WILL GIVE BRAINIEST PLEASE WRITE IN ''f(x) = a(b)^x'' ORDERAn industrial copy machine has the ability to reduce image dimensions by a certain percentage each time it copies. A design began with a length of 16 inches, represented by the point (0,16). After going through the copy machine once, the length is 12, represented by the point (1,12).

WILL GIVE BRAINIEST PLEASE WRITE IN ''f(x) = A(b)^x'' ORDERAn Industrial Copy Machine Has The Ability

Answers

Answer 1

Answer:

f(x) = 16*0.75^x

Step-by-step explanation:

first off let's use this coordinate (the one given) :

(0,16)

let's substitute this into the equation with x being 0 and f(x) being 16

16 = a*b^0

*anything to the power of 0 is 1*

so:

a = 16

now use the second coordinate :

(1,12)

and do the same by substituting 1 for x and 12 for f(x), we also know what 'a' is:

12 = 16*b^1

12 = 16 * b

b = 3/4

so :

f(x) = 16*0.75^x

Answer 2

Answer:

f(x) = 16(.75)^x

Step-by-step explanation:

WILL GIVE BRAINIEST PLEASE WRITE IN ''f(x) = A(b)^x'' ORDERAn Industrial Copy Machine Has The Ability

Related Questions

One jar holds 40 purple marbles and 5 black marbles. A second jar holds 90 orange marbles and 10 black marbles. What is the probability that a black marble will be drawn from both jars?

Answers

Answer:

1/90

Step-by-step explanation:

The first jar holds 45 marbles and 5 of them are black.

The second jar holds 100 marbles and 10 of them are black.

Required probability:

P(b,b) = 5/45*10/100 = 1/9*1/10 = 1/90

Now we have to find,

The probability that a black marble will be drawn from both jars.

The given information is,

→ 1st jar contains/holds 45 marbles.

→ 5 of the marbles are black.

→ 2nd jar contains/holds 100 marbles.

→ 10 of the marbles are are black.

Then the probability will be,

→ P(b,b)

→ (5/45) × (10/100)

→ (1/9) × (1/10)

→ 1/90

Thus, required probability is 1/90.

6 Farah is buying clothes from a website.

The website shows this information about a jacket Farah wants to buy.

Jacket

original price £30.99

sale price £16

The website claims this is a saving of 46%.

Is the sale price a saving of 46% on the original price?

Show why you think this.

they

Answers

Answer:

No ;

Step-by-step explanation:

Given that :

original price = £30.99

sale price = £16

The percentage saving :

(Original price - sale price) / original price * 100%

(£30.99 - £16) / £30.99 * 100%

£14.99 / £30.99 * 100%

= 0.4837 * 100%

= 48.37%

According to the calculation above, the sale price isn't a saving of 46% on the original price, rather it is a saving of 48.37% on the original price.

A man ordered 5 times as many boxes of ballpoint pens as boxes of​ felt-tip pens. Ballpoint pens cost ​$ 4.33 per​ box, and​ felt-tip pens cost ​$.3.45 If the​ man's order of pens totaled ​$​75.30, how many boxes of each type of pen did he​ buy?

Answers

15 boxes of ballpoint and 3 boxes felt tip

simplify expresion 5x³y(2x+3y-4) =

Answers

Answer:

5x3 y(5xy-4)

5x3y ×1xy

5x4y2

Answer:

[tex]5 {x}^{3} y[/tex]

step by step

[tex]5 {x}^{3} y(2x + 3y - 4) \\ = 10 {x}^{3}y + 15 {x}^{3} y + 20 {x}^{3} y \\ = 5 {x}^{3} y[/tex]

Simplify 45 - 8 + 12 - (-25)

Answers

Answer:

74

Step-by-step explanation:

BODMAS

12-(-25)

=12+25=37

45-8+37

45-8=37

37+37=74

=74

Answer:

37+12+25

74 Answer

hope it helps

My question is very simple and yes I'm saying all this bc I can't ask without 20 words- What is 400 cubed?

