Answer:
Step-by-step explanation:
From the given information.
suppose a multiple choice test consists of 5 questions, each with 4 possible answers of which 1 is correct.:
So, we can now suggest that a person can answer each question in 4 different ways given that there are 5 different questions.
Thus, the students can check off one answer to each question in [tex]4^5 \ different \ ways[/tex]
= 4 × 34 × 4 × 4 × 4
= 1024 different ways.
From the 4 possible answers, since 1 will be correct, definitely 3 other answers will be incorrect.
Thus, the number of ways a student can check off one answer to each question and get all the answers wrong is = 3⁵
= 3 × 3 × 3 × 3 × 3
= 243 ways
x-2 =3 (x-4) two column proof but i can figure out the reasons on my own.
Answer:
5
Step-by-step explanation:
Step 1:
x - 2 = 3x - 12
Step 2:
- 2 = 2x - 12
Step 3:
10 = 2x
Step 4:
5 = x
Hope This Helps :)
Crude oil imports to one country from another for 2009–2013 could be approximated by the following model where t is time in years since the start of 2000. I(t) = −33t2 + 800t − 3,000 thousand barrels per day (9 ≤ t ≤ 13) According to the model, approximately when were oil imports to the country greatest?
Answer:
Import in 2012 was the greatest
Step-by-step explanation:
Given
l(t) = -33t² + 800t - 3000
9 ≤ t ≤ 13
Required
Determine the year with highest import.
To do this we simply substitute the values of t from 9 to 13 in the given function.
When t = 9
l(t) = -33t² + 800t - 3000
l(9) = -33 * 9² + 800 * 9 - 3000
l(9) = -33 * 81 + 800 * 9 - 3000
l(9) = -2673 + 7200 -3000
l(9) = 1527
When t = 10
l(10) = -33 * 10² + 800 * 10 - 3000
l(10) = -33 * 100 + 800 * 10 - 3000
l(10) = -3300 + 8000 - 3000
l(10) = 1700
When t = 11
l(11) = -33 * 11² + 800 * 11 - 3000
l(11) = -33 * 121 + 800 * 11 - 3000
l(11) = -3993 + 8800 - 3000
l(11) = 1807
When t = 12
l(12) = -33 * 12² + 800 * 12 - 3000
l(12) = -33 * 144 + 800 * 12 - 3000
l(12) = -4752 + 9600 - 3000
l(12) = 1848
When t = 13
l(13) = -33 * 13² + 800 * 13 - 3000
l(13) = -33 * 169 + 800 * 13 - 3000
l(13) = -5577 + 10400 - 3000
l(13) = 1823
Comparing the values of l(t) for the range of t = 9 to 13,
The highest value of l(t) is:
l(12) = 1848
Hence, the year with the highest import is 2012
The oil imports to the country are greatest during the year 2012
Given the model where t is time in years since the start of 2000 expressed as I(t) = −33t² + 800t − 3,000
The oil imports more oil during the year 2012, is t = 12
I(12) = −33(12)² + 800(12) − 3,000
I(12) = -33(144) + 9600 - 3000
I(12) = -4752 + 6600
I(12) = 1848
Hence the oil imports to the country are greatest during the year 2012
Learn more on functions here: https://brainly.com/question/17192405
In June 2012, Twitter was reporting 400 million tweets per day. Each tweet can consist of up to 140 characters (letter, numbers, etc.). Create a comparison to help understand the amount of tweets in a year by imagining each character was a drop of water and comparing to filling something up
what is 3/5 times 9/7
Answer:
[tex] \frac{27}{35} \\ [/tex]
Step-by-step explanation:
If you are going to multiply fractions, you just going to multiply their numerators and denominators and simplify when needed.
[tex] \frac{3}{5} \times \frac{9}{7} \\ \frac{3 \times 9}{5 \times 7} \\ \frac{27}{35} [/tex]
Which statement best explains whether these ordered pairs represent a function? (-4, 2) (6, 7) (-8, 3) (9, 10) (12, 14) (6, 9)
Answer:
These ordered pairs does NOT represent a function.
Step-by-step explanation:
One of the x-values repeast (6), which is not a characteristic of a function. Because so, it also does not pass the vertical line test because it would pass through the points twice.
plz help i need to rase my grade
The average of anything is calculated by adding up all the terms in the data set and dividing by the amount of terms in the data set.
In this problem,
The average = $1000
the amount of terms = 3
x = the amount earned Sunday
($1073 + $1108 + x) / 3 = $1000
First, multiply both sides by 3
$1073 + $1108 + x = $3000
Add together like terms
$2181 + x = $3000
Subtract $2181 from both sides.
x = $819
The restaurant needs to earn $819 on Sunday to have an average of $1000
I need to know this I don’t understand and it is last one
Answer:
The answer is 4x
Step-by-step explanation:
Hope this helped
what is88226 X 9991?
