Solve for X
Pls give your working out as well x

Solve For X Pls Give Your Working Out As Well X

Answers

Answer 1

[tex]3^{x-2} = \left(\dfrac 13 \right)^{\sqrt x}\\ \\\implies 3^{x -2} = \left(3^{-1} \right)^{\sqrt x} \\\\\implies 3^{x-2} = 3^{-\sqrt x}\\\\\implies x -2 = -\sqrt x\\\\\implies (x-2)^2 = \left(-\sqrt x \right)^2\\\\\implies x^2 -4x +4 = x\\\\\implies x^2 -5x +4 =0\\\\\implies x^2 -4x-x+4=0\\\\\implies x(x-4) -(x-4)=0\\\\\implies (x-1)(x-4)=0\\\\\implies x = 1~~~~~~;[x = 4 ~ \text{Does not satisfy the original equation}]\\\\\text{Hence, x =1 is the solution.}[/tex]


Related Questions

Plsss help

Explain how the shapes shown have been sorted. ​

Answers

Answer:

A have no right angles and B had all right angles.

what is the value of the expression m+(7•9)/n when m = 2.5 and n= 5

A.) 13/5

B.) 13/10

C.) 15/11

D.) 15/17


29 BRAINLY POINTS PLUS USER!!!!​

Answers

Answer:

13/5

Step-by-step explanation:

Given:

m = 12n = 3/5

Substitute the values into the expression:

⇒ 1/2(m ÷ 3) + n

⇒ 1/2(12 ÷ 3) + 3/5

Simplify the expression:

⇒ 1/2(12 ÷ 3) + 3/5

⇒ 1/2(4) + 3/5

⇒ 1/2 x 4 + 3/5

⇒ 2 + 3/5

Make common denominators:

⇒ 2 + 3/5

⇒ (2 x 5/1 x 5) + 3/5

⇒ 10/5 + 3/5

Simplify by adding:

13/5

The lengths of two sides of a triangle are 10 and 24, and the third side is x. How many whole number values are possible for x.

Answers

Answer:

[tex]20[/tex].

Step-by-step explanation:

In any triangle, the sum of the lengths of any two sides should be strictly greater than the length of the third side. For example, if the length of the three sides are [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex]:

[tex]a + b > c[/tex],

[tex]a + c > b[/tex], and

[tex]b + c > a[/tex].

In this question, the length of the sides are [tex]10[/tex], [tex]24[/tex], and [tex]x[/tex]. The length of these sides should satisfty the following inequalities:

[tex]10 + 24 > x[/tex],

[tex]10 + x > 24[/tex], and

[tex]24 + x > 10[/tex].

Since [tex]x > 0[/tex], the inequality [tex]24 + x > 10[/tex] is guarenteed to be satisfied.

Simplify [tex]10 + 24 > x[/tex] to obtain the inequality [tex]x < 35[/tex].

Similarly, simplify [tex]10 + x > 24[/tex] to obtain the inequality [tex]x > 14[/tex].

Since [tex]x[/tex] needs to be a whole number, the greatest [tex]x[/tex] that satisfies [tex]x < 35[/tex] would be [tex]34[/tex]. Similarly, the least [tex]x\![/tex] that satisfies [tex]x > 14[/tex] would be [tex]15[/tex]. Thus, [tex]x\!\![/tex] could be any whole number between [tex]15\![/tex] and [tex]34\![/tex] (inclusive.)

There are a total of [tex]34 - 15 + 1 = 20[/tex] distinct whole numbers between [tex]15[/tex] and [tex]34[/tex] (inclusive.) Thus, the number of possible whole number values for [tex]x[/tex] would be [tex]20[/tex].

Omar paid $23.60 for 29.5 centimeters of wire. Find unit price in dollars per centimeter

Answers

Answer:

$0.80

Step-by-step explanation:

$23.60 divided by 29.5cm = $0.80 per cm.

A guy wire runs from the top of a cell tower to a metal stake in the ground. Joseph places a 8-foot tall pole to support the guy wire. After placing the pole, Joseph measures the distance from the stake to the pole to be 8 ft. He then measures the distance from the pole to the tower to be 25 ft. Find the length of the guy wire, to the nearest foot.

Answers

to solve this equation, we need to use the pythagorean theorem.
if 8^2+25^2=the guy wire^2
64+625=the guy wire^2
689=the guy wire^2
the guy wire is 26.25 feet long.

Can someone help I will mark u brilliant

Answers

Answer:

50

Step-by-step explanation:

We are finding the surface area of a circle here. which is pie r ^2 ( the formula) so the radius is 4. So we do pie 4^2 which equals 50.26548246 which is approximately 50.

Answer:

First, we must know the formula for the area of a circle.

The formula for the area of a circle is;

A = π[tex]r^{2}[/tex]

Where 'π' is pi(22/7 or 3.14), and 'r' is the radius which is being squared.

Plug in what you know;

R(radius) = 4 feet.

So,

A = π[tex]r^{2}[/tex]

Will be;

A = π(4^2) ← what I mean by " ^ ", I mean "to the power of".

Simplify:-

A = 3.14(16)

A = 50.24 feet is the area.

What is the range of this set of test scores?
My Science Test Scores:
82, 85, 87, 68, 74, 90, 92, 78, 89, 95, 94, 94
Science Test Scores
See
Leaf
6
1
48
3
2579
24.45
Xay 61 868

Answers

Answer:

range = 27

Step-by-step explanation:

the range is the difference between the largest and smallest values in the data set.

largest = 95 , smallest = 68

range = 95 - 68 = 27

Answer:

46

Step-by-step explanation:

Suppose that a weight loss company advertises that people using its program lose an average of 8 pounds the first month, and that the Federal Trade Commission is gathering evidence to see if this advertising claim is inaccurate. Suppose that a 99% confidence interval for the average weight loss during the first month in the program, in pounds, is (7.92, 7.98), based on a large sample of patrons.
a. How strong is the statistical significance in the claim that on average people in fact lose less than 8 pounds?

Answers

Answer:

(a) Since the upper limit of the 99% confidence interval is less than

Step-by-step explanation:

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

What is hypothesis testing?

Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.

It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.

We have,

The null hypothesis is that the average weight loss during the first month is equal to 8 pounds, and the alternative hypothesis is that the average weight loss is less than 8 pounds.

Since the 99% confidence interval does not include the value of 8, we can reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Thus,

We reject the null hypothesis at the 1% level of significance and conclude that there is strong statistical evidence to suggest that people in fact lose less than 8 pounds on average during the first month of the weight loss program.

Learn more about hypothesis testing here:

https://brainly.com/question/30588452

#SPJ2

could i have super quick help before i'm out of time?

Answers

Answer:

Part (a)

Given quadratic: [tex]y=x^2+2x-8[/tex]

Factored form

To factor, find two numbers that multiply to -8 and sum to 2: 4 and -2

Rewrite the middle term of the quadratic as the sum of these number:

[tex]\implies y=x^2+4x-2x-8[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies y=x(x+4)-2(x+4)[/tex]

Factor out the common term [tex](x+4)[/tex]:

[tex]\implies y=(x-2)(x+4)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies (x-2)(x+4)=0[/tex]

[tex]\implies (x-2)=0\implies x=2[/tex]

[tex]\implies (x+4)=0\implies x=-4[/tex]

Therefore, the zeros are 2 and -4

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-4+2}{2}=-1[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]y=(-1)^2+2(-1)-8=-9[/tex]

Therefore, the vertex is (1, -9)

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

Part (b)

Given quadratic:  [tex]y=-x^2-9x-14[/tex]

Factored form

To factor, first factor out -1:

[tex]y=-(x^2+9x+14)[/tex]

Now find two numbers that multiply to 14 and sum to 9: 7 and 2

Rewrite the middle term of the quadratic as the sum of these number:

[tex]y=-(x^2+2x+7x+14)[/tex]

Factorize the first two terms and the last two terms separately:

[tex]y=-(x(x+2)+7(x+2))[/tex]

Factor out the common term [tex](x+2)[/tex]:

[tex]y=-(x+7)(x+2)[/tex]

Zeros

The zeros of the quadratic polynomial are the x-coordinates of the points where the graph intersects the x-axis, i.e. when y = 0

