Answer:
A = 42 - 80 B = 40 - 112
Step-by-step explanation:
I can answer Both A & B for you however C & D aren't very clear.
A:
Perimeter = 42cm
Area = 80cm Cubed
B:
Perimeter = 40cm
Area = 112cm Cubed
Calculations
In Question A, you are given all the measurements for the perimeter except, which is the line at the bottom. If we take what we already have been given.
10 + 8 + 4 + 4 + 3
We have 3 sides currently without a measurement, The Right side of the shape is 8, therefore the left must be the same, so that measurement is 8.
The small line creating the indent inside the shape must be 2, as we know the line at the top = 10cm. The line opposite it is must be 3 as the one opposite is 3cm.
Factoring those into our calculation:
10 + 8 + 8 + 4 + 4 + 3 + 3 + 2 = 42cm (Perimeter)
To find the Area you multiply the Height of the shape by the width.
Height = 8
Width = 10
8 x 10 = \(80cm^{2}\) (Area)
In Question B, you are given all the measurements for the perimeter, so you would simply add them up again.
14 + 10 + 8 + 2 + 6 = 40cm (Perimeter)
To Calculate the Area as previously said you would multiply the width by height.
Height = 8cm
Width = 14
14 x 8 = \(112cm^{2}\) (Area)
Hope this helps :)
What is the value of x
Answer:
15m
Step-by-step explanation:
The length is being multiplied by 3 every time. 4=12 and 6=18 so 5 would be 15.
CAN YOU HELP ME!
Which expression is undefined?
A. 0 divided 3
B. 15/9+(-9)
C. (7-7)/9
D. (0-8)/-4
Answer:
B) 15/(9+(-9))
Step-by-step explanation:
Be careful of the parentheses because if you just write out 15/9+(-9),
it's technically, saying that 15/9+(-9)=5/3+(-9)=5/3-9, and that's different from what you want to express, mathematically.
Answer:
B. 15/9+(-9)
Step-by-step explanation:
Which of the following is a solution of the differential equation xy' + y = 14x? · y = 14x – 8x-1 o y = 8x-1 - 7x · y = 7x – 8x-1 · y = 16x-1 - 7x · y = 14x + 8x-1
Option D is a solution to the given differential equation. To check which of the options is a solution of the given differential equation.
we can simply substitute y and y' from each option into the equation and see if it satisfies the equation.
Let's begin with option A:
y = 14x – 8x^(-1)
y' = 14 + 8x^(-2)
Substituting these values into the differential equation xy' + y = 14x, we get:
x(14 + 8x^(-2)) + (14x - 8) = 14x
Simplifying this expression, we get:
14x + 8 - 8 + 14x(-1) = 0
This simplifies to:
14x - 14x = 0
Therefore, option A is not a solution to the given differential equation.
We can repeat this process for each option, but I can already tell you that option D is the correct answer. Here's the proof:
y = 14x + 8x^(-1)
y' = 14 - 8x^(-2)
Substituting these values into the differential equation xy' + y = 14x, we get:
x(14 - 8x^(-2)) + (14x + 8x^(-1)) = 14x
Simplifying this expression, we get:
14x + 8x^(-1) = 14x
Therefore, option D is a solution to the given differential equation.
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As part of summer camp, Henry goes on a treasure hunt. He starts at the base of a tree
and walks 180 feet due north. He then turns and walks 80 feet due east. He turns again
and walks 80 feet due south.
How far is Henry from the tree? Round your answer to the nearest foot.
Henry' distance is approximately 197 feet from the tree.
To determine Henry's distance from the tree
Use the Pythagorean theorem,
We know that the Pythagoras theorem for a right angled triangle:
(Hypotenuse)²= (Perpendicular)² + (Base)²
In this case,
The tree, Henry's starting point, and Henry's final position form a right triangle.
Let us designate the distance Henry goes north as "a," the distance he walks east as "b," and the distance he walks south as "c."
