16^3x+8^x+6

Could you please give me the steps as well for this problem? ​

16^3x+8^x+6Could You Please Give Me The Steps As Well For This Problem?

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

[tex]16^{3x} = 8^{x+6} \\2^{4(3x)} = 2^{3(x+6)} -->[/tex] (16 = [tex]2^{4}[/tex] and 8 = [tex]2^{3}[/tex] )

[tex]2^{12x} = 2^{3x+18}[/tex]

Since the base number is 2, the exponents must equal each other.

So:

12x = 3x+18

9x = 18

x = 2


Related Questions

Which set of numbers is ordered from greatest to least?
A. -6, -10, 0,3
B.-7, -5, 2,6
C. 4, 3, -2,-6
D.-3, -6, 9, 11

Answers

Answer:

C

Step-by-step explanation:

Positives are bigger than negatives, so the highest is 4 and the lowest is Negative 6.

Answer:

c is the answer

Step-by-step explanation:

because when the number is negative it's lowe than a positive number and the answer "c" has the first number as a positive which that number is the greatest out of all of them in that answer

In ΔCDE, the measure of ∠E=90°, the measure of ∠C=70°, and DE = 12 feet. Find the length of CD to the nearest tenth of a foot

Answers

Answer:

[tex]CD = 4.4ft[/tex]

Step-by-step explanation:

Given

[tex]DE = 12[/tex]

[tex]\angle C = 70^\circ[/tex]

Required

Find CD

This question is represented with the attached triangle

To solve CD, we make use of tan formula.

[tex]tan(70) = \frac{DE}{CD}[/tex]

Substitute 12 for DE

[tex]tan(70) = \frac{12}{CD}[/tex]

Make CD the subject

[tex]CD = \frac{12}{tan(70)}[/tex]

[tex]CD = \frac{12}{2.7475}[/tex]

[tex]CD = 4.4ft[/tex] --- approximated

Answer:

12.8

Step-by-step explanation:

Express each of the following in the form
[tex] {7}^{x} [/tex]
a)
[tex] \sqrt[5]{7} [/tex]
b)
[tex] \frac{1}{ \sqrt[7]{7} } [/tex]
Answer:

Explanation:​

Answers

Answers:

a)  [tex]7^{1/5}[/tex]b)  [tex]7^{-1/7}[/tex]

Each answer has 7 as the base and a fraction as an exponent.

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

Explanation:

One useful rule here is that [tex]\sqrt[n]{x^m} = x^{m/n}[/tex]. The fraction m/n is the exponent for the base x. Note how the index of the root (n) becomes the denominator of the fraction m/n. So for example if we had n = 3, then we'd be dealing with a cube root.

For part a), we have x = 7, m = 1 and n = 5 to get

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[5]{7^1}=7^{1/5}\\\\\sqrt[5]{7}=7^{1/5}\\\\[/tex]

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

Part b) is the same idea

We would find that

[tex]\sqrt[n]{x^m}=x^{m/n}\\\\\sqrt[7]{7^1}=7^{1/7}\\\\\sqrt[7]{7}=7^{1/7}\\\\[/tex]

Then apply the reciprocal to both sides. This is the same as raising both sides to the exponent -1

[tex]\sqrt[7]{7}=7^{1/7}\\\\\left(\sqrt[7]{7}\right)^{-1}=\left(7^{1/7}\right)^{-1}\\\\\frac{1}{\sqrt[7]{7}}=7^{1/7*(-1)}\\\\\frac{1}{\sqrt[7]{7}}=7^{-1/7}\\\\[/tex]

You could also use the rule that x^(-y) = 1/(x^y) when dealing with negative exponents.

In the second to last step shown above, I used the rule (x^y)^z = x^(y*z) on the right hand side.

Plz help i need help thx brainliest 5 star!!!!!!!!!!!!!

Answers

Answer:

Part A: d ≥ 500

Part B: d must be over or equal to 500 but can go infinity at 500+

Step-by-step explanation:

Part A:

≥ stands for "at least" and d has to be "at least" 500,

hence d ≥ 500

hellllllllpppppppppppp!!

Answers

Answer:

120 and can I have brainliest

Step-by-step explanation:

Can somebody help me on this and if so please answer correctly​

Answers

The answer is A. Good luck man!! :)

Find the length of side x in simplest radical form with a rational denominator.
6
х
45
BO
Answer:
Submit
rower
Submit Answer

Answers

Answer:345

Step-by-step explanation:

1
3.1.1 What does 'in excess of' mean?​

Answers

Answer:

more than.

"a top speed in excess of 20 knots"

Similar:  "more than"  "over"  "above"  "over and above"  "beyond"

A circle is drawn within a square as shown. What is the best approximation for the area of the shaded region? Use 3.14 to approximate pi. There is a shaded square with a circle inside it and there is a 28 in. Mark on the side of the square.

