If 3^2x+1 = 3^x+5, what is the value of x?

Answers

Answer 1

Answer:

4

Step-by-step explanation:

Since the bases are equal the powers also are equal

so

2x + 1 = x + 5

2x - x = 5 - 1

x = 4


Related Questions

What is the equation of the line perpendicular to y=1/2 x+3 passing through the point (-3,4)

Answers

Answer:

y=-2x-2

Step-by-step explanation:

Question 16 of 20
If a study estimated that 22% of students ride their bikes to school, and the
error range is +2%, what percentage of students might actually ride their bikes
to school?
O A. 22% -24%
O B. 2% - 22%
O C. 20% - 22%
ОО
D. 20% - 24%
SUBMIT
PREVIOUS

Answers

Answer:

D) 20%-24%

Step-by-step explanation:

The margin of error is ±2%, which means that the true proportion it can be 2% above the average proportion or 2% below the average proportion. Therefore, the percentage of students that might actually ride their bikes to school is 20%-24%.

Answer: A. 22%-24%

Step-by-step explanation:  There's a +2% error range, so you just add 2% to the existing percentage to get your range of 22% (the original percentage) through 24% (the percentage you get after adding 2%)

Find the value of x.

Answers

Answer:

20

Step-by-step explanation:

[tex]V_{right\: square \: pyramid} = \frac{1}{3} {a}^{2} h \\ \\ \therefore \: 1500 = \frac{1}{3} {(15)}^{2} (x)\\ \\ \therefore \: 1500 = \frac{1}{\cancel 3} \times \cancel {225} (x) \\ \\ \therefore \: 1500 = 75x \\ \\ \therefore \: x = \frac{1500}{75} \\ \\ \therefore \: x = 20[/tex]

please help me find the area

Answers

Answer:

17,290 yd2

Step-by-step explanation:

I rlly don't know how u were taught to solve it but what I did was multiply all the sides

Helppppppppppppppppp

Answers

Answer:

[text] x = p(m - n) [/tex]

Or

[text] x = pm - pn [/tex]

Step-by-step explanation:

Given:

[text] m = n + \frac{x}{p} [/tex]

Required:

Make x the subject of the formula

Solution:

What we are required to do is to rewrite the equation so that x will be alone on one side while the other variables will be on the other side.

[text] m = n + \frac{x}{p} [/tex]

Subtract n from each side

[text] m - n = n + \frac{x}{p} - n [/tex]

[text] m - n = \frac{x}{p} [/tex]

Multiply both sides by p

[text] p(m - n) = \frac{x}{p}*p [/tex]

[text] p(m - n) = x [/tex]

[text] x = p(m - n) [/tex]

Or

[text] x = pm - pn [/tex]

What is the largest 4- digit number that is divisible by 3, 6, and 9? Explain how you know.

Answers

Answer: 9990

========================================================

Explanation:

Start with the largest four digit number possible (9999) and see if it's divisible by 3, 6 and 9

9999/3 = 33339999/6 = 1666.59999/9 = 1111

When dividing the number over 6, we don't get a whole number. So 6 is not a factor of 9999, and we cross 9999 off the list.

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

Decrease the number by 9. We do this because the result will be another multiple of 9 (which is automatically also a multiple of 3 as well, since 9 = 3*3)

So we go from 9999 to 9990

Repeat the last set of steps we did earlier

9990/3 = 33309990/6 = 16659990/9 = 1110

Every result is a whole number, which shows that 9990 is a multiple of 3, 6 and 9. In other words, 9990 is divisible by 3, 6 and 9. It's the largest such 4 digit number.

Represent 1/3 of 1/4

Answers

Answer:

1/12

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

the word 'of' in math means to multiply so 1/3 of 1/4 means to multiply them together

1/3 x 1/4 = 1/12

It take 6 Pounds of flour to make 36 cakes. How much flour is needed to make 9 cakes?

