Answer:
66
Step-by-step explanation:
A=12×11/2=66
Hope this helps:)
(-17,-5), (15,-13)
Slope of the line through each pair of points
You are packing for a road trip and you buy snack packages (same size, same weight) for the trip. you buy 6 potato chips, 5 doritos, and 3 corn curls. you put them in a bag and mix them up. during the trip, you reach into the bag and pull out two packages at random, one at a time. draw a tree and calculate the probability of each outcome. use p for potato chips, d for doritos, and c for corn curls. what is the probability of picking two snacks of the same type?
The probability of picking two snacks of the same type is 0.308.
How to calculate the probability?The probability of picking 2 potato will be:
= 6/14 × 5/13
= 0.429 × 0.385
= 0.165
The probability of picking 2 doritos will be:
= 5/14 × 4/13
= 0.357 × 0.308
= 0.110
The probability of picking 2 corn curls will be:
= 3/14 × 2/13
= 0.214 × 0.154
= 0.033
Therefore, the probability of picking two snacks of the same type will be:
= 0.165 + 0.110 + 0.033
= 0.308
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Find the volume of cone pictured below. Use 3.14
for T. Round your answer to the nearest
hundredth.
8 yd
8 yd
Sean operates a lawn-cutting business. He charges $15 for a single lawn and $25 for a front and back lawn. Sean made $475 from 25 customers.
Write a system of equations
The system of equations that models the given situation is given as follows:
x + y = 25.15x + 25y = 475.What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In this problem, the variables are given as follows:
Variable x: Number of single lawns cut.Variable y: Number of front and back lawns cut.He had 25 customers, hence:
x + y = 25.
He charges $15 for a single lawn and $25 for a front and back lawn, and made a total of $475, hence:
15x + 25y = 475
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A cylindrical container is packaged inside a prism-shaped box. the box has a volume of 96 cubic units. if the container has a diameter of 4 units and a height of 6 units, what is the volume of the empty space between the cylinder and the box? round the answer to two decimal places. a. 20.60 cubic units b. 37.77 cubic units c. 51.27 cubic units d. 75.40 cubic units
Volume is a three-dimensional scalar quantity. The volume of the empty space is 20.602 units³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
Given the volume of the prism, the box is 96 units³ and the diameter of the cylindrical container is 4 units(Radius=2 units), while the height of the cylinder is 6 units. Therefore, The volume of the empty space is,
The volume of the empty space
= Volume of prism - Volume of the cylindrical container
= 96 units³ - (π×2²×6) units³
= 96 units³ - 75.398 units³
= 20.602 units³
Hence, the volume of the empty space is 20.602 units³.
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x⁶y⁴/xy²
how would I simplify?
Answer choices:
A: x⁵y²
B:x⁶y²
C:x²y⁵
D:(xy)⁷
Step-by-step explanation:
please mark me as brainlest
Please help me with this
Answer:
65.9 ft
Step-by-step explanation:
The Law of Sines tells us the relationship between an angle and the opposite side. We are given the angle opposite the given side, but we need the angle opposite the side of interest.
__
third angleThe sum of angles in a triangle is 180°, so the measure of the angle at the balloon is ...
angle C = 180° -75° -60° = 45°
ground distanceThen the distance between Amaya and Rochelle (c) is ...
c/sin(C) = r/sin(R)
c = r×sin(C)/sin(R) = (90 ft)×sin(45°)/sin(75°)
c ≈ 65.8846
Amaya and Rochelle are about 65.9 feet apart.
If a many-to-many-to-many relationship is created when it is not appropriate to do so, the conversion to ____ normal form will correct the problem.
Answer:
Step-by-step explanation:
When θ = 0, cos θ = 1. What is the next radian value that will result in cos θ = 1?
Help please i need this
Answer:
i can't see the question i would love to help though
Step-by-step explanation:
In 2005, there were 12,000 students at Beachon High. In 2010, there were 12,250. What is the rate of change un the number of students
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
so in this case we have the provided ones (2005 , 12000) and (2010 , 12250)
[tex](\stackrel{x_1}{2005}~,~\stackrel{y_1}{12000})\qquad (\stackrel{x_2}{2010}~,~\stackrel{y_2}{12250}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{12250}-\stackrel{y1}{12000}}}{\underset{run} {\underset{x_2}{2010}-\underset{x_1}{2005}}} \implies \cfrac{12250 -12000}{2010 -2005}\implies \cfrac{250}{5}\implies \underset{\textit{rate of change}}{50}[/tex]
AYUDA !!!
hallar el m.c.d por descomposición canónica en cada caso
A) 52 Y 78
B) 56 Y 72
C) 84 Y 96
Answer:
BStep-by-step explanation:
Always remember:beluga always love answer your question by following these steps:Follow belugaask meBrainliest me first oktake note please: everyone i answer question I got happy:)please don't delete Your question beacause Brainliest Marks & pointswill be loseA jewelry store has 88 rings to display they arrange the rings in a even rose how many rings are in each row
Answer:
2,4,8,11,22, or 44
Step-by-step explanation:
To figure out how many rings would be in each full row with no leftovers, we need to find all the factors of 88 (outside of 1 and 8) which are 2,4,8,11,22, and 44. Since the question does not give any more information on how big the rows need to be, I can't narrow this down any further, however if I had to choose I would say rows of 8 by 11 would be the best.
Hope this helps! :)
After school, Carlos helps his mom at her cake shop, Love and Lace Cakes. Today, he is helping her bake a 3-layer wedding cake. Each layer will be 2 1/2
inches tall and shaped like a rectangular prism. The bottom layer will be 12 inches long and 10 inches wide. The middle layer will be 10 inches long and 8 inches wide. The top layer will be 8 inches long and 6 inches wide.
What will the total volume of the wedding cake be?
Write your answer as a whole number, proper fraction, or mixed number.
The total volume of the wedding cake would be 620 in³.
What is the total volume?A rectangular prism is a three-dimensional shape. It also known as a cuboid.
Volume = length x width x height
The volume of the cake is the sum of the volume of the three layers.
Volume of the first layer = 2 1/2 x 12 x 10
5/2 x 12 x 10 = 300 in³
Volume of the second layer = 2 1/2 x 10 x 8
5/2 x 10 x 8 = 200 in³
Volume of the third layer = 2 1/2 x 8 x 6
= 5/2 x 8 x 6 = 120 in³
Total volume = 300 + 200 + 120 = 620 in³
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A bag contains 42 red, 45 green, 20 yellow, and 32 pirple candies. You pick one camdy at random. Find the probability that it is green.
Answer:
[tex]\text{P(green)} =\frac{45}{139}[/tex]
Step-by-step explanation:
The total number of candies is :
= 42+45+20+32
= 139
Then
we have 45 green out of 139 candies.
Then
[tex]\text{P(green)} =\frac{45}{139}[/tex]
Note : 45/139 is already simplified.
If Q, DE=FG. Which must be true? Select all that apply.
Answer:
A and E
Step-by-step explanation:
A is already given by the basic fact that DE = FG. this makes the 2 lines automatically also congruent.
but this does not tell us anything about EF.
E and F could be very close together or far apart, and still DE = FG can be true in either case.
and that is why B, C and D could be true, but they are not in all cases true, and therefore these statements are in general false.
Please help worth
70 points
will mark branlest
Answer:
CE = 3.2 cm
DH = 4.5 cm
Explanation:
Given:
MNPR ≅ CEDH
≅ - means approximately equal
Lengths of the shape:
MN = CE = 3.2 cm
NP = ED = 6.5 cm
PR = DH = 4.5 cm
RM = HC = 9 cm
Jack is 14 years old. In 2032 to Jack will be twice his age. What year is it
Answer:
2018 I believe.
Step-by-step explanation:
He'll be two times his age in 2032 which is 28 years old. Subtract 28 from 2032 and you get 2018.
Answer:
2018
Step-by-step explanation:
in 2032 he will be 28 years old because he is 2 times older than 14, 2032-14=2018, because 14 years have passed since he was 14
Is cos²α the same thing as cosα²?
Answer:
No, it is not the same thing.
Step-by-step explanation:
Hope this helps!
Solve 3x² + 4x = 2. (2 points)
O 2 ± √10
—————
6
O −2+2√10
——————-
3
O −2+√10
——————-
3
O
-4± √10
————
3
Answer:
Step-by-step explanation:
As it is a second order equation, it means that it has two possible answers and they are [tex]x_1[/tex] and [tex]x_2[/tex].
The famous quadratic formula for solving any second order equation is the following:
[tex]x_{1} = \frac{-b + \sqrt{b^2 - 4 ac}}{2a}\\x_{2}=\frac{-b - \sqrt{b^2 - 4 ac}}{2a}[/tex]
Where a is the coefficient of [tex]x^2[/tex], b is the coefficient of x, and c is the free term. In other words,
[tex]a = 3\\b=4\\c=-2[/tex]
as the equation should be in the following form:
[tex]a x^2 + bx+c = 0[/tex]
Therefore the possible answer should be the following,
[tex]\frac{-4 + \sqrt{4^2 - 4*3*(-2)}}{2*3}=\frac{-4 +\sqrt{16 + 24}}{6} =\frac{-4 + \sqrt{40}}{6}=\\ \frac{-4 + \sqrt{4*10}}{6} = \frac{-4 + 2\sqrt{10}}{6}[/tex][tex]\frac{2*(-2 + \sqrt{10})}{2*3} = \frac{-2 + \sqrt{10}}{3}[/tex]
by dividing the numerator and denominator by 2, we can deduce the following,
Solve question 11 for me please
Answer:
C
Step-by-step explanation:
-4x+2<6
-4x<4
x<-1
because the sign doesnt have a line under it, it is an open hole
Please help it’s easy, State the property that is used. 10=10•1
The property identity of multiplication is applied in the given statement.
Properties of MultiplicationThe properties of multiplication are:
Distributive: a(b±c)= ab±acComutative: a . b = b. aAssociative: a(b+c)= c(a+b)Identity: b.1=bFrom the property identity, you know that the product between any number by the number 1 equals that number. Example: 3 • 1=3.
The question shows 10=10•1. Like, it was shown previously, this occurs due to the identity property of multiplication.
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f(7) if f(x) = x + 10.
Answer:
17
Step-by-step explanation:
at f(7) means x is 7
7+10 is 17
Find the area of the shade regions. Give your answer as a completely simplify exact value in terms of pie(no approximation). a=
Answer:
125.6 in²
Step-by-step explanation:
Area shaded :
2 × Sector (72°)2 x πr² x θ/3602 x 3.14 x 100 x 72/3606.28 x 100 x 1/520 x 6.28125.6 in²Can someone give me the steps to solving this?
Answer:
[tex]\tan \theta = \dfrac{8}{15}[/tex]
Step by step explanation:
[tex]\text{Given that,}\\\\~~~~~~~\sin \theta = \dfrac{8}{17}\\\\\implies \sin^2 \theta = \dfrac{64}{289}\\\\\implies 1-\cos^2 \theta = \dfrac{64}{289}\\\\\implies \cos^2 \theta = 1-\dfrac{64}{289}\\\\\implies \cos^2 \theta = \dfrac{225}{289}\\\\\implies \cos \theta =\pm\sqrt{\dfrac{225}{289}}\\\\\implies \cos \theta = \pm\dfrac{15}{17}[/tex]
[tex]\text{In quadrant I, all ratios are positive, so,}~ \cos \theta = \dfrac{15}{17}\\\\\text{Now,}\\\\\tan \theta = \dfrac{\sin \theta }{\cos \theta}\\\\\\~~~~~~~~=\dfrac{\tfrac{8}{17}}{\tfrac{15}{17}}\\\\\\~~~~~~~~=\dfrac{8}{17} \times \dfrac{17}{15}\\\\\\~~~~~~~=\dfrac{8}{15}[/tex]
Which set of ordered pairs represents a function
Answer:
C: is a function because each input (x) has exactly one output( y).
Step-by-step explanation:
A function is when one input (x) has exactly one output (y).
A: is not a function because -4 is paired with two different y values.
B: is not a function because -4 is paired with two different y values.
C: is a function because each input (x) has exactly one output( y).
D: is not a function because -1 is paired with two different y values.
Which inequality has a solid boundary line when graphed?
Y<-x-9
y<1/9x+9
y>-1/9x
y >9x+9
Inequalities are expression not separated by an equal sign. None of the inequality is correct since there is absence of equal sign.
Graph of inequalitiesInequalities are expression not separated by an equal sign. According to the question, we ned the inequality's graph that will have a dashed boundary line.
An inequality that will have solid boundary line must include only the less than or equal to sign < or greater than or equal to > sign.
From the option given, none of the inequality is correct since there is absence of equal sign.
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Marquis is starting a fast food job during his senior year of high school. he lives with his parents and they will claim him as a dependent on their taxes this year. he earns $2000. based on how he completed his w-4, his employer withheld $200 in federal income taxes from his paychecks. what will happen if marquis doesn't file taxes in april?
*
nothing will happen, but marquis will miss out on his potential refund.
the irs will refund his $200 directly to him.
the irs will refund his $200 to his parents.
the irs will fine marquis $75 or more for not filing taxes.
What will happen if marquis doesn't file taxes in April is that; nothing will happen, but marquis will miss out on his potential refund.
What is the impact of withholding taxes?
Withholding in this regards by his employers simply means how much is being taken out of your paycheck in taxes.
Now, withholding tax is basically an advance payment of income tax which may be used to offset or reduce tax liabilities. In this case, since the employer has withheld $200 in federal income taxes from his paychecks, what it means is that if he doesn't file taxes in April, nothing will happen, but he will miss out on his potential refund.
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A survey was conducted by a pet store to find the number of cats and dogs owned by people in a neighborhood block. The results of the survey are represented in this Bar Graph. Which statement describes why the Bar Graph is not properly drawn? A. The vertical scale is too high. B. The vertical scale should not start at zero. C. The bars are not the same width. D. The bars are not the same height.
Answer: C
Step-by-step explanation:
Which of the following equations describes the graph?
y=-x^2+1
An equation that describes the graph is [tex]y=-x^{2} +1[/tex]
What is an equation?"It is a mathematical statement which consists of equal symbol between two algebraic expressions."
What is parabola?"It is a curve, such that a point on the curve is equidistant from a fixed point, and a fixed line. "
For given question,
The graph describes the parabola.
The parabola opens downward, so the equation of the parabola would be,
[tex]y=-x^{2}[/tex]
We know that, for a function f(x) is transformed to f(x) + c if c > 0 then the graph of the function moves up by c units.
if c < 0 then the graph of the function moves down by c units.
As the graph of the parabola moves down by 1 unit, the equation of the parabola would be,
[tex]y=-x^2+1[/tex]
Therefore, the equation that describes the graph is [tex]y=-x^{2} +1[/tex]
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