Sat question solve

2^x=x^2

Answers

Answer 1

The logarithm function can be used to convert large problem of multiplication and division into simple addition or subtraction. The value of x for the given equation is 2.

What is Logarithm?

Logarithm function is defined as the inverse of the exponential function.

If a^(b) = c, then b = log(c) at the base of a.

The given equation is as below,

2^x=x^2

Take logarithm both sides,

x log(2) = 2 log(x)

=> x / log(x) = 2 / log(2)

Compare the denominator and numerator at both sides of the equation to get,

x = 2.

Hence the solution of the given equation is x = 2.

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Related Questions

Membership at a private arcade club costs a one-time initiation fee of $50 plus $10
per month.
Part A: Write a function expressing the total amount of money spent on membership
as a function of the number of months.
Part B: Identify the independent variable and the dependent variable in this
situation.
Part C: How much total money has been spent on membership after 12 months?

Answers

Answer:

600 is the answer to the question

find the value of y when x=11. y--6x +5

Answers

Answer: 71

Step-by-step explanation:

First, plug 11 in for x:  y=6(11)+5

Then, multiply 6 by 11:  6(11)=66

Finally, add 5:  66+5=71

Wilma goes to a college that is 106 miles away. Wilma drives a Honda Civic and gets 35 mpg. If Wilma plans on making 8 round trips to and from her college this year, how much will she spend on gas over the course of the year? (Assume that gas remains constant at $3.59/gal).

Answers

Answer: $173.96

Step-by-step explanation: If I'm not mistaken first you have to take 106 and multiply it by 2 to count for the round trips so that makes 212 miles for one trip, then you have to multiple by 8 to figure out how many miles in total which equals  1696, then you divide by the 35 to figure out how many gallons she use, which is 48.457(rounded) then you multiple that by the rate of gas which is 3.59 which means she spent 173.96(rounded to the nearest tenth)

Plsssssssss helpppppppppppp

Answers

25$ a week because you are paying back that amount until you owe 0$

4. Which one of these is not a type of triangle?
a. Equilateral
b. Scalene
c. Isosceles
d. None of these.

Answers

Answer: D.

Step-by-step explanation:

Equilateral, scalene, and isosceles are all valid types of triangles.

Answer: None of these.


Explanation: Equilateral, scalene, and isosceles are all types of triangles

The sum of 8 times a number and 2 equals 6. translate the sentence into an equation

Answers

Answer: (8x + 2) = 6

Step-by-step explanation:

Answer:

8(x) + 2 = 6

Step-by-step explanation:

An investment of $400 is compounded monthly at an interest rate of 7.6%. What will the
balance be in eight years? Round to the nearest hundredth.

Answers

Answer:

See below

Step-by-step explanation:

Present Value = 400

Period = 1 month      8 years is    n =   96 periods

Interest per period in decimal form     i =  .076 / 12 = .0063333

Fv = PV ( 1 + i)^n  

Fv = 400 ( 1 + .076/12)^96 = 733.29 dollars

4 1/3x + 16 = 2 2/3x + 21

Answers

2.94 would equal the variable of x

State the domain and range for the following relation. Then determine whether the relation represents a function. {(-9,3),(-8,3),(-7,3),(-6,3)

Answers

The domain of relation  {-9, -8, -7, -6} and range of relation is  {3} and the relation represents a function.

A function is defined as a relation between a set of input having only one output.

Now,

The relation is;

{(-9,3),(-8,3),(-7,3),(-6,3)

Hence, The domain of relation = {-9, -8, -7, -6}

And, Range of relation = {3}

Clearly, Each input (domain) has only one output (range)

Hence, The given relation is function.

The domain of relation  {-9, -8, -7, -6} and range of relation is  {3} and the relation represents a function.

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Is this graph a function?
ANSWERS:
This is a function.
This cannot be determined from this graph.
This is not a function.

Answers

(C) This is not a function.

The equation x = 3 represents a vertical line and not a mapping from values of x to values of y.

Hence, its a equation not a function.

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Foster recently went on a weekend hiking trip and recorded the elevation changes at several checkpoints. Fosters elevation log can be seen in the table below. If the next checkpoint has a change in final elevation of 148.3 what is the change in elevation

Answers

4. The greatest change in elevation is on Checkpoint 4.

5. The change in elevation on the final checkpoint is of: -62.1 feet.

How to obtain the change in elevation for each checkpoint?

