describe how to use the
Equality of Bases Property to solve an equation
with an exponent

Answers

Answer 1

Answer:

Step-by-step explanation:

To solve exponential equations with same base, use the property of equality of exponential functions . If b is a positive number other than 1 , then bx=by if and only if x=y . In other words, if the bases are the same, then the exponents must be equal.


Related Questions

solve the equation

f(n)=10⋅2n for n = -2

Answers

Answer:

f(n)= -40.

Step-by-step explanation:

Question 8
1 pts
Jerome went apple picking with his family. In his bag he had four Granny Smith
apples, two Honeycrisp apples, three Gala apples, and one Fuji apple. What is
the probability that he will pick a Honeycrisp apple out of his bag, eat it, and
then choose another Honeycrisp apple? Write your answer as a simplified
fraction.

Answers

Answer:

Total apples=10

no.of honeycrisp Apple=2

1). Probability-2/10. =1/5

now total apples left=9

tolyal honey crisp apples left=1

2) probability=1/9

The Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.

The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.

What is probability?

Probability is "possibility that deals with occurrence random events".

According to the question,

Total number of apples = 10 apples

Total number of Honeycrisp apples = 2 apples

Formula for probability = [tex]\frac{Number of favorable events}{Total number of events}[/tex]

Probability that Jerome pick a Honeycrisp apple out of his bag = [tex]\frac{2}{10}[/tex] = [tex]\frac{1}{5}[/tex].

After taking one honey crisp apple remaining one left so subtracting one from total number of apples.

10 - 1 = 9

Probability that Jerome pick to choose another Honeycrisp apple out of his bag = 1/9.

Hence, the Probability that Jerome pick a Honeycrisp apple out of his bag is 1/5.

The Probability the Jerome pick to choose another Honeycrisp apple out of his bag is 1/9.

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Choose the correct name for the polygon.


VRUST


SRVUT


SRTUV


RSVUT

Answers

SRVUT is the correct one im pretty sure

The name of polygon is SRVUT.

What is Polygon?

In geometry, a polygon is any closed curve made up of a collection of continuous line segments (sides) without any intersections. Triangles (three sides), quadrilaterals (four sides), and pentagons are the three simplest polygons (five sides).

Given:

Usually while naming the polygon we have to focus on the letter to which each vertex is allotted.

and, the name of any geometrical shape should be in a flow, it should be like which letter come after the previous in clockwise or anticlockwise order.

Here, the polygon will have name:

VRSTU

RSTUV

STUVR

TUVRS

UTVRS

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A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimeters of chocolate milk can it hold?

WITH SOLUTION PLEASE​

Answers

Hello there I hope you are having an great day :) A chocolate milk container in the form of a rectangular prism is 5 cm long, 3 cm wide, and 9 cm high. How many cubic centimetres of chocolate milk can it hold?

V = L x W x H

Volume = length x Width x Height.

V = (5cm) (3cm (9cm)

V = 135cm^3

Therefore, the chocolate milk container can hold 135 cubic centimetres. Hopefully that helps you :)

What is the fractional equivalent of the repeating decimal n=0.2727…?

Answers

Answer: 3/11 would be the answer

Magdeline wants to know if the number of words on a page in her art book is generally more than the number of words on a page in her science book. She takes a random sample of 25 pages in each book and then calculates the mean, median, and mean absolute deviation for the 25 samples of each book.


Book Mean Median Mean Absolute Deviation
Art 68.7 50 15.4
Science 54.2 55 7.9


She claims that because the mean number of words on each page in the art book is greater than the mean number of words on each page in the science book, the art book has more words per page. Based on the data, is this a valid inference?

Answers

Answer:

Yes

Step-by-step explanation:

Because the mean is the total of all the words divided by the number of pages, so if the mean is higher, that means that there are more pages on average in the art book than the science book.

Answer:

no

Explanation:

there is a lot of variability in the art book data

Find the area of an 11-gon with side length 5 inches.

Answers

Answer:

234.141

Step-by-step explanation:

The formula is [tex]\frac{11}{4} *(s)^2*cot(\frac{\pi }{11})[/tex]. If you substitute 5 in, you get [tex]\frac{275}{4} *cot(\pi /11)[/tex] or 234.141

30 ft.
6 ft.
4 ft.
20 ft.
?
25 ft.
PLEASE HELP QUICK

Answers

Answer:

5 ft

Step-by-step explanation:

30/6 = 5

20/4 = 5

25/x = 5

25/5 = 5

x = 5

Answer:

5 feet

Step-by-step explanation:

the triangles are scaled by the factor of 5

PLEASE HELPS ASAP!! ILL GIVE BRAINLIEST AND A THANKS!!