Answer:
881465966
Step-by-step explanation:
S1. Three numbers are in the ratio of 2:3:4. The sum of their cubes is 3,34,125. Find the numbers.
Answer:
Step-by-step explanation:
sum of their cubes=0.334125
The ratio of three numbers is 2:3:4.
Let the numbers be 2x, 3x and 4x.
Cubes of numbers = (2x)^3, (3x)^3, (4x)^3 = 8x^3, 27x^3, 64x^3
(8x^3) + (27x^3) + (64x^3) = 99x^3
99x^3 = 0.334125
x^3 = (0.334125) / 99
x^3 = 0.003375
x^3 = (0.15)^3
x = 0.15
Therefore, the numbers are (2 x 0.15), (3 x 0.15) and (4 x 0.15) i.e. 0.3, 0.45 and 0.6
y varies directly with x Part 1
19. If y = 4 when x = -2, find x when y = 6
20. If y = 6 when x = 2, find x when y = 12
21. If y = 7 when x = 2, find x when y =3
Answer:
19. -3
20. 4
21. 6/7
Step-by-step explanation:
Since the variables are proportional, you can multiply the given x value by the new/old ratio of y-values.
19. x = 6/4(-2) = -3
20. x = (12/6)(2) = 4
21. x = (3/7)(2) = 6/7
what is square root of 64?
Answer:
8
Step-by-step explanation:
8*8=64
Margo baked 120 cookies for the school big sale 84 of the cookies were chocolate chip what portion of the cookies were chocolate chip select the three correct answers a 42/60 B 84% C7/10 D 0.70 E 0.84
Please help. Look at the picture
Answer:
QR = 16
Step-by-step explanation:
Because PML ~ TRQ
So PM / TR = ML / RQ
35 / 14 = (7x-9) / (2x+2) = 5/2
2(7x-9) = 5(2x+2)
14x-18 = 10x + 10
4x = 28
x= 7
=> QR = 2(7) + 2=16
Porsches mom told her to choose 3 crayons out of a box
Savannah's balance in her checking account was –$638.57. She deposited two checks, each in the amount of $298.40. What is Savannah’s new checking account balance after the deposits?
A tourist information center is between a bus station and a train station. When mapped on a grid, the tourist information center is located at (1,4) and the bus is located at (-3,7) The train station is located at point
Answer: The train station is located at point (5,1).
Step-by-step explanation:
Given: On a grid, information center is located at (1,4) and the bus is located at (-3,7).
A tourist information center is between bus station and train station.
i.e. tourist information center is a mid point of line joining bus station and train station.
Midpoint between (a,b) and (c,d) is given by :-
[tex](x,y)=(\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex]
Let (a,b) be the coordinates of train station , then
[tex](1,4)=(\dfrac{-3+a}{2},\dfrac{7+b}{2})\\\\\Rightarrow\ 1=\dfrac{-3+a}{2}\ \ \ , 4=\dfrac{7+b}{2}\\\\\Rightarrow\ 2=-3+a\ \ \ , 8=7+b\\\\\Rightarrow\ 2+3=a\ \ \ , 8-7=b\\\\\Rightarrow a= 5,\ \ b=1[/tex]
Hence, the train station is located at point (5,1).
In comparing different job opportunities, you found that firm A will start your salary at
RM25000 per year and guarantee you a raise of RM1200 each year while firm B will start
your salary at RM28000 per year but will guarantee you a raise of RM900 each year.
(a) In what year of service the yearly salary from both firm will be the same?
(b) In what year of service the total salary from both firm will be the same?
(c) Hence, state the firm for which you should choose if you plan to work for 25 years.
Answer: the answer i think is c
What is equal to 15.9 divided by 3
Answer:
5.3
Step-by-step explanation:
Evaluate the difference quotient for the given function. Simplify your answer.
f(x) = 5 + 4x – x2,
f(3 + h) – f(3)
h
1-1-2h-h² x
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Please try again. To evaluate f(a + h), replace x by (a + h) in the expression for f(x). Substitute this
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What steps or reasoning did you use? Your work counts towards your score.
substituting (3+h) into the equation by replacing (3+h) where there is a x value we can get the quotient. Then repla
Answer:
-2-h
Step-by-step explanation:
It doesn't hurt to follow directions.
[tex]q=\dfrac{f(3+h)-f(3)}{h}=\dfrac{(5 +4(3+h)-(3+h)^2)-(5 +4(3)-(3)^2)}{h}\\\\=\dfrac{5-5+4(3+h-3)-((3+h)^2-3^2)}{h}=\dfrac{4h-(6h+h^2)}{h}\\\\=\dfrac{-2h-h^2}{h}=\boxed{-2-h}[/tex]
__
Steps: substitute 3+h and 3 for x in the definition of f(x) and simplify the result.
