If a line crosses the y-axis at (0,1) and has a slope of 4/5 what is the equation of the line

Answer:

4

Step-by-step explanation:

ur welcome hopefully this helps

Answer:

Option B.

Step-by-step explanation:

Option A.

f(x) = [tex](0.5)^{x}[/tex]

Derivative of the given function,

f'(x) = [tex]\frac{d}{dx}(0.5)^x[/tex]

      = [tex](0.5)^x[\text{ln}(0.5)][/tex]

      = [tex]-(0.693)(0.5)^{x}[/tex]

Since derivative of the function is negative, the given function is decreasing.

Option B. f(x) = [tex]5^x[/tex]

f'(x) = [tex]\frac{d}{dx}(5)^x[/tex]

      = [tex](5)^x[\text{ln}(5)][/tex]

      = [tex]1.609(5)^x[/tex]

Since derivative is positive, given function is increasing.

Option C. f(x) = [tex](\frac{1}{5})^x[/tex]

f'(x) = [tex]\frac{d}{dx}(\frac{1}{5})^x[/tex]

      = [tex]\frac{d}{dx}(5)^{(-x)}[/tex]

      = [tex]-5^{-x}.\text{ln}(5)[/tex]

Since derivative is negative, given function is decreasing.

Option D. f(x) = [tex](\frac{1}{15})^x[/tex]

                f'(x) = [tex]-15^{-x}[\text{ln}(15)][/tex]

                       = [tex]-2.708(15)^{-x}[/tex]

Since derivative is negative, given function is decreasing.

Option (B) is the answer.

Answer:

P(2c - h, 2n - s )

Step-by-step explanation:

If there are two points (x1,y1) and (x2,y2) on the coordinate plane

then midpoint is given by (x1+x2)/2 , (y1+y2)/2

_________________________________________________

in the problem midpoint is m(c,n)

one point is Q(h,s)

let other point be P(x,y)

By using midpoint formula given above

for point P(x,y) and Q(h,s)

midpoint = (x+h)/2, (y+s)/2

also midpoint is m(c,n)

comparing m(c,n) with (x+h)/2, (y+s)/2

c = x+h/2

=> 2c = x+h

=> 2c - h = x

n = (y+s)/2

=> 2n = y+s

=> 2n - s = y

Thus, second endpoint is P(x,y) = P(2c - h, 2n - s )

Answer:

Amount that Brian has after 2 years = £6932.53

Step-by-step explanation:

To find, the amount that Brian will have after 2 years:

Formula for amount where compound interest is applicable:

[tex]A = P \times (1+\dfrac{R}{100})^t[/tex]

Where A is the amount after t years time

P is the principal.

R is the rate of interest.

In the question, we are given the following details:

Principal amount,P = £6300

Rate of interest,R = 4.9%

Time,t = 2 years

Putting the values in formula:

[tex]A = 6300 \times (1+\dfrac{4.9}{100})^2\\\Rightarrow 6300 \times (\dfrac{104.9}{100})^2\\\Rightarrow 6932.53[/tex]

Hence, Amount that Brian has after 2 years = £6932.53

Answer:

THE ANSWER IS ABOVE

Step-by-step explanation:

hahahaha

Answer:

[tex]2^{6}[/tex]

Step-by-step explanation:

[tex]2^3 \div 2^{-3}[/tex]

[tex]2^{3-(-3)}[/tex]

[tex]2^{3+3}[/tex]

[tex]2^{6}[/tex]

Answer:

Option (2).

Step-by-step explanation:

From the figure attached,

EFGH is a quadrilateral and FH is line which divides the quadrilateral into two right triangles, ΔFEH and ΔHGF.

In ΔFEH and ΔHGF,

Sides EH ≅ FG [Given]

FH ≅ FH [reflexive property]

ΔFEH ≅ ΔHGF [HL (Hypotenuse - length) postulate of congruence]

Option (2) will be the answer.

Answer:

your number should be 8

Step-by-step explanation:

5x+(-3)=37

5x-3=37

+3       +3

5x=40

÷5  ÷5

x=8

hope this helps

Answer:

The answer is 8.

5x-3=37

5x=37+3

5x=40

x=40/5

x=8

HOPE IT HELPS!!

The right answer is 40 cm

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Answer:

see below

Step-by-step explanation:

You could write it as 2+2+2+2+2 or 5+5 bc multiplication is like repeated addition.

Answer:

You can use the repeated additional as given below.

Step-by-step explanation:

2+2+2+2+2 or 5+5

Answer:

  42.67%

Step-by-step explanation:

The annual growth factor for interest at annual rate r compounded quarterly is ...

  (1 +r/4)^4

You want that value to be 1.5:

  1.5 = (1 +r/4)^4

  1.5^(1/4) = 1 +r/4

  (1.5^(1/4) -1) = r/4

  4(1.5^(1/4) -1) = r ≈ 0.426728

The rate r must be about 42.67%.

_____

Comment on the wording

We interpreted the problem to mean the end-of-year amount is 1.5 times the beginning-of-year amount. That is, it is "1.5 times the amount invested."

The word "more" is typically used when addition is involved. For example, "25% more" means 25% of the original is added to the original. We occasionally see "more" where "x times more" is intended to mean "x times", rather than "x times the amount, added to the original amount."

As the x values go up, the y values go down which means the line is higher on the left side than it is on the right side.

The 4th graph would be the correct one

Answer:

Step-by-step explanation:

The missing list of the data values for the question are as follows:

1             1.03

2             1.01

3             0.96

4             0.96

5             0.99

6             1

7             1.01

8             0.98

9             1.02

10            1.03

11             1

12             0.99

13             1

14             0.97

15             1.01

               [tex]x_i[/tex]                          [tex](x_i - \bar x)[/tex]                              [tex](x_i - \bar x)^2[/tex]

1             1.03                         0.03                                  0.0009

2             1.01                         0.01                                   0.0001

3             0.96                        -0.4                                   0.0016

4             0.96                        -0.4                                   0.0016

5             0.99                        -0.1                                   0.0001

6             1                               0.0                                   0.0

7             1.01                           0.1                                   0.0001

8             0.98                        -0.2                                   0.0004

9             1.02                          0.2                                   0.0004

10            1.03                          0.3                                   0.0009

11             1                               0.0                                   0.0

12             0.99                        -0.1                                   0.0001

13             1                               0.0                                   0.0

14             0.97                        -0.03                                   0.0009

15             1.01                           0.1                                   0.0001

The average value for x is calculated as:

[tex]\bar x = \dfrac{14.96}{15}[/tex]

[tex]\bar x = 0.997 \\ \\ \bar x \approx 1.00[/tex]

[tex]\sum (x-x_i)^2 = 0.0072[/tex]

[tex]\dfrac{\sum (x-x_i)^2 }{n-1}= \dfrac{0.0072}{15-1} \\ \\ = \dfrac{0.0072}{14} \\ \\ = 0.00051[/tex]

[tex]\sigma = \sqrt{\dfrac{\sum (x-x_i)^2 }{n-1}} = \sqrt{0.00051} \\ \\ \sigma =0.0226 \\ \mathbf { \\ \sigma =0.02 \ to \ one \ significant \ figure}[/tex]

Answer:

a. $840

b. $1,260

Step-by-step explanation:

a. 2/5 x 2100 = 840

b. 2100 - 840 = 1,260

Answer:

19.2

Step-by-step explanation:

It's right on Acellus.

The required value of x nearest to tenth is 19.17

The longest side of the right angled triangle is called hypotenuse

By the Pythagoras theorem in the right angled triangle

h^2 = b^2 + p^2

where h = hypotenuse, b = base, p = perpendicular

Here we have given perpendicular p = 9

and an angle = 28°

Using sin for the given angle we have

sin 28° = [tex]\frac{perpendicular}{hypotenuse}[/tex]

0.46947 = [tex]\frac{9}{x}[/tex]

x = [tex]\frac{9}{0.46947}[/tex]

x =  19.17

Hence the required length of the side hypotenuse = x = 19.17

This is the conclusion to the answer.

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Question Correction

A group of neighbors are constructing a community garden that is 80 meters wide and 40 meters long. The top two vertices are plotted below at (10, 70) and (90, 70). What are the coordinates for the bottom two vertices of the garden?

