¿What is the density of a rock if it has a mass of 50 g and a volume of 10 mL?

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: 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:

8

Step-by-step explanation:

Answer:

It would take Mauritania about 8 weeks to save up $16.

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

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

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:

$21.25

Step-by-step explanation:

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

$425 * .05= $21.25 Commission

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: 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:

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.

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 :)

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

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:

73.4 units is the answer for the figure

Answer:

A. 73.4

Step-by-step explanation:

I jyst did the test lol

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

Answer:

d. Jessica can have up to 7 toppings on her pizza

Step-by-step explanation:

We know that the inequality that gives us the number of toppings Jessica can put on her pizza is [tex]0.75(t-1)+9.50\leq 14[/tex] where [tex]t\geq 1[/tex], so, to find the number of topics we just need to solve the inequality.

Let's do it step-by-step

Step 1. Subtract 9.50 from both sides of the inequality

[tex]0.75(t-1)+9.50-9.50\leq 14-9.50[/tex]

[tex]0.75(t-1)\leq 4.50[/tex]

Step 2. Distribute 0.75 to the two terms inside the parenthesis

[tex]0.75t-0.75\leq 4.50[/tex]

Step 3. Add 0.75 to both sides of the inequality

[tex]0.75t-0.75+0.75\leq 4.50+0.75[/tex]

[tex]0.75t\leq 5.25[/tex]

Step 4. Divide both sides of the inequality bu 0.75

[tex]\frac{0.75t}{0.75} \leq \frac{5.25}{0.75}[/tex]

[tex]t\leq 7[/tex]

Jessica can put up to 7 topping on her pizza.

We can conclude that the correct answer is d. Jessica can have up to 7 toppings on her pizza

Answer:

a = 12

Step-by-step explanation:

pythag. theorem.

a^2 + b^2 = c^2

a = ?

b = 1225

c = 1369

solve

uwu

A. We know that [tex]x[/tex] represents babysitting hours and [tex]y[/tex] represent tutoring hours.

Since she is allowed to work 20 hours per week, her babysitting hours plus her tutoring hours can't be more than 20 hours, in other words:

[tex]x+y\leq 20[/tex]

She babysits for $6 per hour and tutor for $10 per our. Since she wants to make at least $75, the sum of babysit hours and tutoring hours must be greater or equal $75, in other words:

[tex]6x+10y\geq 75[/tex]

Now we can put our inequalities together to create our system of inequalities:

[tex]x+y\leq 20[/tex]  (1)

[tex]6x+10y\geq 75[/tex]  (2)

B. To graph our system, we first need to find the equations of the lines bounding the inequalities. To do it we, are replacing the inequality sign with and equal and solving for [tex]y[/tex] in both inequalities.

For [tex]x+y\leq 20[/tex]

[tex]x+y=20[/tex]

[tex]y=20-x[/tex]

Now we can find the y and x intercepts to graph the line.

The y-intercept occurs when x = 0, so

[tex]y=20-0[/tex]

[tex]y=20[/tex]

The y-intercept has coordinates (0, 20)

The x-intercept occurs when y = 0, so

[tex]0=20-x[/tex]

[tex]-20=-x[/tex]

[tex]x=20[/tex]

The x-intercept has coordinates (20, 0)

For [tex]6x+10y\geq 70[/tex]

[tex]6x+10y=75[/tex]

[tex]10y=75-6x[/tex]

[tex]y=\frac{15}{2}-\frac{3}{5} x[/tex]

When x = 0,

[tex]y=\frac{15}{2}-\frac{3}{5} (0)[/tex]

[tex]y=\frac{15}{2}[/tex]

y-intercept = [tex](0,\frac{15}{2})[/tex]

When y = 0,

[tex]0=\frac{15}{2}-\frac{3}{5} x[/tex]

[tex]-\frac{15}{2}=-\frac{3}{5}x[/tex]

[tex]x=-\frac{15}{2}(-\frac{5}{3} )[/tex]

[tex]x=\frac{25}{2}[/tex]

x-intercept = [tex](\frac{25}{2} ,0)[/tex]

Now, since both inequalities have greater or equal/less or equal signs, the line bounding them are solid.

Now we can put it all together to create the graph of our system (check the attached picture).

The solution of the inequality is the shaded (purple) region where the two inequalities intercept.

C. As we can see in the graph the points (10, 5), (5, 8), and (2, 9) -as well as the x and y intercepts of both inequalities, are solutions of the system.

Let's choose the point (10, 5). To prove algebraically that the point is a valid solution of the system, we just need to replace the values in our system of inequalities and prove that both inequalities are true.

Since the point is (10, 5), x = 10 and y = 5

Replacing values in (1)

[tex]x+y\leq 20[/tex]

[tex]10+5\leq 20[/tex]

[tex]15\leq 20[/tex]

Since 15 is indeed less or equal to 20, the inequality is true.

Replacing values in (2)

[tex]6x+10y\geq 75[/tex]

[tex]6(10)+10(5)\geq 75[/tex]

[tex]60+50\geq 75[/tex]

[tex]110\geq 75[/tex]

Since 110 is greater or equal 75, the inequality is true.

Both inequalities are true, so (10, 5) represents a solution for the model.

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:

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.

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:

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:

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:

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)

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. :)

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:

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:

y = [tex]\frac{1}{8}[/tex] x²

Step-by-step explanation:

For any point (x, y) on the parabola the focus and directrix are equidistant.

Using the distance formula

[tex]\sqrt{(x-0)^2+(y-2)^2}[/tex] = | y + 2 |

Square both sides

(x - 0)² + (y - 2)² = (y + 2)² ← expand parenthesis

x² + y² - 4y + 4 = y² + 4y + 4 ( subtract y² + 4y + 4 from both sides )

x² - 8y = 0 ( subtract x² from both sides )

- 8y = - x² ( divide both sides by - 8 )

y = [tex]\frac{1}{8}[/tex] x²

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:

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