Answers

Answer:

54 pounds

Step-by-step explanation:

To find out how much flour is needed to make 9 cakes, we first need to find out how much much flour is needed to make 1 cake. For that, we need to divide 6 by 36. That will give you 6. Now that we know how much flour is needed to make 1 cake, we will just have to multiply 6 by 9 to find out how much flour is needed to make 9 cakes. That will give you 54 pounds, which is your final answer.

Name a fraction between 3.43 and 3.44​

Answers

7/16 = 0.4375

3.4375 is between 3.43 and 3.44

The answer: 3 and 7/16

3 and 7/16 that would be the answer if followed by the steps

Crawling Crayfish!
Big Claw, the crayfish, challenged Flicker to a 60 em race. Since Big Claw is much
larger, he offered to give Flicker a 10 cm head start Flicker agreed and the race
began. After 5 seconds, Big Claw had crawled 6 cm and Flicker had crawled 4 cm.
If they continue at this rate, who do you predict will win the race? justify your
prediction
How many seconds have elapsed when Big Claw and Flicker are tied?

Answers

Answer: Crayfish, 25 s

Step-by-step explanation:

Given

The length of race is 60 cm

Flicker gets a 10 cm head-start

Cray fish covers 6 cm in 5 s i.e. its speed is

[tex]\Rightarrow \dfrac{6}{5}=1.2\ cm/s[/tex]

Flicker covers 4 cm in 5 s, its speed is

[tex]\Rightarrow \dfrac{4}{5}=0.8\ cm/s[/tex]

Time taken by Cray fish to cover the race is

[tex]\Rightarrow t_1=\dfrac{60}{1.2}\\\\\Rightarrow t_1=50\ s[/tex]

Time taken by flicker to cover race with 10 cm head start

[tex]\Rightarrow t_2=\dfrac{60-10}{0.8}\\\\\Rightarrow t_2=62.5\ s[/tex]

Time taken by crayfish is less. Hence, crayfish wins the race

When they both covers the same distance, they tied momentarily i.e.

[tex]\Rightarrow 1.2t=10+0.8t\\\Rightarrow 0.4t=10\\\\\Rightarrow t=\dfrac{10}{0.4}\\\\\Rightarrow t=25\ s[/tex]

After 25 s, they tied the race.

Which expression is equivalent to 4+x+x+2x+5+3+x?

Answers

[tex]\longrightarrow{\blue{B.\:5x\:+\:12}}[/tex] 

[tex]\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}[/tex]

[tex]4 + x + x + 2x + 5 + 3 + x[/tex]

Combining like terms, we have

[tex] = x + x + 2x + x + 4 + 5 + 3[/tex]

Next, add them

[tex] = 5x + 12[/tex]

Therefore, ''[tex]\sf\pink{4 + x + x + 2x + 5 + 3 + x}[/tex]" is equivalent to "[tex]\sf\purple{5x\:+\:12}[/tex]."

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}[/tex]

Answer:

B. 5x + 12.

Step-by-step explanation:

[tex]4 + x + x + 2x + 5 + 3 + x = ?[/tex]

Whenever you see variables without a visible coefficient, imagine there is a '1' in front of the variable.

[tex]4 +(1)x+(1)x+2x+5+3+(1)x=?[/tex]

From here, you can combine like terms.

Remember, combine means to add.

Like terms are terms whose variables (such as x or y) with any exponents are the same (such as x² or y²).

[tex](1)x+(1)x+2x+(1)x=5x.[/tex]

[tex]4+5+3=12.[/tex]

[tex]4+(1)x+(1)x+2x+5+3+(1)x=5x+12.[/tex]

I, therefore believe 5x + 12 is equal to 4 + x + x + 2x + 5 + 3 + x.

Which of these
numbers is closest to
500?
515
488
522
477

Answers

Answer:

488.

Step-by-step explanation:

515-500=15

500-488=12

522-500=22

500-477=23

The closest number to 500 exists at 488.

How to estimate closest number to 500?

