An exponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Answers

Answer 1

Answer:xponential function has an initial value of 500 and a decay rate of 15%. Compare the average rate of change for the interval 0

Step-by-step explanation:


Related Questions

(1,-5) is on the graph of f(x), find the corresponding point for the function f(x)-1

Answers

Answer:

(5,-1)

Step-by-step explanation:

rotate the point

A coin is biased to display heads 75% of the time. it is tossed 20 times, and the outcomes are recorded. the most improbable simulation for this coin is heads.

Answers

A percentage is a way to describe a part of a whole.  The most improbable simulation for this coin is heads are 9.

What are Percentages?

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

The most improbable simulation for this coin for heads is the frequency of heads coming up out of 20 which is far from the estimated frequency. Since out of these 20 times 75% of the times the head will come up. Therefore, the number of times the head will come up can be written as,

[tex]75\%\ of\ 20\\\\= \dfrac{75}{100} \times 20\\\\= 15[/tex]

Now it is estimated that at least 15 times out of 20, the head will come up. Thus, the most improbable simulation for this coin is heads are 9.

Learn more about Percentages:

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Answer:

A coin is biased to display heads 75% of the time. It is tossed 20 times, and the outcomes are recorded. The most improbable simulation for this coin is

9 heads.

Step-by-step explanation:

what is 0.24x2.412 step by step

Answers

Answer:

0.57888

Step-by-step explanation:

0.24

2.412

----------

0.57888

Hope I helped

Please help!! Will mark brainlyest.

Answers

-4,0 …. jdjgblwockr w i need 20 words jfjejckrkwnskf

If secθ = -6.743, find the two values of θ
between 0° and 360°. Round your answers to one
decimal place.

Answers

Answer:

Θ ≈ 98.5° , 261.5°

Step-by-step explanation:

using the identity

cosΘ = [tex]\frac{1}{sec0}[/tex] , then

cosΘ = [tex]\frac{1}{-6.743}[/tex] ≈ - 0.1483

since cosΘ < 0 then Θ is in 2nd and 3rd quadrants

Θ = [tex]cos^{-1}[/tex] (- 0.1483) ≈ 98.5° ← in 2nd quadrant

related acute angle = 180° - 98.5° = 81.5° , then

Θ = 180° + 81.5° = 261.5° ← in 3rd quadrant

A system of equations has no solution. if y = 8x 7 is one of the equations, which could be the other equation? 2y = 16x 14 y = 8x – 7 y = –8x 7 2y = −16x − 14

Answers

A system of equations has no solution. if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

What is the system of two equations?

A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.

The first equation is given as:

y = 8x + 7

The equations in the system would have different constant values if the system of equations had no solution.

y=8x+b

Where:

b is a variable that is not equal to 7.

The equation whose standard form is y=ax+b has no solution. Only equation 2 satisfies the generalized form.

Hence.if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.

To learn more about the system of two equations refer to the link;

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Answer:

B

Step-by-step explanation:

A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?

2y = 16x +14  

y = 8x – 7

y = –8x + 7

2y = −16x − 14

What are the missing measures for E and J???

Are the triangles similar? Yes or no?

Answers

Answer:

No

Step-by-step explanation:

To tell whether two triangles are similar or not, we can compare their side lengths or angle measures

in this case, only angle measure are given so will compare those:

m<F = m<I but this is not enough, we need to compare other angles as well

m<H is not equal to m<G

The sum of interior angles in a triangle is equal to 180

so the measure of angle J

100+55+J = 180

J = 25

The measure of angle E

100+35+E = 180

E = 45

Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.

daniel is going to melt some wax and pour it into a mold shaped like the cone shown below

which is the closest volume to the cone

A.75in^3
B.226in^3
C.151in^3
D.301in^3

Answers

Answer:

A. 75 in³

Step-by-step explanation:

[tex]volume = \frac{1}{3} \times \pi \: {r}^{2} \: h = \frac{1}{3} \times \pi \times { 3}^{2} \times 8 = 75.4[/tex]

using the completing square method, what are the zeros of the quadratic function f(x) = 2x2 -3?

