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

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

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]

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 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

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

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

witch one is greater 428,745 or 428,745

Answers

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

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)

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:

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

Simplify 6(x + 3).

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

Answers

Answer:

the answer of this question is = 6x + 18

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

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.

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.

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

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

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%

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

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

#SPJ2

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 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

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 : )

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

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 :)

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

https://brainly.com/question/13045673

#SPJ2

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

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%

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 :)

[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:

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

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