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The exponential function that passes through (0,2) and (3,54) is a growth function

The exponetial function is y = 2 * 3^x

The points are given as:

(x,y) = (0,2) and (3,54)

An exponential function is represented as:

y = ab^x

Substitute the points in the equation

2 = ab^0 and 54 = ab^3

Solve 2 = ab^0

a = 2

Substitute 2 for a in 54 = ab^3

54 = 2b^3

Divide by 2

27 = b^3

Take the cube roots of both sides

b = 3

So, we have:

y = ab^x

This becomes

y = 2 * 3^x

Hence, the exponetial function is y = 2 * 3^x

Read more about exponential functions at:

https://brainly.com/question/24077767

Answer:

Step-by-step explanation:

let x be necromancers and y be wizards

if you know the amount of wizards and want to find the amount of necromancers. you just use y + 6

but if you know the amount of necromancers and want to find out the amount of wizards you just do x - 6

Answer:

no solution,because the Is no 83=512 there

Answer:

Theorem : If in a quadrilateral, each pair of opposite angles is equal, then it is a parallelogram. Given : ABCD is a quadrilateral in which ∠A = ∠C and ∠B = ∠D. We know that the sum of the angles of a quadrilateral is 360o.

Step-by-step explanation:

hope that helps

Proportions are created when we set two ratios equal to each other. They help us convert between rates.

Example:

⇒ In this example, we are solving for x.

⇒ Question example: For every 4 stars, there are 8 hearts. How many hearts will there be for 6 stars?

To solve proportions, we can cross multiply. This means multiplying the numerator of one fraction by the denominator of the other fraction.:

[tex]\dfrac{4\hspace{3}stars}{8\hspace{3}hearts}=\dfrac{6\hspace{3}stars}{x\hspace{3}hearts}\\\\4x=6*8[/tex]

We're given:

Set up a proportion:

[tex]\dfrac{8\hspace{3}minutes}{96\hspace{3}calories}= \dfrac{14\hspace{3}minutes}{x\hspace{3}calories}[/tex]

⇒ Let x be equal to the number of calories the jogger would burn in 14 minutes.

Cross multiply:

[tex]8x=14*96\\8x=1344\\x=168[/tex]

Therefore, the jogger would burn 168 calories in 14 minutes of jogging.

Answer:

5/9

Step-by-step explanation:

Let the probability of getting a multiple of 3 is "A"

Let the probability of getting an even number is "B"

Total number of outcomes=36

Total number of favourable outcomes of either a multiple of 3 or an even number are

(1,1) ,(1,2) ,(2,1) ,(1,3) ,(3,1) ,(2,2) ,(1,5) (5,1) ,(3,3) ,(2,4) ,(4,2) ,(2,6) ,(6,2) ,(3,5) ,(5,3) ,(4,4) ,(6,4) ,(4,6) ,(5,5) ,(6,6)

That is we have 20 favourable outcomes

Hence, Probability=\frac{\text{favourable outcomes}}{\text{total number of outcomes}}Probability=

total number of outcomes

favourable outcomes

Therefore, after substituting the values we get

probability=\frac{20}{36}probability=

36

20

After simplification we will get

probability=\frac{5}{9}probability=

9

5

Answer:

£120

Step-by-step explanation:

96 divided by 4=£24

1=£24

24+96=120

Answer:

  5

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

  x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16)  = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

  101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

  (x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

  x(x⁴ +4) = 1(1⁴ +4) = 5

  3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

  5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

  7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

  9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

Answer:

28

Step-by-step explanation:

a is equal to 7,

so where there is 'a' you replace

with 7

4(7)=7×4=

28

Answer:

A and E  MARK BRAINLIEST!

Step-by-step explanation:

Well lets look into this question carefully ,

You should first subtract 120- 48= 72

Then 72/ 8 = 9 so we can check all that apply equations we used

A and E

Answer:

15cm

Step-by-step explanation:

© the envelope is 15cm rall.

Answer:

15cm

Step-by-step explanation:

√289-64

√225

15cm

Answer:

yes

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

[tex]3\frac{3}{4} / \frac{2}{8} = \frac{15}{4} / \frac{2}{8} = \frac{15}{4} * \frac{8}{2} = \frac{120}{8} = 15[/tex]

Step-by-step explanation:

1 kilometer

thank you very much

Answer:

(- infinitysymbol,-5]

see image.

Step-by-step explanation:

Interval notation uses parenthesis or square brackets in the format:

( or [ begin , end )or]

Always use parenthesis around the infinity or negative infinity symbol. Square brackets are for when the number is included. Like in this case where it says "or equal to -5"

see image.

[tex]\text{Radius of circle, r} =\dfrac 62 = 3~ m \\\\\text{Area of circle} = \pi r^2 = \pi \cdot 3^2 = 3.14 \times 9 =28.26~m^2[/tex]

Answer:

2

Step-by-step explanation:

the line is straight and is set on 2 so y<2

Take one side

Scale factor (A to B)

[tex]\\ \rm\rightarrowtail \dfrac{3}{9}=\dfrac{1}{3}[/tex]

#2

Scale factor Bto A:-

Scale factor (Ato B)=3/2

Answer:

The scale factor can either increase or decrease the size of an object. To find the scale factor of dilation:

[tex]\textsf{Scale factor} = \dfrac{\textsf{Dimension of the new shape}}{\textsf{Dimension of the original shape}}[/tex]

For these questions:

Question 1

[tex]\sf \implies scale \ factor=\dfrac{9}{3}=3[/tex]

Question 2

[tex]\sf \implies scale \ factor=\dfrac46=\dfrac23[/tex]

Answer:

B

Step-by-step explanation:

adding both sides will leave you at x/3=15

then diving by 3, the two 3s will cancel out and you will be left with x=15

Answer:

91.3 and 0913

Step-by-step explanation:

91 + 91 + 91 is an expression that can be simplified into a multiplication problem, because there is a number being added by itself a certain amount of times. So we have to look for a multiplication problems within our answers.

Leading us up to 91(3) and (91)(3), these are both examples of multiplcation.

91.3 would happen if you were adding .3 to 91

And 0913 would happen if you added 91 and 822

Answer:

In 2009

Step-by-step explanation:

If the wren population is going down by 40% each year, that means the following year's population is just 60% of what was in the previous year. This means that what we have to do is multiply the previous year's number by 0.6 to get the current year's population. If we take the data from 2004 as 100%, we have the following numbers:

2004 = 100%

2005 = 60 % (100 * .6)

2006 = 36 % (60 * .6)

2007 = 21.6 % (36 * .6)

2008 = 12.96 % (21.6 * .6)

2009 = 7.776% (12.96 * .6)

This means that 2009 will show that the wren population is less than 10% (7.776%) than what it was in the year 2004.

I hope this helps! :D

Answer:

2009

Step-by-step explanation:

On June 1, 2004 we can say that there were 100% of the wrens.

If the number decreases by 40% each year, then each year there will be 60% of the previous years number.  To find 60%, multiply by 0.6 (since 60% = 60/100 = 0.6)

June 1, 2004 = 100%

June 1, 2005 = 100% x 0.6 = 60%

June 1, 2006 = 60% x 0.6 = 36%

June 1, 2007 = 36% x 0.6 = 21.6%

June 1, 2008 = 21.6% x 0.6 = 12.96%

June 1, 2009 = 12.96% x 0.6 = 7.776%

Therefore, the census shows that the number of wrens is less than 10% in the year 2009.

Step-by-step explanation:

please mark me as brainlest

Answer:

3x + (2 - x) = 10

3x + 2 - x = 10

2x + 2 = 10

2x = 10 - 2

2x = 8

x = 8/2

x = 4

y = 2 - x

y = 2 - 4

y = -2

Answer:

B. A gravestone protrudes from the ground.

Step-by-step explanation:

To protrude means to stick out. All other answers describe the object behind or inside something.

Ya sure.... What's your doubt?

Answer:

1.6

Step-by-step explanation:

Just 7[tex]\frac{3}{10}[/tex] - 5[tex]\frac{7}{10}[/tex]

Answer:

He'll have to work for 12 weeks.

Step-by-step explanation:

19.20×25=480.00(how much he earns in a week)

5760/480=12

Answer:

x > -8

Step-by-step explanation:

-2x + 7 < 23

Subtract 7 from each side

-2x + 7-7 < 23-7

-2x  < 16

Divide by -2, remembering to flip the inequality

-2x/-2 > 16/-2

x >-8

Step-by-step explanation:

[tex] = - 2x + 7 < 23[/tex].

Move the constant to the right side..

[tex] = - 2x < 23 - 7[/tex]

Subtract 7 from 23

[tex] = - 2x < 16[/tex]

Change the symbol and reverse the symbol of the inequality to other direction...

[tex] = 2x > - 16[/tex]

Now....divide both side by the same number

[tex] = x > - 8[/tex]

Answer:

84

Step-by-step explanation:

the greatest will be  + 567

then 78 ; 0 ; - 6,7 ; - 6,78 ; - 45 and the least one = - 99

Answer:

draw a square with a side length of 2.5 cm. label it CARL

Draw the circle with center A passing through C

draw SEGMENT CR

draw the straight line d passing through A and perpendicular to CR

Answer:

12 < x < 18

Step-by-step explanation:

Assuming these are 2 sides of a triangle, then

given 2 sides of a triangle , the 3rd side x is in the range

difference of 2 sides < x < sum of 2 sides , that is

15 - 3 < x <  15 + 3

12 < x < 18