Answer:
C. 8^20/2^8
Step-by-step explanation:
(8^5/2²)^4
8^20/2^8
A car rental agency has 18 vehicles available, of which 3 are convertibles. What is the probability that a randomly selected vehicle will be a convertible? Write your answer as a fraction or whole number.
Answer:
[tex]\frac{1}{6}\\[/tex]
Step-by-step explanation:
To find the probability, divide the number of desired outcomes by the total:
This will be 3/18, since there are 3 convertibles and there are 18 total cars
Simplify 3/18
= [tex]\frac{1}{6}[/tex]
write an equation in slope intercept form of the line that passes through (0,2) (8,8)
Step-by-step explanation:
Hey, there!!
You can get your answer simply, just remember the two point formula,
Given, the points are (0,2),(8,8).
We have, Formula for two points is,
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1) [/tex]
Put all values here,
[tex](y - 2) = \frac{8 - 2}{8 - 0} (x - 0)[/tex]
[tex](y - 2) = \frac{6}{8} (x -0)[/tex]
[tex](y - 2) = \frac{3}{4} (x - 0)[/tex]
multiply (y-4) by 4 and (x-0) by 3.
[tex](4y - 8) = 3x[/tex]
Bringing 4y and -8 on same side of 3x.
[tex]0 = 3x - 4y + 8[/tex]
[tex]or \: 3x - 4y + 8 = 0[/tex]
Therefore, 3x-4y+8=0..... is the required equation.
Hope it helps..
Can someone help been stuck all day idk wat to do
what percentage of 2½ meters is 100 cm?
Answer:
100/250*100= 40%
Step-by-step explanation:
40%
Step-by-step explanation:2 1/2m = 250 cm
250cm .............100%
100cm ..................x%
x = 100cmx100%/250 cm
= 10000%/250
= 40%
A hot air balloon is drifting at an altitude on
on is drifting at an altitude of 2550 ft. The balloon needs to descend to an altitude of
0 it. How many feet must the balloon descend?
Answer:
2550 ft
Step-by-step explanation:
The difference between 2550 ft and 0 ft is 2550 ft.
The balloon must descend 2550 ft to reach an altitude of 0 ft.
for the ap 3/2. 1/2. -1/2.-3/2... write the first term a and common difference d
Answer:
First term is [tex]\frac{3}{2}[/tex].
Common difference: -1
Step-by-step explanation:
Given the sequence:
[tex]\frac{3}{2} , \frac{1}{2} , -\frac{1}{2}, -\frac{3}{2}, ...[/tex]
we notice that one term is generated from the previous one by subtracting from it "1". That means that the common difference for this sequence is "-1", and its first term is [tex]\frac{3}{2}[/tex].
Pls answer it ......
Step-by-step explanation:
angle ACB=75° (being inscribed angle)
Angle BCD=105° (sum of straight line)
angle BCD + angle BQD=180° (opposite angle of quadrilateral inscribed in circle is supplemetry)
105° + x =180°
x= 75°
will give brainliest
Answer:
B
Step-by-step explanation:
Answer:
6 1/4 cup of soda for one cup of pineapple
Step-by-step explanation:
2/ 5 of pineapple for every 2 1/2 cups of soda
1 cup of pine apple ??
(2 1/2)/(2/5)
5/2 ÷2/5 ( when divide fraction,change ÷ to × and flip the fraction (reciprocal)
5/2×5/2=25/4 or 6 1/4
3y+2+3x-y+5x i need help doing combine like terms
Answer:
8x+2y+2
Step-by-step explanation:
First, write it out as it's given:
3y+2+3x-y+5x
Then, combine the x-terms first:
3y+2-y+8x
Next, combine the y-terms:
2+2y+8x
Which of the following is a proportion? Please help!! D:
Answer:
the second one
Step-by-step explanation:
evaluate plz plz plz help me i am soo confused
Hey there! I'm happy to help!