The change in elevation for each checkpoint is given by the subtraction of the final elevation by the initial elevation. Both these elevations are given on the table.

Hence, for each checkpoint, the changes are given as follows:

Checkpoint 1: -78 - (-125.4) = 47.4 feet.Checkpoint 2: -101.6 - (-78) = -23.6 feet.Checkpoint 3: 14.7 - (-101.6) = 116.3 feetCheckpoint 4: 225.1 - 14.7 = 210.4 feet

Hence the greatest change is of 210.4 feet on checkpoint 4.

The final elevation is of 148.3 feet, hence the change in elevation on the final stage is obtained as follows:

148.3 - 210.4 = -62.1 feet.

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help me out thanks so much

Answers

Answer:

D: 1+2x6

Step-by-step explanation:

5+2^3

5+8

13

1+2x6

1+12

13

D is the only option equal to 13

Hopes this helps please mark brainliest

A certain loan program offers an interest rate of 4.5%, compounded continuously. Assuming no payments are made, how much would be owed after two years on a loan of $3100?
Do not round any intermediate computations, and round your answer to the nearest cent.

Answers

The amount of loan after 2 years will be $6491.4.

What is Simple interest?

A quick and easy method of calculating the interest charge on a loan is called a Simple interest.

Given that;

Interest rate = 4.5%, compounded continuously.

Time = 2 years

Initial value = $3100

Now,

We know that;

The formula for amount after continuous compound interest is,

⇒ [tex]A = P e^r^t[/tex]

Where,  P is principal, r is rate per year, t is time in year.

Substitute all the values, we get;

⇒ [tex]A = P e^r^t[/tex]

⇒ [tex]A = 3100 e^{0.045 * 2}[/tex]

⇒ [tex]A = 3100 e^{0.09[/tex]

⇒ [tex]A = 3100 * 1.094[/tex]

⇒ [tex]A = 6491.4[/tex]

Thus, The amount of loan after 2 years will be $6491.4.

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A company receives medicine in 1-gallon (128-ounce) jars and then sells the medicine in vials that hold 3 ounces. What fraction of another vial could be filled with the leftover medicine? How do you know?

Answers

The fraction of another vial could be filled with the leftover medicine is 125 / 128.

What is a fraction?

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, the company receives medicine in 1-gallon (128-ounce) jars and then sells the medicine in vials that hold 3 ounces

The fraction left will be:

= 1 - Amount filled

= 1 - 3/128

= 125 / 128

The fraction left is 125 / 128.

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Please help it’s due today!!!

Answers

Answer:

(a.):  m∠ ACB = 40°; (b.):  m ∠CBA = 25°; (c.):  m ∠CAB = 115°

Step-by-step explanation:

Because Lines AB and DE are parallel, we can use the angle relationships to find the angles.

(For context of the problem, we can label the 40° angle as ∠C and the 155° as ∠B)

(a.) Angles C and ACB are vertical angles, which means they're congruent.  Thus m ∠ACB = 40°.

(b.) AB is a straight line and angles B and CBA are supplementary angles.  This means their total sum is 180°.  We need to subtract angle B from 180 to find m ∠CBA:

[tex]180-155=CBA\\25=CBA[/tex]

(c.) We know that the sum of all the angles is 180°.  Thus, we can subtract the sum of angles CBA and CBA from 180 to find the m ∠CAB:

[tex]180-(40+25)=CAB\\180-65=CAB\\115=CAB[/tex]

what is equation, slope and y intercept for this graph please? need asap please ​

Answers

Answer:

Equation: y = -4x + 1

Slope: -4

Y-intercept: y = 1

Step-by-step explanation:

To find the equation of the line you need the gradient and the y-intercept

To find the gradient we need to divide the change in y by the change in x:

4 ÷ 1 = 4

As the graph has a negative correlation the gradient would have a minus which is why it would be -4!

To find the y-intercept we need to find the number on the y-axis that the line crosses which in this case would be y = 1!!

Hope this helps, have a great day!!

