Answer:
-1.961666666666
Step-by-step explanation:
The highest level of PEMDAS here is multiplication/division which is done left to right. So do 11/12 first.
11/12 (-2.4)
.916 (-2.4)
Then multiply to get an answer of -1.961666666 ( the six repeats forever)
Use place value multiplication with powers of 10 or equivalent fractions to explain what is happening mathematically to the decimal points in the divisor and the dividend before dividing
Answer:
436.8 x 100 / 62.08 x 100 = 43680/6208
Step-by-step explanation:
When you write the problem as a fraction, multiply the numerator and denominator by 100. Multiplying each by 100 resulted in both numbers being whole numbers. 436.8/62.08 is the same as 43,680/6,208.
For which pair of functions is (g circle f) (a) = StartAbsoluteValue a EndAbsoluteValue minus 2?
f(a) = a2 – 4 and g (a) = StartRoot a EndRoot
f (a) = one-half a minus 1 and g(a) = 2a – 2
f(a) = 5 + a2 and g (a) = StartRoot a minus 5 EndRoot minus 2
f(a) = 3 – 3a and g(a) = 4a – 5
Please explain in detail I am very confused about the whole thing thx for ur help in advance :)
Given:
[tex](g\circ f)(a)=|a|-2[/tex]
To find:
The functions f(x) and g(x).
Solution:
We know that,
[tex](g\circ f)(a)=g[f(a)][/tex]
If [tex]f(a)=a^2-4[/tex] and [tex]g(a)=\sqrt{a}[/tex], then
[tex](g\circ f)(a)=g[a^2-4][/tex]
[tex](g\circ f)(a)=\sqrt{a^2-4}\neq |a|-2[/tex]
Option A is incorrect.
If [tex]f(a)=\dfrac{1}{2}a-1[/tex] and [tex]g(a)=2a-2[/tex], then
[tex](g\circ f)(a)=g[\dfrac{1}{2}a-1][/tex]
[tex](g\circ f)(a)=2(\dfrac{1}{2}a-1)-2[/tex]
[tex](g\circ f)(a)=a-2-2[/tex]
[tex](g\circ f)(a)=a-4\neq |a|-2[/tex]
Option B is incorrect.
If [tex]f(a)=5+a^2[/tex] and [tex]g(a)=\sqrt{a-5}-2[/tex], then
[tex](g\circ f)(a)=g[5+a^2][/tex]
[tex](g\circ f)(a)=\sqrt{5+a^2-5}-2[/tex]
[tex](g\circ f)(a)=\sqrt{a^2}-2[/tex]
[tex](g\circ f)(a)=|a|-2[/tex]
Option C is correct.
If [tex]f(a)=3-3a[/tex] and [tex]g(a)=4a-5[/tex], then
[tex](g\circ f)(a)=g[3-3a][/tex]
[tex](g\circ f)(a)=4(3-3a)-5[/tex]
[tex](g\circ f)(a)=12-12a-5[/tex]
[tex](g\circ f)(a)=7-12x\neq |a|-2[/tex]
Option D is incorrect.
Therefore, the correct option is C.
Question 5
5 pts
Let f(x)
40e^.06t. What is the average rate of change of f over the
interval [0,3]? Give your answer as a decimal with one place of
accuracy to the right of the decimal point.
Answer:
[tex]R= 2.6[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 40e^{.06t[/tex]
[tex][a,b] = [0,3][/tex]
Required
Determine the average rate of change (R)
This is calculated as follows:
[tex]R = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex]a = 0[/tex] and [tex]b = 3[/tex]
Substitute 0 for a and 3 for b
[tex]R = \frac{f(3) - f(0)}{3 - 0}[/tex]
[tex]R = \frac{f(3) - f(0)}{3}[/tex]
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
Calculate f(3)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(3) = 40e^{.06*3}[/tex]
[tex]f(3) = 40e^{0.18}[/tex]
[tex]f(3) = 40 * 1.197[/tex]
[tex]f(3) = 47.88[/tex]
Calculate f(0)
[tex]f(x) = 40e^{.06t[/tex]
[tex]f(0) = 40e^{.06*0}[/tex]
[tex]f(0) = 40e^{0}[/tex]
[tex]f(0) = 40*1[/tex]
[tex]f(0) = 40[/tex]
So, the expression:
[tex]R = \frac{1}{3}[f(3) - f(0)][/tex]
[tex]R= \frac{1}{3}[47.88 - 40][/tex]
[tex]R= \frac{1}{3}[7.88][/tex]
[tex]R= 2.62666666667[/tex]
[tex]R= 2.6[/tex]
Hence, the average rate of change is approximately 2.6
Ms. Mickelson is purchasing some baseball shirts for her son’s baseball team. She will pay $10.50 for each shirt plus a one time fee of $20 for the team logo design. Which table best represents y, the total cost of x number of shirts?
Answer:
D.
Step-by-step explanation: {y1=mx1+b}
x1 l y1
------------------
8 l 104 <------------Answer
12 l 146
l
l
m = 10.5
b = 20
whats up wate is 3000+39645
Answer:
MARK ME BRAINLIEST BRO!!!!!!!!
Step-by-step explanation:
Over the summer, Jasper exercised 40 minutes a day.
After school began, Jasper figures he is exercising for
90 minutes a day. What is the percent increase?
Answer:
44%
Step-by-step explanation:
40/90 when put into a decimal is 0.4 repeating. Rounding that, it is 0.44, or 44%
A square has a side that is 5 meters long. What is the diagonal length of the square?
Answer:
5 meters
Step-by-step explanation:
a squares six sides are all equal, therefore if one side is 5 meters, all other sides are 5 meters
help!! how do i solve this and what is the answer??
Answer:
Yes you got it right.
Step-by-step explanation:
x= -7/4
x= -1 3/4, x= -1.75
FAST!!!
Which graph shows the point M(3, 5)?
5
M
4
4
3
3
M
2
2
1
1
A
B
1
3
2
4
0
5 X
0
1
4
2
5 X
3
5
4
4
3
3
2
N
M M
1
M
4
3
0
1
2
5 X
4
3
0 1 2
5 X
Answer:
graph A is the answer because the M is at the 3 and it move up 5
Which expression is equivalent to 3(x+4)? O A. 3x + 4x O B. 3 + x + 4 O C. 3x+4 O D. 3x + 12
Answer:
D.
Step-by-step explanation:
Multiply what's inside the parentheses by 3 to get the answer. 3x+12
Answer:
D. 3x+12
Step-by-step explanation:
3(x+4)
3*x=3x
3*4=12
3x+12
Which multiplication expression is equal to 1/2 ÷ 4/5?
A. 1/2 x 4/5
B. 2/1 x 4/5
C. 1/2 x 5/4
D. 2/1 x 5/4
Answer:
[tex]C. \frac{1}{2} \times \frac{5}{4} [/tex]
2500 + 110h < 3000 can you pls answer this
Answer:
4.5454545454545454. . .
Step-by-step explanation:
Original equation:
2500 + 110h < 3000
Subtract 2500 from both sides
110h < 500
Divide both sides by 110
h < 4.5 (rounded to the nearest tenth)
Hope this helps :)
Please consider Brainliest :)
Can you help find which are functions?
Answer:
A and C are Functions
Step-by-step explanation:
They pass the vertical line test.
The way you know if a set of coordinates are not a function is if they have multiple points that have the same Y value.
given: 2c=d-2b, c=a-b, d=a+b prove: a=b
Answer:
D
Step-by-step explanation:
ENJOY
OLMOST MERRY CRISLER
A stock analyst plots the price per share of a certain common stock as a function of time and finds that it can be approximated by the function S(t)=46+12e^−0.04t, where t is the time (in years) since the stock was purchased. Find the average price of the stock over the first six years.
Answer:
The average price of the stock over the first six years is 56.669 US dollars.
Step-by-step explanation:
Since the price is a continuous and differentiable function, we can determine the average price by means of the following integral equation:
[tex]\bar S = \frac{1}{t_{F}-t_{O}}\cdot \int\limits^{t_{F}}_{t_{O}} {S(t)} \, dt[/tex] (1)
Where:
[tex]t_{O}[/tex] - Initial time, measured in years.
[tex]t_{F}[/tex] - Final time, measured in years.
If we know that [tex]t_{O} = 0\,yr[/tex], [tex]t_{F} = 6\,yr[/tex] and [tex]S(t) = 46+12\cdot e^{-0.04\cdot t}[/tex], then the average price of the stock over the first six years is:
[tex]\bar S = \frac{46}{6-0} \int\limits^6_0 dt +\frac{12}{6-0}\int\limits^6_0 {e^{-0.04\cdot t}} \, dt[/tex]
[tex]\bar S = \frac{23}{3}\cdot t|\limits_{0}^{6}-\frac{2}{0.04}\cdot e^{-0.04\cdot t}|_{0}^{6}[/tex] (2)
[tex]\bar S = \frac{23}{3}\cdot (6-0)-\frac{2}{0.04}\cdot [e^{-0.04\cdot (6)}-1][/tex]
[tex]\bar S = 56.669\,USD[/tex]
The average price of the stock over the first six years is 56.669 US dollars.
List the number from greatest to least 3/2, 0.75,-24,-3/2
Answer:
3/2, 0.75,-3/2, -24
Step-by-step explanation:
I think that's the answer
37. A researcher believes that students who practice taking all of their regular tests on the computer
will do better on the State's final exam which is on the computer than the students taking their
regular tests by paper and pencil. Which would be the null hypothesis?
a.
H: The average on the state exam of the students using paper and pencil tests is greater than or
equal to the average on the state exam of the students using computer tests.
b. H.: The average on the state exam of the students using paper and pencil tests is greater than the
average on the state exam of the students using computer tests.
c. H: The average on the state exam of the students using paper and pencil tests is less than or
equal to the average on the state exam of the students using computer tests.
d. H: The average on the state exam of the students using paper and pencil tests is less than the
average on the state exam of the students using computer tests.
Answer:
D
Step-by-step explanation:
D option is correct xy=-10
if this was to u plzz mark me the brainliest
Pretty with this. this is worth 20
The walls of a square room need painting. Each of the four walls is 12ft wide by 8.5 feet tall. One gallon of paint covers 75ft2. How many gallons will you need
Answer:
5.44 gallons of paint
Step-by-step explanation:
First, we calculate the total area of the walls we need to paint. To do this, we use the formula for the area of a rectangle and we multiply our answer by 4, since there are 4 walls.
Area=(length*width)4
Area=(12*8.5)4
Area=(102ft^2)4
Area=408ft^2
Therefore, the total area of the walls is 408ft^2.
Now, we need to calculate the number of gallons we need to paint 408ft^2 worth of wall. Because we know that one gallon of paint covers 75ft^2, we can calculate this by dividing 408 by 75.
408/75
=5.44 gallons
Therefore, we would need 5.44 gallons of paint to paint the four walls.
I hope this helps!
PLZ HELP ME! THIS IS DUE TODAY!
Pretend a classmate missed the lesson today. What would you tell them about how to make a table to represent a rate? How would you tell them how to use the table to make a graph?
Answer:
In order to make a table representing a rate, you would have to find the unit rate of what you need. Then you would take it and multiply it by the multiple, or divide it by the factor needed.
Step-by-step explanation: Example
Unit rate=1:2
Make multiples and input into graph(the colons represent the graph)
input:output
[1:2]
[2:4]
[3:6]
[4:8]
[5:10]
Answer:
I would tell them to copy what I am doing
how many quarts of a 75% acid solution must be mixed with 3 quarts of a 10% acid solution to make a 60% acid solution
Answer:
yes it is correct tq
Step-by-step explanation:
my friend
Answer:
10 quarts.
Step-by-step explanation:
Work with amounts of pure acid.
There is 0.10*3 quarts of pure acid in the 10% solution.
3*0.10 + 0.75x = 0.60(x + 3) where x is the number of quarts of 75% acid.
0.30 + 0.75x = 0.60x + 1.8
0.15x = 1.5
x = 10 .
There are 30.48 centimeters in 1 foot. About many feet are equivalent to 500 centimeters?
Answer:
16.4 feet, so about 16 feet.
Step-by-step explanation:
500 / 30.48 = 16.4
write a word problem for 8x - 5 = 40
Answer:
Bob only has 40 dollars but he wants to buy a membership at the gym. It cost 8 dollars per month to receive a gym card. Bob went to the Gym in person so they gave him a 5 dollar off coupon. How many months can Bob buy?
Step-by-step explanation:
Answer:
eight and a variable subtracted by five equals forty
Step-by-step explanation:
7/4 to 14 and X to 32 PLEASE HELP ME IM LEGIT BRANILESS
Answer:
X = 56/14 = 4
Step-by-step explanation:
If i=sqr-1, what is the value of i^3?
-1
i
1
-i
Answer:
After solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
Step-by-step explanation:
We are given:
If [tex]i=\sqrt{-1}[/tex] we need to find the value of [tex]i^3[/tex]
Solving:
[tex]i=\sqrt{-1}[/tex]
Taking cube on both sides
[tex]i^3=(\sqrt{-1})^3\\[/tex]
We can write [tex]a^3= a^2.a^1[/tex] Using this for solving:
[tex]i^3=(\sqrt{-1})^2.(\sqrt{-1})\\We \ know \ (\sqrt{-1})^2 =- 1 \ and \ \sqrt{-1}=1 \\i^3=-1(i)\\i^3=-i[/tex]
So, after solving we get [tex]\mathbf{i^3=-i}[/tex]
Option D is correct.
I NEED HELP W 36
pls pls pls pls help help!
Answer:
1
Step-by-step explanation:
When you substitute the inside of f(g(2)), you get g(x)=2-4. Then you substitute that answer of -2 and plug it into f(x)=2x+5. Since f(-2)=2(-2)+5 equals to 1, that should be your answer.
9. A certain color paint should have a mix of blue and green in a ratio of 5:2.
needs to use 8 gallons of green paint, how many gallons of blue paint sho
order to obtain the right color?
Answer:
20 gallons of blue paint
Step-by-step explanation:
The ratio is blue to green right?
5:2
You already know the green
8
divide 8 by its part of the ratio.
8/2
4
Times 5 by 4
20
20 blue paints and 8 green paints.
is -3/7 a rational or irrational number?
Answer:
rational
Step-by-step explanation:
it can express as a ratio of two numbers, therefore it is rational. it wouldn't be rational if it was for example 0.333333 that goes on forever.
I need help ._. Can u plz help me?
Answer:
#3
Step-by-step explanation:
Use the Distributive Property to write an equivalent expression. 20 + 24g A. 4 (5 + 6g) B. 20 (1 + 4g) C. 5 (4 + 6g)
Answer:
A.
Step-by-step explanation:
4(5+6g)
4*5+4*6g
20+24g
The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.
The given expression is 20+24g.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression can be simplified as follows:
20+24g
= 4(5+6g)
The equivalent expression for the given expression is 4(5+6g). Therefore, option A is the correct answer.
To learn more about an equivalent expression visit:
https://brainly.com/question/28170201.
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