Answer:
Step-by-step explanation:
2,000 600 9 0.7 0.05
What is the equation of a line when it is translated vertically down 4 units?
Answer:
y=[tex]x^{2}[/tex]-4
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
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.
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
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.
#SPJ2
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.
plz help me out if you can
Answer:
D $26
Step-by-step explanation:
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.
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 :)
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
Order the set of integers from least to greatest 5, -3, -12, 9
Answer:
-12, -3, 5, 9
Step-by-step explanation:
ok. So the numbers are 5, -3, -12, and 9.
In these numbers, there are 2 negatives. They are -12 and -3.
In negatives, the bigger the number is, the number is smaller.
So we first put
-12, -3 as our 2 first. Then the other ones are 5 and 9.
and you obviously know that 5 is less than 9. try it out. 9-5 =4 which is positive
So then you put 5, 9
And our full answer is
-12, -3, 5, 9
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.
7/4 to 14 and X to 32 PLEASE HELP ME IM LEGIT BRANILESS
Answer:
X = 56/14 = 4
Step-by-step explanation:
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]
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
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!
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%
I need help ._. Can u plz help me?
Answer:
#3
Step-by-step explanation:
Does the graph show a proportional relationship between x and y? Choose the correct answer below
Answer:
A (no because the graph is not a straight line)
Step-by-step explanation:
The rate of change is not consistent, and therefor is not proportional.
Answer:
(D) No, because the graph does not pass through the origin.
Step-by-step explanation:
because its the correct answer (im smart)
13(9−6m)+14(12m−8)
Find the sum
Answer:
=90m+5
Step-by-step explanation:
hope this helps
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.
given: 2c=d-2b, c=a-b, d=a+b prove: a=b
Answer:
D
Step-by-step explanation:
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
please help!!!
W +2/3 = -1/6
simplify your answer as much as possible
solve for W
Answer:
w= -5/6
Step-by-step explanation:
That the right answer
Mr. Parker jogs for 45 minutes each day. He jogs 5 days in week 1, 6 days in week 2, and 7 days in week 3. About how many minutes does he jog?
Answer:
810 min
Step-by-step explanation:
5+6+7=18
18x45=810
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
PLEASE HELPPPP!!
Which algebraic representation of a transformation on a coordinate grid does NOT preserve congruence?
A: (x,y) (x+6,+6)
B:(x,y) (-x,y)
C: (x,y) (6x,6y)
D: (x,y) (-y,x)
Answer:
qwsedfgh
Step-by-step explanation:
Jennifer wants to buy a new television set that regularly sells for $900. Because she works at the store, Jennifer will receive an employee discount of 30% off the regular price, but she will have to pay 6% sales tax on the adjusted price. What will be Jennifer's final cost to buy the television?
Answer:
$667.80
Step-by-step explanation:
30% of 900 is 270, so the price of the TV would be 630 without the tax. 6% of 630 is 37.8, so in total, the price would be $667.80
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.
whats the average rate of change from x = - 3 to x = 5
Answer:
0
Step-by-step explanation:
Average rate of change from x = -3 to x = 5.
When x = -3, y = -1. That is f(-3) = -1
When x = 5, y = -1, That is f(5) = -1
Average rate of change = [tex] \frac{f(b) - f(a)}{b - a} [/tex]
Where,
[tex] a = -3, f(a) = -1 [/tex]
[tex] b = 5, f(b) = -1 [/tex]
Plug in the values into the equation:
[tex] = \frac{-1 - (-1)}{6 -(-3)} [/tex]
[tex] = \frac{0}{8} [/tex]
[tex] = 0 [/tex]
Average rate of change = 0