what is measure of angle P?

Answer:

The width of the drawer is [tex]15\ in[/tex]

Step-by-step explanation:

we know that

The volume of the drawer is equal to

[tex]V=LWH[/tex]

we have

[tex]L=15\ in[/tex]

[tex]H=5\ in[/tex] -----> the deep of the drawer

[tex]V=1,125\ in^{3}[/tex]

substitute the given values in the formula and solve for W

[tex]1,125=(15)(W)(5)[/tex]

[tex]1,125=(75)(W)[/tex]

[tex]W=1,125/(75)[/tex]

[tex]W=15\ in[/tex]

Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

The population of a bacterial colony that doubles every 25 hours will increase exponentially. In this case, starting from a population of 10,000 bacteria, after 75 hours, we will have 80,000 bacteria. This demonstrates the concept of exponential growth commonly seen in bacteria.

The population of a bacterial colony that doubles every 25 hours follows an exponential growth model. This process is where the increasing rate is proportional to the current scope, leading to continued growth. If we start with a colony of 10,000, after 25 hours, we will have 20,000 bacteria. After another 25 hours, this will double again to 40,000. And after a final 25 hours, we double the number again to 80,000.

Here are the calculations:

This demonstrates the concept of exponential growth commonly seen in the bacteria populations. The growth rate increases over time due to the characteristic of bacteria to divide and reproduce, leading to a rapid increase in their numbers.

https://brainly.com/question/12490064

#SPJ3

Answer:

Can't really show a graph but I'll explain how to:

Step-by-step explanation:

Plot the point (0,-2) since -2 is the y=intercept. After, just count-down 1 unit and count 5 units to the right. I hoped this helped!

Answer:

True

Step-by-step explanation:

Each time a spinner is spun, there is an equal chance that each result will occur, thus each of these spins are independent.

The answer is true

Hope this helped

Answer:

3.71 miles farther.

Step-by-step explanation:

To answer this, subtract 3  5/8 miles from 7  1/3 miles:

22/3 - 29/8 (miles)

Here the LCD is 24.  Thus, we have:

176      87                       89

------ - ------  (miles), or -------  (miles)

24       24                       24

Arun has to walk another 89/24 miles, or 3.71 miles.

Check:  do 3  5/8 miles and 3.71 miles add up to 7  1/3 miles?  Yes, approximately.

Arun has 89/24 miles left to walk to reach his friend's house.

Arun decided to walk 7 1/3 miles to his friend's house. After walking 3 5/8 miles, he stopped to rest. To calculate how much farther Arun has to walk to reach his friend's house, we subtract the distance he has already walked from the total distance he needs to walk.

The total distance to his friend's house: 7 1/3 miles = 7 + 1/3 = (7 × 3 + 1)/3 = 22/3 miles.

Distance already walked: 3 5/8 miles = 3 + 5/8 = (3 × 8 + 5)/8 = 29/8 miles.

To find the remaining distance, we subtract 29/8 miles from 22/3 miles:

First, find a common denominator for the fractions, which is 24. Convert both fractions: 22/3 × 8/8 = 176/24 and 29/8 × 3/3 = 87/24.

Now subtract the distances: 176/24 - 87/24 = 89/24 miles.

Therefore, Arun has 89/24 miles left to walk to reach his friend's house.

Answer:

A

Step-by-step explanation:

1. Line l is cut by line a (let it be named a, because the figure doesn't show its name). Angles 1 and 6 are vertical, so they are congruent.

2.  Line m is cut by line a. Angles 3 and 8 are vertical, so they are congruent.

3. Parallel lines l and m are cut by transversal a. Angles 6 and 3 are congruent as alternate interior angles.

Hence,

[tex]3x+25=4x-17,\\ \\3x-4x=-17-25,\\ \\-x=-42,\\ \\x=42^{\circ}.[/tex]

4. The measure of angle 6 is

[tex]3x+25=3\cdot 42+25=126+25=151^{\circ}.[/tex]

5. Angles 6 and 2 are supplementary angles, so they add up to 180°:

∠2=180°-∠6=180°-151°=29°

Answer:

8

Step-by-step explanation:

If you cut one apple pie in half, then you have two halves. Do the same with the other 3 pies and you will have 8 halves of the pie to give to neighbors.

Answer: 192

Step-by-step explanation: 6 inches times 2 is a foot. 12 times 2 is 24 tiles across the top times 8 rows. 24 times 8 is 192

16

Because 8x12=96 and 96/6= 16

Answer:

Snowboard can be purchased for the lowest price from Store C offering 40% discount.

Step-by-step explanation:

We need to compare discounts of 3 stores and find the store selling snowboard lowest of them.

Store A: Sale of 30% off and a successive discount of 10% off.

The formula used for successive discount is = (x+y - xy /100)%

here x= 30 and y =10 so total discount is:

Total discount = ( 30 +10 - (30*10)/100)%

                       = (40 - 300/100) %

                       = (40 -3) % = 37%

Original price = $189.59

Discount offered = 37% of $189.59

                            = 37/100 * 189.59 = $70.15

Selling Price = Original price - Discount offered

                     = $189.59 - $70.15

                     = $ 119.44

Store B: Sale of 20% off and a successive discount of 20% off.

The formula used for successive discount is = (x+y - xy /100)%

here x= 20 and y =20 so total discount is:

Total discount = ( 20 +20 - (20*20)/100)%

                       = (40 - 400/100) %

                       = (40 -4) % = 36%

Original price = $189.59

Discount offered = 36% of $189.59

                            = 36/100 * 189.59 = $68.25

Selling Price = Original price - Discount offered

                     = $189.59 - $68.25

                    = $ 121.34

Store C: Sale of 40% off.

Original price = $189.59

Discount offered = 40% of $189.59

                            = 40/100 * 189.59 = $75.84

Selling Price = Original price - Discount offered

                     = $189.59 - $75.84

                    = $ 113.75

So, Store A Sale price is: $ 119.44

Store B Sale price is: $ 121.34

and Store C Sale price is: $ 113.75

So, Comparing them we found that snowboard can be purchased for the lowest price from Store C offering 40% discount.

Answer:

store c

Step-by-step explanation:

Answer:

96 in²

Step-by-step explanation:

The surface area of the square pyramid is the area of the square base plus the area of the four triangular faces.  The slant length is the height of each triangle.

A = s² + 4 (½ sL)

A = s² + 2sL

Given s = 6 and L = 5:

A = (6)² + 2(6)(5)

A = 36 + 60

A = 96

The area that needs to be painted is 96 in².

The correct answer is B. 4/5. Hope this helps! : )

Answer:

1/5

Step-by-step explanation:

it said so in usa testprep and i hope this helps you! ^-^

Answer:

C

Step-by-step explanation:

The multiples of 9 are : 9, 18, 27, 36, 45, 54, 63,......

The multiples of 15 are : 15, 30, 45, 60, 75, ........

The LCM of 9 and 15 is 45

C is the most reasonable answer

18² is the same as saying 18 * 18, which is 324

i believe its 803.84

Answer:

1.  unimodal

2. bimodal

3. skewed right

4. skewed left

5. uniform

6. random

Step-by-step explanation:

Answer:

1) Uni-modal 2) Bi-modal 3) Skewed right 4) Skewed left 5) Uniform 6) Random  

Step-by-step explanation:

We are given the following information in the question:

1) Since we can see in the graph, there is one observation with highest frequency. Thus, this graph represents a uni-modal data

2) It s clearly seen that there are two values with highest frequencies. These two observations can be treated as the mode of the data. Thus, there are two modes. Thus, the graph represents a bi-modal data.

3) We can see that most of the data lies on the left side of data and very less data is there on the left tail. Hence, the graph is positively skewed or skewed on the right.

4) We can see that most of the data lies on the right side of data and very less data is there on the right tail. Hence, the graph is negatively skewed or skewed on the left.

5. Since all the observations are very close to each other almost equal we could say that the data have a uniform distribution.

6. The above data set have a random distribution since no pattern are observed.

Answer:

y=4x+13  or y-5=4(x+2)

Step-by-step explanation:

we know that

The equation of the line into point slope form is equal to

y-y1=m(x-x1)

In this problem we have

m=4

(x1,y1)=(-2,5)

substitute

y-5=4(x+2) ----> equation of the line into point slope form

Convert to slope intercept form

y-5=4x+8

y=4x+8+5

y=4x+13 ----> equation of the line into slope intercept form

190.18 is the average balance

Answer:

The answer is $190.18

Step-by-step explanation:

When we calculate the average daily balance, we total the balance from each day in the billing cycle and divide the total by the number of days in the cycle. Here the billing cycle is given for July that has 31 days.

Lets calculate each days amount.

Opening balance from 1st July to 7th July = $209.53

So, it is a total of 7 days; amount is [tex]209.53\times7=1466.71[/tex]

On 8th July a payment of $50 is made making the amount

[tex]209.53-50=159.53[/tex]

So, from 8th July to 15th July (8 days), the balance was $159.53 making a total of [tex]159.53\times8=1276.24[/tex] dollars

On 16th July a charge of $20 was added, so from 16th July to 23 July (8 days), the amount became = [tex](159.53+20)\times8=1436.24[/tex] dollars

On 24th July additional charge of $35 was added and the period it remained same was till 31st July, making it 8 days.

So, amount is = [tex]214.53\times8=1716.24[/tex] dollars

Now adding all the charges we get;

[tex]1466.71+1276.24+1436.24+1716.24= 5895.43[/tex] dollars

Now we will divide this by 31 days to get the average daily balance.

[tex]\frac{5895.43}{31}=190.175[/tex]  ≈ $190.18

Answer:

(A) 180

Step-by-step explanation:

We have to treat those player selections as independent events, since one doesn't influence the other (the fact you chose Joe as a guard, shouldn't have an influence on who'll pick as center, unless there's bad blood between some players... but that's a whole other story).

So, how many ways to pick 2 guards from a selection of 4?  The order doesn't seem to matter here, since they don't specify for example that Joe can only play on the left side).  So, it's a pure combination calculation:

[tex]C(4,2) = \frac{4!}{2! * (4 - 2)!} = \frac{24}{2 * 2} = 6[/tex]

C(4,2) = 6.

How many ways to pick the 2 forwards from a group of 5?  Using the same calculation, we get:

C(5,2) = 10.

And of course, the coach has 3 ways to pick a center player from 3.

Then we multiply the possible ways to pick guards, forwards and center...

6 * 10 * 3 = 180 ways.

Answer:

   1

---------

  x^3

Step-by-step explanation:

The proper way to write this is with parentheses:  x^(-3).

If you wish to eliminate the negative exponent, rewrite this x^(-3) as

   1

---------

  x^3

Answer:

$3

Step-by-step explanation:

4 / 12 = 3

Answer:

3

Step-by-step explanation:

You Divide $12.00 / 4 And Get You Answer As 3 :)

Answer:

Option D) This plot shows a negatively skewed data          

Step-by-step explanation:

We are given the four distributions.

We have to find those which are negatively skewed.

Negatively Skewed Distribution:

A) The given plot shows a normal distribution as the maximum values lie around the mean.

B) The given histogram shows a normal distribution as the maximum values lie around the mean.

C) The given box and whisker plot shows a positively skewed data due to tail on the right side.

D) This plot shows a negatively skewed data as most of the data lies on the right side and a tail could be seen on left side due to less data on left side.

Answer:

a.) 14:6

b.) 6:8

Hope this helped!

Step-by-step explanation:

Answer:

see rexplanation

Step-by-step explanation:

A

There are a total of 14 marbles of which 8 are red and 6 are blue

ratio of all : blue = 14 : 6 = 7 : 3 ← in simplest form

B

ratio of blue : red = 6 : 8 = 3 : 4 ← in simplest form

Answer:

3.)

Step-by-step explanation:

Answer

0

Solution

6x+6x=12-12

12x=0

X=0

Answer: $25

Step-by-step explanation: 2/3 of $300 is $200. 1/4 of $300 is $75. The total money she used is $275. $300-$275= $25.

Answer:

$75

Step-by-step explanation:

2/3 of 300 is 200 which means $100 bucks is left and 1/4 on food is $25 so what is left over is $75

Answer:

C

Step-by-step explanation:

Solving the inequality

[tex]\frac{1}{2}[/tex] x - 2 > 0 ( add 2 to both sides )

[tex]\frac{1}{2}[/tex] x > 2 ( multiply both sides by 2 )

x > 4

Since greater than 4 we want a number line with an open circle at 4, indicating x is not equal to 4 and arrow pointing to the right.

Hence C

Answer:

The statement which not true is (A)

Step-by-step explanation:

* At first lets revise the volume of the cone and the cylinder

- The cone has circular base and one vertex

- Its height is the line joining the vertex and the center of the base

- Its volume is 1/3(BH), where B is the area of its base and H is its height

- The cylinder has two circular bases

- Its height the line joining between the centers of the two bases

- Its volume = BH, where B is the area of its base and H is its height

* Now lets solve the problem

- The ice cream cup is shaped cylinder with diameter 3 inches

  and height 3 inches

- The ice ream cone is shaped a cone with diameter 4 inches

  and height 6 inches

* Lets find the volume of the ice cream cup

- The volume of the ice cream cup = BH

∵ B = πr² ⇒ area the circle

∵ Its diameter is 3 inches

∵ The radius = 1/2 the diameter

∴ r = 3 × 1/2 = 1.5 inches

∴ B = π(1.5)² = 2.25π inches²

∵ H = 3 inches

∴ V = 2.25 × 3 = 6.75π inches³

* Lets find the volume of the ice cream cone

- The volume of the ice cream cone =1/3 BH

∵ B = πr² ⇒ area the circle

∵ Its diameter is 4 inches

∵ The radius = 1/2 the diameter

∴ r = 4 × 1/2 = 2 inches

∴ B = π(2)² = 4π inches²

∵ H = 6 inches

∴ V = 1/3 × 4π × 6 = 8π inches³

* Lets find the right answer

# (A)

∵ The volume of 24-pack of ice ream cups = 24 × 6.75π = 162π inches³

∵ The volume of 21-pack of ice ream cones = 21 × 8π = 168π inches³

∵ 162π < 168π

∴ (A) Not true

# (B)

∵ The volume of 12-pack of ice ream cups = 12 × 6.75π = 254.5 inches³

∵ 254.5 inches³ > 250 inches³

∴ (B) is true

# (C)

∵ The volume of 14-pack of ice ream cons = 14 × 8π = 351.9 inches³

∵ 351.9 inches³ > 350 inches³

∴ (C) is true

# (D)

∵ The volume of 12-pack of ice ream cups = 12 × 6.75π = 81π inches³

∵ The cylinder container has height = 8 inches

∵ The cylinder container had diameter = 6 inches

∴ its raduis = 1/2 × 6 = 3

∵ The volume of the cylinder container = BH

∵ B = πr² = π(3)² = 9π

∴ Its volume = 9π × 8 = 72π

∵ 81π > 72π

∴ (D) is true

* The statement which not true is (A)

Answer:

6*2/3 = 12/3 = 4

Step-by-step explanation:

For this case we have a total of 6 cups of berries and per serving of salad we use [tex]\frac {2} {3}[/tex]of cups.

Let "x" be the variable that represents the portions of fruit salad that can be made, then, to find it we divide the number of cups of berries among the amount that is used for a portion:

[tex]x = \frac {6} {\frac {2} {3}} = \frac {6 * 3} {2 * 1} = \frac {18} {2} = 9[/tex]

Thus, 9 portions of salad can be prepared.

Answer:

9 portions

Answer:

No diagram and no explanation what 9 is.

However, if it is an octagon with each side equal to 9 then

area = (# of sides * side^2) / (4 * tan (180 # of sides))

area = 8 * 9 * 9 / (4* tan (180 / 8)

area = 648 / 4 * 0.41421

area = 391.1059607446

answer is C

Step-by-step explanation:

The area of the considered octagon which has distance from its center to the vertex of 9 m is given by: Option b). 229.1 m²

If the regular octagon has sides of 'a' units, then its area is:

[tex]A = 2(1+\sqrt{2})a^2 \: \rm unit^2[/tex]

Consider the attached figure below (second figure too).

If we find the value of 'a', then we can use the above formula.

Since there are 8 equal sides in a regular octagon, the angle from center to each of the side is full angle / 8 = 360/8 = 45 degrees.

Since the angle OA is perpendicular on BC, due to symmetry, we have the angle BOC divided into 2 parts.

Thus, we get:

m∠AOB = 45/2 degrees = 22.5°

Using the sine ratio from the perspective of angle AOB, we get:

[tex]\sin(m\angle AOB) = \dfrac{|AB|}{|OB|}\\\\\sin(22.5^\circ) = \dfrac{a/2}{9}\\\\a \approx 2 \times 9 \times 0.38268 \approx 6.888[/tex] meters

(since length of AB is half of length of BC, which is 'a' units).

Thus, we get:

[tex]A = 2(1+\sqrt{2})a^2 \approx 2(1+\sqrt{2})(6.888)^2 \approx 229.1\: \rm m^2[/tex]

Thus, the area of the considered octagon which has distance from its center to the vertex of 9 m is given by: Option b). 229.1 m²

Learn more about area of a regular octagon here:

https://brainly.com/question/858868

Answer:

95 miles more.

Step-by-step explanation:

There are 365 days in the normal year.

Walking 3 miles daily for a year thus comes to (3 miles/day)(365 days) =

1095 miles total per year.  This is Answer A:  95 miles more than 1000 miles.

Answer:

95 miles

Step-by-step explanation: