Answer:
100
Step-by-step explanation:
Moving the decimal point 2 places to the right is equivalent to multiplication by 100.
Both were multiplied by 100.
if f(x)=4x+3 and g(x)=x^2-3 then f(g(2))
Answer:
f(g(2))=7
Step-by-step explanation:
The Composite Function
Given f(x) and g(x) as real functions, the composite function [tex](f\circ g)(x)[/tex] is defined as:
[tex](f\circ g)(x)=f(g(x))[/tex]
It can be found by substituting g into f.
The given functions are:
[tex]f(x)=4x+3[/tex]
[tex]g(x)=x^2-3[/tex]
It's required to find f( g( 2 ) )
Find g(2):
[tex]g(2)=2^2-3[/tex]
Operating:
[tex]g(2)=4-3 =1[/tex]
g(2)=1
Now find f(1):
[tex]f(1)=4(1)+3[/tex]
[tex]f(1)=4+3 =7[/tex]
Thus:
f( g( 2 ) )=7
What's the lcm for 18, 27, 12? I got 648. Am not sure if it is correct. Can you please explain if it is correct or not?
Answer:
Step-by-step explanation:
Put these numbers into their prime factors.
18: 2 * 3 * 3
27: 3 * 3 * 3
12: 2 * 2 * 3
The LCM must have
two 2s
Three 3s
That's it
2*2 * 3 * 3 * 3
LCM = 108
648 might be a multiple of the three, but it's not the smallest one.
108 = 27 * 4
108 = 18 * 6
108 = 12 * 9
Can anyone answer this plz?
Answer:
Letter c is correct
Step-by-step explanation:
I solved each problem and Cleos was right
which equation could be used to find 150% of 500
Answer:
500x1.5
Step-by-step explanation:
The 10 largest bird wingspans are 9.1, 9.8, 9.2, 9.8, 11.8, 11, 8.2, 8.2, 11, and 11.8 inches. What are the range, interquartile range, and standard deviation of the wingspans?
Answer:
The range is 3.6
Step-by-step explanation
The range is equal to the largest # - the smallest #
Which mean: 11.8 - 8.2= 3.6
Step-by-step explanation:
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Which of the following is the slope of the line passing through each pair of points?
Point 1:(-9, -3)
Point 2:(-7, -5)
Please answer see the image please answer correctly, please
Step-by-step explanation:
not wrong that is super right
A motorboat moves across a lake. It begins at 50km from shore after 9 minutes it is 14 km from shore. What’s it’s distance from shore in a function
Answer:
List all of the solutions.
50 k m =
9 m i n u t e s =
14 k m =
Step-by-step explanation:
Answer:
y = -4x + 50
Step-by-step explanation:
To write the function we'll use y = mx + b, where y is the distance the boat is away from shore, m is how many km/minute the boat moves at, x is how many minutes it's been, and b is how many km away from shore the boat was at the start. We already know the value of b is 50, so we can put that into the equation:
y = mx + 50
To find how many km the boat moves per minute, let's use the given amount of minutes and km (9, 14) and put them into the equation:
14 = m(9) + 50
Now let's solve for m:
14 = 9m + 50
Subtract 50 from both sides to isolate the 9m:
14 - 50 = 9m + 50 - 50
- 36 = 9m
divide both sides by 9 to isolate the m:
-36/9 = 9m/9
-4 = m
The boat moves at -4 km/minute, which is the same thing as saying that after 1 minute passes, the boat gets 4km closer to the shore. Now we can input this value into the equation and we have our answer:
y = -4x + 50
Send your answers I will check if it is correct
Answer:
285, 7392, 15708, are divisible by 3 but not by 9
Step-by-step explanation:
it's because of we add the sun of the digits, 285, 7392, 15708, they are divisible by 3. actually, except for 629, all of them are divisible by 3, but 5490 and 43695 are both divisible by 3 and 9
Maxwell purchased $15,000 worth of 52-week T-Bills for $14,650. What will be the rate of return on his investment?
Answer:
2.39%
Step-by-step explanation:
Maxwell bought $15,000 worth of 52-week T-bills for $14,650
Therefore the rate of return on investment can be calculated as follows
= 15,000-14,650/14,650× 100
= 350/14,650 × 100
= 0.02389 × 100
= 2.39%
Hence the rate of return on this investment is 2.39%
Which of the following has the least value?
5/7; 7/8; 11/15; 7/10
Answer:
7/10
Step-by-step explanation:
solve 5 divide by 7 =0.714
solve 7 divided by 8 = 0.875
11 divided by 15 = 0.73333
7 divided by 10= .70
Draw a number line model to determine each sum 2.2 +-4.1
sorry if this isn't right
11"44
» QUESTION: 32 OF 32
Which of the following numbers are greater than 30 and less than the difference between 60 and 25?
Select all answers that apply:
A. 30
B. 32
C. 34
D. 36
E. 38
Answer:
B and C
Step-by-step explanation:
60-25= 35
So you have to pick the numbers between 30 and 35, but not 30 I believe.
The numbers greater than 30 and less than the difference between 60 and 26 were 32 & 34.
Step-by-step explanation:
Given:
Numbers : 30, 32, 34,36,38
To find:
The numbers greater than 30 and less than the difference between 60 and 25.
Solution:
30<N<(60-25)
30<N<35
Where:
N = Number greater than 30 and less than 45
Put, N=3030<30<35 ( not valid, 30 is equal to 30)
Put, N=3230<32<35 ( valid)
Put, N=3430<34<35 ( valid)
Put, N=3630<36<35 ( not valid, 36 is greater than 35)
Put, N=3830<38<35 (not valid,38 is greater than 35)
The numbers greater than 30 and less than the difference between 60 and 26 were 32 & 34.
Learn more about numbers here:
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A cell phone plan includes a monthly
rate of $19.95 plus $0.55 per minute for
international calls. The bill is $95.30.
Write and solve an equation to
determine how many minutes were
spent on international calls.
Please help
Answer:
137 minutes
Step-by-step explanation:
Un granjero tiene 100 vacas que pesan 125 kg cada una. El costo diario de mantenimiento de una vaca asciende a $ 5.00. Las vacas ganan peso a razón de 3 kg diarios. El precio en el mercado es ahora de 25 pesos por kg y esta bajando a razón de un centavo diario. ¿cuanto tiempo debe esperar el granjero para obtener una ganancia maxima al vender sus vacas?.
Answer:
25 days
Step-by-step explanation:
Assuming that the farmer waits for n days to get get the maximum profit.
Given that the total number of cows the farmer has, = 100
Currect weight of one cow = 125 kg.
Weight gain rate for one cow = 3 kg/day
So, weight gained by one cow in n days = 3n kg
Therefore, the weight of one cow after n days [tex]= 125 + 3n \;\;kg \cdots(i)[/tex]
Cost for keeping one cow = $5/day.
Cost for keeping one cow for n days = $ 5n
So, Cost for keeping 100 cows for n days [tex]= \$ 5n \times 100 =\$500n \cdots(ii)[/tex]
Current market price = 25 pesos / kg = 125 cents / kg [ as 1 peso = 5 cents]
The falling rate of market price = 1 cent /day.
Fall in price in n days [tex]= 1\times n = n[/tex] cents.
So, market price after n days [tex]= 125-n cent/kg\cdots(iii)[/tex]
By using equations (i) and (iii),
The selling price of one cow after n days [tex]= (125+3n) \times (125-n)[/tex] cents.
So, the selling price of 100 cows after n days [tex]= (125+3n) \times (125-n)\times 100[/tex] cents.
As 1 $ = 100 cents. so
The selling price of 100 cows after n days [tex]=\$ 5(125+3n) (125-n)\cdots(iv)[/tex].
Now, from equations (ii) and (iv)
Net profit, [tex]P = 5(125+3n) (125-n) - 500n\cdots(v)[/tex]
To get the maximum profit, differentiate the profit function in equation (v) with respect to n and equate it to zero to get the value of n, i.e
[tex]\frac {dP}{dn}=0 \\\\\Rightarrow \frac {d}{dn}(5(125+3n) (125-n) - 500n)=0 \\\\\Rightarrow 5[ (125+3n)(-1)+(125-n)(3)]-500=0 \\\\\Rightarrow 5[ -125-3n+375-3n]-500 =0 \\\\\Rightarrow 5[ -125-3n+375-3n]=500\\\\\Rightarrow 250-6n=500/5=100 \\\\\Rightarrow 6n = 250-100=150 \\\\\Rightarrow n= 150/6 = 25.[/tex]
Hence, the farmer has to wait for 25 days to get the maximum profit.
