Answer C :
\((5 {}^{ - 3} ) {}^{6} = 5 {}^{ - 3 \times 6} = 5 {}^{ - 18} = \frac{1}{5 {}^{18} } \)
Answer:
C is correct.
Step-by-step explanation:
(5^-3)^6
= 5 ^(-3*6)
= 5^-18
= 1 /5^18.
1. The table shows the Total Expenses y (in dollars) of the College or University for year 2020-2021 and 2021-2022. Mine it's 21,211
a) Write a function that represents the Total Expenses y (in dollars) of that College or University you would like to attend after t years.
b) Use the function to estimate the Total Expenses your first year of school. *This year (t) is not the same for everyone since there are 8th graders to 11th graders in the class.
c) Sketch a graph (by hand) to model your function.
d) Identify the y-intercept and asymptotes of the graph. Find the domain and range of your function. Then describe the end behavior of the function.
Answer:
a) We can use the given data to find the rate of change (slope) of the expenses over one year, and then use it to write the equation of a line in slope-intercept form:
Slope m = (Total Expenses in 2021-2022 - Total Expenses in 2020-2021) / 1 year
m = (23,500 - 21,211) / 1 = 2,289
Using the point-slope form of a line, we can write the equation as:
y - 21,211 = 2,289(t - t1), where t1 is the year 2020-2021.
Simplifying, we get:
y = 2,289t + 18,922
b) To estimate the Total Expenses for your first year of school, you need to know what year you will start. Let's say you will start in 2024-2025, which is 3 years from 2021-2022.
Then, plugging in t = 3 into the equation we just found, we get:
y = 2,289(3) + 18,922 = 23,789
So the estimated Total Expenses for your first year of school would be $23,789.
c) The graph of the function y = 2,289t + 18,922 is a straight line with a positive slope of 2,289. It passes through the point (0, 18,922) on the y-axis, and it will extend indefinitely in both directions.
d) The y-intercept of the graph is the point (0, 18,922), which represents the Total Expenses for the year 2020-2021. There are no vertical asymptotes, but the graph will approach a horizontal asymptote as t goes to infinity, since the expenses cannot increase indefinitely. The domain of the function is all real numbers, and the range is all values greater than or equal to 18,922. As t increases, the function increases without bound, so the end behavior is that the graph goes up to the right.
miss austin gives her class 6 sets of data and asks them to identify which data set can most accurately be summarized by the mean. what topic is she covering?
Miss Austin is covering the topic of central tendency in statistics, specifically the mean. By giving her class 6 sets of data and asking them to identify which one can be most accurately summarized by the mean, she is testing their understanding of how the mean represents the average value of a set of data.
This also involves understanding how to calculate the mean and interpret its value in relation to the other values in the dataset. Therefore, Miss Austin is helping her class develop skills in data analysis and statistical reasoning. The use of the term "set" is not clear, but assuming it means "sets of data," it is relevant to the topic being covered.
Miss Austin is covering the topic of "Descriptive Statistics" in her class. Specifically, she is focusing on the concept of "mean" as a measure of central tendency to summarize data sets. By asking her students to identify which data set can most accurately be summarized by the mean, she is teaching them how to understand the appropriateness of using the mean for different sets of data.
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chris has been given a list of bands and asked to place a vote. his vote must have the names of his favorite and second favorite bands from the list. how many different votes are possible?
There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.
To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.
Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.
Therefore, the number of different votes possible is m * (m-1) / 2.
In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.
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John decided to build a stone fence around his house and lay a stone walkway. John ordered a large bag of stones and first choose a random sample of 50 stones
The mean diameter of John's sample of 50 stones is approximately 15.88 cm.
To calculate the sum of all diameters, we need to multiply each diameter by its frequency and then add up all the products. This gives us:
Sum of all diameters = (14 x 6) + (15 x 11) + (16 x 20) + (17 x 9) + (18 x 4)
= 84 + 165 + 320 + 153 + 72
= 794
Next, we need to find the total number of stones, which is simply the sum of all the frequencies:
Total number of stones = 6 + 11 + 20 + 9 + 4
= 50
Finally, we can calculate the mean diameter by dividing the sum of all diameters by the total number of stones:
Mean diameter = Sum of all diameters / Total number of stones
= 794 / 50
= 15.88 cm (rounded to two decimal places)
This means that if all the stones had the same diameter, it would be 15.88 cm.
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Complete Question:
John decided to build a stone fence around his house and lay a stone walkway. John ordered a large bag of stones and first chose a random sample of 50 stones for measuring. He measured the diameters of the stones correctly to the nearest centimeter. The following table shows the frequency distribution of these diameters.
Diameter, cm Frequency
14 6
15 11
16 20
17 9
18 4
(a) Find the value of the mean diameter of those stones.
HELP giving brainless and 100 points!!
Answer:
b
Step-by-step explanation:
3 1/2 x 3 x 1/2= 5.25 or 5 and 1/4
Answer:
B
Step-by-step explanation:
Little tip, if you don't know a question or aren't sure, pick options b or c, they are statistically the most used options.
what is the the 70th term of the arithmetic sequence 26, -19, -12,
Answer:
464 is da answer
Step-by-step explanation:
26-7(70)=? 490-26
Calculate the future value of a three year uneven cash flow given below, using 11% discount rate:
Year 0 Year 1 Year 2 Year 3
0 $600 $500 $400
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
To calculate the future value of a three-year uneven cash flow given below, using an 11% discount rate, we need to use the formula;
Future value of uneven cash flow = cash flow at year 1/(1+discount rate)¹ + cash flow at year 2/(1+discount rate)² + cash flow at year 3/(1+discount rate)³ + cash flow at year 4/(1+discount rate)⁴
Given the cash flows;
Year 0: $0
Year 1: $600
Year 2: $500
Year 3: $400
Then the Future value of uneven cash flow
= $600/(1+0.11)¹ + $500/(1+0.11)² + $400/(1+0.11)³
= $600/1.11 + $500/1.23 + $400/1.36
=$540.54 + $405.28 + $293.00
=$1,238.82
Therefore, the future value of a three-year uneven cash flow given below, using an 11% discount rate is $1,238.82.
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A hiker walks with an average speed of 2.4 m/s. What distance in kilometers does the hiker travel in a time of 2.6 hours? The distance traveled by the hiker in a time of 2.6 hours is km.
The distance traveled by the hiker is 22.464 km = 22.464 × 1000 = 22464 m. Rounded off to two decimal places, the distance traveled by the hiker in 2.6 hours is 6.24 km.
The distance traveled by the hiker in a time of 2.6 hours is 6.24 km.
Given data: Average speed of the hiker = 2.4 m/s, Time taken by the hiker to travel = 2.6 hours
First, we need to convert the average speed from m/s to km/h.1 m/s = 3.6 km/h
Therefore, the average speed of the hiker = 2.4 m/s × 3.6 = 8.64 km/h
Now, we can use the formula distance = speed × time to find the distance traveled by the hiker.
Distance = Speed × Time
Distance = 8.64 km/h × 2.6 h = 22.464 km
However, the distance is required in kilometers, not in meters.
Therefore, we convert km to meters.1 km = 1000 m
Hence, the distance traveled by the hiker is 22.464 km = 22.464 × 1000 = 22464 m.
To convert the above value to kilometers, we need to divide it by 1000 (since 1 km = 1000 m).Distance in kilometers = Distance in meters ÷ 1000Distance in kilometers = 22464 m ÷ 1000 = 22.464 km
Rounded off to two decimal places, the distance traveled by the hiker in 2.6 hours is 6.24 km.
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What is the value of −7 + (−12) + 81?
−100
−76
62
86
. a) When you see multiplication in an equation, how does that help you come up with a context?
The presence of multiplication in an equation shows a context of repeated addition of values of that equation.
What is multiplication?Multiplication is defined as one of the major arithmetic operation that shows the repeated addition of values of which a final figure is gotten. The other arithmetic operations include the following:
Division,Addition andSubtraction.When there is multiplication sign in a mathematical expression it shows the context that repeated addition is needed to arrive at the desired value.
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What is the slope for this graphed line?
4/3
-3/4
-4/3
3/4
Answer:
3/4
Step-by-step explanation:
If you bought a pre-made fruit salad at the store, the price is $14. 99. How much do you save by making your own?
Can someone please give me the (Answers) to this? ... please ...
I need help….
Answer:
see explanation
Step-by-step explanation:
2 chords intersecting inside a circle , then the product of the parts of one chord is equal to the product of the parts of the other chord.
6
BE × ED = AE × CE , that is
10 × 3x = 12(2x + 1) ← distribute parenthesis by 12
30x = 24x + 12 ( subtract 24x from both sides )
6x = 12 ( divide both sides by 6 )
x = 2
then
ED = 3X = 3(2) = 6
7
RJ × JP = SJ × JQ , that is
6 × 3x = 4(4x + 1) ← distribute parenthesis by 4
18x = 16x + 4 ( subtract 16x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
then
RP = RJ + JP = 6 + 3x = 6 + 3(2) = 6 + 6 = 12
Find the surface area and the volume of the figure
Round to the nearest tenth if needed.
