Philip can make 125 baskets in 12 days, while Mon can make 132 baskets in 8 days. How many more baskets Philip can make than Mon?

Answer:

D

Step-by-step explanation:

First multiply by t

at = vf -vi

Then subtract vf

at - vf = -vi

Then multiply by -1

Vi = vf - at

Answer:

Step-by-step explanation:

Given:

m∠NPT = m∠TNM = 50°

To prove:

ΔNMT ~ ΔPMN

Solution:

                 Statements                           Reasons

1). m∠NPT = m∠TNM                      1). Given

2). ∠NMP ≅ ∠NMP                         2). Reflexive property

3). ΔNMT ~ ΔPMN                          3). By AA property of similarity of two

                                                            triangles

Linearization is the idea in calculus where if you zoom in really close onto a section of the graph, the curve and the tangent line will be extremely similar to each other.

We can use this idea and approximate nearby values to the tangent line.

The parent graph of a square root function is [tex]f(x)=\sqrt{x}[/tex].

There are two methods in which we can calculate the approximate value of [tex]\sqrt{101}[/tex] by using linearization techniques.

Let's use the nearest perfect square to [tex]\sqrt{101}[/tex], which is [tex]\sqrt{100}[/tex]. When drawing the graph of the square root function, we use the point (100, 10) because where x = 100, y = 10 on a square root function.

Now, we have a point that the tangent line passes through, and we want to find the slope.

We can do so by taking the derivative of [tex]f(x) =\sqrt{x}[/tex].

Plug in x = 100 to find the slope of the tangent line here.

The slope of the tangent line at x = 100 is 1/20. Now, we can use the point and the slope of the tangent line to determine the equation for the tangent line.

(100, 10), m = 1/20

Point-slope equation:

To find the value of y at x = 101, plug this into the tangent line equation.

201/20 is equal to 10.05. Let's estimate the error of this calculation to the actual value of [tex]\sqrt{101}[/tex], inputted into a calculator.

We get [tex]\sqrt{101}=10.04987562[/tex], which is extremely close to 10.05. Our estimate using linearization only has an error of 0.00012.

You may have noticed that the first method uses little calculus, apart from taking the derivative of f(x).

The more "calculus-y" method involves finding the change in y in terms of the change of x.

We know that dy/dx is the the change in y due to a change in x, so we can use this to find the change in y when x = 101.

Solve for dy by mutliplying dx to both sides of the equation.

The change in x is 1, because 101 - 100 = 1.

We want to find the change in y when x = 100, and has a change of 1. Therefore, we have:

Plug these values into the equation [tex]dy=\frac{1}{2\sqrt{x} } \cdot dx[/tex] and solve for dy.

The change in y when x = 100 with a change of 1 is 1/20. We know when x = 100 the y-value is 10. Therefore, when x = 101, the change in y is 1/20, so y = [tex]10\frac{1}{20} = \frac{201}{20} = 10.05[/tex].

You can see that we get the same answer with either method.

Answer:

The area of regular polygon with 9 sides is 405 square inches.

Step-by-step explanation:

Given

Perimeter of Polygon = P = 135 inches

Apothem = a = 6 inches

We know that the sides of regular polygon are equal. Let s be the side of the polygon then

[tex]P = 9*s\\135 = 9*s\\s = \frac{135}{9}\\s = 15\ inches[/tex]

Now the formula for area of polygon when apothem, sides and number of sides is known:

[tex]A = \frac{a*n*s}{2}\\A = \frac{6*9*15}{2}\\A=\frac{810}{2}\\A = 405\ in^2[/tex]

Also the formula can be written as:

[tex]A = \frac{1}{2}P*a[/tex]

Hence,

The area of regular polygon with 9 sides is 405 square inches.

Answer:

Step-by-step explanation:

11 a).

20x + 5 + 24x - 1 = 180

44x = 176

x = 176 / 44

x = 4

b). 6x = 5x + 10

x = 10

Answer:

The student scores 20 pts

Step-by-step explanation:

A student answers 10 Q's correct, this earns the student 30 points (3 x 10)

The other 5 Q's are presumably wrong since they did answer the question

If every question wrong loses 2 pts then the student lost 10 points from wrong answers (2x5) =10

Take the total amount of secured points and subtract the points for questions that the student got wrong

30 pts - 10 pts = 20 pts

Answer:

20

Step-by-step explanation:

15 questions answered

10 are correct so they get 30 or 3*10

5 are incorrect so the get a -10 or -2*5

Total score is 30-10 or 20

Answer:

$1226.78<x<$1301.22

Step-by-step explanation:

The formula for calculating confidence interval is expressed as;

CI = xbar ± z×(s/√n)

Given

Mean (xbar) = $1264

z is the z score at 90% CI = 1.645

s is the standard deviation = $150

n is the sample size = 44

Substitute

CI = 1264±1.645(150/√44)

CI = 1264±1.645(150/6.63)

CI = 1264±1.645(22.624)

CI = 1264±37.22

CI = (1264-37.22, 1264+37.22)

CI = (1226.78, 1301.22)

Hence the confidence interval of the mean is $1226.78<x<$1301.22

Answer:

16

Step-by-step explanation:

i would try but not 100% sure

Answer:

You would have to rent 10 movies for the cost to be the same.

Step-by-step explanation:

20+1.5x=3.5x

-1.5x on both sides

20=2x

x=10

Answer:

You would have to rent 8 movies at the first store and 10 movies at the second

Step-by-step explanation:

Answer: [tex]y=-x-5[/tex]

Step-by-step explanation:

Slope intercept form is [tex]y=mx+b[/tex], so we have to find a way to substitute the given information into the equation. We have [tex]m[/tex] because it gives us the slope.  The slope is -1, as the directions state. Now, we substitute it in and solve for b:

After getting the y-intercept, you have the full equation!

Answer:

let's hope for the best ....XD

Answer:

ummmm....iam sorry I tried but failed ,umm...I think he got your answer see from there!! sorry!!

Answer:

b

Step-by-step explanation:

9514 1404 393

Answer:

  b.  The cost of orange juice is $3 per jug.

Step-by-step explanation:

A "unit rate" is a rate that is "per <single item>" The rates given are per the following numbers of items:

  a: 3

  b: 1 . . . a unit rate

  c: 10

  d: 2 (dozen) or 24 (single roses)

The rate of selection B is the only unit rate.

Answer:

o37%

Step-by-step explanation:

3/8 is 37%, 4/8 is 50% because it's half full, for eights just go up 13, or subtract 13, it's a little hard for me to explain, sorry

Answer:

Step-by-step explanation:

- 2 ≤ x ≤ 1

x ∈ [ - 2 , 1 ]

Answer:

How we will solve:

- 2 ≤ x ≤ 1

x ∈ [ - 2 , 1 ]

Answer:

3 3/8

Step-by-step explanation:

U multiply 2 1/4 times 1 1/2 and it equals 3 and 3/8

Answer:

[tex]-32x^5+320x^4-1280x^3+2560x^2-2560x+1024[/tex]

Step-by-step explanation:

We must expand [tex](-2x+4)^5[/tex] using the Binomial Theorem.

To do so, we need Pascal's Triangle. Seeing that the exponent is 5, we look at the 5 + 1 = 6th row of Pascal's Triangle. The numbers here are:

1, 5, 10, 10, 5, 1

These will be the numbers to multiply all the distinct terms in the expansion by.

Remember that when expanding this out, we always start by taking the first term (-2x here) to the nth power (here, it's 5th power) and multiplying that by the second term (4 here) to the 0th power:

(-2x)^5 * 4^0 = -32x^5 * 1 = -32x^5

Since this is our first term, we multiply it by the first Pascal number from above: 1. Then, we simply get -32x^5 as our final first term of the expansion.

We repeat this process, each time lowering the first power by 1 and increasing the second power by 2.

2nd term:

(-2x)^4 * 4^1 = 16x^4 * 4 = 64x^4

Multiply by 5:

64x^4 * 5 = 320x^4

3rd term:

(-2x)^3 * 4^2 = -8x^3 * 16 = -128x^3

Multiply by 10:

-128x^3 * 10 = -1280x^3

4th term:

(-2x)^2 * 4^3 = 4x^2 * 64 = 256x^2

Multiply by 10:

256x^2 * 10 = 2560x^2

5th term:

(-2x)^1 * 4^4 = -2x * 256 = -512x

Multiply by 5:

-512x * 5 = -2560x

6th term:

(-2x)^0 * 4^5 = 1 * 1024 = 1024

Multiply by 1:

1024 * 1 = 1024

Hence, our expansion is:

[tex]-32x^5+320x^4-1280x^3+2560x^2-2560x+1024[/tex]

Answer:

Equal to

Step-by-step explanation:

If you think of both numbers compared to 1 whole then they can be converted to each other.  

Answer:

Since the profit is positive, Rebotar not only broke even, they had earnings.

Step-by-step explanation:

Function Modeling

The costs, incomes, and profits of Rebotar Inc. can be modeled by means of the appropriate function according to known conditions of the market.

It's known their fixed costs are $3,450 and their variable costs are $12 per basketball produced and sold. Thus, the total cost of Rebotar is:

C(x) = 12x + 3,450

Where x is the number of basketballs sold.

It's also known each basketball is sold at $25, thus the revenue (income) function is:

R(x) = 25x

The profit function is the difference between the costs and revenue:

P(x) = 25x - (12x + 3,450)

Operating:

P(x) = 25x - 12x - 3,450

P(x) = 13x - 3,450

If x=300 basketballs are sold, the profits are:

P(300) = 13(300) - 3,450

P(300) = 3,900 - 3,450

P(300) = 450

Since the profit is positive, Rebotar not only broke even, they had earnings.

Answer:

D

Step-by-step explanation:

Answer:

y = x^2+2x+1

Step-by-step explanation:

x^2+2x+1

= (x+1)^2

Answer:

The correct answer is y = x2+ 2x+ 1 − 1− 1

The blank spaces are positioned here for the problem:

y=x2+2x+___-1-___

I just did the assignment on Edge and got it correct.

Hope this helped!

Answer:

6 is in ten place and its place value is 60, 3 is in ones place and its place value is 3.

Answer:

The answer is B, or the second one

Step-by-step explanation:

Answer:

Sometimes you have to think a little out of order to do this type of problem.... but here goes an explanation.

Step-by-step explanation:

8 is less than looks like this:        8 <

6 more than looks like this:          +6

3 times a number x is:                 3x

So

8 < 3x+6 meets the criteria

The inequality will be 8 < 3x+6 if the 8 is less than 6 more than 3 times a number x; the answer is 8 < 3x+6.

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

It is given that:

The sentence as an inequality 8 is less than 6 more than 3 times a number x:

From the question:

Here x is any real number:

The inequality will be:

8 < 3x+6 which represents 8 is less than 6 more than 3 times a number x

Thus, the inequality will be 8 < 3x+6 if the 8 is less than 6 more than 3 times a number x; the answer is 8 < 3x+6.

Learn more about inequality here:

brainly.com/question/19491153

#SPJ2

Answer:

Step-by-step explanation:

Total = 12 + 6 + 6 = 24

Divided in 3 friends = 24 ÷ 3 = 8

Each should pay 8

Answer:

5|7 - 9| - 2 = 8

Answer:

Colour ---- Probability

Blue ----- 0.2

Red ------- 0.4

Yellow ------ 0.4

Step-by-step explanation:

Given

Colour ---- Probability

Blue ----- 0.2

Red -------

Yellow ------

Required

Complete the table

In probability, all probabilities add up to 1.

i.e.

[tex]P(Blue) + P(Red) + P(Yellow) = 1[/tex]

Substitute 0.2 for P(Blue)

[tex]0.2 + P(Red) + P(Yellow) = 1[/tex]

[tex]P(Red) + P(Yellow) = 1 - 0.2[/tex]

[tex]P(Red) + P(Yellow) = 0.8[/tex]

From the question, we understand that the frequency of yellow and red balls are the same.

Hence:

[tex]P(Red) = P(Yellow)[/tex]

[tex]P(Red) + P(Yellow) = 0.8[/tex] becomes

[tex]P(Red) + P(Red) = 0.8[/tex]

[tex]2P(Red) = 0.8[/tex]

Make P(Red) the subject

[tex]P(Red) = 0.4[/tex]

Recall that:

[tex]P(Red) = P(Yellow)[/tex]

Hence,

[tex]P(Yellow) = 0.4[/tex]

So, the complete table is:

Colour ---- Probability

Blue ----- 0.2

Red ------- 0.4

Yellow ------ 0.4

Answer:

D

Step-by-step explanation:

Sam should have bought 3.09 yards of fabric instead of 2.4 yards

So, Option D is correct.

Step-by-step explanation:

Total fabric needed by Sam = 2.75

According to directions on a sewing pattern they say to buy an extra 12.5%

So, extra fabric would be: 12.5% of 2.75

Solving

Now adding 0.343 into 2.75 to get extra fabric quantity:

2.75+0.343

=3.09

Therefore Sam should have bought 3.09 yards of fabric instead of 2.4 yards

So, Option D is correct.

Answer:

$2025

Step-by-step explanation:

Hope that helps!