Using the Fundamental Counting Theorem, it is found that you have 16 choices in building your bike.
What is the Fundamental Counting Theorem?It is a theorem that states that if there are n things, each with [tex]n_1, n_2, \cdots, n_n[/tex] ways to be done, each thing independent of the other, the number of ways they can be done is:
[tex]N = n_1 \times n_2 \times \cdots \times n_n[/tex]
In this problem:
For the color, there are 4 outcomes, hence [tex]n_1 = 4[/tex].For the seat, there are 2 outcomes, hence [tex]n_2 = 2[/tex].For the handebar, there are 2 outcomes, hence [tex]n_3 = 2[/tex].Thus, the total number of choices is given by:
N = 4 x 2 x 2 = 16.
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Patti puts 40 marbles in a bag. Each marble has a mass of 3 grams. What is the total mass of the bag of marbles? Show work
Answer:
120 grams
Step-by-step explanation:
Since each marble has a mass of 3 grams and there are 40 marbles, simply multiply 40 * 3 which is 120 grams.
What is the mean of the data set?
{6, 7, 9, 8, 2, 4}
Enter your answer in the box.
6 + 7 + 9 + 8 + 2 + 4 / 6
36/6
6
6 is the mean.
Which is an example of why higher education typically has a positive return on investment (ROI)?
a)The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
b)Higher paying jobs come with experience, not with earning a degree or certificate.
c)Higher education usually results in a lot of debt which can be difficult to afford.
d)The highest paying jobs come with a high school diploma which is an important reason to finish high school.
The jobs you can get with higher education will earn more money than jobs without a degree or certificate.
What is return on investment?The term return on investment refers to the profit that one makes from an investment. Higher education is a very profitable investment for an individual.
The example of why higher education typically has a positive return on investment (ROI) is the jobs you can get with higher education will earn more money than jobs without a degree or certificate.
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whats the answer? look at photo plsssss
y = 1
A simple formula to solve inverse relations is y+x=k, where k is a constant
(8)+(-3) = 5
Now using 5 as the constant and x = 4, y can be solved by doing 4 + y = 5
y = 1
Can someone explain this to me , I'm behind in a lot of homework
Answer:
13: 16
14: 6.28
15: √45
Step-by-step explanation:
13: Count the number of spaces from A to D or B to C, which is 4.
Then, count the number of spaces from A to B or C to D, which is also 4.
After that, multiply the two numbers. You should now have an answer of 16.
14: You want to find the diameter of the circle, which is 2.
Then, multiply 2 by 3.14, aka pi. You should now have an answer of 6.28.
*15: Count the number of spaces from A to C, which is 6.
Then, count the number of spaces from A to B, which is 3.
After that, square both of the numbers. 6 x 6 = 36 and 3 x 3 = 9.
Now, the final step. Add both numbers together. 36 + 9 = 45.
You should now have an answer of √45.
I hope this helped!
*Solved using the Pythagorean theorem. Steps one and two can be done in the opposite order.
what is the slope for 10 and 11?
3x^2=4x+3 Solve using quadratic formula
Answer:
The answer is in a picture, and please mods, check the picture before deleting it can be helpful sometimes.
Step-by-step explanation:
Here it is:
Find the area and perimeter of each figure
Answer:
A is Area= 100 and perimeter=40
B is Area=112.5 and perimeter=15
C is Area=144 and perimeter=48
Step-by-step explanation:
No explanation needed
lnx=-3
the answer in the textbook says it becomes x=e^-3 which I agree with, but then it gives 0.05 as the answer to solving it, I just don't understand how they found 0.05. Can anyone explain how to get 0.05 from x=e^-3?
Answer:
because It's rounded to the nearest hundred place
Step-by-step explanation:
Given equation:
[tex] \ln(x ) = - 3[/tex]recall that,
[tex] \ln(a ) = b \iff {e}^{b} = a[/tex]
remember, In is natural logarithm which is actually nothing but common logarithm with the base euler's number (e) . anyway rewriting lnx=-3 yields:
[tex] \ln( x ) = - 3\\ \iff {e}^{ - 3} = \frac{1}{ {e}^{3} } [/tex]
1/e³ is approximately 0.0497870684..... , rounding it to the nearest hundred place would be 0.05 which is the same answer as your textbook .
The function f(x)=log2x is transformed 4 units down and vertically compressed by a factor of 0.2 to become g(x).
Which function represents the transformation g(x)?
The answer is: g(x)=15log2(x)−4
Using translation concepts, it is found that function g(x) is given by:
[tex]g(x) = \frac{1}{5}\log_{2}{x} - 4[/tex]
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.
In this problem, the parent function is given by:
[tex]f(x) = \log_{2}{x}[/tex]
It was shifted 4 units down, hence:
[tex]g(x) = \log_{2}{x} - 4[/tex]
It was vertically compressed by a factor of 0.2, hence:
[tex]g(x) = \frac{1}{5}\log_{2}{x} - 4[/tex]
More can be learned about translation concepts at https://brainly.com/question/4521517
Answer:
g(x)=0.2 log[tex]_{2}[/tex] (x)−4
Step-by-step explanation:
Question 1 of 10
f(x) = 2x
9(2) = 2x + 1
Find
(1) (2). Include any restrictions on the domain.
O A. (1) (x) = 42,0 +-
O B. (1) (x) = 272, 220
Oc. (3)(c) = = +0
OD. (1) (x) = 4,27-2
(=
(2)
see photo for correct format
[tex] \frac{f}{g} = \frac{ \sqrt[3]{2x} }{2x + 1} [/tex]
Set the denominator not equal to zero.2x+1 ≠ 02x ≠ -1x ≠ -1/2Letter A is your answer.HELP ME PLEASEEEE!!! 50 POINTS + BRAINLYEST!!!!
NO LINKS PLEASE!!!!!!
The graph shows two lines, A and B.
A coordinate plane is shown with two lines, A and B, graphed. Line A has a slope of negative 1 and crosses the y axis at 5. Lin
Picture's in the box bellow.
How many solutions are there for the pair of equations for lines A and B? Explain your answer. (5 points)
Answer:
For question 1)
Line A's Gradient= -1
y=-x+5 where 5 is the y-intercept
Line B's Gradient= 1
y=x+3 where 3 is the y-intercept
By equating two equations....
-x+5=x+3
2x+3=5
2x=2
x=1
1 solution
For question 2) answer would be the first option
Step-by-step explanation:
Chris has 7/8 yard of purple ribbon and 1 1/6 yards of green ribbon. Chris has a total of 3 2/3 yards of ribbon. How many yards of Chris's ribbon are neither purple nor green?
A. 23/24
B. 1 5/8
C. 2 1/24
D. 2 1/2
Which expression is equivalent to 2(3w)?
Answer:
6w
Step-by-step explanation:
Multiply the constant by the coefficient.
2 times 3 is 6 and since there's a w beside 3, you'd have 6w.
Pls help me with this
Answer:
m<A=40˚, m<C = 90˚
Step-by-step explanation:
a line is 180˚, and half of a line (C) would be 90˚. B + A has to equal 90˚, so A has to be 40˚
i really need help i have had the worst day and i just need help on one question please
Answer:
8:125
Step-by-step explanation:
24/375
simplify by dividng each by 3
= 8:125
PLS HELP ITS MATH AND I DONT UNDERSTAND
No links pls and ty <3
C=52.08π
Solution:Circumference of a circle:C=2πrwhereπ=3.14...r= radiusIn this case, r is equivalent to 26.04 ft.C=2π×26.04Multiply:C=52.08π (in terms of pi)Hope it helps.
Do comment if you have any query.
Answer:
The last option [tex]52.08\pi[/tex] feet
Step-by-step explanation:
[tex]c=2\pi r=2\pi (26.04)=52.08\pi[/tex]
Hope this helps
5/3 as a mixed number
Answer:
[tex]1\frac{2}{3}[/tex]
The average adult working male spends approximately $70 per week on a
moderate cost healthy diet plan. The average cost for 3 fast food meals per
day is approximately $25. On average, what can you save per week with
the healthy diet plan?
Answer:
105$
Step-by-step explanation:
Which expression can be subtracted from the area of the rectangle to find the area of parallelogram rstu? 2 (18 4) one-half (18 4) (18 4) (18 - 4)
The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
The coordinates of parallelogram RSTU are
R(-4, -3), S(-5, 1), T(4, 3), U(5, -1)
The lengths of the sides are
RS = 4.1231
RT = 10
ST = 9.2195
SU = 10.198
TU = 4.1231
UR = 9.2195
Therefore, by definition of a parallelogram, we have;
RS║TU and ST║UR
The slope of RS = (1 - (-3))/(-5 - (-4)) = -4
The slope of ST = (3 - 1)/(4 - (-5)) = 2/9
The equation of the line perpendicular to ST is
y - 1 = -9/2×(x - (-5))
y = -9x/2 - 43/2
The equation of RS = y - (-3) = 1/4×(x - (-4)) = x/4 + 1
y = x/4 - 2
The point where the two lines meet
-9x/2 - 43/2 = x/4 - 2
x = -78/19
y = -115/38
The length of the side of the rectangle = 4.1245
The excess width of the rectangle = 0.1085
The expression can be subtracted from the area of the rectangle to give the area of the parallelogram RSTU (18+4).
Learn more about the area:
https://brainly.com/question/11952845
Answer:
C ✔️
Step-by-step explanation:
"(18 + 4)"
If m and n are whole numbers such that m^n = 121, then find the value of (m-1)^n+1.
Because m and n are whole numbers, we only have 3 values for m, and 3 values for n :
[tex]1^{121} ; 11^{11} ;121^{1}[/tex] (or you can say because 121 only have the factors of 1 ; 11 ; 121, those are the only possible values for m and n, then conclude the possible values)
Now, we will substitute them in :
If m = 1 ; n = 121
[tex](1-1)^{121+1}[/tex] = 0
If m = 11 ; n = 11
[tex](11-1)^{11+1}[/tex] = 1000000000000
If m = 121 ; n = 1
[tex](121-1)^{1+1}[/tex] = 14400
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
C
Step-by-step explanation:
6-4=2
3/4-2/4=1/4
A trader sold a bag of sugar at kshs. 4000. The buyer was allowed a trade discount of 10%. If he pays the debt in two weeks and a cash discount of 3% if payment is made within one month. Calculate the amount the trader received if the buyer paid within 15days
Answer:
4,013 dollars
Step-by-step explanation:
Write an equation in standard form of the line that passes through (7,-3) and has a slope of 4.
Answer:
equation of line
step one
(7,-3) (x,y)
slope = y-(-3) = 4
x-7 1
= 4(x-7) = 1(y+3)
4x-28=y+3
4x-28-y-3 =0
4x-y-31=0
equation of line is = 4x-y-31=0
will give brainliest if your answer is CORRECT
Answer:
I really don't know but i'm getting a gut feeling looking at B
Step-by-step explanation:
Like i said i don't know but b seems good enough
the mathematical answer of 1+1
Answer:
two
Step-by-step explanation:
one and add another one
=
Given a = 8, b = 12, and c= 14, use the Law
of Cosines to solve the triangle for the value
of B. Round answer to two decimal places.
Answer:
please where is the diagram
Pls helppppppp.
I don’t understand
Check the picture below.
so the deck is a 72x52 rectangular area, and the pool is simply two semicircles with a rectangle, as you see in the picture, we can put both semi-circles and make one circle with their area, so both together are really the area of a circle whose diameter is 29, and thus its radius is half that or 14.5.
Now, the area Belvedere is going to seal is really the "shaded" or bricked area, if we take the area of the whole deck, including the pool, and then get the area of the pool and subtract it from that of the deck's, what's leftover, is the area that wasn't subtracted, namely the "shaded" area.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{\stackrel{deck's}{rectangle}}{(72)(52)}~~ - ~~\stackrel{\stackrel{pool's}{rectangle}}{(40)(29)}~~ - ~~\stackrel{\stackrel{pool's}{circle}}{\pi (14.5)^2}}\implies 3744~~ - ~~1160~~ - ~~210.25\pi \\\\[-0.35em] ~\dotfill\\\\ ~\hfill \stackrel{using~\pi =3.14}{\approx 1923.8}~\hfill[/tex]
HELPP FAST!!! URGENT!!
Of the 1250 students registered at the local high school, 30% of them did not vote during the student body elections. How many students did not vote?
A) 350
B) 425
C) 365
D) 375
Answer: D) 375
Step-by-step explanation:
We will find 30% of 1,250 since 30% did not vote. A percent divided by 100 becomes a decimal.
30% / 100 = 0.3
1,250 * 0.3 = 375
D) 375 students did not vote.
Are the ratios 20:16 and 5:4 equivalent?
Answer:
Yes
Step-by-step explanation:
20:16
Reduce the ratio to lowest terms by dividing both numbers by 4.
20:16 = 5:4
Answer: Yes