Solve the exponential equation: 2^3x+1 = 128

Answers

Answer 1

Answer:

So x=2.32956156226

Step-by-step explanation:

First subtract 1 on both sides

2^3x=127

Now you can rewrite this as

(2^3)^x

As it still equals the same thing

Now 2^3 is 8

So the equation is now

8^x=127

So we use log formula

log8 127=x

So how many times do we have to multiply 8 by itself to get 127?

The answer is: 2.32956156226

Hope this helps!


Related Questions

Help me please Asap!

Answers

Answer:

1/10

Step-by-step explanation:

The permutation only occurs once during the 10 trials hence 1/10

How many 1/4 inch cubes does it take to fill a box with width 1 inches, length 3 3/4 inches and height 1 1/2inches?

Answers

Step-by-step explanation:

we need to see how many cubes fit into every dimension.

we can fit 4 cubes along the 1 in width. as 4×1/4 = 1 in.

we can fit 15 cubes along the 3 3/4 in length :

3 3/4 = 12/4 + 3/4 = 15/4

15/4 / 1/4 = 15/4 × 4/1 = 4×15 / 4×1 = 15

we can put 6 cubes on top of each other fit the height of 1 1/2 in

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

6/4 / 1/4 = ... = 6 (as above - simply 1/4 fits 6 times into 6/4).

so, we have

4 × 15 × 6 = 360

we need 360 cubes to fill the box.

1,256 balls divided by 13 games. About how many balls should each game get? Estimate answers are:
A. About 80
B. About 100
Those are the choices. 80 is not enough and 100 is too many. 90 or 96R8 not there. Ugh.

Answers

100
If you round 1256 to 1300 and then divide it by 13 you get about 100

did I click the right one ?

Answers

Answer:

no its b

Step-by-step explanation:

Answer:

yup

Step-by-step explanation:

(1-w-w²)⁶=64 prove thta​

Answers

1−w−w2=64

Step 1: Simplify both sides of the equation.

−w2−w+1=64

Step 2: Subtract 64 from both sides.

−w2−w+1−64=64−64

−w2−w−63=0

For this equation: a=-1, b=-1, c=-63

−1w2+−1w+−63=0

Step 3: Use quadratic formula with a=-1, b=-1, c=-63.

w= −b±√b2−4ac /2a

w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)

w= 1±√−251/ −2

heleppppppppppppp
plssssssssssssssss

Answers

Answer:

21

Step-by-step explanation:

Answer:

(3,3)

Step-by-step explanation:

Point B is the only point that inside the rectangle alone. Point A is not found in any shape and points C and D are inside the oval. coordinates are labeled (x,y). The coordinates of point B are (3,3)

I understand if this a little difficult to understand and i sincerely apologize for that..

1
If f(x) = -3x-2, find f(-7)

Answers

Answer:

19

Step-by-step explanation:

f(x)= -3x-2

f(-7)= -3(-7)-2

     = 21 - 2

     = 19

hope this helps! :D

2 1/12 divided 2 5/8 fractions

Answers

Answer: 50/63 or 0.793650

Step-by-step explanation:

A sports analyst determines that the number of points
scored in a basketball game is related to the number of
shots taken during the game. The least-squares
regression line is ý = 5.0 + 1.2x where y is the
predicted number of points scored and x is the number
of shots taken
In one game, a team takes 50 shots and scores 75
points. What is the residual for this team during this
game?
D-33
4 5
10
65

Answers

Answer:

its 10 :)

Step-by-step explanation:

Number of points scored in a basketball game is related to the number number of shots taken during the game as below:

According to question

X=number of shots taken

Y=number of points scored

Given,

X=50

Y=75

As relation given,

Y=5.0+1.2×X

When x is 50 Y= 5+1.2×50=65

∴The residual score for his team during the game is= 75-65

                                                                                      ⇒10  

Learn more about linear relation here: brainly.brainly.com/question/6691346

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Which of the following points lies on the line 2x+3y=5?
A. (2,3)
B. (2,1)
C. (-2,3)
D. (-2,0)

Answers

Answer:

B(2,1). And C(-2,3)

Step-by-step explanation:

Tbh, you can just plug the numbers into the original equation :2x+3y=5

A.2x2+3x3=13 ≠5

B.2x2+3x1=5=5

C.-2x2+3x3=5=5

D.-2x2+3x0=-4≠5

So the answer is B and C lies on the line

Of 92 adults selected randomly from one town, 61 have health insurance. Find a 90% confidence interval for the true proportion of all adults in the town who have health insurance. Group of answer choices 0.582 < p < 0.744 0.548 < p < 0.778 0.536 < p < 0.790 0.566 < p < 0.760

Answers

A 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

The formula for calculating the confidence interval is expressed as;

[tex]CI=p \pm z \cdot\sqrt{\frac{P(1-p)}{n} }[/tex]

p is the proportion = 61/92 = 0.66n is the sample size = 92z is the z-score at 90% = 1.645

Substitute the given parameters into the formula to have:

[tex]CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(1-0.66)}{92} }\\CI=0.66 \pm 1.645 \cdot\sqrt{\frac{0.66(0.34)}{92} }\\CI =0.66\pm 1.645(0.0495)\\CI=0.66 \pm 0.0814\\CI = (0.582, 0.744)[/tex]

Hence a 90% confidence interval for the true proportion of all adults in the town who have health insurance is 0.582 < p < 0.744

Learn more on confidence interval here: https://brainly.com/question/15712887

6 miles is approximately equal to 9 km. How many km are equal to 54
miles? How many miles are equal to 12 km?

Answers

Answer:

54mile equal to 81km

8mile equal to 12km

Which expression is equivalent to 3(2t + 6) – 4t?
A. 8t
B. 20t
C. 2t +6
D. 2t +18
HELP PLS

Answers

Answer:

b part 20 t or i think c part 2t +6

It’s D I used quick math

write the equation of the line that passes through the points ( 1, -1) and (0, 5)

Answers

Answer:

y=-6x+5

Step-by-step explanation:

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

m=(5-(-1))/(0-1)

m=(5+1)/-1

m=6/-1

m=-6

y-y1=m(x-x1)

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

y+1=-6(x-1)

y=-6x+6-1

y=-6x+5

Perimeter of piecewise rectangular figure. Please help.

Answers

Check the picture below.

so the perimeter is 6+16+14+7+8+9 = 60.

A tree casts a shadow of 69.53 feet. A 5 feet pole casts a shadow of 8.97 feet. Find
the height of the tree.

Answers

Answer:

The height of the tree is 38.76.

Step-by-step explanation:

[tex]\frac{x}{69.53} =\frac{5}{8.97}[/tex]

x= [tex]\frac{69.53x5}{8.97}[/tex]

69.53x5= 347.65

347.65  8.97= 38.75696767

round the number (38.76)

Hope this helps

sorry if its wrong

In a computer tape library there are two racks with 50 tapes per rack. On Monday there are 35 tapes in use, on Tuesday 60, and on Wednesday 25. What fraction on the average is in use for the 3 days

Answers

Based on the number of tapes used on those days and the number of tapes in the rack, the fraction on the average used was 2/5

The average tapes used in those 3 days was:

= (35 + 60 + 25) / 3

= 120 / 3

= 40 tapes

The total number of tapes that can be used are:

= 50 + 50 per rack

= 100 tapes

The fraction of the average is:

= 40 / 100

In the lowest term this is:

= 2 / 5

In conclusion, the fraction is 2/5

Find out more about fractions at https://brainly.com/question/233783.

A taxi is travelling in a circlar path of radius 700 m at the rate of 11 km per hour . Find the angle through which it turns in one minute in grade.​

Answers

Answer:

Approximately [tex]\text{$0.26$ radian}[/tex] every minute.

Step-by-step explanation:

Convert the unit of velocity (kilometers-per-hour) to meters-per-minute so as to match the unit of radius (meters) and angular velocity (per-minute.)

[tex]\begin{aligned}v &= 11\; \rm km \cdot h^{-1} \\ &= 11 \times \frac{1000\; \rm m}{1\; \rm km} \times \frac{1\; \rm h}{60\; \text{minute}} \\ &\approx 183.33\; {\rm m} \cdot\text{minute}^{-1}\end{aligned}[/tex].

Calculate the circumference of this circle:

[tex]\begin{aligned}c &= 2\,\pi\, r \\ &= 2 \, \pi \times 700\; \rm m \\ &\approx 4398.2\; \rm m\end{aligned}[/tex].

Find the time required (in minutes) for this vehicle to go around this circle:

[tex]\begin{aligned}\frac{4398.2\; \rm m}{183.33\; {\rm m} \cdot \text{minute}^{-1}} \approx 23.990\; \text{minute}\end{aligned}[/tex].

A full circle corresponds to an angle of [tex]2\, \pi \; \text{radian}[/tex] ([tex]360^{\circ}[/tex].) In other words, this vehicle would have turned [tex]2\, \pi \; \text{radian}\![/tex] in approximately [tex]23.990\; \text{minute}[/tex] if it travels at a constant speed. The rate at which this vehicle turn would be:

[tex]\begin{aligned}\frac{2\, \pi}{23.990\; \text{minute}} \approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].

In general, for angular velocity [tex]\omega[/tex], radius [tex]r[/tex], and velocity [tex]v[/tex], [tex]v = \omega\, r[/tex]. After updating the units, the angular velocity of this vehicle (the rate at which it turns) may also be found as:

[tex]\begin{aligned}\omega &= \frac{v}{r} \\ &\approx \frac{183.33\; \rm m \cdot \text{minute}^{-1}}{700\; \rm m} \\ &\approx 0.26\; \text{minute}^{-1}\end{aligned}[/tex].

22. PLEASE HELP PLEASSSSSSEEEEEEEE

Answers

Answer:

me too i need help its in my HW and exam

Step-by-step explanation:

Mario has save $200 towards the cost of buying a $1000 computer in the weeks to come he passes seven additional $30 per week create an expression that represents the amount of money Mario has saved after W weeks

Answers

Answer:

30w+200=1000

Step-by-step explanation:

3 bags of dog food cost ​$6.75 How much would they spend on 2 bags of dog ​food?

Answers

Answer:

$4.50 for 2 bags of dog food

Step-by-step explanation:

To find the cost of 2 bags of dog food, we first need to divide $6.75, the cost of 3 bags, by 3, to find the cost of one.

$6.75 / 3 = $2.25

Now that we know the cost of one bag, we can multiply the cost by two to find the cost of 2 bags.

$2.25 * 2 = $4.50

$4.50 for 2 bags of dog food

Okie help help math math math math

Answers

Answer: 33

Step-by-step explanation: In the problem, you are given the figure with the following:

2x+3 and 3x+12

Method: Lets set this into an equation. Remember that straight lines add up to 180°.

2x+3+3x+12=180°    Combine like terms.

5x+15=180°

5x=165°

x=33°

You can always plug in 33° in the expression that was set to make sure it does give you 180°.

Hope this helps.

Answer:

33

Step-by-step explanation:

In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life. Using the vase for a scale factor, how tall was the table? PLEASE ACTUALLY ANSWER AND DON'T JUST PUT I DON'T KNOW OKAY? ​

Answers

Answer:

5.67

Step-by-step explanation:

The scale factor of the height of the image is 7.89.

What is the scale factor?

The scale factor is defined as the proportion of the new image's size to that of the previous image.  The scale factor is the ratio of the actual size to the scaled size of the object.

Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased.

Given that In an old photograph, the height of grandma's table is 3.8 cm. The table doesn't exist anymore; grandma doesn't know what happened to it. She does still have the vase in the photograph which is 0.8cm tall in the photograph and 30 cm tall in real life.

The scale factor will be calculated as,

Scale factor = ( 30 / 3.8)

Scale factor = 7.89

To know more about scale factors follow

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6
0 0 0
TIME RE
44
Jeremiah flies an airplane for 2.7 hours at an average speed of 304.6 miles per hour. How far did Jeremiah fly?

Answers

Answer:

112.81 miles

Step-by-step explanation:

304.6 divided by 2.7

Emily is entering a bicycle race for charity. Her mother pledges $0.20 for every 0.75 miles she bikes. If Emily bikes 24 miles, how much will her mother donate?

Answers

Answer:

4 dollars and 80 cents

Step-by-step explanation:

24 times 20 is 480 but its money so u would say $4.80.

8 to the 2 power-28/4+2?

Answers

Answer:

59

Step-by-step explanation:

hope it helps brainliest pls

Part B: If Andrew drives 6 more hours at the same rate, what is the total number of miles traveled for the trip?

Answers

I can only answer that if I have part a

Sin2A+Sin2B÷Sin2A-Sin2B=Tan(A+B)÷Tan(A-B) Prove that​

Answers

Take L.H.S sin2A+sin2B/sin2A-sin2B

= sin2A+sin2B/sin2A-sin2B

Put

[sinC+sinD = 2sin(C+D)/2cos(C-D)/2]

[sinC-sinD = 2cos(C+D)/2.sin(C-D)/2]

= 2 sin(2A+2B)/2 cos(2A-2B)/2 / 2 cos(2A+2B) sin(2A-2B)

= sin(A+B).cos(A-B)/cos(A+B).sin(A-B)

= sin(A+B)/cos(A+B) . cos(A-B)/sin(A-B)

= tan(A+B).cot(A-B)

= tan(A+B).1/tan(A-B)

= tan(A+B)/tan(A-B)

∴ Hence we proved sin2A+sin2B/sin2A-sin2B=tan(A+B)/tan(A-B)

Find the product of ( - 6 + 3i) and its conjugate.
product =
Submit Question

Answers

Answer:

45

Step-by-step explanation:

The conjugate of the given is:

( - 6 - 3i)

Find their product:

(- 6 + 3i)( - 6 - 3i) = (-6)² - (3i)² = 36 - 9i² = 36 - 9(- 1) = 36 + 9 = 45

explain how you your answer

Answers

Answer:

1.43 = x

Step-by-step explanation:

Math in the picture attached. Hope it helps!

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