The numerical value = 500

Step 1: Subtract the given value from 500 if it exists smaller than 500

Step 2: Subtract 500 from the given value if it exists greater than 500

Step 3: The smallest result obtained exists the number closest to 500

Option A: 477

500 - 477 = 23

Option B: 515

515 - 500 = 15

Option C: 488

500 - 488 = 12

Option D: 522

522 - 500 = 22

12 exists the smallest result among all the given options.

The closest number to 500 exists at 488.

Therefore, the correct answer is option C. 488.

To learn more about the closest value of a number

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The birth weights (in kilograms) of 5 elephants, selected randomly, are 133, 120, 97, 106, 124 (Source: www.elephant.se). Below are the summary statistics of the data and output from the analysis testing if the true average birth weight of the elephants is 100 kg.
min Q1 median Q3 max mean sd n missing
97 106 120 124 133 116 14.40 486 5 0
t = 2.4837, df = 4, p-value = 0.06794
alternative hypothesis: true mean is not equal to 100 95 percent confidence interval:
XXXXXX XXXXXX
What is the correct calculation of a 95% confidence interval for the true average birth weight of elephant?
(i) 116± 1.96 x 14.4
(ii) 116 ± 1.96 x 14.4/15
(iii)116 ±1.96 x 14.4/14
(iv) 116 ± 2.4837 x 14.4
(v) 116 ±2.4837 x 14.4/15
(vi) 116 ± 2.4837 14.4/74
(vii) 116 ± 2.78 x 14.4
(viii) 116 ± 2.78 x 14.4√5
(ix) 116 ±2.78 x 14.4√4

Answers

Answer:

(viii) 116 ± 2.78 x 14.4√5

Step-by-step explanation:

The given data is

Sample size =n= 5

Calculated t- value= 2.4837

Mean= 116

Standard deviation= sd= 14.40486

The t - value from table with 4 d.f for ∝/2 is  t∝/2 (n-1)= 2.776

The 95% confidence interval is calculated by

d` ± t∝/2 (n-1)  *sd/√n

Putting the values

116 ± 2.776* 14.40486/√5

Comparing these values with the options Part viii gives the best answer.

(viii) 116 ± 2.78 x 14.4√5

2.776 when rounded gives 2.78 and 14.40486 when  rounded gives 14.4

The rest are incorrect.

Express tan J as a fraction in simplest terms.
J
34
K
L
16

Answers

Answer:

tanJ = 8/15

Step-by-step explanation:

find JK the adjacent side uisng th pythagorean theorem

a² + 16² = 34²

a² = 34² - 16²

a² = 900

a = 30

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

tan = opp/adj

tanJ = 16/30

Reduce

tanJ = 8/15

To find the constant vector C, we use the given initial condition v(0) = k, we also know that at t = 0, the general equation for v() i:s Comparing both equations for V(0) and solving for C, we have C = k. Substituting it back into the general equation, we have
V(t) = 4ti + 5tj + c = ______.

Answers

Answer:

4ti + 5tj + k

Step-by-step explanation:

Initial condition V(0) = k

at t = 0

general equation for v(t )

V(0) = 0i + 0j + c = k

when we compare V(0) and solve for c ,     c = k

back to general equation

V(t) = 4ti + 5tj + c = 4ti + 5tj + k

how to factor z²-4z+4

Answers

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \: ({ \: z - 2 \: })^{2} \: }}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex] {z}^{2} - 4z + 4[/tex]

[tex] = {z}^{2} - 2z - 2z + 4[/tex]

Taking "[tex]z[/tex]" as common from first two terms and "[tex]2[/tex]" from last two terms, we have

[tex] = z \: ( \: z - 2 \: ) - 2 \: ( \: z - 2 \: )[/tex]

Taking the factor [tex](z-2)[/tex] as common,

[tex] = ( \: z - 2 \: )( \: z - 2 \: )[/tex]

[tex] = {( \: z - 2 \: )}^{1 + 1} [/tex]

[tex] = ({ \: z - 2 \: })^{2} [/tex]

[tex]\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35❦}}}}}[/tex]

