Solve for x
[tex]8 {}^{2 + x} + 2 {}^{3x} = 32 {}^{ \frac{1}{2} } [/tex]

Answers

Answer 1

Answer:

8^2+x + 2^ 3x = 32^ 1/2

2^3(2+x) + 2^3x = 2^5^1/2

All two's will cancel out

3(2+x) + 3x = 5^1/2

6+3x + 3x = 5^1/2

6 +6x = 2.23

6x = 2.23 - 6

6x = -3.77

x = -3.77÷ 6

x = -0.63


Related Questions

in a survey of 100 cars,47 were white,23 were blue and 30 were red.express each of these numbers as a percentage of the total.

Answers

Answer:

white- 47%   Blue-23% Red- 30%

Step-by-step explanation:

White cars- (47/100)*100= 47%

Blue cars- (23/100)*100=23%

Red cars- (30/100)*100=30%

[tex]2x^2+8x-7=-2[/tex]


Please help me with this. I know the answer for this. But the answer I got differs from the one in the answer sheet. So Please tell me what you think is the answer

Answers

Answer:

x = -2 ±√(13/2)

Step-by-step explanation:

can the angles with measures 80o , 55o and 65o form angles on a line

Answers

Answer:

Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees

No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.

In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.

Let's calculate the sum of the given angles:

Sum = 80° + 55° + 65°

       = 200°

Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.

In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.

Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.

To know more about Linear Angles here

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Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4

Answers

Answer:

8x + 4

Step-by-step explanation:

You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4

If all the members of a team are juniors or seniors, and if the ratio of juniors to seniors on the team is 3:5, what percent of team members are seniors?

Answers

Answer:

S = 62.5%

Step-by-step explanation:

Let the junior members be J.Let the senior members be S.

Given the following data;

Ratio of J:S = 3:5 = 3 + 5 = 8

To find what percent of team members are seniors;

[tex] S = \frac {5}{8} * 100 [/tex]

[tex] S = \frac {500}{8} [/tex]

S = 62.5%

Additionally, to find what percent of team members are juniors;

J = 100 - S

J = 100 - 62.5

J = 37.5%

Place parenthesis
in the following
equation to make
it true:
7+7–7 ÷7+7•7= 7

Please answer I will give you a lot of points!!

Answers

9514 1404 393

Answer:

  7+(7–7) ÷(7+7•7)= 7

Step-by-step explanation:

The difference 7 - 7 provides an opportunity to zero out everything to its right. That's what we've done in this version:

  7 +(7 -7) ÷ (7 +7×7) = 7 . . . our version of the equation

  7 +0 ÷ (7 +49) = 7 . . . . . multiplication inside parentheses first

  7 +0 ÷ 56 = 7 . . . . . . . . parentheses first

  7 +0 = 7 . . . . . . . . . . . . division before addition

Simplify 6(x + 3).

6x + 3
x + 18
6x + 18
6x + 9

Answers

Answer:

the answer of this question is = 6x + 18

witch one is greater 428,745 or 428,745

Answers

They are the same amount. neither is greater or lesser than the other.

Write an equation of the line that passes through the point (2, -3) and has a
slope of -1.

Answers

Answer:

Y = -1x - 1

Step-by-step explanation:

I used desmos graphing calculator and tried until I got a line that worked.  It passes through (2, -3) and has a slope of -1

Hope this helped :)

The triangle inequality

Answers

The answer is the first choice: 7, 15, 20.
When you want to know what three numbers can make up a triangle. All you have to do is take the first two numbers and add them up. If the sum is larger than the third number, it can form a triangle. If the sum of the first two numbers are smaller than the third number, it cannot form a triangle.
Hope this helped

Substitute w = 4 into the following expression
10 – 4w​

Answers

Answer:

-6

Step-by-step explanation:

Substitute as in replace "w" with 4

10-4(4)

Multiply -4 and 4

-16

10-16=-6

Hope this helps

Answer:

-6 it wouldnt let me post this without having 20 letters in my answer

Step-by-step explanation:

10 - 4*4 = -6.

Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.

Answers

Your answer will be 1733.489333ft³
When rounding it will be
1733.1ft³
My rounding might be wrong
Hope it helps : )

Find the measures of angles 1, 2, & 3.

Answers

Mark Brainliest please

Answer : angle 1 = 68 degrees ( opposite angles are equal )
Angle 3 = 180-68 =112 degrees
Angle 2 = 112 ( Opposite angle)

Answer:

1=68 (Vertically opposite angles are equal)

2= 112 (sum of angles on a straight line gives 180°)

3=112 (vertically opposite angles are equal)

The base of triangle M is four times the base of tri-
angle N, while the height of triangle N is half the
height of triangle M. The area of triangle M is how
many times that of triangle N ?

Answers

Answer:

two times

Step-by-step explanation:

ΔM:  let 'h' = height; let '4b' = base

ΔN:  let 'h/2' = height; let 'b' = base

Area (ΔM) = 2bh

Area (ΔN) = bh

Find the value of x and the measure of the exterior angle. (9x+16) (5x-14)

Answers

Answer:

[tex]x = 15 \: \: .....(5(15)- 14) = 61[/tex]

[tex](9x + 16 )= (5x - 14) + 90 \\ 9x - 5x = 90 - 14 - 16 \\ 4x = 60 \\ x = \frac{60}{4} \\ x = 15[/tex]

Which expression can go in the blank to make the equation true?
-2.9 + 2.8 + ____________ = 0

Answers

Answer:

+0.1

Step-by-step explanation:

when we subtract 2.9 and 2.8 we get -0.1 and to make it zero we have to keep +0.1

When u subtract the to u get -0.1 so u got to add the the zero to get the positive 0.1

The circumference of a circle can be found using the formula C = 2r.

Which is an equivalent equation solved for r?

r = C
r = C(2)
r = r equals StartFraction C Over 2 pi EndFraction.
r = r equals StartFraction 2 pi Over C EndFraction.

Answers

Answer:

r = C/(2π)

Step-by-step explanation:

C = 2πr

Divide both sides by 2π

C/(2π) = r

r = C/(2π)

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r equals StartFraction C Over 2 pi EndFraction is the correct answer.

What is a circle?

A circle is simply a closed 2-dimensional curved shape with no corners or edges. The total length of the boundary of a circle is referred to as a circumference. It is expressed as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.14 )

Now, if the circumference C = 2πr, lets make radius r the subject of the formula.

C = 2πr

Divide both sides by 2π

C/2π = 2πr/2π

C/2π = r

r = C/2π

Given that the circumference of a circle, its radius r becomes r = C/2π.

Option C) r = start fraction C over 2 pi end fraction is the correct answer.

Learn more about circles here: brainly.com/question/11952845

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test the validity of these statement "if my brother stands first in the class, i give him a watch . Either he stood first or I was out of the station I did not give my brother a watch this time . Therefore I was out of station.

Answers

Answer: yeah looks logically correct

Step-by-step explanation: I he got the watch he was 1st

Fact is he didn't get the watch therefore he wasn't first

Therefore 2nd holds true also - if not first then not in station

No watch = not in station

Total cost for cookie and lemonade is 1.80. If lemonade costs 1.00 more than the cookie, how much was the lemonade?

Answers

Answer:

The lemonade costs 1.4.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the cost of a cookie.

y is the cost of a lemonade.

Total cost for cookie and lemonade is 1.80.

This means that [tex]x + y = 1.8[/tex].

As we want y, we have that [tex]x = 1.8 - y[/tex]

Lemonade costs 1.00 more than the cookie?

This means that:

[tex]y = x + 1[/tex]

So

[tex]y = 1.8 - y + 1[/tex]

[tex]2y = 2.8[/tex]

[tex]y = \frac{2.8}{2}[/tex]

[tex]y = 1.4[/tex]

The lemonade costs 1.4.

Complete the Steps to Solve the Equation -13x-11=-37

-13x-11=-37
-13x=

Answers

Uhhmmm sorry to my friend I have to go

Answer:

x=2

Step-by-step explanation:

-13x-11=-37                             Original equation

-13x=-26                                 Add 11 to both sides

x=2                                         Divide both sides by -13

Given f(x) = 2x - 7 and g(x) = 3x + 2, find (fog)(x).​

Answers

Answer:

(fog)(x)=6x-3

Step-by-step explanation:

In this problem, we are looking to find f of g of x. Simply put, we just have to plug g(x) into f(x). Whereever there is an x in f(x), we will replace with g(x).

[tex](fog)(x)= 2(g(x))-7\\(fog)(x)=2(3x+2)-7\\(fog)(x)=6x+4-7\\(fog)(x)=6x-3[/tex]

I hope this helps! Let me know if you have any questions :)

2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles

Answers

Answer:

2

Step-by-step explanation:

Which of the following does not represent a function?

Answers

C, the circle because it fails the vertical line test.
It’s C because I did the math I hope you get the right answer and a good day

Convert the following to ordinary numbers
a) 8.39 x 104
b) 3.84x10-3

Answers

Answer:

8.34 ×10^4 as in sceintific notation so in normal

8.39×10^4 = 83900

and 3.84 × 10^-3 = 0.00384

Hope it helps

Need help please!! :)

Answers

Answer:

[tex]A: (-3,1)[/tex]

[tex]B:(-1,-1)[/tex]

[tex]d=\sqrt{(-3-(-1)^{2} +(-1(-1))^{2} }[/tex]

[tex]=\sqrt{(-2)^{2}+(2)^{2} }[/tex]

[tex]=\sqrt{4+4}=\sqrt{8}[/tex]

[tex]=2\sqrt{2} =2.8[/tex]

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

hope it helps..

have a great day sis ^_^!!!

Answer:

Coordinates of :-

A= (-3,1)

B= (-1,-1)

Distance AB= [tex]\sqrt{-2+3)^{2}+(-1-1)^{2} }[/tex]

[tex]\sqrt{(2)^{2} +(-2)^{2} }[/tex][tex]=\sqrt{4+4}[/tex][tex]=\sqrt{8}[/tex][tex]=2.8[/tex]

OAmalOHopeO

What are the zeros of the quadratic function f(x) = 2x2 – 10x – 3?

Answers

Answer:

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Step-by-step explanation:

[tex]2x^2 - 10x - 3 = 0 \\\\a = 2 \ , b = - 10 \ , \ c = - 3 \\\\x = \frac{-b^2\ \pm \ \sqrt{b^2 - 4ac}}{2a}\\\\x = \frac{10 \ \pm \sqrt{(-10)^2 - ( 4 \times 2 \times -3)} }{2 \times 2}\\\\x = \frac{10 \ \pm \sqrt{(100 - ( -24 )} }{4}\\\\x = \frac{10 \ \pm \sqrt{(100 + 24 } }{4}\\\\x = \frac{ 10 \ \pm \sqrt{124}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{4 \times 31}}{4}\\\\x = \frac{ 10 \ \pm \sqrt{2^2 \times 31}}{4}\\\\x = \frac{ 10 \ \pm2 \sqrt{31}}{4}\\\\x = \frac{ 5 \ \pm\sqrt{31}}{2}\\\\[/tex]

[tex]x = \frac{ 5 \ + \ \sqrt{31}}{2} \ , \ x = \frac{ 5 \ - \ \sqrt{31}}{2}[/tex]

Points A(7, -5), B(-1, -2), and C(-4, 6) form triangle ABC on a coordinate plane. According to its sides, triangle ABC is a(n)
triangle

Answers

The answer is scalene

what is the slope of this line? y=-3x+1

Answers

Answer:

The slope is -3, also written as -3/1.

Answer:

-3

Step-by-step explanation:

it is simply the (m) in y = mx + b

m is the slope

and b is the y intercept

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Two radar stations 2.5 miles apart are tracking an airplane. the straight-line distance between Station A and the plane is 7 miles. the straight-line distance between station B and the plan is 9 miles. What is the angle of elevation from Station B to the plane?

Answers

Answer: Hi the answer would be 32 Degrees

Step-by-step explanation:

The answer to this question is 32 degrees

A prism with a volume of 148 cubic cm is dilated by a factor of 5.5.

The volume of the dilated prism is ___ cubic cm.

Answers

volume = 148 × 5.5 cube

= 24623.5 cubic cm

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