Answer:
C. 105Step-by-step explanation:
2 min → 42 pages5 min → xCross-multiply and solve for x:
x = 5*42/2x = 105 pagesCorrect choice is C
If f(x) = x + 1 and g(x) = 2x - 7, which expression is equivalent to [fog|(3)?
Answer and Step-by-step explanation:
First, we plug in the value of 3 for x in g(x), then we plug the answer os g(x) into the value of x in f(x).
g(3) = 2(3) - 7
Multiply 2 by 3, then subtract 7.
g(3) = 6 - 7
g(3) = -1
Now, we plug -1 for x in f(x).
f(g(3)) = f(-1) = -1 + 1
f(-1) = 0
The value of f(g(3)) is 0.
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Three students, Matthew, Thompson and Amos shared #15000 in the ratio of 5:2:x respectively. If Matthew's share is 7500, calculate the value of x.
Answer:
The value of x is 3.
Step-by-step explanation:
Matthew earned 7500 of 15000, which is exactly half the total amount, meaning that the fraction corresponding to his earnings is 1/2.
Rate of 5:2:x, with number 5 corresponding to Matthew, mean that his fraction of the earnings, in function of x is given by:
[tex]\frac{5}{5 + 2 + x} = \frac{5}{7 + x}[/tex]
Both fractions are equal, so:
[tex]\frac{5}{7 + x} = \frac{1}{2}[/tex]
Applying cross multiplication:
[tex]7 + x = 10[/tex]
[tex]x = 10 - 7[/tex]
[tex]x = 3[/tex]
The value of x is 3.
Find the 5th term of the arithmetic sequence -5x – 5, -12x – 8,
- 19x – 11, ...
Answer:
5th term of AP = -33x - 17
Step-by-step explanation:
Given:
Arithmetic sequences;
[-5x - 5], [-12x - 8], [ - 19x - 11] , ...
Find:
5th term of AP
Computation:
First term a = [-5x - 5]
Common difference d = a2 - a1
Common difference d = [-12x - 8] - [-5x - 5]
Common difference d = -12x - 8 + 5x + 5
Common difference d = -7x -3
5th term of AP = a + [n-1]d
5th term of AP = [-5x - 5] + [5-1][-7x -3]
5th term of AP = [-5x - 5] + [4][-7x -3]
5th term of AP = [-5x - 5] -28x -12
5th term of AP = -5x - 5 -28x -12
5th term of AP = -33x - 17
a. Find three rational numbers between 1/4 and 0.25 repeating
b. Find three rational numbers between 1/3 and 0.34 repeating
By using the definition of rational numbers, we can get:
a) 0.2501, 0.2502, 0.2503b) 0.334, 0.335, 0.336How to find rational numbers?
Remember that a rational number is a number of the form:
N = a/b
Where a and b are integer numbers. Also, any number with a finite number of digits (or infinite repeating) after the decimal point is a rational point.
a) First, we want to find 3 rational numbers between 1/4 and 0.252525...
We can rewrite:
1/4 = 0.25
Then we want to find 3 rationals between 0.25 and 0.2525...
For example, 0.2501 meets this requirement, is larger than 0.25 and smaller than 0.2525...
Another two examples will be 0.2502 and 0.2503
b) Now we have 1/3 = 0.333... and 0.3434...
3 rational numbers between these two are:
0.333... < 0.334 < 0.3434...
0.333... < 0.335 < 0.3434...
0.333... < 0.336 < 0.3434...
If you want to learn more about rational numbers, you can read:
https://brainly.com/question/12088221
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Answer:
9.4 x 10^4= 470
hope it helps
Answer assappp hellpp
Let f(x) = 6x² - 54x+100 and g(x)=-3x² + 19. Identify the solution(s) of f(x) = g(x).
Answer:
x = 3
Step-by-step explanation:
f(x) = g(x)
[tex]6x^{2} - 54x + 100 = -3x^{2} + 19\\9x^{2} - 54x + 81 = 9(x^{2} - 6x + 9) = 0[/tex]
9(x - 3)(x - 3) = 0
x = 3
Anyone smart at math?
Answer:
The function f(x) = 4.95x represents the cost to purchase x pounds of chocolate from a candy company. The function g(x) = 0.99x + 2.25 models the cost to ship x pounds of chocolate from the company. Write a function, h(x), that models the total cost to purchase and ship x pounds of chocolate from the company.
Step-by-step explanation:
boom it is big now
Transform the given function f(x) as described. f ( x ) = x 3 Translate right 2 units Translate up 3 units
Answer:
Step-by-step explanation:
f(x) = x^3
To get this to move right, you must do the opposite to what you think you should do.
f(x) =(x - 2)^3.
