help pls i have been stuck for long time

Help Pls I Have Been Stuck For Long Time

Answers

Answer 1

Answer:

Exponent rules

[tex]\textsf{product rule: }a^b \times a^c=a^{(b+c)}[/tex]

[tex]\textsf{quotient rule: }a^b \div a^c=a^{(b-c)}[/tex]

[tex]\textsf{power rule: }(a^b)^c=a^{(b \times c)}[/tex]

a) Use product rule:

[tex]3^2 \times 3^x=3^{(2+x)}[/tex]

[tex]\implies 3^{(2+x)}=3^7[/tex]

[tex]\implies 2+x=7[/tex]

[tex]\implies x = 5[/tex]

b) Use quotient rule:

[tex]7^8 \div 7^y=7^{(8-y)}[/tex]

[tex]\implies 7^{(8-y)}=7^6[/tex]

[tex]\implies 8-y=6[/tex]

[tex]\implies y=2[/tex]

c)  Use power rule:

[tex](q^4)^z=q^{(4z)}[/tex]

[tex]\implies q^{(4z)}=q^{12}[/tex]

[tex]\implies 4z=12[/tex]

[tex]\implies z=3[/tex]


Related Questions

Your parents have been saving for your college tuition since you were born. If you need $38,000 for your first year of college, how much should they have put into an account paying 4.25% interest compounded annually?

Answers

Answer: The final balance is $81,551.47.

The total compound interest is $43,551.47.

I hope this helps<3

The hexagonal prism below has a base area of 25 units? and a height of 13 units. Find
its volume.

Answers

The volume of the hexagonal prism is the amount of space in the prism

The volume of the hexagonal prism is 325 cubic units

How to determine the volume?

The given parameters are:

Base area = 25 square units

Height = 13 units

The volume is then calculated as:

Volume = Base area * Height

So, we have:

Volume = 25 * 13

Evaluate the product

Volume = 325

Hence, the volume of the hexagonal prism is 325 cubic units

Read more about volumes at:

https://brainly.com/question/10171109

Answer:

Step-by-step explanation:

I need help

1 inch = 2.54 cm
=
How many cm. are in 1/4 in.?

Answers

Answer:

0.635 in

Step-by-step explanation:

Divided 2.54 by 4

Half of the class scored above 78% and half of the class
scored below 78% on the Science test." Therefore, 78% is the....

Answers

Answer:

Median

Step-by-step explanation:

Answer:

78% is the median

Step-by-step explanation:

The median is the middle number in a sorted, ascending or descending, list of numbers

I will give brainliest fast please I will give points please explain well

Answers

If the equal is 55x + 35y = 200

x: time-driven at 55 miles/hour

y: time-driven at 35 miles/hour

If the car spends 2.5 hours at 35 miles per hour, then it drove:

 55x + 35(2.5) = 200

    55x =35

       y = 112.5

There the drive spent about 2.5-hour driving at 55 mph.

Hope it helps!

Trish is going to camp for 50 days on 15 July 2022. Calculate the date when he will return from camp

Answers

Answer:

Trish is going to return from camp September 3rd, 2022.

Step-by-step explanation:

Okay! note: (There are 31 days in july)

July 15th+10 days=July 25th

July 25+6=July 31st

July 31st+1 day= August 1st

(17 days done so far)

August 1st+30 days=August 31st

(47 days done)

August 31st+1 day=September 1st

September 1st+2 days= September 3rd

I got the answer by breaking up the 50 days into smaller parts and adding them. Make sure you know how many days are in the months so you don't get too confused.

what is the answer to this question cuz I'm stuck

Answers

a
0= x^2-h
h=x^2
square root both sides

Given that sin(X+20°)=cos(2x+25°) find the value of X and hence find the value of tan x

Answers

Answer:

x=15° this is the answer

Mary has 12 marbles 3/12 of the marbles are yellow 2/12 of the Marvels are blue The rest of the marbles are green How many marbles are green Explain how you know

Answers

Answer: 7 marbles are green.

Step-by-step explanation:

      Since we have 12 marbles in total, 12/12 = 1. Since the fractions have denominators of 12 as well, we can easily tell there are 3 yellow marbles (3/12) and there are 2 blue marbles (2/12).

      Lastly, we need to find how many are green. We can subtract the yellow and blue marbles from the total of 12 marbles.

12 - (3 + 2)

12 - (5)

7 marbles are green.

Answer:

Seven marbles are green.

Step-by-step explanation:

you have a total of 12 marbles.

12-3 (yellow) = 9

9-2 (blue)      = 7

3 (yellow) + 2 (blue) = 5

12 (total) - 5 (yellow and blue) = 7

Solve in simplest radical form

Answers

45+90+unknown=180

135+u=180

u=45

so that,

x=15

Answer:

Step-by-step explanation:

The ratio of sides of 45 - 45 -90 triangle is

1 : 1 : √2

This is an isosceles triangle. So, the sides opposite to equal angles (45°) are equal.

