I dont even need help with the question.

Answers

Answer 1

[tex]32^{\frac{1}{25}}\cdot 2^x ~~ = ~~8^{\frac{1}{4}}\implies (2^5)^{\frac{1}{25}}\cdot 2^x~~ = ~~(2^3)^{\frac{1}{4}}\implies 2^{\frac{5}{25}}\cdot 2^x~~ = ~~2^{\frac{3}{4}} \\\\\\ \stackrel{same~exponent}{\underset{same~base}{2^{\frac{5}{25}+x}~~ = ~~2^{\frac{3}{4}}}}\implies \cfrac{5}{25}+x~~ = ~~\cfrac{3}{4}\implies \cfrac{1}{5}+x~~ = ~~\cfrac{3}{4}[/tex]

[tex]\stackrel{\textit{multiplying both sides by }\stackrel{LCD}{20}}{20\left( \cfrac{1}{5}+x \right)~~ = ~~20\left( \cfrac{3}{4} \right)}\implies 4+20x~~ = ~~15 \\\\\\ 20x=11\implies {\Large \begin{array}{llll} x=\cfrac{11}{20} \end{array}}[/tex]


Related Questions

solve the value equation -6 | 2x+7|=-90

Answers

The value of equation is 4,-11

What is algebraic expression ?

When operations like addition, subtraction, multiplication, division, etc. are performed on variables and constants, we obtain algebraic expressions as the mathematical statement. Let's say James and Natalie were tinkering with matchsticks when they had the idea to arrange the sticks into number patterns. James used four matchsticks to make the numeral 4 in the air. Adding three additional matchsticks allowed Natalie to create a pattern with two 4s. They understood that they may continue to add three matchsticks each round to make a total of four. They deduced from this that, generally speaking, 4+ 3(n-1) sticks are required to create a pattern with n numbers of 4s. The algebraic statement 4+ 3(n-1) is referred to here.

Given that : the equation -6 | 2x+7|=-90

-6 | 2x+7|=-90

|2x +7|=[tex]\frac{-90}{-6}[/tex]

|2x +7|=15

2x + 7 =±15

2x + 7 = 15 ... (i)

2x = 8

x =4

2x + 7 = -15....(ii)

2x = -22

x =-11

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In 6 Minutes, Rita can type 24 words. What is her rate in words per minute?

Answers

4 words per minutes. 24 divided by 6 gives you the answer

Answer:

4 words per minute

Step-by-step explanation:

In 6 minutes Rite typed 24 words, 24 divided by 6 is 4

Passes through (9, 0) and (0, -3).

do you mind explaining with the answer so that i’ll understand it and be able to continue without being confused? thank you! :)

Answers

Answer: y = (1/3)x - 3

Step-by-step explanation:

It passes through -3 at 0, so we know the y = mx + b form will include -3

Next, we want to find the slope:

Change in y = 0 - -3 = 3

Change in x = 9 - 0 = 9

Change in y / Change in x = slope

3/9 = 1/3

Omar has been training for the Candlewood Footrace. The first week he trained, he ran 7 days and took the same two routes each day: 3 miles around the track before work and a longer route through his neighborhood after work. By the end of the week, Omar had run a total of 63 miles.
Which equation can you use to find how many miles, x, Omar ran each day after work?

Answers

The equation that can be use to find the how many miles, x, Omar ran each day after work is x =  (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days  after work

The total number of days he run = 7 days

Total distance he ran in one week = 63 miles

The distance he run before the work = 3 miles

The total distance he run before the work in one week= 7×3

= 21 miles

The total distance he run after the work = 63 - 21

= 42 miles

The equation that can use to find how many mile x, Omar ran each day after work = (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7

Substitute the values in the equation

= 42/7

= 6 miles

Hence, The equation that can be use to find the how many miles, x, Omar ran each day after work is x =  (Total distance he ran in one week - The total distance he run before the work in one week) ÷ 7, he ran 6 miles each days  after work

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Which is a correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” when n = 4?
The correct expression is StartFraction n cubed Over 16 EndFraction minus 2 + 8.
The correct expression is 2 minus StartFraction n cubed Over 16 EndFraction + 8.
One of the steps to determining the value when n = 4 is 1 minus 2 + 8.
One of the steps to determining the value when n = 4 is 2 minus 1 + 8.
The value when n = 4 is 6.
The value when n = 4 is 7.
The value when n = 4 is 9.
The value when n = 4 is 10.

Answers

The correct statement about the description “two less than the quotient of a number cubed and sixteen, increased by eight” is "StartFraction n cubed Over 16 EndFraction minus 2 + 8"

The correct answer option is option a

The value of the expression when n = 4 is 10. option D

How to write algebraic expression

The unknown number = nQuotient means division

quotient of a number cubed and sixteen

= n³ / 16

two less than the quotient of a number cubed and sixteen

= (n³ / 16 - 2)

two less than the quotient of a number cubed and sixteen, increased by eight”

= (n³ / 16 - 2) + 8

If n = 4

(n³ / 16 - 2) + 8

= (4³ / 16 - 2) + 8

= (64/16 - 2) + 8

= (4 - 2) + 8

= 2 + 8

= 10

In conclusion, the expression can be written as "StartFraction n cubed Over 16 EndFraction minus 2 + 8"

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Raise 7 to the 2nd power, then add the result to b

Answers

(7)^2 +

2nd power means squaring a number and since you need to do that first, it goes in brackets.

answer: 49 + b, or just 7^2 + b

explanation: 7^2 = 7x7, so it is equal to 49. then add b to 49

1.8 as decimal in it simplest form

Answers

Answer:

1.8 = 9

5

= 14

5

as a fraction

4/6 - 3/6p=16/6 what is p



20 points

Answers

Answer:

-4

Step-by-step explanation:

4/6 - 3/6p=16/6

Multiply each side by 6

4 - 3p = 16

Subtract 4 from both sides

-3p = 12

Divide both sides by -3

p = -4

Answer:

-4

Step-by-step explanation:

Solving for 'p':

   [tex]\sf \dfrac{4}{6}-\dfrac{3}{6}p=\dfrac{16}{6}[/tex]

To find the value of 'p', isolate 'p',

         [tex]\sf \dfrac{-3}{6}p=\dfrac{16}{6}-\dfrac{4}{6}\\\\[/tex]

                 [tex]\sf = \dfrac{12}{6}[/tex]

                  = 2

             [tex]\sf p = 2* \dfrac{6}{-3}\\\\ p = 2 *(-2)\\\\p = -4[/tex]

Is 9 11/13 bigger than 9.79

Answers

[tex]9\frac{11}{13}[/tex] is bigger than 9.79

The mixed fraction = [tex]9\frac{11}{13}[/tex]

The mixed fraction is the fraction that expressed with its quotient and remainder. The mixed fraction is the combination of a whole number and a simple fraction

Simple fraction is the fraction that has whole numbers as the numerator and denominator.

The decimal number is a number that has whole and the fractional parts are separated by a decimal point

First we have to convert the mixed fraction into simple fraction

[tex]9\frac{11}{13}[/tex] = 128/13

Next we have to convert the simple fraction into decimal form

Divide 128 by 13

The result will be

128/13 = 9.85

Hence, [tex]9\frac{11}{13}[/tex] is bigger than 9.79

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C
A
O 49°
50°
B
If mBD = 23°, and mZBED=16°, what is mï?
27.5°
55°
D
DE

Answers

The arc angle AC is measured as 55 degrees.

How to find arc angle?

If two secant intersect in the exterior of a circle, then the measure of the angle formed is half the positive difference of the arcs intercepted.

Therefore, the secants intersect outside the circle at point E.

The arc angle AC can be found as follows:

Therefore,

m∠BED = 1 / 2 (arc angle AC - arc angle BD)

arc angle AC = x

arc angle BD = 23 degrees.

m∠BED = 16 degrees.

m∠BED = 1 / 2 (arc angle AC - arc angle BD)

16 = 1 / 2 (x - 23)

16 = 1 / 2x - 23 / 2

16 + 11.5 = 0.5x

27.5 = 0.5x

x = 27.5 / 0.5

x = 55 degrees.

Therefore,

arc angle AC = 55 degrees.

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How many 14-pound hamburgers can you make from 312 pounds of ground beef?
You can make ? hamburgers.

Answers

Answer:

You can make 22 burgers.

Step-by-step explanation:

If you have 312 pounds of ground beef and burgers are 14 pounds, divide 312 by 14 ( 312 / 14).  This gives you an answer of 22.28 You will have leftovers because 14 does not go into 312 perfectly. You can also check the answer by doing multiplication ( 22 * 14) which gives you 308. You cannot have another burger because 308 + 14 = 322 which is over the amount of beef you have.

in 1 year the water level of a lake changes by -3/8 inch

Answers

Answer:

-3÷8 or -0.375

Step-by-step explanation:

-3÷8÷1=-3÷8×1÷1=-24÷8=-3

(-8,5); y= -4x+2 find the parallel equation

Answers

Answer: y=-4x-27

Step-by-step explanation:

[tex]y=mx+b[/tex]

Lines are parallel if their slopes are equal

[tex]y=-4x+2[/tex]

⇒ m=-4

⇒ y=-4x+b

A line passes through (-8.5)

⇒ x=-8    y=5

[tex]5=-4(-8)+b\\5=32+b\\5-32=32+b-32\\-27=b[/tex]

So, y=-4x-27

micah is 111 of 282828 students in a class. micah's teacher is going to randomly select 333 students from their class to visit a classroom of younger students. what is the probability micah is included in the group of students chosen?

Answers

0.71%  is the probability micah is included in the group of students chosen.

Describe probability using an example?

By dividing the number of favorable outcomes by the total number of possible outcomes, probability—the likelihood that an event will occur—is determined.The simplest example is a coin flip. When you flip a coin there are only two possible outcomes, the result is either heads or tails.

the probability micah is included in the group of students chosen =

               3/28 = 10.71%

The probability of her getting picked is unlikely.

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The complete question is -

Micah is 1 of 28 students in a class. Micah's teacher is going to randomly select 3 students from their class to visit a classroom of younger students. What is the probability Micah is included in the group of students chosen?

What is the Process for performing the transformation on a coordinate plane using rigid transformations

Answers

Flipping and Stretching is the Process for performing the transformation on a coordinate plane using rigid transformations.

A rigid transformation of a geometric object preserves distance between each pair of points of the object. In other words, rigid transformations preserve the shape and size of an object. For example, a rigid transformation of a triangle preserves both the measure of the angles and the lengths of the sides of the triangle. Think of rigid transformations of a shape as being like taking a cardboard cutout of the shape. The shape can be moved around, rotated, and flipped from one side to the other, but the shape itself does not change.

There are rules associated with rigid transformations. A rigid transformation is some function F from a set X to itself such that F preserves the distances between two points. Let d(x ,y) be the distance between two points. Then, to write the definition in mathematical notation, if d(x ,y) = d(F(x),F(y)) for all points x and y, then F is a rigid transformation.

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on jan 22 0217 the cost to mail a letter in the us was raised from 47 to 49 centrs. find the relative change in the cost

Answers

The relative change is 2%.

What is relative change?

In contrast to the reference value, the absolute change's size is expressed as a fraction called the relative change: relative change = absolute change reference value = new value reference value reference value. The absolute change is expressed as a percentage of the value of the indicator in the prior period, or "relative change" expresses the absolute change as such. When measuring indicators in percentage terms, such as the unemployment rate, absolute and relative change principles also apply. To determine the absolute change, subtract the starting value from the ending value. Simply deduct 1,000 from 1,100 to arrive at 100 in the example. The student population increased by 100 pupils throughout the course of the year because this is the absolute change.

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Look at the image for the problem, also round to the nearest hundredth if necessary.

Answers

ANSWER

[tex]V=3052.08ft^3[/tex]

EXPLANATION

We want to find the volume of the sphere.

The volume of a sphere is given as:

[tex]V=\frac{4}{3}\cdot\pi\cdot r^3[/tex]

where r = radius of the sphere.

Therefore, we have that the volume of the sphere is:

[tex]\begin{gathered} V=\frac{4}{3}\cdot3.14\cdot9^3 \\ V=3052.08ft^3 \end{gathered}[/tex]

That is the volume of the sphere.

Find and interpret the slope. The number of cubic feet of watery In a reservoir x hours after the water starts flowing into the reservoir Is a linear function. The points (40,2,000) and (60, 3,000) are on the line of the function. The slope ls which means that the amount of water in the reservoir is increasing at a rate of cubic feet each hour.what is the y- intercept? what is the x- intercept?

Answers

The slope of a line (m) given two points (x1, y1) and (x2, y2) is computed as follows:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Replacing with (40,2,000) and (60, 3,000):

[tex]m=\frac{3000-2000}{60-40}=\frac{1000}{20}=50[/tex]

The slope ls 50 cubic feet/hour which means that the amount of water in the reservoir is increasing at a rate of 50 cubic feet each hour.​

Slope-intercept form of a line:

y = mx + b

where m is the slope and b is the y-intercept. Replacing with m = 50 and point (40, 2000), e get:

200050()40

2000

2000 - 2000 = b

0 = b

Then the y-intercept is point (0, 0) which is also the x-intercept

The equation is:

y = 50x

in a survey of group people showed that 60 liked tea, 45 liked coffee, 30 liked milk,25 liked coffee as well as tea,20 liked tea as well as milk,15 liked coffee as well as milk and 10 liked all the three. How many people were asked this question?​

Answers

Answer:

85 people were surveyed

Step-by-step explanation:

Let n(X0 represent the number of people who belong in set X

We have 3 sets here
T = set of all people who like tea

C = set of all people who like coffee

M = set of all people who like milk

From the info given

n(T) = 60
n(C) = 45

n(M) = 30

The intersection of the sets are
n(C ∩ T) = 25

n(T ∩ M) = 20

n(C ∩ M) = 15

n(C ∩ T ∩ M) = 10

The number of people who were asked this question is given by

n(T U C U M)

= n(T) +  n(C) + n(M) - n(C ∩ T) - n(T ∩ M) - n(C ∩ M)  + n(C ∩ T ∩ M)

= 60 + 45 + 30 - 25 - 20 - 15 + 10

= 85

Venn Diagram is attached

5

Latisha has $40 in her checking account. She makes a withdrawal of $20 and then writes a check for $40. Then she deposits $30.

Answers

If Latisha has $40 in her checking account and she makes a withdrawal of $20 and then writes a check for $40, then she deposits $30, then the amount she has in her checking account is $10

The amount she has in her checking account = $40

The amount she withdraw from her account = $20

The amount she writes a check = $40

The deposited amount = $30

To find the final checking account balance we have to use the arithmetic operations

The final balance amount = The amount she has in her checking account -The amount she withdraw from her account - The amount she writes a check + The deposited amount

= 40-20-40+30

= $10

Hence, by using arithmetic operations, if Latisha has $40 in her checking account and she makes a withdrawal of $20 and then writes a check for $40, then she deposits $30, then the amount she has in her checking account is $10

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Please help me with this question!