Answers

[tex]~~~~~2x^2 -3 =0\\\\\implies 2x^2 = 3\\\\\implies x^2 =\dfrac 32\\\\\implies x = \pm\sqrt{\dfrac 32 }[/tex]

Tanvi received a large box of chocolates for Valentine's Day, and about 30% of the chocolates have a
caramel filling. Tanvi took out 2 to eat for dessert. How likely is it that at least 1 has a caramel filling?
Tanvi simulates the situation by creating a spinner with 3 white sections and 7 red sections. She spins
the spinner 2 times. Each time the spinner lands on a white section, it represents a chocolate with a
caramel filling. Tanvi records the results by writing "W" when it lands on a white section and "R" when it lands on a red
section. Here are the results of 20 trials:
RR RR RR RW RR
WR
RR
WR
RR
RW
RR
WR RR
RW RR
RW
I RW RR RR
WR
Based on Tanvi's results, what is the probability that at least 1 of the chocolates has a caramel filling?

Answers

Answer:

45%

Step-by-step explanation:

In Tanvi's simulation, landing on a white section represents a chocolate with a caramel filling. Tanvi records 20 trials, and the spinner lands on at least 1 white section in 9 of them. So, the probability that at least 1 of the chocolates has a caramel filling is

9

20

Convert

9

20

to a percent. Write an equivalent fraction with 100 as the denominator.

9

20

=

95

205

=

45

100

Based on Tanvi's results, the probability that at least 1 of the chocolates has a caramel filling is 45%.

Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and Alexandra has $700 more than Stephanie. How much money does Stephanie have?

Answers

Answer:

Stephanie has more than $900

Step-by-step explanation:

Represent the unknowns:  a for Alexandra and s for Stephanie.

Then a + s > $2,500, and a = s + $700.

Substituting the latter into the former equation, we get:

(s + $700) + s > $2,500, or

2s > $1800

Then s > $900; Stephanie has more than $900.

help me out and please provide steps

Answers

Answer:

  3(x+2)/(2(x+4))

Step-by-step explanation:

A compound fraction is simplified by rewriting it as a simple fraction, and reducing it to lowest terms by cancelling common factors from numerator and denominator. The division of one fraction by another is accomplished in the usual way: multiply the numerator by the inverse of the denominator.

__

  [tex]\dfrac{\left(\dfrac{6x^2-24}{x^2+7x+12}\right)}{\left(\dfrac{4x^2-4x-8}{x^2+4x+3}\right)}=\left(\dfrac{6x^2-24}{x^2+7x+12}\right)\times\left(\dfrac{x^2+4x+3}{4x^2-4x-8}\right)\\\\=\dfrac{6(x-2)(x+2)}{(x+3)(x+4)}\times\dfrac{(x+1)(x+3)}{4(x-2)(x+1)}=\dfrac{3(x-2)(x+1)(x+2)(x+3)}{2(x-2)(x+1)(x+3)(x+4)}\\\\=\boxed{\dfrac{3(x+2)}{2(x+4)}}[/tex]

The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2

Answers

The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

What is range of function?

Range of a function is the set of all the possible output values which are valid for that function.

The function whose range is (2, ∞) has to be find out.

The first function given in the problem is,

[tex]y=2^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The second function given in the problem is,

[tex]y=2(5)^x[/tex]

This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.

The fourth function given in the problem is,

[tex]y=(5)^x+2[/tex]

This function is translated 5 units up to the function 5ˣ which has the range (0,∞).

Thus, the range of this function is (2, ∞).

Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.

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Answer:

D ) y = 5^x + 2

Step-by-step explanation:

Here ya go ladies and gentlemen

Someone, please help me! I will give Brainliest!

Identify the key features of the parabola, 8(y + 4) = (x + 1)2:

Axis of Symmetry:

Vertex:

Focus:

Directrix:

Answers

Answer:

Step-by-step explanation:

8(y+4)=2(x+1)

divide by 8    y+4=1/4x+1/4   subtract 4    y=1/4x - 3 3/4   multiply by 4   y=1/4(x-15)

Answers:

Equation in standard form: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex]

Axis of Symmetry: x = -1

Vertex: (-1, -4)

Focus: (-1, -2)

Directrix: y = -6

Step-by-step explanation:

First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.

Our initial equation is:  [tex]8(y+4)=(x+1)^{2}[/tex]

In order to put our equation in standard form, we must isolate y, so that it is in terms of y.

First, we need to divide both sides by 8. When we do this, we get  [tex]y+4=\frac{(x+1)^{2} }{8}[/tex] or [tex]y+4=\frac{1}{8}(x+1)^{2}[/tex]. Then we need to subtract 4 from both sides to get:  [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex].

Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is [tex]y=a(x-h)+k[/tex] where [tex]a =\frac{1}{4p}[/tex].

The axis of symmetry is at [tex]x=h[/tex], in this case [tex]h=-1[/tex] so the axis of symmetry is [tex]x=-1[/tex].

