Which type of function is represented by the table of values below?
x
y
1
4
2
16
3
64
4
256
5
1,024
exponential
linear
quadratic
square root
Answer:
Exponential :)
Step-by-step explanation:
Which type of graphs might be used to show data with qualitative categories?
Bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.
What is a histogram?It is defined as the depiction of numerical data in a graph using a bar with no space. The histogram depicts the approximate distribution of the data.
As we know,
For the primary analysis, there are many alternative infographics that can be applied.
Bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.
The most prominent visual representations of primary analysis are pie charts and graphical representations.
Thus, bar graphs, Pareto charts, and pie charts seem to be some forms of these graphics.
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there are 238 juniors at a high school. the ratio of girls to boys in the junior class 3:4. how many Juniors are girls? how many are boys?
The number of juniors in a class is 238 and the ratio of girls to boys is 3:4. We can use this information to calculate that there are 102 girls and 136 boys in the junior class.
Explanation:The question provides us with the information that there are 238 juniors in the school and the ratio of girls to boys in this class is 3:4. This means for every 7 students (3 girls and 4 boys), there are 3 girls and 4 boys.
First, let's find out how many 'sets' of 7 students there are in the total number of juniors. To do this, we divide 238 by 7, which equals 34 sets.
To find out the number of girls, we multiply these 34 sets by 3 (because the ratio tells us there are 3 girls in each set). This comes to 102 girls.
Similarly, to find out the number of boys, we multiply these 34 sets by 4 (because the ratio tells us there are 4 boys in each set). This gives us 136 boys.
Therefore, in the junior class, there are 102 girls and 136 boys.
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in chemistry a mole is a unit of measure equal to 6.02x10^23 atoms of a substance. the mass of a single neon atom is about 3.35 X 10^-23 g. what is the mass of 2 moles of neon atoms?
In a sale, normal prices are reduced by 20%. The sale price of a shirt is £26. Calculate the normal price of the shirt
The original price of the shirt before the 20% discount was £32.50.
Explanation:In your question, you've stated that a shirt was bought at a sale price of £26, after a reduction of 20%. Therefore, the 20% reduction is equivalent to the difference between the original price and the sale price. To find the original price, we need to understand that the £26 is 80% of the original price as 100% (the original price) minus the 20% reduction equals 80%. So, we can set up the equation as follows:
0.80(x) = 26
To find the value of x (the original price), we divide both sides of the equation by 0.80
x = 26 ÷ 0.80
Therefore, the original price of the shirt was £32.50.
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Simplify the expression. 8 – 3(–12x + 2)
Use the interactive to find an expression equivalent to 4x – 4 – 2x + 3.
2x – 1
6x – 1
2x – 7
–2x + 3
Answer:
2x-1 is ur answers i got it right on edge 2020
Step-by-step explanation:
The expression equivalent to the given expression is - g(x) = 2x - 1
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".
Given is the equation as follows -
f(x) = 4x - 4 - 2x + 3
The given expression is -
4x - 4 - 2x + 3
4x - 2x - 4 + 3
2x - 4 + 3
2x - 1
Therefore, the expression equivalent to the given expression is -
g(x) = 2x - 1
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In a distribution, a score of X=60 has a z-score of -3.0.. A score of X=85 has a z-score of 2.0. What are the mean and standard deviation for this population?
Final answer:
By using the z-score formula and solving a system of linear equations, we find that the mean (μ) of the population is 75, and the standard deviation (σ) is 5.
Explanation:
To find the mean (μ) and standard deviation (σ) of the distribution based on the given z-scores, we can use the z-score formula:
z = (X - μ) / σ. Rearranging this formula, we can express X as X = zσ + μ.
For the two provided z-scores and X values:
For X = 60 and z = -3.0: 60 = (-3)σ + μ
For X = 85 and z = 2.0: 85 = (2)σ + μ
We now have a system of linear equations that can be solved to find μ and σ:
-3σ + μ = 60
2σ + μ = 85
Solving for σ and μ:
Multiplying the first equation by 2, and the second equation by 3 and adding them gives us:
(-3)(2)σ + 2μ = 120
(2)(3)σ + 3μ = 255
Adding these together yields 5μ = 375, so μ = 75.
