Answer: 77 / 1785
Step-by-step explanation:
Number of caramels = 10
Number of mints = 12
Number of dark chocolate = 14
Total number = 36
Since it's without replacement, the exact probability that Marilyn picks a mint, then another mint, and finally a bar of dark chocolate will be:
= 12/36 × 11/35 × 14/34
= 1/3 × 11/35 × 7/17
= 77/1785
The equation of a circle is given below. Identify the center and the radius.
4x² + 32x + 4y2 – 20y = – 53
Answer:
Step-by-step explanation:
the regular price of base ball cleats is 80 dollars if the cleats are on sale for 45% off, then what is the value of the discount in dollars?
Answer:
$36
Step-by-step explanation:
If the cleats were on sale for 45% off, that means they were 55% "on." Therefore, you have to multiply 80 by 0.55* to get how much they cost.
80 x 0.55 is 44.
To get the value of the discount, you subtract 44 from 80, which is 36.
The cleats sold for $44, and there was a $36 discount.
*you multiply by 0.55 because it is 55 percent. Percent means "per every hundred." That's why you have to divide 55 by 100 to get 0.55.
An alternate way to solve this is to multiply 80 by 55 and then divide the result by 100, but you'll still get 44.
Given that g(x) = 2x ^ 2 - 2x + 8 , find each of the following. a) g(0) b) g(- 2) C) g(3) d) g(- x) e) g(1 - t)
Answer:
[tex]g(-2)=20[/tex]
Step-by-step explanation:
Given [tex]g(x)=2x^2-2x+8[/tex], substitute what is in the parentheses for [tex]x[/tex] to find an output.
For [tex]g(-2)[/tex], the term [tex]-2[/tex] is in the parentheses. Thus, substitute [tex]x=-2[/tex] into [tex]2x^2-2x+8[/tex] to find [tex]g(-2)[/tex]:
[tex]g(-2)=2(-2)^2-2(-2)+8,\\g(-2)=2\cdot 4+4+8,\\g(-2)=8+4+8,\\g(-2)=\boxed{20}[/tex]
Answer:
a) 8
b) 20
c) 20
Step-by-step explanation:
a) Insert X=0 from g(0) to the equation: 2(0) power of 2 - 2x0 +8.
b) Insert X=(-2) from g(-2) to the equation: 2(-2) power of 2 - 2x(-2) +8.
c) Insert X=3 from g(3) to the question 2(3) power of 2 - 2x3 +8.
solve in attachment .
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
could use some help on this please
Answer:
x = 15, y = 4
Step-by-step explanation:
To solve this, we have to define the triangles first. Since the triangles are congruent by HL, it means that the hypotenuse and the leg of the triangle are defined to be equal. By flipping one of the triangles upsidedown, we can visualize the hypotenuse of the triangles and the leg of the triangles (which are equal).
The two equations are the following:
[tex]x + 1 = 4y[/tex]
[tex]x = y + 11[/tex]
If I add 1 to both sides of the second equation, I get the following equation:
[tex]x + 1 = y + 11 + 1 = y + 12[/tex]
By comparing this new equation with the first one, we will get:
[tex]x + 1 = 4y = y + 12[/tex]
We can ignore x+1 for now since y can not be solved.
[tex]4y = y + 12[/tex]
By subtracting both sides of this equation by y, we will get.
[tex]3y = 12[/tex]
This solves for y, where
[tex]y = 4[/tex]
Now, we can re-use one of the equations, which is
[tex]x = y + 11[/tex]
Now that we know y is 4, we can plug it into this equation.
[tex]x = 4 + 11 = 15[/tex]
Two triangles are similar. A side of one is 2 units long. The corresponding side of the other is 5 units long. What is the ratio of:
A) their perimeters?
B) their areas?
Answer:
b
Step-by-step explanation:
the lowest common multiple of two numbers is 91 and the sum of the rwo numbers is 20, what are the two numbers
Answer:
7 and 13
Step-by-step explanation:
The multiples of 91 are
1, 7, 13, and 91
Only 7 and 13 make 20
Answer:
Explanation
7x13
7x13=91
7+13=20
# By selling 5 oranges, a shopkeeper gains the selling price of 1 orange. Find his profit percentage.
O 50%
O 25%
O 15%
O 20%
profit from selling 5 oranges is 20%
Profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
What is profit?" Profit is defined as difference of cost price from selling price when the selling price of a product is greater than its cost price."
Formula used
Profit percentage = [tex]\frac{Selling price - cost price}{cost price} (100)[/tex]
According to the question,
We know that,
Selling price = cost price + profit
Substitute the given condition in the selling price formula we get,
Selling price of 5 oranges
= Cost price of 5 oranges + Selling price of 1 oranges
⇒(S.P of 5 oranges) - (S.P of 1 oranges) = C.P. of 5 oranges
⇒S.P of 4 oranges = C.P of 5 oranges
⇒[tex]\frac{S.P}{C.P}=\frac{5}{4}[/tex]
Substitute the value in the formula to get profit percentage,
Profit percentage = [tex]\frac{5-4}{4}(100)[/tex]
= 25%
Hence, profit percentage of selling 5 oranges, a shopkeeper gains the selling price of 1 orange is equals to 25%.
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The value of is between 4.7 and 4.8. Which of the following is a more precise approximation of ?
A.
between 4.81 and 4.82
B.
between 4.77 and 4.78
C.
between 4.78 and 4.79
D.
between 4.79 and 4.8
sorry ignore the selected one i didnt mean to
Answer: D. between 4.79 and 4.8
Step-by-step explanation:
The square root of 23 (√23) is 4.79583152331. We can obviously eliminate A and B. C and D is left. C is wrong because if we approximate the square root of 23, which is 4.79583152331, we get 4.79. 4.79 > 4.78, so it can't be C. Hope this helps :)
i'm on the same test-
expand and simplify (2x-3)(3x
+1)
Answer:
6x^2+2x-9x-3
=6x^2-7x-3
What is 240 : 60 in its simplest form
Answer:
4:1
Step-by-step explanation:
In the history of Major League Baseball, the most valuable player award has been won by players from 7 different countries. which countries were they
Answer:
United States, Canada, Dominican Republic, Cuba, Venezuela, Japan, Panama
Step-by-step explanation:
Taking a look at a list of Major League Baseball most valuable players, the countries are:
United States(most players are US-born).
Canada(Joey Votto in 2010).
Dominican Republic(Albert Pujols and Vlad Guerrero Sr. for example).
Cuba(last Jose Abreu in 2020)
Venezuela(last Jose Altuve in 2017)
Japan(Ichiro in 2001).
Panama(Rod Carew)
Situation:
Find the age of
A student in Greece discovers a pottery
bowl that contains 28% of its original
amount of C-14.
Ent
N= Noekt
No
= inital amount of C-14 (at time
t = 0)
N = amount of C-14 at time t
k = 0.0001
t = time, in years
Answer:
Step-by-step explanation:
I'm assuming you need the age of the bowl. Start with the fact that you have remaining 28% of the original amount before any of it decayed. You always start with 100% of something unless you're told differently. That means that the equation looks like this:
[tex]28=100e^{-.0001t}[/tex] and begin by dividing both sides by 100 to get
[tex].28=e^{-.0001t}[/tex] . To solve for t we have to be able to bring it down from its current position of exponential. To do this we would either take the log or the natural log since the rules for both are the same. However, the natural log is the inverse of e, so they undo each other. We take the natural log of both sides which allows us to pull down the -.0001t. At the same time remember that the natural log and e are inverses of each other so they are both eliminated when we do this.
ln(.28) = -.0001t Now it's easy to solve for t.
[tex]\frac{ln(.28)}{-.0001}=t[/tex] and
[tex]\frac{-1.272965676}{-.0001}=t[/tex] so
t = 12729.65676 years or rounded, 12730 years.
What is the standard form of the expression (3x+4)(x_8)
Answer:
[tex]\left(3x+4\right)\left(x-8\right)[/tex]
[tex]a=3x,\:b=4,\:c=x,\:d=-8[/tex]
[tex]=3xx-3\cdot \:8x+4x-4\cdot \:8[/tex]
[tex]=3x^2-20x-32[/tex]
--------------------------
hope it helps...
have a great day!!
What is the largest prime factor of the factorial 49!?
Answer:
13
Step-by-step explanation:
i just know
Answer:
,
Step-by-step explanation:
,
Solve for x. Thank you
Answer:
solve for what exactly, there is no equation here
Step-by-step explanation:
please there's no equation here
Which of the ratios below is equivalent to 8:5? Select all that apply.
A) 12:9
B) 24:15
C) 40:25
D) 20:32
E) 16:10
Step-by-step explanation:
The answer is B 24:15,divide both by 3 and check out the answers
f(x) = –2² – 9x
Find f(-2)
Answer:
22
Step-by-step explanation:
1.) -2²-9(-2)
2.) -2(-2)+18
3.) 4+18
4.) 22
please answer this I need help asap
Answer:
(12, 48 )
Step-by-step explanation:
Given the 2 equations
y = 5x - 12 → (1)
y = 3x + 12 → (2)
Substitute y = 5x - 12 into (2)
5x - 12 = 3x + 12 ( subtract 3x from both sides )
2x - 12 = 12 ( add 12 to both sides )
2x = 24 ( divide both sides by 2 )
x = 12
Substitute x = 12 into either of the 2 equations and evaluate for y
Substituting into (2)
y = 3(12) + 12 = 36 + 12 = 48
solution is (12, 48 )
Can someone help me with this math homework please!
Answer:
The vertical line test can be used to determine whether a graph represents a function.
If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because a function has only one output value for each input value.
The angle A of a triangle ABC is 20% less than the sum of other two angles. If angle C is [tex]\frac{2}{3}[/tex] times angle B, then find the value of angle B.
To indirectly measure the distance across a lake, Nachelle makes use of a couple landmarks at points D and E. She measures CF, FD, and FG as marked. Find the distance across the lake (DE), rounding your answer to the nearest hundredth of a meter
Answer:
207.68 m
Step-by-step explanation:
From the diagram,
ΔDEC is similar to ΔFGC
Therefore,
(DE)/(FG) = (DC)/(FC).............. Equation 1
make line DE the subject of the equation
DE = [(DC)(FG)/(FC)]................ Equation 2
From the diagram,
Given: DC = 190 m, FG = 142.1 m, FC = 130 m
Substitute these values into equation 2
DE = (190×142.1/130)
DE = 207.68 m
Hence the distance across the lake is 207.68 m
Applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
Recall:
The corresponding side lengths of two triangles that are similar are always proportional to each other.Thus:
ΔCDE and ΔCFG are similar to each other
FG = 142.1 m
FC = 130 m
DF = 60 m
DC = 130 + 60 = 190 m
Therefore:
DE/FG = DC/FC
SubstituteDE/142.1 = 190/130
Cross multiply[tex]DE = \frac{190 \times 142.1}{130} \\\\\mathbf{DE = 207.68 $ m}[/tex] (nearest hundredth).
Therefore, applying the similarity theorem, the distance across the lake to the nearest hundredth is: DE = 207.68 m
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Ifm22 = 115°, what is m21?
Answer:
Step-by-step explanation:
PLEASE HELP 20 POINTS + BRAINLIEST IF ANSWERED Which method correctly solves the equation using the distributive property? Negative 0.2 (x minus 4) = negative 1.7 Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 4 = negative 1.7. Negative 0.2 x = 2.3. x = negative 11.5. Negative 0.2 (x minus 4) = negative 1.7. x minus 4 = 0.34. x = 4.34. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x + 0.8 = negative 1.7. Negative 0.2 x = negative 2.5. x = 12.5. Negative 0.2 (x minus 4) = negative 1.7. Negative 0.2 x minus 0.8 = negative 1.7. Negative 0.2 x = negative 0.9. x = 4.5.
Step-by-step explanation:
oh oh can you capture a picture of it because you don't understand
What is the value of x to the nearest tenth?
A) 29.5
B)18.5
C)37.0
D)40.8
Jason is traveling by car from his home to his office. He has gone 3.5 miles so far. From this point on, he can cover 100 miles every 2 hours. What is the equation of a line that models the total miles traveled, y, in x hours after this point?
There is step to step calculation
Hope is helpful
Jahlil is 6 inches shorter than 4 times his sister’s height. Jahlil’s height is 70 inches.
Answer:
x = his sister's height = 19 inches
Step-by-step explanation:
Let
x = his sister's height
Jahlil's height is given by the equation:
4x - 6 = 70
4x = 70 + 6
4x = 76
x = 76/4
x = 19 inches
x = his sister's height = 19 inches
Check:
4x - 6 = 70
4(19) - 6 = 70
76 - 6 = 70
70 = 70
Solve the formula c = pi d for d
A. d = pi c
B. d = c/pi
C. d = c - pi
D. d = pi/c
Answer:
B
Step-by-step explanation:
C=pi×d
C÷pi = Pi×d÷Pi
C/pi=d
Answer:
B
Step-by-step explanation:
Given
C = πd ( isolate d by dividing both sides by π )
[tex]\frac{C}{\pi }[/tex] = d
A number cube has faces numbered 1 to 6.
What is true about rolling the number cube one time?
Answer:
All numbers have an equal chance of being landed on.
Ava graphs the function h(x) = x2 + 4. Victor graphs the function g(x) = (x + 4)2. Which statements are true regarding the two graphs? Select three options.
Ava’s graph is a vertical translation of f(x) = x2.
Victor’s graph is a vertical translation of f(x) = x2.
Ava’s graph moved 4 units from f(x) = x2 in a positive direction.
Victor’s graph moved 4 units from f(x) = x2 in a positive direction.
Ava’s graph has a y-intercept of 4.
Answer:
Step-by-step explanation:
A: true. Her graph goes 4 units up.
B: False. His graph goes 4 units to the left. Be sure you check this answer out.
C: True. It moved from (0,0) to (0,4)
D: Victor's graph move left in the minus direction. False.
E. True. See C.
The correct statements are true regarding the two graphs are as follows;
Ava’s graph is a vertical translation of f(x) = x^2.
Ava’s graph moved 4 units from f(x) = x^2 in a positive direction.
Ava’s graph has a y-intercept of 4.
What is the function?A function relates an input to an output. It is like a machine that has an input and an output. And the output is related somehow to the input.
Ava graphs the function h(x) = x^2 + 4.
Victor graphs the function g(x) = (x + 4)^2.
To find the y-intercept we plug in 0 for x;
[tex]\rm h(x) = x^2 + 4\\\\h(0)=(0)^2+4\\\\h(0)=4[/tex]
Ava’s graph has a y-intercept of 4.
Ava graphs the function h(x) = x^2 + 4.
If any number is added at the end then the graph will be shifted up. 4 is added at the end so there will be vertical translation.
Hence , Ava’s graph is a vertical translation of f(x) = x^2.
Also Ava moved 4 units up from f(x) = x^2 in a positive y- direction.
Victor graphs the function g(x) = (x + 4)^2.
If any number is added with x then the graph will be shifted left. the graph will be shifted in the negative x-direction.
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