What is the area of a circle with a radius of 3/8 meters?

Answers

Answer:

3/8^2 = 9/64

9/64 x 3.14 = 0.4415625 rounded = 0.44

Formula area of a circle:

pi(3.14 or 22/7 or any other number depending what they tell you to use for pi) x radius(half of your diameter or given radius)^2(squared, to the power of 2)

pi x radius being squared

please hellp meeee :D

Answers

a) 20 ft

b) 32 mm

Step-by-step explanation:

a) The legs of the smaller triangle are 6-6-3. The larger triangle is 1/3 larger than the other triangle so the lengths of the legs are 8-8-4 so the perimeter is 20 ft.

b) Since one side of the larger square is 8 mm, this means that the perimeter is 4×8mm = 32 mm.

Answer:

i dont know what the answerris

Step-by-step explanation:

Polynomial is a combination of O constants O variables O exponents O all of the choices

Answers

Answer:

It would be all of the above.

Step-by-step explanation:

An example of a polynomial is:

2x^3 - 4x^2 +1x -8

Note how there are exponents, such as ^3 for example. There is also a variable, in this case x. Lastly, there are constants, which are numbers by themselves.

A school has 500 students. 340 are boys
a student is chosen at random. find the probability that student is a girl​

Answers

Answer:

p = 8/25

Step-by-step explanation:

500 - 340 = 160 girls

p = 160/500

p = 8/25

Round 27346 to 2 significant figures i need a step by step expansion

Answers

Answer:

27000

Step-by-step explanation:

We want to round 27346 to 2 significant figures.

Now, the number already has 5 significant figures, so to reduce it to 2 sig figures, we will have to reduce the 3 digits from the right to zero so that we can have just 2 significant figures by approximating.

Thus, 3 is less than 5 and so 7 cannot increase. Thus, we will have 27000 as the number when reduced to 2 significant figures.

Suppose you have a bag containing 2 black marbles and 3 red marbles. You reach into the bag, select a marble, see what color it is and replace it in the bag. Then you repeat this process. What is the probability of first selecting a black marble, replacing it and then selecting a red marble?

Answers

(3/5)(2/5)=6/25
.............................

1.Show that the points (5,5),(6,4),(-2,4) and (7,1) are concyclic .Also find the equation ,centre and radius of the circle on which they lie.​

Answers

Answer:

See below

Step-by-step explanation:

This is how I solved it.

Plotted the given points. See the attached.

Identified two pairs to connect, the two chords.

(5. 5) with (7, 1) and (6,4) with (-2, 4).

Determined the equation of both lines:

y -5 = [( 1 - 5)/(7-5)](x - 5) ⇒  y - 5 = -2(x - 5)y = -2x + 15

and

y = 4 (horizontal line)

Identified perpendicular bisectors of those two chords, they both pass through the center of circle.

Midpoints of the chords:

[(5 + 7)/2, (5 + 1)/2] = (6, 3)

and

(6 - 2)/ 2 = 2

The equations:

y - 3 = 1/2(x - 6) ⇒ y = 1/2x x = 2 (perpendicular to y = 4 and passing through x = 2)

Solving the system found the intersecting of those, the center.

Found the center:

(2, 1)

Found the distance from the center to one of the points (7, 1):

7 - 2 = 5, this is the radius

The equation of circle:

(x - 2)² + (y - 1)² = 25

Verified all the other points are on same circle, confirmed.

Find the area of the composite figure

Answers

Answer:

area of semicircle=76.969 inches

triangle is=10 in so 20 since there is 2 triangles made

rectangle=140 in

236.969 inches is the total

hope this helps

have a good day :)

Step-by-step explanation:

Help me PLEASEEEEEEEEEEEEE

Answers

Answer:

Option A:[tex] \frac{4}{5} \: gallon \: per \: week[/tex]

Step-by-step explanation:

Given,

Gallon of juice drank in 5 weeks = 4

Therefore,

Gallon of juice drank in 1 week

[tex] = \frac{4}{5} (ans)[/tex]

Can someone please help me?

Answers

Answer:

yes i can

Step-by-step explanation:

Answer:

(2,7)

Step-by-step explanation:

Please I need this ASAP

Answers

Answer:

Step-by-step explanation:

Always work from the inside out. That means we will deal with the parenthesis first: (4 - 1)

That gives us

2[32 - (3)³]. Next deal with the exponents. That gives us

2[32 - 27]. Next, the last set of parenthesis, which are actually brackets:

2[5] which then, finally, becomes 10

Order of operations...PEMDAS

SOMEONE PLEASE HELP!

Answers

I dont know Im sorry

Step-by-step explanation:

I just want points in not that smart

the concavity of a function is described by its

expression
1st derivative
2nd derivative
3rd derivative

Answers

The concavity of a function is described by its second derivative.

-The expression will not directly tell us whether the function is concave up or concave down and where it changes, though graphing the function may give us some sort of idea.

-The first derivative tells us the critical/important values (where there could be asymptotes), as well as where the function is increasing/decreasing.

-The second derivative tells us again the critical/important values, but also where the function is concave up/down. We find concavity in the same way we find increasing/decreasing using the first derivative.

-The third derivative, at least in my experience, has only been used to find acceleration of a function.

Hope this helps!! :)

The concavity of a function is described by its 2nd derivative

The concavity of a function is dependent on the rate of change of a function's derivative

Assume the derivative of a function is f'(x), so the second derivative would be represented as: f"(x)

When f"(x) > 0, then the function is concave downward.

However, if f"(x) < 0, then the function is concave upward.

Hence, the concavity of a function is described by its 2nd derivative

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one clothing truck visits avas place every 3 days and another clothing truck visits noahs place every 5 days if both clothing trucks visited today when is the next time both trucks visit on the same day

Answers

Answer:

15 days

Step-by-step explanation:

Given

[tex]Truck\ 1: 3\ days[/tex]

[tex]Truck\ 2: 5\ days[/tex]

Required

Next time they both visit

First, list out days of visitation of each truck

[tex]Truck\ 1: 3, 6, 9, 12, 15, 18, 21\ days.....[/tex]

[tex]Truck\ 2: 5, 10, 15, 20, 25, \ days.....[/tex]

Write out the common days;

[tex]Day = 15[/tex]

The next time they both visit is the after 15 days

Define the variables and translate the following statements into
algebraic inequalities.
"You buy hamburgers at a fast food restaurant. A
hamburger costs $0.49. You have at most $3 to spend.
Write an inequality for the number of hamburgers (6) you
can buy."
The variable should be on the left side of the inequality.
Etion
Check

Answers

nikal bhosdike gaand mara

What is the range of the data set 1 2 3 4 5 6 7

Answers

Answer:

6

Step-by-step explanation:

Range = Highest number  - Smallest number

From the data

Highest number = 7

Lowest number= 1

Range  = 7 - 1

RAnge  = 6

Hence the range of the dataset is 6

The College Board originally scaled SAT scores so that the scores for each section were approximately normally distributed with a mean of 500 and a standard deviation of 100. Assuming scores follow a bell-shaped distribution, use the empirical rule to find the percentage of students who scored greater than 700.
a. 95%.b. 2.5%.c. 5%.d. 97.5%.

Answers

Using the Empirical Rule, the percentage of students who scored greater than 700 is:

b. 2.5%

What does the Empirical Rule state?

It states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of  the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.

700 is two standard deviations above the mean. 5% of the measures are more than two standard deviations of the mean. Since the normal distribution is symmetric, 2.5% of these measures are below 300 and 2.5% are above 700, hence option B is correct.

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ASAP A student population in a school was 972. Next year they are projected to have a 25% increase in student population. How many students will they have next year?

Answers

Answer:

3888

Step-by-step explanation:

Answer:

25% of 972= 243

243+972=1215 students

PLEASE HELP!! IM BEGGING !!

Answers

Answer:

0

Step-by-step explanation:

P(starts with M wins presidency) = required outcome / Total possible outcomes

Number of names which starts with M = 1

Total number of names = 5

P(starts with M wins presidency) = 1/ 5

For vice presidency :

Number of names which starts with M = 0

Total number of names = 4

P(starts with M wins vice presidency) = 0/4

P(name which starts with M wins presidency and vice presidency) = 1/5 * 0/4 = 0

Geometric mean between 2 and 24

Answers

answer:

6.9282

step by step:

=( 2 x 24 )1/2
= ( 48 )0.5
= 6.9282


Determine the mode of the following data set:
-- 3, 12, 5, 12, 11, 2, 3, 10, 7, 6, 1, 4
a. 12
b. 3 and 12
c. no mode
d. 5

Answers

Step-by-step explanation:

3 AND 12 MAY BE

HOPE IT HELP U ...

The graph below shows Ariana's pay as a painter. How much does Ariana charge per painting?

Answers

there is no picture of the graph
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