Answer:
40 years old
Step-by-step explanation:
If Jay has spent 3/8 of his life working for his current company and it is stated that he has been at the current company for 15 years, we can divide 15 years by 3 to find out how much a single part of the fraction (1/8) is.
15 / 3 = 5 years
5 years = 1/8
Now that we know how many years is a single part of his life we simply multiply this value by 8 to calculate how many years would equal his total life or in other words how old Jay currently is.
5 years * 8 = 40 years old
13(9−6m)+14(12m−8)
Find the sum
Answer:
=90m+5
Step-by-step explanation:
hope this helps
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.
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.
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.
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
A wooden artifact is found in an ancient tomb. Its carbon-14 14 6 C activity is measured to be 65.0% of that in a fresh sample of wood from the same region. Assuming the same amount of 14C was initially present in the artifact as is now contained in the fresh sample, determine the age of the artifact.
Answer:
3560.622 yr
Step-by-step explanation:
See the attachment for calculation details
Translation: In your notebook, do the operations and answer each of the cases, mark with an arrow the shortest way to get to the treasure following the clues whose result is even.
Please help!
Step-by-step explanation:
Solo te puedo dar respuestas para algunas (lo siento) Los puse en orden, cuadros izquierdos a derechos, de los que no contestaste
3,200,000 -> 3.2x10^6 notacion cientifica
4 x 3 + 9 - 7 = 14
356 / 2 = 178
12^4/12^3 = 12
1448 / 8 = 181
78923 x 13 = 1,025,999
Segundos de 17 minutos es 60 x 17 = 1,020
10^-5 = 0.00001
3^3 = 3 x 3 x 3 = 27
3,561,201 - 104, 308 = 3,456,893
6^3 x 6^ 4 = 279, 936
Siglo actual = siglo 21
6. Slope =
Y-Intercept
Equation in slope-intercept form:
how many time can 22 go into 30
Answer:
1 time
Step-by-step explanation:
This is the answer because:
1) 22 x 1 = 22
2) If we do 22 x 2, the number will become larger than 30
3) Therefore, 22 can only go one time into 30 because 30/22 = 1 R8
Hope this helps!
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 :)
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
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
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
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
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
Brian is spending money at the average rate of $3 day. After 14 days he has $68 left. The amount left depends on the number of the days that have passed. How much money did brian start with
9514 1404 393
Answer:
$110
Step-by-step explanation:
At an average rate of $3 per day, in 14 days Brian will have spent ...
($3/day)(14 days) = $42
If he has $68 left, then he must have started with ...
$68 +42 = $110
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.
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]
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.
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
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%
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
1. The National Football League (NFL) has been finding new ways to reduce the risk of its players
getting concussions. For example, helmets have changed to keep players more safe. In the 2017-
2018 season, 190 athletes reported concussions out of 1700 total players. In the 2018-2018
season, 135 concussions were reported out of total 1650 players.
a. Make a two way table displaying this information.
TOTAL
b. Calculate the risk of a football player reporting a concussion in 2017-2018 and 2018-2019.
C. Find the absolute risk reduction.
Answer:
Reduced/depressed
courageously/daringly
Boost/inflate
Explanation:
The following statement displays the recommendation of National Football League's(NFL) rule to wear new and lighter helmets by the players to diminish the chances of head injury during collisions between players. However, it has led the players to play more brazenly and fearlessly that eventually may cause the expansion of the number of collisions suffered by NFL players due to the valiant behavior of the players. This equates the ratio and leading to no improvement in the reduction of injuries among them even after this rule.
Lashonda has scored 69 , 65, and 77 on her previous three tests. What score does she need on her next test so that her average (mean) is 69?
Answer: 65
Step-by-step explanation:
We know that her three tests are 69,65,77 so far
in order to get her average at 69 we need to do the following:
69+65+77+x=(69x4)
211+x=276
x=276-211=65
if she will get a 65 her average will be 69
what is the slope of the line shown in graph
A. -2
B. -1
C. 1/-2
D. 1/2
Answer:
-1/2
Step-by-step explanation:
using rise over run its 1/-2 which is just -1/2
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
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!
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:
7/4 to 14 and X to 32 PLEASE HELP ME IM LEGIT BRANILESS
Answer:
X = 56/14 = 4
Step-by-step explanation:
I need help ._. Can u plz help me?
Answer:
#3
Step-by-step explanation: