Calculate the value of x for the following equations. Show your working.​

Calculate The Value Of X For The Following Equations. Show Your Working.

Answers

Answer 1

Answer:

0.86603 is the answer of the question

Answer 2

Answer:

x = [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{(m-n)}[/tex]

Given

64[tex]x^{\frac{1}{2} }[/tex] = 27[tex]x^{-\frac{5}{2} }[/tex] ( divide both sides by [tex]x^{-\frac{5}{2} }[/tex] )

64 × [tex]\frac{x^{\frac{1}{2} } }{x^{-\frac{5}{2} } }[/tex] = 27

64 × [tex]x^{\frac{1}{2}-(-\frac{5}{2}) }[/tex] = 27

64 × [tex]x^{\frac{1}{2}+\frac{5}{2} }[/tex] = 27

64 x³ = 27 ( divide both sides by 64 )

x³ = [tex]\frac{27}{64}[/tex] ( take the cube root of both sides )

x = [tex]\sqrt[3]{\frac{27}{64} }[/tex] = [tex]\frac{\sqrt[3]{27} }{\sqrt[3]{64} }[/tex] = [tex]\frac{3}{4}[/tex]


Related Questions

A lemonade recipe calls for 1/4 cups of lemon juice for every cup of water.

Plot the pairs in the table in a coordinate plane

Answers

Answer:

they are in order cross x with the y across from it

Step-by-step explanation:

10. The slope of the line passing through (3, 3)
and (-3, 3) is:

Answers

Answer:

0

Step-by-step explanation:

We can use the slope formula to find the slope

m = ( y2-y1)/(x2-x1)

    = (3-3)/(-3-3)

    = 0/-6

    =0

Answer:

m = 0

Step-by-step explanation:

Use the slope formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]

[tex]\frac{3-3}{3-(-3)}\\\\ \frac{0}{6}\\\\0[/tex]

Therefore, the slope of the line is 0.

*Note that if the y values do not change as x changes, it is evidence that the slope is 0.*

Please help me find x
Need help fast!!

Answers

Answer:

x = 100°

Step-by-step explanation:

p and q are parallel lines. Construct line 'l' parallel to p and q

a = 30°   {p// l  when parallel lines are intersected by transversal alternate interior angles are congruent}

c +110 = 180  {linear pair}

c = 180  - 110

c = 70°

b= c   {q // l  when parallel lines are intersected by transversal alternate interior angles are congruent}

b = 70°

x = a + b

x = 30° + 70°

x = 100°

M.P=Rs 480, S.P= Rs 456​

Answers

Answer:

bro what to find in this question. Hope you understand me

Step-by-step explanation:

Please mark me brainliest thanks

Factor X squared minus 2X -80

Answers

Answer:

(x - 10)(x + 8)

Step-by-step explanation:

x² - 2x - 80

Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)

The factors are - 10 and + 8 , since

- 10 × 8 = - 80 and - 10 + 8 = - 2 , then

x² - 2x - 80 = (x - 10)(x + 8)

What is | −34 | ?
-------
l l
-------
l l
--------

Answers

Step-by-step explanation:

Here,

| −34 |

= 34

As,

| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1

Answer:

34

Step-by-step explanation:

|-34|

The absolute value bars means taking the non-negative value

|-34| = 34

What is the range of the function on the graph, I hope you can see it

Answers

Answer:

Option 4. All real numbers greater than or equal to 2.

I hope this will help.

Is 2(5m-4)-3(m-5)^2 equivalent to -3m^2+40m-83? Show your work.

Answers

[tex]\\ \sf\longmapsto 2(5m-4)-3(m-5)^2[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+5^2)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3(m^2-10m+25)[/tex]

[tex]\\ \sf\longmapsto 10m-8-3m^2+30m-75[/tex]

[tex]\\ \sf\longmapsto -3m^2+30m+10m-75-8[/tex]

[tex]\\ \sf\longmapsto -3m^2+40m-83[/tex]

Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.

Will mark brainliest!

Answers

9514 1404 393

Answer:

  g(x) = 7x -1

Step-by-step explanation:

The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.

  g(x) = f(x) -4

  g(x) = 7x +3 -4

  g(x) = 7x -1


Yesenia drove 45.3 miles on Monday and 3.8
miles more on Tuesday. How many miles did she
drive in all?

Answers

Answer:

49.1 milez

Step-by-step explanation:

Total miles driven=45.3+3.8=49.1 miles

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU K NOW THE ANSWER!!
The entire group of objects or individuals under consideration in a survey is the ________________.
A. population
B. establishment
C. corporation
D. entity

Answers

Answer:

A: population

Step-by-step explanation:

Um its just the definition of the word i think.

Population: a collection of persons, things, or objects under study.

Evaluate Equation

Please Help Me!!

Answers

Answer:

C

Step-by-step explanation:

7+(-4x^2) where x=0, 7+0=7

Answer:

C. 7

Step-by-step explanation:

[tex]7+(-4x^2)[/tex]

Replace x with 0

[tex]7+(-4(0)^2)[/tex]

0 squared is 0. -4 times 0 is also 0.

7+0=7

I hope this helps!

Tyrone measured the floor of his rectangular storage unit. It is 3 feet wide and 8 feet from one corner to the opposite corner. How long is the storage unit? If necessary, round to the nearest tenth.

Answers

Answer:

Rounded to the nearest tenth, 7.4 feet long.

Step-by-step explanation:

Tyrone has a rectangular storage unit. We are given the width and the diagonal length.

So we can use Pythagorean Theorem.

3^2 + b^2 = 8^2

9 + b^2 = 64

subtract 9 from both sides

b^2 = 55

b = sqrt55

b is around 7.4161984871, so b rounded to the nearest tenth is 7.4 feet long.

Jackson has 5 boxes of 3 golf balls. Elsa
gives Jackson 2 more boxes of 3 golf
balls. How many golf balls does Jackson
have now?

Answers

15

five three times is equal to fifteen

1. thực hiện phép nhân
a) (2x-1)(x-8)
b) (x^2-3)(2x+4)
c) (2x-1)x+x^2-2(x-3)
d) x(2x-6).(-3x)+9x(x-1)
e) 2x(x^2-3x)-(x+1)(x^2-2)
f)3x(x-1)+x^2(x-2)+3(x-1)(x+1)

Answers

Answer:

Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :).................

Step-by-step explanation:

Help me asap im not good at math

Answers

Answer:

[tex] > [/tex]

Step-by-step explanation:

The denominators are the same so, you have to look at the numerator which is greater, - 1 is greater because it's close to 0

It would be < because the one on right is greater

can you please tell me the answer I don't know ​

Answers

Answer:

1)

=6-15+7

=6-22

=-16 answer

2)

=7×40/5

=Then,7×8

=56 answer

is there any responsible way to use student loans why or why not

Answers

Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.

Step-by-step explanation:

Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q

unwanted ans will be reported

Answers

If it has infinite solutions

[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]

[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]

[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]

[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]

[tex]\\ \sf\longmapsto -p-q=6[/tex]

[tex]\\ \sf\longmapsto p+q=-6[/tex]

[tex]\\ \sf\longmapsto p=-6-q[/tex]

Take p as 1

.q=-6-1=-7

convert 7 and 1/3 into a improper fraction

Answers

Answer:

22/3.

Step-by-step explanation:

7 1/3

= (7*3 + 1)/3

= 22/3.

2. If you move 50 meters in 10 seconds, what is your speed?

Answers

Answer:

5 meters per second

Step-by-step explanation:

Find your speed by dividing the number of meters traveled by the number of seconds it took:

50/10

= 5

Your speed is 5 meters per second.

Answer:

5 m/sec

Step-by-step explanation:

The speed would be calculated as follows, as a unit rate:

 50 m

----------- = 5 m/sec

10 sec

please help me I'd appreciate it so much!! (no links)
Which of the following pairs of triangles can be proven similar through SAS similarity? Question options: A) image B) image C) image D) image

Answers

Answer:

C

Step-by-step explanation:

There are two corresponding angles shown and one included angle meaning the angle is in-between the two sides, allowing this to be characterized by SAS similarity.

what is the product of (3 + x) and (2x – 5)

Answers

Answer:

2x² + x - 15

Step-by-step explanation:

(3 + x)(2x - 5)

Each term in the second factor is multiplied by each term in the first factor, that is

3(2x - 5) + x(2x - 5) ← distribute both parenthesis

= 6x - 15 + 2x² - 5x ← collect like terms

= 2x² + x - 15

(PLEASE ANSWER ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER PLEASE EXPLAIN ALSO)

Answers

Answer:

37.15 pounds left

Step-by-step explanation:

Add the two pound values

1.3+1.75= 3.05

Subtract it from the total number of pounds in the bag

40.2-3.05

=37.15

So you would start by adding up the total amount he ate. So that would be

1.3 + 1.75 = 3.05

Then you have to subtract the amount he ate from the total amount.