Answers

Answer:

168.168 square inches

Step-by-step explanation:

Given data

From the question, we can deduce that the side of the square is 28in

Hence the area of the square is

Area= 28^2

Area= 784 square inches

Also, the diameter of the circle is 28 in

The radius = 14 in

Area of circle= πr^2

Area= 3.142*14^2

Area= 3.142* 196

Area= 615.832 square inches

Therefore the area of the shaded region is

= Area of Square - Area of Circle

= 784-615.832

=168.168 square inches

Work out the surface area of this solid prism.
8m
x 5m
3m
4m
The diagram is not drawn to scale.
unit: m2

Answers

Answer:108

Step-by-step explanation:

The base area of a square-based prism is 25 ft squared. One of the lateral faces of the prism is 30 ft squared. What is the surface area of the prism?

Answers

Answer:

170 ft²

Step-by-step explanation:

Surface area = 4*lateral faces + 2*bases

A = 4*30 + 2*25 = 170 ft²

Solve the equation p + 5| = 3.
o p = 8 or p = 2
p= -8 or p = -2
p= 2 or p = -8
O p=-2 or p = 8

Answers

It’s P the 2nd one. The reason why it’s that because u add 5+3= 8

The odometer in a car measures the number of miles driven by the car since it was made. During a trip, the odometer reading in Anita’s car is modeled by the function y=9500+55x, where x represents the number of hours driven during the trip and y represents the odometer reading in miles.

Part A

What is the meaning of the rate of change in this function?


The number of miles driven each hour during the trip.

The total number of miles driven at the beginning of the trip.

The total number of miles driven at the end of the trip.

The number of miles driven during the trip.
Question 2
Part B

What was the odometer reading, in miles, before Anita’s trip?

Answers

Answer:

Step-by-step explanation:

Part A

The units on 9500 must be miles. So if x is time, then 55 must be the rate at which she travels ie 55 miles per hour. So the answer must be A.

Part B

The trip began when the time was zero. Therefore x is zero. What remains is the mileage on the odometer when x = 0.  The answer must be 1950.

On a certain hot​ summer's day, 218 people used the public swimming pool. The daily prices are $1.25 for children and $2.00 for adults. The receipts for admission totaled $349.75.
How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

We call x the number of children and y the number of adults

We have system of equations

x + y = 218 (1)

1.25x + 2y = 349.75 (2)

(1) => x = 218 - y. Replace x in (2) 1.25 (218-y) + 2y = 349.75

=> y = 103 replace y in (1) x = 218-103 = 115

Children and how many adults swam at the public pool that​ day is : 115 and 103

Step-by-step explanation:

please help me find -r+7r-15p-7p

Answers

Answer:

−22

I Need Help! ASAP

Part A. Johnny translated ABCD 3 units to the right and 4 units up to a new position, EFGH. Draw and label EFGH.
Part b. Tom rotated ABCD to a new position, IJKL, 90º clockwise about the origin, O. Draw and label IJKL.
Part c. Tony placed a smaller car, represented as MNOP, on the coordinate plane. MNOP is a dilation of ABCD with its center at the origin and a scale factor of -0.5. Draw and label MNOP.

Answers

first is adg which cuases the positions to go up

The volume of a mini-basketball is approximately 4846.59 cubic centimeters. What is the approximate radius of a mini-basketball?
A
10.5 cm

B
11.5 cm

C
21 cm

D
23 cm

Answers

Answer:

A

Step-by-step explanation:

4/3 pi r3= 4846.59*3/4/pi=1157.625

so r3= 1157.625

so taking cube root on both sides we get

10.5 which is A

if my answer helps please mark as brainliest.

B. 10.49823 (10.5 centimeters)

Simply reverse the formula for the volume of a sphere: pi*r^3*(4/3)

pi*r^3*(4/3)=4846.59
r^3*(4/3)=1524.71751128
r^3*4=4628.1523384
r^3=1157.03813346
r=10.49823
Round.

Answer: 10.5

Which function is represented by the graph?
A)f(x) = 2x + 6
B)f(x) = -2x + 6
C)f(x) = 1/2x + 6
D)f(x) = -1/2x + 6

Answers

Answer:

It is (D)

[tex]f(x) = \frac{ - 1}{2} x + 6[/tex]

Step-by-step explanation:

I hope that is useful for you

Help me with this!! Will mark Brainliest

Answers

Answer:

yes both are the distance of 99mm

Answer:

yes

Step-by-step explanation:

they are equal in length

Evaluate the expression when g=3 and h= 17
h−5g

Answers

2.
EXPLANATION:
If g= 3 we can replace g with 3.

Now we have h-5 x 3

and if h= 17, we can replace h with 17.

Now we have 17 - 5 x 3.

because of pemdas, multiplication is first

5 x 3 is 15,

17 - 15 is 2.

2.


Answer:

2

Step-by-step explanation:

17 - 5(3) (Plug in)

= 17-15 (Multiply)

= 2 (Simplify)

A radio disc jockey has 8 songs on this upcoming hour's playlist: 2 are rock songs, 4 are reggae songs, and 2 are country songs. The disc jockey randomly chooses the first song to play, and then she randomly chooses the second song from the remaining ones. What is the probability that both songs are reggae songs? Write your answer as a fraction in simplest form.