Answers

Answer: 64000000

Explanation: Why are you named as my ALT-

PLZZZZZ HURRY WILL GIVE BRAINLIEST!!!!

Is rectangle EFGH the result of a dilation of rectangle ABCD with a center of dilation at the origin? Why or why not?

Yes, because corresponding sides are parallel and have lengths in the ratio Four-thirds
Yes, because both figures are rectangles and all rectangles are similar.
No, because the center of dilation is not at (0, 0).
No, because corresponding sides have different slopes.

Answers

Answer:

option b

Step-by-step explanation:

both are rectangles and similar measures  

Yes, because both figures are rectangles and all rectangles are similar

The rectangle EFGH is a result of the dilation of rectangle ABCD

What is Dilation?

Resizing an item uses a transition called Dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original. However, there is a variation in the shape's size. Dilation transformations ensure that the shape will stay the same and that corresponding angles will be congruent

Given data ,

Let the first rectangle be represented as ABCD

Now , the rectangle is dilated by a scale factor k

And , the transformed rectangle is given by EFGH

where the center of origin is the scale factor of dilation

Now , the ratios of the sides of the rectangles will be similar

So , the rectangles ABCD and EFGH are similar

Hence , the dilated rectangle is EFGH

To learn more about dilation click :

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it’s question number 3 and i know the answer but i need someone to explain to me how to get the answer the answer is B. pls can hurry i need the explanation soon

Answers

Answer:

2+6=8

Step-by-step explanation:

Start at 2

Then since we are adding 6 move 6 units to the right

Find the dimensions of a rectangle with perimeter 76 m whose area is as large as possible. m (smaller value) m (larger value)

Answers

Answer:

19 m

Step-by-step explanation:

Perimeter = 2(length + width) ; P = 2(l+w) - - (1)

Area = Length * width ; A = l*w - - - (2)

76 = 2(l+w)

76/2 = l+w

l+w = 38

l = 38 - w

Put l = 38 - w in (1)

A = (38-w)*w

A = 38w - w²

At maximum point:

dA/dw = 0

dA/dw = 38 - 2w

38 - 2w = 0

38 = 2w

w = 38/2

w = 19

Expand & simplify:
(x - 3)(x-4)

Answers

Answer:

[tex] {x}^{2} −7x+12[/tex]

Step-by-step explanation:

[tex](x−3)(x−4)[/tex]

[tex]x(x−4)−3(x−4)[/tex]

[tex]x \times x+x(−4)−3x−3(−4)[/tex]

[tex] {x}^{2} −4x−3x+12[/tex]

[tex] {x}^{2} −7x+12[/tex]

Hope it is helpful....

Answer:

x

[tex] {x}^{2} - 7x + 12[/tex]

Step-by-step explanation:

[tex](x - 3)(x - 4)[/tex]

[tex]x( x - 4) - 3(x - 4)[/tex]

[tex] {x}^{2} - 4x - 3x + 12[/tex]

[tex] {x}^{2} - 7x + 12[/tex]

Use the Laplace transform to solve the given system of differential equations.

Answers

Let X(s) and Y(s) denote the Laplace transforms of x(t) and y(t), respectively. Then taking the transform of both sides of both equations gives

LT[dx/dt + 5x + dy/dt] = LT[1]

==>   s X(s) - x (0) + 5 X(s) + s Y(s) - y (0) = 1/s

==>   s X(s) + 5 X(s) + s Y(s) = 1/s

==>   (s + 5) X(s) + s Y(s) = 1/s

LT[dx/dt - x + dy/dt - y] = LT[exp(t )]

==>   s X(s) - x (0) - X(s) + s Y(s) - y (0) - Y(s) = 1/(s - 1)

==>   s X(s) - X(s) + s Y(s) - Y(s) = 1/(s - 1)

==>   (s - 1) X(s) + (s - 1) Y(s) = 1/(s - 1)

Solve for X(s) and Y(s). Using elimination, you would get

X(s) = (1 - 2s) / (5s (s - 1)²)

Y(s) = (7s - 1) / (5s (s - 1)²)

Now take the inverse transforms of each. Start by getting the partial fraction decompositions:

(1 - 2s) / (5s (s - 1)²) = 1/5 (a/s + b/(s - 1) + c/(s - 1)²)

-2s + 1 = a (s - 1)² + bs (s - 1) + cs

-2s + 1 = (a + b) s ² + (-2a - b + c) s + a

==>   a + b = 0, -2a - b + c = -10, a = 5

==>   a = 1, b = -1, c = -1

==>   X(s) = 1/5 (1/s - 1/(s - 1) - 1/(s - 1)²)

Similarly, you would find

Y(s) = -1/5 (1/s - 1/(s - 1) - 6/(s - 1)²)

Now for the inverse transforms:

LT⁻¹ [1/s] = 1

LT⁻¹ [1/(s - 1)] = exp(t )

LT⁻¹ [1/(s - 1)²] = t exp(t )

Putting everything together, we have

LT⁻¹ [X(s)] = x(t) = 1/5 - 1/5 exp(t ) - 1/5 t exp(t )

and

LT⁻¹ [Y(s)] = y(t) = -1/5 + 1/5 exp(t ) + 6/5 t exp(t )

A croissant shop has plain croissants, cherry croissants, chocolate croissants, almond croissants, apple croissants, and broccoli croissants. How many ways are there to choose 26 croissants with at least one plain croissant, at least two cherry croissants, at least three chocolate croissants, at least one almond croissant, at least two apple croissants, and no more than three broccoli croissants

Answers

Answer:

27405

Step-by-step explanation:

There are 6 different variants available for each croissant. There are 26 croissants in all out of which 1 is plain. We use combination and permutation technique to identify different ways to choose croissant.

[5 + 26 - 1 ] 26 = 30C26 = 27405.

Find the value(s) of a in the domian of f for which f(a)=1.
f (x)=x^2+2x-2

Answers

Answer:

1  ≤  y  <  ∞

Step-by-step explanation:

very true

I need help please help me

Answers

Answer:

Y = (x + 1)^2 - 4

where is

look the Diagram when the line arrow cross to x line got -4 it's mean left side is Negative and reach to y diagram within 1 on positive to below

so the right answer is = Y = (x+1)^2 - 4

What is the answercto this equation? 5x+37=-6(1-8×)

Answers

Answer:

x=1

Step-by-step explanation:

5x+37=-6(1-8x)

Distribute

5x+37 = -6 +48x

Subtract 5x from each side

5x+37 -5x = -6+48x-5x

37 = -6+43x

Add 6 to each side

37+6 = -6+43x+6

43 = 43x

Divide by 43

43/43 = 43x/43

1 =x

Answer:

x=1

Step-by-step explanation:

5x+37=-6(1-8×)

5x+37=-6(-7)

5x+37=6 x 7

5x+37= 42

5x+37-37=42-37

5x=5

5x/5 = 5/5

x = 1

Hope it Helps !!

determine the values of X which the sequence
[tex]log3. \: log {3}^{3}. \: log {3}^{x} [/tex]
is (I) arithmetic (II) geometric​

Answers

Answer:

arithmetic

hyj

bhhm

bm.hg

hgjm

hgjgshmih

mhh

jhuu

please help me please help me​

Answers

14. largest 9510

15. smallest 1000000

16. n+6=22 —> n=22-6 —>n = 16

17. Add : 204 + 38429= 38633

What is the next step in solving 0 = x2 + 6x – 10 by completing the square, after you cut 6 in half?

Answers

Answer:

see below

Step-by-step explanation:

0 = x^2 + 6x – 10

Add 10 to each side

10 = x^2-6x

Take the coefficient of x

-6

Divide by 2

-6/2 =-3

Square it

(-3)^2 =9

Add 9 to each side

10+9 = x^2-6x+9

We use -3 for the square term

19 = (x-3)^2

Take the square root of each side

±sqrt(19) = x-3

Add 3 to each side

3±sqrt(19) = x

John caught a gigantic tuna fish. Every 1/100 of it could fill up a can of tuna fish. How many cans of tuna fish can it make?

Answers

Answer:

100

Step-by-step explanation:

if every 1/100 is 1 tuna can you need to multiply the amount of tuna to make a tuna can so it will be 1 so times 100

For what value of w is4w = 2w - 8

Answers

Answer:

w =-4

Step-by-step explanation:

4w = 2w - 8

Subtract 2w from each side

4w-2w = 2w-2w - 8

2w = -8

Divide by 2

2w/2 = -8/2

w = -4

Suppose the national mean annual salary for a school administrator is $91,000 a year. A school official took a sample of 25 school administrators in the state of Ohio to learn about salaries in that state to see if they differed from the national average.
77,600 76,000 90,700 97,200 90,700
101,800 78,700 81,300 84,200 97,600
77,500 75,700 89,400 84,300 78,700
84,600 87,700 103,400 83,800 101,300
94,700 69,200 95,400 61,500 68,800
(a) Formulate hypotheses that can be used to determine whether the population mean annual administrator salary in Ohio differs from the national mean of $91,000.
H0: μ ≤ 91,000
Ha: μ > 91,000
H0: μ > 91,000
Ha: μ ≤ 91,000
H0: μ ≥ 91,000
Ha: μ < 91,000
H0: μ < 91,000
Ha: μ ≥ 91,000
H0: μ = 91,000
Ha: μ ≠ 91,000
(b) The sample data for 25 Ohio administrators is contained in the file named Administrator.
What is the test statistic for your hypothesis test in part (a)? (Round your answer to three decimal places.)
What is the p-value for your hypothesis test in part (a)? (Round your answer to four decimal places.)
p-value =
(c) At
α = 0.05,
can your null hypothesis be rejected? What is your conclusion?
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.
(d) Repeat the preceding hypothesis test using the critical value approach.
State the null and alternative hypotheses.
H0: μ ≤ 91,000
Ha: μ > 91,000
H0: μ > 91,000
Ha: μ ≤ 91,000
H0: μ ≥ 91,000
Ha: μ < 91,000
H0: μ < 91,000
Ha: μ ≥ 91,000
H0: μ = 91,000
Ha: μ ≠ 91,000
Find the value of the test statistic. (Round your answer to three decimal places.)
State the critical values for the rejection rule. Use
α = 0.05.
(Round your answer to three decimal places. If the test is one-tailed, enter NONE for the unused tail.)
test statistic≤test statistic≥
State your conclusion.
Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary. Reject H0. We cannot conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.Do not reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.

Answers

Answer:

H0 : μ = 91000

H1 : μ ≠ 91000

Test statistic = - 2.594

Pvalue = 0.016

|Tcritical | = 2.064

Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.

Reject H0. We can conclude that the mean annual administrator salary in Ohio differs significantly from the national mean annual salary.

Step-by-step explanation:

The hypothesis :

H0 : μ = 91000

H1 : μ ≠ 91000

From the data given :

77600 76000 90700 97200 90700

101800 78700 81300 84200 97600

77500 75700 89400 84300 78700

84600 87700 103400 83800 101300

94700 69200 95400 61500 68800

Using calculator :

Sample mean, xbar = 85272

Sample standard deviation, s = 11039.23

Sample size, n = 25

The test statistic :

(xbar - μ) ÷ (s/√(n))

(85272 - 91000) / (11039.23/√(25)

Test statistic = - 5728 / 2207.846

Test statistic = - 2.594

The Pvalue : df = n - 1 = 25 - 1 = 24

Pvalue(-2.594, 24) = 0.0159

Decision region :

Reject H0 ; If Pvalue < α ;

α = 0.05

Using the critical value :

Decision region :

Reject H0 ; If Test statistic > |Tcritical;

Tcritical value at df = 24 ; α = 0.05 ;

|Tcritical | = 2.064

Hence,

We Reject H0 ; Since, |Test statistic| > |Tcritical|and conclude that mean salary depends differs

What is the greatest number of acute angles that a triangle can contain?
A.3
B.1
C.0
D.2

Answers

Answer:

3

Step-by-step explanation:

We know that the sum of the angles of a triangle is 180

Assume that the angles are equal

x+x+x = 180

3x= 180

x = 180/3 =60

All three angles are less than 90 which makes them acute so we know that we can have 3 acute angles

What is the answer to
5x9/17+6

Answers

Answer:

I don't know which one you mean so I did both:

[tex]\frac{5*9}{17+6} =\frac{45}{23}[/tex] [tex]5*\frac{9}{17} +6=\frac{45}{17} +\frac{102}{17} =\frac{147}{17}[/tex]

For the first 6% of Carlene's salary, her employer matches 100% of her 401(k) contributions, and from 6% to 12%, Carlene's employer matches 50% of her 401(k) contributions. Carlene's salary is $40,000, and last year, she contributed $4000 to her 401(k) plan. What was her employer's contribution to the 401(k)?​

Answers

Carlene's employer's contribution to the 401(k) was of $3,200., using proportions.

What is a proportion?

A proportion is a fraction of a total amount, and this fraction is combined with basic arithmetic operations, especially multiplication and division, to find the desired measures in the context of a problem.

The proportion of her salary that she contributed to the 401(k) plan is of:

4000/40000 = 0.1.

The first 6% of her salary is:

0.06 x 40000 = $2,400.

Hence her employee contributed $2,400 relative to the first 6% of her salary.

For the 4% between 6% and 10%, the employee contributed 50% of her contributions, hence:

0.5 x (4000 - 2400) = 0.5 x 1600 = $800.

Hence the total contribution by the employee is of:

2400 + 800 = $3,200.

More can be learned about proportions at https://brainly.com/question/24372153

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Suppose the shipping weight of your cheese shop's customized gift baskets is asymmetrically distributed with unknown mean and standard deviation. For a sample of 70 orders, the mean weight is 52 ounces and the standard deviation is 8.4 ounces. What is the lower bound of the 99 percent confidence interval for the gift basket's average shipping weight

Answers

Answer:

The lower bound of the 99% confidence interval for the gift basket's average shipping weight is of 49.34 ounces.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 70 - 1 = 69

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 69 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.649

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.649\frac{8.4}{\sqrt{70}} = 2.66[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 52 - 2.66 = 49.34

The lower bound of the 99% confidence interval for the gift basket's average shipping weight is of 49.34 ounces.

what it the value of m when (2m+8)° and the other angle 24°​

Answers

Answer:

m = 74

Step-by-step explanation:

2m+8 +24 has to = 180 because they form a line. So the equation would be 2m+32 = 180, so then 2m would equal 148, so m = 74.

The entire graph of the function f is shown in the figure below.
Write the domain and range of f using interval notation.

Answers

Answer:

below

Step-by-step explanation:

domain. = ( -5 , 4)

range = ( -2 , 3)

The degree of this expression 2x+3y=4

Answers

Answer:

1st degree

Step-by-step explanation:

You look at the largest exponet, right here, there are none so it would be 1st degree.

Answer:

1

Step-by-step explanation:

The degree of an expression with multiple exponents is the highest exponent in it. In this expression, there is no expression, so the answer will be 1 because there is no exponent and every variable and number has an invisible 1 as its exponent.

Hope this helps.

3/9 and 5/15 are they equivalent

Answers

Answer:

yes

Step-by-step explanation:

3/9  Divide the top and bottom by 3

1/3

5/15 Divide the top and bottom by 5

1/3

They are equal

How do you do 7-7(-4)

Answers

Answer:

35

Step-by-step explanation:

7-7(-4)

Using PEMDAS

Multiply first

7 +28

Then add

35

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