Answer:
[tex](\frac{390625}{256 } )[/tex]
Step-by-step explanation:
The exponent decides how much times does the base needs to multiply itself. In the given expression, the exponent is 4. Thus, 6 1/4 needs to multiply itself 4 times.
⇒ [tex](6 \frac{1}{4}) ^4[/tex]Convert 6 1\4 into improper fraction
⇒ [tex](\frac{25}{4} ) ^4[/tex]⇒ [tex](\frac{25}{4})(\frac{25}{4})(\frac{25}{4})(\frac{25}{4})[/tex]⇒ [tex](\frac{25^{4}}{4^{4} } )[/tex]⇒ [tex](\frac{390625}{256 } )[/tex]Thus, the simplified fraction is [tex](\frac{390625}{256 } )[/tex].
h(x) = 1/3x - 1 if h (15)
Answer:
(
h
∘
f
∘
g
)
(
x
)
is known as a composite function. Here's how composite functions work:
let's say that
x
=
1
. Your function
g
(
x
)
=
1
3
(
x
)
now produces a
y
output of
1
3
, since
g
(
1
)
=
1
3
(
1
)
. Within a composite function, the y-value of one function becomes the x-value of the next, like so:
g
(
1
)
=
1
3
⇒
f
(
1
3
)
=
17
3
⇒
h
(
17
3
)
=
17
Therefore,
(
h
∘
f
∘
g
)
(
1
)
=
17
Based on this, to find the function for
(
h
∘
f
∘
g
)
(
x
)
(combined from right to left, by the way), simply replace
x
in
f
(
x
)
with the function
g
(
x
)
, and replace
x
in
h
(
x
)
with the function of
(
f
∘
g
)
(
x
)
, to get
(
h
∘
f
∘
g
)
(
x
)
.
This, simplified, is equal to
2
x
+
15
, and therefore
(
h
∘
f
∘
g
)
(
1
)
=
2
(
1
)
+
15
=
17
Hope that helps!
Write 3 x 3 x 3 x 3 x 3 x 3 as a power. Then find the value of the power 3 x 3 x 3 x 3 x 3 x 3 = The value of the power is
Answer:
3 to the 6th and it has a value of 3 times 6 witch is 18 so ya
Step-by-step explanation:
just think about pull factors
Answer:
3^6 = 729
Step-by-step explanation:
There are 800 students in Aiden's middle school. Aiden wants to know how many families at his school recycle. Which would provide the best sample?
A) Ask 80 students randomly selected from a student list
B) Ask 8 students randomly selected from each grade
C) Ask the students who are members of the environmental club
D) Ask all the students in student government
Also can you please explain why the letter you chose is a good sample?
Plus, if you're answering this question, thank you so very much.
the difference of a number t and 7 is greater than 10 and less than 20. write as an equation or inequality
Answer:
20>x-7>10
hope it will help you
Carrie wants to make pancakes for her family for breakfast. The recipe on the box states that 10 2/3 cups of dry pancake mix are needed to make 24 pancakes. Carrie wants to make half of the recipe to make 12 pancakes. In simplest form, how many cups of dry pancake mix will she need in order to make 12 pancakes?
A
16/3
B
5 2/3
C
5 1/3
D
21 1/3
=======================================================
Explanation:
The box says 10 & 2/3 cups of mix will make 24 pancakes.
Carrie only wants to make half that and only wants 12 pancakes.
So we'll divide the mixed number in half.
This means we divide each piece of the mixed number in half like so
10 divided by 2 = 52/3 divided by 2 = 1/3, which you can think of it like 2/2 = 1 then place that over 3.Overall, the mixed number 10 & 2/3 divides in half to get 5 & 1/3 which is the final answer.
------------
To check the result, notice that
2*5 = 102*(1/3) = 2/3Meaning that doubling 5 & 1/3 lands us on 10 & 2/3.
The answer has been confirmed.
For Exercises 1-4, describe a sequence of five correct or incorrect
answers that would produce each Math Fever score. Write a number
sentence for each score.
1. Super Brains: 300
2. Rocket Scientists: 200
3. Know-It-Alls: 250
4. Teacher's Pets: 0
which expression is equivalent to 8/6?
8√6 = √64 x √6 = √(64x6) = √384
Answer:
D
Step-by-step explanation:
[tex] \sqrt{14 } = cannot \: be simplified \: further[/tex]
[tex] \sqrt{48} = \sqrt{16} \sqrt{3 } = 4 \sqrt{3} [/tex]
[tex] \sqrt{96} = \sqrt{16} \sqrt{6} = 4 \sqrt{6} [/tex]
[tex] \sqrt{384} = \sqrt{64} \sqrt{6} = 8 \sqrt{6} [/tex]
Which function is represented by the graph?
a. f(x) = −2|x| + 1
b. f(x) = |x| + 1
c. f(x) = -2|x + 1|
d. f(x) = |x + 1|
pls help
Answer:
Step-by-step explanation:
The vertex is at x=0, so you can eliminate c and d.
To check if its a or b, you can notice that since it opens down, the coefficient of |x| must be negative, making it a.
Will give Brainliest, like, comment, 5 stars, and 5 points to best answer
Write an equation for converting the number of meters to kilometers. Use X for number of meters and Y for numbers of Kilometers.
Y= ?
harold must write a 2000 word composition for a history assignment of 480 words fill 3 pages how many pages will harlod have to write to complete the assingment
find the size of unknown angles
e) 100°+a°
Answer:
Ans=80
Step-by-step explanation:
You can see the picture for explanation.....
Have a good day ..!!
.. . Dear
EMERGENCY! PLEASE ANSWER ASAP!
Anwser 52 degrees
Step-by-step explanation:
first you figure out the 2 angles the triangle is missing so 28-90 would be 62
then to find the other unknown angle you solver for the larger triangle
so 90+48=138
180-138=42
42+62=104
104+2y-30=180
add 30
104+2y=210
-104
2y=106
divide by 2
y=53
I did it wrong :) don't pay attention to this comment XP
QuestioEvaluate the given expression if a = -2 and b = 5.
a3 + b2
. 71
. 17
. 21
. -17
1 5/6 * 2 * 3/4 + 1 5/6 * 1 * 3/4
Answer:
3 2/3
Step-by-step explanation:
Do the multiplications and then convert the denominator to the same number. Then add the fractions/numbers.
1 5/6 = 11/6
1 5/6 * 2 * 3/4 + 1 5/6 * 1 * 3/4
(11/6)*(2)*(3/4) + (11/6)*(1)*(3/4)
(11/6)*[(2)*(3/4) + (1)*(3/4)] [Factor out (11/6) to make it easier to calculate, if you want]
((11/6)*(6/4) + (11/6)*(3/4))
(66/24) + (22/24) [The denominators are now both 24, so the numerators may be added]
88/24 = 3 (16/24) or 3 2/3
(11/6)*(2)*(3/4)
(11/6)*(1)*(3/4)
if P1 is (3,-3) and the midpoint is (-2,1), what are the points of P2?
Step-by-step explanation:
Hey there!
The points P1(3,-3) and midpoint is (-2,1). Let (X,y) be the end point.
Note: Find through using midpoint formula.
midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )
Put all values.
(\frac{X+3}{2},\frac{-3+y}{2})
Since they are equal, equating with it's corresponding components.
\frac{3 + x}{2} = - 2
-2 = 3 + x
-4 -3= x
Therefore, X= -7.
Now,
[tex] \frac{ - 3 + y}{2} = 1[/tex]
[tex] - 3 + y = 2[/tex]
Therefore, y= 5
Therefore, the other end point is (3,5).
Hope it helps...
What is the value of the function at x=−2?
A) y=−2
B) y = 0
C) y = 2
D) y = 3
Your cafeteria line requires 8 minutes on the average for each customer to proceed through the line and pay the cashier. The average time space between each customer is 30 seconds. If the line is open for 14 hours for lunch, how many customers can you serve for lunch?
Answer:
99 customers.
Step-by-step explanation:
Ok so
14 hours = 840 minutes
Each customer requires 8 and a half minutes
8 minutes (to proceed through the line)
and
30 seconds (the interval time in between to get to another customer)
840 minutes ÷ 8.5 = 98.8..
Therefore, you can approximately serve 99 customers in 14 hours.
I didn't simply round that up, but the last customer does not need the 30 seconds of interval so therefore, you would get to serve 99 customers in 14 hours anyway.
Evaluate the expression. Write your answer in simplest form.
1920+(−1820)+1720+(−1620)+ ... +(−420)+320+(−220)+120
0 or something? i'm not sure?
Step-by-step explanation:
?
How many complete rotations does the minute hand of a clock make as it moves from 12:00 noon to 4:00 p.m.? rotations
Answer:
60 x 4 = 240 times
Step-by-step explanation:
In every hour there are 60 minutes.
That means for every hour the minute hand moves 60 times
Take the amount of hours and times it by 60 ( Hours x 60 )
The minute hand of the clock completes 4 rotations as it moves from 12:00 noon to 4:00 p.m
What is complete rotation of minute hand ?In a clock there are second hand, minute hand and hour hand, all rotates anticlockwise. If the minute hand come at the same place after start rotating from that place , then the rotation is called one complete rotation.
Since 1 complete rotation of a minute hand takes 60 minutes, which is one hour.
Therefore, In one hour the minute hand completes one rotation.
Thus, after first complete rotation of minute hand the time will be 1:00 p.m.
After two complete rotation of minute hand the time will be 2:00 p.m.
After three complete rotation of minute hand the time will be 3:00 p.m.
Similarly, after four complete rotation of minute hand the time will be 4:00 p.m.
Hence it takes 4 complete rotation of a minute hand to moves from 12:00 noon to 4:00 p.m.
To learn more about rotations click here:
https://brainly.com/question/27037238
#SPJ5
100 POINTS !!!!!
Michael has a lunch account at the cafeteria. Michael can estimate the amount of money left in his lunch account using the equation y = 48 - 5x, where x represents the number of days he eats lunch. What is the meaning of the slope in the equation?
A. Michael has $48 in his lunch account.
B. Michael spends $5 per day eating lunch at the cafeteria.
C. Michael has $43 in his lunch account after eating one day.
D. Michael spends $10 of his lunch account after eating two days.
Answer:
B. Michael spends $5 per day eating lunch at the cafeteria.Step-by-step explanation:
Given linear equation:
y = 48 - 5xMeaning of each term is:
y - money left in account48 - the y-intercept, the intial amount of money in Michael's account- 5 - the slope, money spent every dayx - number of daysAccording to above details the correct answer choise is B
Answer:
b
Step-by-step explanation:
bc i did the schoolnet thingy
Question 18 (5 points)
(01.02 LC)
In circumstances in which there is a recession, employees may have to (5 points)
оа
allow another person to negotiate their salary
Ob
increase production to reduce employer costs
ос
learn new skills or face unemployment
O O
d
relocate to find work that fits their skills
When there is a recession, the employees will have to с learn new skills or face unemployment.
What happens in recessions?Recessions are a period of low business productivity which means that jobs would become very competitive.
An employee should therefore learn new skills that will make them more attractive in the market or they will probably end up unemployed.
Find out more on recessions and unemployment at https://brainly.com/question/1286306.
#SPJ1
A kite is inscribed within a square with a side lengths of 9 units. A kite is inscribed in a square with a side length of 9 units. What is the area of the kite? 27. 5 square units 36. 0 square units 40. 5 square units 45. 0 square units.
Answer:
40.5 Units
Step-by-step explanation:
The area of a kite is A = (d1d2) / 2, where d1 and d2 are the diagonals of the kite.
Since the kite is inscribed in the square, and the sides of the square are 9 units, the diagonals of the kite are both 9 units.
d1 = 9 units
d2 = 9 units
A = (9units * 9units) / 2
A = 81units² / 2
A = 40.5 units²
Diego pays $4.50 for 3 pounds of bananas and 2 pounds of oranges. One pound of oranges cost $0.75 more than one pound of bananas let b represent the price per pound of bananas. Which equation represents the situation, and what is the price per pound of each fruit?
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Let banana = b
Oranges = a
3b + 2a = 4.50 - - - (1)
a = 0.75 + b - - - (2)
Substitute (2) into (1)
3b + 2(0.75 + b) = 4.50
3b + 1.5 + 2b = 4.50
5b = 4.50 - 1.50
5b = 3
b = 3/5
b = $0.6
a = 0.75 + 0.6
a = $1.35
1. The product of the first three terms of a geometric progression is 512.If the first term is a, and the
common ration is
(a) Express rin terms of a
(3 marks)
(b)Given that the sum of the three terms is 49
Answer:
sumala nimo tiguwang naman ka
ILL GIVE BRAINLY THING
Your class raised funds for an end of the year trip to an amusement park. It costs $150.00 to rent a school bus for the day plus $33.00 per student admission ticket. If your class raised $1000.00, how many students can attend?
Write an equation and solve
Answer:
25
Step-by-step explanation:
1000≥150+33(s)
1000-150=850
850≥33(s)
850/33=25.(numbers that don't matter because you can't have a decimal of a student)
You can take at most 25 students because you cant have a half a student.
please help thank you
Answer:
Step-by-step explanation:
I have another question about this. It's pretty simple. Thanks!!
Answer:
Quadratic Function!
solve pls brainliest
Answer:
22 1/2
Step-by-step explanation:
4 1/2 = 9/2
[tex]\frac{5}{1} *\frac{9}{2} =\frac{45}{2} \\\frac{45}{2} =22\frac{1}{2}[/tex]
Yellow light has a frequency of 5.2 × 1014 hz and travels at a speed of 3.0 × 108 m/s. what is the wavelength of yellow light, in meters? 5.8 × 10–7 m 2.2 × 10–6 m 1.7 × 106 m 8.2 × 1022 m
Wavelength is the ratio of speed and frequency. The wavelength of yellow light is 5.8 × 10⁻⁷ m. Then the correct option is A.
What is division?The division means the separation of something into different parts, sharing of something among different people, places, etc.
Yellow light has a frequency of 5.2 × 1014 Hz and travels at a speed of 3.0 × 108 m/s. Then the wavelength is given as
[tex]\lambda = \dfrac{v}{f}\\\\\\\lambda = \dfrac{3.0 \times 10^8}{5.2 \times 10^{14}}\\\\\\\lambda = 5.76\times 10 ^{-7} \approx 5.8 \times 10 ^{-7}[/tex]
More about the division link is given below.
https://brainly.com/question/369266
Answer:
A
Step-by-step explanation:
plss someone help my do this problem (a^14 • a^-6 / a^25)^3
Answer:
[tex]a^{-51} = \frac1{a^{51}}[/tex]
Step-by-step explanation:
When you're multiplying two powers with the same base (in our case, a) you add together the exponents.
[tex](\frac{a^1^4\cdot a^-^6}{a^{25}})^3 =\\(\frac {a^{14+(-5)}}{a^2^5})^3= (\frac {a^{14-6}}{a^2^5})^3 = (\frac {a^{8}}{a^2^5})^3[/tex]
Now, when you are dividing two powers with the same base (in our case, a again) you subtract the exponents:
[tex]= (a^{8-25})^3 = (a^{-17})^3[/tex]
Finally, when you're calculating the power of a power, you multiply the exponents together:
[tex]a^{-17\cdot 3} = a^{-51} = \frac1{a^{51}}[/tex]
At this point you just have to choose - or check with your book/teacher if you prefer a negative exponent, or a fraction.