Now, substitute the μ value into either equation to find σ:
-3σ + 75 = 60
σ = (75 - 60) / 3
σ = 5
Therefore, the mean (μ) of the population is 75 and the standard deviation (σ) is 5.
Any number with a non-repeating and non-terminating decimal is an irrational or rational number.
Which number set has only irrational numbers?
A) {-7.4, 0, 3.14}
B) {-
5
6
,
7
8
,
π
2
}
C) {
2
,
5
, π}
D) {
8
,
9
,
10
}
Answer:
The answer is D because PI is a irrational number.
Step-by-step explanation:
Problem
Phil received a prize of x dollars from a poker tournament. The tournament cost him 100 dollars to enter.
What were Phil's net winnings from the tournament?
Write your answer as an expression.
heeeeeeeeeelp
Name the property shown. (9 + 4) + 10 = 9 + (4 + 10)
prove the identity cos(x-y)-cos(x+y)=2sinxsiny
Answer:
see the procedure
Step-by-step explanation:
we know that
[tex]cos(X - Y) = cosX cosY + sinX sinY\\cos(X + Y) = cosX cosY - sinX sinY[/tex]
so
[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-(cosX cosY - sinX sinY)[/tex]
[tex]cos(X - Y)-cos(X + Y)=cosX cosY + sinX sinY-cosX cosY + sinX sinY[/tex]
[tex]cos(X - Y)-cos(X + Y)=sinX sinY+ sinX sinY[/tex]
[tex]cos(X - Y)-cos(X + Y)=2sinX sinY[/tex] ----> is verified
an example of an equation that is a linear function explain why it is linear
Please help with the question above :)!!! ^^
Find the surface area for the given given prism
The surface area for the given given prism is 664 square inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The given figure is a rectangular prism
We need to find the surface area of the rectangular prism
The formula for surface area is A=2(wl+hl+hw)
Where w is width
l is length
h is height
Plug in length=14, width=10 and height=8 in the given formula
A=2(140+112+80)
=2(332)
=664 square inches
Hence, the surface area for the given given prism is 664 square inches.
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The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C. What was the temperature on Monday?
Answer:
Temperature on monday = 24 .35°c.
Step-by-step explanation:
Given : The temperature in Bloomington on Sunday was 32.6°C. On Monday, the temperature changed by -8.25°C.
To find : What was the temperature on Monday.
Solution : We have given
Temperature on sunday = 32.6°C.
Temperature changed = -8.25°C.
Temperature on monday = 32.6°C - 8.25°c )
Temperature on monday = 24 .35°c.
Therefore, Temperature on monday = 24 .35°c.
A bee with velocity vector
r'(t)
starts out at
(5, −5, −3)
at
t = 0
and flies around for 5 seconds. Where is the bee located at time
t = 5
if
5
0
r'(u)du = 0?
Final answer:
The bee returns to the starting point at (5, -5, -3) after 5 seconds since the integral of its velocity over that period is zero, indicating no net change in position.
Explanation:
To find where the bee is located at time t = 5, we start by looking at the given velocity vector r'(t). Since ∫05r'(u)du = 0, this implies that the integral of the velocity function over the interval from 0 to 5 seconds results in zero net displacement. Thus, the total change in position of the bee over these 5 seconds is zero.
Since the bee starts at the position (5, −5, −3) at t = 0, and there is no net change in position over 5 seconds, the bee must return to the starting point at t = 5. Therefore, the bee is located at (5, −5, −3) at time t = 5 seconds.
Titaina reads 40 pages of her book every night. Write an expression that represents the number of pages she has read
How many 4-letter code words can be made using the letters in the word pencil if : (a) Repetitions are permitted?
Final answer:
The total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.
Explanation:
To determine how many 4-letter code words can be made using the letters in the word 'pencil' with repetitions permitted, we consider that each position in the 4-letter code word can be filled by any of the 6 letters from the word 'pencil'. Therefore, for each position, there are 6 choices.
Using the fundamental counting principle, the total number of possible 4-letter code words given that repetitions are allowed is calculated as follows:
First position: 6 possibilitiesSecond position: 6 possibilitiesThird position: 6 possibilitiesFourth position: 6 possibilitiesThus, the total number of code words is 6 x 6 x 6 x 6, which is 1296 possible code words.
Which property justifies the following statement? If 3 ● m∠Q − 17 = 30, then 3 ● m∠Q = 47.
Answer: Addition Property of Equality
Step-by-step explanation:
A cylinder shaped container has a radius of 20 meters and a height of 100 meters. A glass sphere with a radius of 12 meters is placed inside the cylinder shaped container and then the container is completely filled with water.
What is the approximate volume of water contained in the cylinder?
Use 3.14 for pi.
A. 24,165 m³
B. 31,400 m³
C. 118,365 m³
D. 125,600 m³
Answer:
CCCCCCCC
Step-by-step explanation:
1. Use the function rule to complete the table. -10+y=4
2. What is the function rule for the second picture?
Please answer to both questions.
Solution:
The Given Linear Function is
-10 x + y = 4
y= 4 + 10 x
1. x= -2
y = 4 + 10* (-2)
= 4 - 20
= -16
2. x= -1
y = 4 + 10* (-1)
= 4 -10
= -6
3. x=0
y = 4 +10* (0)
=4
4. x=1
y= 4 +10 * (1)
= 4+10
=14
5. x=2
y= 4 +10*2
= 4 +20
= 24
2. Function Rule
Slope between two points or coordinates in two dimensional plane is
[tex]=\frac{4-9}{-1+2}=\frac{-1-4}{0+1}=\frac{-6+1}{1-0}=\frac{-11+6}{2-1}= - 5[/tex]
Slope between two points is same.
This will be linear function.
Equation of line will be
y - 9= -5 * (x+2)
y -9 = - 5 x - 10
y + 5 x+10 -9=0
5 x + y+1=0
I need help on numbers 1. 2. 6. And 7. Please
The movie theater in town has 4 rooms. Each room has 58 seats on the left side and 32 seats on the right side. Which equation could be used to show the total number of seats in the theater?
A) 52 + 32= ?
B) 4 + 32 + 58= ?
C) (58 + 32) x 4= ?
D) (58 - 32) x 4= ?
Answer:
The right option is (C) (58 + 32)×4
Step-by-step explanation:
Total number of rooms = 4
Number of seats on left = 58 seats in each room
Number of seats on right = 32 seats in each room
Total number of seats in a room = 58 + 32 seats
Total number of seats in the movie theater = Number of rooms × Number of seats in each room
Total number of seats in the movie theater = 4 × (58 + 32) = 360 seats
Hence the right option is (C) (58 + 32)×4
You have a credit card with a balance of $1,758.64. The interest is 12.75% APR. A late payment fee of $35.00 is added to the principal if you pay after 12/20. You make a payment for $100.00 on 12/20. How much interest did you pay? A. $224.23 B. $18.69 C. $211.48 D. $17.62
Write the resultant of the 2 vectors as an ordered pair. <5, -2> and <0,0>
Ms. Reynolds has a system of 10 sprinklers that water her entire lawn. The sprinklers run one at a time, and each runs for the same amount of time. The first 4 sprinklers run for a total of 50 minutes. How long does it take to water her entire lawn?
*please explain how you got the answer if possible*
Final answer:
To water the entire lawn with 10 sprinklers, each running for the same amount of time, it will take a total of 125 minutes.
Explanation:
Ms. Reynold's system of sprinklers is designed to run sequentially, with each sprinkler getting an equal duration of run time. We know that the first 4 sprinklers run for a total of 50 minutes.
To find out how long one sprinkler runs, we divide the total time of 50 minutes by the number of sprinklers that have run, which is 4:
50 minutes ÷ 4 sprinklers = 12.5 minutes per sprinkler.Now that we know each sprinkler runs for 12.5 minutes, we can calculate the total time to run all 10 sprinklers by multiplying the time per sprinkler by the total number of sprinklers:
12.5 minutes per sprinkler × 10 sprinklers = 125 minutes.Therefore, it will take 125 minutes to water her entire lawn using all 10 sprinklers.
Fred has 4 pencils (red, blue, green, and yellow), 3 notebooks (plain, lined, graph), and 9 pieces of chalk (all different colors). He always takes one pencil, one notebook, and one piece of chalk to class.
If he wanted to take a unique combination to class every day, how many days would he be able to do this before he would be forced to repeat one of the combinations?
Find these measures for the number of days in the months of a leap year