That looks like it should go left, but it doesn't. It does go right. Suppose you want to know where (0,0) has moved to. If you put x = 2 into x - 2 you get a value of y = 0. That's where the point 0,0 has moved to. It has gone to 2,0
Now you want f(x) to move up 3 units.
f(x) = (x - 2)^3 + 3 The y value lf x = 2 moves up 3 units
Let's see if this is correct.
If you look at the graphs,
The red one is y = x^3The blue one is y = (x - 2)^3The green one is y = (x - 2)^3 + 3The point 0,0 has been marked for the blue one as it shifts to the right and becomes (2,0) and up 3 in the green graph.
An inflatable pool has sprung a leak. You place a 12-ounce cup under the leak and find that it fills
up in 50 seconds. How many gallons per hour is the swimming pool losing?
Answer:
6.75 gallons lost in 1 hour.
Step-by-step explanation:
1 US gallon = 128 ounces.
12 ounces takes 50 seconds.
x ounces takes 3600 seconds (which is 1 hour) Cross multiply
12 * 3600 = 50 x
43200 = 50 x Divide by 50
43200 / 50 = x
864 oz = x
So in 1 hour 864 ounces were lost.
Now there are 128 ounces in a gallon
1 gallon /128 ounces = x / 864 Cross multiply
864 * 1 / 128 = x
6.75 = x
There are 6.75 gallons in 1 hour
Ms. Moore has a garden in the shape of a rectangle with width measuring 8 km and a length measuring 14 km. What is the area of the garden? *
Use the graph that shows the solution to f(x) = g(x).
f(x) = 2x - 4
8(x) = 2x2 - 4
-4
-3
-2
1
f(x)
-2
-3
What is the solution to f(x) = g(x)?
Select each correct answer.
g(x)
x= -1
x = 0
x = 1
9(x) 4
-21
-5
-3
2
x = 2
-2
13
f(x)
Answer:
a
Step-by-step explanation:
put it into desmos and you get that
Please help I will give brainliest
Complete the square to find
the vertex of this parabola.
x2 - 2x + y - 4 = 0
([?], [ ]
Answer:
1,5 should be correct this should be correct let me know and mark me brainless if it is thanks
The vertex of the parabola is,
⇒ (1, 5)
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
Given that;
The equation is,
x² - 2x + y - 4 = 0
Now, We can change it into vertex of this parabola as;
x² - 2x + y - 4 = 0
x² - 2x + 1 - 1 + y - 4 = 0
(x - 1)² + y - 5 = 0
(x - 1)² = - y + 5
(x - 1)² = - 1 (y - 5)
Thus, The vertex of the parabola is,
⇒ (1, 5)
Learn more about the quadratic equation visit:
brainly.com/question/1214333
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Use the information and table to answer the following questions.
A sociologist was interested in determining if there was a relationship between the age of a young adult (18 to 35 years old) and the type of movie preferred. A random sample of 93 adults revealed the following data. Use a Chi-Square independence test to determine if age and type of movie preferred are independent at the 5% level of significance.
18-23 years old 24-29 years old 30-35 years old Totals
Drama 8 15 11 34
Science Fiction 12 10 8 30
Comedy 9 8 12 29
Totals 29 33 31 93
1. State the Null Hypothesis
A) Age and type of movie preferred are not independent.
B) Age and type of movie preferred are independent
C) Age and type of movie preferred are not the same
D) Age and type of movie preferred are related.
E) Cannot be determined.
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
B) Age and type of movie preferred are independent.
C) Age and type of movie preferred are not related
D) Age and type of movie preferred are superior.
E) Cannot be determined.
Answer:
1. B) Age and type of movie preferred are independent
2.A). Age and type of movie preferred are dependent.
Step-by-step explanation:
1. State the Null Hypothesis
B) Age and type of movie preferred are independent
2. State the alternative hypothesis.
A). Age and type of movie preferred are dependent.
This is chi square independence test therefore we will test the independence of the two factors age and the type of movie preferred.
The null hypothesis is formulated as
Age and type of movie preferred are independent
against the claim
Age and type of movie preferred are dependent.
f Andre sold 16 magazine subscriptions this week, would he reach his goal? Explain your reasoning.
Answer:
What are some other numbers of magazine subscriptions Andre could have sold and still reached his goal?
Write an inequality expressing that Andre wants to make at least $68.
Write an inequality to describe the number of subscriptions Andre must sell to reach his goal.
In July, Jannat did yard work for a total of 26 hours. For
all the hours Jannat worked, she earned $234. How
much money did Jannat make per hour doing yard work?
$7/hr
B
$9/hr
$15/hr
D
$35/hr
Answer:
$9/hr
Step-by-step explanation:
Find how much she earned by dividing 234 by 26:
234/26
= 9
So, Jannat made $9 per hour.