Answers

The two swimming pools will have same amount of water using this equation, where x represents the time in minutes

3300 - 24x = 3696 - 35x

How to find the equation when the two pools will have same amount of water

information given in the question is as follows

the first pool had 3300 liters of water and drains at a rate of 24 liters per minute

the second pool had 3696 liters of water and drains at a rate of 35 liters per minute.

The given information implies that

every minute in x minutes 24x liters of water is drained from the first tank.

3300 - 24x

Similarly, in the second tank in x minutes 35x liters of water in drained from the second tank

3696 - 35x

The tanks will have equal volume of water when the two equations are equal

3300 - 24x = 3696 - 35x

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Simplify 3(2x-5) - (1-3x)

6x-15 - 1 - 3x
6x - 16

Why is this wrong

Answers

Answer:

6X-15-1-3X=3X-16

6-3=3

If f (x) = 4x² + 3x - 5, then f(x+h)-f(x)/ h is equal to which of the following?​

Answers

Answer:

Option 3

Step-by-step explanation:

[tex]f(x)=4x^2 + 3x-5 \\ \\ f(x+h)=4(x+h)^2+3(x+h)-5 \\ \\ =4(x^2+2xh+h^2)+3x+3h-5 \\ \\ f(x+h)-f(x)=4(x^2+ 2xh+h^2)+3(x+h)-5-(4x^2+3x-5) \\ \\ \frac{f(x+h)-f(x)}{h}=\frac{4(x^2+ 2xh+h^2)+3(x+h)-5-(4x^2+3x-5)}{h}[/tex]

Given the sequence:
5, 12, 19, 26, 33 ...

1. Determine the function that represents this sequence?

2. What is the 30th term of this sequence?

Answers

Answer:

Step-by-step explanation:

True or false? If x>0, then x² > x.

Answers

the answer is true!

Answer:

False

Step-by-step explanation:

It is false when x=1 because

[tex]1^{2} =1[/tex]

Work out the value of (6.31 x 10^5) + (2.6 × 10^1)
Give your answer in standard form.

Answers

Answer: 16,406,000

Step-by-step explanation:

First, multiply 6.31 and 2.6 to get 16.406. Then, add 10^5 and 10^1 to get 10^6.

It should now look like this, 16.406 x 10^6

The number has to be between 10 and 1 so you need to make it smaller by moving the decimal point over once to the left. It should now be 1.6406.  But, you can't leave the exponent at 10^6 so, you need to make it bigger since you made the number smaller.

Your answer should now look like this, 1.6406 x 10^7

Since it needs to be in standard form, move the decimal point 7 times to the right since it is a positive number.

So, your answer is: 16,406,000

Use the equation below to find a, if b=3 and h=4

Answers

there’s no equation but if there is a 'b' variable, switch it out with 3, so ex; 8b would then be 8(3), or 8*3. Same thing with h. If there is an 'a' variable, then you have to get everything gone but the variable. (if you provided the equation then i would’ve helped)

in exercises 17–30, (a) find the function’s domain, (b) find the function’s range, (c) describe the function’s level curves, (d) find the boundary of the function’s domain, (e) determine if the domain is an open region, a closed region, or neither, and (f) decide if the domain is bounded or unbounded.

Answers

The domain of f { (x,y) ∈ R²  x² + y² < (3/5)² } is bounded.

What does the math term domain mean?

Range and Domain. The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input.

Given f(x,y) = [tex]\frac{1}{\sqrt{9 - 25x^{2} - 25y^{2} } }[/tex]

a) the domain of f is the value of ( x, y) for which 9 - 25x² -25y² >0

9 - 25x² -25y² ⇒ 9/25 > x² + y² ⇒  x² + y² < (3/5)²

∴ domain of f = [ (x,y) ∈ R² : x² + y² < (3/5)²}

B) Let z = f = [tex]\frac{1}{\sqrt{9 -25x^{2} - 25y^{2} } }[/tex]

 its range is { z ∈ R² : 3z > 1}

c) let f = k ⇒ k = [tex]\frac{1}{\sqrt{9 - 25x^{2} - 25y^{2} } }[/tex]

k² ( 9 - 25x² - 25y²) = 1 =  9 - 25x² - 25y² = 1/k²

⇒ 25x² + 25y² = 9 - 1/k² ⇒ x² + y² = 1/25( 9 - 1/k²)

