What is the value of P for the following triangular prism?



36 cm
36 mm
10.8 cm
14.55 cm

Answer:

The constant of variation is

[tex]k= 5[/tex]

Step-by-step explanation:

First we must write the relationship as an equality.

If q varies inversely with the square of m, this means that when m ^ 2 increases then q decreases.

If q varies directly with the product of r and x this means that when r * x increases q increases.

Then the relationship is:

[tex]q = k\frac{rx}{m^2}[/tex]

Where k is the constant of proportionality

Then if:

[tex]q=2.5\\\\m=4\\\\r*x=8[/tex]

[tex]2.5 = k\frac{8}{4^2}[/tex]

We solve for k

[tex]2.5 = k\frac{8}{16}[/tex]

[tex]2.5 = k\frac{1}{2}[/tex]

[tex]k= 5[/tex]

Answer:

5

Step-by-step explanation:

C on edge

Answer:

The volume of the cylinder should be:

V = Bh = πr²h = 3.14 · 5² · 10 = 785 (mm³)

The volume of the sphere should be:

V = 4/3 · πr³ = 4/3 · 3.14 · 5² ≈ 523.33 (mm³)

=> The total volume of the composite figure is:

V = 785 + 523.33 = 1,308.33 (mm³)

Answer:

V = 785 + 523.33 = 1,308.33 (mm³)

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

The interquartile range is the value of quartile 3 minus quartile 1.

The "box" part of this diagram has 3 lines, the left most, the middle, and the rightmost.

The leftmost line is Quartile 1. The right most is Quartile 3.

Hence

interquartile range = quartile 3 - quartile 1

Looking at the box plot, we can see that each small line in the number line is 2 units.

The leftmost line (quartile 1 ) is at 1 unit left of 30, so that is 30 -2 = 28

The rightmost line (quartile 3) is at  1 unit right of 40, so that is 40 + 2 = 42

Hence,

Interquartile range = 42 - 28 = 14

Answer:

c: 14

Step-by-step explanation:

I see everyone saying it is B or D, but ITS C! The graph is counting by 2, so there fore it is 42-28= 14. :)

The best word that describes the degree of overlap between the two data sets is: low.

The degree of overlap between two sets of data can be described as the extent to which two data sets vary in terms of their centers.

In the diagram given, the two dot plots overlap between 30 and 35. The difference is minimal.

Therefore, the best word that describes the degree of overlap between the two data sets is: low.

Learn more about degree of overlap on:

https://brainly.com/question/12242330

Answer: The word that best describes the degree is B Low

Explanation: I took the test and it was right.

Hope ya'll have a good day :)

Answer:

C

Step-by-step explanation:

The problem is where does n start?

a1 = 1/2

a2 = 2*(a1) + 1/2

a2 = 2*(1/2) + 1/2

a2 = 1 + 1/2

a2 = 1 1/2

=========

a3 = 2*a2 + 1/2

a3 = 2*(1 1/2) + 1/2

a3 = 3 + 1/2

a3 = 3 1/2

==============

a4 = 2(3 1/2) + 1/2

a4 = 7 + 1/2

a4 = 7 1/2

==============

an = 2*a_(n-1) + 1/2

The answer is C

Answer:

C on edge my loves

Step-by-step explanation:

Answer: There are two answers to this x=3 and x=11

Step-by-step explanation:

Answer:  The correct option is (A). x = 3.

Step-by-step explanation:  We are given to find the solution of the following quadratic equation :

[tex](x-2)(x+10)=13.[/tex]

We have

[tex](x-2)(x+10)=13\\\\\Rightarrow x^2-2x+10x-20=13\\\\\Rightarrow x^2+8x-20-13=0\\\\\Rightarrow x^2+8x-33=0\\\\\Rightarrow x^2+11x-3x-33=0\\\\\Rightarrow x(x+11)-3(x+11)=0\\\\\Rightarrow (x-3)(x+11)=0\\\\\Rightarrow x-3=0,~~~x+11=0\\\\\Rightarrow x=3, -11.[/tex]

So, the solution of the given equation is x = 3 and x = -11.

Thus, the correct option is (A). x = 3.

