsse it might help Solve for x x-4=10. x − 4 = 10 x - 4 = 10. Add 4 4 to both sides of the equation. x = 10+ 4 x = 10 + 4. Add 10 10 and 4 4. x = 14 x = 14.

Answer:X=40

Step-by-step explanation:

Answer:

63 and 16,000

Step-by-step explanation:

Answer:

$14

Step-by-step explanation:

The tie costs x.

The shirt costs x + 29

Together they cost $57.

x + x + 29 = 57

2x + 29 = 57

2x = 28

x = 14

Answer: $14

Answer:

14

Step-by-step explanation:

Tie is X

Shirt is x + 29

So,

X+X+29= 57

2x+29= 57

57-29= 2x

28=2x

X= 14

So tie is 14 bucks

Answer: a) 24 b) infini

Step-by-step explanation: a) parce que tu peut faire que 24 somme pour faire 23. B) infini car tout plus haut 100 fonctione

Answer:

11 inches of wire will cost 66 cents

Step-by-step explanation:

14 inches - 84 cents

find unit rate by dividing 84 by 14

84/14=6

so is is 6 cents per inch

so multiply 6 by 11

11 inches of wire will cost 66 cents

The area of triangle XYZ is of 13.3 units².

The missing information are the vertices of the triangle, given as follows:

The area of a triangle is given by half the base multiplied by the height, that is:

A = 0.5bh

For this problem, the have that the base is the length of segment XZ, which is found applying the distance between two points as follows:

[tex]b = \sqrt{(1 + 3)^2+(-1 - 2)^2}[/tex]

b = sqrt(25)

b = 5.

The height is the distance between the midpoint of XZ and Y. The midpoint of XZ(mean of the coordinates) is (-1, 0.5), hence the height is:

[tex]h = \sqrt{(-1 - 3)^2+(4 - 0.5)^2}[/tex]

h = sqrt(4² + 3.5²)

h = 5.32.

Thus the area of the triangle is given by:

A = 0.5 x 5 x 5.32 = 13.3 units².

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Answer: f(x)=(-6x-2)/3

Step-by-step explanation:

f(x)= 6x-2

f(x)= (6x-2)*1/3       ==>Vertical compression

f(x)=(6x-2)/3

f(x)=(6(-x)-2)/3      ==> reflection over y-axis is when x is being negated

f(x)=(-6x-2)/3

Using the given histogram, we have that 90% of the players in the sample have scores that are less than 2300.

This problem is incomplete, but researching it on a search engine, we have that the histogram states as follows:

The problem then asks the proportion of players in the sample with scores that are less than 2300.

An histogram is a graph that shows the number of times each element of x was observed.

In the missing information section, we already gave the amounts presented by histogram, and we have that 45 out of 50 players have scores that are less than 2300, hence the proportion is given by:

p = 45/50 = 0.9.

Thus 90% of the players in the sample have scores that are less than 2300.

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

Work Shown:

i = 28

r = 8% = 0.08

t = 3 months = (3/12) year = 0.25 year

-----------

i = P*r*t

28 = P*0.08*0.25

28 = P*0.02

P = 28/0.02

P = 1400

Side notes:

Answer:

See below

Step-by-step explanation:

Here is one possible mistake:

Let y= u = ( 2ax^2 +c)^2          expand

        4 a^2 x^4  + 4 a x^2 c   + c^2

  dy/ dx   then becomes  

16 a^2 x^3 + 8 a x c  <====== you have  8 a^2x^3 + 8axc  

   MAYBE ??

[tex]y = (2ax^2 + c)^2 (bx^2 - cx)^{-1}[/tex]

By the product rule,

[tex]\dfrac{dy}{dx} = \dfrac{d(2ax^2+c)^2}{dx} (bx^2-cx)^{-1} + (2ax^2+c)^2 \dfrac{d(bx^2-cx)^{-1}}{dx}[/tex]

For the first derivative on the right side, let [tex]u=2ax^2+c[/tex]. Then by the chain rule,

[tex]\dfrac{d(2ax^2+c)^2}{dx} = \dfrac{du^2}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = \dfrac{du^2}{du}\dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2u \dfrac{du}{dx} \\\\ ~~~~~~~~~~~~~~~~~~ = 2(2ax^2+c) \dfrac{d(2ax^2+c)}{dx}[/tex]

and by the power rule, this reduces to

[tex]\dfrac{d(2ax^2+c)^2}{dx} = 2 (2ax^2+c) (4ax) \\\\ ~~~~~~~~~~~~~~~~~~ = 8ax (2ax^2 + c)[/tex]

