Answer:
8
Step-by-step explanation:
Key to this question is assume that each exchange preserves the total dollar amount of Nick’s money.
If He exchanges all his $5 bills for $1 bills, it means that a $5 bill will result in 5 $1 bills as such, if he had x number of $5 bill, after the exchange, he would have 5x $1 bills.
then all his $20 bills for $5 bills, it means that for each $20 bill, he gets 4 $5 bills which means that if he had y number of $5 bills, after the exchange, he would have 4y $5 bills.
and finally all his $100 bills for $20 bills, then he must have received 5 $20 bills for each $100 such that if he had z number of $100 bills before the exchange, he would have 5z number of $20 bills after the exchange. Given that originally he had 17 bills and later 77 bills then
x + y + z = 17
5x + 4y + 5z = 77
Multiplying the first equation by 5,
5x + 5y + 5z = 85
5x + 4y + 5z = 77
subtract 2 from 1
y = 8
You Are Planting a garden in the shape of an equilateral triangle as shown in the diagram. You want to find the area of the garden to determine how much topsoil you will need. Substitute the values of b and h in the formula A = 1/2 • b • h for the area of the garden.
The area of the garden 16√3 ft².
Given: garden base = 8 ft
Find:
Garden surface area =?
First, we must determine the height of the triangle.
82 42 = Height
Height = 64 - 16
Height = 48 cm
43 inches in height
Calculating the garden's area
Garden area = half of bxh
Garden surface area = 1/2 8 43
Garden surface area = 16v/3 ft2
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given f(x)=2x^2-3 and g(x) = x+4 What is (fg)(x)?
Answer: [tex]f(g(x))=2x^2+16x+29[/tex]
Step-by-step explanation:
[tex]f(x)=2x^2-3\\g(x)=x+4[/tex]
f of g of x means "function f, replace x by the value of g of x"
[tex]f(g(x))=2x^2-3\\f(g(x))=2(x+4)^2-3\\f(g(x))=2(x^2+8x+16)-3\\f(g(x))=2x^2+16x+32-3\\f(g(x))=2x^2+16x+29[/tex]
Answer:
2x^3+8x^2−3x−12
Step-by-step explanation:
Given f(x)=2x^2−3 and g(x)=x+4.
What is (fg)(x)?
2x^3+8x^2−3x−12
please help!!
58
72
55
65
70
81
66
Consider the speed in miles per hour that Officer Williams clocked the last seven drivers at with his radar. Find the interquartile range of the speeds.
Answer:
Answer: 14
Step-by-step explanation:
14
interquartile range = upper quartile - lower quartile
first, order the scores from least to greatest
55, 58, 65, 66, 70, 72, 81
thus, UQ = 72 and LQ = 58
IQR = UQ - LQ = 72 - 58 = 14
Mia has a rectangle shaped brownie brownie. She cuts the brownie into 3 equal pieces.Which sentence is true? The whole brownie is 1/3. The whole brownie is 3/3. The whole brownie is 2/3. The whole brownie is 3/2.
Answer:
The whole brownie is 3/3
Step-by-step explanation:
She cut it into 3 equal pieces out of the whole brownie so it would be 3/3
The function f (x) = -x^2 + 4x - 3 is graphed in the xy-coordinate plane as shown based on the graph of the function which of the following statements are true. Select all that apply
Answer:
In the picture attached, the function f(x) = -x² + 4x - 3 is shown.
Based on the graph of the function, the following statements are true:
f(x) < 0 on the interval x < 0f(x) < 0 on the interval 0 < x < 1f(x) > 0 on the interval 1 < x < 3f(x) < 0 on the interval x > 3Factor completely 3x2 − x + 5.
The community center has a pottery class each month. Each student pays $15 for the class and $27 for materials. This month the pottery class brought in a total of $714. How many students are in the class this month?
Answer:
17
Step-by-step explanation:
$15+$27=$42
$712 divided by $42 is 17 meaning there are 17 kids in the class.
Which expression is a factor of x2 – 9x + 14?
A not factorable
B (x + 2)(x - 7)
C (x-2)(x + 7)
D (x-2)(x - 7)
Answer:
x² - 9x + 14 = (x - 2)(x - 7)
The correct answer is D.
You flip a fair coin.
What is \text{P(tails})P(tails)start text, P, left parenthesis, t, a, i, l, s, end text, right parenthesis?
If necessary, round your answer to 222 decimal places.
Question:
You flip a fair coin. What is P(tails)?
If necessary, round your answer to 2 decimal places.
Answer:
P(tail) = 0.5
Step-by-step explanation:
Given:
A fair die
Required
P(Tails)
A fair die has 2 sides, the head and the tail; each of the sides have equal probability.
The number of head in a die is 1 and the number of a tail in a die is 2.
Let P(tail) represent the probability of obtaining a tail.
P(tail) is calculated by number of tail divided by number of sides of a die.
Hence, P(tail) = ½
P(tail) = 0.50
"The probability of getting tails when flipping a fair coin is [tex]\(\frac{1}{2}\)[/tex] or 0.5.
A fair coin has two equally likely outcomes: heads or tails. Since a fair coin has no bias towards either side, the probability of landing on tails is the same as the probability of landing on heads.
The probability of an event E, denoted as P(E), is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. In this case, the event E is getting tails. There is one favorable outcome for getting tails, and there are two possible outcomes in total (heads or tails).
Therefore, the probability of getting tails, P(tails), is given by:
[tex]\[ P(\text{tails}) = \frac{\text{Number of favorable outcomes}}{\text{Total number of possible outcomes}} = \frac{1}{2} \][/tex]
This fraction simplifies to 0.5, which is the correct probability of getting tails when flipping a fair coin. There is no need to round to 222 decimal places as the probability is exact.
Can someone help me with this question?
I have been struggling to answer it.
The question is about the difficulty in satisfying multiple chemical conditions at once, particularly kinetically favorable conditions and thermodynamically stable conditions, which is a complex task often tested in advanced placement chemistry exams.
Explanation:The question pertains to the challenges associated with satisfying multiple conditions simultaneously in the context of a Chemistry Advanced Placement (AP) Examination. Students often find it difficult to address complex problems where multiple variables must be considered and optimized at the same time. In chemistry, achieving this can involve understanding and balancing various principles such as reaction rates, equilibrium positions, and thermodynamic stability.
In reference to the AP Chemistry exam, students might come across questions that require not just recall of facts or formulas but also the application of these in dynamic scenarios. For instance, satisfying both the kinetic and thermodynamic requirements in a chemical reaction is often challenging. This is because conditions favorable for kinetics, which may involve higher temperatures to increase reaction rates, might adversely affect the thermodynamics by shifting the equilibrium away from the desired products. On the other hand, conditions that favor thermodynamic stability might result in slower reaction rates. Therefore, finding a balance where both kinetics and thermodynamics conditions are optimized is a complex task and is a concept featured in advanced placement chemistry content.
The examination of such complex issues can involve analyzing various aspects and outcomes of a reaction, predicting how changes in conditions could influence the course of the reaction, and understanding the conceptual underpinnings that govern these processes. It is a clear representation of the depth and detail expected at the college level of chemistry education, particularly AP level studies.
Compare the period of y = 2x with the period of y= sin x
Final answer:
The function y = 2x is linear and without a period, whereas the function y = sin x is periodic with a period of 2π radians.
Explanation:
The period of a function is the length of the interval over which it repeats.
The function y = 2x is a linear function, not a periodic function, and thus does not have a period.
In contrast, the function y = sin x is a periodic function and has a period of 2π radians.
This means that the sine function repeats its values every 2π radians.
Therefore, when comparing the period of these two functions, we can conclude that y = 2x does not have a defined period, while y = sin x has a period of 2π radians.
Lindsay shot a model rocket over an area that consists of two grassy areas shown in green and an area without grass, shown in white. What is the probability that his rocket landed in the area WITHOUT grass?
A. 3/5
B. 4/5
C. 3/4
D.3/10
Answer: 3/5
Step-by-step explanation:
If 30 acres are without grass and 20 acres have grass then you set up a fraction with the area without grass on top and the total area on the bottom which would be 30/50 then simplify to get 3/5
Simplify to create an equivalent expression
8k - 5(-5k + 3
Choose 1 answer:
A.33k +15
B.33k – 15
C.3k +3
D.3k-3
If you were a college professor taking a survey of how many hours of
homework students were assigned, which visual tool would you use if you
organized students in hour ranges?
A. Line plot
B. Bar graph
C. Frequency table
D. None of the above
If I were a college professor taking a survey of how many hours of homework students were assigned and I wanted to organize the data by hour ranges, the visual tool that I would use is C) a frequency table.
Explanation:A frequency table would be the best visual tool to organize students in hour ranges for a survey of how many hours of homework students were assigned.
A frequency table is a way to organize data into different intervals, or ranges, and count how many data points fall into each interval. In this case, I would create intervals such as 0-1 hour, 1-2 hours, 2-3 hours, and so on, and then count the number of students assigned homework in each interval. This would give me a clear picture of the distribution of homework hours among the students. Therefore the correct answer is C) a frequency table.
Compare the two figures. How many times bigger or smaller is the cone to
the pyramid? Round your answer to the nearest tenth. Explain how you
found your answer and show your work. Write your answer in the space
provided and explain your answer in relation to the problem.
Answer:
The proportion of the volume of the cone to the volume of the pyramid is: 3.14 times bigger.
Step-by-step explanation:
Given the information of the cone:
The height: 12 inchesThe radius of the base is : 10/2= 5 inches=> the volume of the cone
= 1/3π[tex]r^{2} *h[/tex]
= 1/3*3.14*[tex]5^{2} *12[/tex]
= 314 cubic inches
Given the information of the pyramid:
the height: 12 inchesThe base is a suqare with a side lengh = 5 inches=> the volume of the pyramid:
= 1/3*Bh (where B is the area of the base)
= 1/3*5*5*12
= 100 cubic inches
The proportion of the volume of the cone to the volume of the pyramid is:
= 314 /100
= 3.14 times bigger.
Hope it will find you well
Does this graph represent a function? Why or why not?
10
8
8
+
-10-8-042
2
4
0
8
10
4
-8
-8
-10
O A. Yes, because it is a curved line.
O B. No, because it is not a straight line.
O C. No, because it fails the vertical line test.
O D. Yes, because it passes the vertical line test.
Answer:
Step-by-step explanation:
D.
No, basically because it fails the vertical line test. The correct option is C.
What is vertical line test?The vertical line test determines whether a relationship between two variables defines a function. If and only if vertical lines intersect the graph at least once, a relation is a function.
The graph fails the vertical line test because vertical lines intersect it at more than one point.
This means that some x-values correspond to multiple y-values, which violates the definition of a function.
In other words, for each x-value, there should be only one y-value, but this is not the case for all x-values. As a result, the graph does not depict a function.
Thus, the correct option is C.
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find the exact length of the third side
Answer:
[tex] \sqrt{74} [/tex]
Step-by-step explanation:
Use the Pythagorean theorem.
[tex] a^2 + b^2 = c^2 [/tex]
We are solving for the hypotenuse, c.
[tex] c^2 = a^2 + b^2 [/tex]
[tex] c^2 = 5^2 + 7^2 [/tex]
[tex] c^2 = 25 + 49 [/tex]
[tex] c^2 = 74 [/tex]
[tex] c = \sqrt{74} [/tex]
Answer: [tex] \sqrt{74} [/tex]
A chef keeps track of the temperature of his refrigerator in degrees Celsius. What is the level of measurement of data?
Answer:
interval level of measurement
Step-by-step explanation:
Interval level of measurement is numeric and allows for mathematical operations like mean. It is quantitative and in fixed units, i.e changes in values are as a result of a phenomenon. It does not have a zero point i.e a value of zero does not mean what you are measuring is absent, for example a temperature of 0°C do not mean there is no heat applied. It specifies the distance between intervals.
Combine the like terms to create an equivalent expression:
- k + 3k
Answer:
2k
Step-by-step explanation:
- k + 3k
3k - k
2k
Solve for x 7(x - 9) = 8x - 6
Answer:
x= -57
Step-by-step explanation:
7x-63+8x-6
-x-63-7
-x=57
x=-57
Answer:
x = -57
Step-by-step explanation:
Simplify both sides of the equation:
Distribute:
(7)(x) + (7)(-9) = 8x + -6
7x + -63 = 8x -6
7x - 63 = 8x - 6
Subtract 8x from both sides
7x−63−8x=8x−6−8x
−x − 63 = −6
Add 63 to both sides
−x − 63 + 63 = −6 + 63
-x = 57
Divide both sides by -1
-x / -1 = 57 / -1
Therefore, you get x = -57
32. What is the degree of the monomial?
7x^8
A-7
B-8
C-15
D-56
Answer:
B - 8
Step-by-step explanation:
The answer is 8 because when determining the degree of any polynomial you find the sum of all the exponents that are attached to variables.
Since there's only one variable then you only have to take the number attached to the variable "x" which is 8.
Find the length of arc AB. leave your answers in terms of pi
Answer:
arc AB = 60°
Step-by-step explanation:
The diameter splits the circle into two semi circles.
in the semicircle above the diameter, you can do 180° - 120° = 60°
so arc AB = 60°
( I'm sorry; I'm not sure how to get the answer in terms of pi. )
FOR BRAINLIEST BRAINLIEST!! EASY MATH, Give EXPLANATION with it.
Answer:
Just about 5-6-7. In that range
Step-by-step explanation:
you have to count up all the fully shaded in squares. And then what u have to do is try and put together the half of squares and so on while counting them up. It is an esta=mation question- mostly.
Answer:
you make squares around it to find the area
Step-by-step explanation:
hope this helps
Choose four endpoints and connect them to make a trapezoid with only 1 pair of opposite sides that are paraell
we can;t answer question that need a graph without you showing the graph
What is the solution of the system of equations shown in the graph below?
How did you use similarity to find the areas and circumferences of circles? How are the radius and diameter of a circle related?
To find areas and circumferences of circles using similarity, we scale proportions from known circles to unknown circles. The diameter is twice the radius (d = 2r), allowing us to use formulas C = 2πr for circumference and A = πr^2 for area.
To determine the area and circumference of circles using similarity, we can scale up or down from a known circle to an unknown one. The relationships between circles of different sizes but with proportional radii allow us to use the similarity concept. For example, if a small circle has a radius that is half the radius of a larger circle, the area and circumference will also be in proportion to the squares and the linear dimensions, respectively.
The radius (r) and diameter (d) of a circle are directly related by the equation d = 2r. This means that diameter is twice the radius. Given the radius, we can determine the circumference of a circle (C = 2πr) and its area (A = πr2) easily. The role of π (approximately 3.14159) is critical as it provides the constant of proportionality in these equations.
A school buys pens and pencils from a supplier. The supplier charges $0.05 for each pencil and $0.25 for each pen. The school pays $400 for the pens and pencils. If the school bought 1500 pencils, how many pens did the school buy?
Answer:
1460 pens
Step-by-step explanation:
Find the measure of
sorry been trying to find something to say but i don't have a answer for it wish i could help
Answer:
28 degrees
Step-by-step explanation:
since DBE is 90 degrees, ABE is 90 degrees as well
given that BEF is 62 degrees
you need to subtract 90 from 62
to get 28 degrees as your answer
Marissa is an event organizer for a charity group. She is organizing a five-hour dinner event being held to raise funds for the charity. The
following list shows the costs for hosting the event.
• Facility Rental: $150 per hour of event
• Linens: $2 per attendee
• Food: $20 per attendee
• Table Decorations: 33 per attendee
. Musical Entertainment: $1,800 (flat fee)
• Cleaning Fee: $250 (Mat fee)
The total cost of the event, with n attendees, is represented by the given expression
25 + 2,800
(ANSWER ALL QUESTIONS FOR 60 POINTS AND BRAINLYEST)
Question 1 (1 point)
The coordinate (0,0) is a point on the graph y = 2x.
Question 1 options:
True
False
Question 2 (1 point)
The coordinate (1,2) is a point on the graph of y = 2x.
Question 2 options:
True
False
Question 3 (1 point)
Which coordinate is a point on the graph of y = 2x + 2
Question 3 options:
(2,4)
(0,0)
(1, 3)
(2,6)
Question 4 (1 point)
Which equation has the coordinate (0, 2) as a point on its graph?
Question 4 options:
y = x - 2
y = x + 2
y = 2
y = 2x
Question 5 (1 point)
In slope intercept form, y = mx + b.
Which variable represents the slope of this equation's graph?
Question 5 options:
b
x
m
y
Answer:
answer to q1= True
q2= true
q3= x2y6
q4= y+x+2
q5= y
Answer:
Answer to question 1. True
Answer to question 2. True
Answer to question 3. 2,6
Answer to question 4. I think it is y=x+2
Answer to question 5. I'm pretty sure it is M
I hope this helped if they were wrong I'm sorry.