Answer:
209 cubic mm.
Step-by-step explanation:
Formula for volume of cone:
[tex]V=\frac{1}{3} \pi r^2 h[/tex]
Now let's plug in the values.
[tex]V=\frac{1}{3} \pi 5^2 8[/tex]
[tex]V=\frac{1}{3} \pi 200[/tex]
[tex]V=\frac{200}{3} \pi[/tex]
[tex]V=209.4395...[/tex]
Round to the nearest cubic mm and the volume is 209 cubic mm.
Answer:
209.333
Step-by-step explanation:
→ State the area for the volume for a cone
1/3 × π × r² × h
→ Substitute in the numbers
1/3 × 3.14 × 5² × 8
→ Evaluate
209.333
Simplify 4 + (-3) - 2 times (-6)
Step-by-step explanation:
[tex] = 4 + ( - 3) - 2 ( - 6)[/tex]
here ( + ) × ( - ) = ( - )
[tex] = 4 - 3 + 12[/tex]
[tex] = 4 + 12 - 3[/tex]
[tex] = 16 - 3[/tex]
[tex] = 13[/tex]
The correct result of this simplification is 13
To solve this question, we'll just apply the rule of signs - and then we'll calculate the operations.
- In the sign rule - when both signs are equal, the result will be positive. If the signs are different, the result is negative.
- ( - ) = ++ ( + ) = +- ( + ) = -+ ( - ) = -Resolution4 + ( - 3 ) - 2 · ( - 6 )
4 - 3 - ( - 12 )
4 - 3 + 12
1 + 12
13
Therefore, the alternative value will be 13
Explain step by step how you find the product of 6x^2y^5 and 3x^2 - 8x + 2xy^2 + 4y^3
The final product is 18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸
What is a product ?
The product is result obtained when a number or an expression is multiplied by the other number.
The product of the given expression
6x²y⁵ and 3x²-8x+2xy²+4y³
6x²y⁵ (3x²-8x+2xy²+4y³)
Step 1 : To multiply each term in the bracket with the other expression
out of the bracket
6*3*x²*y⁵*x² - 6*8*x²*y⁵ +6x²y⁵ *2*x*y² + 6*4*x²y⁵ *y³
Step 2 : The like variables will be solved
18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸
This is the final product
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Which of these is not a possible r-value?
A. 1.2
B. -0.1
OC. 0.5
D. -0.75
Answer:
A) 1.2
Step-by-step explanation:
R can never be greater than 1
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8. Which of these is the primary reason for the extinction of a species?
loss of habitat
overhunting
O pollution
Osudden environmental changes
Answer:
my bet would be d)
Step-by-step explanation:
ur asking math students btw
An arithmetic sequence has this recursive formula:
{ A1=5
{An= An-1-4
What is the explicit formula for this sequence?
A. an= (-1) + (n - 5)(-4)
B. an=5+ (n − 1)(-4)
C. an= 5+ (n-4)(-1)
D. an= (-4) + (n − 1)5
An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference. The correct option is B.
What is an arithmetic sequence?An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.
The explicit formula for any arithmetic series is given by the formula,
aₙ = a₁ + (n-1)d
where d is the difference and a₁ is the first term of the sequence.
Given A₁=5 and An= A₍ₙ₋₁₎-4, therefore we can write,
aₙ = a₁ + (n-1)d
Aₙ= 5+(n-1)(-4)
Hence, the correct option is B.
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Probability and statistics please help me out
Answer:
first option
Step-by-step explanation:
1/7
I hope this is correct...
If x=-3 and 2x+5y=-1 what is the value of y?
Answer:
y=1
Step-by-step explanation:
Start by plugging in -3 for x in the equation 2x+5y=-1 then solve for y.
2(-3)+5y=-1
-6+5y=-1 (add 6 to both sides)
5y=5 (divide both sides by 5)
y=1
Write a rule to describe the transformation
the length of nicks garden is equal to its width. Nick is going to enlarge his garden by making each side 20% longer.How much will the area of the garden increase
Answer:
44%
Step-by-step explanation:
Existing garden: L*W, where L and W are the length and width (We'll assume meters, but it can be any other linear measurement, such as miles, cm, or feet, etc.).
Area, A1 = L*W
New Area, A2 = (1.2L)*(1.2W)
A2 = (1.2)*(1.2)*(L*W)
Since L*W = A1, we can write A2 = 1.44*A1
New Area = 1.44 the original area, a 44% increase.
the ratio of the similar rectangular prisms is 8 to 10 and the surface area of the smaller solid is 112 cm cubed. what is the surface area of the larger solid??
Answer:
140
Step-by-step explanation:
10/8 = 1.25
1.25 * 112 = 140
The figure shows two identical metal bars are different temperatures. What is the
coefficient of linear expansion for the metal from which the bars are made?
(A) 1.6 × 10 (*C).¹
(B) 1.4 x 10
(*C)-¹
L₁ - 1.000 m
42-1.001 m
(C) 1.2 x 10-5 (°C)-¹
(D) 1.1 x 10 (C)-¹
T₁=0.0°C
T₂-70.0°C
ut.
luce
The coefficient of thermal expansion of the metal will be 1.4 x 10⁻⁵ °c.
What is thermal expansion?Every material has its property of contraction or expansion by the change of temperature. The expansion and contraction of any material are indicated by a coefficient this coefficient is called the coefficient of thermal expansion.
Here we have the following data:-
l₁= 1.000 m
l₂ = 1.001 m
Δ = 70° C
The formula for calculating the coefficient of linear expansion will be:-
[tex]\alpha =\dfrac{\Delta l}{\Delta t\times l}[/tex]
By putting the values we will get the answer.
[tex]\alpha=\dfrac{0.0001}{70\times 1}= 1.4\times 10^{-5}[/tex]
Therefore the coefficient of thermal expansion of the metal will be 1.4 x 10⁻⁵ °c.
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Hi if you can give me a clear explanation that would be great! :)
1) segment ab has endpoints a(-3,1) and b(2,-6). suppose that point b is translated to b (-1,-8)
-how far away is point b from point a?
-how far did point b move to get to point b?
The distance of point a from translated b is 9.2 units and the distance of point b from translated b is 3.6 units
What is a line?A line is the distance between two points.
Analysis:
point a( -3,1) point b(2, -6) point translated b(-1, -8)
Distance ab = [tex]\sqrt{(x2 - x1)^{2} + (y2 - y1)^{2} }[/tex]
Distance ab = [tex]\sqrt{(-1--3)^{2} + (-8-1)^{2} }[/tex] = 9.21 units
Distance btb = [tex]\sqrt{(-1-2)^{2} + (-8- -6)^{2} }[/tex] = 3.6 units
In conclusion, the distance of b from a is 9.2 units and b from b is 3.6 units.
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caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe. Two caps are drawn wothout replacement from the wardrobe. What is the probability that both of the caps are blue?
Answer:
18/95
Step-by-step explanation:
What is probability?
Probability is simply the chances of something occuring.
As a formula, I like to say that formula = # of favorable outcomes / total # of outcomes
Where favorable outcomes is what we want to happen and total # of outcomes is the total number of possibilities.
In order to find the probability of the occurrence of something in a row, we multiply the individual probabilities of each action
Understanding the question
Here we are given that caleb has 7 black caps 4 yellow caps and 9 blue caps in his wardrobe and given this we want to find the probability of Caleb randomly selecting 2 blue caps without replacing it the first being drawn.
So here # of favorable outcomes = # of blue caps = 9
and
total number of outcomes = total # of caps = 7 + 4 + 9 = 20
Finding the probability
For first draw
First let's find the probability that caleb will select a blue cap the first time.
We know that probability = # of favorable outcomes / total # of outcomes
We also know that # of favorable outcomes = 9 and total # of outcomes = 20
Plugging this in, we get that the probability of Caleb randomly selecting a blue cap on the first draw is 9/20
For second draw
Because it says that caleb will not replace the cap when drawn it's important to subtract 1 from both the # of caps and # of blue caps
This results us in having # of favorable outcomes as 8 and total # of outcomes as 19
Plugging this in we get that the probability of Caleb drawing a blue cap the second time is 8/19
Finally to find the total probability of him selecting two blue caps in a row without replacing the first cap, we multiply the individual probabilities
From doing so we acquire 9/20 * 8/19 = 18/95
Answer:
18/95
Step-by-step explanation:
Probability Formula :
Probability (Event) = Number of outcomes with Event / Total outcomes
=============================================================
Given :
⇒ 7 black caps
⇒ 4 yellow caps
⇒ 9 blue caps
===========================================================
Solving :
P (1st cap is blue) :
⇒ Number of blue caps / Total caps
⇒ 9 / 7 + 4 + 9
⇒ 9/20
It mentions the cap is not replaced. Hence, when taking the probability of the 2nd cap, subtract a blue cap from the number of blue caps and the total.
P (2nd cap is blue) :
⇒ Number of blue caps - 1 / Total caps - 1
⇒ 9 - 1 / 20 - 1
⇒ 8/19
P (both caps are blue) :
⇒ P (1st cap blue) × P (2nd cap blue)
⇒ 9/20 × 8/19
⇒ 9/5 × 2/19
⇒ 18/95
What does x= please help
The value of x is 8
This question is a proportion. To solve it, let's assemble it as follows:5 = 4
10 x
Now, just multiply in the form of a cross. Then, let's split the terms:5 . x = 10 . 4
5x = 40
x = 40 ÷ 5
x = 8
So, the result of x will be 8
True or False?
A square can be similar to a triangle since a square is composed of two triangles.
When Ronald goes to BIG Burgers, he orders a sandwich and a side order. For the
Answer:
true is the answer not hard question
X^2-6x+5=0 solve with quadratic formula
Answer: x1 = 5
x2 = 1
Step-by-step explanation:
1. Identify the coefficients
2. Move the constant to the right side of the equation and combine
3. Complete the square
4. Solve for x
Answer:
x = 5 and 1
Step-by-step explanation:
[tex]x^2-6x+5=0\\x_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\cdot \:5}}{2\cdot \:1}\\x_{1,\:2}=\frac{-\left(-6\right)\pm \:4}{2\cdot \:1}\\\rightarrow x_1=\frac{-\left(-6\right)+4}{2\cdot \:1},\:x_2=\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\\frac{-\left(-6\right)+4}{2\cdot \:1}\\\\=\frac{6+4}{2\cdot \:1}\\\\=\frac{10}{2\cdot \:1}\\\\=\frac{10}{2}\\\\=5\\\\\\\frac{-\left(-6\right)-4}{2\cdot \:1}\\\\=\frac{6-4}{2\cdot \:1}\\\\=\frac{2}{2\cdot \:1}\\\\=\frac{2}{2}\\\\=1[/tex]
In 1997 the U.S. population was approxiamately 266,667,000 people. At the rate of 440 prisoners per 100,000 population, about how many prisoners were inthe system
Answer:
Around 1.2 million
Step-by-step explanation:
If we multiply 266,667,000 by 440/100,000 we get about 1,173,334 which we can round to about 1.2 million
Solve the inequality
x² + 6x + 8 <0
Answer:
look above
Step-by-step explanation:
hope it hepls
Can someone answer question 1-6
Answer:
Equation- a statement of the equality of two mathematical expressions Ex: 4 + 2 = 3 + 3Table of value- a set of ordered pairs usually resulting from substituting numbers into an equation (relation)Set of coordinate points- a set of numbers that show an exact point on a graph Ex: (2, -6)Graph- the collection of all points whose coordinates satisfy a given relationPattern- a repeated design of things like; numbers, shapes, colors, etc Ex: O $ X O $ X O $ XWord description- give a verbal description of its elements.Step-by-step explanation:
Hope I did it right, tell me if its wrong.
help mee answer the question
..............................................
(08.05 LC)The histogram shows the number of prizes won by different numbers of students at a sports competition. Which of the following statements is correct regarding the number of students and the number of prizes won? A histogram titled Prizes Won is shown. The horizontal axis is labeled Number of Prizes with bins 0 to 3, 4 to 7, 8 to 11, and 12 to 15. The vertical axis labeled Students with values from 0 to 10 at intervals of 1. The first bin goes to 3, the second goes to 6, the third goes to 1, and the last goes to 9.
Answer:
It is C.
Step-by-step explanation:
First thing you would do is go through all the information and read the options then what you would do is see the labels and its will try to throw you off at A. saying that its Prizes instead of students that has won the prizes so there for
C. Six prizes were won by 4, 5, 6, or 7 students.
is your answer
The inverse of f(x)= 2x + 3 is written:
Answer:
It should be x-3/2 (also written as "(x-3)÷2")
Step-by-step explanation:
y=2x+3
switch the y and x
x=2y+3
solve for y
x/2=y+3
x-3/2=y
If you graph these two functions you will see that y=2x+3 give the points (-1.5,0) and (0,3) and x-3/2 give (0,-1.5) and (3,0). because you've switched the x number to the y number you've "inversed" it
Select the type of equations.
consistent
equivalent
Inconsistent
The type of equation is (a) consistent equations
How to determine the type of equation?The attached figure completes the question
From the graph, we can see that the two lines are not parallel and they do not represent the same line
This means that the lines are consistent
Consistent lines produce consistent equations
Hence, the type of equation is (a) consistent equations
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Susan and five of her friends enjoyed dinner at her favorite restaurant. They
split the bill evenly among themselves, and each person paid $11.75. How
much was the total bill?
$= 0.1
Answer here
Factor 60-36w60−36w60, minus, 36, w to identify the equivalent expressions.
Answer: 60( 1 - 72)
Step-by-step explanation: i think it might be right so heres a proof
What is the value of x in the figure below?
Let's see
[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=\dfrac{24}{12}[/tex]
[tex]\\ \rm\dashrightarrow \dfrac{9}{x}=2[/tex]
[tex]\\ \rm\dashrightarrow x=\dfrac{9}{2}[/tex]
[tex]\\ \rm\dashrightarrow x=4.5[/tex]
If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?
StartRoot one-half x EndRoot greater-than-or-equal-to 0
One-half x greater-than-or-equal-to 0
One-half x minus 10 greater-than-or-equal-to 0
StartRoot one-half x minus 10 EndRoot + 3 greater-than-or-equal-to 0
The inequality that represents the domain of the function is [tex]\frac 12x - 10 \ge 0[/tex]
How to determine the domain?The function is given as:
[tex]f(x) = \sqrt{\frac 12x - 10} + 3[/tex]
Set the radicand greater than or equal to 0
[tex]\frac 12x - 10 \ge 0[/tex]
Multiply through by 2
x - 20 ≥ 0
Add 20 to both sides
x ≥ 20
Hence, the domain of the function is x ≥ 20
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Find the value of each variable.
Please help
Step-by-step explanation:
a is the interior angle of the 2 opposing arc angles. the interior angle is the mean value between the 2 arc angles.
a = (145 + 45)/2 = 190/2 = 95°
b is the simply the supplementary angle to a (meaning together they are 180°, because the sum of all angles around a single point on one side of a line is 180°).
b = 180 - 95 = 85°
You owe 3 of your friends $15 dollars each. Before you pay your friends back, you
have $52. How much money do you have after paying your friends back?
Answer:
$7
Step-by-step explanation:
Since you have to pay 3 of your friends $15 each, you would multiply 15 by 3 and get 45. Then you would subtract that from 52 and you would get $7.
AMSWER ASAP PLEASE PLEASE PLEASE
Answer:
(2,14)
Step-by-step explanation:
so i solved this with substitution but there are other methods to solve this!
equation 1 : y = -x + 16
equation 2 : y = x + 12
solve for y in equation 1 !!
y = -x + 16
(add x on both sides)
y + x = 16
(subtract y on both sides)
x = -y + 16
equation 1 now equals : x = -y + 16
substitute equation 1 into equation 2 :)
y = (-y + 16) + 12
(add 16 + 12)
y = -y + 28
(add y on both sides)
2y = 28
(divide 2 on both sides)
y = 14
now to solve for x you can insert y !
you can use equation 1 or equation 2 to solve for x.
i'm using equation 2 :
y = x + 12
(14) = x + 12
(subtract 12 on both sides)
x = 2
therefore, the answer is (2, 14).
hope this helps :p