∵ x = 15

Which features of figure JKLM remain the same after any rigid transformation? I-ready

Answers

Answer: size and shape

Step-by-step explanation:i got it right on the quiz

The features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

What is a Rigid Transformation?

A rigid transformation, include the following forms of transformations that preserves the size and size of the orginal figure before transformation: translation, reflections, and rotations.

The shape and size of a fugure are preserved after a rigid transformation.

Therefore, the features of figure JKLM that would be preserved after any rigid transformation are: its shape and size.

Learn more about rigid transformation on:

https://brainly.com/question/4057530

Which fraction represents the decimal 0. ModifyingAbove 1 2 with Bar? One-twelfth StartFraction 3 Over 25 EndFraction StartFraction 4 Over 33 EndFraction StartFraction 33 Over 4 EndFraction.

Answers

The considered decimal number is expressed by the fraction given by: Option C: 4/33

How to convert from decimal to fraction?

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. Usually, to get the decimal of the form a.bcd, we count how many digits are there after the decimal point (if its finite), then we write 10 raised to that many power as denominator, and the considered number without any decimal point as numerator.

For example:

[tex]0.99 = \dfrac{99}{10^2} = \dfrac{99}{100}[/tex]

(10 raised to power k = 1 followed by k zeroes)

What is the sum of an infinite geometric series?

The sum of an infinite geometric series having the initial term "a" and the multiplication per term is done by "r" such that r < 1

is given by

[tex]S_{\infty} = \dfrac{a}{1-r}[/tex]

The series would look like [tex]a+ ar+ ar^2+\cdots[/tex]

For the considered case, the given decimal number is

[tex]0.\overline{12} = 0.121212\cdots[/tex]

We can check all the options available one by one, so as to know which one ends up giving this pattern, or we can use another technique as shown below.

[tex]0.12121... = (0.1 + 0.001 + 0.00001 + ... ) + (0.02 + 0.0002 + 0.000002 + ... )[/tex]

Each of the two series obtained are geometric series with the multiplication factor as 1/100

Using the sum formula for evaluation of an infinite geometric series, and the fact that initial term of first series is 0.1 and that of second series is 0.02, we get:
[tex]0.121212... = \dfrac{0.1}{1-1/100} + \dfrac{0.02}{1 - 1/100} = \dfrac{1}{99/100}(\dfrac{1}{10} + \dfrac{2}{100})\\0.121212... = \dfrac{100}{99}\times(\dfrac{10}{100} + \dfrac{2}{100})\\\\\\0.121212 ... = \dfrac{12}{99} = \dfrac{4}{33}[/tex]

Thus, the considered decimal number is expressed by the fraction given by: Option C: 4/33

Learn more about geometric series here:

https://brainly.com/question/16037289

Answer:

4/33

Step-by-step explanation:

Option C

The length of a rectangle is 10 m greater than the width, and the area is 600 sq. m. Find the dimensions

Answers

Step-by-step explanation:

l = length

w = width

l = w + 10

l×w = 600 m²

now, using the identity of the first equation in the second equation

(w + 10)×w = 600

w² + 10w = 600

w² + 10w - 600 = 0

the general solution to such a squared equation is

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = w

a = 1

b = 10

c = -600

w = (-10 ± sqrt(10² - 4×1×-600))/(2×1) =

= (-10 ± sqrt(100 + 2400))/2 = (-10 ± sqrt(2500))/2 =

= (-10 ± 50)/2 = -5 ± 25

w1 = -5 + 25 = 20 m

w2 = -5 - 25 = -30

the negative solution does not make any sense for side lengths. so, the only valid solution is w = 20 m.

l = w + 10 = 20 + 10 = 30 m

the length is 30 m.

the width is 20 m.

Can someone help me please??​

Answers

Circumference

The circumference of a circle is its perimeter.

We can solve for the circumference using the following formula:

[tex]C=2\pi r[/tex] where r is the radius of the circle

Solving the QuestionPart A

We're given:

The radius of the circle is 14 cm

Plug the given information into the formula for circumference:

[tex]C=2\pi r\\C=2\pi (14)\\C=28\pi[/tex]

Therefore, the circumference of the circle is 28π cm.

Part B

Replace π with [tex]\dfrac{22}{7}[/tex]:

[tex]C=28\pi\\\\C=28*\dfrac{22}{7}\\\\C=4*22\\C=88[/tex]

Therefore, the circumference of the circle with [tex]\pi=\dfrac{22}7}[/tex] is 88 cm.

Are both a function or not ?
Would these look the same or different graphed ?
What is the domain and range?

Answers

Answer:

Here

Step-by-step explanation:

Domain : (-∞,∞)

Range : (-∞,∞)
Both functions generally are the same and yes both are functions.

One is the data set of a function and one is the equation...

Sorry if this isn't what you were looking for...

what is the Lcm of 5 and 20​

Answers

Answer:

♦LCM of 5 and 20 is 20.

Explanation:

#Let's Study

#I Hope It's Help

#Keep On Learning

#Carry On Learning

Please help... need steps
[tex]log16^{n} =log\frac{1}{64}[/tex]

Answers

Answer:

x = -3/2

Step-by-step explanation:

1. Cancel out log from both sides -> 16^n = 1/64

2. Log16 both sides to isolate n -> log16(16^n) = log16(1/64) -> n = log16(1/64)

log16(1/64) = -3/2

WHat is this how do i do this

Answers

X + 2(-1/2x + 4) = -8
X - X + 8 = -8
8 = -8 No solution

Can anyone solve these with work attached
(just take a picture of work it would be highly appreciated)

Answers

Answer:

Step-by-step explanation:

Answers in the order as shown

34

20

8

55

29

28

50

61

4

60

The cafeteria sold 6 more turkey sandwiches than ham sandwiches. They sold 16 sandwiches in all. How many ham sandwiches did the cafeteria sell?

Answers

Answer:

5 ham sandwiches

Step-by-step explanation:

To find the number of ham sandwiches sold, we should find the pair of numbers that have a difference of 6 and add to 16.

1 ham sandwich, 7 turkey sandwiches = 8 sandwiches2 ham sandwiches, 8 turkey sandwiches = 10 sandwiches3 ham sandwiches, 9 turkey sandwiches = 12 sandwiches4 ham sandwiches, 10 turkey sandwiches = 14 sandwiches5 ham sandwiches, 11 turkey sandwiches = 16 sandwiches

While this method isn't always very efficient, it worked pretty well for this case!

Therefore, the answer is 5 ham sandwiches.

Answer:

5

Step-by-step explanation:

11 and 5 have a 6 number gap between them 5 plus 11 gets you 16

Write an expression for the sequence of operations described below.
add z to 7, then subtract y from the result

Answers

Answer:

(7+z) - y

Step-by-step explanation:

What is the missing number in this pattern?
1,1….3,5,8,13,21

Answers

2 is the missing number

Answer:

34

Step-by-step explanation:

I have done this before

Help thanks 10 points <3

Answers

Answer:

Step-by-step explanation:there are 3 reds each so maybe try multipling those into the 12 for the red..it would look like this 6x12=72

and the do the same with the blue 4x6=24

Then we’ll try and add it together 72+24=96

How many times do 18 go into 70?
⇒ Answer
⇒ Answer
⇒ Answer
⇒ Answer
⇒Answer

Answers

Answer:

3 (if it has to be a whole number)

Step-by-step explanation:

70/18 is approximately 3.89

It goes in 3 times love!!!

Three students made videos for their art project. The table shows the length of each video. How much longer is video 1 than video 3?

Answers

Answer:

ok

Step-by-step explanation:

does it come with the picture??

A swimming pool is in the shape of a rectangular prism. The pool is 4 feet deep. Its length is 4 times its width. The volume of the pool is 6400 cubic feet. Find the length and width of the pool.
SEND HELP QUICKKKKKK!!!!!!!

Answers

V = LWH

6400 = (4W) * W * 4
1600 = 4W^2
400 = W^2
W = 20
L = 4(20)
L = 80

W = 20 ft
L = 80 ft

Every month, Tara writes a cheque for $25 to pay off part of a loan. She has enough in her current account to pay no more than $450 towards the loan. Write and solve an inequality to find how many months can Tara send payments for the loan

Answers

The number of months that tara can send her payments for the Loan is; 18 months

How to find the time period of a Loan?

We are told that;

Tara has to pay $25 each month to pay the loan.

She has $ 450 in her account to pay the loan.

For us to find the number of months she can pay the loan, we will apply the unitary method as;

$25 she can pay in 1 month

The number of months to pay $1 is; 1/25 months

The number of months to pay $450 is; (1/25) * 450 = 18 months.

Read more about period of a Loan at: https://brainly.com/question/11686424

Find the slope-intercept equation of the line that passes through (5, -5) and has a slope of 3. ​

Answers

Answer: y=-3x+20

Step-by-step explanation:

Find the surface area of this triangular prism.

Answers

Answer:

960m²

Step-by-step explanation:

½(12)(8)

=48

48×20

=960m²

James has $325 in his savings account. He spends $28 a week. How many, w, weeks until he has $157 left in his account?​

Answers

Answer:

6 weeks

Step-by-step explanation:

Total savings= $325

For every week, his total savings decrease by $28.

Let's form an expression for the amount of money left in his account after w weeks.

325 -28w= 157

28w= 325 -157

28w= 168

Divide by 28 on both sides:

w= 168 ÷28

w= 6

Thus, there are 6 weeks until he has $157.

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