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Please answer question 3
Answer:
57/8 or 7 1/8
Step-by-step explanation:
I think that you would find how many times it fits in the graph which I found it fit three times so you would multiply th e length by three.
Marco has 2 bags of flour with 6 2/3 cups of flour in each bag. He makes 6 batches of muffins and uses 1 2/3 cups of flour for each batch. How many more batches of muffins can Marco make with the flour he has left?
Answer:what did you get
Step-by-step explanation:
Using an appropriately designed and analyzed study, a researcher observes a p-value of 0.010000. Consider the following propositions: PROPOSITION ONE: At the 5% significance level, the appropriate decision is to reject the null hypothesis; PROPOSITION TWO: At the 1% significance level, the appropriate decision is to reject the null hypothesis.
a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above
Answer: a.
a. PROPOSITION ONE is true and PROPOSITION TWO is true
b. PROPOSITION ONE is true and PROPOSITION TWO is false
c. PROPOSITION ONE is false and PROPOSITION TWO is true
d. PROPOSITION ONE is false and PROPOSITION TWO is false
e. None of the above
Marissa says that lines a and D will eventually intersect. Is she correct? Explain.
What’s is this answerrr
Answer:no, The lines are skew
Step-by-step explanation:
I took the test
Mr. Marlon buys these tickets for his family to visit the water park. The total cost is $210. Write and solve an equation to find the cost of each ticket.
Answer:
$52.50
Step-by-step explanation:
210 divided by 4 equals 52.50
Calculate the answer to the appropriate number of significant figures. (do not convert to scientific notation) 6.47 x 64.5
Answer:
[tex]6.47 \times 64.5 \\ = 417.315[/tex]
11 take away 2 times minus 7 plus 4
Answer:
(11 x 2) - 7 + 4
Is your algebra expression.
Part B.
What is the volume of each cubic block?
Answer:
1 / 36 ft³
Step-by-step explanation:
Length = 1/2 ft
Width = 1/6 ft
Height = 1/3 ft
The volume of the tank can be obtained using the relation :
Volume = Length * width * height
Volume = (1/2 * 1/6 * 1/3) ft³
Volume = 1 / 36 ft³
⚠️ PLEASE HELP !!!
which of the following diagram is a counterexample to this statement ? (Select all that apply)
Answer:
C. & D
Step-by-step explanation:
This would be the answer since countering the others it's 90 degrees. While the others are able to add up to 180 degrees. :)
Select all the expressions that are equivalent to 4x + 2. A 8x +4 B 1/2(8x + 4) C] 1/2(2x + 1) D 2 (2x + 1) E 2x + 2x +1+1
Answer: B and D i looked it up and it said that
Step-by-step explanation:
Answer:
D: 2(2x + 1)
the only one I could find sorry
Step-by-step explanation:
Please help me ASAP
Please help
No links please
Answer:
a is height
b is length
c is width
Step-by-step explanation:
Flowers can contain one or both sexes of flower parts. A ___ is the B____ is the C ____ is the All of these are male or female?
Answer:
Answer:A) Anther( male )
B) Filament or stalk
Explanation:-The male parts of the flower are called the stamens and are made up of the anther at the top and the stalk or filament that supports the anther.
The City of Minneapolis is deciding whether to install a stoplight or a stop sign at a very dangerous intersection. Every time a car goes through the intersection, it either is safe, gets in a minor accident, or gets in a major accident. The stoplight would prevent crashes more often, but they would be more costly if they did occur.
The City of Minneapolis performs 800800800 simulations of a car going through the intersection with a stoplight and with a stop sign. Once they decide whether to install a stoplight or a stop sign, they expect 400040004000 cars to travel through the intersection in the next year.
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stoplight? \$$dollar sign
What is the expected damage at this intersection in the next year if the City of Minneapolis installs a stop sign? \$$dollar sign
To minimize the expected damage, The City of Minneapolis should install a
.
(If necessary, round your answers to the nearest dollar.)
The following table shows damage from each type of accident depending on whether the City of Minneapolis installs a stoplight or a stop sign.
Stoplight Stop sign
Major accident \$900$900dollar sign, 900 \$700$700dollar sign, 700
Minor accident \$600$600dollar sign, 600 \$200$200dollar sign, 200
The following table shows the results from the traffic simulation.
Car result Stoplight Stop sign
Major accident 151515 191919
Minor accident 242424 313131
No accident 761761761 750750750
Total 800800800 800800800
Answer:
Stoplight (75*$900) + (120*$600) + (3805 * $0) = $139500
Stopsign (95*$700) + (155*$200) + (3750* $0) = $97500
Step-by-step explanation:
To minimize damage, a stop sign should be installed.
solve the inequality y + 7/10 < 2
Answer:
y<13/10
Step-by-step explanation: