Answer:
0.5
Step-by-step explanation:
Plug in -1 as x into the function:
f(-1) = -1 + 3/2
f(-1) = 0.5
[tex]\bf \underline{ \underline{Given : }}[/tex]
f(x) =x + 3/2
[tex]\bf \underline{ \underline{To \: be \: calculated : }}[/tex]
what is the value of f(-1) ?
[tex] \bf \underline{ \underline{Solution : }}[/tex]
[tex] \sf{f(x) = x + \dfrac{3}{2} }[/tex]
[tex] \rightarrow \sf {f( - 1) = ( - 1) + \dfrac{3}{2} }[/tex]
[tex] \rightarrow \sf{f( - 1) = \dfrac{ - 2 + 3}{2} }[/tex]
[tex] \rightarrow \sf{f( - 1) = \dfrac{ 1}{2} }[/tex]
[tex] \rightarrow \sf {f( - 1) = 0.5}[/tex]
A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over). How many degrees of freedom are there?
Answer: 3
Step-by-step explanation:
Given: A sample of 100 production workers is obtained. The workers are classified by gender (male, female) and by age (under 20, 20−29, 30−39, and 40 or over).
Here,
Total classes as per gender: k = 2 (male female)
Total classes as per age : m = 4 (under 20, 20−29, 30−39, and 40 or over)
Now , the degree of freedom = (k-1) ( m-1)
= (2-1) (4-1)
= (1)(3)
= 3
Hence, there are 3 degree of freedom.
Brooklyn is a waitress at a restaurant. Each day she works, Brooklyn will make a
guaranteed wage of $30, however the additional amount that Brooklyn earns from
tips depends on the number of tables she waits on that day. From past experience,
Brooklyn noticed that she will get about $9 in tips for each table she waits on. How
much would Brooklyn expect to earn in a day on which she waits on 17 tables? How
much would Brooklyn expect to make in a day when waiting on t tables?
Answer:
1. $183
2.30 + 9t
Step-by-step explanation:
Guaranteed wage =$30
Additional amount that Brooklyn earns from tips depends on the number of tables she waits on that day.
Each table Brooklyn waits on =$9
1. How much would Brooklyn expect to earn in a day on which she waits on 17 tables
Total wage= guaranteed wage + tips on each table
Total wage=$30 + $9x
Where x= number of tables Brooklyn waits on
If she waits on 17 tables
Total wage=$30 + $9x
=30 + 9(17)
=30+153
=183
Total wage=$183
2. How much would Brooklyn expect to make in a day when waiting on t tables?
Total wage=$30 + $9x
When x=t
Total wage= 30+9(t)
=30+9t
Total wage=30 + 9t
The area of floor and four walls of a room is 15m^2 and 32m^2 respectively. find the total surface area of the room
Surface area of the room:
area of ceiling + floor + the four walls
ceiling area = floor area
Total surface = 15 + 15 +32 = 62 m²
can someone plz help me!
Answer:
Step-by-step explanation:
from focus
[tex]\sqrt{(x+3)^2+(y-2)^2}[/tex]
from directrix
|y-4|
Use the number line below, where RS=7y+2, ST=5y+7, and RT=14y−3. a. What is the value of y? b. Find RS, ST, and RT.
Answer:
a. y = 6
b. RS = 44
ST = 37
RT = 81
Step-by-step explanation:
RS = 7y + 2
ST = 5y + 7
RT = 14y - 3
find:
a. y
b. RS, ST, RT
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
12y + 9 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
-----------------------------------
b.
RS = 7(6) + 2
RS = 44
ST = 5(6) + 7
ST = 37
RT = 14(6) - 3
RT = 81
Answer:
a. y = 6
b. RS = 44; ST = 37; RT = 81
Step-by-step explanation:
RS + ST = RT
7y + 2 + 5y + 7 = 14y - 3
group like terms
7y + 5y + 2 + 7 = 14y - 3
9 + 3 = 14y - 12y
12 = 2y
y = 12/2
y = 6
plug in values to solve RS, ST, RT
RS = 7(6) + 2 = 44
ST = 5(6) + 7 = 37
RT = 14(6) - 3 = 81
The sum of three numbers is 125. The first number is 7 more than the first. The third number is 4 times the second.What are the numbers
Answer:
15, 22, 88
Step-by-step explanation:
I assume you mean the second number is 7 more than the first. Write the system of equations:
x + y + z = 125
y = x + 7
z = 4y
Substitute the third equation into the first.
x + y + 4y = 125
x + 5y = 125
Substitute the second equation.
x + 5(x + 7) = 125
6x + 35 = 125
6x = 90
x = 15
Solve for the other variables.
y = 22
z = 88
what do you do when you simplify like variables with different exponents for example: I have 3x^(5)y^(8) + 2x^(5)y^(7) when I simplify 3x and 2x give me 5x^(5) but I don't know what to do with the different exponents in the y variables do I separate the variables and end with 5x^(5)y^(8)y^(7)?
Because both the x and y variables are associate with a value, you don’t just add 3x and 2x.
You have:
3x^5y^8 + 2x^5y^7
Apply the exponent rule a^b+c = a^ba^c
This means x^5y^8 = x^5y^7y
Now you have:
3x^5y^7y + 2x^5y^7
Since they both now have an x^5y^7 in them factor the out of both:
When you take that out it’d both numbers you are left with 3y + 2
The final answer is: X^5y^7(3y +2)
Davon marks a 4-inch paper strip into equal parts as shown below. Label the whole and quarter inches on the paper strip.
Answer:
Step-by-step explanation:
Divide the length of the paper strip into four equal sections of 1 inch each.
Mark the left end of the strip '0' and the right end '4.' Label the '1,' '2,' '3' points.
Between these marks, label the strip as follows:
'1/4,' '1/2,' '3/4,' 1 (already marked), '1 1/4,' '1 1/2,' and so on.
Next time, please be sure to share ALL parts of the question with which you want help. Thank you.
A fish bowl contains blue, green and red plastic fish.
Answer:
Please comment on this answer what the real question is.
Step-by-step explanation:
Two boys earn money mowing lawns. Jacob mowed 12 lawns this week. He mowed 3 times as many lawns as Kevin mowed. In which equation does the box represent the number of lawns Kevin mowed?
Answer:
Kevin mowed 4 lawns.
Step-by-step explanation:
If you take 12, and divide it by 3, you get 4. Which is how many lawns Kevin mowed.
(I'm not sure about the boxes because there wasnt a picture, but good luck!)
Solve for z.
5
y = ZW - ZC
Step-by-step explanation:
5y = ZW - ZC
5y = Z(W - C)
5y / W- C = Z(W -C) / W - C
Z = 5y / W - C
Given: if A and B, then C. Given: the if-then statement reverse is also correct. Given A is false, B is false, what is c?
Conditional statements are statements that are either true or false, based on certain conditions.
The value of c is true
The condition is given as:
If A and B, then C
Where:
[tex]\mathbf{A = false}[/tex]
[tex]\mathbf{B = false}[/tex]
The reverse means that:
If not A and not B, then C
This means that:
[tex]\mathbf{not\ A = not\ false}[/tex]
[tex]\mathbf{not\ B = not\ false}[/tex]
So, we have:
[tex]\mathbf{not\ A = true}[/tex]
[tex]\mathbf{not\ B = true}[/tex]
For an and condition to be true, both values must be true.
So, we have:
If not A and not B, then C
Substitute known values
If true and true, then C
Because both values are true, then the value of C will also be true
Read more about conditional statements at:
https://brainly.com/question/10714086
Which rational number could be graphed between -3 and -4
Answer:
-3.5
Step-by-step explanation:
An example is -3.5.
If AY parallel to CX, then find ∠ABC
please help!!!!!!!!!!!!!!!!!!!
Answer:
60°
Step-by-step explanation:
Through point B draw a line m || AY || CX and take two points say E and F on left and right side of point B respectively.
Therefore,
m∠FBC + m∠XCB = 180°..(By interior angle property)
m∠FBC + 130° = 180°
m∠FBC = 180° - 130°
m∠FBC = 50°....(1)
Next,
m∠ABF = m∠BAY... (Alternate angles)
m∠ABC + m∠FBC = 110°
(since, m∠ABF = m∠ABC + m∠FBC)
m∠ABC + 50° = 110° (From equation 1)
m∠ABC = 110° - 50°
[tex] \huge \purple {\boxed {m\angle ABC = 60\degree}} [/tex]
How many points need to be removed from this graph
so that it will be a function?
O 1 point
O 2 points
O 3 points
O 4 points
Answer:
3 points
Step-by-step explanation:
If you do the vertical line test, there are 3 points that need to be removed, as there can only be 1 x value for every y value in order for it to be a function.
