Answers
Answer: 96
Step-by-step explanation:
12x6= 96
times 12 which is the y axis and 6 which is the x axis. which would give you the shaded figure.
Related Questions
Kyle asked a random group of students what their favorite sport was. The results are below. Boys Girls Basketball 10 8 Football 25 7 Soccer 9 19 Baseball 18 22 If Kyle were to randomly select a girl to explain why she likes the sport chosen, what is the probability that he will pick a girl who likes football? A 12.5% B 27.1% C 40.3% D 44.6%
Answers
Answer:
The probability that Kyle will pick a girl who likes football is 12.5%.
Step-by-step explanation:
The data provided is as follows:
Boys Girls Total
Basketball 10 8 18
Football 25 7 32
Soccer 9 19 28
Baseball 18 22 40
Total 62 56 118
Compute the probability that Kyle will pick a girl who likes football as follows:
[tex]P(F|G)=\frac{n(G\cap F)}{n(G)}[/tex]
[tex]=\frac{7}{56}\\\\=0.125\\\\=12.5\%[/tex]
Thus, the probability that Kyle will pick a girl who likes football is 12.5%.
Nathaniel invested $37,000 in an account paying an interest rate of 5.7% compounded daily. Assuming no deposits or withdrawals are made, how long would it take, to the nearest year, for the value of the account to reach $70,900?
Answers
Answer:
11
Step-by-step explanation:
\text{Compounded Daily:}
Compounded Daily:
A=P\left(1+\frac{r}{n}\right)^{nt}
A=P(1+
n
r
)
nt
Compound interest formula
A=70900\hspace{35px}P=37000\hspace{35px}r=0.057\hspace{35px}n=365
A=70900P=37000r=0.057n=365
Given values
70900=
70900=
\,\,37000\left(1+\frac{0.057}{365}\right)^{365t}
37000(1+
365
0.057
)
365t
Plug in values
70900=
70900=
\,\,37000(1.0001562)^{365t}
37000(1.0001562)
365t
Simplify
\frac{70900}{37000}=
37000
70900
=
\,\,\frac{37000(1.0001562)^{365t}}{37000}
37000
37000(1.0001562)
365t
Divide by 37000
1.9162162=
1.9162162=
\,\,1.0001562^{365t}
1.0001562
365t
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\log\left(1.0001562^{\color{blue}{365t}}\right)
log(1.0001562
365t
)
Take the log of both sides
\log\left(1.9162162\right)=
log(1.9162162)=
\,\,\color{blue}{365t}\log\left(1.0001562\right)
365tlog(1.0001562)
Bring exponent to the front
\frac{\log\left(1.9162162\right)}{\log\left(1.0001562\right)}=
log(1.0001562)
log(1.9162162)
=
\,\,\frac{365t\log\left(1.0001562\right)}{\log\left(1.0001562\right)}
log(1.0001562)
365tlog(1.0001562)
Divide both sides by log(1.0001562)
4164.8632402=
4164.8632402=
\,\,365t
365t
Use calculator
\frac{4164.8632402}{365}=
365
4164.8632402
=
\,\,\frac{365t}{365}
365
365t
Divide by 365
11.4105842=
11.4105842=
\,\,t
t
t\approx
t≈
\,\,11
11
Using compound interest, it is found that it would take 11 years for the value of the account to reach $70,900.
What is compound interest?The amount of money earned, in compound interest, after t years, is given by:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
In which:
A(t) is the amount of money after t years. P is the principal(the initial sum of money). r is the interest rate(as a decimal value). n is the number of times that interest is compounded per year.Hence, the parameters are given as follows:
[tex]A(t) = 70900, P = 37000, n = 365, r = 0.057[/tex]
We have to solve for t, then:
[tex]A(t) = P\left(1 + \frac{r}{n}\right)^{nt}[/tex]
[tex]70900 = 37000\left(1 + \frac{0.057}{365}\right)^{365t}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = \frac{70900}{37000}[/tex]
[tex]\left(1 + \frac{0.057}{365}\right)^{365t} = 1.91621622[/tex]
[tex](1.00015616)^{365t} = 1.91621622[/tex]
[tex]\log{(1.00015616)^{365t}} = \log{1.91621622}[/tex]
[tex]365t\log{1.00015616} = \log{1.91621622}[/tex]
[tex]t = \frac{\log{1.91621622}}{365\log{1.00015616}}[/tex]
t = 11.41
Rounding to the nearest year, it would take 11 years for the value of the account to reach $70,900.
More can be learned about compound interest at https://brainly.com/question/25781328
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Batteries cost $5 pack. How many packs did Ryan buy if he spent $25
Answers
Answer:
The answer is 5
Step-by-step explanation:
if coorect mark brainliest
A distrubutor wants to make 1,000 pounds of trail mix that is 8% raisins. He will use a mix that is 5% raisins and a mix that is 20% raisins. How many pounds of each should he use?
Answers
Answer:
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Step-by-step explanation:
System of Equations
Let's call
x = pounds of trail mix 5% raisins
y = pounds of trail mix 20% raisins
The distributor wants to make 1,000 pounds of trail mix, thus:
x + y = 1,000 [1]
The mix must be 8% raisings as a combination of x and y, thus:
5x + 20y = 8*1,000 = 8,000
Dividing by 5:
x + 4y = 1,600 [2]
Subtracting [2] and [1]:
4y - y = 1,600 - 1,000
Operating:
3y = 600
y = 200
From [1]
x = 1,000 - y = 1,000 - 200
x = 800
He should use 800 pounds of trail mix 5% raisins and 200 pounds of trail mix 20% raisins
Answer:
5% raisin mix: 800 lbs
20% raisin mix: 200 lbs
Step-by-step explanation:
Let number of 5% be x; and number of 20% be a.
x + y = 1000
5% · x + 20% · y = 8% of 1000 pounds
0.05x + 0.2y = 80
x = 1000 - y
0.05(1000 - y) + 0.2y = 80
50 - 0.05y + 0.2y = 80
0.15y = 30
y = 200
x = 1000 - y
x = 1000 - 200
x = 800
What is the definition of photosynthesis?
the process of converting the energy in oxygen molecules into ATP
the process of changing light into stored chemical energy in the form of sugars
the process of converting the energy in carbohydrate molecules into ATP
the process of changing light into stored chemical energy in the form of lipids
Answers
Answer:
he process of changing light into stored chemical energy in the form of sugars
Step-by-step explanation:
The process in which light energy is converted to chemical energy in the form of sugars is correct.
Option (B) is correct.
What is the definition of photosynthesis?
What is photosynthesis ?Photosynthesis is the process by which green plants, algae and some forms of bacteria use energy from sunlight to convert carbon dioxide and water into glucose.
Given that:
Photosynthesis is the process in which light energy is converted to chemical energy in the form of sugars. In a process driven by light energy, glucose molecules (or other sugars) are constructed from water and carbon dioxide, and oxygen is released as a byproduct.
Photosynthesis is the process by which plants use sunlight, water, and carbon dioxide to create oxygen and energy in the form of sugar. 5 - 8
So, the process in which light energy is converted to chemical energy in the form of sugars is correct.
Learn more about photosynthesis here:
https://brainly.com/question/19390838
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What is the equation of the line in the graph?
Answers
Answer:
Step-by-step explanation:
Compare the two statements below and decide if the phrase: "In a plane," needs to be included in order to make a true statement.
1. In a plane, if a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
versus
2. If a transversal is perpendicular to one of two parallel lines, then it is perpendicular to the other line.
answer choices:
A) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Corresponding Angles Theorem.
B) It does not need to be included. By leaving it out of the statement, the reader considers three dimensions not just the xy-plane. The two parallel lines would determine a plane. However, the transversal could intersect only one of the lines. This would allow the proof to use the Angle Bisector Theorem.
C) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Corresponding Angles Theorem.
D) It needs to be included as it forces the reader to consider only two dimensions, like the xy-plane. The two parallel lines would determine the plane and the transversal would intersect both lines. This would allow the proof to use the Angle Bisector Theorem.
Answers
by any chance do you go to a higl school in Conroe bc I’m taking that exact test on canvas
Step-by-step explanation:
In a Jeopardy game, your score was at -450. You got the next two questions correct! First, you answered a 150 point question correctly. Secondly, you answered a 500 point question correctly.
help pls!!!
Answers
Answer:
wait what's the question?
Answer:
You would have 200 points
Step-by-step explanation:
-450+150+200=200
PLEASE HELP!!! GIVING BRAINLIST
If x + 2y = 8 and x/2 -y= 10, then x = ?
A)-3
B) 0
C) 10
D) 14
Answers
Answer:
D. 14
make y the subject of the formula in equation 1 and then substitute it in equation 2
PLEASE ANSWER ALL THE QUESTIONS WILL MARK BRAINLIEST!!!
Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles.
What tiles need to be added to both sides to remove the smaller x-coefficient?
A. 5 negative x-tiles
B. 5 positive x-tiles
C. 6 negative x-tiles
D. 6 positive x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
A. 2 negative unit tiles
B. 2 positive unit tiles
C. 4 negative unit tiles
D. 4 positive unit tiles
What is the solution?
A. x = –6
B. x = –2
C. x = 1
D. x = 2
Answers
Answer:
1. A
2. C
3. A
Explanation:
5x+(-2)=6x+4
-5x -5x
(-2)=1x+4
-6=x
Answer:
What tiles need to be added to both sides to remove the smaller x-coefficient?
✔ 5 negative x-tiles
What tiles need to be added to both sides to remove the constant from the right side of the equation?
✔ 4 negative unit tiles
What is the solution?
✔ x = –6
Step-by-step explanation:
A room that is in the shape of a cube has a capacity of 1331 cubic feet. The room is ____ feet long
Answers
Answer:
200020ft
Step-by-step explanation:
Evaluate 5w-w/x when w=6 and x=2
Answers
5(6) - (6)/(2)
30 - 6/2
30 - 3 = 27
0.1 is rational because it can be written as?
Answers
Answer:
0.1 is rational as it can be written as [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
Rational decimals can be expressed as a fraction using integers, and 0.1 = [tex]\frac{1}{10}[/tex], so it is rational.
Answer:
There are various ways of writing 0.1
1/10
110
10%
Those are some ways for writing 0.1
Step-by-step explanation:
What single transformation maps ∆ABC onto ∆A'B'C'?
Answers
Answer:
A rotation 90 degrees clockwise
Step-by-step explanation:
help me pleaseeeeeee
Answers
Step-by-step explanation:
Similar triangles
[tex] \frac{6}{uv } = \frac{8}{3} [/tex]
uv=18/8
uv= 2.25
30 points!!!!!!!!!!!!!!!!!!!!!!! Help ASAP!!! 1.) Line a passes through points (-2, 1) and (2, 9). Write an equation in slope intercept form that is parallel to line a.
Answers
Step 1: Use slope formula* to determine slope (or m) using both points given.
[tex]\frac{9 - 1}{2 - (-2)}\\\\\frac{8}{4} = 2[/tex]
Step 2: Use slope-intercept formula** , ONE of the points given, and the slope we just found to solve for b.
[tex]1 = 2(-2) + b\\\\1 = -4 + b\\\\5 = b[/tex]
Step 3: Now we can set up an equation of this line in slope-intercept form.
[tex]y = 2x + 5[/tex]
*Slope formula: y₂ - y₁/x₂ - x₁
**Slope-intercept formula: y = mx + b
Answer:
The slope calculator helps find the slope of any line through two given points. ... To find the equation of a line for any given two points that this line passes through, use our ... to calculate the slope of the line passing through the points (3,8) and (-2, 10) . ... Make sure that the points you measure from are the same as step 1.
Step-by-step explanation:
HELP ME FOR BRANLIEST
Answers
Answer: i dont know the answer but can i please have brainliest, i wanna know what it looks like and what it does
Step-by-step explanation:
The ratio of football players to volleyball players is 7 : 3. If there are 210 football players,
how many volleyball players are there?
Answers
Answer:
90
Step-by-step explanation:
Answer:
90
Step-by-step explanation:
210 divided by 7 = 30
30 x 3 = 90
Factor:
25y + 27x
Plz help
Answers
Answer:
25y+27x
Step-by-step explanation:
You cannot factor this any further
please fill in the blanks i need this
Answers
Answer:
110
242
Step-by-step explanation:
To get the amount for Number of ships 5. you do 5*22.
Same for the the #11. you do 11*22.
Also, Pick me as the smartest please.The graph shows the volume of water in a sink, x minutes after the faucet is turned on.
Answers
Answer:
Conner is correct.
Step-by-step explanation:
Answer:
Connor is correct because the rate of water flowing is equal to the slope. Water is flowing at a rate that is equal to 2 gallons per minute.
Step-by-step explanation:
The quotient of a number and (-3) is (-80) Find the number.
Answers
Answer:
240
Step-by-step explanation:
please help asap
The two lines graphed below are not parallel. How many solutions are there to the system of equations?
A.
Infinitely many
B.
Two
C.
One
D.
Zero
Answers
Answer:
one
Step-by-step explanation:
they meet at only one point, thus their system of equations has as solution only those coordinates.
A = p + prt solve for t
Answers
Answer:
t = [tex]\frac{A - p}{pr}[/tex]
Step-by-step explanation:
A = p + prt
A - p = p - p + prt
A - p = 0 + prt
A - p = prt
[tex]\frac{A - p}{pr}[/tex] = [tex]\frac{prt}{pr}[/tex]
[tex]\frac{A - P}{pr}[/tex] = t
Find the equation of a parabola that has a vertex of (3,7) and contains the point (-2,-6)
Answers
Answer:
Step-by-step explanation:
Help me please asap!!
Answers
Answer:
67
Step-by-step explanation:
180 - (53 + 60) = 67
I NEED HELP ASAP
The floor of a rectangular pen has a length that is two feet more than four times its width. What is the area of the pen?
Answers
A = length x width
= (4w + 2) . w
= 4w^2 + 2w ft square
The computer was regularly priced at $1500. If you order the computer over the Internet, you can save money as the price is only $1200.What percent discount (change) are you getting?
Answers
PLEASEEE HELP ME ANWSER THISSS ♥️♥️♥️♥️
Answers
what is 100 times 7 plus 23
Answers
100 times 7= 700 any number times 100 you would add two zeros, 700+23=723
Hope this helps :]