40.2 - 3.05 = 37.15

So your answer would be 37.15 let me know if you don’t understand something, more than happy to help.

on this necklace the ratio of black beads to white beads is 1:4 How many more black beads do you need to add to make the ratio of black to white 4:1 ?

WILL GIVE BRAINLIEST!!!

Answers

Answer = 15 black beads

1:4 = 1 black bead and 4 white beads
4:1 = 16:4
16 - 1 = 15 black beads

Solve the square of this equation with explanation as I don’t understand please

Answers

Answer: The two solutions are x = -4 and x = -6

===========================================================

Explanation:

Cut the x coefficient (10) in half to get 10/2 = 5. Then square this to get 5^2 = 25.

We'll add 1 to both sides so that the "24" turns into "25", thereby completing the square

x^2 + 10x + 24 = 0

x^2 + 10x + 24+1 = 0+1

x^2 + 10x + 25 = 1

Notice on the left hand side we have something of the form A^2+2AB+B^2 where A = x and B = 5. We can factor this into (A+B)^2, which is the whole reason why we completed the square. You can use the FOIL rule to see how (A+B)^2 expands out into A^2+2AB+B^2. Factoring reverses this process.

This means x^2+10x+25 factors to (x+5)^2 and we now have these steps

(x+5)^2 = 1

x+5 = sqrt(1) or x+5 = -sqrt(1)

x+5 = 1 or x+5 = -1

x = 1-5 or x = -1-5

x = -4 or x = -6 are the two solutions

------------------

Let's check x = -4 to see if it works or not

x^2 + 10x + 24 = 0

(-4)^2 + 10(-4) + 24 = 0

16 - 40 + 24 = 0

-24 + 24 = 0

0 = 0

We get a true equation. That confirms x = -4 is a solution.

If we tried x = -6, then,

x^2 + 10x + 24 = 0

(-6)^2 + 10(-6) + 24 = 0

36 - 60 + 24 = 0

-24 + 24 = 0

0 = 0

That x value is confirmed as well.

1) Jack and Jill have a Jill have a combined age of 25. Jack is 3 years older than Jill. How old are they?

2) A rectangle has an area of x^2+7x+12. Find the length and the width of the rectangle.

Answers

Answer:

1.) Jill = 11 yrs & Jack = 14 yrs. | 2.) (x + 4)(x + 3)

Step-by-step explanation:

1.)

Let j = Jill's age.

[tex]j+(j+3)=25\\2j+3=25\\2j=22\\j=11\\\\\\(11)+3=14[/tex]

Therefore, Jill is 11 and Jack is 14.

2.)

[tex]x^2+7x+12\\(x+4)(x+3)[/tex]

what’s is the quotient for the rational expression shown below?

Answers

Answer:

D

Step-by-step explanation:

D is the correct answer

Please help explanation if possible

Answers

Answer:

612 adults

361 students

Step-by-step explanation:

To solve this question, set two equations:

Let x be number of adults and y be number of students.

As there are in total 937 people, the equation would be the sum of both adults and children:

[tex]x+y=937[/tex]

[tex]x=937-y[/tex]  ...... ( 1 )

As the total sale amount is $1109, the equation would be to add up the ticket fee:

[tex]2x+0.75y=1,109[/tex]  ...... ( 2 )

Put ( 1 ) into ( 2 ):

[tex]2(937-y)+0.75y=1,109[/tex]

[tex]1874-2y+0.75y=1,109[/tex]

[tex]-1.25y=-765[/tex]

[tex]y=763/1.25[/tex]

[tex]y=612[/tex]

Put y into ( 1 ):

[tex]x=973-612[/tex]

[tex]x=361[/tex]

Therefore there are 612 adults and 361 students.

Find the area of the rectangle with the length 2x-4 and height of -3

Answers

Answer:

-3(2x-4) or -6x+12

Step-by-step explanation:

Area is H*W

theres no value for x so that would be it, unless there is then all you do is plug that into the answer I put.

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