A force of 4 pounds is required to hold a spring stretched 0.4 feet beyond its natural length. How much work (in foot-pounds) is done in stretching the spring from its natural length to 0.6 feet beyond its natural length

Answers

Answer:

the work done in stretching the spring from its natural length is -1.8 ft.lb

Step-by-step explanation:

Given the data in the question;

From Hook's law, the magnitude of force applied on a spring is expressed as follows;

|F| = k|x|

where F is the force applied the spring, k is the spring constant, x is the length extension

Now, given that; F = 4 pounds = 4 lb and x = 0.4 ft

we substitute

4 = k × 0.4

k = 4 / 0.4

k = 10 lb/ft

Also, Hook's law can be expressed as follows;

F = -kx  ---------- let this be equation 1

Now, work done by a force applied between two points is expressed as follows;

dW = Fdx ----------- let this be equation 2

substitute equation 1 into equation 2

dW = (-kx )dx

we integrate both side

∫(dW) = ∫((-kx )dx)

W = -k∫xdx

W = -k[tex]\frac{x^2}{2}[/tex]

w = -[tex]\frac{1}{2}[/tex]kx²

we substitute 10 lb/ft for k and 0.6 ft for x

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × (0.6 ft)²

w = -[tex]\frac{1}{2}[/tex] × 10 lb/ft × 0.36 ft²

w = -1.8 ft.lb

Therefore, the work done in stretching the spring from its natural length is -1.8 ft.lb

Complete the factorization of 4x2 – 9.



4x2 – 9 = (
x –
)(
x +
)

Answers

Answer:

2x - 3    2x +3

Step-by-step explanation:

so its 2,3,2,3

The function 4x^2 - 9 is a quadratic function, and the factorized expression of 4x^2 - 9 is (2x - 3)(2x+ 3)

What is factorization?

Factorization involves splitting a function into several factors

The expression is given as:

[tex]4x^2 - 9[/tex]

Express 4 as the square of 2

(2x)^2 - 9

Express 9 as the square of 3

(2x)^2 - 3^2

Apply the difference of two squares

(2x - 3)(2x+ 3)

Hence, the factorized expression is (2x - 3)(2x+ 3)

Read more about factorization at:

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Do problem 9
I NEED HELP IM CONFUSED

Answers

Answer:

1st answer 52+7=59

2nd answer 52-18=32

3rd answer 74-52=22

4th answer 2×52=104

please mark it as the brainlliest answer

how do i solve this question.

Answers

try a protractor to solve it

How to solve problem?

Answers

Answer:

m<ADE = 57 degrees

Step-by-step explanation:

Angles of a quadrilateral add up to 360. We are already given 69 and 45, which can both be subtracted from 360, leaving us with 246. Since the two remaining angles are congruent, 246 can be divided by 2 to find the remaining measure(s). We are left with 123. However, m<ADE is supplementary to this. So we subtract 123 from 180. The final answer is 57 degrees.

Select the two correct solutions of the inequality x + 8 > 14

2

4

6

8

10

Answers

[tex]\huge\textsf{Hey there!}[/tex]

[tex]\large\text{x + 8 } \mathsf{>}\large\text{ 14}[/tex]

[tex]\large\textsf{SUBTRACT 8 to BOTH SIDES}[/tex]

[tex]\large\text{x + 8 - 8 }\mathsf{>}\large\text{ 14 - 8}[/tex]

[tex]\large\textsf{CANCEL out: \text{8 - 8} because that gives you \text{0}}[/tex]

[tex]\large\textsf{KEEP: \text{14 - 8} because that helps what you are comparing to the \text{x}}[/tex]

[tex]\large\text{x }\mathsf{> }\large\text{ 14 - 8}[/tex]

[tex]\large\text{14 - 8 = \boxed{\bf 6}}\large\checkmark[/tex]

[tex]\large\text{x }\mathsf{>}\large\text{ 6}[/tex]

[tex]\boxed{\boxed{\large\textsf{Answer: \bf x}\mathsf{\bf >}\large\text{ \bf 6 }}}\huge\checkmark[/tex]

[tex]\large\textsf{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

PLEASE HELP! 50 POINTS A circle has a radius of 3. An arc in this circle has a central angle of 20°.
What is the length of the arc?
Either enter an exact answer in terms of it or use 3.14 for pie and enter your answer as a decimal.

Answers

Answer:

sana Po nakatulong

stay safe po

Choose all lengths that are equal to 6 feet 12 inches

A 3 yd 1 ft
B 7 ft
C 7 ft 2 in.
D 2 yd 1 ft
E 1yd 4 ft

Answers

b and e because 6’12” is exactly to 7 feet. there are also 3 feet in a yard so 3 feet + 4 feet = 7 feet

The only length that is equal to 6 feet 12 inches is 7 ft.

What is unit of measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

To compare lengths, we need to convert all of them to the same units. One way to do this is to convert everything to inches.

6 feet 12 inches is equal to 6 x 12 + 12 = 84 inches.

3 yd 1 ft = 3 x 3 x 12 + 1 x 12 = 109 inches, which is not equal to 84 inches.

7 ft = 7 x 12 = 84 inches, which is equal to 6 feet 12 inches.

7 ft 2 in. = 7 x 12 + 2 = 86 inches, which is not equal to 84 inches.

2 yd 1 ft = 2 x 3 x 12 + 1 x 12 = 78 inches, which is not equal to 84 inches.

1yd 4 ft = 1 x 3 x 12 + 4 x 12 = 60 inches, which is not equal to 84 inches.

Therefore, the only length that is equal to 6 feet 12 inches is 7 ft.

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What is the initial value of the function represented by this table?

Answers

Answer:

2

Step-by-step explanation:

3+2=5 and 5+2 =7 and on x side just add 1

Bill can hit a bucket of 323 golf balls in 17 hours.
How many golf balls can Bill hit in 23 hours?

Answers

Bill can hit 437 golf balls in 23 hours.

Explanation:

Bill’s unit rate of golf balls per hour is:
323 ÷ 17 = 19

19 golf balls per hour

To find how many golf balls Bill can hit in 23 hours, multiply:
19 • 23 = 437

Therefore, Bill can hit 437 golf balls in 23 hours.

Please, say if my answer is right
If its, glad to help!

-SpaceMarsh

Would you rather have your debit card declined if you don't have enough
money to pay for something or would you rather pay the overdraft fee?
and why I'll mark brainest

Answers

I’d rather have my card declined because then i won’t overspend money that i dont have. The only exception would be an emergency for someone close to me or something along those lines.

If you have any more questions feel free to ask in the comments!

Hope this helps!!!

Answer:

I would have my debit card declined because it is a better choice prob than having to pay the overdraft fee.

if Tom had 78 apples and he gave to the shop for 80% and he put it on sale for another 10% what many apples would Tom get in the end?

Answers

Answer:

he has to many apples

Step-by-step explanation:  

Never gonna give you up

Never gonna let you down

Never gonna run around and desert you

Never gonna make you cry

Never gonna say goodbye

Never gonna tell a lie and hurt you

Use the graph to answer the question.
What is [tex]\frac{AD}{AB}[/tex] in simplest form?
A. [tex]\frac{10}{3}[/tex]
B. [tex]\frac{1}{3}[/tex]
C. [tex]\frac{17}{5}[/tex]
D. 3

Answers

Answer:

D. 3

Step-by-step explanation:

Distance between A and D = AD = 9 units

Distance between A and B = AB = 3 units

[tex] \frac{AD}{AB} = \frac{9}{3} [/tex]

Simplify by dividing

[tex] \frac{AD}{AB} = \frac{3}{1} [/tex]

[tex] \frac{AD}{AB} = 3 [/tex]

The answer is 3

Bob can mow a yard in 5 hours and Jeff can mow the same lawn
in 3 hours. Which equation could be used to solve an equation to find the time
it would take to mow the yard if they both mowed the lawn at the same time? *

Answers

Answer:

2 hours

Step-by-step explanation:

because they work faster togetter and jeff mows faster

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