Then we have,
a = 180 feet (north)
b = 80 feet (east)
c = 80 feet (south)
Now use the following formula to calculate the distance from the tree to Henry's ultimate position,
Which is the hypotenuse of the right triangle:
d = √(a² + b²)
Put the values we have, we get:
⇒ d = √(180² + 80²)
⇒ d = √(32400 + 6400)
⇒ d = √38800
⇒ d ≈ 197.0 feet
Hence,
The distance be,
⇒ 197 feet
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PLS HELP ASAP(100 POINTS)
The following tree heights were recorded on a school campus:
61, 72, 84, 88, 77, 67, 76, 79, 63, 79, 69, 70, 86, 78, 82, 82, 80, 73, 87, 90, 73, 76, 79, 71, 75, 79, 76, 83, 84, 87, 72, 81, 89, 74, 77, 78, 81, 84
A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. Which display will present the information in this way?
Bar chart
Dot plot
Circle graph
Histogram
A plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram
In this question, we have been given the tree heights recorded on a school campus.
A science teacher wants to choose a data display that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc.
We need to find a correct plot that will present the information in this way.
We know that in bar charts, each bar represents one value(category). And in a histogram, each bar will represent a continuous data
Therefore, a plot that will present the information that will highlight how many trees are in a range of heights, such as 60–64, 65–69, etc. : histogram
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Answer:
Step-by-step explanation:
A plot that will display information highlighting the number of trees in a range of heights, such as 60-64, 65-69, and so on: histogram
We were provided the tree heights reported on a school grounds in this question. A science instructor needs to select a data presentation that will show how many trees are in a given height range, such as 60-64, 65-69, and so on. We must find a suitable plot to portray the data in this manner. We know that each bar on a bar chart represents one value (category). And each bar in a histogram represents continuous data.
Write an equation for sin(x) with the given features and an amplitude of 1 13. Period: 2π Midline: y = -3 Horizontal shift: to the right 2
The equation for sin(x) with an amplitude of 1 1/3, period of 2π, midline of y = -3, and a horizontal shift to the right by 2 is:
y = (4/3) sin((1/(2π))(x + 2)) - 3
The general form for the equation of a sinusoidal function is:
y = A sin(B(x - C)) + D
where A is the amplitude, B is the frequency (and inversely related to the period), C is the horizontal shift, and D is the vertical shift or midline.
Using the given features, we can plug in the values:
Amplitude = 1 1/3 = 4/3
Period = 2π, so frequency = 1/Period = 1/(2π)
Midline: y = -3
Horizontal shift: to the right 2, so C = -2
Plugging these values into the general equation, we get:
y = (4/3) sin((1/(2π))(x + 2)) - 3
Therefore, the equation for sin(x) is y = (4/3) sin((1/(2π))(x + 2)) - 3.
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The marked price of a ceiling fan is $ 750
and the shopkeeper allows a discount of 6%
on it. Find the selling price of the fan.
Answer:
705
Step-by-step explanation:
100% - 6% = 94% = 0.94.
750 x 0.94 = 705
What are all the values that a correlation r can possibly take?A. 0 ≤ r ≤ 1B. r ≥0C. -1 ≤ r ≤ 1D. None of the above.
The values that a correlation r can possibly take are -1 ≤ r ≤ 1. Thus, option C is correct as per the correlation relation.
Correlation is a statistical measurement that describes the extent to which two variables are linearly related to each other in positive and negative directions. The correlation coefficient is denoted by r.
The value of correlation r can range from -1 to 1. Here,
-1 indicates: a perfect negative correlation
0 indicates: no linear correlation
1 indicates: a perfect positive correlation
Therefore, we can conclude that the values that a correlation r can possibly take are between -1 ≤ r ≤ 1.
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Henry left Terminal A 15 minutes earlier than Xavier, but reached Terminal B 30 minutes later than him. When Xavier reached Terminal B, Henry had completed & of his journey and was 30 km away from Terminal B. Calculate Xavier's average speed.
Xavier's average speed is 1 kilometer per minute.
To calculate Xavier's average speed, we need to determine the total time it took him to reach Terminal B and the distance traveled.
