For j(x) = 4x − 2, find j of the quantity x plus h end quantity minus j of x all over h period

Given:

To find: The value of x (box)

Explanation:

Multiplying 30 on both sides. We get,

Solving we get,

Thus, the value of x is 24.

Final answer: The missing value is 24.

John's paycheck is $2,000.

According to the question,

We have the following information:

John saves 2/5 of his take-home pay.

After 6 paychecks, he has saved $4,800.

Now, let's take John's paycheck to be $x.

Now, 2/5 of this paycheck will be $2x/5.

So, this is the amount saved from 1 paycheck of John.

Now, to find the amount saved in 6 paychecks will be:

6*(2x/5)

Now, we can equate this to the amount saved by John after 6 paychecks.

6*(2x/5) = $4,800

12x/5 = 4800

12x = (4800*5)

x = (4800*5)/12

Now, dividing 4800 by 12:

x = 400*5

x = $ 2000

Hence, the correct option is C ($2,000).

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Answer

x = √6

Explanation

We will first sketch this triangle.

Let the short leg of the triangle be x

In a right-angle triangle, the side opposite the right angle is the Hypotenuse, the side opposite the given angle that is non-right angle is the Opposite and the remaining side is the Adjacent.

So, after noting the three sides in a right triangle, we will then use trignometric ratios to solve for any of the unknown. If the non-right-angle angle given is θ, the trignometric ratios in short forms are written as

SOH, CAH and TOA

SOH means Sin θ = (Opp/Hyp)

CAH means Cos θ = (Adj/Hyp)

TOA means Tan θ = (Opp/Adj)

So, the one to be used depends on the sides of the triangle that are provided.

For this triangle, using the angle 60° as the non-right-angle angle

Hypotenuse = ?

Opposite = 3√2

Adjacent = x

Angle = 60°

TOA means Tan θ = (Opp/Adj)

Tan 60° = (3√2)/x

Tan 60° = √3

Tan 60° = (3√2)/x

√3 = (3√2)/x

Cross multiply

x = (3√2)/(√3)

x = (√3) (√2)

x = √6

Hope this Helps!!!

Answer:

x = √6

Step-by-step explanation:

Solution

step 1

Explain similarity

Both triangles are similar therefore the ratio of their corresponding sides must be equal.

Step2

State the corresponding sides

Step 3

Find x

Hence option A

The answer is 75%

Answer:

  x = 3

Step-by-step explanation:

Given the sequence x, 7, 11, 15, ... 399, where 399 is the 100th term, you want to know the first term, x.

The differences of the first few terms are ...

  11 -7 = 4

  15 -11 = 4

This suggests an arithmetic sequence with a common difference of 4.

The first term, x, will be 4 less than the second term:

  x +4 = 7

  x = 7 -4 = 3

The value of x is 3.

__

Check

The n-th term of an arithmetic sequence with first term a1 = 3 and common difference d = 4 is ...

  an = a1 +d(n -1)

  an = 3 +4(n -1) = 4n -1

Then the 100th term is ...

  a100 = 4(100) -1 = 399 . . . . consistent with the given information

R90° transformation results in an image point that is (6, -8).

The plane is divided into four infinite areas known as quadrants, each of which is bounded by two half-axes, using two-dimensional Cartesian axes.

These are commonly numbered from 1 to 4, and are denoted by Roman numerals: the coordinates for I are I (+, +), II (-, +), III (-, -), and IV (+, -).

We are aware that there are four quadrants: I (x, y), II (-x, y), III (-x, -y), and IV (-x, -y) (x, -y)

We can infer that the points are in quadrant III from the supplied point, which is (-6, -8). (-x, -y).

Now, if we turn right 90 degrees and enter sector IV (x, -y), the supplied point will change to (6, -8)

hence, following the transformation of R90°, we have the image point is (6, -8).

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Respuesta:

Si el número de yardas (Y) es igual al número de pies (F) dividido por 3, entonces podemos establecer la siguiente ecuación:

La gráfica de esta ecuación es una linea recta con pendiente 1/3 y que pasa por el origen, como sigue:

The length of the rafter when the architect design a house is 12.778m.

The information illustrates that the architect designs a house that is 10 m wide and that the rafters holding up the roof are equal length and meet at an angle of 65°.

The rafters extend 0.4 m beyond the supporting wall. Then, the length will be:

cos65° = BC / AC

cos 65° = (5 + 0.4)/x

cos 65° = 5.4/x

x = 5.4 / 0.4226

x = 12.778m

The length is 12.778m

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All the three person earn $230.75 in all.

What is mean by Addition?