Answer:
3 points
Step-by-step explanation:
if you do the vertical line check you can see that there are 3 lines with 2 points on one line vertically. for it to be a function it would need to only have one so you would need to remove one from each line.
5^3 x 2^5 x 10^2 as a product of prime
Answer:
400000
Step-by-step explanation:
(03.06 LC) What is the value of |−44|? Numerical Answers Expected! Answer for Blank 1:
Answer:
44
Step-by-step explanation:
For any real number x, if x > 0 then |x| = x, otherwise, if x < 0 then |x| = -x. In this case, x = -44 which is less than 0, therefore, |-44| = -(-44) = 44.
Answer:
It would be 44
Step-by-step explanation:
Because it takes 44 units to get to the positive number 44
doctor better than teacher debate
Answer:
Teachers are the one that teach the doctors how to do their profession. They are both critical parts of society and should both be respected. Though doctors work with patients and determine what problems they have and how to help solve them. They work on treatments and can reassure patients in tough situations. They only goal is to help others and keep everyone has happy and healthy as possible.
-3x + 2y = 8 Which of the following graphs represents the equation above?
Answer:
-3x + 2y = 8
Simplifying
-3x + 2y = 8
Solving
-3x + 2y = 8
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
-3x + 2y + -2y = 8 + -2y
Combine like terms: 2y + -2y = 0
-3x + 0 = 8 + -2y
-3x = 8 + -2y
Divide each side by '-3'.
x = -2.666666667 + 0.6666666667y
Simplifying
x = -2.666666667 + 0.6666666667y
Step-by-step explanation:
Answer:
All i know is that it's not X
Step-by-step explanation:
I got it wrong on edmentum :/
Based on the sample of 500 people, 42% owned cats. Calculate the test statistic. Round to two decimal places.
Answer:
z= 3.63
z for significance level = 0.05 is ± 1.645
Step-by-step explanation:
Here p = 42% = 0.42
n= 500
We formulate our null and alternative hypotheses as
H0: p= 0.42 against Ha : p> 0.42 One tailed test
From this we can find q which is equal to 1-p= 1-0.42 = 0.58
Taking p`= 0.5
Now using the z test
z= p`- p/ √p(1-p)/n
Putting the values
z= 0.5- 0.42/ √0.42*0.58/500
z= 0.5- 0.42/ 0.0220
z= 3.63
For one tailed test the value of z for significance level = 0.05 is ± 1.645
Since the calculated value does not fall in the critical region we reject our null hypothesis and accept the alternative hypothesis that more than 42% people owned cats.
Pleaasee answer!!!!!!!!!!!!!!!!!!!!
Answer:
C Mark me as brainliest!!!
Step-by-step explanation:
7x - 3y = 4
2x - 4y = 1
The solution to the system of equations is _____.
A:(13/34, -15/34)
B:(3/22, -7/22)
C:(13/22, 1/22)
Answer:
My answer is option C.
Step-by-step explanation:
Since you cannot eliminate it immediately then you will need to multiply it by each of the number to make them equal that means you will multiply the first equation by any number in the second equation that is you can use maybe -4 or 2 or 1. and then do the same to the other equation to make them equal...if you use 2 in the second equation for the first equation and you use 7 in the first equation for the second equation the you will make them equal which makes them easier to eliminate and then when you find y which is y=1/22 then you can substitute it into any of the equation and find your x which is x=13/11.
Answer: option c
Step-by-step explanation:
Integrated Potato Chips paid a $2 per share dividend yesterday. You expect the dividend to grow steadily at a rate of 4 percent per year. a. What is the expected dividend in each of the next 3 years? b. If the discount rate for the stock is 12 percent, at what price will the stock sell? c. What is the expected stock price 3 years from now? d. If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments? Compare your answer to (b).
Answer:
Kindly check explanation
Step-by-step explanation:
Given that:
Dividend paid (D) = $2
Growth rate (g) = 4% per annum = 0.04
Expected Dividend in each of the next 3 years :
1st year : $2 * 1.04 = $2.08
2nd year : $2.08 * 1.04 = $2.16
3rd year: $2.16 * 1.04 = 2.2464 = $2.25
B) If the discount rate for the stock is 12 percent, at what price will the stock sell?
Discount rate (r) = 12% = 0.12
Price of stock = Dividend / (r - g)
Price of stock = 2 / (0.12 - 0.04)
Price = 2 / 0.08 = $25
c. What is the expected stock price 3 years from now?
(2.25 * 1.04) / 0.08
2.34 / 0.08 = $29.25
D) If you buy the stock and plan to hold it for 3 years, what payments will you receive? What is the present value of those payments?
Dividend to be received from year 1 to 3
2.08, 2.16, 2.25
Stock price in 3rd year = 29.25
Present value :
(29.25/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08 / 1.12^1) = 26.00
For year 1 :
D = 2.08
Stock price = 2.16/0.08 = 27
Present value (PV) = (27/1.12) + (2.08/1.12) = 25.96
Year 2 :
D = 2.16
Stock price = 2.25/0.08 = 28.125
cashflow = (2.16 + 28.125) = 30.285
PV = (28.125/1.12^2) + (2.16/1.12^2) + (2.08/1.12^1) = 26.00
Year 3:
D = 2.25
STOCK PRICE = 29.25
Total Cashflow = (2.25 + 29.25) = 31.5
PV = (31.5/1.12^3) + (2.25/1.12^3) + (2.16/1.12^2) + (2.08/1.12^1) = $27.60
show that Lim lx-2l/x-2 does not exist
Answer:
Actually It Does Lx-21/x-2 you have to find out what the Letter x stands for and what the letter L stands For for you to be able to find the answer
Step-by-step explanation:
simplify the expression i^37
im pretty sure that it is
i
Answer:
i
Step-by-step explanation:
[tex] \huge {i}^{37} \\ \huge= {i}^{36} \times i \\ \huge = ( {i}^{2})^{18} \times i \\\huge = ( - 1) ^{18} \times i \\ \huge = 1 \times i \\ \huge = i \\ \\\huge \therefore {i}^{37} = i[/tex]
(5 points) The probability of rain on any day in the month of April is 34%. The probability that it will be windy on any day in the month of April is 38%, and the probability of both is 10%. What is the probability that a randomly selected day in April will be rainy or windy?
Answer:
0.62
Step-by-step explanation:
Probability of rain = 34% = 0.34
Probability of wind = 38% = 0.38
Probability of wind and rain = 10% = 0.1
P(wind U rain) = p(wind) + p(rain) - p(both)
= 0.34 + 0.38 -1
= 0.62
The probability that it would be rainy or sunny in any given day in April is 62%
If 223x=78,find x. If 223x=78, find x
Answer:0.3273542601
Step-by-step explanation:
73÷223=0.3273542601
The ratio of people who walk to school to people ride the bus to school is 1:7. If there are 13 walkers, how many students ride the bus?
Answer: 91 students ride the bus
For this problem, you can set up a proportion where:
w = those who walk to school
r = those who ride the bus to school
[tex] \frac{w}{r} = \frac{w}{r} [/tex]
Then include the ratio (1:7) as a fraction (1/7) and the value that is known (13).
[tex] \frac{1}{7} = \frac{13}{x} [/tex]
Cross multiply (create an "x").
[tex]1 \times x = 7 \times 13[/tex]
[tex]x = 91[/tex]
When John mom went grocery shopping she bought 5 cans of corn for $1.00 each she bought 4 cases of water for $4.00 she also bought 4 pounds of meat for $2.00 per pound she paid with$30.00 how much change did she have?
Answer:
$1
Step-by-step explanation:
5 cans of corn -- 5 * $1 = $5
4 cases of water -- 4 * $4 = $16
4 pounds of meat -- 4 * $2 = $8
Paid with -- $30
Change required -- 30 - 8 - 16 - 5 = $1
John's mom will get $13 change back from the grocery shopkeeper.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given that,
5 cans of corn ⇒ $1.00/can
So cost 5 × 1 = $5
4 cases of water ⇒ $4.00 (remember not given "each")
So cost ⇒ $4
4 pounds of meat ⇒ $2.00 per pound
So cost 4 × 2 = $8
Now,
Total cost = 5 + 4 + 8 = $17
So,
Change = 30 - 17 = $13
Hence "John's mom will get $13 change back from the grocery shopkeeper".
To learn more about the arithmetic operators,
brainly.com/question/25834626
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cost of fuel is 1.45/L how much would 60L cost
Answer:
multiply the cost by the total number of liters needed: $1.45/L *60L = $87