=-= 50 Points =-= Must give the correct answer

Solve by equating exponents and using the Equality of Bases Property.


Solve (2)^x/2 = 16 for x

=-= 50 Points =-= Must Give The Correct AnswerSolve By Equating Exponents And Using The Equality Of Bases

Answers

Answer 1

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5

Answer 2

Answer:

x=5

Step-by-step explanation:

(2)^x/2 = 16

Multiply both sides by 2

(2)^x/2 *2 = 16*2

2^x = 32

Rewrite 32 as a power of 2

2^x = 2^5

x=5


Related Questions

Solve
x + y = 100 x -y = 10
Pair of Equation

Answers

x + y = 100

x - y = 10

_____________ +

( x + y ) + ( x - y ) = 100 + 10

2x + y - y = 110

2x = 110

x = 110/2

x = 55

_________________________________

x - y = 10

55 - y = 10

- y = 10 - 55

- y = - 45

y = 45

♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡♡

x = 55 ..**&**.. y = 45

the price of a photography machine in RS60000.find the price after inculding13%tax

Answers

Answer:

Rs. 67800

Step-by-step explanation:

Price of photograph = 60000 = 100%

Tax = x dollars = 13% of 60000

100% + 13% = 113% = 1.13

Multiply

1.13(60000) = 67800

To check, lets find 13% of 60000 and add to 60000

13% = 0.13

0.13(60000) = 7800

60000 + 7800 = 67800

Units = Rs

Rs. 67800

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

ASAP
-WILL MARK BRIANIST

Answers

Answer:

C and D

Step-by-step explanation:

If you find the percentage of 95% of 6 it will give you an answer of 5.7

.95 x.006 equals 0.0057

95x6 equals 570

0.95 x 6 equals 5.7

95/100 x 6 equals 5.7

Please help!!!! There are 324 students coming.

Answers

Answer:     $1,314.40

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

Explanation:

Assuming there are 324 seats available for the 324 students, this means that 324*5.60 = 1,814.40 dollars is earned in revenue from ticket sales.

Let x be the cost of equipment, lighting, and costumes combined.

The expression 1814.40 - x represents the profit made. It's the amount of money left after the bills are paid, so to speak. Or you could say profit = revenue - cost.

The committee wants $500 remaining, so they want 1814.40 - x to be equal to 500.

Let's solve for x

1814.40 - x = 500

-x = 500-1814.40

-x = -1314.40

x = 1314.40

So if $1,314.40 is spent on equipment, lighting, and costumes combined, then the committee will have $500 left over. If they spend less on those items, then the profit is more than $500. This means that $1,314.40 is the most they can spend.

Pythagorean theorem please show work thank you

Answers

Answer:

Step-by-step explanation:

I'm not too sure about this question but I think the whole width part is just bait/irrelevant

Joan works on commission for a furniture store. She gets a base pay of $80 a day plus 4 percent of the value of any merchandise she sells that exceeds a total of $400. Joan wrote the expression 400 + 0.04(t − 80), where t represents her sales total in dollars, to compute the total amount of money that she will make. For sales of $500 Joan calculated that she will make $416.80. Explain Joan's error by completing the correct expression and how much she will make.

Answers

Answer:

Total amount earned = $84

Step-by-step explanation:

The correct expression is

Total amount earned = 80 + 4% of (t - 400)

= 80 + 0.04(t - 400)

where,

t = her sales total in dollars

Total amount of money that she will make for sales of $500

Total amount earned = 80 + 0.04(t - 400)

= 80 + 0.04(500 - 400)

= 80 + 0.04(100)

= 80 + 4

= 84

Total amount earned = $84

Which relation is a function?


{(5, 0), (0, 1), (5, 2), (4,4)}

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

{(3, 2), (2,1), (−1, 2), (3,3)}

{(1, 2), (2,4), (−1, 2), (0,3)}

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

D) {(1, 2), (2,4), (−1, 2), (0,3)}

»»————- ★ ————-««  

Here’s why:  

A function is a relation in which one element of the domain is assigned to exactly one element of the range. This means that the domain (x) values must not repeat.

