what is the solution to the exponential equation 8x = 1/4

Answers

Answer 1

Divide each term in

8x=1/4 by 8 and simplify.

Exact Form: x=1/32

Decimal Form: x=0.03125

Answer 2

[tex]~~~8^x = \dfrac 14\\\\\implies 2^{3x} = 2^{-2}\\\\\implies 3x = -2 \\\\\implies x = -\dfrac 23[/tex]


Related Questions

f(x)=-2x^2-10x
Find (-5)

Answers

Answer:

Hi! this is the answerThe length of the third side is a-2. :))))))))

Step-by-step explanation:

3. Write an equation to represent the situation:
A taxi ride costs $6.50 total. The fare was
charged at $1.25 per mile., How many miles did the
taxi travel?

Answers

Answer:

Equation would be 1.25m = 6.50.

The taxi traveld 5.2 miles.

Step-by-step explanation:

So we know that they charge 1.25 per mile but we dont know how many miles they traveld.

Our total cost was 6.50. This is imediatly enough information to help build an equation.

Since the amount of the miles travels is unkown, we leave it as "m" but we know it cost 1.25 per mile therfore it makes it 1.25m

Next we do, 1.25m = 6.50 since 6.50 was our total cost.

Now, we solve it! We solve it by simply dividing 1.25 on both sides:

[tex]\frac{1.25m}{1.25}[/tex] = [tex]\frac{6.50}{1.25}[/tex]

When we divide 1.25 by 1.25 we get 1 which leaves it at 0. When we divide 6.50 by 1.25 we get 5.2.

m = 5.2

miles = 5.2

1) What are the domain and range of f(x)=-*+7?

Answers

Answer:

not clear but it should be 0 because it doesnt make sense

Step-by-step explanation:

I need some help, please and thank you. :).

Answers

Answer:

right top one

Step-by-step explanation: just separate the formula

Jeffrey’s recipe for oatmeal muffins calls for 2 1/2 cups of oatmeal and makes one dozen muffins. If he makes 3 dozen muffins for a club meeting and 1 1/2 dozen muffins for a family reunion, how much oatmeal will he uses.

Answers

Your answer should be 13 3/4 cups

Maya has 28 apples, 12 oranges, and 8 mangos. She wants to put an equal number of each kind of fruit into baskets so all the baskets will be the same. How many of each kind of fruit CAN MAYA FIND IN EACH BASKET
A. 4
B. 1, 2 or 4
C. 1 or 4
D. 1, 3, 4, 6, or 8

Answers

Answer:

4

Step-by-step explanation:

We need to find the greatest common factor aka (GCF)

Factors of 28: 1, 2, 4, 7, 14, 28

Factors of 12: 1, 2, 3, 4, 6, 12

Factors of 8: 1, 2, 4, 8

The factor that they all have is 4 so 4 is our answer :)

Have an amazing day!!

Please rate and mark brainliest!!!

Use the bar graph to find the relative frequency of the event.

Answers

Answer: Its 7 Hope im Right!

Step-by-step explanation:

Answer:

the answer for this question is 7

Step-by-step explanation:

do the math

A total of 60 tickets were sold for an concert and earn the organizers $540. If the cost of each ticket is either $6 or $10, how many tickets of each type were sold?

Answers

Answer:

$6 tickets:  16; $10 tickets:  45

Step-by-step explanation:

We need a system of equations to find the number of each type of ticket sold.

Thus, we have [tex]x+y=60[/tex], where x = the number of $6 tickets and y = the number of $10 tickets

We also have [tex]6x+10y=540[/tex]

We can use the elimination method to find y:

[tex]x+y=60\\6x+10y=540\\\\-6(x+y=60)\\\\-6x-6y=-360\\6x+10y=540\\\\(4y=180) / 4\\\\y=45\\\\(x+45=60)-45\\\\x=15[/tex]

Mrs. Williamson is projecting a slide on the wall. The image on the slide is 1.25 inches by 1.5 inches. The image projected on the wall is 20 inches by 24 inches. What is the scale factor of the dilation?

Answers

Answer:

Scale factor is 1:16

Step-by-step explanation:

1.25 x 16 = 20

1.5 x 16 = 24

The image on the wall is 16 times bigger than the image on the slide,
that is why the ratio is 1:16

What is the perimeter of the figure?
15 cm
9 cm
centimeters

Answers

Answer:

48

Step-by-step explanation:

you just multiply both numbers by two and then add

48 you times both numbers

If the volume of a prism is 30m3 and it’s height is 5m what is the area of the base

Answers

Answer:

6[tex]m^{2}[/tex]

Step-by-step explanation:

Any prism volume is V = BH where B is area of base and H is height of prism,

B = 1/2 h(b1+b2) since B is the area of the base

[tex]\frac{v}{h}[/tex]=B if we solve for B from the volume formula

which gives: [tex]\frac{30m^{3} }{5m}[/tex] and the units cancel out to leave 6[tex]m^{2}[/tex] is the area of the base

Which is the better buy?

A. 8 oz for $2.88

B. 10 oz for $4.19

C. 6 oz for $1.98

D. 5 oz for $2.75

Group of answer choices

D

B

A

C

Answers

Answer:

C

Step-by-step explanation:

It's more profitable to buy the 6 oz for 1.98 due to the price range and how much you can get with just one purchase of 1.98. Instead of 10 oz for 4.19 or anything else you can double or even triple the amount by buying just the 6 oz more than 1 at a time :)

pls help me I need the answer with how u did it pls

Answers

Answer:

∠1, ∠3, ∠5 and ∠7 = 126°

∠2, ∠4, ∠6 and ∠8 = 54°

Step-by-step explanation:

∠3 + ∠4 = 180°

If ∠3 = 126°, ∠4 = 54°

The same applies for ∠1 and ∠2, ∠5 and ∠6, ∠7 and ∠8 respectively.

Therefore,

∠1  = 126°,

∠3 = 126°,

∠5 = 126°, and

∠7 = 126°

∠2 = 54°,

∠4 = 54°,

∠6 = 54°, and

∠8 = 54°

Please help! Will mark brainlyest.

Answers

Answer:

I think c

Step-by-step explanation:

can you help with this please?​

Answers

The Answer would be E

Two-step
Find the solution set of the inequality
14 - 3x < -1.

Answers

Answer:

x > 5  should be your solution to the inequality.

Step-by-step explanation:

Your inequality: 14 - 3x < -1

You need to do two-step inequalities which are similar to two-step equations but different since you're using an inequality symbol as opposed to an equal sign.

Steps:

14 - 3x < -1

Subtract 14 from both sides

-3x < -1-14

Solve -1-14

That should be -15

-3x < -15


**You have to switch the inequality due to multiplying negatives rule.

While dealing with inequalities, when multiplying negatives the inequality sign should switch to its opposite.

-3x > -15

x > 5

5 is lesser than x

hope it really helps...!!!

Help Asap!!!! No Links!

Answers

Answer: 18

Step-by-step explanation:

Start by evaluating in the parenthesis

First simplify the exponents

[tex]\frac{3}{4} (2^3+4^2)\\\frac{3}{4} (8+16)[/tex]

Now simplify in the parenthesis

[tex]\frac{3}{4} (8+16)\\\frac{3}{4} (24)[/tex]

Now multiply

[tex]\frac{3}{4} (24)\\\frac{72}{4} \\18[/tex]

Which fraction is between 0.8 and 0.82?

Answers

0.81 is in between 0.8 and 0.82.

0.81 as a fraction is 81/100.

So, the fraction between 0.8 and 0.82 is 81/100.

A group of tourists travels 4 hours by car and 7 hours by train. In this time, they go a total of 640 km. What is the speed of the train, if it is 5 km greater than the speed of
the car?

Answers

55 kph hope this helps

The speed of the train is given by T = 60 km/hr

What is Speed?

Speed is defined as the rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude

Speed = Distance / Time

Given data ,

Let's call the speed of the car "x" (in km/h).

And the speed of the train is "x+5" (also in km/h).

We can use the formula:

distance = speed x time

To write two equations, one for the distance traveled by the car and one for the distance traveled by the train:

The distance traveled by car C = x × 4

The distance traveled by train T = (x+5) × 7

We know that the total distance traveled is 640 km, so we can write:

x × 4 + (x+5) × 7 = 640

Expanding the brackets and simplifying, we get:

4x + 7x + 35 = 640

11x = 605

x = 55

So the speed of the car is 55 km/h. Using this, we can find the speed of the train:

The speed of train T = speed of car C + 5

The speed of train = 55 + 5

The speed of train = 60 km/h

Hence , the speed of the train is 60 km/hr

To learn more about speed click :

https://brainly.com/question/19930939

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Malik deposits $4200 in an account that pays 3. 1% interest compounded weekly. What will be the value of the account in 5 years? Round to the nearest cent

Answers

hmmm now this is assuming is 3.1% per year, with a compounding period per week, now there are 52 weeks in a year.

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4200\\ r=rate\to 3.1\%\to \frac{3.1}{100}\dotfill &0.031\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{weekly, thus fifty two} \end{array}\dotfill &52\\ t=years\dotfill &5 \end{cases}[/tex]

[tex]A=4200\left(1+\frac{0.031}{52}\right)^{52\cdot 5}\implies A=4200\left( \frac{52031}{52000} \right)^{260}\implies A\approx 52775.70[/tex]

24 1/2 feet by 12 4/5 feet=?

Answers

Covert 24 & 1/2, and 12 & 4/5 into decimal form.

Which would give you 24.5 and 12.8.

“by” would mean you have to multiply the two together. And by doing that you get

313.6 or 313 3/5 feet.

Hope this helps.

6. Nobu was a part of a cookie eating contest. The company hosting the event made 805 cookies. In the first 15 minutes, the contestants ate 388 cookies. | How many cookies are left at this Songs i point? At this rate, about how long it will take the contestants : to eat all of the cookies?​

Answers

At that point, there would be 417 cookies left. At that rate it would take about 31 minutes.

The volume of the oblique prism is __ mm3. Assume the bases are a rectangular. Hint: Use Cavalieri’s Principle.

Answers

[tex]\bold{ANSWER:}[/tex]

72 mm^3

[tex]\bold{EXPLANATIONS:}[/tex]

What is the simplest form of [tex]\sqrt[3]{7} -\sqrt[5]{7}[/tex]

Answers

Here is the forms of the problem

The mass of substances left in a sample
after the liquid is evaporated is called
the total dissolved solids. Kim split up
2 liters of water into three different
samples and boiled all the liquid away
in each. The masses of solids left in the
three samples were 2.025 grams, 457 mg
and 589 mg. Using the table at the right
how should Kim classify the water?

Answers

This question tests one's knowledge of states of matter. Kim would have to classify the water as gaseous matter in this case.

Why should Kim classify the water as gaseous?

Remember, she boiled all the liquid away. Hence in their evaporated state, the water now assumes a gaseous form.

Matter can exist in various states. They are:

Solids;Liquids;Gaseous;Plasma; andBose-Einstein condensate. (which is Man-made).

Learn more about states of matter at:
https://brainly.com/question/16982523

What are the steps you would have to do to make the original triangle into the new triangle?

Answers

Answer:

I don't clearly understand your question, but if this is on a graph or relating to math simply check the difference in the y intercept. OR see the difference and revers it such as if was mulltiplied by an EXPONENT.

Step-by-step explanation:

Graph:

Check y intercept and the differences in both values.

Regular triangle:

Imagine te steps being taken or revers the original steps.

I need Help ASAP !!!!!!!!!!!!!

Answers

Answer:if I’m not mistaken I think it’s -4 I did this assignment too just look around to see I’m not 100% sure

Step-by-step explanation:

1:4
2:4
2:8
Equivalent ratios

Answers

Answer:

Equivalent ratios of 1:4 include 2:8, 3:12, 4:16, 5:20, etc. Equivalent ratios of 2:4 include 4:8, 6:12, 8:16, 10:20, etc. Equivalent ratios for 2:8 are 4:16, 6:24, 6:32, and 8:40.

Step-by-step explanation:

Hope this answered ur question, unless you mean if the numbers are equivalent ratios which they arent

Answer: 1:4 is equivalent to 2:8 not but equivalent to 2:4

Step-by-step explanation: To create equivalent ratios of a given ratio, simply multiply the two figures by the same number. 2:8 is a two time multiple of 1:4

Jonny has 19 bottles or dish soap and jeff takes 20 bottles of dish soap he gives 67 back how much dish soap Jonny have

Answers

Answer:

66

Step-by-step explanation:

A , B , C , D ??????????????????????

Answers

Answer:

a

Step-by-step explanation:

if this is wrong im sorry

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