if 3x-4=8 what is the value of x

Answer:

[tex]ln(e^x)=ln(3)[/tex]

[tex]x=1.099[/tex]

Step-by-step explanation:

You have the following exponential expression:

[tex]2e^x=6[/tex]

You need to divide both sides of the equation by 2:

[tex]\frac{2e^x}{2}=\frac{6}{2}\\\\e^x=3[/tex]

Now apply the function Natural logarithm to both sides of the function:

[tex]ln(e^x)=ln(3)[/tex]

Note that now the exponential function is transformed into a logarithmic function.

By definition:

[tex]ln(e^x)=x[/tex] Because the base of the Natural logarithm is the Euler's number "e".

Then you can solve for "x":

[tex]x=ln(3)\\x=1.099[/tex])

Answer:

He has 11 quarters

Step-by-step explanation:

* Lets study the information in the problem to solve it

- The value of dimes and quarters is $6.35

- There are dimes and quarters

- The dime = 10 cents

- The quarter = 25 cents

* We must change the money from dollars to cents

∵ $1 = 100 cents

∴ $6.35 = 6.35 × 100 = 635 cents

- The number of dimes = 3 + 3 × number of quarters

* Let number of dimes is D and number of quarter is Q

∴ D = 3 + 3Q

∴ 10D + 25Q = 635

* Substitute the value of D from first equation in the second equation

∴ 10(3 + 3Q) + 25Q = 635 ⇒ open the bracket

∴ 10(3) + 10(3Q) + 25Q = 635

∴ 30 + 30Q + 25Q = 635 ⇒ collect like terms

∴ 30 + 55Q = 635 ⇒ subtract 30 from both sides

∴ 55Q = 605 ⇒ divide both sides by 55

∴ Q = 11

* He has 11 quarters

Answer:

9 weeks.

Step-by-step explanation:

We need to find about how many weeks (w) it will take before Factory B has printed as many books (b) as Factory A.

In other words we need to find the value of week (w) when number of books from both factories are equal.

so set both equation equal

[tex]50w+650=100w+200[/tex]

[tex]50w-100w=200-650[/tex]

[tex]-50w=-450[/tex]

[tex]w=\frac{-450}{-50}[/tex]

[tex]w=9[/tex]

Hence final answer is 9 weeks.

It’s says factory a has printed 650 books and prints200 books just divide

Answer:

Y=-|x-2|

Step-by-step explanation:

To find which equation matches the graph, take 1 or 2 values of the line on the graph and enter the X and Y values of those points in the equations to see if they match

One good strategy is to take points that are along the axis. I'll first pick (1,-1) and will use (0,-2) to validate if one equation matches (1,-1) first.

Y=-|x|+2

for (1,-1) => -|1| + 2 = = -1 + 2 = 1 NO, should be -1

Y=-|x|-2

for (1,-1) => -|1| - 2 = = -1 - 2 = -3 NO, should be -1

Y=-|x+2|

for (1,-1) => -|1 + 2| = = -|1 + 2| = -3 NO, should be -1

Y=-|x-2|

for (1,-1) => -|1 - 2| = = -|-1 | = -1 YES

for (0,-2) => -|0 - 2| = = -|-2| = -2 YES

On dividing both the numerator and the denominator of [tex]\frac{20a^2b}{5ab^2}[/tex] by 5b, the result is [tex]\frac{4a}{b}[/tex].

In order to evaluate and solve this expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the expression to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right.

Note: Let the variable x represent the unknown expression or missing term.

Based on the information provided, we can logically set up the following mathematical equation:

[tex]\frac{20a^2b}{5ab^2} \div \frac{x}{x} =\frac{4a}{b}[/tex]

Next, we would solve the equation in parts by using the numerators and denominators as follows;

[tex]20a^2b \div x = 4a\\\\\frac{20a^2b}{x} =4a\\\\x4a=20a^2b\\\\x=\frac{20a^2b}{4a} \\\\x=5a\\\\\\\\\frac{5ab^2}{x} =b\\\\xb=5ab^2\\\\x=\frac{5ab^2}{b} \\\\x=5a[/tex]

Complete Question:

Select the correct answer from the drop-down menu.

Find the missing term.

On dividing both the numerator and the denominator of [tex]\frac{20a^2b}{5ab^2}[/tex] by ___, the result is [tex]\frac{4a}{b}[/tex].

Answer:

1. 2/3

2. 11/12

3. 4/5

4. 2/3

Step-by-step explanation:

her dance class start at quater past 4

Patti's dance class starts at a quarter past 4, which is 4:15 p.m. This term refers to 15 minutes after the hour.

This question demands basic understanding of clocks and related concepts.