The process of combining two or more numbers is called the Addition.

Given that;

You earn in selling items = $35.50

Newton earn 5 times as much you.

Descartes earns 0.1 times as much as Newton does.

Now,

You earn in selling item = $35.50

Newton earn in selling = 5 x $35.50

                                   = $177.5

Descartes earn in selling = 0.1 x $177.5

                                      = $17.75

So, Total earn = $35.50 + $177.5 + $17.75

                     = $230.75

Therefore, All the three person earn $230.75 in all.

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The reflection across x-axis has the following rule applied

The rotation of 180° about the origin has the rule

In this case, the new image are not the same, that is to say

Therefore, they are not the same.

The monthly payment of $310 compounded monthly at 8% and 3% will have a principal of $15,288.71 and $17,252.23 respectively

The monthly payment is the amount paid per month to pay off the loan in the time period of the loan. When a loan is taken out it isn't only the principal amount, or the original amount loaned out, that needs to be repaid, but also the interest that accumulates.

In order to solve this question, we can use the formula of monthly payment we can use a simple formula for that

[tex]A = p \frac{r(1+r)^n}{(1+r)^n-1}[/tex]

In the first scenario, we can find the monthly payment at 8%

Substituting the values into the equation and solve

The principal at 8% is $152888.71 and the principal at 3% is at $17252.23

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Answer:

the answer is 3.5 i think

8+3+3+1+7+4+1+4+4= 35

35/10=3.5

We have the following equation:

y - 4 = 1/3 (x + 2)

We clear y in order to be more unterstandable:

y - 4 = 1/3 (x + 2)

y = 1/3 (x + 2) + 4

y = 1/3 x + 2/3 + 4

y = 1/3 x + 2/3 + 12/3

y = 1/3 x + 14/3

In order to find the answer we are going to determine x value when y = 4:

y = 1/3 x + 14/3

4 = 1/3 x + 14/3

4 - 14/3 = 1/3 x

12 - 14 = x

-2 = x

Then, it passes through the point (-2 , 4), so we can discard options A and B (because it doesn't pass through (2, 4))

We know a linear equation is given by:

y = mx + b, where m and b are numbers: m is the slope of the line and b the y-intercept.

In this case y = 1/3 x + 14/3, the slope is 1/3. We know m is given by

m = Δy/Δx

Since in this case

m = 1/3 = Δy/Δx

Then

Δx = 3 and Δy = 1

That means that if it changes 3 units on the x-axis, then it changes 1 unit on the y-axis

Answer:

A: (-3,0)

B:(-3,-5)

C:(-6,0)

Step-by-step explanation:

invert the signs on all numbers to flip it 180 degrees, then add 4 to each y point to translate up 4

therefore the center of the hyperbole is (0,0) and it's symmetry axis is the y-axis and the x-axis. The intercepts are (0,-1) and (0,1)

1) Gathering the data

282 miles

2 1/2 hour We can rewrite that as 2.5

2) Let's use a proportion, or rather a formula for that

282 miles ------- 2.5

x -------------------- 1

2.5x = 282

x=282 /2.5

x =112.8 miles per hour

In one 1 hour, this train is able to get 112.8 miles if this train maintains its velocity

Given:

The change in volume by time is, (dV/dt) = 10 cubic feet per minute.

The diameter and height of the right circular one are equal, 2r = h.

Height of the pile is, h = 21 ft.

The objective is to find the rate of increase in height of the pile.

Explanation:

The general formula of volume of cone is,

From the given data, radius of the cone can be calculated as,

Substitute the value of r in equation (1).

To find rate of increase in height of the pile:

Now, differentiate equation (2) with respect to time t.

Substitute (dV/dt) and h in equation (3).

On plugging the obtained values in eqation (3),

Hence, the rate of increase in height of the pile is 0.029 ft/min.

Consequently, it costs $62.70 to make cupcakes for two hours.

By making use of functions, We have: n(h) = 3h, The cost in terms of hours h is given by C(3h) = 60+1.35h, and Lisa's cost for making cupcakes for 2 hours is $62.70

According to the question, Lisa makes 3 dozen cupcakes an hour. To calculate how many she makes in h hours, we will apply the equality postulate as stated.

3 dozens = 1 hour

Hour = n(h)

Cross Multiplying,

n(h) × 1 = 3×h

n(h) = 3h

Therefore, n(h) = 3h is the function that predicts the number of cupcakes Lisa produces in h hours.

We shall locate the composite function C(n(h)) to obtain the cost function in hours.

