The values are
round 3 to the nearest 10th is 3.0round 1 to the nearest 10th is 1.0round 26 to the nearest 10th is 26.0round 22 to the nearest 10th is 22.0round 8.5 to the nearest 10th is 8.5Define Rounding Numbers
Rounding means replacing a number with an approximate value that has a shorter, simpler, or more explicit representation. For example, replacing $23.4476 with $23.45, the fraction 312/937 with 1/3.
Round Values to Nearest Tenth :
To round the decimal number to its nearest tenth, look at the hundredth number. If that number is greater than 5, add 1 to the tenth value. If it is less than 5, leave the tenth place value as it is, and remove all the numbers present after the tenth's place.
To read more about Rounding Numbers
https://brainly.com/question/27207159
#SPJ1
what is the slope of the line through (-1, 2) and (-3, -2)
A. -1/2
B. -2
C. 2
D. 1/2
2
Step-by-step explanation:
-2 -2/ -3+1 = -4/-2 = 2
you just have to use the slope formula
Answer:
C. 2
The slope is 4/2 which is simplified to 2
Let θ = 855∘. Complete parts (a), (b), and (c) below. (a) Sketch θ in standard position. (b) Find an angle between 0∘ and 360∘ that is coterminal with θ. (c) Find an angle between −360∘ and 0∘ that is coterminal with θ
Let θ be equal to 855∘. Sketch θ in standard position. θ = 855∘ is in the fourth quadrant of the coordinate plane θ = 855∘
The given angle, θ, is a positive angle. It is measured in the counterclockwise direction from the initial side to the terminal side.Hence, we sketch θ in the standard position with its initial side along the positive x-axis.
Find an angle between 0∘ and 360∘ that is coterminal with θ.
The angle between 0∘ and 360∘ that is coterminal with θ is given by:
θ1 = θ - n × 360∘θ1 = 855∘ - 2 × 360∘θ1 = 855∘ - 720∘θ1 = 135∘
Therefore, an angle between 0∘ and 360∘ that is coterminal with θ is 135∘.Find an angle between −360∘ and 0∘ that is coterminal with θ.
The angle between −360∘ and 0∘ that is coterminal with θ is given by:
θ2 = θ + n × 360∘θ2 = 855∘ + 2 × 360∘θ2 = 855∘ + 720∘θ2 = 1575∘
Therefore, an angle between −360∘ and 0∘ that is coterminal with θ is 1575∘.To learn more about “angle” refer to the https://brainly.com/question/25716982
#SPJ11
The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?
Click pic to see whole problem
Answer:
Step-by-step explanation:
Solving systems of equations gives the points of intersection when the equations are graphed.
The answer is 3.
histograms can be used to observe where the data tends to
Histograms can be used to observe where the data tends to cluster.
What is a histogram?
A histogram is a visual depiction of data points arranged into ranges that the user has chosen. The histogram, which resembles a bar graph in appearance, groups numerous data points into comprehensible ranges or bins in order to compress a data series into an easily understood visual.
Histogram is used when data is in numbers and data tends to cluster. It is used to examine the data distribution's form. It is even used to evaluate whether the output differs when two or more processes are involved.
Hence, histograms can be used to observe where the data tends to cluster.
Learn more about histogram from the given link
https://brainly.com/question/28164315
#SPJ1
Juan starts a new coffee shop. The table shows the coffee sales at his shop for the first 5 days. What is the average rate of change per day between the 2nd and 5th day?
Answer:
Average rate of change from day 2 to day 5 is $43.33/day.
Step-by-step explanation:
Sales on day 2 = 200
Sales on day 5 = 330
Rate of change = \(\frac{330-200}{5-2} =\frac{130}{3}=43.33\)
Factor f(x)=3x³ + 7x²2-18x+8 into linear factors given that -4 is a zero of f(x).
f(x) = 3x³ + 7x²-18x+8 =
(Factor completely.)
Factor f(x)=3x³ + 7x²2-18x+8 into linear factors is f(x) = (x+4)(3x+7)(x-7/3)
Define factorizationIn mathematics, factorization (also known as factoring) is the process of finding the factors of a given mathematical expression or number. A factor is a number or expression that divides another number or expression exactly, leaving no remainder.
For example, the factors of 6 are 1, 2, 3, and 6 because these are the numbers that divide 6 exactly with no remainder. Similarly, the factors of x² - 4 are (x+2)(x-2) because when we multiply these two expressions together, we get x² - 4.
If -4 is a zero of f(x), then x+4 is a factor of f(x) by the factor theorem
f(x) = (x+4)(3x² - 5x - 78)
To factor the quadratic further, we can use the quadratic formula or factoring by grouping:
3x² - 5x - 78 = 0
x = (5 ± √(5² + 4(3)(78))) / (2(3))
x = (5 ± 19) / 6
x = -7/3 or x = 13/3
Therefore, we have:
f(x) = (x+4)(3x+7)(x-7/3)
To know more about remainder, visit:
https://brainly.com/question/29019179
#SPJ1
By rounding to one significant figure estimate the answer to 71 x 8.2 / 0.22
Rounding 2646.3636 to one significant figure, the estimated answer is 3000.
To estimate the answer to 71 x 8.2 / 0.22 and round to one significant figure, we need to perform the calculations and apply the rounding rule.
First, let's perform the multiplication: 71 x 8.2 = 582.2.
Next, we divide the result by 0.22: 582.2 / 0.22 = 2646.3636 (rounded to 4 decimal places).
Now, we need to round the result to one significant figure.
The general rule for rounding is to look at the digit immediately to the right of the desired significant figure.
If that digit is 5 or greater, we round up; if it is less than 5, we round down.
In this case, the digit immediately to the right of the desired significant figure is 6.
Since 6 is greater than 5, we round up the desired significant figure, which is the first digit, to the next higher number.
Therefore, rounding 2646.3636 to one significant figure, the estimated answer is 3000.
Please note that rounding to one significant figure may result in a loss of precision and significant digits in the final answer.
It is important to consider the context and accuracy requirements when rounding to a specific number of significant figures.
For similar question on estimated.
https://brainly.com/question/597381
#SPJ8
Tell me the answer!!
Answer:
I think answer number 1 and number 4
Step-by-step explanation:
to find the perimeter you add all the sides together, there are 4 sides in the square so it will be 2+2+2+2 which will give you 8 and you can also multiply 2 by the 4 sides which will also give you 8
Answer:
First and last answer choices
Step-by-step explanation:
to find perimeter u have to add all the sides of the shape in this case its state that the lengths of the square are 2in if we add everything up our answer is 8, so the answer choices with the answer 8 should be the right answers
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
How do I solve for x.
Answer:
x = 17
Step-by-step explanation:
(whole secant) x (external part) = (whole secant) x (external part)
(x+7) * 7 = ( 13+8) *8
(x+7) * 7 = ( 21) *8
Divide each side by 7
x+7 = 21/7 *8
x+7 = 3*8
x+7 = 24
Subtract 7
x = 17
Answer:
The answer is x = 17
Though I think the other guy explained it better
help plsssssssssssss
Answer:
144
Step-by-step explanation:
72% of 200 is 144
Equation: 0.72*200 = 144
Answer:
B. 144
Step-by-step explanation:
9. A snail moves at a speed of 8.5 meters per hour.
How long will it take a snail to travel 12 feet at this pace?
(Note: 1m = 3.28ft )
The snail will take approximately 0.43 hours or 25.8 minutes to travel 12 feet at the speed of 8.5 meters per hour.
Given, A snail moves at a speed of 8.5 meters per hour, 1m = 3.28ft. Let's convert meters per hour into feet per hour by multiplying it with 3.28ft/m. So, 8.5 meters per hour = 8.5 × 3.28 feet per hour ≈ 27.88 feet per hour.
Now, to calculate the time taken by a snail to travel 12 feet, we can use the formula: Time = Distance ÷ Speed
Time taken = 12 feet ÷ 27.88 feet per hour ≈ 0.43 hours (rounded to two decimal places)
Now, let's convert 0.43 hours to minutes by multiplying it with 60 minutes per hour: 0.43 hours × 60 minutes per hour ≈ 25.8 minutes (rounded to one decimal place). Therefore, it will take approximately 0.43 hours or 25.8 minutes for the snail to travel 12 feet at the speed of 8.5 meters per hour.
To know more about speed refer here:
https://brainly.com/question/31052185#
#SPJ11
Simplify an expression for the perimeter of the
rectangle shown.
Answer:
17.2x + 16.4
Step-by-step explanation:
→ Perimeter = All sides added together
8.6x + 3 + 8.6x + 3 + 5.2 + 5.2
→ Simplify
17.2x + 6 + 10.4
→ Simplify further
17.2x + 16.4
This composite figure is made up of three simpler shapes. What is the area of
the figure?
10 cm
17 cm
4 cm
4 cm
15 cm
A. 116 square cm
B. 100 square cm
C. 81 square cm
O D. 146 square cm
Answer:
116
Step-by-step explanation:
Just took test
Answer:
116 brotha
Step-by-step explanation:
Helpppp meeee please☹️
it's B because the input is put together in only one output.
Answer:
B
Step-by-step explanation:
A function's x should not repeat, but the y can !
Input=x
Output=y
help!!
A $40,000 does it with a 1.5% interest rate compounded quarterly for 6 years.
Answer: The total amount at the end of 6 years would be $47,971.27.
Step-by-step explanation:
1. Calculate the quarterly interest rate (1.5/4) = 0.375%
2. Calculate the number of quarters (6 years * 4 quarters) = 24 quarters
3. Calculate the amount after 6 years = $40,000 * (1 + 0.00375)^24 = $47,737.91
Enter your answer and show all the steps that you used
PLEASE HELP ITS DUE
Answer:
WE NEED MORE INFORMATION ITS NOT ENOUGH WE DONT KNOW WHAT TO DO TO THE SHAPE
Step-by-step explanation:
Which of these would be a helpful first step in solving the equation? Check all that apply.
9x + 5 = 5x + 21
A. subtract 5x
B. divide by 3
C. subtract 16
D. divide by 9
E. subtract 5
I believe it would be A and E. Good luck!!:)
An entrance to a building is not wheelchair accessible. The entrance is 6 feet above ground level and 30 feet from the roadway.
b. How can you build a ramp to meet the regulation within the space of 30 feet?
By utilizing a switchback ramp design, you can meet accessibility regulations within the space of 30 feet for the wheelchair-accessible ramp.
To build a wheelchair-accessible ramp within a space of 30 feet, you can consider using a switchback or zigzag ramp design. This design allows for a longer ramp within a limited space. Here's how you can construct the ramp:
1. Measure the vertical rise: In this case, the entrance is 6 feet above ground level.
2. Determine the slope ratio: To meet accessibility regulations, the slope ratio should be 1:12 or less. This means that for every 1 inch of rise, the ramp should extend 12 inches horizontally.
3. Calculate the ramp length:
Divide the vertical rise (6 feet or 72 inches) by the slope ratio (1:12).
The result is the minimum ramp length required, which is
72 inches x 12 = 864 inches.
4. Consider a switchback design: Since you have a limited space of 30 feet, a straight ramp may not fit. A switchback design allows for a longer ramp by changing direction.
This can be achieved by incorporating platforms or landings at regular intervals.
5. Design the switchback ramp: Divide the total ramp length (864 inches) by the available space (30 feet or 360 inches).
This will determine how many platforms or landings you can incorporate. Ensure that each section of the ramp remains within the slope ratio requirements.
6. Ensure safety and accessibility: Install handrails on both sides of the ramp, with a height of 34-38 inches, to provide support. Make sure the ramp is wide enough (at least 36 inches) to accommodate a wheelchair comfortably.
Know more about the vertical rise
https://brainly.com/question/1904673
#SPJ11
A researcher creates a scatter plot that displays the relationship between the number
of years in business, x, and the percentage of company business that is fair trade, y.
The researcher creates a line of best fit, y = 0.091x + 0.060, and wants to find the
residuals for the companies that have been in business for 3 years.
Find the residuals for the two points representing companies that have been in
business for 3 years, (3,0.42) and (3,0.3).
a.
Answer:
WHat is te question?
Step-by-step explanation:
HUH?
Awnser question 14 and 15
Answer:
F is 117 and E is 63
Step-by-step explanation:
supplementary angles are 2 angles that add up to 18 to solve this you need to subtract 54 from 180 you'll get 126 then divide it by 2 then you get 63 so that's E, and F would be 63 plus 54 and that's how you get 117.
In statistical process control, when a point falls outside of control limits, the probability is quite high that the process is experiencing _____________ .
A. common cause variation
B. student t variation
C. a reduction of variables
D. special cause variation
When a point falls outside of control limits in statistical process control, the probability is quite high that the process is experiencing special cause variation.
In statistical process control (SPC), control limits are used to define the range within which a process is expected to operate under normal or common cause variation. Common cause variation refers to the inherent variability of a process that is predictable and expected.
On the other hand, special cause variation, also known as assignable cause variation, refers to factors or events that are not part of the normal process variation. These are typically sporadic, non-random events that have a significant impact on the process, leading to points falling outside of control limits.
When a point falls outside of control limits, it indicates that the process is exhibiting a level of variation that cannot be attributed to common causes alone. Instead, it suggests the presence of specific, identifiable causes that are influencing the process. These causes may include equipment malfunctions, operator errors, material defects, or other significant factors that introduce variability into the process.
Therefore, when a point falls outside of control limits in statistical process control, it is highly likely that the process is experiencing special cause variation, which requires investigation and corrective action to identify and address the underlying factors responsible for the out-of-control situation.
Learn more about statistical process control here:
https://brainly.com/question/32323372
#SPJ11
Can y’all help me plz
Answer:
3.65, because 14.60 divided by 4 is 3.65
Step-by-step explanation:
Answer:
3.65....................
how many different license plates are available if the license plate pattern consists of 4 letters followed by 3 digits? assume all letters are uppercase and the digits are 0,1,2,...,9.duplicates are okay.
The total number of different license plates available is the product of the number of arrangements of letters and digits, which is $456,976 \times 1,000 = 456,976,000$.
To determine the number of different license plates available if the pattern consists of 4 letters followed by 3 digits, we need to calculate the total number of possible arrangements of letters and digits.
There are 26 letters in the alphabet, and we can choose any of them for the first letter, any of them for the second letter, and so on. For the first letter, there are 26 choices, and for the second letter, there are also 26 choices. We have 4 letters in total, so the total number of arrangements of letters is $26 \times 26 \times 26 \times 26 = 456,976$.
For the three digits that follow the letters, we have 10 choices for each digit. So the total number of arrangements of digits is $10 \times 10 \times 10 = 1,000$.
Therefore, the total number of different license plates available is the product of the number of arrangements of letters and digits, which is $456,976 \times 1,000 = 456,976,000$. So, there are 456,976,000 different license plates available with the given pattern.
To learn more about arrangements, click here:
brainly.com/question/29116011
#SPJ11
Use the Limit Comparison Test to determine if the series converges. [infinity] ∑ k + 15 k/(k - 3)(k + 1) k=1 Diverges Converges
$\sum_{n=1}^\infty a_n$
Given the series:$$\sum_{k=1}^\infty \frac{k+15}{(k-3)(k+1)}$$To determine if the series converges or diverges, we will use the Limit Comparison Test.Limit Comparison TestSuppose we have two series, $a_n$ and $b_n$, such that $a_n > 0$ and $b_n > 0$ for all $n \geq N$ for some $N$. Also, suppose that $\lim_{n\to\infty} \frac{a_n}{b_n} = c > 0$.Then, $\sum_{n=1}^\infty a_n$ converges if and only if $\sum_{n=1}^\infty b_n$ converges. Furthermore, if one of the series converges/diverges, the other one does as well.Let $a_n = \frac{k+15}{(k-3)(k+1)}$ and $b_n = \frac{1}{k^2}$. Then, $a_n > 0$ and $b_n > 0$ for all $n \geq 1$.Let us find $\lim_{n \to \infty} \frac{a_n}{b_n}$:$$\lim_{n\to\infty} \frac{a_n}{b_n} = \lim_{n\to\infty} \frac{k+15}{(k-3)(k+1)} \cdot \frac{k^2}{1} = \lim_{n\to\infty} \frac{k^3 + 15k^2}{k^3 - 2k^2 - 3k + 3k^2 + 3k - 1}$$$$\lim_{n\to\infty} \frac{a_n}{b_n} = \lim_{n\to\infty} \frac{k^3 + 15k^2}{k^3 + k^2 - 3k - 1}$$We can apply the Limit Comparison Test only when the limit above is a positive constant.Let's compute the limit of the ratio above:$$\lim_{n\to\infty} \frac{k^3 + 15k^2}{k^3 + k^2 - 3k - 1} = \lim_{n\to\infty} \frac{k^3 \left(1 + \frac{15}{k}\right)}{k^3 \left(1 + \frac{1}{k}\right) - 3k\left(1 + \frac{1}{k^2}\right) - \frac{1}{k^3}}$$$$= \lim_{n\to\infty} \frac{k^3}{k^3} \cdot \lim_{n\to\infty} \frac{1 + \frac{15}{k}}{1 + \frac{1}{k}} \cdot \lim_{n\to\infty} \frac{1}{1 + \frac{1}{k^3} - 3\frac{1}{k} - \frac{1}{k^3}}$$$$= 1 \cdot 1 \cdot 1 = 1$$Since $\lim_{n\to\infty} \frac{a_n}{b_n}$ is a positive constant, we can conclude that the two series $\sum_{n=1}^\infty a_n$ and $\sum_{n=1}^\infty b_n$ converge or diverge together, i.e., either both converge or both diverge. Since $\sum_{n=1}^\infty b_n$ is a p-series with $p = 2 > 1$, it converges. Hence, $\sum_{n=1}^\infty a_n$ also converges.The given series converges.
Learn more about converges
brainly.com/question/15415793
#SPJ4
help please!!!!!!! very confused!
Answer:
#2
63 questions correctly
Step-by-step explanation:
I hope this helps
15 questions 8 incorrect
15/8= 1.875
135/1.875= 72 incorrectly
135 questions- 72incorrectly= 63correct questions
if the population of a country increases by 35% every decade by what percentage does it increase by every year
Answer:
hi
have a good day for you
Cuánto es (5)(-2)(-1)(-8) ayudaaaaaa
Answer:
que
Step-by-step explanation:
no Tengo carnitas yo quero sopes
A fully I flared basketball has a radius of 12 centimeters. How many cubic centimeters of air does your ball need to fully inflate?
The volume of air needed is equal to the volume of the sphere, which is 7,234.56 cm³.
How to get the volume of a sphere?The volume of air that we need is equal to the volume of the basketball.
Remember that for a sphere of radius R, the volume is:
\(\sf V = \huge \text(\dfrac{4}{3}\huge \text)\times3.14\times r^3\)
In this case, the radius is 12 cm, replacing that we get:
\(\sf V = \huge \text(\dfrac{4}{3}\huge \text)\times3.14\times (12 \ cm)^3=7,234.56 \ cm^3\)
Then, to fully inflate the ball, we need 7,234.56 cm³ of air.
If you want to learn more about spheres, kindly check out the link below:
https://brainly.com/question/32048555
The following table consists of one student athlete's time (in minutes) to swim 2000 yards and the student's heart rate (beats per minute) after swimming on a random sample of 10 days.Swim Time Heart Rate34.14 14435.73 15234.72 12434.07 14034.12 15235.72 14636.19 12835.57 13635.37 14435.59 148A) Enter the data into your calculator and make a scatter plot.B) Use your calculator's regression function to find the equation of the least-squares regression line. Add this to your scatter plot from part (a).C) Explain in words what the slope and y-intercept of the regression line tell us. (Round your answers to one decimal place.) The slope indicates that for each additional minute added to the swim time, the heart rate will _____ by beats ____ per minutes. The y-intercept indicates that if the student is not swimming at all, his heart rate will be _____ beats per minute
The given problem involves a student athlete's swim time and heart rate data for a random sample of 10 days. To analyze the data, we will first create a scatter plot by entering the data into a calculator. Then, using the regression function on the calculator, we can find the equation of the least-squares regression line and add it to the scatter plot. Lastly, we will interpret the slope and y-intercept of the regression line.
By entering the swim time and heart rate data into a calculator, we can create a scatter plot that represents the relationship between the two variables. Next, using the calculator's regression function, we can determine the equation of the least-squares regression line. This line represents the best fit to the data points and allows us to make predictions or analyze the relationship between swim time and heart rate.
Interpreting the regression line, the slope indicates the rate of change in the heart rate for each additional minute added to the swim time. For example, if the slope is 3.2, it means that for each additional minute added to the swim time, the heart rate will increase by 3.2 beats per minute.
The y-intercept represents the predicted heart rate when the swim time is zero. It indicates the baseline or starting point of the heart rate. For example, if the y-intercept is 120, it means that if the student is not swimming at all, their heart rate is predicted to be 120 beats per minute.
By interpreting the slope and y-intercept of the regression line, we can understand the relationship between swim time and heart rate and make predictions based on the data.
Learn more about regression line here:
https://brainly.com/question/30243761
#SPJ11