⸻⸻⸻⸻

Option A's answer is incorrect, as the domain value of '5' repeats.

{(5, 0), (0, 1), (5, 2), (4,4)}  

⸻⸻⸻⸻

Option B is not a function due to the repeating '-4' value.

{(0, 1), (−4, 1), (4, 2), (−4,−1)}

⸻⸻⸻⸻

The '3' in option C's given relation repeats.

{(3, 2), (2,1), (−1, 2), (3,3)}

⸻⸻⸻⸻

Option D is the correct answer, as there are no domain values that repeat.  

{(1, 2), (2,4), (−1, 2), (0,3)}

Therefore, option D is a function.

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What value of x would prove a || b (a parallel to b)? (Hint: Add consecutive interior angles to solve for x).

Answers

Answer:

x=8

Step-by-step explanation:

19x-13+6x-7=180

x=8

We have a || b (a parallel to b), the interior angle property. Therefore, the value of x would be 8.

What is the sum of interior angles of parallel lines?

The sum of all the interior angles of parallel lines is equal to 180 degrees.

We have a || b (a parallel to b), the interior angle property

19x - 13 + 6x - 7 = 180

25x - 20 = 180

25x=  200

x = 8

Therefore, the value of x would be 8.

Learn more about the interior and exterior angles here:

https://brainly.com/question/14173422

#SPJ2

please help me with the step by step ​

Answers

Answer:

stay safe healthy and happy....

Step-by-step explanation:

This is the correct answer

Which statement best describe the sides of a rhombus? *
A) Is a parallelogram with four congruent sides
B) Is a parallelogram with only the two opposite sides congruent
C) Is a parallelogram with the opposite sides congruent but not parallel
D) Is a quadrilateral that does not have the properties of a parallelogram

Answers

Answer:

the option A is a correct ans .

What is the value of the expression below?

Answers

Answer:

D. 2

Step-by-step explanation:

Multiply the exponents to simply equation

5/3 * 1/5 = 5/15 = 1/3

8^1/3 = 2

Cube root of 8 is 2

I need answer immediately

Answers

Answer:

Answer is 1 minute

Step-by-step explanation:

The y-axis shows how many blocks and the the x-axis shows the time. So if he traveled 6 blocks, based on the graph, it took him 1 minute

It’s nothing you have to uiiiiiiiiuiiiiiiiiiiiiiiiiiiiiiiiiiiiuuiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii

A committee consisting of 5-studnts is to be formed out of 10, of which 4-are females and 6-are males. How many committees can be formed if 3 males are to be included

Answers

Answer:

120 committees can be formed if 3 males are to be included

Step-by-step explanation:

Total members in the committee = 5

Out of 10 people, 6 are males and 4 are females

In committee of 5 people, 3 males are to be chosen out of 6 and 2 females are to be choses out of 4

Total number of outcomes = 4C2 * 6C3

Total number of outcomes = 6 * 20 = 120

Mondo correctly finds the closest benchmarks for three numbers.


Three and StartFraction 6 over 25 EndFraction is closest to the benchmark 3

3.8 is closest to the benchmark 4

Three and four-ninths is closest to the benchmark Three and one-half


Which shows the numbers Three and StartFraction 6 over 25 EndFraction, 3.8, and Three and four-ninths in order from greatest to least?