Answer:
See belowStep-by-step explanation:
Surface area:
S = 2(lw + lh + wh) + 2πrhS = 2(9*4 + 9*5 + 4*5) + 2*3.14*2*3 = 239.7 cm² (rounded)Volume:
V = lwh + πr²hV = 9*4*5 + 3.14*2²*3 = 217.7 cm³ (rounded)Answer:
> V = 217.68 cm³
> S = 227.14 cm²
Step-by-step explanation:
We are required to find the surface area and the volume of the given figure . This question is from Combination of solids . As we can see that this figure is made up of a cuboid and cylinder.
Firstly let's find out the volume .
> V = V_( cuboid) + V_(cylinder)
> V = 9cm × 4cm × 5cm + π × ( 2cm)²× 3cm
> V = 180 cm³ + 3.14 × 4cm² × 3cm
> V = 180 cm³ + 37.68 cm³
> V = 217.68 cm³
Lets find the surface area :-
> S = S_( cuboid) + S_( cylinder) - πr²
> S = 2( 9×4 + 4× 5 + 5×9) cm² + 2×π×2cm × 3cm - 3.14 × (2cm)²
> S = 239.7 cm² - 12.56 cm²
> S = 227.14 cm²
Note :-
Here we subtracted πr² from the total surface area of cuboid and cylinder because that much area of the cuboid was covered by the base of the cylinder .Hey, you are perfect the way you are, don't ever forget that. In the comments, or by answering, tell me one thing you love about yourself. Remember, you can do it!
Answer:
Thank you! I really needed this! I've been really stressed lately, and my parents are in the middle of getting a divorce so it's nice to see positive things like this. Thanks!! (:
Step-by-step explanation:
Please help I don’t get this:
Select the correct answer.
The weight of radioactive material, f(x),is based on the number of days the material has been exposed to the elements, X. An exponential
regression equation relative to the weight of the material is f(x) = 80.402 • 0.931^x. Based on this equation, approximately what is the weight of the radioactive material after 2 days?
OA 5
ОВ.-20
OC 28
OD. 70
Answer:
use half-life formula!
Step-by-step explanation:
for exponential word problems, lots of them use the half life formula.
hope this helps :)
Answer:
C 28
Step-by-step explanation:
:)
You have a bag of poker chips, containing 2 white, 1 red, and 3 blue chips. White chips are worth $1, red chips are worth $3 and blue chips are worth $5. You need $7 worth of chips in order to see someone’s raise, so you take chips out of the bag one at a time, noting the color of each one as it’s removed, and stop when the total value of the chips removed is at least $7. How many sequences of chip colors are possible when you do this?
There are 144 possible sequences of chip colors.
How many sequences of chip colors are possibleWe can solve this problem by counting the number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7.
Let's consider all the possible sequences of chips that can be drawn from the bag. The first chip can be any of the 6 chips in the bag. For each chip color, there are different scenarios that can happen after drawing the first chip:
If the first chip is a white chip, then we need to draw chips worth $6 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $6 or more. There are 2 white, 1 red, and 3 blue chips remaining, so there are 2^5 = 32 possible combinations.If the first chip is a red chip, then we need to draw chips worth $4 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $4 or more. There are 2 white, 1 red, and 3 blue chips remaining, so there are 2^5 = 32 possible combinations.If the first chip is a blue chip, then we need to draw chips worth $2 more in order to reach $7. We can draw any combination of the remaining 5 chips to get a total value of $2 or more. There are 2 white, 1 red, and 2 blue chips remaining, so there are 2^4 = 16 possible combinations.Therefore, the total number of possible sequences of chip colors that can be drawn from the bag until the total value of the chips is at least $7 is: 2 x 32 + 1 x 32 + 3 x 16 = 144
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write 32% as a fraction in simplest form
Answer:8/25
Step-by-step explanation:
Answer:
Step-by-step explanation:
32/100 = 16/50 = 8/25
Consider the function f(x) = 10x² - 10x.
a. Determine, without graphing, whether the function has a minimum value or a maximum value.
b. Find the minimum or maximum value and determine where it occurs.
c. Identify the function's domain and its range.
The graph is shown below.
===================================================
Explanation:
Part A)
x² is the same as x^2
The function f(x) = 10x^2-10x is the same as y = 10x^2-10x
Compare this to the template y = ax^2+bx+c to find the following
a = 10b = -10c = 0The value of 'a' is positive, which means the parabola opens upward. Furthermore, it tells us that the graph has a lowest point. There is no highest point since both parts of the parabola go upward forever.
-----------------------------
Part B)
We'll use the values of 'a' and b found earlier to get...
h = -b/(2a)
h = -(-10)/(2*10)
h = 10/20
h = 0.5
The min value therefore occurs when x = 0.5, which is the x coordinate of the vertex. The vertex being (h,k)
To find the value of k, we plug x = 0.5 into the original function.
y = 10x^2-10x
y = 10(0.5)^2-10*0.5
y = -2.5
This is the smallest the output y values can get. Therefore, it is the minimum value.
The vertex is located at (h,k) = (0.5, -2.5)
-----------------------------
Part C)
With any quadratic function, the domain is "set of all real numbers". We don't have to worry about things like...
Division by zero errors.Taking the square root of negative values.And so on.
The range is \(\text{y} \ge -2.5\) since we found y = -2.5 to be the smallest y value possible. See part B above. So either y = -2.5 or y > -2.5
Check out the graph below. I used GeoGebra to make it, but you could use Desmos or other similar graphing tools if you prefer.
Simplifying expressions
1/4 (8x-20y)+14y
Answer:
\(2x + 9y\)
Step-by-step explanation:
\(1. \: \frac{8x - 20y}{4} + 14y \\ 2. \: \frac{4(2x - 5y)}{4} + 14y \\ 3. \: 2x - 5y + 14y \\ 4. \: 2x( - 5y + 14y) \\ 5. \: 2x + 9y\)
a rectangular garden is 24 feet long. if you walk diagonally across the garden, you would walk 30 feet. how many feet wide is the garden?
The width of the garden is 18 feet. In this case, the length of the diagonal of the rectangular garden is the hypotenuse, and the length and width of the garden are the other two sides. Let's denote the width of the garden as "w".
Given:
Length of the garden = 24 feet
Diagonal of the garden = 30 feet
Using the Pythagorean theorem, we can set up the following equation:
\(24^2\) + \(w^2\) = \(30^2\)
Simplifying:
576 + \(w^2\) = 900
Subtracting 576 from both sides:
\(w^2\) = 900 - 576
\(w^2\) = 324
Taking the square root of both sides:
w = √324
w = 18
So, the width of the garden is 18 feet.
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we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324 Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.
Using the Pythagorean theorem, we can find the width of the garden. If the length is 24 feet and the diagonal is 30 feet, then the width can be found by taking the square root of (30^2 - 24^2), which is approximately 18.97 feet.
Therefore, the garden is about 18.97 feet wide. We can use the Pythagorean theorem to find the width of the rectangular garden.
The Pythagorean theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, the diagonal across the garden is the hypotenuse, and the length and width of the garden are the other two sides.
The diagonal is 30 feet, and the length is 24 feet. We need to find the width (w).
The Pythagorean theorem formula is:a² + b² = c²Where 'a' and 'b' are the two shorter sides, and 'c' is the hypotenuse.
In this case, we have:24² + w² = 30²Solve the equation:576 + w² = 900Subtract 576 from both sides:w² = 324Take the square root of both sides:w = √324w = 18So, the width of the rectangular garden is 18 feet.
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In Exercises 1-4 find the measure of the red arc or chord in C
The red arc or chord in the key of C, or the solution to the provided question based on the circle, is 11.
What is Chord?A chord is a piece of a straight line that connects two points on a circle's circumference. When it crosses the circle at two different locations, it is also occasionally referred to as a secant.
The following formula can be used to determine a chord's length:
chord length = 2*radius*sin(angle/2)
where angle is the central angle that the chord is subtended by, and radius is the radius of the circle. In geometry and trigonometry, chords are frequently used to compute circle properties including area, circumference, and arc length.
Since the circle P ≅ circle C
In circle P the radius of PN =7 and
chord LM = 11 with an angle 104°
And In circle C the radius =7 and Circle and chord QR are both making the same angle. P = 104°
So the circle P ≅ circle C
The red arc or chord in C is consequently 11.
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help me please i need help
Each side of a square mirror is 2 feet long. What is the mirror's perimeter?PLSSS HELP IVE BEEN STUCK ON THIS QUESTION FOR HOURS!!!!!!!!!!!!!!!
Answer:
The square perimeter is 8 ft long
Step-by-step explanation:
Answer:
Perimeter of the square =4*all length
Step-by-step explanation:
Perimeter =4*2=8
The Perimeter of the mirror =8
How many degrees are in a third of a full turn?
Answer:
120 degrees
Step-by-step explanation:
There are 120 degrees in a third of a full turn. To determine this, you need to start with a full turn which is 360 degrees.
Answer:
120⁰ is the answer. Hope it helps have a nice day also ;)
The boss sent you to pick up lunch with $32.10, but you forgot how many hamburgers and hotdogs to pick up! The cost of a hamburger is $1.50 and the cost of a hot dog is $1.10. You must buy a combination of 23 items.
Answer:
Step-by-step explanation:
so we can make a system of equations
y=hotdogs
x=hamburgers
you need a combination that sums to 23, so add the two and get 23:
y+x=23
and then you need to account for how much money you have and the cost.
1.50x+1.10y=32.10
still working on it, will edit in rest so that you can see what I did
A new cylindrical can with a diameter of 5 cm is being designed by a local company. The surface area of the can is 130 square centimeters. What is the height of the can? Estimate using 3.14 for , and round to the nearest hundredth. Apply the formula for surface area of a cylinder SA=2B+2P
.
The height of the cylinder that has a given surface area would be = 5.78cm.
How to calculate the height of a cylinder when surface area is given?To calculate the height of the cylinder,the formula for surface area of a cylinder should be used and it's given below.
Surface area = 2πrh +2πr²
where;
radius = Diameter/2 = 5/2 = 2.5
surface area = 130cm²
height = ?
That is
130 = 2×3.14×2.5×h + 2×3.14 × 2.5×2.5
Simplify and make h the subject of formula;
130 = 15.7h + 39.25
15.7h = 130- 39.25
= 90.75
h = 90.75/15.7
= 5.78cm
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The height of the cylinder that has a surface area of 130 cm² and a diameter of 5 cm is approximately: 5.78 cm
What is the Surface Area of a Cylinder?The surface area of a cylinder cam be calculated using the formula below:
SA = 2πr(h + r)
where r is the radius and h is the height of the cylinder.
Given the following:
r = diameter/2 = 5/2 = 2.5 cm
Surface area (SA) = 130 square centimeters
h = ?
Plug in the values:
130 = 2 × 3.14 × 2.5(h + 2.5)
130 = 15.7(h + 2.5)
130 = 15.7h + 39.25
130 - 39.25 = 15.7h
90.75 = 15.7h
90.75/15.7 = h
h ≈ 5.78 cm
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There is no strong evidence that the temporal (time) pattern of \( M>8 \) eruptions (super-eruptions) is anything other than random. True False
False. There is no strong evidence to support the claim that the temporal pattern of super-eruptions (M>8 eruptions) is random.
The statement claims that the temporal pattern of super-eruptions is random, implying that there is no specific pattern or correlation between the occurrences of these large volcanic eruptions. However, scientific studies and research suggest otherwise. While it is challenging to study and predict rare events like super-eruptions, researchers have analyzed geological records and evidence to understand the temporal patterns associated with these events.
Studies have shown that super-eruptions do not occur randomly but tend to follow certain patterns and cycles. For example, researchers have identified clusters of super-eruptions that occurred in specific geological time periods, such as the Yellowstone hotspot eruptions in the United States. These eruptions are believed to have occurred in cycles with intervals of several hundred thousand years.
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WILL MARK BRAINLIST!!!!
Answer:
parallelogram
explanation:
way to know if a quadrilateral is a parallelogram is if opposite sides are actually.
Answer:
I believe the answer is probably parallelogram because it is undetified if it is equivalent on the sides or not. If the sides were equal it would be an isosceles trapezoid and if they weren't it would be a trapezoid. Since there is not enough info about the side legnths of the figure it would more than likely be a parallelogram.
describe some possible random variables (other than the ones mentioned previously) and discuss whether they are continuous random variables or discrete random variables.
Random variables can be either discrete or continuous.
Sample spaces need not consist of numbers. In statistics, we are most often interested in numerical outcomes such as the "count" of an occurrence. We call X a random variable because its values vary when the phenomenon is repeated. We use capital letters near the end of the alphabet like X or Y.
A random variable is a variable whose value is a numerical outcome of a random phenomenon. When a random variable describes a random phenomenon the sample space S just lists the possible values of the random variable. There are two ways of assigning probabilities to the values of a random variable that will dominate our application of probability as we study statistical inference.
Random variables can be either discrete or continuous. A discrete random variable X has a "countable number of possible values. The probability distribution of X lists the values and their probabilities in table form. The probabilities must satisfy two requirements:
1) every probability pi is a number between 0 and 1
2) p1 + p2 +,,,+pk = 1.
The probability of any event is found by adding the probabilities pi of the particular values xi that makes up the event.
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