Answers

Answer:

[tex] \displaystyle \frac{1}{28} [/tex]

Step-by-step explanation:

we are given 8 songs

2 are rock. 4 are reggae, 2 are country

we want to figure out the probability of getting both reggae songs

notice that, they aren't replacing thus it's an independent probability

recall that,

[tex] \displaystyle \rm P(A \: \text{and} \: B) = P(A) \times P(B \mid A)[/tex]

P(A) represents the chance of getting our subject first time and P(B|A) represents the chance of getting the same subject second time

let's figure out P(A)

we have 2 reggae songs

and total 8 songs

therefore

[tex] \displaystyle\rm P(A) = \frac{2}{8} = \frac{1}{4} [/tex]

let's figure out P(B|A)

since we took a reggae song before now we have only a reggae song

and total 8-1=7

therefore

[tex] \displaystyle \rm P(B\mid A) = \frac{1}{7} [/tex]

Altogether

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{4} \times \frac{1}{7} [/tex]

simplify multiplication:

[tex] \displaystyle \rm P(A \: \text{and} \: B) = \frac{1}{28} [/tex]

And we are done!

pretty please help i will mark brainlyist

Answers

Answer:

(4,3) is 2

(-2,5) is 1

(-1,-1) is 3

(3,-5) is 4

Step-by-step explanation:

Answer:

put the green dot 4 marks to the right and 3 marks up

put the purple dot 2 marks to the left and 5 marks up

put the blue dot 1 mark to the left and 1 mark down

put the pink dot 3 marks to the right and 5 marks down

Step-by-step explanation:

its a pretty self explanitory question. just put the colord dots on their matching coordinates

PLZ HELP!! I'm really stuck

>n

Answers

A is right one to choose

what’s the answer, and how do I find it step-by-step?

Answers

Answer: 16p^8q^4r^8 The yellow one

Step-by-step explanation:

Step 1: Use Multiplication Distributive Property: (xy)^a = x^a y^a. So 4^2p^2(q^3)(r^4)^2

Step 2: Simplify 4^2 to 16. So 16p^2(q^3)^2(r^4)^2

Step 3: Use Power Rule: (x^a)^b=x^ab. So 16p^2q^6(r^4)^2

Step 4: Use Power Rule: (x^a)^b=x^ab. So the answer is 16p^2q^6r^8. The yellow one

3
4Xα =αX 4 what rule is being used in each in of these equations :commutative,associative or distributive​

Answers

Answer:

commutative property........

If the probability that the Islanders will beat the Rangers in a game is 5/6, what is the probability that the Islanders will win at least five out of six games in a series against the Rangers? Round your answer to the nearest thousandth.
ANSWER IS 0.737

Answers

0.737 is the correct answer.

The area of a rectangular
driveway is 2x2 + 15x + 25.
The width of the driveway is
x + 5. What is the length of
the driveway?

Answers

Answer:

2x+5

Step-by-step explanation:

Okay so lets first factor 2x^2+15x+25

2*25=50

10+5=15

10*5=15

(x+10/2)(x+5/2)

=(x+5)(2x+5)

we know that the width is x+5 so that means the length has to be 2x+5

What is the area of this figure?​

Answers

Answer:

Im not going to give you the answer but try this by your self.

Step-by-step explanation:

To figure out the area multiply each side together. To find the perimiter add all the sides.

Answer:

671

Step-by-step explanation:

16 × 9 = 144

13 + 16 = 29

29 × 9 = 261

9 + 29 = 38

38 × 7 = 266

266 + 261 + 144 = 671

Help asap plss i will give you brainliest

Answers

Answer:

A. -80x + 24

Step-by-step explanation:

- 8( 10x - 3 )

- 8( 10x )

= - 80x

- 8 ( - 3 )

= 24

- 80x + 24

Remember, when you multiply a negative number with another negative number it will become positive

Hope this helps dude

-80x+24 hope this helped have a nice day✌️

just do number 3 quick please

Answers

Answer:

Step-by-step explanation:

Sin A = [tex]\frac{opposite side}{hypotenuse}=\frac{5}{13}\\\\[/tex]

Cos A = [tex]\frac{Adjacent side}{hypotenuse}=\frac{12}{13}[/tex]

Tan A = [tex]\frac{opposite side}{adjacent side}=\frac{5}{12}[/tex]

A = tan⁻¹ (5/12) = 22.61°

Answer:

Step-by-step explanation:

a) Sin A = opposite/hypothenuse

Sin A = 5/13 ≈ 0.3846..

b) Cos A = adjacent/hypothenus

Cos A = 12/13 ≈ 0.9230..

c) Tan A = opposite/adjacent

Tan A = 5/12 ≈ 0.4166..

d) we will use the inverse Sine function

< A = sin^-1(5/13)

< A = sin^-1(0.3846) ≈ 22.62°

P.S. You can use any of the three inverse functions to find the angle: sin^-1 | cos^-1 | tan^-1

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