Three and StartFraction 6 over 25 EndFraction, Three and four-ninths, 3.8


Three and StartFraction 6 over 25 EndFraction, 3.8, Three and four-ninths


3.8, , Three and StartFraction 6 over 25 EndFraction


3.8, Three and StartFraction 6 over 25 EndFraction,

Answers

Answer:

From greatest to least, the order is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

Step-by-step explanation:

Given

[tex]Closest\ Benchmark \to Number[/tex]

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

Required

Order [tex]3\frac{6}{25}, 3.8, 3\frac{4}{9}[/tex] from greatest to least

From the given parameters, we have:

[tex]3\frac{6}{25} \to 3[/tex]

[tex]3\frac{4}{9} \to 4[/tex]

This implies that:

[tex]3\frac{4}{9}\ >\ 3\frac{6}{25}[/tex] --- we know this from the nearest benchmark

Convert [tex]3\frac{4}{9}[/tex] to decimal

[tex]3\frac{4}{9} = 3.44[/tex]

By comparison;

[tex]3.8 >\ 3\frac{4}{9}[/tex]

Hence, the list is:

[tex]3.8,\ 3\frac{4}{9},\ 3\frac{6}{25}[/tex]

What is 63,998 in expanded form?

Answers

Answer:

60,000    3,000  900     90     8

Step-by-step explanation:

Answer:

60,000+3,000+900+90+8

Step-by-step explanation:

I used go ogle

Someone please help

Answers

Answer:

15 cm

Step-by-step explanation:

.....................

Which statement is always true about a regular polygon?

Answers

Answer:

All polygons have straight lines

Step-by-step explanation:

For a polygon to be 'regular' it must have all sides the same length and all interior angles the same.

Please help you guys I really need it!

Answers

Answer:

Undefined

Step-by-step explanation:

A vertical line doesn't have a slope since it doesn't run horizontally.

Answer:

0

Step-by-step explanation:

a straight line doesn't have a slope

Which unit rate is equivalent to the ratio 12 to 3?

Answers

Answer:

[tex]\frac{4}{1}[/tex]

Step-by-step explanation:

You can think of the ratio 12 to 3 as another fraction such as [tex]\frac{12}{3}[/tex].

If you want the denominator (bottom number) to be 1, you can divide 12 by 3 which equals 4.

Your new fraction would be [tex]\frac{4}{1}[/tex].

Thank you for anyone who knows this

Answers

Answer:  

Part (a) Vertex = (-3, -1)Part (b) Vertex = (4, 5)Part (c) function 2; max value = 5

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

Explanations:

Part (a)

In this case, the vertex is the highest point, so the vertex of function 1 is (-3, -1)

If the parabola was flipped so that it opened upward, instead of downward, then the vertex would be the lowest point.

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

Part (b)

We could graph this function to see where the highest or lowest point is, but there's another way we could find the vertex using algebra.

The given equation is in the form y = ax^2 + bx + c where in this case

a = -2b = 16c = -27

The a and b values are plugged into the formula below to get

h = -b/(2a)

h = -16/(2*(-2))

h = -16/(-4)

h = 4

This is the x coordinate the vertex since the vertex is (h,k)

To find k, we plug that value of h into the original function to find its corresponding y value.

y = -2x^2 + 16x - 27

y = -2(4)^2 + 16(4) - 27

y = -2(16) + 16(4) - 27

y = -32 + 64 - 27

y = 5

We found that h = 4 leads to k = 5. The vertex is (h,k) = (4, 5)

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

Part (c)

We'll compare the y values of each vertex

Function 1 has a vertex of (-3, 1)Function 2 has a vertex of (4, 5)

The vertex with the larger y value is the winner, so that would be function 2. This parabola reaches a higher peak compared to the other curve.

The max value here is y = 5. In other words, it's the maximum output the function can produce.

If you graphed functions 1 and 2 together on the same xy grid (see below), you'll see that the curve for function 2 reaches a higher peak.

Suppose that another outbreak has been detected. On Sept 1, there were 60 reported cases. A week later, there were 75 reported cases.


If the disease continues spreading exponentially, how many weeks after Sept 1 will 850 cases be expected? Round to the nearest weeks

Answers

Answer:

Cases will increase to 850 in half day

Step-by-step explanation:

Given

The number of reported cases increase from 60 to 75 in seven days (week)

rate of increase of cases = 75-60/7 = 15/7

Now, as per the exponential growth equation

[tex]P = P_0 * e^{r*t}[/tex]

Substituting the given values we get

[tex]850 = 60 * e^{\frac{15}{7} * t}\\e^{\frac{15}{7} * t} = 14.167[/tex]

Taking log on both sides we get

15/7 * t = 1.15

t = 1.15 *7/15

t = 0.537 days = half day

Jess is building a skateboarding ramp in the shape of a triangular prism with the dimensions shown. If Jess wants to cover all faces of the ramp with plywood, how much plywood will he need? A triangular prism. The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet. The 2 triangular sides have a base of 3 feet and height of 4 feet.

Answers

Answer:

156 ft²

Step-by-step explanation:

Given :

The rectangular sides are 12 feet by 3 feet, 12 feet by 5 feet, and 12 feet by 4 feet.

The 2 triangular sides have a base of 3 feet and height of 4 feet

We sum the area of each side:

Area of triangular side = 1/2 * base * height

Since there are 2 triangular sides :

Total area of triangular side = 2(1/2 * base * height)

Triangular side = 2 * 1/2 * 3 * 4 = 12 feet²

Area of rectangle sides = lengtb * width

Area 1 = 12 * 3 = 36 ft²

Area 2 = 12 * 5 = 60 ft²

Area 3 = 12 * 4 = 48 ft²

Total = 12 + 36 + 60 + 48 = 156 ft²

X^2 +14x+13=0 solve for X

Answers

(x+13) (x+1) —> x= -13 and x= -1

X=13,1

I hope this helped :)

I need answer Immediately!!!!!!

Answers

Answer:

Step-by-step explanation:

https://www.numerade.com/questions/write-the-equation-for-the-graph-that-is-shown-check-your-book-to-see-graph-3/

-98
Hope it helps you

An inground pool is 34 feet long and x inches wide. Its brick walkway is 4 feet wide around the pool. What expression represents the area of the brick walkway?

Answers

Answer:

[tex]A_w=238x-2176[/tex]

Step-by-step explanation:

From the question we are told that:

Length of pool [tex]L=34ft[/tex]

Width of Pool [tex]W=x[/tex].

Brick walkway Width [tex]W_b=4[/tex]

Generally the expression for a Area of pool is mathematically given by

 [tex]A=L*W[/tex]

 [tex]A=34*x[/tex]

 [tex]A=34x[/tex]

Generally the expression for a Area of pool + Walkway is mathematically given by

 [tex]A'=L'*B'[/tex]

where

 [tex]L' =L+2(W_b)[/tex]

 [tex]L' =34+2(4)[/tex]

 [tex]L'=34+8[/tex]

 [tex]L'=272[/tex]

And

 [tex]W'=W+2(W_b)[/tex]

 [tex]W' =x+2(4)[/tex]

 [tex]W' =x+8[/tex]

Therefore

 [tex]A'=L'*B'[/tex]

 [tex]A'=(272)*(x+8)[/tex]

 [tex]A'=272x+2176[/tex]

Generally the expression for a Area of Walkway is mathematically given by

 [tex]A_w=Area\ of\ Pool+Walkway-Area\ of\ Pool[/tex]

 [tex]A_w=A'-A[/tex]

 [tex]A_w=272x+2176-34x[/tex]

 [tex]A_w=238x-2176[/tex]

Find the coordinates of the center and the measure of the diameter for a circle whose equation is (x + 8)2 + (y - 4)2 = 81

Answers

Reminder :

( x + a )^2 + ( y + b )^2 = ( R )^2

Center : O = ( - a , - b )

R = radius

_____________________________

( x + 8 )^2 + ( y - 4 )^2 = ( 9 )^2

Center : O = ( - 8 , 4 )

radius = 9

Diameter = 2 × radius = 18

please help i keep getting the wrong answer and it’s due soon

Answers

Answer:

I think its 967.22 (2dp) I'm sorry if it's wrong

Step-by-step explanation:

use formula 2*pi *r

Find the volume of the given prism. Round to the nearest tenth if necessary.