[tex]\implies y=0[/tex]

[tex]\implies -(x+7)(x+2)=0[/tex]

[tex]\implies -(x+7)=0 \implies x=-7[/tex]

[tex]\implies (x+2)=0 \implies x=-2[/tex]

Therefore, the zeros are -7 and -2

Vertex

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\textsf{midpoint}=\dfrac{-7+(-2)}{2}=-4.5[/tex]

To find the y-coordinate of the vertex, substitute the found value of x into the given equation:

[tex]y=-(-4.5)^2-9(-4.5)-14=6.25[/tex]

Therefore, the vertex is (-4.5, 6.25)

solve this following equations. 1.x-2/5-x-4/2=2​

Answers

Answer: hii

There are no values of x

that make the equation true.

Step-by-step explanation:

No solution.

hopefully this helps you.

- Matthew

One number is 4 more than another number. If the greater number is x, what is the other number?

Answers

first number: x

second number: x -4

100 points please help me
I need it

Answers

Answer:

[tex]x=20\\\\m\angle B = 92^{\circ}\\\\m\angle C = 40^{\circ}[/tex]

Step by step explanation:

[tex]~~~m\angle A +m\anglee B + m\angle C =180^{\circ}\\\\\implies 48+6x-28+2x = 180\\\\\implies 8x +20 = 180\\\\\implies 8x = 180 -20 = 160\\\\\implies x = \dfrac{160}8=20\\\\\\m\angle B = (6x -28)^{\circ} = (6\cdot 20 -28)^{\circ}=92^{\circ}\\\\m\angle C = (2x)^{\circ} = (2\cdot 20)^{\circ}=40^{\circ}[/tex]

which one is a vertical line through the point (3;5)​

Answers

A vertical line going through any given point would pass through the x-coordinate.

In this case, the x-coordinate is 3. Therefore, the vertical line that would pass through the point (3, 5) is x = 3.

Hope this helps!

PLEASE ANSWER ASAP WILL GIVE brainiest TO THE FIRST CORRECT ANSWER

You are hired by a state park and recreation department to determine whether it would be more economical to construct a walking bridge across a gorge or a walking path around it. The path involves walking 1170 feet, taking a 90° left turn, and walking another 520 feet. The path costs $6 per foot, and the bridge costs $11 per foot. The bridge is the preferred option when it is within $1500 of the path’s cost. Which option should you recommend? Explain. Be sure to use numbers in your explanation to support your decision.

Answers

The hypotenuse of the right triangle which is the bridge is not the preferred option because it cost is above $1500.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. The sides can be found using pythagoras theorem.

Therefore, the hypotenuse side is the bridge length.

c² = a² + b²

where

c = hypotenusea and b are the other legs

Hence,

c² = 1170² + 520²

c² = 1368900 + 270400

c = √1639300

c = 1280.35151423

The bridge is the prefered option when the cost is within $1500. Therefore,

cost of the bridge = 11 × 1280.35151423 = $14083.87

Therefore, the bridge is not the prefered option

learn more on right triangle here: https://brainly.com/question/27309330

I dont know how to answer this

Answers

Answer:

sorry the image isnt clear

Answer:

Can you post it again but clearer

Slope Equations
What is the equation of the line that passes through the point (0,-4) and has a slope of 5?

y = 5x – 4
y= - 4x – 5
y= -5x +4
y=2x - 4

Answers

Linear Equations

Linear equations are typically organized in slope-intercept form:

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

m = slopeb = y-intercept (the value of y when x=0)

Solving the Question

We're given:

m = 5The line passes through the point (0,-4)

Because the slope of the line is 5, we know that the m value in y=mx+b has to be 5. This rules out all the options except for the first, which is the only equation in which the m vaue is 5.

On top of that, we know that the y-intercept occurs when x=0. Given that the line passes through the point (0,-4), we know that the y-intercept is -4.

The equation in the first option tells us this as well, as it has -4 as the b value in y=mx+b.

Answer

y = 5x - 4

plss help :))))))))))))))))))))))))))))))))))))))))))))))))))0

Answers

Step-by-step explanation:

Diameter is 18

So radius will be d/2 which is 9

As the formula of area is

[tex] \pi{\r}^{2} [/tex]

So put the vales

We get s

254

PLEASE MARK ME BRAINLIEST IF MY ANSWER IS CORRECT PLEASE

how to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3

Answers

Answer:

The area is 4.

Step-by-step explanation:

hope this helps.

Solve:........................
[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} [/tex]

Answers

Answer:

[tex] \frac{x}{3} + 4 = \frac{4x - 1}{5} \\ \\ \frac{x}{3} + \frac{12}{3} = \frac{4x - 1}{5} \\ \\ \frac{x + 12}{3} = \frac{4x - 1}{5} \\ \\ 3(4x - 1) = 5(x + 12) \\ \\ 12x - 3 = 5x + 60 \\ \\ 12x - 5x = 60 + 3 \\ \\ 7x = 63 \\ \\ x = \frac{63}{7} \\ \\ x = 9[/tex]

A tennis racquet bought for €95 was then sold for €132. Find the profit as a percentage of the cost
price.

Answers

Answer:

38.95%

Step-by-step explanation:

profit%= profit/cost price ×100

37/95×100

0.38×100

profit%=38.95

20. A centimeter is 1/100t of a meter, while a kilo-
meter is equal to 1000 meters?
a. True
b. False

Answers

Answer:

I think it true?

I is correct?

my brainlist answer please. <:(

What net is shown below?
triangular prism
rectangular prism
O square pyramid
triangular pyramid

Answers

Answer:

Rectangular Prism

as Opposite sides are equal

Answer:

rectangular prism because it has dimensions of 5 sides and if you fold it, it would turn into a rectangular prism


Select the correct answer.

Prontas Inc. has issued shares worth $1,000,000 to raise fund for its business. Which activity of the cash flow statement will recognize this
inflow of cash?


A non-operating activities

B. investing activities

C. operating activities

D. financing activities

Answers

Answer:

B. -- investing activities

Step-by-step explanation:

Hope this helps! Please let me know if you need more help or think my answer is incorrect. Brainliest would be MUCH appreciated. Also remember to rate answers to help other students, While leaving thanks to answers that help you. Have a great day!

Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 6 feet and a height of 18 feet. Container B has a diameter of 8 feet and a height of 17 feet. Container A is full of water and the water is pumped into Container B until Container A is empty. To the nearest tenth, what is the percent of Container B that is empty after the pumping is complete?​

Answers

The percent of container B that is left after pumping the water of Container A full in it is 40 per cent .

Step by step explanation :

Given -

Two containers ( Container A & Container B ) in shape of cylinders.Diameter of Container A = 6 feetHeight of Container A = 18 feet Diameter of container B = 8 feet Height of Container B = 17 feet

To find -

The percent of container B that is left after pumping the water of Container A full in it.

Solution -

Firstly, we have to find how much water each container can hold i.e. volume of containers .

We know that -

[tex] \boxed{ \mathfrak \purple{volume \: of \:cylinder = \pi {r}^{2} h} }[/tex]

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

For Container A

Given, diameter = 6 feet

.•. Radius = [tex] \frac{6}{2} [/tex]

[tex] = 3 \: \mathfrak{feet}[/tex]

Height = 18 feet

•.• Volume of Container A = [tex] \frac{22}{7} \times {3}^{2} \times 18[/tex]

[tex] = \frac{22}{7} \times 3 \times 3 \times 18[/tex]

[tex] = \frac{3564}{7} [/tex]

[tex] = 509.142857 \:{ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth . ..

[tex] => 510 \: \mathfrak{ {feet}^{3} }[/tex]

For Container B

Given, Diameter = 8 feet

.•. Radius = [tex] \frac{8}{2} [/tex]

[tex] = 4 \: \mathfrak{feet}[/tex]

Height = 17 feet

•.• Volume of Container B = [tex] \frac{22}{7} \times {4}^{2} \times 17[/tex]

[tex] = \frac{22}{7} \times 4 \times 4 \times 17[/tex]

[tex] = \frac{5984}{7} [/tex]

[tex] = 854.857143 \: {ft.}^{3} \mathfrak{(approximately)}[/tex]

Rounding off to the nearest tenth. ..

[tex] => 850 \: \mathfrak{ {feet}^{3} }[/tex]

Now,

Volume container B that is left after pumping the water of Container A in it = Volume of Container B - Volume of Container A

= ( 850 - 510 ) ft^3

= 340 ft^3

Now ,

The percent of container B that is left after pumping the water of Container A in it = Volume container B that is left after pumping the water of Container A /Total volume of Container B × 100

[tex] = \frac{340}{850} \times 100[/tex]

[tex] = \boxed{ 40 \: \%}[/tex]

1 Whatis the value ofthe expression y 1/2 +z)+6 ( 2 + when y= 2 and 7 = 3 ? 4
.A) 57/8

.B) 19/2

.C) 17/2

.D) 22/3

30 BRAINLY points plus user!!!​

Answers

2(1/2+3/4)+6=

17/2 or 8.5

The answer is C

Answer:

Option C

Step-by-step explanation:

Given:

[tex]y = 2[/tex]

[tex]z = \dfrac{3}{4}[/tex]

Substitute the values into the expression:

⇒ y(1/2 + z) + 6

⇒ 2(1/2 + 3/4) + 6

Make common denominators in the parenthesis:

⇒ 2(1/2 + 3/4) + 6

⇒ 2(2/4 + 3/4) + 6

Simplifying the expression:

⇒ 2(5/4) + 6

⇒ 2 × 5/4 + 6

**Keep in mind that multiplication first, then addtion

⇒ 10/4 + 6

Make common denominators:

⇒ 10/4 + 24/4

⇒ 34/4

Simplify the fraction:

17/2 (Option C)

Select the correct answer.
If the graphs of the linear equations in a system are the same line, what does that mean about the possible solution or solutions of the system?

A.
There is exactly one solution.
B.
There is no solution.
C.
There are infinitely many solutions.
D.
The lines in a system cannot graph as the same line.

Answers

Answer:

C

Step-by-step explanation:

What is the perimeter of a 6-inch square? 20 inches 24 inches 18 inches 14 inches

Answers

the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.

Answer:

24 inches

Step-by-step explanation:

the perimeter of a square with a side measurement of 6 inches is equal to 24 inches.

HELPP ASAPP (BRAINIEST SBB )

Answers

Answer:

The one to the upper right, with a triangle on opposite ends of both sides. It looks like the one in the photo I included.

Step-by-step explanation:

I hope this helps! Have a lovely day!! :)

What is the estimated temperature if the dissolved salt is 98g?

54
61
161
171

Answers

Ths solubility curve is used to show the amount of salt dissolved (solubility).

What is the solubility curve?

The solubility curve is a depiction of the solubility of a substance plotted against its temperature. It can be used most times to show the solubility of a susbtance at different temperatures. This question is incomplete hence so we can not be able to obtain the solubility of the salt at this temperature.

If the solubility curve has been shown in the graph, then we can be able to obtain the solubility of the salt from the data shown on the plot.

Learn more about solubility curve: brainly.com/question/9537462

Without graphing, determine the number of solutions to the system of equations.
{6x−4y=9, 12x−8y=18
Select the correct answer below:


no solution

one solution

infinitely many solutions

Answers

Answer:

Infinitely many solutions

Step-by-step explanation:

(1) ---- 6x - 4y = 9

(2)---- 12x - 8y = 18

If you multiply (1) by 2 12x - 8y = 18 --- (3)

and then when you compare (2) and (3), you'll find that you still can't find the value of X and Y therefore, there's infinitely many solutions

Answer:

Infinitely Many Solutions!!

Step-by-step explanation:

You need to do elimination method!!

This is because we need to top the equation to cancel out and become negative.  

6x−4y=9

12x−8y=18

You could do 6x and everything multiplied by -2. But 4y can do the same too!!

I rather do 4y x -2!

-12x+8y=-18

12x−8y=18

Everything cancels out!!

0=0

But 0 equals to 0 goes on forever so the answer is infinite solutions!!

**The reasoning behind the two other choices**

No solution would be like -3=0 which is not our case!!

One solution has something that goes into everything evenly!

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