What is x?

100^(2x)=1000^(x+6)

Answers

Answer 1

Answer:

x = 18

Step-by-step explanation:

You apply the exponent rules

4x = 3 (x + 6)

Then you solve 4x =3  (x + 6)  

Which gives you 18


Related Questions

At Supercuts, washing a customer's hair takes an average of 3. 5 minutes with a standard deviation

of 1. 2 minutes. Applying conditioner takes an average of 2. 1 minutes with a standard deviation

of. 75 minutes. Assuming both washing and conditioning can be explained using a Normal

model, what is the probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes?

Answers

The probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes is  0.63341

In this question we have been given that at supercuts, washing a customer's hair takes an average of 3. 5 minutes with a standard deviation

of 1. 2 minutes. Applying conditioner takes an average of 2. 1 minutes with a standard deviation of. 75 minutes.

μ1 = 3.5, μ2 = 2.1

σ1 = 1.2, σ2 = 0.75

The mean of the sum of the two random variables would be,

μ = μ1 + μ2

μ = 3.5 + 2.1

μ = 5.6

The Standard Deviation of the Sum of Two Independent Random Variables would be,

σ = √(σ1)² + (σ2)²

σ = √(1.2)² + (0.75)²

σ = 1.76

The probability that to total time to wash and condition a customer's hair will take longer more than 5 minutes.

i.e., P(x > 5)

First we find the z-score.

z = X - μ/σ

z = 5 - 5.6/1.76

z = -0.34091

P-value from Z-Table:

P(x<5) = 0.36659

So, P(x>5) = 1 - P(x<5)

                 = 0.63341

Therefore, the required probability is  0.63341

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What is the product of 5x(x - 8) ?

Answers

Answer:

5x^2 - 40x

Step-by-step explanation:

5x (x-8)

5x^2 - 40x

5x(x-8)
5(x -8) x(x-8)
5x - 40 x^2 - 8x
Answer: x^2 - 40x - 40

Find the slope-intercept form that passes through (2,-2) and (-4,1)

Answers

Answer:

y=1/2x+1

Step-by-step explanation:

I think so I'm not an expert

Answer:

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

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 ) = (2, - 2 ) and (x₂, y₂ ) = (- 4, 1 )

m = [tex]\frac{1-(-2)}{-4-2}[/tex] = [tex]\frac{1+2}{-6}[/tex] = [tex]\frac{3}{-6}[/tex] = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (2, - 2 ) , then

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

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

 

What D
Evaluate each expression for the giver
3x² when x is 10

Answers

Answer:

3x²

= 3(10)²

= 3(100)

= 300

Step-by-step explanation:

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Paul pent $72 on 4 day-lilie and 7 geranium. Megan pent $128 on 10 day-lilie and 11 geranium. Find the cot of one day-lily and the cot of one geranium

Answers

The cost of one day-Lilly is found to be $4 and the cost of one geranium is found to be $8. Therefore, Paul spent about $16 for day-Lilly and $56 for geranium. And Megan spent about $40 for day-Lilly and $88 for geranium.

Two or more algebraic equations that have a common variable and are solved simultaneously are referred to as simultaneous equations. We can find the answers to both unknowns if we have two separate equations with the same two unknowns in each. Here, we'll employ the addition-and-subtraction or elimination method.

Let's consider the cost of day-Lilly as x and the cost of geranium as y. The cost spent by Paul is written as 4x+7y=$72 and Megan is written as 10x+11y=$128.

Solving these two equations for x and  y,

[tex]\begin{aligned}40x+70y = \$720\\\underline{40x+44y=\$512}\\26y=\$208\\y=\$8 \end{aligned}[/tex]

Substitute the value of y in equation 4x+7y=$72 to get the value of x,

[tex]\begin{aligned}4x+7(8)&=\$72\\4x&=\$16\\x&=\$4\end{aligned}[/tex]

The answers are $4 and $8.

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A company makes a loss of 2 million dollars in its first year of trading. In the following two years it makes a profit of $625 000 per year. What is the average profit or loss per year made by the company over the three years?

Answers

Answer: They lose $250000 per year over the three years!

Step-by-step explanation:

First, find the total profit for the two following years

Take $625000 times 2 = $1250000

Next, find the total they made in 3 years

Take -$2000000 of the first year + $1250000 = - $750000

Now we find their average profit per year

Take -$750000 divided by 3 = -$250000

They lose $250000 per year over the three years

Three friends are down loading music from a web site. Dean pays £18.13 to down load 3 albums and 4 single tracks. Becky pays £13.93 to down load 2 albums and 5 single tracks. Charlotte wants to download 4 albums and 3 single he tracks. How much will Charlotte be charged? (You may use a calculator)​

Answers

Answer:

£22.33

Step-by-step explanation:

calculate the cost of an album and a single track using simultaneous equations.

let a represent an album and s a single track , then

3a + 4s = 18.13 → (1)

2a + 5s = 13.93 → (2)

multiplying (1) by - 2 and (2) by 3 and adding will eliminate a

- 6a - 8s = - 36.26 → (3)

6a + 15s = 41.79 → (4)

add (3) and (4) term by term to eliminate a

0 + 7s = 5.53

7s = 5.53 ( divide both sides by 7 )

s = 0.79

substitute s = 0.79 into either of the 2 equations and solve for a

substituting into (1)

3a + 4(0.79) = 18.13

3a + 3.16 = 18.13 ( subtract 3.16 from both sides )

3a = 14.97 ( divide both sides by 3 )

a = 4.99

that is album costs £4.99 and single track £0.79

then cost to Charlotte is

cost = (4 × £4.99) + (3 × £0.79) = £19.96 + £2.37 = £22.33

The cost of 4 albums and 3 single tracks is £22.33

Let the cost of 1 album = £x

and let the cost of 1 single track = £y

Now, the cost of 3 albums and 4 single tracks = £3*x + £4*y

and cost of 2 albums and 5 single tracks= £2*x + £5*y

Given that,

£3*x + £4*y = £18.13  -------->(1)

£2*x + £5*y = £13.93 -------->(2)

Multiply (1) equation by 2 and (2) equation by 3 then solve for x and y.

On applying the substitution method we have,

x = £4.99 and y = £0.79

Now, we have to calculate the value of 4 albums and 3 single tracks.

It can be written as 4*x +3*y

£4*4.99 + £3*0.79 = £22.33

So, the cost of 4 albums and 3 single tracks is £22.33

This question is based on a linear equation in two variables. Here, we used two equations based on two variables and then solved them with the help of the substitution method.

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Is anyone good at this math

Answers

Answer:

x = 3

Step-by-step explanation:

4 + x = 7  Subtract 4 from both sides of the equation

4 - 4 - x = 7 - 4  Simplify

x = 3  X equals 3

Answer:

x = 3

Step-by-step explanation:

4 + x = 7

x + 4 - 4 = 7-4 = 3

x = 3

To solve for x, subtract 4 from both side of the equation.  This leaves x by itself on the left side of the equation.  Next subtract 4 from 7 to get the solution, x = 3.

show that parametrizes the plane . then: (a) calculate , , and . (b) find the area of , where . (c) express in terms of and and evaluate . (a) ,

Answers

The final solution is:

(1) Tu=<7, 1, 13>, Tv=<0, -1, 1> and n(u,v)=<14, -7, -7>.

(2) the area of S=Φ(D): Area(S) = 514.39

(3) ∬sf(x,y,z)ds = 190√(294) = 3257.82

What is the double integral?

A multiple integral is a definite integral of a function of several real variables, for instance, f or f.

1. Φ(u,v) gives the parametrization with its x, y, and z components. So, x=7u+4, y=u-v, and z=13u+v.

We can use this to get the tangent vectors by taking the respective partial derivatives.

Tu=<7, 1, 13> by taking the u derivatives of the components, and Tv=<0, -1, 1> by taking the v derivatives of the components.

2. Taking the cross product of Tu and Tv will give the normal vector n(u,v), which is <14, -7, -7>.

3. To find Area(S), you have to multiply the area of D by the magnitude of the normal vector from the previous step. D is the region defined by 0<=u<=5 and 0<=v<=6, so the area of D is 5*6=30.

Multiply this by the magnitude of the normal vector to find that Area(S)=30√(294)

Area(S) = 514.39

4. To integrate, we first must put the initial function in terms of the parameters we found in the first step.

Replace y with u-v and z with 13u+v. Next, multiply this integrand by the magnitude of the normal vector (√294) and apply the given bounds for u (0<=u<=5) and v (0<=v<=6).

From here the problem can be integrated like any other double integral, the final answer being 190√(294).

Hence, The final solution is:

(1) Tu=<7, 1, 13>, Tv=<0, -1, 1> and n(u,v)=<14, -7, -7>.

(2) the area of S=Φ(D): Area(S) = 514.39

(3) ∬sf(x,y,z)ds = 190√(294) = 3257.82

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Complete Question:

Show that Φ(u,v)=(7u+4,u−v,13u+v) parametrizes the plane 2x−y−z=8. Then: (a) Calculate Tu , Tv, and n(u,v). (b) Find the area of S=Φ(D), where D=(u,v):0≤u≤5,0≤v≤6. (c) Express f(x,y,z)=yz in terms of u and v and evaluate ∬sf(x,y,z)ds(a) Tu= , Tv= , n(u,v)=_______________(b) Area(S)=_______(c) ∬sf(x,y,z)ds=___________

Fully factorise 8q+20

Answers

Answer:

4 ( 2q + 5 )

Step-by-step explanation:

8q + 20

HCF is 4

= 4 ( 2q + 5 )

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Translate the answer, t2 = a3, into words: the of the orbital period, t, of a planet is equal to the of the average distance, a, of the planet from the sun

Answers

According to the Kepler's third law, the squares of the period of a planet's orbit is proportional to the cube of the semimajor axis.

According to Kepler's third law,

     t2 = a3

Kepler's third law compares the orbital period and radius of orbit of a planet to those of other planets. This comparison between period and radius being made is that the ratio of the squares of the periods to the cubes of their average distances from the sun is the same for every one of the planets. It provides an accurate description of the period and distance for a planet's orbits about the sun. The square of the period of a planet's orbit is proportional to the cube of its semimajor axis.  Kepler's Third Law depends on the total mass of the two bodies involved.

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Answer:

square and cube is the answers

Step-by-step explanation:

22. Kaitlyn invests $3,000 in a savings account that
pays an annual interest rate of 4.08%; how
much will she have after four years if there is
continuous compounding?
[A] $3,532.18
[B] $3,489.60
[C] $4,323.65
[D] $2,052.91
[E] $4,271.25

Answers

To calculate how much Kaitlyn will have after four years with continuous compounding, we can use the following formula:

A = P * e^(r*t)

where A is the final amount, P is the initial principal (in this case, $3,000), r is the annual interest rate (4.08%), and t is the number of years (4). Plugging these values into the formula, we get:

A = $3,000 * e^(0.0408*4)

= $3,000 * e^0.1632

= $3,000 * 1.1759

= $3,527.77

Therefore, Kaitlyn will have $3,527.77 after four years with continuous compounding, which is close to [A] $3,532.18.

Find the area enclosed by the curve x 3t, y t and the y-axis. Step 1 The curve x = t2-3t, y = Vt intersects the y-axis when x = 0, which occurs when t = 0 and 3 3 H 3 '

Answers

The area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis is 2.08 square units.

We have been given parametric equations x = t^2 − 3t, y = √t

We need to find the area enclosed by the curve x = t^2 − 3t, y = √t and the y-axis.

Consider x = 0

So, t^2 − 3t =  0

t(t - 3) = 0

t = 0   or  t = 3

Let f(t) =  t^2 − 3t and g(t) = t

Differentiate the curve f(t) with respect to t.

f'(t) = 2t - 3

NWe know that the formula to find the area under the curve.

A = ∫[a to b] g(t)f'(t) dt

here, a = 0 and b = 3

so, A = ∫[0 to 3] √t (2t - 3) dt

A = ∫[0 to 3] (2t√t - 3√t) dt

A = ∫[0 to 3] (2t^(3/2) - 3t^(1/2)) dt

A = [4/5 t^(5/2) - 2 t^(3/2)]_[t = 0, t = 3]

A = 4/5 3^(5/2) - 2 3^(3/2) - 0 + 0

A = 4/5 3^(5/2) - 2 3^(3/2)

A = 6√3 /5

A = 2.08

Therefore,  the area of the curve is 2.08 square units.

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plsss answer it

pls
pls

Answers

Answer:

6

Step-by-step explanation:

Common factor:

        6 is a factor of X , Y and Z.

    So, 6 will be a common factor of X + Y + Z.

You buy the following from Walmart:
1 puzzle for $8, 1 TV for $350, 1 cutting board for $9, and 1 blender for $25
What is the Subtotal: $
You have a 10% off coupon, how much do you save: $
What is the new Subtotal: $
Sales tax is 5%: $
What is the total: $
4

Answers

Answer:

You buy the following from Walmart:

1 puzzle for $8, 1 TV for $350, 1 cutting board for $9, and 1 blender for $25

$8 + $350 + $9 + $25What is the Subtotal: $392

You have a 10% off coupon,  

392 * 0.1 = $39.2How much do you save: $39.2

What is the new Subtotal:

$392 - $39.2 = $352.8$352.8

Sales tax is 5%: $

352.8 * 0.05 = $17.64$17.64

What is the total:

$352.8 + $17.64 = $370.44$370.44

Step-by-step explanation:

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Quadrilateral ABCD with vertices A (-3,3), B (8,8), C (6,2), and D (0,0) is shown. You want to reflect quadrilateral ABCD in the vertical
line that passes through the midpoint of CD. Graph the line of reflection and the image after the reflection.
Polygon
here to search
Line
14
13-
12-
11-
10-
9
7
6
5
Undo
Redo
x Reset
13
calculate
gra

Answers

The line of reflection and the image of after reflection graph is attached below  

What is line of reflection ?

The picture is consistent with the preimage when reflecting a figure in a line or a point. Every point on a figure is translated into an image by a reflection across a set line. The term "line of reflection" refers to the fixed line.

The line of reflection is a line across which an image will reflect. Every point in a figure is said to reflect the other figure if and only if it is equally spaced from every corresponding point in the other figure. The image that is reflected should be identical in size and shape but face the opposite way.

Graph the quadrilateral. By inspection, you can tell where the midpoint is. (see attachment 1)

Now, I'll draw a line through it. (see attachment 2)

To reflect across a line, think about the points traveling across the line the same number of spaces the point is from the line. For example, point A is three away from the line. So, A' will be 3 away from the other side. The coordinates will be at (-3,2). (see attachment 3).

Do the same for the other points, and you'll have your image.

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For every day late, there is a $25 penalty. If the bill was paid 3 days late, write an expression to represent the total penalty fees after3 days late.

Answers

An expression to represent the total penalty fees after 3 days late is given by T = 25d.

How to write an expression for the total total penalty fees?

In Mathematics, a linear function is sometimes referred to as an expression or the slope-intercept form of a straight line and it can be used to model (represent) the total penalty fees after 3 days late;

T = md + b

Where:

T represents the total penalty fees.m represents the rate of change (slope) per days.d represents the number of days or time.b represents the y-intercept or initial amount.

Therefore, the required linear function that represents the total penalty fees after 3 days late is given by this mathematical expression;

T = 25d

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3 divided 74.25
Is it possible??

Answers

Answer:

No it is not possible, you would have to do 74.25 divided by 3

Step-by-step explanation:

3 divided by 74.25 = 0.0404040404

but

74.25 divided by 3 = 24.75

f(0) = 2. f(n) = f(n-1)+4
The relationship represented is -
A linear
B exponential
C neither

Answers

The relationship represented is linear. Where f(0) = 2 and f(n) = f(n-1)+4.

Define linear.

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph. The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively. There are only one or two variables in a linear equation. No variable can be multiplied by a number larger than one or used as the denominator of a fraction in a linear equation.

Given,

Functions,

f(0) = 2

f(n) = f(n-1) + 4

Equating 0

f(0) = f(0-1) + 4

f(0) = 4

The relationship represented is linear. Where f(0) = 2 and f(n) = f(n-1)+4.

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Write an equation that represents the line. Use exact numbers. hurry please!!

Answers

Answer:

y=3/4x-9/2

Step-by-step explanation:

y=mx+c

m=dy/dx

=-3/-4

=3/4

-3=(3/4*2)+c

-3=3/2+c

-9/2=c

someone with great knowledge of this please help its due asap please help.

Answers

Answer: x = 2 hours y= 7 hours = 9 hours a week, 80$ a week

Step-by-step explanation:

5$x2=10$   10$x7=70$ 70$ + 10$ = 80 $.

hopefully, maybe that helps for the first question.

work out the surface area

Answers

Answer:

a = 120 cm2

Step-by-step explanation:

The prism has 5 sides:

2 triangles, base: 3 hight: 4, each

3 rectangles, 3x9, 5x9 and 4x9

Add the areas on each side to the total area:

[tex]a=(2)\frac{(3)(4)}{2} +(3)(9)+(5)(9)+(4)(9)=12+27+45+36[/tex]

[tex]a=120cm^{2}[/tex]

Hope this helps

which statement is not always true when triangle ABC congruent to triangle XYZ

Answers

From the given options, option B is the only statement that is not true is ∠C ≅ ∠E.

What is the congruence theorem?

Triangle congruence theorem or triangle congruence criteria help in proving if a triangle is congruent or not. The word congruent means exactly equal in shape and size no matter if we turn it, flip it or rotate it.

If Δ ABC is congruent to Δ DEF, then its corresponding parts must be congruent.

segment AB ≅ segment DE

segment BC ≅ segment EF

segment AC ≅ segment DF

∠A ≅ ∠D

∠B ≅ ∠E

∠C ≅ ∠F

Therefore, from the given options, option B is the only statement that is not true is ∠C ≅ ∠E.

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"Your question is incomplete, probably the complete question/missing part is:"

If triangle ABC is congruent to triangle DEF, which statement is not true?

A) Segment AB ≅ segment DE

B) ∠C ≅ ∠E

C) Segment BC ≅ segment EF

D) ∠A ≅ ∠D

a spherical balloon is being filled with air at a constant rate of . at what rate is the surface area increasing when the volume is

Answers

The surface area of a sphere is given by the formula 4πr^2, where r is the radius of the sphere. This means that the surface area of the balloon is increasing at the rate of 8πr cm^2/sec.

The volume of a sphere is given by the formula 4/3πr^3, where r is the radius of the sphere. If the radius of the balloon is 6 cm, then the volume of the balloon is (4/3)π(6^3) = (4/3)π216 = 288π cm^3.

To find the rate at which the volume of the balloon is increasing, we need to take the derivative of the formula for the volume of a sphere with respect to time. This gives us (4/3)π(3r^2)(dr/dt).

Since the radius of the balloon is 6 cm and the surface area of the balloon is increasing at the rate of 8πr cm^2/sec, the rate at which the radius of the balloon is increasing is (8πr/4πr^2) = 2/r = 2/6 = 1/3 cm/sec.

Plugging this into the formula for the rate of change of the volume of the sphere, we get

(4/3)π(3r^2)(dr/dt) = (4/3)π(36^2)(1/3) = (4/3)π108 = 144π cm^3/sec.

Therefore, the volume of the balloon is increasing at a rate of 144π cm^3/sec when the radius of the balloon is 6 cm.

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Complete Question:

The surface area of a spherical balloon is increasing at the rate of 2 cm 2/sec. At what rate is the volume of the balloon is increasing when the radius of the balloon is 6 cm?

If this trapezoid is moved through the translation (x+3,y-2), what will the coordinates of B be?

Answers

The coordinate of the vertex B after the transformation of the given trapezoid is (-2, 2).

How to transform a graph of the function?

The graph of a function can be transformed by either shifting it in the right, left, up or down.

When the transformation is rightwards, the function becomes as f(x - a).

For left shifting it is f(x + a).

As per the given graph, the coordinate of vertex B is (-5, 4).

After the translation (x, y) → (x + 3, y - 2), the new coordinate can be obtained as,

(-5, 4) → (-5 + 3, 4 - 2)

⇒ (-2, 2)

Hence, the coordinate of B after the transformation is (-2, 2).

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Which of the following statements are true for a square?
(i) It is a rectangle.
(ii) It has all its sides of equal length
(iii)Its diagonals bisect each other at right angle.
(iv) Its diagonals are equal to its sides....â

Answers

Answer:

II) it has all sides of equal length

Kannanaski Rapids drops 62 ft vertically over a horizontal distance of 920 ft. What is the slope of the rapids? a. -0.067 b. -0.001 c. -62 0 d. -14.8

Answers

The slope of the rapids is -0.067

Kannanaski Rapids drops  62 ft vertically

The horizontal distance of 920 ft.

tan θ is a commonly used trigonometric function along with other 5 functions. tan θ is also called as law of tangent. The tangent formula for a right-angled triangle can be defined as the ratio of the opposite side of a triangle to the adjacent side. It can also be represented as a ratio of the sine of the angle to the cosine of the angle.

Slope of Rapids= tanθ= [tex]\frac{y}{x}=\frac{-62}{920} \\[/tex]

=-0.067

Therefore, the slope of rapids is -0.067.

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The midpoint of AB is M(-5, 1). If the coordinates of A are (-4,-5), what are
the coordinates of B?

Answers

Answer:

-6, 7

Step-by-step explanation:

Answer: B(-6,7)

Step-by-step explanation:

M(-5, 1)      A(-4,-5)       B(x,y)=?

[tex]\displaystyle\\M_x=\frac{x_A+x_B}{2} \\\\-5=\frac{-4+x_B}{2}\\\\[/tex]

Multiply both parts of the equation by 2:

[tex]-5(2)=-4+x_B\\\\-10=-4+x_B\\\\-10+4=-4+x_B+4\\\\-6=x_B\\\\Thus,\ x_B=-6[/tex]

[tex]\displaystyle\\\\\\1=\frac{-5+y_B}{2} \\\\[/tex]

Multiply both parts of the equation by 2:

[tex]1(2)=-5+y_B\\\\2=-5+y_B\\\\2+5=-5+y_B+5\\\\7=y_B\\\\Thus,\ y_B=7[/tex]

How many lines of symmetry does the figure have?

0
1
2
3

Answers

Answer:

1

Step-by-step explanation:

because you can only cut it in a certain way that both pieces are the same measurements

How do you find the y-intercept of a standard form equation?

Answers

Answer:

Step-by-step explanation:

ok so standard form is

Ax+By=C

and its actually really simple

when you want to find the y-intercept

set x to 0

it will look something like

A(0)+By=C

By=C

y=C/B

It makes more sense with actual numbers

so

3x+2y=4

3(0)+2y=4

0+2y=4

2y=4

y=2

therefore the y intercept would be 2

for that equation

but you can do the same for x-intercept

just set y to 0

hope this helped :)

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