Answer:
20 degrees
Step-by-step explanation:
If ZWV = 115 then ZYX = 115.
115 + 45 = 160, 180 - 160 = 20
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
A company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shows the total cost to rent a bicycle for different amounts of time.
What is the initial fee, in dollars, that the company charges to rent a bicycle?
Answer:
4, 3.3, and 3.2 the answer would be $10.05
Step-by-step explanation:
The initial fee that the company charges is equivalent to $2.
What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is that a company rents bicycles to customers. The company charges an initial fee plus an hourly rate. This table shown in the question gives the total cost to rent a bicycle for different amounts of time.
Assume that the initial fee is equivalent to $x. Then we can write the charge function as -
C(x) = mx + c
Now -
C(x) = {(20 - 8)/(6 - 2)}x + c
C(x) = (12/4)x + c
C(x) = 3x + c
For (2, 8) , we can write -
8 = 3 x 2 + c
c = 8 - 6
c = 2
Therefore, the initial fee that the company charges is equivalent to $2.
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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.
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361.2 ÷ ________ = 036.12 (3 points)
a
1,000
b
100
c
10
d
1
Answer:
C. 10
Step-by-step explanation:
You can take the blank as x
so 361.2 / x = 36.12
multiply by x
361.2 = 36.12x
divide
x = 10
Answer:
C. 10
Step-by-step explanation:
When dividing a number by 10, you are moving the decimal place to the left by one placing.
361.2/10 = 36.12
Simply move the decimal from between 1 and 2 to between 6 and 1.
What is the length of side c?
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:
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
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
1. In order for cos 47 to equal sin A, what must the measure of angle A be?
Explanation:
The rule used here is
if sin(A) = cos(B), then A+B = 90.
In this case, B = 47, meaning that,
A+B = 90
A+47 = 90
A = 90-47
A = 43
Therefore,
sin(43) = cos(47)
Draw a number line model to determine each sum 2.2 +-4.1
sorry if this isn't right
HELP PLEASE THIS IS DUE MONDAY! :(( GIVING 25 POINTS !!!
Answer:
For 7m^2: 8.4
For .5m^2: .6
For 12 liters of paint: 10m^2
and for 6.6: 5.5m^2
Answer:
a) 8.4
b) 0.6
Step-by-step explanation:
a) 1.2L=1m^2
8.4L = 7m^2
7 times 1.2 is 8.4
b) 1.2L=1m^2
0.6L=0.5m^2
1.2 times 0.5 or 1.2 divided by 2 is 0.6
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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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%
5. Which of the following statements is true?
(a) Two acute angles can be complementary to each other
(b) Two obtuse angles can be complementary to each other
(c) Two right angles can be complementary to each other
(d) One obtuse angle and one acute angle can be complementary to each other
Write as a decimal -3/5
Answer:
-0.60
why? because the percentages match.
Please answer see the image please answer correctly, please
Step-by-step explanation:
not wrong that is super right
Use the drop-down menu to complete the statement. What is 3 divided by 2/5?
Answer:
0.3
Step-by-step explanation:
Tell me if it's wrong I have another answer
Answer:
2/5 is the correct answer.
Step-by-step explanation:
which equation could be used to find 150% of 500
Answer:
500x1.5
Step-by-step explanation:
WILL GIVE BRAINLIEST !!! What is the axis of symmetry for the function, f(x) = −2(x − 4)2 + 2 ?
Answer:
[tex]x=4[/tex]
Step-by-step explanation:
We have the function:
[tex]f(x)=-2(x-4)^2+2[/tex]
This is a quadratic in vertex form:
[tex]f(x)=a(x-h)^2+k[/tex]
Where (h, k) is the vertex.
So, according to the equation, h=4 and k=2.
Hence, our vertex is at (4, 2).
Remember that the axis of symmetry is the vertical line that passes through the x-coordinate of the vertex.
Hence, our axis of symmetry is x=4.
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
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
I need help on this again :(
Answer:
"Some whole numbers are irrational numbers" False
"Some rational numbers are not whole numbers" True
"Some irrational numbers are not integers" True
"All rational numbers are integers" False
Step-by-step explanation:
Answer:
Step-by-step explanation:
1). False
2). True
3). False (all irrational numbers are not integers)
4). False
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
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
You are interested in determining if the average amount of time (in hours) that students spend on the Internet per day is greater than 2 hours. The data below are from a random sample of 11 students. 2.5 100 .5 1 1.5 3 3.5 4 3 4 2.5 What did you notice from your preliminary analysis of the data
Answer:
The data is not appropriately normal.
Step-by-step explanation:
In inferential statistics, a normal distribution is said to be symmetric and should be single-peaked when working with a random selection of a large sample.
The high number of the sample is 100 which is further from other samples, the central limit theorem explains that the sample size of independent mean must be large enough to mimic the population for the sample to be normal or nearly normal. So, the sample is not appropriately normal and should be larger in size.
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:
Can anyone answer this plz?
Answer:
Letter c is correct
Step-by-step explanation:
I solved each problem and Cleos was right
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 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
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