Answers

17m^3

Volume = Length x Height x Depth
Since it’s a essentially half a rectangle you divide the answer by 2.
V = 2 x 17 x 1 -> 34
34/2 = 17m^3

A set of 3 erasers costs $1.68. At this price rate, how much would 10 erasers cost?​

Answers

Answer:

$5.60

Step-by-step explanation:

1.68/3 = .56

10 x .56 = 5.6

Answer:

$5.60

Step-by-step explanation:

1.68 / 3 = 0.56

This is the cost of one eraser.

Now, to find the cost of ten, all we have to do is:

0.56 x 10 = $5.60

Hope i could help :)

Tyra, Ella, Tran and Ann share equally in the rental of a car. If the total cost of the rental is C dollers which expression represents Tyras share of cost

Answers

Answer:

C/4

Step-by-step explanation:

The amount divided by the amount of people will show how much each person owes

Other Questions
What is the mettre expression for se fcher? which rhetorical strategy is an author using if he uses strong and specific evidence to makes sure they are avoiding hasty generalizations The human eye has two lenses.O trueO False PLEASE HELP ME I WILL GIVE BRAINLIEST TO WHOEVER GETS RIGHTAnthony deposits 1,250 in a savings account with an interest rate of 6% if the Interest rate is compounded monthly than the account balance after t years is given by the expression below 1250(1+0.06/12)^12t what does (1+0.06/12t) represent hey can yall please help me its 4'1 minuse 1'10 PLEASE HELP WHATS THE VOLUME Gerritt wants to buy a car that costs $28,250. The interest rate on his loan is 5.45 percent compounded monthly and the loan is for 5 years. What are his monthly payments Aaron is considering two health insurance plans. The Get Well Soon Company charges an annual fee of 100 plus 10 per doctor visit, given y=100+10x. The Mega Coverage Company charges $35 per doctor, with no annual fee, represented by the equation: y=35x. Which insurance company has the LOWER rate and what is the rate? Conoces alguna forma de organizacin, comida, indumentaria, herramientas, lengua u oficios del lugar donde vives que sean de origen Virreinal? An item is regularly priced at $31 . It is on sale for 65% off the regular price. Is the point (1,3) inside, outside the circle THEME: What is the impact of technology on architecture?Directions:1. You have one week (from 5/26/21) to submit an outline of your topicapproval.2. It is recommended that you use the American Psychological Association (APA) format.3. You are to write a 2 page paper; typewritten and double spaced.4. WORK CITED PAGE WILL NOT BE ACCEPTED ASA PAGE OF YOUR REPORT5. Your paper is due on WEDNESDAY, June 2,20216. Late submissions will not be accepted.If you have any questions, please speak with Mr. Ferguson.How do you format an APA paper?General guidelines:1. Use 8 x 11 paper.2. Make 1-inch margins on the top, bottom, and sides.3. The first word in every paragraph should be indented one-half inch.4. Use Times New Roman font, size 12.5. Double-space the entire paper.6. Include a page header known as the running head at the top of every page. Which of the methods of generating electricity shown below does NOT use alternative energy resources? Determine the largest integer value of x in the solution of the followinginequality.3x 7 < -2 8n + -3n = (8 + -3)n is an example of what property? Love possesses not nor would it be possessed; And think not you can direct the course of love, for love, if it finds you worthy, directs your course. What inference can you make from the comparison of lines two and five? A) Love will ensure that God is in your heart. B) Love is a valued possession for those worthy of love. C) You will be the guide if your life is filled with love. D) With love, you are not in charge; you cannot own or lead it. Click on the area of the square? Calculate the number of hydrogen atoms present in 40g of urea, (NH2)2CO If you help ill give you some of my banana milk... pls help asap pls help