C(n(h)) = C(3h) (3h)

If C(n) = 60 + 0.45n, then

By replacing n with 3h in the function as indicated, C(3h) is obtained;

C(3h) = 60+0.45(3h) (3h)

C(3h) = 60+1.35h

Thus, 60+1.35h is the cost function expressed in hours.

We will change h = 2 into the calculation C(h) = 60+1.35h to obtain the cost of baking cupcakes for 2 hours.

C(2) = 60+1.35(2) (2)

C(2) = 60+2.70

C(2) = 62.70

Consequently, it costs $62.70 to make cupcakes for two hours.

Complete Question:

Lisa specializes in baking lemon cupcakes. She bakes 3 dozen cupcakes every hour. The cost (in dollars) of making n cupcakes is given by the function C(n) = 60 + 0.45n. The function that models the number of cupcakes Lisa makes in h hours is n(h)=___. The cost in terms of hours h is given by ___. Lisa's cost for making cupcakes for 2 hours is___

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The value of the missing variable x is; x = 37

Corresponding angles are the angles which are formed in matching corners or corresponding corners with the transversal when two parallel lines are intersected by any other line.

Now, from the given problem, we see that we have two parallel lines with a transversal crossing them Thus, we can say that the two given angles are corresponding angles and as such they are congruent. Thus;

3x + 4 = 115

3x = 115 - 4

3x = 111

x = 111/3

x = 37

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flowchart proof

1) Lines m and l are parallel ------> given

2) ∠1 ≅ ∠2 -----> by alternate interior angles

3) ∠3 ≅ ∠2 -----> by vertical angles

4) ∠1 ≅ ∠3 ----> by the transitive property

Answer:

B

Step-by-step explanation:

None

The parachutes speed during free fall will be : 990 feet per second

Given: A parachute speed during a free fall = 135 miles per hour.

This means Unit rate = 135 miles per hour

= 135 × [tex]\frac{5280}{60X60}[/tex] feet per second

Because it is given that 1 mile = 5280 feet per second

= [tex]135 X \frac{5280}{3600}[/tex]

On dividing 5280 by 3600

we get:

= 135 × 1.46

= 198.00 feet per second

Thus in 5 seconds the parachutes speed during free fall will be :

990 feet per second.

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Answer

Interest = $5,250

Future value = $14,000

Explanation

Given:

Principal, P = $8,750

Rate, R = 3%

Time, T = 20 years

What to find:

The interest and future value.

Step-by-step solution:

The Interest

The interest can be calculated using the simple interest formula below.

The interest of $8,750 at 3% for twenty years is $5,250

The future value

Future value = Amount = Principal + Interest

Future value = $8,750 + $5,250

Future value = $14,000

Sebastian buy 134 cookies.  

Given,

He bought 4 boxes of shortbread cookies

and, 3 boxes of peanut butter cookies.

There are 20 shortbread cookies in each box.

but only 18 peanut butter cookies in each box.

To find the how many cookies did Sebastian buy in all?

Now, According to the question:

Formulate the above conditions:

18 x 3 + 20 x 4

Calculate the product or quotient

54 + 20 x 4

54 + 80

= 134

Hence, Sebastian buy 134 cookies.  

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First, replace f(x) by y. This is done to make the rest of the process easier.

Now, replace every x with y and a every y with an x:

Now, solve this equation for y. Then, we must move -8 to the left hand side as +8. It yields

Now, we can apply logarithms in both sides:

For the properties of logarithms, we have

then, we have

and we obtain

Finally, replace y with f^1. Then, the inverse funcion is

The graphs of the function and its inverse are:

Answer:

P = 80 units

Explanation:

Let's label some points in the triangle as:

Since the sides of the triangles are tangent to the circumference, we can write the following relationships:

XC = YC

AZ = AY

BX = ZB

So, the length of the missing side XC is equal to:

XC = YC = 14

On the other hand, the length of AB is the sum of the length of AZ and ZB, so we can calculate ZB as:

AB = AZ + ZB

26 = AY + ZB

26 = 18 + ZB

26 - 18 = ZB

8 = ZB

Because AZ and AY have the same length.

Finally, the measure of BX is equal to:

BX = ZB

BX = 8

Therefore, the perimeter of the triangle is:

Perimeter = AY + YC + AZ + ZB + BX + XC

Perimeter = 18 + 14 + 18 + 8 + 8 + 14

Perimeter = 80

So, the answer is 80 units.

Given:

Variable r

To determine the what variable r represents, we first note that it is a common way to indicate a correlation value. We also note that coefficient of determination, r^2, is simply the square of the sample correlation coefficient (i.e., r).

Therefore, variable r means:

The sample correlation coefficient