Answer:

equation:y=4x+1

y-intercept:1

slope:4/1 or 4

Step-by-step explanation

the equation has to be in slope intercept form which is [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept. the y-intercept is when x is 0 in this case when x is 0 y is 1 (0,1) so the y-intercept is 1. the slope is rise/run so pick two points that cross the grid perfectly and count the units rise and run. this line rises 4 and runs 1 so the slope is 4/1 so 4 hence the equation [tex]y=4x+1[/tex]

HELP ASAP!! 50 PNTS THANKS

Answers

Answer: 1st and 2nd

Step-by-step explanation:

Ill mark brainliest just answer right

Answers

Answer:

90

Step-by-step explanation:

14/20 = 0.7

28/40 = 0.7

63/90 = 0.7

Hope this helps.

Answer:

Step-by-step explanation:

The answer is D. 90 because the other numbers

14/20=.7

28/40=.7

63/90=.7

therefore, it would be 90.

A fruit basket contains 3 apples, 1 orange, 3 grapefruits, and 2 bananas. How many
pieces of fruit are in the basket?
O 10
09
08
07

Answers

there’s 9 pieces of fruit in the basket,

3+3+1+2=9

because:

3+3=6

6+2=8

8+1=9

What is the answer to this question?

Find the value of X in the diagram.

Answers

The value of x is 10, in the diagram, Vertically opposed angles

What is Vertically opposed angles?

Two lines intersecting at a point create vertical angles. Every time they are on an equal footing. Alternatively stated, four angles are created anytime two lines cross or intersect. Two opposed angles are equal and are referred to as vertical angles, as we can see. Due to their position opposite one another, they are also known as "Vertically opposed angles."

Angles that are vertically opposed to one another at a certain vertex are formed by two straight lines intersecting. The equality of the vertically opposed angles has been established.

Here in the diagram 5x = 2y

y = 5X/2

We have 2y+2y+8x = 180 in a straight line.

So 4y+8x = 180

4(5x/2) +8x = 180

10x+8x = 180

x = 180/18

x = 10

Hence, the value of x is 10, in the diagram.

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What is the y-intercept of the linear equation x minus one-half y = negative 6? –6 –3 0 12

Answers

Answer:

The y-intercept is 12

Step-by-step explanation:

the equation is: x - 1/2y = -6

We need to find the y-intercept which is the y value when x=0.

Knowing that, we can just substitute 0 for x to get:

0 - 1/2y = -6

From there, it's just algebra so:

0 - 1/2y = -6

-1/2y = -6

-0.5y = -6

y = 12

Recall that whenever suzan sees a bag of marbles, she grabs a handful at random. She has seen a bag containing 4 red, 3 green, 2 white, and 1 purple. She grabs five of them, Find the probability of having at least one white one.

Answers

The probability of having at least one white marble, using the hypergeometric distribution, is of:

0.7778 = 77.78%.

What is the hypergeometric distribution formula?

The mass probability formula is presented as follows:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are listed as follows:

x is the number of successes.N is the size of the population.n is the size of the sample.k is the total number of desired outcomes.

In this problem, the values of these parameters are listed as follows:

N = 4 + 3 + 2 + 1 = 10.k = 2, as there are 2 white balls.n = 5, as five balls will be taken.

The probability of having at least one white one is:

P(X > 0) = 1 - P(X = 0).

In which:

[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}[/tex]

[tex]P(X = 0) = h(0,10,5,2) = \frac{C_{2,0}C_{8,5}}{C_{10,5}} = 0.2222[/tex]

Then:

P(X > 0) = 1 - 0.2222 = 0.7778 = 77.78%.

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Which correctly identifies ways that earthquakes and tsunamis can cause destruction? (1 point)
earthquakes: erosion of beaches
tsunamis: move blocks of land up or down
earthquakes: open up large cracks in Earth's crust
tsunamis: erosion of beaches
earthquakes: landslides
tsunamis: move blocks of land up or down
earthquakes: landslides
tsunamis: open up large cracks in Earth's crust

Answers

The answer is earthquakes: open up large cracks in Earth’s crust tsunamis: erosion of beaches.

What is tsunamis?

Giant waves that are brought on by ocean floor movement are known as tsunamis. Landslides, underwater volcanic eruptions, earthquakes, and even meteorite collisions can cause the ocean floor to tremble. These are often referred to as seismic sea waves, albeit they are sometimes misidentified as tidal waves. A tsunami is a set of waves that are caused by a disturbance in the ocean or another body of water, such as an earthquake, landslide, volcanic eruption, or meteorite strike.