For the other derivative, let [tex]v = bx^2-cx[/tex]. Then

[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = \dfrac{dv^{-1}}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = \dfrac{dv^{-1}}{dv}\dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -v^{-2} \dfrac{dv}{dx} \\\\ ~~~~~~~~~~~~~~~~~~~~ = -(bx^2-cx)^{-2}\dfrac{d(bx^2-cx)}{dx}[/tex]

which reduces to

[tex]\dfrac{d(bx^2-cx)^{-1}}{dx} = -(bx^2 - cx)^{-2} (2bx - c)[/tex]

So one expression for the derivative we want is

[tex]\dfrac{dy}{dx} = 8ax (2ax^2 + c) (bx^2-cx)^{-1} - (2ax^2+c)^2 (bx^2 - cx)^{-2} (2bx - c)[/tex]

Answer:

no it is not proportional...

Step-by-step explanation:

5 miles/40 minutes is 1/8

3 miles/27 minutes is 1/9...

a) The length of the side AB is approximately 11.276 meters.

b) The area of the base of the pyramid is approximately equal to 6.161 square meters.

c) The volume of the pyramid is equal to 16.429 cubic meters.

a) The picture shows a pyramid with a triangular base, the triangle has one obtuse angle and the length of the side AB can be found by the law of the sine:

6 / sin 110° = AB / sin 30°

AB = 6 × (sin 30° / sin 110°)

AB ≈ 3.193 meters

The length of the side AB is approximately 11.276 meters.

b) First, find the length of the side AC:

6 / sin 110° = AC / sin 40°

AC = 6 × sin 40° / sin 110°

AC ≈ 4.104 meters

Second, determine the area of the triangular base by Heron's formula:

s = 0.5 · (AC + BC + AB)

s = 0.5 · (4.104 m + 6 m + 3.193 m)

s = 6.649 m

A = √[s · (s - AC) · (s - BC) · (s - AB)]

A = √[6.649 · (6.649 - 4.104) · (6.649 - 6) · (6.649 - 3.193)]

A ≈ 6.161 square meters

The area of the base of the pyramid is approximately equal to 6.161 square meters.

c) The volume of the pyramid can be found by using the following expression:

V = (1 / 3) · A · h

Where:

If we know that A ≈ 6.161 square meters and h = 8 meters, then the volume of the pyramid is:

V = (1 / 3) · (6.161 m²) · (8 m)

V = 16.429 m³

The volume of the pyramid is equal to 16.429 cubic meters.

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Answer:

equation: x + 50 = 180

solution x = 130

Step-by-step explanation:

supplementary: angles that add to 180

50 +  x = 180

180 - 50 = 130

x = 130

Answer:

the equation is x+50=180

solution is 130

Step-by-step explanation:

A straight line is 180 degrees so 180-50=130

So the equation is x+50=180

solution is 130

101011 in base 2 is equal to 43 in base 10

The the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4].

The mid-point of a line segment is a point on the line segment which divides it into two equal parts.

Given is a line segment AB whose mid-point is M with a and b being the coordinates of A and B respectively. Further, Q is the midpoint of AM and T is the midpoint of QM.

[Refer to the image attached for clear explanation]

Since M is the mid-point of AB, therefore the coordinates of point M will be = M [(a + b)/2]

Now, Q is the mid-point of AM. Therefore, the coordinates of Q will be =

[(a + b)/2 + a]/2 = Q [(3a + b)/4]

and

T is the mid-point of QM. Therefore, its coordinates will be =

(a + b)/2 + (3a + b)/4 = T [(5a + 3b)/4]

Hence, the the coordinates of Q and T in terms of a and b is -

Q [(3a + b)/4] and T [(5a + 3b)/4]

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Answer :

1) If x = 6

Substitute 6 for x in the expression.

a) 5x-9

5(6)-9

30-9

21

b) 2x-7

2(6) -7

12-7

5

c) 8x+5

8(6)+5

48+5

53

d) 4(x+3)

4(6+3)

4(9)

36

e) x²-(-4)

6²-(-4)

36+4

40

f) 3x²+1

3(6²)+1

3(36) +1

108+1

109

2) Solve

a) 54 = 3x

Divide both sides by 3.

54/3 = 3x/3

x = 18

b) x-9 = -3

Add 9 to both sides.

x-9+9 = -3+9

x = 6

c) x/7 = 140

Express the 140 over 1 and cross multiply.

x/7 = 140/1

x = 140×7

x = 980

d) x/8 = 72

Express the 72 over 1 and cross multiply.

x/8 =72/1

x = 72×8

x = 576