The vertex is located at [tex](h, k)[/tex]. As we previously stated [tex]h=-1[/tex], but additionally, [tex]k=-4[/tex] making the vertex located at [tex](-1,-4)[/tex].

The focus is located at [tex](h, k+p)[/tex] and the directrix is located at [tex]y=k-p[/tex]. For this, we need to find p which we can find with the equation [tex]a =\frac{1}{4p}[/tex]. Substituting the value of “a” into the equation, we get [tex]\frac{1}{8} = \frac{1}{4p}[/tex]. We can cross-multiply to get the equation [tex]4p=8[/tex]. Dividing by 4 on both sides, we get [tex]p=2[/tex]. Now we can find the focus and directrix.

The focus is located at [tex](-1, [-4+2])[/tex] or [tex](-1,-2)[/tex] and the directrix is represented by the equation [tex]y=(-4-2)[/tex] or [tex]y=-6[/tex].

Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time

The perimeter of a square notepad is 124 centimeters. How long is each side?

Answers

Answer:

31 Centimeters

Step-by-step explanation:

Since a square has 4 equal sides, each side will be the same in measurement. Therefore, we take our total (124 centimeters) and divide it into 4.

124 / 4 = 31

two events A and B, are independent P(A)=0.3 P(A and B)=0.24 what is P(B)

Answers

Answer: 0.8

Step-by-step explanation: where the events are independent you multiply p(A) by p(B)

Imani earned $48 in interest after two years on an account that paid 8% simple interest annually. Use the formula I = Prt to find Imaríi's principal balance.
$30.00
$76.80
$300.00
$768.00

Answers

Answer:

I=$48

t=2 years

r=8%

Principal=(I×100)/(t×r)

($48×100)/(2×8)

$4800/16

$300

Select all the statements that are true. Explain your reasoning
4−2(3+7)=4−2⋅3−2⋅7
4−2(3+7)=4+−2⋅3+−2⋅7
4−2(3+7)=4−2⋅3+2⋅7
4−2(3+7)=4−(2⋅3+2⋅7)

Answers

Answer:

First and second are both true.

Third and fourth are not true.

Step-by-step explanation:

4−2(3+7)=4−2⋅3−2⋅7

4−2(3+7)= 4 - 2(3+7)  [  -2*3 - 2*7 :  the -2 can be removed from -2*3-2*7 to make -2(3 + 7); communative]  This results in 4-2(3+7), the same on the left side

4−2(3+7)=4+−2⋅3+−2⋅7

The (4+-2*3+-2*7) can be written as (4-2*3-2*7) to simplify the "-+" to simply "-".  That can be written as 4 - 2(3+7), the same as on the left side.

4−2(3+7)=4−2⋅3+2⋅7

The right side, 4-2*3+2*7, can be written as 4-2(3-7), which is NOT the same as on the left.

4−2(3+7)=4−(2⋅3+2⋅7)

The right side can be written as 4-2(3-7), which is not the same as on the left side.

Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?


Question 3 options:


an = 30,000(2)n


an = 29,500(2)n−1


an = 30,000(2)n−1


an = 30,000(0. 5)n+1

Answers

Answer:

an = 30000 * 2^(n-1)

Step-by-step explanation:

The explicit rule of Mr. Blue 's salary

is an = 30000 * 2^(n-1)

How to determine the explicit

How to determine the explicitformula?

Mr. Blue's salary is a geometric sequence

with the following parameters:

First term, a1 = 30000

Rate, r = 2

The explicit rule is calculated as:

an = a1* r^(n-1)

This gives

an = 30000 * 2^(n-1)

Need help 10 points

Answers

Answer:

The answer is B :)

Step-by-step explanation:

The closed dot means less than or equal to. That is why b is correct :)

Have an amazing day!!

Please rate and mark brainliest!!

Answer:

no a, is the answer not b. salamat po

If the area of this rectangle is 55 square units, what is the perimeter. Help asap

Answers

Answer:

32 unit is your correct answer

Answer:

Step-by-step explanation:

the answer is 32

What is the mean of the set of data?
25.2, 26.4, 28.7, 25.5

Answers

Check the picture below.

Please help and match the following.

Answers

Answer:

-4x^3 is a monomial

2x + 3 is a binomial

5x^2 + 2x - 10 is a trinomial

Step-by-step explanation:

Monomial equations have one term, biomials have two terms, and trinomial have three.

Answer:

-4x^3 is Monomial

2x + 3 is binomial

5x^2 + 2x - 10 is trinomial

Step-by-step explanation:

Monomial means one term

Binomial is 2 terms

Trinomial is 3 terms

Hope this helps!

A scientist wants to estimate the number of lions living in a region.

On Thursday, he locates and tags some lions. I

On Friday he returns and locates 10 less lions than he had on Thursday.

He notices that 4 of the lions are tagged

The scientist works out an estimate for the total number of lions living in the

region.

He notices that the number of lions that he had caught on Thursday, was a

fifth of the total number of lions.

How many lions live in the region?

Answers

The number of the lions that live in the region investigated by the considered scientist is 80.

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, we're specified that:

He locates and tags lions on ThursdayOn friday, he locates 10 less lions than he had on Friday.He notices (on friday) that 4 of the lions are tagged.The number of lions caught on thursday was a fifth of the total number of lions.

Let we take:

x = number of lions the scientist located and tagged on thursday.

Then, we get:

x - 10 = number of lions the scientist located (and assumingly found that they're tagged) on friday,

4 = number of lions he found tagged on friday.

That means, x -10 is same number as 4

or, we get:

[tex]x - 10 = 4\\\text{Adding 10 on both the sides}\\\\x = 14[/tex]

That means, on thursday, the scientist located and tagged 14 lions.

Now, suppose that the region had 'y' number of lions,

Then, as per the data in the question,

one-fifth of y =  number of lions located by scientist on thursday

or, we get:
[tex]\dfrac{y}{5} = x\\\\\dfrac{y}{5} = 14\\\\\text{Multiplying 5 on both the sides}\\\\y = 80[/tex]


Thus, the number of lions that live in the region considered is 80

Learn more about forming equations here:

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The total number of lines is 70.

We have given that,

A scientist wants to estimate the number of lions living in a region.

On Thursday, he locates and tags some lions.

On Friday he returns and locates 10 less lions than he had on Thursday.

He notices that 4 of the lions are tagged

The scientist works out an estimate for the total number of lions living in the region.

we have to determine the no of lines in the length.

on Thursday no.of lines=x

on friday=(x-10)=4

x-10=4

add like terms

What is the like terms?

Like terms are terms whose variables and their exponents such as the 2 in x^2 are the same.

x=10+4

x=14

No.of total lions =5th of (no. of tagged on Thursday.)

=5(14)

=70

Therefore the total number of lines is 70.

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You have read 4 of the books shown. Which choice shows 2 ways of writing the fraction of these books that you read?

Answers

Total books read: 4Total books in list: 12

So it can be shown as:

[tex]\sf \dfrac{read \ books}{total \ books \ in \ list}[/tex]

[tex]\hookrightarrow \sf \dfrac{4}{12}[/tex]

on simplifying

[tex]\hookrightarrow \sf \dfrac{1}{3}[/tex]

So, option 1 is correct.

First one

Let's find

Total read books=4Total books=12

fraction:-

4/12

Cancel by 4

1/3

Hence verified

help im stuck on this question

Answers

Answer:

The answer is C. The frequency is 15 more than expected.

Step-by-step explanation:

A dice has 1-6. There are 3 odd numbers and 3 even numbers. So a 50% chance of landing an even number. Since you rolled 30 times and got 18 even then more than half of 30 times.

Isabelle runs a restaurant that offers a children's menu. This past week, 20 children ate at her restaurant, and 8 of them ordered grilled cheese. What is the probability that a randomly selected child eating in Isabelle's restaurant this past week ordered grilled cheese?
Write your answer as a fraction or whole number

Answers

Fraction=8/20 kids ate a grilled cheese at her restaurant in the last week. This simplifies to 2/5. Therefore the probability that a randomly selected child at her restaurant is eating a grilled cheese is 2/5.

A bike wheel has a 16-inch diameter. Approximately how far will the wheel travel in three rotations? Use 3.14
for π

Answers

Answer:

151 inches

Step-by-step explanation:

PLEASE I REALLY NEED SOMEONE TO ANSWER THIS FOR ME. IF SOMEONE CONTINUES TO ANSWER MY QUESTIONS ILL KEEP UPPING THE POINTS>

Answers

Answer:

WHAT NEEDS TO BE ANSWERED?????

Step-by-step explanation:

I CAN MAYBE HELP!!!

Answer:

Which DId you forgot to link it?

Step-by-step explanation:

What is the similarity statement that goes with the image, sorry I couldn't find the symbols.

white up pointing triangle S T R tilde white up pointing triangle S Q R

white up pointing triangle S T R tilde white up pointing triangle T Q R

white up pointing triangle S T R tilde white up pointing triangle R T Q

white up pointing triangle S T R tilde white up pointing triangle R S T

Answers

Answer: Option (3)

Step-by-step explanation:

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