Patti's dance class starts at quarter past 4, which means it starts at 4:15 p.m.. In time telling, a quarter past the hour refers to 15 minutes after the hour mark. So when you're looking at a clock, this would be the time when the minute hand is on the 3 (as there are 60 minutes in an hour and 15 minutes is a quarter of that).

Therefore, as per the above explaination, the correct answer is  4:15 p.m.

Answer:

Step-by-step explanation:

$2.770,00. Hello friend, for reach that answer you have to add all values:

200+150+250+260+285+380+200+225+200+250+220+150= 2770.

It will be easier if you do ir by parts, like:

(200+150) + (250+260) + ...

Thank you for asking!

Have a nice day.

The average pay for Tim Worker's second job income monthly is $232.50.

To calculate the average, first, sum up all the monthly incomes:

200 + 150 + 250 + 260 + 285 + 380 + 200 + 225 + 200 + 250 + 220 + 150 = $2970

Next, divide the total income by the number of months (12 in this case) to find the average:

2970 / 12 = $232.50

So, the average monthly income from Tim Worker's second job is $232.50.

To find the average income, you add up all the monthly incomes and then divide by the total number of months. In this case, adding up Tim Worker's monthly incomes gives us $2970. Then, dividing by 12 (the number of months) gives us the average monthly income of $232.50. This method ensures that each month's income contributes equally to the overall average, regardless of fluctuations in individual months. So, despite variations in Tim Worker's monthly income, the average remains consistent at $232.50 per month.

Complete question:

Tim Worker receives the following income monthly from a second job.

Jan. Feb. Mar. Apr. May June July Aug. Sept. Oct. Nov. Dec.

$200 $150 $250 $260 $285 $380 $200 $225 $200 $250 $220 $150

In dollars and cents the average pay will be?

Answer:

18

Step-by-step explanation:

write ham, turky and roast beef and draw 2 arrows from each one, the first one say soup and the second one say salad. Then from each of those draw 3 lines;one saying tea, one saying lemonade and one saying soda. Finaly label every drink by number. So you will have 18 numbers so there is 18 choises.

Answer:

The standard error of the proportion is

[tex]E=0.089[/tex]

Step-by-step explanation:

Assuming that the size of population N is large enough, and with a sample [tex]n = 30[/tex], so that:

[tex]\frac{n}{N}\leq0.05[/tex] then the standard error of the proportion is:

[tex]E = \sqrt{\frac{p(1-p)}{n}}[/tex]

Where

[tex]n = 30\\\\p= 0.6\\\\E = \sqrt{\frac{0.6(1-0.6)}{30}}\\\\E =\sqrt{\frac{0.6(0.4)}{30}}\\\\E=\frac{\sqrt{5}}{25}=0.089[/tex]

The answer is:

The correct option is the first option,

[tex]y=\frac{5}{4} (x-1)[/tex]

To solve this problem, we need to remember that the point-slope form of a line is given by the following equation:

[tex]y-y_{1}=m(x-x_{1})\\\\y-0=\frac{5}{4}(x-1)[/tex]

We are given two points of the line,

[tex](5,5)\\(1,0)[/tex]

Where,

[tex]x=5\\x_{1}=1\\y=5\\y_{1}=0\\[/tex]

Then, substituting the given points into the equation ,to calculate m (slope), we have:

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

[tex]m=\frac{5-0}{5-1}=\frac{5}{4}[/tex]

The slope of the function is [tex]\frac{5}{4}[/tex]

Now, substituting "x1" and "y1" and the slope in the point-slope equation, we have:

[tex](y-0)=\frac{5}{4} (x-1)[/tex]

[tex]y=\frac{5}{4} (x-1)[/tex]

Hence, the correct option is the first option,

[tex]y=\frac{5}{4} (x-1)[/tex]

Have a nice day!

Answer:

The correct answer is first option

y = 5/4(x - 1)

Step-by-step explanation:

It is given two coordinates (5, 5) and (1, 0)

To find the slope

Slope = (y₂ - y₁)/(x₂- x₁)

slope = (5 - 0)/(5 - 1) = 5/4

To find the equation

(y - y₁)/(x - x₁) = 5/4

(y - 0)/(x - 1) = 5/4

y = 5/4(x - 1)

The correct answer is first option

Answer:

Step-by-step explanation:

Answer:

150°

Step-by-step explanation:

To calculate the angle

angle = [tex]\frac{xsomewhatagree}{total}[/tex] × 360°

         = [tex]\frac{300}{720}[/tex] × 360° (cancel 360 and 720 by 2 )

         = [tex]\frac{300}{2}[/tex] = 150°

the formula is 1/3 area of the base times height so

14*14=106

196*6=1176

1176/3=392

392cm^3 is the anwser

Answer:

Option A. 392 cm³

Step-by-step explanation:

Formula to get the volume of a pyramid is

[tex]V=\frac{1}{3}(l)(w)(h)[/tex]

Here l = length of the base

w = width of the base

h = height of the pyramid

From the figure attached

l = w = 14 cm

h = 6 cm

Therefore, [tex]V=\frac{1}{3}(14)(14)(6)[/tex]

V = 14×14×2 = 392 cm³

Option A. 392 cm³ is the answer.

It would be $3.5 per pound for the coffee and $4 per pound for tea.

Final answer:

The cost per pound of coffee is found to be $3.50 by setting up two equations from the given information and solving for the price of coffee.

Explanation:

To find out the price per pound of coffee, we need to set up two equations based on the given information and solve them using the method of substitution or elimination. Let's assume C is the cost per pound of coffee and T is the cost per pound of tea.

The first situation gives us the equation:

2C + 3T = $19.00

The second situation gives us the equation:

5C + 6T = $41.50

We can multiply the first equation by two, which gives:

4C + 6T = $38.00

By subtracting this equation from the second equation, we get:

(5C + 6T) - (4C + 6T) = $41.50 - $38.00

This leaves us with:

C = $3.50

Therefore, the cost of coffee per pound is $3.50.

1.36208 x 10^4, good luck

if we take 31 to be the 100%, what is 28 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 31&100\\ 28&x \end{array}\implies \cfrac{31}{28}=\cfrac{100}{x}\implies 31x=2800\implies x=\cfrac{2800}{31} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill x\approx 90.32~\hfill[/tex]

For this case we must find the inverse of the following function:

[tex]f (x) = - \frac {1} {2} \sqrt {x + 3}[/tex]

We follow the steps below:

Replace f(x) with y:

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

We exchange the variables:

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

We solve for "y":

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

Multiply by -2 on both sides of the equation:

[tex]\sqrt {y + 3} = - 2x[/tex]

We raise both sides of the equation to the square to eliminate the radical:

[tex](\sqrt {y + 3}) ^ 2 = (- 2x) ^ 2\\y + 3 = 4x ^ 2[/tex]

We subtract 3 from both sides of the equation:

[tex]y = 4x ^ 2-3[/tex]

We change y by f ^ {- 1} (x):

[tex]f ^ {- 1} (x) = 4x ^ 2-3[/tex]

Answer:[tex]f ^ {- 1} (x) = 4x ^ 2-3[/tex]

Answer:

[tex]f(x)^{-1}= 4x^{2} -3 [/tex] .

Step-by-step explanation:

Given : [tex]f(x) =-\frac{1}{2}\sqrt{x+3}[/tex].

To find : Find the inverse of the given function.

Solution : We have given

[tex]f(x) =-\frac{1}{2}\sqrt{x+3}[/tex].

Step 1: take f(x) = y

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

Step 2 : Inter change y and x.

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

Step 3 : Solve for y

Taking square both sides

[tex]x^{2} = \frac{1}{4}(y+3)[/tex].

On multiply both sides by 4.

[tex]4x^{2} = (y+3)[/tex].

On subtraction both sides by 3.

[tex]4x^{2} -3 = y[/tex].

Here, [tex]f(x)^{-1}= y[/tex] is inverse of f(x)

[tex]f(x)^{-1}= 4x^{2} -3 [/tex] .

Therefore, [tex]f(x)^{-1}= 4x^{2} -3 [/tex] .

Answer is (-117, 2)

See photo

Final answer:

An isosceles triangle PQR with points P and Q sharing the same x-coordinate requires point R to also have this x-coordinate to have equal PR and QR sides. The y-coordinate of R should be the average of P and Q's y-coordinates. None of the provided options satisfy these conditions.

Explanation:

If we are looking for the coordinates of point R such that triangle PQR is isosceles, we should recall that in an isosceles triangle, two sides are of equal length. We can observe that whatever point we choose for R, one of the equal sides will be either PR or QR because points P and Q share the same x-coordinate (2).

Considering the coordinates of P (2, 7) and Q (2, -3), the vertical distance between P and Q is 10 units. For triangle PQR to be isosceles, the distance from R to either P or Q needs to be the same. This means point R must be horizontally aligned with P and Q to maintain its x-coordinate as 2, while the y-coordinate must be equidistant from P and Q's y-coordinates.

Since point P's y-coordinate is 7, and Q's is -3, the y-coordinate of R must be the average of 7 and -3, which is (7 + (-3))/2 = 2.

Therefore, the coordinates of R should be (2, 2), making triangle PQR isosceles with PR and QR as the equal sides. However, none of the given options (I, II, III) have an x-coordinate of 2, so none of these points could form an isosceles triangle with P and Q according to the given coordinates.

Answer: If the equilibrium is such that only 12000 units are sold for $27, then the total earnings from the given scenario is $324,000. The supply equation would then be,

       supply: 324000 = 6p   ; p = 324000/6 = 54000

       demand: 324000 = 69p ; p = 324000/69 = 4695.65 ≈ 4696

The equation that models the price-demand relationship is:  [tex]\[ y = -30x + 2270 \][/tex]

The correct option is (C).

find the linear equation that models the price-demand relationship based on the given data points.

1. Given Data:

  - Price at which demand is 200 games:[tex]\(x_1 = 69\), \(y_1 = 200\)[/tex]

  - Price at which demand is 1,100 games: [tex]\(x_2 = 39\), \(y_2 = 1100\)[/tex]

2. Slope Calculation:

  The slope (m) of the linear equation can be found using the formula:

 [tex]\[ m = \frac{{y_2 - y_1}}{{x_2 - x_1}} = \frac{{1100 - 200}}{{39 - 69}} = \frac{{900}}{{-30}} = -30 \][/tex]

3. Y-Intercept Calculation:

  Using one of the data points [tex](let's use \(x_1 = 69\), \(y_1 = 200\))[/tex]:

  [tex]\[ y_1 = mx_1 + b \\ 200 = (-30)(69) + b \\ b = 2270 \][/tex]

4. Linear Equation:

  The equation that models the price-demand relationship is:

 [tex]\[ y = -30x + 2270 \][/tex]

Therefore, the correct answer is C. (y = -30x + 2270). This equation represents the linear relationship between the price per video game ((x)) and the demand ((y)) based on the given survey data.

150.72 is the exact answer. Hope this helped!!

Answer:

A. 5

Step-by-step explanation:

you need to bring the dot to the same value like this =10÷2

B. False

Bi = 2

Binomial = 2 possible outcomes

The answer is C 24 square units.

Hope this helps!

Answer:

The answer is C.24 square units.

Step-by-step explanation:

I think that the answer is B.

Answer:

if u asked maybe a little nicer. UMM NO

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

f(x) × g(x)

= 11(123x - 40) ← distribute

= 1353x - 440

Substitute x = - 4 into the product

= (1353 × - 4) - 440

= - 5412 - 440

= - 5852

Answer:

y = 3x - 8

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 )

y = 3x + 9 ← is in slope- intercept form

with slope m = 3

• Parallel lines have equal slopes, thus

y = 3x + c ← is the partial equation of the parallel line

To find c substitute (2, - 2) into the partial equation

- 2 = 6 + c ⇒ c = - 2 - 6 = - 8

y = 3x - 8 ← equation of parallel line

Answer:

20x - 8

Step-by-step explanation:

using the distributive property to simplify (5x-2)4, you would multiply the outside term (4) by each inside term (5x-2).

for example:

4 × 5x = 20x

4 × -2 = -8

once you distribute the 4 into 5x-2, you are left with 20x - 8 which needs no further simplifying

Answer:

Step-by-step explanation:

The distributive property: a(b + c) = ab + ac

(5x - 2) · 4 = 4(5x - 2) = (4)(5x) + (4)(-2) = 20x - 8

For this case we must complete squares:

[tex]x ^ 2 + 10x = 15[/tex]

We add the square of half the coefficient of the term "x",

[tex](\frac {b} {2a}) ^ 2[/tex] on both sides of the equation:

[tex]x^2+10x+(\frac {10} {2 (1)}) ^ 2 = 25 + 15\\x ^ 2 + 10x + 5 ^ 2 = 25 + 15[/tex]

According to the perfect square trinomial we have:

[tex](a + b) ^ 2 = a ^2 + 2ab + b ^ 2[/tex]

Rewriting the expression we have:

[tex]a = x\\b = 5\\(x + 5) ^ 2 = 25 + 15\\(x + 5) ^ 2 = 40[/tex]

ANswer:

[tex](x + 5) ^ 2 = 40[/tex]

Answer:

[tex]\large\boxed{L.A.=153\pi\ mm^2}\\\boxed{S.A.234\pi\ mm^2}[/tex]

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rl[/tex]

r - radius

l - slant height

The formula of a surface area of a cone:

[tex]S.A.=\pi r^2+\pi rl[/tex]

We have r= 9mm and l = 17mm. Substitute:

[tex]L.A.=\pi(9)(17)=153\pi\ mm^2[/tex]

[tex]S.A.=\pi(9^2)+153\pi=81\pi+153\pi=234\pi\ mm^2[/tex]