Can someone tell me the solutions to this please its urgent
Answer:
The first one is 20
The second one is 18
And the last one is 4
-3x - 9y = 18
Solve for y
Steps to solve:
-3x - 9y = 18
~Add 3x to both sides
-9y = 18 + 3x
~Divide -9 to everything
y = -1/3x - 2
Best of Luck!
10 decreased by twice a is 23
THERE YOU GO I HAVE TO TYPE WORDS
Find the slope intercept form of the equation of the line through the points(2,-4) parallel to the line 8x+2y+2=0
Answer:
y = -4x + 4
Step-by-step explanation:
8x+2y+2=0
turn that into slope intercept form:
y = -4x - 1
a parallel line has the same slope, but different y-intercept
y = -4x + b
put (2,-4) into the equation
-4 = -4(2) + b
you get b=4
final product:
y = -4x + 4
Chin researched the body weight, in pounds, of professional football players. He created a table of different sample means from his data. Sample Sample Mean (pounds) 1 240 2 236 3 245 4 243 5 238 6 242 Which statements are true? Select three choices. The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245. The actual population mean is greater than 245. The population mean is the average of the sample means.
Answer:
The variation in the sample means makes it possible to make predictions about the population mean. The actual population mean is greater than 236. The actual population mean is less than 245.Step-by-step explanation:
Sample data
1 2 3 4 5 6240 236 245 243 238 242Mean = sum of sample data/sample frequency
(240+236+245+243+238+242)/6 = 240.67Answer choices:
The variation in the sample means makes it possible to make predictions about the population mean.
Correct.The actual population mean is greater than 236.
Correct. 240.67 > 236The actual population mean is less than 245.
Correct. 240.67 < 245The actual population mean is greater than 245
Incorrect.The population mean is the average of the sample means.
Incorrect.Answer:
It is numbers 1, 2, and 3!
Step-by-step explanation:
kx-fy=cx+p for x ????????????
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=[tex]\frac{p + fy}{K - c}[/tex]
y = 4x - 5.
Graph the math problem
Answer:
so first put a dot on -5 on the y axis then go up 4 and to the right 1 and put a second dot and connect them
Round $537.307 to the nearest cent
Answer:
$531.31
round to the nearest cent is round to 2 decimal places
Answer:
537.31 hope this helps you out
Find the dimensions of a rectangle whose width is 8 miles less than its length and whose area is 105 square miles
Area of a rectangle = w*l
w = width
l = length
In our problem,
Area = 105mi^2
l = x
w = x - 8
Let's plug our values into the formula above.
105mi^2 = x(x - 8)
Distribute the x
105mi^2 = x^2 - 8x
Subtract 105mi^2 from both sides.
0 = x^2 - 8x - 105
Let's factor the right side.
0 = (x - 15)(x + 7)
Set both terms equal to 0
x - 15 = 0
Add 15 to both sides.
x = 15
x + 7 = 0
Subtract 7 from both sides.
x = -7
Since the length cant be a negative number, 15 is the correct answer.
Length = x = 15 mi
Width = x - 8 = 15 - 8 = 7 mi
The length of the rectangle is 15 miles while the width is 7 miles.
What is a rectangle?A rectangle is a geometrical figure in which opposite sides are equal.
The angle between any two consecutive sides will be 90 degrees.
The perimeter of rectangle = 2( length + width).
Suppose the length is L while the width is W.
Area of rectangle = length × width.
L x W = 105
W = L - 8
By substitution,
L x (L - 8) = 105
L² - 8L - 105 = 0
L² - 15L + 7L - 105 = 0
L(L - 15) + 7(L - 15) = 0
(L + 7)(L - 15) = 0
L = -7, L = 15
Since length will not be negative thus L = 15 miles.
W = 15 - 8 = 7 miles
Hence "The length of the rectangle is 15 miles while the width is 7 miles."
For more about rectangles,
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Point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and
RT = 3x + 1, determine the numerical length of RT.
Answer: 49
Step-by-step explanation:
The numerical length of RT is 49 units if point S is on the line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
Point S is on line segment RT.
ST = 2x – 10,
RS = 2x - 5, and
RT = 3x + 1,
RT = RS + ST
3x + 1 = 2x - 5 + 2x - 10
The above equation is representing a linear equation in one variable.
After simplifying:
3x + 1 = 4x - 15
4x - 3x = 15 + 1
x = 16
RT = 3x + 1
Plug x = -14
RT = 3(16) + 1
RT = 48 + 1
RT = 49
The numerical value of RT = 49
Thus, the numerical length of RT is 49 units if point S is on line segment RT. Given ST = 2x – 10, RS = 2x - 5, and RT = 3x + 1.
Learn more about the linear equation here:
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Think of a number. Double the number. Substract 6 from the result and divide the answer by 2. The quotien will be 20. What is the number?
Answer:
23 is your answer hope this helps
Answer:
The number is 23
Step-by-step explanation:
23*2=46
46-6=40
40/2=20
The answer is 23
Hope that helps!