QUESTION 100
Here, we are looking for the number of permutations. A permutation is the number of possible arrangements you can make from a given set of things (order matters). If you have 6 kids standing in alphabetical order in line, that is one permutation. If you do reverse alphabetical order, that is a different permutation.
We are asked to find the number of permutations using the given format:
[tex]_{n}P_{r}\\[/tex]
This is simply a representation of what we want to find. The P means we are looking for the number of permutations. The n is the total number of objects in the set (for example, if there were 26 kids we could choose from to make this 6 person line, n would be 26). The r is the number of things chosen from the set (in our line example, the r would be six because we are choosing 6 kids).
The formula for finding the number of permutations is [tex]\frac{n!}{(n-r)!}[/tex]. The ! is factorial, it means you multiply that number by every integer counting backwards towards 1. 6! is 6×5×4×3×2×1. There is an option to do this on your calculator, though.
Let's solve this problem.
[tex]_{5}P_{4}=\frac{5!}{(5-4)!}= \frac{120}{1} =120[/tex]
This means that there are 120 permutations.
QUESTION 101
Now we have a C. This is similar to permutations but with combinations order does not matter. With our line example, having the same six kids in alphabetical order is a different permutation than having it in backwards alphabetical order. With combinations, if you have those specific six kids, it is just one combination; the order does not matter.
The formula for combinations is [tex]\frac {n!}{r!(n-r)!}[/tex]. Let's plug in our numbers and solve for this.
[tex]_{8}C_{2}=\frac{8!}{2!(8-2)!} =\frac{8!}{2!(6!)}=\frac{40320}{1440} =28[/tex]
QUESTION 102
Quick note: 0! is equal to 1. I don't really know why but there's probably proof somewhere.
[tex]_{7}C_{0}=\frac{7!}{0!(7-0)!} =\frac{7!}{7!} =1[/tex]
And I believe you already have Question 103 figured out.
4!=4×3×2×1=24
Have a wonderful day! :D
Calculate the distance between the two quantities: 4 ft and 12 ftCalculate the distance between the two quantities: 4 ft and 12 ft
Answer:
8 feet
Step-by-step explanation:
Distance can be explained as the way to measure how far a thing or something is apart from each other numerically, it shows how close or far apart between two point
From the question, we are given two point
Point1= 12 feet
Point 2= 4 feet
Then Distance between the two point= 12feet-4feet
= 8feet
Hence the distance= 8 feet
(8x3-3x2+x)+(2x2-5x+4)
Answer:
-4x+26
Step-by-step explanation:
Answer:
[tex] \boxed{ \bold{ { \boxed{ \sf{8 {x}^{3} - {x}^{2} - 4x + 4}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{(8 {x}^{3} - 3 {x}^{2} + x) + (2 {x}^{2} - 5x + 4)}[/tex]
When there is a ( + ) in front of an expression in parentheses , no need to change the sign of each term. That means , The expression remains the same. Also , remove the unnecessary parentheses
⇒[tex] \sf{8 {x}^{3} - 3 {x}^{2} + x + 2 {x}^{2} - 5x + 4}[/tex]
Collect like terms
⇒[tex] \sf{8 {x}^{3} - 3 {x}^{2} + 2 {x}^{2} - 5x + x + 4}[/tex]
⇒[tex] \sf{8 {x}^{3} - {x}^{2} - 4x + 4}[/tex]
Hope I helped!
Best regards!!
The graph of the function, f(x)=x^2-5x-7 opens __ and has a ____ value.
Answer:
opens UP and has a minimum value.
Step-by-step explanation:
The given quadratic function opens UP (the branches of the associated parabola open up) because the coefficient that accompanies the leading term (leading coefficient) is positive.
Since the graph is a parabola with arms pointing up, the graph should have a minimum located at the vertex of the parabola.
calculate the perimeter of a triangle whose dimensions are 1m 60cm, 1m 80cm and 2m.
Answer:
5 m 40 cmStep-by-step explanation:
a = 1 m 60 cm = 1.6 m
b = 1 m 80 cm = 1.8 m
c = 2 m
perimeter = a + b + c = 1.6 + 1.8 + 2 = 5.4 m = 5 m 40 cm
★ AnsWer :
➨ 540 cm
★ Step by step Explaination :
Let triangle be ABC,
1m = 100 cm
[tex]\begin{lgathered}\bullet\:\:\textsf{AB = 1m 60cm = \textbf{160 cm}}\\\bullet\:\:\textsf{BC = 1m 80cm = \textbf{180 cm}}\\\bullet\:\:\textsf{CA = 2m = \textbf{200 cm}}\end{lgathered}[/tex]
[tex]\setlength{\unitlength}{1.5cm}\begin{picture}(6,8)\linethickness{0.5mm}\qbezier(1,.5)(2,1)(4,2)\qbezier(4,2)(2,3)(2,3)\qbezier(2,3)(2,3)(1,0.5)\put(.7, .3){$C$}\put(4.05, 1.9){$B$}\put(1.7, 2.95){$A$}\put(3.2, 2.5){\sf{160 cm}}\put(0.7,1.7){\sf{200 cm}}\put(2.7, 1.05){\sf{180 cm}}\end{picture}[/tex]
[tex]\rule{130}1[/tex]
[tex]\underline{ \large \purple{ \mathscr{\dag\:A \bf{ccording} \: to \: \mathscr {Q} \bf{uestion} ....}}}[/tex]
[tex]\begin{lgathered}\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}}=Sum\:of\:all\:sides\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = AB + BC + CA\\\\\\\dashrightarrow\tt\:\: Perimeter_{{\tiny\triangle ABC}} = 160 + 180 + 200\\\\\\\dashrightarrow\:\:\underline{\boxed{\tt Perimeter_{{\tiny\triangle ABC}} = 540 \:cm}}\end{lgathered}[/tex]
[tex]\therefore\:\underline{\textsf{Perimeter of triangle ABC is \textbf{540 cm}}}.[/tex]
NEED HELP ASAP ALGEBRA 2
Find the third side in the simplest radical form
Select the correct answer. What is the domain of the function represented by this graph? y10 B 6 18 2 16 2 A -26 +5 2 B. a all real numbers OC 40 OD 2
Answer:
B. all real numbers
Step-by-step explanation:
The domain is the values for the input
The values that x takes for this function is all real values
The Answer Is:
All Real Numbers
Twice the difference between of a number 5 ?
Answer:
2(x-5)
Step-by-step explanation:
the number will be ''x''
difference between the number (x) and 5 =
x-5
twice the difference is =
2(x-5)
I really need help with this question. can someone help me!
Answer:
144
Step-by-step explanation:
Using the rule of radicals
[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]
Given
4[tex]\sqrt{2}[/tex] × 6[tex]\sqrt{18}[/tex]
= 4 × 6 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{18}[/tex]
= 24 × [tex]\sqrt{36}[/tex]
= 24 × 6
= 144
convert 15/2 into a mixed number
Answer:
1 ⁵/2........ .......
.
Answer:
Step-by-step explanation:
[tex]\frac{15}{2}=7\frac{1}{2}[/tex]
How many solutions does -6 + 2x = 3x have?
5 (3x) – 7y2 =?, when x = 3 and y = 2
Answer:
5(3x)-7y^2.
5(3×3)-7(2×2).
45-28=17.
(9.5 minus 3 times 1 and one-half) divided by 0.5 0.5 5 10 19.5
Answer:
Your value expression is 10
Step-by-step explanation:
We know that [tex]1\frac{1}{2}=\frac{3}{2}=1.5[/tex]
The value experssion:
Giving: [tex]\frac{9.5-3(1\frac{1}{2}) }{0.5}[/tex]
Change [tex]1\frac{1}{2}[/tex] into a whole number: [tex]\frac{9.5-3(1.5)}{0.5}[/tex]
Multiply 3 into 1.5: [tex]\frac{9.5-4.5}{0.5}[/tex]
Divide: [tex]\frac{5}{0.5}[/tex]
Your answer equals: 10
I need help pleasee!!!!!
Answer:
) 3.3
2) 1.7
3) 8.8
4) -8.55
5) 3.22
6) 7.48
Step-by-step explanation:
Given f(x) = 7x - 4 and g(x) = -3x + 2, find (f+g)(x)
Answer:
[tex](f+g)(x) = 4x - 2[/tex]Step-by-step explanation:
f(x) = 7x - 4
g(x) = -3x + 2
To find (f+g)(x) add g(x) to f(x)
That's
[tex](f+g)(x) = 7x - 4 + (- 3x + 2) \\ = 7x - 4 - 3x + 2 \\ = 7x - 3x - 4 + 2[/tex]We have the final answer as
[tex](f+g)(x) = 4x - 2[/tex]Hope this helps you
Answer:
[tex]\Large \boxed{(f + g)(x) = 4x - 2}[/tex]
Step-by-step explanation:
We have two functions.
f(x) = 7x - 4
g(x) = -3x + 2
To find (f+g)(x), we have to find the sum of f(x) and g(x).
(f+g)(x) = f(x) + g(x)
(f + g)(x) = 7x - 4 + -3x + 2
Combining like terms.
(f+g)(x) = 7x - 3x - 4 + 2
(f + g)(x) = 4x - 2
m-m-1/2=1-m-2/3
Pls help me with this question fast
Answer:
m=5/6
Step-by-step explanation:
arrange all the "m's" at the left side and the numbers at the right side doing that we get
m-m+m=1-2/3+1/2
m=5/6
HELP ME PLEASE
Which expression is equivalent to
3
4
-
1
2
?
A)
3
4
+
1
2
B)
3
4
+ (-
1
2
)
C)
3
4
- (-
1
2
)
D) -
3
4
+ (-
1
2
)
Answer:
B
Step-by-step explanation:
34-12=22
34+(-12)=22
+x- = -
+x+ = +
-×-= +
You are playing basketball with your friends. The height (in feet) of the ball above the ground t seconds after a shot is released from your hand is modeled by the function f(t)= -16t^2 + 32t + 5.2. What is the value of t when the ball is released from your hand ?
Answer:
2.15 seconds
Step-by-step explanation:
Given the equation of the height (in feet) of the ball above the ground t seconds after a shot is released from your hand modeled by the function
f(t)= -16t² + 32t + 5.2 where t is in seconds.
Note that the value of the height at the point the ball is released from the hand is 0 feet.
To get value of t when the ball is released from your hand, we will substitute f(t) = 0 into the modeled equation as shown;
f(t)= -16t² + 32t + 5.2
-16t² + 32t + 5.2 = 0
Multiply through by 10
-160t² + 320t + 52 = 0
Dividing through by -4
40t² - 80t - 13 = 0
t = 80±√80²-4(40)(-13)/2(40)
t = 80±√6400+2080/80
t = 80±√8480/80
t = 80±92.09/80
t = 80+92.09/80
t = 172.09/80
t = 2.15 secs
Hence, the value of t when the ball is released from your hand is approximately 2.15seconds.
2. One school has 97 students.
Another school has 72 students.
How many more students does the
larger school have?
Answer:
25
Step-by-step explanation:
97-72= 25
Hope this helped!
Answer:
25
Step-by-step explanation:
97-72= 25
Select the correct answer.
Consider the function fx) = 10' and the function g(x), which is shown below. How will the graph of g(x) differ from the graph of
g(t) = f(x – 6) = 10(– 6)
Answer choice options are above.
Answer:
B The graph of g(x) is the graph of f(x) shifted to the right 6 unit
Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units
What is a Function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given,
[tex]f(x) =10^{x}[/tex]
[tex]g(x)=f(x-6)=10^{(x-6)}[/tex]
f(x) shift right 6 units to get f(x-6)
Given that
g(x) = f(x-6)
Therefore graph of g(x) is the graph of f(x) shifted to the right 6 units
Hence, Relation between the graph of g(x) and f(x) is option (B) The graph of g(x) is the graph of f(x) shifted to right 6 units
Learn more about Function here
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