HELP PLEASE!
Find the measurement of the angle indicated for each trapezoid.

Answer:

y=3m-3x

Step-by-step explanation:

[tex]m=x+\frac{y}{3} \\ \\ m-x=\frac{y}{3} \\ \\ y=3m-3x[/tex]

The length of the line segment IJ is 9.

In this question we find that the line segments IJ and JK are collinear, that is, part of one same line. By Euclidean geometry and algebra, we construct the following formula:

IK = IJ + JK        

IJ = IK - JK

If we know that IK = 19 and JK = 10, then the length of the missing line segment is:

IJ = 19 - 10

IJ = 9

The length of the line segment IJ is 9.

The statement is poorly formatted, correct form is shown:

The point J is on line segment IK. Given that JK = 10 and IK = 19, determine the length IJ.

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Answer:

1.) ab × ac

a × (b + c)

2.) 6m + 8

2 (3m + 4)

3.) 27d²+8d³-15d4t

27d²+8d³- (15 × 4)dt

27d²+8d³- 60dt

4.) 27m²n³p5-20m5n²p

135m²n³p - 20m × 5n²p

135m²n³p - 100mn²p

The volume of concrete required for the first 12 steps is 132.6 cubic feet

Given data

the first step requires 1.7 cubic feet of concrete

the first 4 steps require a total of 17 cubic feet

the first term = a = 1.7

4th step =  n/2 ( 2a + ( n - 1 ) d )

d is common difference

n = number of terms

17 = 4/2 ( 2*1.7 + ( 4 - 1 ) d )

17 = 2( 3.4 + 3d )

8.5 = 3.4 + 3d

5.1 = 3d

3d = 5.1

d = 1.7

sum of AP at 12th step

12th = n/2 ( 2a + ( n - 1 ) d )

12th = 6( 2 * 1.7 + ( 12 - 1 ) * 1.7)

12th = 6 (3.4 + 11 * 1.7)

12th = 6 * 22.1

12th = 132.6 cubic feet

The volume of concrete required for the first 12 steps is 132.6 cubic feet

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Answer:

See below

Step-by-step explanation:

y = 3x-2        switch x's and y's    then solve for y

x = 3y-2

x+2 = 3y

y = (x+2) / 3    <===== this is  f^-1 (x)

Now you can try the one posted in the picture.....

Answer:

1. 11,207.23

2. 11,285.58

3. 11,303.49

4. 11312.52

I don't know if the last one is correct

The Ferris wheel in discuss which has 15 cars that are equally spaced around the circumference as described rotates 24° between successive cars being at the bottom.

It follows from the task content that the Ferris wheel in discuss has 15 cars spaced around it.

Since the Ferris wheel in discuss is circular and has a total angle measure of 360.

Hence, the total angle rotated between successive cars can therefore be evaluated as;

Angle rotated = 360°/15

= 24°.

Ultimately, The Ferris wheel in discuss which has 15 cars that are equally spaced around the circumference as described rotates 24° between successive cars being at the bottom.

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Answer:

437 33473333336575848

Answer:

4x + 1.9 = 22.2

22.2 - 4x = 1.9

Answer choice:  C & E.

Step-by-step explanation:

Glad to help.

put the unknown price of the four tire patches as x,

and for all, it should add up to $22.20 and you're to subtract $1.90.

The points of the graph are (0,-2), (4,1) and they are drawn on the graph below. The graph of the equation y= (3/4)x – 2 is a straight line.

The totality of the points in the plane with the form (x, f(x)) that make up the graph of a function f. The graph of y = f is another name for the graph of f. (x). Thus, the graph of an equation serves as a particular illustration of the graph of a function.

The given equation is

f(x)= ¾ x-2

Put x=0 in the equation

y = (¾)(0)-2

y = -2

Put x=4 in the equation

y = (3/4) (4)-2

y = 3-2

y = 1

Graph the points of the function on a graph as given below

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Based on the fixed costs and the equilibrium point, the function for total costs would be TC = 300 + 100VC

The total cost that a company incurs for making a good or service is a combination of both the fixed cost and the variable cost.