Answer:

[tex]a =111.1\ m/s^2[/tex]

Step-by-step explanation:

The formula to calculate the average acceleration is:

[tex]a =\frac{s_2-s_1}{t_2-t_1}[/tex]

Where s is the speed of the object and t is the time it takes the object to change its speed [tex]s_1[/tex] to the speed [tex]s_2[/tex]

In this case we have that:

[tex]t_2-t_1 = 5\ sec[/tex]

[tex]s_1 = 500\ km/h = 500*\frac{1\ h}{3600\ s}*\frac{1000\ m}{1\ km}=138.89\ m/s[/tex]

[tex]s_2= 2500\ km/h = 2500*\frac{1\ h}{3600\ s}*\frac{1000\ m}{1\ km}=694.44\ m/s[/tex]

[tex]a =\frac{694.44-138.89}{5}\ m/s^2[/tex]

[tex]a =111.1\ m/s^2[/tex]

Answer:

10 square units

Step-by-step explanation:

We want to find the area under the curve [tex]f(x)=x+3[/tex] from x=1 to x=3.

We use definite integrals to find this area.

[tex]\int\limits^3_1 {x+3} \, dx[/tex]

We integrate to obtain:

[tex]\frac{x^2}{2}+3x|_1^3[/tex]

We evaluate the limits to get:

[tex]\frac{3^2}{2}+3(3)-(\frac{1^2}{2}+3(1))[/tex]

[tex]4.5+9-0.5-3=10[/tex]

Therefore the area under the curve from x=1 to x=3 is 10 square unit.

Answer:

f^-1(x) = (x - 2)/4 ⇒ 1st answer

Step-by-step explanation:

* Lets revise how to find the inverse function

- At first write the function as y = f(x)

- Then switch x and y

- Then solve for y

- The domain of f(x) will be the range of f^-1(x)

- The range of f(x) will be the domain of f^-1(x)

* Now lets solve the problem

∵ f(x) = 4x + 2

∴ y = 4x + 2 ⇒ switch x and y

∴ x = 4y + 2 ⇒ subtract 2 from both sides

∴ x - 2 = 4y ⇒ ÷ 4 both sides

∴ (x - 2)/4 = y

∴ f^-1(x) = (x - 2)/4

* f^-1(x) = (x - 2)/4

Answer: X is equal to 162

Step-by-step explanation:

You multiply the result of -18 by the -9 because these two would equal the number for X.

Negative times a negative is a positive.

Answer: 162

Equation: x / -9 = -18

Multiply both sides by -9

x / -9( -9 ) = ( -18 )( -9 )

Simplify (Multiply -18 by -9)

x = 162

Answer:

Hi the answer is 874.6

Step-by-step explanation:

1. Add all numbers to equal 1,045

2. Times the number by 12% so .12

to equal 125.4

3 subtract 125.4 by 1045 to equal 919.6

4. Times 9 by 5(the number of days) to equal 45

5. Finally subtract 45 by 919.6 to equal 874.6

Hope this helped. Have a great day!

The total profit of Vic for the five days of sales given the cost of ingredients and fuel is £874.60.

Total profit is the total revenue less total cost.

Total revenue = 225 + 260 + 230 + 180 + 150 = £1045

Cost of ingredients = 12% x 1045 = $125.40

Total fuel = £9 x 5 = £45

Profit = £1045 - £45 - £125,40 = £874.60

To learn more about profit, please check: https://brainly.com/question/26181966

Answer:

a = 12

Step-by-step explanation:

pythag. theorem.

a^2 + b^2 = c^2

a = ?

b = 1225

c = 1369

solve

uwu

Answer:

177 balls

Step-by-step explanation:

Let's start with the space we need for each sphere. If we approximate the value of the area to that of a cube that has the same dimensions of the diameter

[tex]V=H*W*D=0.8*0.8*0.8= 0.51 inches3

I can calculate the volume of the box as

[tex]V=H*W*D=3*4*7.5= 90 inches3

Finally I divide the volume of the box between the volume I need for each sphere Vt/Vs= 90/0.51 ≅ 177 balls

Answer:

$21.25

Step-by-step explanation:

$500 * (1-.15)=$425 Sales Price

$425 * .05= $21.25 Commission

Answer:

C=3+.37x

Step-by-step explanation:

C=cost/month

x=number of messages sent

Answer:

3 + 0.37x

Step-by-step explanation:

A text message plan costs $3 per month plus $0.37 per text.

Cost of x message with the given rate = (0.37x)

Total monthly cost = ( 3 + 0.37x )

Therefore, monthly cost of x messages will be represented by 3 + 0.37x

Answer:

2 (2m+1) (m+2)

Step-by-step explanation:

4m² + 10m + 4

Factor out a 2

2(2m^2 +5m+2)

2 (2m+1) (m+2)

For this case we must find an expression equivalent to:

[tex]\frac {\sqrt [7] {x ^ 2}} {\sqrt [5] {y ^ 3}}[/tex]

By definition of properties of powers and roots we have:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

So, rewriting the expression we have:

[tex]\frac {x ^ {\frac {2} {7}}} {y ^ {\frac {3} {5}}} =[/tex]

By definition of power properties we have:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

So:

[tex]x ^ {\frac {2} {7}} * y ^ {- \frac {3} {5}}[/tex]

Answer:

Option A

Answer:

The correct answer is second option

(√x²/⁷)(√y⁵/³)

Step-by-step explanation:

Points to remember

Identities

Xᵃ * Xᵇ = x⁽ᵃ⁺ᵇ⁾

Xᵃ/Xᵇ = X⁽ᵃ⁻ᵇ⁾

1/Xᵃ = X⁻ᵃ

X¹/ᵃ = 1/Xᵃ

To find the correct option

From the figure we can see that,

7√x²/5√y³

Using identities we can write,

7√x²/5√y³ = (√x²/⁷)/(√y³/⁵

 =  (√x²/⁷) * (√y⁵/³)

Therefore the correct answer is second option

(√x²/⁷)(√y⁵/³)

Answer:

383.08‬

Step-by-step explanation:

Multiply 3 times 122 which is 366

Then multiply .14 times 122 which is 17.08

Then add.

Final answer:

Brandy's mistake was not converting the diameter to the radius before applying the area formula A = πr². The correct area of a circle with a diameter of 12 cm is 113.04 cm², but it should be reported as 110 cm² to maintain two significant figures.

Explanation:

The error in Brandy's solution for finding the area of a circle with a diameter of 12 cm lies in not first converting the diameter into the radius. The formula for the area of a circle is A = πr², where r is the radius and π (pi) is approximately 3.14. Since the radius is half of the diameter, for a diameter of 12 cm, the radius is 6 cm. Thus, the correct calculation is A = 3.14 × 6².

Correct solution:

A = 3.14 × 6 cm²

A = 3.14 × 36 cm²

A = 113.04 cm²

As for the significance of figures, since the radius has two significant figures (6 cm), the calculated area should also be limited to two significant figures, rounding to 110 cm².

Answer:

-1/4

Step-by-step explanation:

Answer:y=mx+b

Step-by-step explanation:

y would be the slope of the beginning of equation

Hello there!

3: (12 + x) ÷ 3 or [tex]\frac{12 + x}{3}[/tex]

1: $6.30

To solve 3, look at the parts of the question.

"The quotient of.." means you are dividing.

"12 increased by a number" means you are adding a certain number to 12, which can be modeled by 12 + x.

"Divided by 3" Means the previous phrase, or 12 + x, is being divided by 3.

You can model the equation as: (12 + x) ÷ 3 or [tex]\frac{12 + x}{3}[/tex].

To solve 1, find the unit rate for the cost per bag of ice.

$3.60 / 4 bags = $0.90 a bag.

Now, multiply the unit rate by the number you are trying to find (7).

$0.90 x 7 = $6.30. This is your final answer.

I hope this was helpful, and have a great rest of your day! If you need more help with these specific questions let me know in the comments! ~ Saturns

Number Three: y=12+x/3

Number One: $0.90(7bags)= $6.30 ***See explanation below**

To solve number one, you'd have to find the unit rate.

Since you pay $3.60 for every 4 bags, you have to find the price per bag.

$3.60 / 4 bags = $0.90

Now, since unit price is proportional, you'd multiply .90 by 7 bags.

$0.90(7bags)= $6.30.

(I'm bored sooo....)

Hope this helps,

L@c3y

Answer:

3

Step-by-step explanation:

y = -9 when x = 3

When x = -4.5, the first definition of the function will be used since -4.5 is less than -3. In this region, y = -x implying that when x = -4.5,  y= 4.5.

When x = 3, the last definition of the function will be used since 3 is greater than -2. In this region, y = -x^2 implying that when x = 3,  y= -9.

Answer:

3

Step-by-step explanation:

The minimum  happens at x = -b/2a

x = -30 / 2(3) = -30/6 = -5

Now replace x in the equation with -5 and solve:

3(-5)^2 + 30(-5) +27 = 75 - 150 + 27 = -48

The minimum is at (-5,-48)

The min is x= -b/2a

X=-30/2(3)

-30/6= -5

1. True. You have to serve to earn points

2.false. You get one serve

3. True

4. True

5. Fair

Answer:

You must be serving to earn points

Question 1 options:

True  <---

False

Question 2 (1 point)

You are allowed 2 serves per side per point

Question 2 options:

True

False  <---

Question 3 (1 point)

A perfect play is Bump-Set-Spike

Question 3 options:

True  <---

False

Question 4 (1 point)

You must win by 2 points

Question 4 options:

True  <---

False

Question 5 (1 point)

If the ball hits the net it is considered:

Question 5 options:

Fair

Side-out  <---

Out

In

Step-by-step explanation:

I just did the quiz and I got %100. These were the answers. I hope it helps :)

well, the difference is just 6300 - 5600 = 700.

if we take 5600 to be the 100%, what is 700 off of it in percentage?

[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 5600&100\\ 700&x \end{array}\implies \cfrac{5600}{700}=\cfrac{100}{x}\implies 8=\cfrac{100}{x} \\\\\\ 8x=100\implies x=\cfrac{100}{8}\implies x=\cfrac{25}{2}\implies x=12.5[/tex]

Answer:

12.5

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Solutions of systems are found where the graphs intersect one another.  These 2 functions will never intersect, therefore, there is no solution.  It is known as inconsistent.

Answer:

50 cm

Step-by-step explanation:

Since the figures are similar then

linear ratios = a : b

area ratios = a² : b²

Here the ratio of areas = 43.75 : 175 = 1 : 4, thus

linear ratios = 1 : 2

The larger pentagon has a perimeter = 2 × 25 = 50 cm

Answer:

the answer is C

Step-by-step explanation:

if there are 3 cups and he put seven in each then multiply 7 by 3 and you get 21 then take 3 away and you have 18

Carmen has 18 counters left.

To find out how many counters Carmen has left, we need to subtract the number of counters taken by Abe from the initial number of counters Carmen had.

Carmen initially had 7 counters in each of the 3 cups, so she had a total of 7 x 3 = 21 counters.

Abe took 3 counters, so we subtract 3 from 21 to find that Carmen has 18 counters left.

Therefore, option C, 18, is the correct answer.

https://brainly.com/question/34484346

#SPJ2

Answer:

6=n   and -2=n

Step-by-step explanation:

The distance between two points is found by

d = sqrt(( x2-x1)^2 + (y2-y1)^2)

5 = sqrt(( n-2)^2 + (4-1)^2)

5 = sqrt(( n-2)^2 + (3)^2)

Square each side

5^2 = sqrt(( n-2)^2 + (3)^2)^2

25 = ( n-2)^2 + (3)^2

25 = (n-2)^2 +9

Subtract 9 from each side

25-9 = (n-2)^2 +9-9

16 = (n-2)^2

Take the square root of each side

sqrt(16) = sqrt( (n-2)^2)

±4 = n-2

Add 2 to each side

2±4 = n-2+2

2 ±4 = n

2+4 =n   and   2-4 =n

6=n   and -2=n

8,076 ....................

Answer:

8076

Step-by-step explanation:

You need a 4-digit number. The leftmost digit is the thousands digit (T). The next digit to the right is the hundreds digit (H). The third digit from the left is the tens digit (E), and the rightmost digit is the ones digit (O).

Using T, H, E, and O, as shown above, the number will have the form:

THEO

Now you replace each letter with the correct digit.

"eight thousand, seventy-six" has no hundreds, so let's include hundreds:

"eight thousand (T = 8), zero hundreds (H = 0), and seventy (E= 7)-six (O = 6)"

8076

The important thing is to remember to include a 0 as the digit for the hundreds place.

Answer:

The company's assets are 535,000.00.

Step-by-step explanation:

To find the company assets we can use the formula:

Assets = Liabilities + Equity

In the given question,

Liabilities = 195,000.00

Equity = 340,000.00

Putting values in the above formula:

Assets = Liabilities + Equity

Assets = 195,000.00 + 340,000.00

Assets = 535,000.00

So, the company's assets are 535,000.00.