Given that Henry had completed 3/4 of the journey when Xavier reached Terminal B, it means Xavier took 1/4 of the total time for the journey. Since Xavier reached Terminal B 30 minutes earlier than Henry, we can infer that Xavier took 30 minutes for his part of the journey.
Since Henry was 30 km away from Terminal B when Xavier reached it, we can assume that Xavier traveled the remaining 30 km to reach Terminal B.
Therefore, Xavier's average speed can be calculated as the distance divided by the time:
Average Speed = Distance / Time = 30 km / 30 minutes = 1 km/minute.
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A correlation coefficient of .90 indicates a(n) ________ relationship between two variables.
a. strong positive
b. strong negative
c. absence of
d. weak positive
A strong positive relationship between the two variables.
We first need to understand that there are two common variables, the dependent variable, and the independent variable. The independent variable is manipulated, and the dependent variable is measured. If the two variables are related, then they are correlated.
Correlation coefficients can be in between 1 and -1, with values closer to 1 indicating a stronger relationship. Positive values show a positive correlation while negative values show a negative correlation.
Therefore, a correlation coefficient of .90 indicates a strong positive relationship between the two variables.
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The slope of the graphed line is . Which formulas represent the line that is graphed? Check all that apply.
Answer:
Y=mx+b
Step-by-step explanation:
What is the value of x in the equation 1/4 x- 2/3y=30, when y=15
Answer:
x = 40
Step-by-step explanation:
x - \(\frac{2}{3}\)y = 30 Replace y with 15
x - \(\frac{2}{3}\)(`15) = 30 \(\frac{2}{3}\)\((\frac{15}{1}\)) = \(\frac{30}{10}\) = 3
x - 10 = 30 Add 10 to both sides of the equation
x = 40
Check:
x - \(\frac{2}{3}\)y = 30
40 - \(\frac{2}{3}\)(15) =30
40 - 10 = 30
Answer:
x would be equal to 160.
Step-by-step explanation:
When y=15, \(\frac{2}{3}*15=10\).
So, we can rephrase this as \(\frac{1}{4}x-10=30\).
Because we need the end result to be equal to 30, we need to get \(40-10=30.\)
Because we need to make 40 with the fraction \(\frac{1}{4}\), we can have x be equal to 160, and we would get \(\frac{160}{4}=40\).
So, we know that x = 160.
how many books can you read in 56 months ??
Answer:
depends what type of books you mean and the pace you can read so theres no right or wrong answer cause everyone is at different levels when it comes to reading
Answer:
weird answer but if it where only chapter books ill read 20
if it where regular books i would read 50
write a statement that creates a list called my_nums, containing the elements 5, 10, and 20.
A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?An array is a grouping of identically typed elements that are stored in adjacent memory locations and may each be separately referred to using an index to a special identifier. There is no need to declare five distinct variables when declaring an array of five integer values (each with its own identifier).
What are three types of arrays?The three types of arrays are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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A statement that creates a list is my_nums= [5,10,15]. This is also known as array.
What is an array?
An array is a data structure consisting of a collection of elements (values or variables), each identified by at least one array index or key. An array is a combination of a set of elements which are all of the same data type, organized in a particular way. Arrays are used to store multiple values in a single variable, structure data, and access data more efficiently. Arrays are generally used to represent data in a structured way, and they can be used to perform various mathematical operations and other calculations. Arrays are also useful for sorting and searching data in a predetermined order.
What are three types of array?
The three types of array are index, multidimensional and associative array.
my_nums= [5,10,15] is an array that stores multiples of 5.
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The first 30 students who arrived for the History lecture filled out a questionnaire on their attitudes toward the instructor. The school average for their instructors is 9.3 out of 10 with an estimated standard error of the mean of 2.3. This history teacher had an average of 8.6 with a standard deviation of 0.6. The appropriate design for testing the significance of the difference between the means is:______.
The appropriate design for testing the significance of the difference between the means in this scenario is a one-sample t-test.
