Solve the following exponential equations

Solve The Following Exponential Equations

Answers

Answer 1

Answer:

x = 2, y = - 25

Step-by-step explanation:

(1)

note that 36 = 6² , then

[tex]6^{x}[/tex] = 6²

Since bases on both sides are equal then equate the exponents

x = 2

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

(2)

Using the rule of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

note that 25 = 5² , then

[tex]25^{11+3y}[/tex] = [tex](5^2)^{11+3y}[/tex] = [tex]5^{22+6y}[/tex]

Then

[tex]5^{5y-3}[/tex] = [tex]5^{22+6y}[/tex]

Since bases on both sides are equal then equate the exponents

22 + 6y = 5y - 3 ( subtract 5y from both sides )

22 + y = - 3 ( subtract 22 from both sides )

y = - 25


Related Questions

find the angles marked with a letter ​

Answers

Answer:

Step-by-step explanation:

O;B

Please help me on this question if you would want brianleist!! Tank yah!! ^^

Answers

Answer:

Origin

Step-by-step explanation:

Origin is the starting points (0,0)

Hope this helped :)

Find the Errors: A student multiplied the two polynomials below.

(a) Clearly state the two errors that the student made in their multiplication table. (4 points)

(b) State what the correct answer should be. (2 points)

Answers

It’s messed up on the +2x and -8x^2. It should be +2x^2 and +8x^2. The answer should be -4x^3+10x^2-7x+6

Simplify each radical expression, if possible 3v/7-5^4v/7

Answers

Answer:

cannot be simplified

Step -by-step explanation:

[tex]3\sqrt{7} - 5\sqrt[4]{7} \\[/tex]

The indexes are not the same so the radicals cannot be combined.

cannot be simplified

help with segment relationships in circles...picture attatched.

Answers

Answer:

x=23

Step-by-step explanation:

Hello There!

The relationship between chords can be found below in the image.

Pretty much the product of the segments in the same chord is equal to the product of the other segments in the other chord if that makes sense

So more specifically for this problem

10 * 18 = 9(x-3)

once we are able to create a formula/equation this problem is a lot easier to understand

Now we use basic algebra to solve for x

10 * 18 = 9(x-3)

step 1 combine like terms

10 * 18 = 180

now we have

180 = 9(x-3)

step 2 distribute the 9 to what's in the parenthesis (x and -3)

9*x=9x

9*-3=-27

now we have

180 = 9x - 27

step 3 add 27 to each side

-27 + 27 cancels out

180 + 27 = 207

now we have

207 = 9x

step 4 divide each side by 9

207/9 = 23

9x/9=x

we're left with x = 23

Now we want to check our answer

is 10 * 18 = 9*(23-3) then our answer is correct

10*18=180

23-3=20

20*9=180

180=180 is true hence the answer is 23

QUICK! Giving Brainliest to whoever gives the correct answer

Answers

Answer:

taco bell

Step-by-step explanation:

per one taco at taco bell $0.53

per one taco at los comales $0.62

pls pls help. i am begging u ill give brainliest

Answers

The answer is 4/18

——

Answer:

4/18

Step-by-step explanation:

6 STUP1D QUESTIONS FOR 100 POINTS

1. Why do British people never sound British when they sing?

2. Why do they call it 'head over heels in love if our head is always over our heels?

3. Can a hearse driver drive a corpse in the carpool lane?

4. Why is the name of the phobia for the fear of long words Hippopotomonstrosesquippedaliophobia?

5. If someone can't see, they're blind and if someone can't hear, they're deaf, so what do you call people who can't smell?

6. How do they get those boats in those glass bottles?

Answers

How do they get the cream inside of twinkies

A feeder at the zoo in shape of a cone has a radius of 3 inches. It holds about 113.04 cubic inches of food. Approximate its height to the nearest inch. Use 3.14 to approximate the value of pie.

Answers

Answer:

12 inches

Step-by-step explanation:

help, i will give brainliest

Answers

Answer:

The answer is J

Step-by-step explanation:

If you start from Quinn's location (8,7), and move south 3 units, you get to (8,4). Then you move to the west 4 units and that gets you to (4,4).

hope this helped! :)

I put 16 and it said that it was Wong

Answers

Answer: 97/100

Step-by-step explanation:

Answer:

The answer is 0.97 or 97/100

Step-by-step explanation:

9/10 = 0.9

7/100 = 0.07

0.9 + 0.07 = 0.97

Hope this helps!

Please mark as brainliest!

Find the slope: Will give brainliest if it is correct

Answers

Answer:

-3/5 is the slope of the line.

Estimate the area of tje fan if m

Answers

Answer:

Area of the given fan is 763.4 cm²

Step-by-step explanation:

Area of a sector in a circle = [tex]\frac{\theta}{360}(\pi r^2)[/tex]

Here, angle θ = Central angle subtended by the arc

r = Radius of the circle

Since, fan is in the form of a sector of a circle with radius = 27 cm

Measure of the central angle subtended by the arc FN = ∠FAN = 120°

Area of the fan = [tex]\frac{120}{360}(\pi )(27)^2[/tex]

                         = [tex]\frac{729\pi }{3}[/tex]

                         = 243π

                         = 763.407

                         ≈ 763.4 cm²

Therefore, area of the given fan is 763.4 cm²

Which of the following expressions are equivalent to -9.7. -0.8. -7.8. -3.8? Choose all answers that apply:
A. 9.7.-0.8.-7.8.-3.8.
B. -9.7.0.8. 7.8.-3.8
C. None of the above​

Answers

Answer:

A.

it’s a because i just got it right on the test

Answer:

its A cause i got it right

Step-by-step explanation:

for the boys


Find the sum of (6x2 - 9x + 7) and (- 8x2 + 10x - 14)

Answers

Answer:

-2x² + x - 7

Step-by-step explanation:

(6x² - 9x + 7) + (-8x² + 10x - 14)

6x² - 9x + 7 - 8x² + 10x - 14

6x² - 8x² - 9x + 10x + 7 - 14

-2x² + x - 7

(please help)!!!!!!!!!!!!!!

Answers

Answer

use trigonometry to find both the answers.    

i have done the working out in the picture hope it helps...

Step-by-step explanation:

Which number line shows - graphed?

Answers

Answer:

The second one down is the answer

Step-by-step explanation:

YO PLEASE HELP, AREA OF A TRAPEZOID

Answers

the answer is 54!!!!!

Hi, can someone please help, and possibly explain the answer please.

Answers

Answer:

[tex]x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}[/tex]

Step-by-step explanation:

Quadratic formula: [tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}[/tex] when the equation is [tex]0=ax^2+bx+c[/tex]

The given equation is [tex]1=-2x+3x^2+1[/tex]. Let's first arrange this so its format looks like [tex]y=ax^2+bx+c[/tex]:

[tex]1=-2x+3x^2+1[/tex]

[tex]1=3x^2-2x+1[/tex]

Subtract 1 from both sides of the equation

[tex]1-1=3x^2-2x+1-1\\0=3x^2-2x+0[/tex]

Now, we can easily identify 3 as a, -2 as b and 0 as c. Plug these into the quadratic formula:

[tex]x=\frac{-b\±\sqrt{b^2-4ac} }{2a}\\x=\frac{-(-2)\±\sqrt{(-2)^2-4(3)(0)} }{2(3)}[/tex]

I hope this helps!  

p(a) = 4a +4
What is the coefficient of a?

Answers

[tex] \huge \red {Question}[/tex]

p(a) = 4a +4

What is the coefficient of a?

[tex] \huge \red{Answer}[/tex]

4 is the coefficient of a .

Step-by-step explanation:

4 is the coefficient of a .

Sebastian is going to deposit $790 in an account that earns 6.8% interest compounded annually his wife Yolanda will deposit $815 in an account that earns 7.2% simple interest each year they deposit the money on the same day and no additional deposits or withdrawals for the accounts which statement is true concerning Sebastian's in Yolanda's account balances after 3 years

Answers

Answer:

Step-by-step explanation:

Complete question

A) Sebastian's account will have about $28.67 less than Yolanda's account. B) Sebastian's account will have about $9.78 less than Yolanda's account. C) Yolanda's account will have about $28.67 less than Sebastian's account. D) Yolanda's account will have about $9.78 less than Sebastian's account.

For Sebastian

Amount = [tex]P (1 + \frac{r}{n})^{nt}[/tex]

Substituting the given values we get

A =

[tex]790 (1 + \frac{6.8}{100*1})^{3*1} \\962.367[/tex]

For Yolanda

Amount  [tex]= P(1+rt)[/tex]

[tex]A = 815 (1 + \frac{7.2}{100}*3)\\A = 991.04[/tex]

Yolanda's account will have about $28.67 less than Sebastian's account

Option C is correct

Which line has a y-intercept of -2?
A) L
B) P
C) T
D) Both L and T

Answers

Answer:

Answer is D

Step-by-step explanation:

hope that helps

Help please please pray that you pray

Answers

Answer:

well religion does not work here sorry

Step-by-step explanation:not everyone prays im sorry

Answer:

im confused

Step-by-step explanation:

dont delete this

A trapezoid has angles 54 degrees, 54 degrees, x, and x. Look at the trapezoid shown. What is the measure of angle x? The measure of each angle x is 54° 90° 126° 252°

Answers

Answer: the answer is C 126°

A local pet groomer accepts walk-in customers. From experience, the groomer has determined that the probability that a walk-in customer will get a full-service grooming, which includes a bath and nail trimming, is 0.71. The probability that a walk-in customer will get a haircut for their pet is 0.42. The probability that customers who get the full-service grooming will also ask for a haircut is 0.28. What is the probability that a walk-in customer will ask for both a full-service grooming and a haircut?

0.12
0.20
0.28
0.30

Answers

Answer:

0.28

Step-by-step explanation:

Answer:

0.20

Step-by-step explanation:

i got it right on edge 2022

PLEASE HELPPPPP

WILL GIVE BRAINLIEST

Answers

Answer:

Step-by-step explanation:

From the given table,

A. The unit rate for each car is,

Car A = [tex]\frac{416}{13}[/tex]

          = 32 miles per gallon

Car B = [tex]\frac{544}{16}[/tex]

          = 34 miles per gallon

Car C = [tex]\frac{665}{19}[/tex]

          = 35 miles per gallon

Car D = [tex]\frac{775}{25}[/tex]

          = 31 miles per gallon

B. From the derived values in A, the car that uses the least amount of gas is Car C.

C. Total distance covered = 496 miles x 4

                                           = 1984 miles

The gallons of gas the Car A would need for the journey can be determined by;

Car A requires 1 gallon for 32 miles

So that for 1984 miles = [tex]\frac{1984}{32}[/tex]

                                    = 62 gallons

Car A would need 62 gallons of gas to make the trip.

D. Amount spent on gas for Car A = $2.12 x 62

                                          = $131.44

E. speed = [tex]\frac{distance}{time}[/tex]

⇒ time = [tex]\frac{distance}{speed}[/tex]

Given the for Car A, speed = 68 miles per hour.

time = [tex]\frac{1984}{68}[/tex]

       = 29.1765

time = 29 hours

It would take approximately 29 hours for Car A to cover the total distance of 1984 miles.

solve the equation by the elimination method..!!
1. 3x+ 4y= 10 & 2x- 2y = 2​

Please don't post invalid answer please..!!

Answers

The value of the x and y by the elimination method will be 2 and 1.

What exactly is a linear system?

It is an equation system in which the maximum power of the variable is always 1. A figure with only one dimension and no breadth. It is made up of infinite dots placed side by side.

Given linear equation;

3x+ 4y= 10

2x- 2y = 2​

The following operations are done;

(3x+ 4y= 10) ×2

(2x- 2y = 2)​ × 3

6x+8y=20

6x-6y=6

Subtract equation 1 from 2 to eliminate x;

6x+8y-6x+6y=20-6

14y=14

y=1

The value of x is obtained by putting the value in equation 1;

3x+4(1)=10

3x=6

x=2

Hence, the value of the x and y by the elimination method will be 2 and 1.

To learn more about the linear system, refer to the link https://brainly.com/question/20379472.

#SPJ1

21) Michelle has just been informed that her cell phone plan will be increasing in price. Her new pricing
plan has a flat fee of $25.00 per month, plus a cost of $0.09 per minute of usage. Based on her budget,
Michelle has determined she can only afford to use a maximum of 209 minutes per month. Based on
this information, what is the highest amount Michelle will pay for her cell phone per month?
a) $18.81
b) $5.23
c) $43.81
d) $25.09

Answers

Answer:

c) $43.81

Step-by-step explanation:

= $25.00 + ($0.09 × 209)

= $25.00 + $18.81

= $43.81

what is the fraction for 0.875?

Answers

Answer:

7/8

Step-by-step explanation:

Answer:

7/8

Step-by-step explanation:

simplify 875/1000

My restaurant budget should not go over $100. If I bought main dish for $50 and $12 for each pizza, how many pizza's can I buy?

inequality :
50 + 12x ≤ 100

How many pizza's can I buy?

Answers

Answer:

x = 25

Step-by-step explanation:

50 + 12x <_ 100

12x <_ 100 - 50

12x <_ 50

x <_ 50 / 12

x <_ 25

You can buy about 4 pizzas.

I didn't use the way that I probably should have but you can subtract 50 from 100 and then divide the 50 by 12 and you will get 4.1666667.

Other Questions
PLS HELP MARKING BRAINLIEST! (Dont answer if u dont know and please don't answer random things-)What happens when Mentos and Diet Coke are mixed?What causes Mentos and Diet Coke to react that way?Is the reaction Chemical or Physical?How could we prove one way or the other? Which best explains the motivation of a student who wants to graduateat the top of her class?(A) Belongingness need(B) Influence of an individualistic culture(C) Optimal arousal(D) Influence of oxytocin and vasopressin(E) Growth needs Find the sale price of the item. Round to two decimal places if necessary.Original price: $238.45Markdown: 74%PLEASE HELPP Preble Company manufactures one product. Its variable manufacturing overhead is applied to production based on direct labor-hours and its standard cost card per unit is as follows: Direct materials: 5 pounds at $8.00 per pound $40.00 Direct labor: 2 hours at $14 per hour 28.00 Variable overhead: 2 hours at $5 per hour 10.00 Total standard cost per unit $78.00 The planning budget for March was based on producing and selling 25,000 units. However, during March the company actually produced and sold 30,000 units and incurred the following costs: a. Purchased 160,000 pounds of raw materials at a cost of $7.50 per pound. All of this material was used in production. b. Direct laborers worked 55,000 hours at a rate of $15.00 per hour. c. Total variable manufacturing overhead for the month was $280,500.Required:a. What raw materials cost would be included in the company's planning budget for March? b. What raw materials cost would be included in the company's flexible budget for March? c. What is the materials price variance for March? 2. Find measure of arc AB.Find mABA) 68B) 78C) 88D) 98 Enzymes are composed of what organic molecule? a. sugarsb. DNAc. proteinsd. lipids PLEASE HELPPPPPPPPPPPPP Colorists were barnedfrom producingfinished goodsConists were toprovidermaterials for EnglandColonial imports hadsiped to EnglandErnted guts couldMercatoHow did opposition to this system affect the economy of the earlyrepublic?1G Cottage workers needed governmental assistance,H Interstate trade taxes were forbiddenFThe government prevented taxes on domestic goods.JA free enterprise system was adopted What is the value of the exponential expression below?36 1/2 Lena spent $39 on fruit at the grocery store. She spent a total of $60 at the store. What percentage of the total did she spend on fruit? The products or photosynthesis are carbohydrates and oxygen. Which process uses these substances as reactants? To stand up to pressures and influences toward unhealthy behaviors, you can build _____skills. What are the products for what is a masya and do thay control wild animals what use of por is expressed below. estudio por la manana? why is library management important which of the following best fills-in the blank? Miss fuentes has a new team leader blank tomorrow 5. What might be the dimensions of acylindrical container that holds 750 mLof juice? Why was Sherman's "total war" a major change from earlier forms offighting? I need help I searched this up and found nothing