The water above shifts up or down as a result of undersea earthquakes, which often take place along tectonic plate borders. Earth’s crust tsunamis: erosion of beaches.

Hence, earthquakes: open up large cracks in the Earth’s crust tsunamis: and erosion of beaches.

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A fraction can easily be written as a percent when the denominator is _________________.
Group of answer choices

100

50

10

20

Answers

Answer:

100

Step-by-step explanation:

Example       33/ 100 = 33%          28/ 100= 28 %      etc

blake is ordering 6 bags of cat food. Each bag has a mass of 7.5. to know shipping costs. blake needs to know the total of weight in lbs. what is the weight of cat food in lbs?

Answers

The total weight is 45 lbs, you find it by multiplying 6 by 7.5.

Mr. Baker leaves the check-in counter at the airport and walks to a moving sidewalk, which takes him to his gate. Mr. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for s seconds, is described by the function d = 2s + 20.
Which statement is true?

A. Mr. Baker is 2 meters from the check-in counter after 22 seconds.
B. Mr. Baker is 20 meters from the check-in counter 24 seconds.
C. Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk.
D. Mr. Baker moves 20 meters per second while standing on the moving sidewalk, and he walked 2 meters to get to the moving sidewalk.

Answers

Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk. which is the correct answer would be an option (C).

What is the distance?

Distance is defined as the product of speed and time.

The function shows Mr. Baker's distance (d), in meters, from the check-in counter while he has been standing on the moving sidewalk for s seconds. d = 2s + 20.

Here He travels at a speed of two meters per second while standing on the moving sidewalk, and he walked 20 meters to get there.

Thus, Mr. Baker moves 2 meters per second while standing on the moving sidewalk, and he walked 20 meters to get to the moving sidewalk.

Hence, the correct answer would be option (C).

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dembow needs to hire a mechanic to fix his car. Mechanic G charges $30 per hour of work while mechanic k charges $20 per hour of work plus a $30 reservation fee. Write equations for mechanic G and mechanic k where y is the cost in dollars and x is the hours of work.

Answers

The equations for Mechanic G is y = 30x and for mechanic K is y = 20x + 30

What is rate?

Rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate.

for mechanic G since he charges 30 dollars per hour, for x hours his charge will be 30x

so that y = 30x

For K since he charges at rate of 20 dollars per hour, his charge after x hours will be 20x. if he takes 30 dollars reservation fee

then his total cost is y = 20x + 30

In conclusion, the equations for mechanic G and K are y = 30x and y = 20x + 30 respectively.

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Please help! Thank you so much!

Answers

Answer:

x=14

Step-by-step explanation:

When 14 is subtracted from the square of a number, the result is 5 times the number. Find the positive solution.

Answers

The positive solution for the given equation is 7 .

In the question ,

it is given that ,

when a number 14 is subtracted from the square of number ,

then the result is 5 times the number .

let that number be "x" .

So , the equation representing the amount statement is

x² - 14 = 5x

x² - 5x - 14 = 0

By using splitting the middle term method to find the solution.

we get ,

x² - 7x [tex]+[/tex] 2x - 14 [tex]=[/tex] 0

taking x common ,

x(x - 7) + 2(x - 7) = 0

(x + 2)(x - 7) = 0

we get , x + 2 = 0        and x - 7 = 0

the solution as x = -2     and x = 7 ,

Therefore , The positive solution for the given equation is 7 .

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Answer:7

Step-by-step explanation:

Which rule explains why these triangles are
congruent?
U
T
V
W
AAS
ASA
SAS
SSS
These triangles
cannot be proven
congruent.

Answers

These triangles can be proven congruent by using ASA RULE.

What is congruent triangles and its rules ?

When two triangles are congruent, their three sides and their three angles match precisely.

If there is a turn or a flip, the equal sides and angles might not be in the same place, but they are still present.

ASA rule stands for Angle-Side-Angle rule which means two angles and a side of both triangles are equal.

Main Body:

In ΔTUV and ΔTWV

VT =VT                 ----(1)

∠VTU=∠TVW      -----(2)

As TUVW is a parallelogram

so, ∠T = ∠U

hence, ∠TVU =∠VTW    ----(3)

taking equation 1, 2,3

therefore, ΔTUV ≅ ΔTWV by ASA rule which means by Angle- Side- Angle rule.

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