The total variable cost is found as:

= Number of units produced x variable cost per unit

= 100 units x vc

= 100vc

The total cost would therefore be:

= Fixed cost + Total variable cost

= 300 + 100vc

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Answer:

Step-by-step explanation:

Point slope form y-y₁ = m(x-x₁)

-5 - (-6) = m(9 - 1)

1 = m(8)

1/8 = m

y= 1/8x + b

-6 = 1/8(1) + b

b = -6.125

y = 1/8x -6.125

Step-by-step explanation:

A car rental company's standard charge includes an initial fee plus an additional fee for each mile driven. The standard charge S (in dollars) is given by the function =S+16.950.60M, where M is the number of miles driven.

The company also offers an option to insure the car against damage. The insurance charge I (in dollars) is given by the function =I+4.900.15M.

Let C be the total charge (in dollars) for a rental that includes insurance. Write an equation relating C to M. Simplify your answer as much as possible.

The mistake is that in both numbers 0.304 and 0.340, 4 is in the tenth position following the point.

The combination of numerical variables and operations expressed by the addition, subtraction, multiplication, and division signs is known as a mathematical expression. A place-value system gives a number's specific location within a series a value.

Karin's softball batting average is 0.304, whereas Cheryl's is 0.340. They have the same average, according to Karin.

Because the numbers 0.340 and 4 are in the tenth position, as opposed to 0.304 and 4, the values are different from one another.

He made a mistake in his estimation because both averages are equal.

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Answer: Maybe you have to divide $525 over 5 friends so you will get how much each one gets.

Step-by-step explanation:

the line is perpendicular to

y = 2x.

and it goes through the point (1, 2).

the point-slope form looks like

y - y1 = a(x - x1)

"a"being the slope, and (x1, y1) being a point on the line.

the slope-intercept form is

y = ax + b

"a" is again the slope, "b" is the y-intercept (the y value when x = 0).

as you can see, we need the slope of the new line in both cases.

then we will start with the point-slope form, and transform it into the slope-intercept form.

the slope of a line is generally the ratio (y coordinate change / x coordinate change) when going from one point on the line to another.

it is always the factor of x.

we can see it is 2 for the original line. that means 2/1.

a perpendicular slope is turning the x and y values upside down, and is flipping the sign.

so, in our case it is

-1/2

so, starting with the new slope and the point to create the point-slope form :

y - 2 = -1/2 × (x - 1)

and from there we transform into the slope-intercept form :

2y - 4 = -x + 1

2y = -x + 5

y = (-x + 5)/2 = -1/2 x + 5/2 = -1/2 × (x - 5)

all of the expressions in the last line are valid forms to write it.

Answer:

Step-by-step explanation:

|2x+4|=8

2x+4=8 and 2x+4=-8

x=2 and x=-6

Answer:

45.83/100

Step-by-step explanation:

assuming all participate in a language

German=1/6

French=3/8

Italian=remaining percentage=a

1/6+3/8+a=1

8/48+18/48+a=1

a=48/48-26/48

a=45.83/100

Answer:

C - 8.2*10^-2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

10^-2 = 0.01

0.01 × 8.2 = 0.082

Answer:

c = -4

Step-by-step explanation:

c³ = -64

∛c³ = ∛-64

c = -4

Check:

-4 *-4 * -4 = -64

Answer:

$191.69

Step-by-step explanation:

Answer: K=6 is correct

Step-by-step explanation:

If you substitute 6 for k and then multiply -7 the answer equals correctly!

The time that you will arrive in Nashville is 1:33.

From the information given, the person leaves Knoxville at 11:13, and the journey takes 2 hours and 20 minutes.

Therefore the time when the person will arrive will be the addition of the time given.

This will be:

= 11:13 + 2:20

= 1:33

Therefore, the person will arrive by 1:33.

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Answer:

No.

Step-by-step explanation:

Blue will be done cleaning the room at 6:00PM, while Red will be done by 4:00AM.

The height of the tank is h = 216/s^2, the surface area is s^2 + 864/s and the value of s is ∛432

The given parameters are

Volume = 216

Base length = s

Height = h

The base shape is a square.

So, we have

Volume = s^2h

This gives

216 = s^2h

Divide through by s^2

h = 216/s^2

Hence, the height of the tank is h = 216/s^2

This is calculated as

A = s^2 + 4sh

So, we have

A = s^2 + 4 * s * 216/s^2

Evaluate

A = s^2 + 4 * s * 216/s^2

This gives

A = s^2 + 864/s

Here, we have

A = s^2 + 864/s

Differentiate

A' = 2s - 864/s^2

Set to 0

2s - 864/s^2 = 0

Divide through by s

2 - 864/s^3 = 0

So, we have

864/s^3 = 2

This gives

2s^3 = 864

Divide by 2

s^3 = 432

Take the cube root

s = ∛432

Hence, the value of s is ∛432

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Answer:

i. 13/40

Step-by-step explanation:

i. [tex]5 \div 8 + 3 \div - 10[/tex]

Taking LCM of 8 & 10, we get 40

[tex]25 - 12 \div 40[/tex]

So, we get 13/40

The answers are given below:-

a) The exponential function is: [tex]y(t) = 500e^{-0.0117593}[/tex]

b) The rule is: [tex]y(t) = y(0)(\dfrac{358}{500})^{\frac{t}{8}[/tex]

c) The half-life of the element is of 16.599 days.

The mathematical expression  [tex]f(x) = e^x[/tex] denotes the exponential function. The phrase typically refers to the positive-valued function of a real variable, unless otherwise specified.

Following t days, the substance's amount's exponential function is given by:

[tex]y(t) = y(0)e^{-kt}[/tex]

For this problem, we have that:

y(0) = 500, y(8) = 358.

Hence we can solve for k as follows:

[tex]y(t) = y(0)e^{-kt}[/tex]

[tex]358=500e^{-8k}[/tex]

[tex]e^{-8k}=\dfrac{358}{500}[/tex]

[tex]lne^-8k}=ln0.716[/tex]

-8k = ln(0.716)

k = -ln(0.716)/8

k = 0.041759389.

Hence:

[tex]y(t) = 500e^{-0.0117593}[/tex]

For item b, 358/500 of the material is what is left over after each 8-day period, therefore f(t) = t/8, and the rule is as follows:

[tex]y(t) = y(0)(\dfrac{358}{500})^{\frac{t}{8}[/tex]

For item c, using the rule from item a, we have to find t for which y(t) = 0.5y(0), hence:

[tex]y(t) = y(0)e^{-0.0117593}[/tex]

[tex]0.5y(0)=y(0)e^{-0.0117593[/tex]

[tex]e^{-0.0117593}=0.5[/tex]

[tex]lne^{-0.0117593}=ln0.5[/tex]

-0.041759389t = ln(0.5)

t = -ln(0.5)/0.041759389

t = 16.599.

The half-life of the element is of 16.599 days.

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The value of the frequency for grade C from given table of final grade is 8.

As given,

Given frequency table is:

Grade:                                   A                 B               C             D              F

Frequency:                            4                7                ?              3              2

Relative Frequency:  16.70%          29.20%      33.30%     12.50%     8.30%  

Cumulative Frequency:       4                  11             19           22            24

Given records: A, A, A, A, B, B, B, B, B, B, B, C, C, C,C, C, C, C, C,D,D,D, F,F

Here : frequency of grade C is 8 times

or Cumulative frequency (19-11=8).

Therefore, the value of the frequency for grade C from the given table of final grade is 8.

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Step-by-step explanation:

x = number of km bus from A drives until they meet.

y = number of km bus from B drives until they meet.

x/80 is the time for the bus from A to reach the meeting point.

x/70 is the time for the bus from B to reach the meeting point.

both times must be equal, as they start at the same time.

so,

x/80 = y/70

but then we also know that together they have traveled the full 52 km to meet.

so,

x + y = 52

x = 52 - y

with that we go into the first equation :

(52 - y)/80 = y/70

(52 - y)/8 = y/7

7×(52 - y)/8 = y

7×(52 - y) = 8y

364 - 7y = 8y

364 = 15y

y = 364/15 km = 24.26666666... km

x = 52 - y = (780-364)/15 = 416/15 = 27.73333333... km

they will meet after (using bus from B)

364/15 / 70/1 = 364/1050 hours

= 182/525 hours =

= 60×182/525 = 10920/525 minutes =

= 728/35 = 104/5 = 20.8 minutes =

= 20 minutes 60×8/10 seconds =

= 20 minutes 48 seconds

control (using bus from A) :

416/15 / 80/1 = 416/1200 hours =

= 26/75 hours =

= 60×26/75 = 1560/75 minutes =

= 104/5 = 20.8 minutes

correct.