The level curves are circles for different k values .

d) The boundary of the function's domain

   = { (x,y) ∈ R²  x² + y² = (3/5)²}

e) Since  x² + y² < (3/5)² is the circular open disk , the domain of f is an open set

f) The domain of f { (x,y) ∈ R²  x² + y² < (3/5)² } is bounded.

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Help please whoever awnsers correctly I will put as brainliest!!

Answers

Based on the fact that the triangles are similar, the length of x is 7.2 cm and the length of y is 7.4 cm

How to find the lengths?

If the triangles are similar then it means that the difference between their dimensions can be found by a scale factor.

The scale factor is:

= Dimension of larger similar side / Dimension of smaller similar side

= 11.6 / 5.8

= 2

With a scale factor of 2, then x is:

= 3.6 x 2

= 7.2 cm

The value of y would be:

= 14.8 / 2

= 7.4 cm

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brian sells wholesome computer parts at a comission rate of 4% .what is his income last month if his total sales were 82,968.00

Answers

Brian's income last month t is $3,318.92

How to calculate the income ?

The commission rate for the computer parts is 4%

The total sales for last month is 82,968.00

Brian income last month can be calculated as follows

Total sales × commission percentage

4/100 × 82,968

= 0.04 × 82,968

= 3,318.92

Hence Brian income for last month is $3,318.92

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Read the following direct quotation, and then choose the option that paraphrases it correctly without plagiarizing the source."Among other cherished values, the First Amendment protects freedom of speech. The U.S. Supreme Court often has struggled to determine what exactly constitutes protected speech." The United States Courts website Solve the simultaneous equations y=x-x-13y=x+2 What is the y-intercept? Select the correct choice below and fill in any answer boxes within your choice. How does Bernard change throughout brave new world? Need help on homework Which of the following options correctly orders the numbers below from least to greatest? 235,9.71 , 145.884, - 271.906 -193.823 For the gaseous exchange to work efficiently, there must be a difference in concentration between the gases in blood and in alveolus. Give two ways in which these differences are maintained. (2.43u 18) (7 + 6.8u) can someone help me with these fill in the blank questions please? Mark and Dorothy are wondering what their cost of living will be the first year that they retire, based on a current living cost of $120,000 per year. Assume an inflation rate of 4% annually. How much will their annual living cost be 10 years from now?$124,800.00$240,000.00$177,629.31$1,440,732.85 does the author argue his point well?anlyze one of his arguments and explain whether or not it is an effective argument. Janet has $50 in a savings account that earns 10% annually the interest is not compounded how much interest will she earn in the next three years a nursery decides to make a grass-seed blend by mixing rye seed that sells for $6.50 per pound with bluegrass seed that sells for $3.50 per pound. the final mix is 180 pounds and sells for $5.33 per pound. how much of each type was used? On a certain hot summer's day, 435 people used the public swimming pool. The daily prices are 1.25 for children and 2.00 for adults. The receipts for admission totaled 818.25 How many children and how many adults swam at the public pool that day? PLSSS HELP IF YOU TURLY KNOW THISS billy had 15 apples. His mom took 2 and his dad took 5 for his cooking. How many apples does he have pls help with these i need them quick Please help meI need this at least in 5 hours What should you do when making a right turn at an intersection that has a designated bus lane? Which are the characteristics of an analytical argument? It is highly effective in appealing to readers' emotions. It picks apart quoted passages from the literary text. It includes formal and scientific-sounding language. It is based on evidence from the text and other reliable sources.