Answer:

(10,30) and (90,30)

Step-by-step explanation:

The community garden is 80 m wide and 40 m long.

The top two vertex are plotted at: (10, 70) and (90, 70).

Horizontal Distance =90-10=80

This serves as the Width of the garden.

Since the length is 40m, the bottom two vertex can be derived by the transformation: (x,y-40).

(x,y-40)-->(10, 70)=(10,30); and

(x,y-40)-->(90, 70)=(90,30)

The coordinates for the two bottom vertices are (10,30) and (90,30).

Answer:

The probability that they have a mean height greater than 71.9 inches

P(  x⁻ ≥71.9) =  0.0022

Step-by-step explanation:

Explanation:-

Given mean of the Population μ= 70.9

Standard deviation of the Populationσ = 2.1

Given sample size 'n' =36

let x⁻ be the mean height

given  x⁻ =71.9 inches

[tex]Z=\frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]

[tex]Z=\frac{71.9 -70.9}{\frac{2.1}{\sqrt{36} } } = \frac{1}{0.35} = 2.85[/tex]

The probability that they have a mean height greater than 71.9 inches

P(  x⁻ ≥71.9) = P(Z ≥ 2.85)

                    = 1 - P(Z≤ 2.85)

                   =  1 - ( 0.5 + A(2.85)

                   = 0.5 - A( 2.85)

                  = 0.5 - 0.4978

                  = 0.0022

The probability that they have a mean height greater than 71.9 inches

 P(  x⁻ ≥71.9) =  0.0022

Answer:

the answer is 0.0022

Step-by-step explanation:

Answer:

(a)r=15-b

11.9 Inches

(b)See attached

Step-by-step explanation:

Length of the candle =15 inch

Let b represent the burned length of the candle (in inches)

Let r represent the remaining length of the candle (in inches).

Therefore:

(a) r+b=15

r=15-b

When b=3,1 Inches

Remaining Length, r=15-3.1=11.9 Inches

(b)The graph showing te relationship between r and b is shown below.

r is plotted on the y-axis while b is plotted on the x-axis as labelled.

Formula that express r in terms of b is

[tex]r=15-b[/tex]

Remaining length of candle is 11.9 inches

Given :

A 15-inch candle is lit and steadily burns until it is burned out

Let b represent the burned length   and let r represent the remaining length  

We need to write the formula

remaining length = initial length - burned length

[tex]r=15-b[/tex]

When 3.1 inches have burned from the candle, the remaining length of the candle is inches.

b is 3.1

remaining length [tex]r=15-3.1=11.9[/tex] inches

now we graph the relationship

Graph is attached below.

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Answer:

9.9

Step-by-step explanation:

remember your distribution rules.

x/3.3=3 make sure x is by itself. so take 3*3.3

When you have x divided by a number equaling a number take the number it equals to and multiply by the number that x is being divided by.

3=x/3.3

move 3.3 by multiplying it by 3 which gives you 9.9.

The solution of x in equation 3 = x / 3.3 is,

⇒ x = 9.9

We have to given that;

Expression is,

⇒3 = x / 3.3

Now, We can simplify the equation for x as;

⇒ 3 = x / 3.3

Multiply by 3.3 both side,

⇒ 3 × 3.3 = x

⇒ 9.9 = x

⇒ x = 9.9

Thus, Solution is,

⇒ x = 9.9

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Answer: 880 oz

Step-by-step explanation:

We want to write it in the same units, let's use oz as our common unit.

1 gal = 128 oz

then 5 gal = 5*128 oz = 640 oz

1 qt = 32 oz

then 6 qt = 6*32 oz = 192 oz

Then we have:

640 oz + 192 oz + 48 oz = 880 oz

The value of standard notation is,

⇒ 880 oz

We have to given that,

Measures are,

⇒ 5 gal 6qt 48 oz

We have to change it into standard notation as,

We want to write it in the same units, let's use oz as our common unit.

1 gal = 128 oz

then 5 gal = 5 x 128 oz = 640 oz

1 qt = 32 oz

then 6 qt = 6 x 32 oz = 192 oz

Then we have:

⇒ 5 gal 6qt 48 oz

⇒ 640 oz + 192 oz + 48 oz

⇒ 880 oz

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Answer:

8.20 am

Step-by-step explanation:

First, we have that Bus A will be back after 20 minutes, then after 40, then 60, 80, 100, 120, 140, 160 minutes, etc.

Then, we have that Bus B will be back after 35 minutes, then 70, then 105, then 140, 175....

From the list above we see that the first time they are both back at the station is after 140 minutes. (it's the MCM).

If we express this in terms of minutes, since one hour has 60 minutes, 2 hours have 120 minutes and thus, 140 minutes is 2 hours and 20 minutes.

Therefore, they will be both back at the station 2 hours and 20 minutes after they first departed at 6 am, so they will be back at the depot at 8.20 am

Answer: The answer is 19

Step-by-step explanation:

Answer:

a) The equation of Z and C is Z =K C

b) K = 2

Step-by-step explanation:

Explanation :-

Given data Z is directly proportional to C

              ⇒   Z ∝ C

               ⇒  Z = K C

The equation of relating Z and C    

               Z = K C

Given Z = 20 and C =10

              20 = K ( 10)

          ⇒ K = 2

Answer:

12.08

Step-by-step explanation:

For each sunflower, there are only two possible outcomes. Either it germinates, or it does not. The probability of a sunflower germinating is independent of other sunflowers. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

Probability of exactly x sucesses on n repeated trials, with p probability.

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Seventy-six percent of sunflower seeds will germinate into a flower

This means that [tex]p = 0.76[/tex]

Samples of 800:

This means that [tex]n = 800[/tex]

The standard deviation for the number of sunflower seeds that will germinate in such samples of size 800 is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{800*0.76*0.24} = 12.08[/tex]

Answer:

They charge an equal amount of money each hour.

Answer:

Gym B and Gym A charge the same hourly rate for childcare.

Step-by-step explanation:

answer on edge

Answer:

  [tex]f^{-1}(x)=4x+48[/tex]

Step-by-step explanation:

To find the inverse, solve for y:

  x = f(y)

  x = (1/4)y -12

  x +12 = (1/4)y . . . . add 12

  4(x +12) = y . . . . . multiply by 4

  y = 4x +48 . . . . . . simplify

The inverse function is ...

  [tex]\boxed{f^{-1}(x)=4x+48}[/tex]

Answer:

B

Step-by-step explanation:it is really too risky to use credit card online because for someone who doesnt now if the busines is really considered as a trustful source or just a scam.

Answer:

Its A.) Individuals who sell items online cannot afford to deal with credit card companies.

Step-by-step explanation:

On plato

Answer:

4.6%.

Step-by-step explanation:

The probability that a can of paint contains contamination(C) is 3.23%

P(C)=3.23%

The probability of a mixing(M) error is 2.4%.

P(M)=2.4%

The probability of both is 1.03%.

[tex]P(C \cap M)=1.03\%[/tex]

We want to determine the probability that a randomly selected can has contamination or a mixing error. i.e. [tex]P(C \cup M)[/tex]

In probability theory:

[tex]P(C \cup M) = P(C)+P(M)-P(C \cap M)\\P(C \cup M)=3.23+2.4-1.03\\P(C \cup M)=4.6\%[/tex]

The probability that a randomly selected can has contamination or a mixing error is 4.6%.

Answer:

Step-by-step explanation:

Note that 28 + 110 + 42 = 180, and that 28 + 42 + 110 = 180 also.

Since all three angles of one triangle are the same as the corresponding angles of the other triangle, the triangles are similar.

Answer:

D: 17 times

Step-by-step explanation:

Volume of tank = 36×13×24

= 11,232 cubic inches

Now

Bucket = 693 cubic inches

Number of time Valeria will use the bucket = 11232/693

= 16.2

≈ 17

Answer:

-3/5

Step-by-step explanation:

3x+5y=0

Subtract 3x from each side

3x+5y-3x=0-3x

5y = -3x

Divide each side by 5

5y/5 = -3x/5

y = -3/5 x

A direct variation is y = kx

y = -3/5 x

The constant of variation is -3/5