2. A small plastic vessel has the shape of a truncated cone as shown. A cubic centimeter is the same as a
milliliter. What is the volume of this cup to the nearest milliliter? Show the work you use to find the answer.

Answer:

B 144

Step-by-step explanation:

Answer:

2/3 to the power 8

Step-by-step explanation:

Power : 2 + 6 = 8

Answer:

see explanation

Step-by-step explanation:

the perimeter (P) is the sum of the 3 sides of the triangle, then

P = 31 + 19.5 + 16.2 = 66.7 units

the area (A) of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

here b = 16.2 and h = 13 , then

A = [tex]\frac{1}{2}[/tex] × 16.2 × 13 = 8.1 × 13 = 105.3 units²

Answer:

do you have a pic?

Step-by-step explanation:

Answer: 1/3 im not sure tho

Step-by-step explanation:

Answer:

18/125

Step-by-step explanation:

4 add 6 is 10

4/10 chance for a girl

6/10 chance for a boy

2 boys and a girl is 4/10, 6/10, 6/10

4/10 multiplied by 6/10 multiplied by 6/10 is:

144/1000

This can be simplified to 72/500

This can be simplified to 36/250

This can be simplified to 18/125

Answer:

No, the ladder is not within the safe range because the slope is 5.

Step-by-step explanation:

To solve, find the slope of the ladder using the slope formula and check if the slope is between 6.3 and 9.5.

Slope is how steep a line is. In this case, the line is the ladder. If the ladder is too steep, them it is not safe.

You can calculate slope using the following formula:

[tex]slope = \frac{rise}{run}[/tex]

Rise means how faraway vertically, or how high up the ladder is.

Run means the how faraway horizontally, or from the wall the ladder is.

Let's calculate slope using the formula.

[tex]\displaystyle {slope=\frac{rise}{run}}[/tex]

[tex]\displaystyle {slope=\frac{2\ m}{0.4\ m}}[/tex]           Substitute the values, 2m for rise, 0.4m for run.

[tex]\displaystyle {slope=5}[/tex]                   Final answer

The question tells us that a safe ladder has a slope of 6.3 to 9.5. The slope, 5, is not between that range. Therefore, the ladder is not safe.

Answer:

7. D.58

Because 90-32=58 (that cube on the edge means 90degree)

8. A.45

Because 180-135=45

9. C. Because angles are equal

10. C. 95

180-85=95

Answer:

S₉ = 255.5

Step-by-step explanation:

the sum to n terms of a geometric sequence is

[tex]S_{n}[/tex] = [tex]\frac{a_{1}(r^{n}-1) }{r-1}[/tex]

where a₁ is the first term and r the common ratio

here a₁ = 0.5 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{1}{0.5}[/tex] = 2 , then

S₉ = [tex]\frac{0.5(2^{9}-1) }{2-1}[/tex]

    = [tex]\frac{0.5(512-1)}{1}[/tex]

    = 0.5(511)

    = 255.5

The number of digits is an illustration of combination, and there are 40,000 possible codes that start with a prime number that Genevieve could  create

The given parameters are:

Length = 5

First digit = Prime number (2, 3, 5, and 7)

This means that the first digit can be any of the 4 prime numbers, while the other four digits can be any of the 10 digits 0 - 9

So, the number of codes is

Code = 4 * 10 * 10 * 10 * 10

Evaluate

Codes = 40,000

Hence, there are 40,000 possible codes that start with a prime number that Genevieve could  create

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Answer:

40,000

Step-by-step explanation:

i did the k12 test ;)

Step-by-step explanation:

let's start with B :

the best way to find the vertex is by transforming the function into the vertex form :

y = a(x - h)² + k

with (h, k) being the vertex.

when doing all the multiplications, we get

y = a(x²-2hx+h²) + k = ax² - 2ahx + ah² + k

let's compare with the irreducible function

ax² = 4x²

a = 4

-2ahx = 8x

-2×4hx = 8x

-8hx = 8x

-8h = 8

-h = 1

h = -1

ah² + k = -5

4×(-1)² + k = -5

4 + k = -5

k = -9

so, the vertex form is

y = 4(x + 1)² - 9

the vertex is (-1, -9)

if the factor of the (x-h)² term is greater than 0, then the parabola opens upward, and if it is less than zero, the parabola opens downward.

out factor is +4, so it opens upward, and the vertex is a minimum.

A

now we know

y = 4(x + 1)² - 9

for the x-intercepts we need to find the x-values that lead to 0 y values.

so,

0 = 4(x + 1)² - 9

9 = 4(x + 1)²

3 = ± 2(x + 1) = ± (2x + 2)

for +(2x + 2) is then

3 = 2x + 2

2x = 1

x = 1/2

for -(2x + 2) is then

3 = -2x - 2

5 = -2x

x = -5/2

so, the x-intercepts are

(-5/2, 0) and (1/2, 0).

C

I know it is a parabola.

i know 3 points : the vertex and the 2 x-interceot points. i could then also calculate the points for x = 0, 1, -1, 2, -2.

and then draw the graph with a curve ruler connecting the points.

Answer:

(12,15)

Step-by-step explanation:

This is assuming you haven't answered already... Mr Cooper helped me find it

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

Explanation:

You'll look at each four digit group separately.

Since we want more than 2 people having a pet, this means the group of four must have 3 pet owners or all 4 are pet owners.

The digit 5 represents "no pet". If we see it show up twice or more, then we must cross the group off the list. Something like 5533 has the first two people that don't own pets, while the last two people do own pets. In this case, we don't have a "more than 2 pet owners" situation happening. So we must cross it off the list.

Here is the list of groups to cross off

There are five such groups we have eliminated. That leaves 20-5 = 15 groups where there are more than 2 pet owners.

We have 15 groups we want out of 20 total. It leads to the probability of 15/20 = 0.75

Answer:

0.75

Step-by-step explanation:

I took the quiz :)

Answer:

4188.79

Step-by-step explanation:

formula- [tex]\frac{4}{3}[/tex]  × [tex]\pi[/tex] × [tex]r^{3}[/tex]

r= radius

It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."

A debit card is a small card that contains a chip which a bank issues to its customers to enable them to perform cashless transactions outside the banking hall.

It is a true statement that; "A point of sale transaction occurs when a debit card is used to purchase items at a grocery store."

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Answer: It is a true statement.

A transaction is an agreement between a buyer and a seller to exchange goods, services or financial instruments.

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Have a great day and God bless! :)

Answer:

5906

Step-by-step explanation:

The difference in volumes between cube and cone is 5190.52 cubic units.

Suppose that:

The side length of the considered cube is L units.

Then, we get:

The volume of that cube = L³ cubic units.

The outer figure is a cube with an edge length of 20 centimeters.

The volume of that cube = L³ cubic units.

= 8000 cubic units.

The volume of that cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

The height is 20 cm and the radius will be

[tex]D = 20\sqrt{2} \\ = 28.2\\\\r = D/2\\ = 14.1[/tex]

volume of that cone

[tex]V = \dfrac{1}{3} \pi r^3 h \: \rm unit^3[/tex]

= [tex]V = \dfrac{1}{3} (3.14) (14.1)^3 (20) \: \rm unit^3[/tex]

= 59190.52  cubic units

Therefore, the difference in volumes bbetween cube and cone is 5190.52 cubic units.

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First image -Right triangle(One angle is 90 degrees)

Second image-Isosceles triangle(Two equal sides and two equal angles).

Answer:

20

Step-by-step explanation:

Answer: 82.5

Step-by-step explanation: 6600 divided by 80 is 82.5

Answer:

82.5

Step-by-step explanation:

The total number of outcomes will be 6. Then the sample space will be {(3,R), (3,S), (3,T), (5,R), (5,S), (5,T)}

Sets are the collection of well-defined elements. A set is represented by a capital letter symbol and the number of elements in the finite set is shown as a curly bracket {..}.

One spinner has three equally sized sectors labeled R, S, and T.

A second spinner has two equally sized sectors labeled 3 and 5.

Then the total number of the event will be

Total event = 3 × 2

Total event = 6

Then the sample space will be

[tex]\rm Sample = \left\{\begin{matrix}3,R & 3,S & 3,T \\\\5,R & 5,S & 5,T \\\end{matrix}\right.[/tex]

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Answer:

IQR = 4

Step-by-step explanation:

Q3 = 6

Q1= 2

6-2=4

Answer:

Step-by-step explanation:

Circle of center A(2, 0) and radius r.

P (22, 15),   Q(−13, c) and R (k, 24) all lie on a circle,

[tex]r=AP=\sqrt{\left( 22-2\right)^{2} +\left( 15-0\right)^{2} }[/tex]

 [tex]=25[/tex]

Q(−13, c)  lies on the circle then ,

[tex]AQ=r\Longrightarrow AQ^{2}=r^{2}\Longrightarrow (-13-2)^{2}+(c-0)^2=25^2=625[/tex]

[tex]\Longrightarrow 225+c^{2}=625[/tex]

[tex]\Longrightarrow c=20[/tex]

R (k, 24) lies on the circle then ,

[tex]AR=r\Longrightarrow AR^{2}=r^{2}\Longrightarrow (k-2)^{2}+(24-0)^2=25^2=625[/tex]

[tex]\Longrightarrow (k-2)^{2}+576=625[/tex]

[tex]\Longrightarrow (k-2)^{2}=49[/tex]

[tex]\Longrightarrow k-2=7\ \ or \ \ k-2=-7[/tex]

[tex]\Longrightarrow k=9\ \ or \ \ k=-5[/tex]

Answer:

16.5

Step-by-step explanation:

7.5 x 2.2. formula of triangle = bh

Answer:

(x + 3)^2 + (y - 2)^2 = 25

Step-by-step explanation:

Looking at the circle we can see the origin and the radius from the origin to the edge of the circle.

radius  = 5

Origin of the circle (h,k) = (-3,2)

Equation of a circle: (x - h)^2 + (y - k)^2 =r^2

Plug in our (h,k) and radius into the equation.

(x - (-3))^2 + (y - (2))^2 = 5^2

(x + 3)^2 + (y - 2)^2 = 25

Answer:

35.28 m

Step-by-step explanation:

Formula for volume of pyramid:

[tex]V=b^2\frac{h}{3}[/tex]

Therefore since,

base - 4.2 m

height - 6 m

Then,

[tex]V=4.2^2\frac{6}{3}[/tex]

[tex]V=35.28m[/tex]

Kavinsky

Answer:

n = 84

Step-by-step explanation:

18 + 3 = 21, so that means the quotient of the number and 4 is 21.

21 * 4 = 84

CHECK:

84 / 4 = 21

21 - 3 = 18

Answer:

Angle L

Step-by-step explanation:

An obtuse angle has a measure between 90° and 180°.

Angles J and K are right angles, so their measures are equal and are 90°. Angle M has measure 64° and is acute.

Only angle L, which measures 116°, has a measure between 90° and 180° and is an obtuse angle.

Answer: Angle L

Answer:

678.39

Step-by-step explanation:

For this we should probably use the formula A = Pe^rt. The question says that the value grow "continuously" which is our hint that we should use A = Pe^rt rather than A = P(1 +r/n)^nt. Our P = 620 as it is our initial value. e is a constant approx = 2.718. r is our rate, so 0.3% = 0.003, and our t will be in seconds. We need to figure out how many seconds are in .5 minutes, so 30, and that means our t will = 30. Let's plug these in. 620e^(0.003 * 30) = A. This will give us our answer which when rounded to the hundredths = 678.39.

Hope this is helpful.

Answer:

[tex]\sf \dfrac{1}{8}[/tex]

Step-by-step explanation:

Spinner choices:  Red, Green, Yellow, Blue

Coin choices: Heads, Tails

[tex]\large\begin{array}{| c | c | c | c | c |}\cline{1-5} & \sf Red & \sf Green & \sf Yellow & \sf Blue\\\cline{1-5} \sf Heads & RH & GH &YH & BH \\\cline{1-5} \sf Tails &RT & GT& YT& BT\\\cline{1-5}\end{array}[/tex]

[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]

[tex]\implies \sf P(blue)=\dfrac{1}{4}[/tex]

[tex]\implies \sf P(heads)=\dfrac{1}{2}[/tex]

[tex]\implies \sf P(blue)\:and\:P(heads)=\dfrac{1}{4} \times \dfrac{1}{2}=\dfrac{1}{8}[/tex]

[tex]\begin{cases} y=220x-160\\ y=20x^2-400 \end{cases}\qquad \qquad \stackrel{\textit{substituting on the 2nd equation}}{\stackrel{\textit{\Large y}}{220x-160}~~ = ~~20x^2-400} \\\\\\ -160=20x^2-220x-400\implies 0=20x^2-220x-240 \\\\\\ 0=20(x^2-11x-12)\implies 0=x^2-11x-12 \\\\\\ 0=(x-12)(x+1)\implies x= \begin{cases} 12\\ -1 \end{cases}[/tex]

[tex]\dotfill\\\\ x=12\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(12)-160}\implies y=2480 \\\\\\ x=-1\qquad \qquad \stackrel{\textit{substituting on the 1st equation}}{y=220(-1)-160}\implies y=-380 \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (12~~,~~2480)\qquad (-1~~,~~-380)~\hfill[/tex]