El granjero puede obtener ganancias máximas en el día 229.
En este problema debemos construir una función de ganancia ([tex]G[/tex]), en pesos, igual a la ganancia neta por venta de la carne de vacuno ([tex]N[/tex]) menos los costes de mantenimiento ([tex]M[/tex]). Cada una de las variables ha de considerar el cambio de los indicadores en función del tiempo, entonces:
Función de ganancia
[tex]G = N - M[/tex] (1)
Función de ganancia neta
[tex]N = (125+3\cdot t)\cdot 100\cdot (5-0.01\cdot t)[/tex] (2)
Función de mantenimiento
[tex]M = 5[/tex] (3)
Al aplicar (2) y (3) en (1) tenemos la siguiente fórmula:
[tex]G = (125 + 3\cdot t) \cdot 100 \cdot (5 - 0.01\cdot t) - 5[/tex]
[tex]G = (125 + 3\cdot t) \cdot (500-t) - 5[/tex]
[tex]G = 62500+1500\cdot t -125\cdot t -3\cdot t^{2}-5[/tex]
[tex]G = -3\cdot t^{2}+1375\cdot t +62495[/tex]
El día correspondiente a la máxima ganancia es el valor [tex]t[/tex] del vértice de la parábola. Una forma rápida es mediante herramientas gráficas. Aquí encontramos que el granjero puede obtener ganancias máximas en el día 229.
Para aprender más sobre funciones cuadráticas, invitamos a ver esta pregunta verificada: https://brainly.com/question/8495268
A company charges an initial fee plus an hourly rate to rent scooters. This table
shows the total cost to rent a scooter for different amounts of time.
Hours Total Cost
3 $25
5 $35
7 $45
What is the hourly rate (in dollars) that the company charges to rent a scooter?
Answer:
8.3, 7, 6.4 which is $21.07
Step-by-step explanation:
Answer:
8.333333333333 but round it to 8.3
Step-by-step explanation:
all u have to do it divide 25 and 3 and get 8.3333333 so then u round it to 8.3
Julie multiplies 6.27 by 7 and claims the product is 438.9. Explain without multiplying how you know Julie’s answer is not correct. Find the correct answer.
Answer:
SHe put the decimal point in the wrong spot, it's suppose to be 43.89
Step-by-step explanation:
Answer:
no because 438.9 divided by seven is 62.7
Step-by-step ex
During the month of April, it rains 2 days for every 3 days that it does not rain. What percent of the days in April does it rain?
Answer:
40%
Step-by-step explanation:
In month of April, the percent of raining will be 40 %.
Given that, In the month of April, it rains 2 days for every 3 days that it does not rain.
It means that in 5 days, 2 days raining and 3 days does not raining.
Number of days raining in 5 days = 2 days
Percent of raining is, [tex]=\frac{2}{5}*100 =40[/tex]
Hence, In month of April, the percent of raining will be 40 %.
Learn more:
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Tessa bought stock in a restaurant for $160.00. Her stock is now worth $224.00. What is the percentage increase in the value of Tessa's stock?
Answer:
64.00 was incressed
Step-by-step explanation:
Answer:
about 51-52 percent should be the answer
Step-by-step explanation:
please mark brainlyiest
geometry is experienced that in the early childhood setting through
playing with blocks??
Krutika was thinking of a number. Krutika doubles it and gets an answer of 26.5. What was the original number?
Answer:
2x + 8.7 = 64.9
Step-by-step explanation:
Answer:
13.25
Step-by-step explanation:
Which of the following numbers can be expressed as repeating decimals? (5 points) 4 over 7 , 2 over 5 , 7 over 8 , 4 over 9 4 over 7 and 4 over 9 7 over 8 and 4 over 9 4 over 7 and 2 over 5 2 over 5 and 7 over 8
Answer:
4/9
Step-by-step explanation:
Answer:
4/9 and 4/7
Step-by-step explanation:
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were:
The question is incomplete. Here is the complete question.
Every year, the students at a school are given a musical aptitude test that rates them from 0 (no musical aptitude) to 5 (high musical aptitude). This year's results were shown in the figure below.
The average (mean) aptitude score:
The median aptitude score:
Answer: mean: 2.73
median: 3
Step-by-step explanation: Mean is the average number of a set of numbers.
The table below shows a frequency of students to each score of the test. To calculate mean with a frequency table, do the following:
[tex]mean=\frac{\Sigma (score*frequency)}{\Sigma frequency}[/tex]
[tex]mean=\frac{0*1+1*5+2*0+3*3+4*3+5*3}{1+5+0+3+3+3}[/tex]
mean = 2.73
Median is the middle term of a set of data.
When there is a frequency table, median is calculated as:
1) First, determine the total number of observations (n).
For this table, n = 15
2) Because n is odd, find the position of the median using:
[tex]position=\frac{n+1}{2}[/tex]
position = 8th
3) The median will be in the 8th position. To find the position, we add the frequencies and in doing so, we notice the position we want is in the score 3 category. So, the median for this frequency table is 3.
Average score of a musical aptitude test is 2.73 and median is 3
Paul plans to buy a movie that has a regular price of $19.99. It is on sale for 25% off, but Paul will have to pay 6% sales tax. Round to your answer to the nearest whole number.
Answer:
16.00
Step-by-step explanation:
19.99 - 25% + 6% = 15.89 =16.00
7. What is the value of any real number raised to 0?
A. 1
C.O
B.
2
D. 3
Answer:
A. 1
Step-by-step explanation:
The value of any real number raised to 0 is 1.
AC = 39
2x-8
X+17
Find the length of AB
27
12
10
None of the other answers are correct
22
Answer:
Step-by-step explanation:
b
Answer:
12
Step-by-step explanation:
AB + BC = AC
(2x - 8) + (x + 17) = 39
3x + 9 = 39
x = 10
AB = 2(10) - 8 = 12
Write as a decimal -3/5
Answer:
-0.60
why? because the percentages match.
Rewrite 2/3 : 1/15 as a unit rate
Answer: 10:1
Step-by-step explanation:
I don’t know. I took my math exam and got the wrong answer, this is the correct one. i hope i helped someone :)
2/3 : 1/15 as a unit rate is [tex]10:1[/tex] .
What is a unit rate?A unit rate means a rate for one of something. We write this as a ratio with a denominator of one. For example, if you ran 70 yards in 10 seconds, you ran on average 7 yards in 1 second. Both of the ratios, 70 yards in 10 seconds and 7 yards in 1 second, are rates, but the 7 yards in 1 second is a unit rate.
According to the question
[tex]\frac{2}{3} : \frac{1}{15}[/tex] as a unit rate
As, unit rate is having denominator = 1
So,
[tex]\frac{2}{3} : \frac{1}{15}[/tex]
= [tex]\frac{2}{1} : \frac{1}{5}[/tex]
= [tex]10:1[/tex]
Hence, 2/3 : 1/15 as a unit rate is [tex]10:1[/tex] .
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Solve 2x^2 - 3x = 12 using the quadratic formula.
A) x = 3/4+√105/4i, x = 3/4-√105/4i
B) x = 3/4+√87/4i, x = 3/4-√87/4i
C) x = 3/4 + √87/4, x = 3/4-√87/4
D) x = 3/4 + √105/4, x = 3/4-√105/4
Answer:
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Step-by-step explanation:
2x² - 3x - 12 = 0
Using the quadratic formula which is
[tex]x = \frac{ - b \pm\sqrt{ {b}^{2} - 4ac} }{2a} \\ [/tex]
From the question
a = 2 , b = - 3 , c = - 12
So we have
[tex]x = \frac{ - - 3\pm \sqrt{ ({ - 3})^{2} - 4(2)( - 12)} }{2(2)} \\ = \frac{3\pm \sqrt{9 + 96} }{4} \\ = \frac{3\pm \sqrt{105} }{4} \: \: \: \: \: \: [/tex]
Separate the solutions
We have the final answer as
[tex]x = \frac{3}{4} + \frac{ \sqrt{105} }{4} \: \: , \: \: \: x = \frac{3}{4} - \frac{ \sqrt{105} }{4} \\ [/tex]
Hope this helps you
1. What is the slope of the line graphed below?
Coordinate 1:
Coordinate 2:
Slope:
Answer:
were is the line graphed?
Step-by-step explanation:
But I will help?
Answer:
I can't see the line but if you start at a point where the line crosses over an intersecting corner and find the next nearest corner where it intersects the slope will be however many up(or down - if its down its negative) you have to go/ how many sideways you have to go
ex:
so in example A the slope would be 2/1 which simplifies to 2 and in example B the slope would be -3/2