Given that A is directly proportional to B and that A = 5/3 when B = 5/6, find A when B=1/3 and B when A =15/2.

Answer:

7x + 2

Step-by-step explanation:

Answer:

All real numbers

Step-by-step explanation:

Adding f(x) and g(x) together gets you, (4x-5) + (3x-7) = 7x - 12

If you graph this function you get a slanted line, which extends forever so the domain will be all real numbers.

Answer:

$1100

Step-by-step explanation:

First find the area of the trapezoid

A = 1/2 (b1+b2)*h

A = 1/2 ( 90+110) *44

A = 1/2(200)*44

A = 4400ft^2

The cost is .25 per square foot

4400* .25 =1100

Answer:

$1100

Step-by-step explanation:

((90 + 110)/2 * 44)) * .25 = 1100

Answer:

[tex]\boxed{ \{7, 6, 5, 3 \} }[/tex]

Step-by-step explanation:

The domain is all possible values for x.

The range is all possible values for f(x) or y.

The domain given is {-3, -2, -1, 1}.

Plug x as {-3, -2, -1, 1} and find the f(x) or y values.

[tex]f(-3)=-(-3)+4=7\\f(-2)=-(-2)+4=6\\f(-1)=-(-1)+4=5\\f(1)=-(1)+4=3[/tex]

The range is {7, 6, 5, 3}, when the domain is {-3, -2, -1, 1}.

Answer:21

Step-by-step explanation:

50-32.5=17.5

17.5/0.8=21.875

Answer: 0.25

Step-by-step explanation:

To find :  decimal number represented by  point A on the given number line.

Given:  Vertical number line is shown from negative 2.00 to 0 to positive 2.00.There are tick marks to show increments of 1 over 4.

Point A is plotted at the third tick .

That means, Point A is marked at 1 over 4.

1 over 4 = [tex]\dfrac{1}{4}=0.25[/tex]    [divide 1 by 4]

Hence, the point A  represents 0.25 on the given number line.

Answer:

Step-by-step explanation:

Where is the picture

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b2

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca

(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)

(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)

a3 – b3 = (a – b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 – ab + b2)

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4

a4 – b4 = (a – b)(a + b)(a2 + b2)

a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b2

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b2

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

(a – b – c)2 = a2 + b2 + c2 – 2ab + 2bc – 2ca

(a + b)3 = a3 + 3a2b + 3ab2 + b3 ; (a + b)3 = a3 + b3 + 3ab(a + b)

(a – b)3 = a3 – 3a2b + 3ab2 – b3 = a3 – b3 – 3ab(a – b)

a3 – b3 = (a – b)(a2 + ab + b2)

a3 + b3 = (a + b)(a2 – ab + b2)

(a + b)4 = a4 + 4a3b + 6a2b2 + 4ab3 + b4

(a – b)4 = a4 – 4a3b + 6a2b2 – 4ab3 + b4

a4 – b4 = (a – b)(a + b)(a2 + b2)

a5 – b5 = (a – b)(a4 + a3b + a2b2 + ab3 + b4)

Answer:

  0, 1, or 2 real solutions

Step-by-step explanation:

Including complex and repeated solutions, a polynomial with real coefficients, and of degree n, always has n solutions.

If you're only concerned about real solutions, a 2nd degree equation in one variable may have 0, 1, or 2 real solutions. Here are some examples.

Answer:

60 Mile per hour

Step-by-step explanation:

Hello!

To find how far something travel in a span of time we divide the distance traveled by the time it took to travel that far

420/7 = 60

The Answer is 60mph

Hope this Helps!

Answer: 60 miles per hour

Step-by-step explanation:

420 miles / 7 hours

Answer:

-5X+2Y-2

Step-by-step explanation:

-5X-7-2+2Y+7

-5X-2+2Y

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                               PEACE!

Answer:

[tex]\frac{x^{3} }{4y^{5} }[/tex]

Step-by-step explanation:

Simplifica la expresión

Answer:

(- 4, 17 ) and (2, - 1 )

Step-by-step explanation:

Given the 2 equations

y = x² - x - 3 → (1)

y = - 3x + 5 → (2)

Substitute y = x² - x - 3 into (2)

x² - x - 3 = - 3x + 5 ( subtract - 3x + 5 from both sides )

x² + 2x - 8 = 0 ← in standard form

(x + 4)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 4 = 0 ⇒ x = - 4

x - 2 = 0 ⇒ x = 2

Substitute these values into (2) for corresponding values of y

x = - 4 : y = - 3(- 4) + 5 = 12 + 5 = 17 ⇒ (- 4, 17 )

x = 2 : y = - 3(2) + 5 = (- 6 + 5 = - 1 ⇒ (2, - 1 )

Answer:

4 cm

Step-by-step explanation:

The volume (V) of milk in the container is

V = 8 × 5 × 12 = 480 cm³

The volume remains the same whatever the position of the container.

let d be the depth then

8 × 15 × d = 480

120d = 480 ( divide both sides by 120 )

d = 4 cm

Answer:

A=48.81

Step-by-step explanation:

it is a right angle triangle find the hypotenuse c using Pythagorean theorem:

c²=a²+b²

c²=8²+7²

c=√64+49

c=10.63

sin A =opp/hyp

sin A=8/10.63

A=  48.81

another way :

tan A=opp/adj

tan A=8/7

A=48.81

Answer:

1 / x^12

Hope this helped!!!

Answer: c)

Answer:

1 / x^12

Answer:

i can only do the question no 1, 5 ,6, 7

hope it'll help you and my answers are correct

:)

Answer: C

Step-by-step explanation:

The costs of a pack of pasta, a pack of noodles, and a pack of split peas are Pasta: $0.99 per pack, Noodles: $0.25 per pack, Split peas: $1.47 per pack

Answer:

I answered your question . Hope this helps.

Answer:

Each slice of pizza cost:

$1.63

Step-by-step explanation:

4.89/3 = 1.63

Answer:

$1.63

Step-by-step explanation:

We want to find the cost per slice of pizza. Therefore, we must divide the total cost by the number of slices of pizza.

cost / slices

It costs $4.89 for 3 slices.

$4.89 / 3 slices

Divide 4.89 by 3 (4.89/3=1.63)

$1.63 / slice

The cost of each slice of pizza is $1.63

Answer:

12y-14

Step-by-step explanation:

we expand first and doing that we get

5y+15+7y-35+6

12y-14

2(6y-7)

Step-by-step explanation:

5(y+3) + 7(y-5) +6

5y+15+7y-35+6

5y+7y+15-35+6

12y-14

y= -14-12

y= +26

Answer: 54.29%

Step-by-step explanation:

Given: The probability that they  will win both games is 38%.

i.e. P( both games will win) =0.38

The probability that they will win just the first game is  70%.

P(first game will win) = 0.70

To find : P(second game will win| first game will win)

Using formula: [tex]P(B|A)=\dfrac{P(\text{both A and B})}{P(A)}[/tex]

So, P(second game will win| first game will win) = [tex]\dfrac{\text{ P( both games will win)}}{\text{P(first game will win)}}[/tex]

[tex]=\frac{0.38}{0.70}\approx0.5429=54.29\%[/tex]

Hence, the required probability = 54.29%

Answer:

Step-by-step explanation:

Let's solve :

[tex] \mathsf{ \: people \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:time \: ( \: in \: minutes)}[/tex]

[tex] \mathsf{12 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: 1 \: hour \: = \: 60 \: minutes }[/tex]

[tex] \mathsf{5 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: t }[/tex]

The amount of time needed for completion is inversely proportional to the number of people working on the orchard. Let t be the amount of time ( in minutes ) needed when there are 5 people working.

[tex] \mathsf{ \frac{12}{5} = \frac{t}{60} }[/tex]

Apply cross product property

[tex] \mathsf{5t = 12 \times 60}[/tex]

Multiply the numbers

[tex] \mathsf{5t = 720}[/tex]

Divide both sides of the equation by 5

[tex] \mathsf{ \frac{5t}{5} = \frac{720}{5} }[/tex]

Calculate

[tex] \mathsf{t = 144 \: minutes}[/tex]

Hope I helped!

Best regards!!

It will take five people 144 minutes to paint the orchard.

12 people can paint the orchard in one hour, which is 60 minutes.

If there are five people, it will take them 12 × 60 / 5 = 144 minutes to paint the orchard.

So the answer is 144

Here's the explanation:

We know that the number of people and the time it takes to paint the orchard are inversely proportional. This means that if we increase the number of people, the time it takes to paint the orchard will decrease.

We can also set up a proportion to find the time it takes five people to paint the orchard. The proportion will look like this:

12 people : 5 people :: 60 minutes : x minutes

Cross-multiplying, we get:

12 × x = 5 × 60

x = 5 × 60 / 12

x = 144 minutes

Therefore, it will take five people 144 minutes to paint the orchard.

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Answer:

B

Step-by-step explanation:

So we have a table of values of a used car over time. At year 0, the car is worth $20,000. By the end of year 8, the car is only worth $3400.

We can see that this is exponential decay since each subsequent year the car depreciates by a different value.

To find the rate of change the car depreciates, we simply need to find the value of the exponential decay. To do this (and for the most accurate results) we can use the last term (8, 3400).

First, we already determined that the original value (year 0 value) of the car is 20,000. Therefore, we can say:

[tex]f(t)=20000(r)^t[/tex]

Where t is the time in years and r is the rate (what we're trying to figure out).

Now, to solve for r, use to point (8, 3400). Plug in 8 for t and 3400 for f(t):

[tex]3400=20000(r)^8\\3400/20000=17/100=r^8\\r=\sqrt[8]{17/100}\approx0.8[/tex]

In other words, the rate of change modeled by the function is 0.8.

As expected, this is exponential decay. The 0.8 tells us that the car depreciates by 20% per year.

Answer:

1/4

Step-by-step explanation:

What is the ratio of the length of to DE the length of BC

The perimeter of a sector is given by:

P = [tex]\frac{\theta}{360}**2\pi r[/tex]

Where [tex]\theta[/tex] is the angle it subtends from the center and r is the radius of the circle.

For Sector ADE, the radius (r) = r/2 and the angle  [tex]\theta[/tex]  = β. Therefore:

Perimeter of DE = [tex]\frac{\beta}{360}**2\pi (\frac{r}{2} )=\frac{\beta}{360}(\pi r)[/tex]

For Sector ABC, the radius (r) = r and the angle  [tex]\theta[/tex]  = 2β. Therefore:

Perimeter of BC = [tex]\frac{2\beta}{360}**2\pi r=\frac{2\beta}{360}(2\pi r)=\frac{\beta}{360}*(4\pi r)[/tex]

The ratio of the length of to DE the length of BC =

Answer:

1/4

Step-by-step explanation:

Answer:

The correct answer is

D) e and l

Answer:

2.25 km to go

Step-by-step explanation:

In order to get this answer, you have to figure out how many km 10% is, 0.1125. Then multiply that by the remaining 20% because he already finished 80% of the trail. So, 0.1125 x 20 = 2.25.

Hope this helps! :)

Answer:

Step-by-step explanation:

The expression 4 raised to 4 can be written in mathematical term as [tex]4^4[/tex] and this means the value of 4 in four places as shown;

[tex]4^4\\\\= 4 * 4* 4* 4\\\\= (4 * 4)* (4* 4)\\\\= 16*16\\\\= 256\\\\[/tex]

Hence the expression 4 raised to 4 is equivalent to 256

Answer:

1) Please find attached the box and whiskers chart created with Excel

2) The conclusions are;

a) The measure of central tendency (the mean and the median) are approximately equal,

b) The standard deviation for the first five data points is 14.17 while the standard deviation for the whole ten data points is 23.99 as such the data values appeared more clustered at the center and show wider spread towards right ends of the chart

Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed

Step-by-step explanation:

The given data is as follows;

1,    2,    3,    4,   5,    6,    7,    8,    9,    10

15, 18,   22,  32, 50, 50,  55, 56,  81,    81

The first quartile Q₁ = 22

The second quartile, Q₂ (Median) = 50

The third quartile, Q₃ = 56

The interquartile range IQR = 56 - 22 = 34

The minimum value = 15

The maximum value = 81

The mean = 46

The standard deviation = 23.99

Therefore, the measure of central tendency (the mean and the median) are approximately equal,

The data values appeared more clustered at the center and show wider spread towards the left and right ends of the chart

The standard deviation for the first five data points is 14.17 while the standard deviation for the last five data points is

Due to the lack of correlation between the standard deviation and the five data values, the data is not uniformly distributed.

Answer:

4

Step-by-step explanation:

The distance between the center are  the foci located 8 units.

It is required to find  the focus is c.

A closed plane curve generated by a point moving in such a way that the sums of its distances from two fixed points is a constant.

Given that:

The length of the major axis is 2a,  

length of the major axis

2a=10

a=5

The length of the minor axis is 2b.

Length of the minor axis

2b=6

b=3

The distance between the center and either focus is c,

c^{2} =a^{2} -b^{2}

c^{2} =5^{2} -3^{2}

c^{2} =25-9

c=8

So, the distance between the center are  the foci located 8 units.

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