To calculate the one-sample t-test, we need to compare the mean score of the history teacher (8.6) with the school average (9.3) and take into account the standard deviation of the history teacher's scores (0.6) and the estimated standard error of the mean for the school average (2.3).
The null hypothesis for the one-sample t-test is that there is no significant difference between the history teacher's mean score and the school average. The alternative hypothesis is that there is a significant difference.
We can calculate the t-value using the formula:
t = (mean score - population mean) / (standard deviation / √sample size)
Substituting the values from the given information:
t = (8.6 - 9.3) / (0.6 / √30) ≈ -1.16
Next, we can determine the critical value for a given level of significance (usually denoted by α). Let's assume a significance level of 0.05 (5%). We need to look up the critical value from the t-distribution table with degrees of freedom equal to the sample size minus 1 (n-1). In this case, the degrees of freedom would be 30 - 1 = 29. The critical value for a two-tailed test at a 5% significance level is approximately ±2.045.
Comparing the absolute value of the calculated t-value (-1.16) with the critical value (2.045), we find that the calculated t-value does not exceed the critical value. Therefore, we fail to reject the null hypothesis, indicating that there is no significant difference between the history teacher's mean score and the school average.
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What is the volume of a sphere with a radius of 8 m, rounded to the nearest tenth of a cubic meter?
Answer:
267.94
Step-by-step explanation:
V=4/3(pi)r^2
V=4/3(3.14)8^2
V=4/3(3.14)64
V=4/3(200.96)
V=267.94
Answer:
2144.7 m^3
Step-by-step explanation:
The figure shows two perpendicular lines s and r, intersecting at point Pin the interior of a trapezoid. Line ris parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid. РWhich transformation will always carry the figure onto itself? a) A rotation of 270° clockwise about point P b) A reflection across liner c) A reflection across liner d) A rotation of 180° clockwise about point P e) A rotation of 90° clockwise about point P f) A reflection across line s
A reflection of across line s is correct
The correct option is (b)
"Information available from the question"
The figure shows two perpendicular lines s and r, intersecting at point Pin the interior of a trapezoid.
Line r is parallel to the bases and bisects both legs of the trapezoid. Line s bisects both bases of the trapezoid.
Analysis the figure:
Since s is a line of symmetry
(x, y) = (-x, y)
r is not a line of symmetry
∴ (x, y) ≠ (x, -y)
(a) Across line r
(x, y) = (x, -y)
This is incorrect
(b)Reflection across line s
(x ,y) = (-x, y)
This is correct
(c) Rotation of 90° clockwise
(x, y) = (y ,-x)
This is incorrect
(d) Rotation of 180° clockwise
(x, y) = (-x, -y)
This is incorrect
(e) Rotation of 270° clockwise
(x, y) = (y ,-x)
This is incorrect.
Hence, A reflection of across line s is correct.
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Someone help this is due today worth half my grade!!
Answer:
D-the slope of the line will be zero
Step-by-step explanation:
Put these numbers in order starting with the smallest
Answer: -1.12, -1^(1/2), 1^(1/8), 1^(1/2), 1^(2/3), 1.12
Step-by-step explanation:
Starting with the smallest:
-1.12
-1^(1/2) (which is equal to -1)
1^(1/8) (which is equal to 1)
1^(1/2) (which is equal to 1)
1^(2/3) (which is equal to 1)
1.12
Therefore, the numbers in order from smallest to largest are: -1.12, -1, 1, 1.12.
find the seventh term in the sequence
-4, -8, -16
Answer:
-4, -8, -16, -32, -64, -128, -256
the seventh term in the sequence is -256.
Step-by-step explanation:
Each term in the sequence is obtained by multiplying the previous term by 2.
What do Steven Hawking and Thomas Edison have in common?
The question is incomplete, the complete question is as follows:
What do Steven Hawking and Thomas Edison have in common
- Both men made mathematics discoveries
- Both men made discoveries that were well-received
- both men created technological inventions
- Both men used observations in their field of study
Answer:
- Both men made discoveries that were well-received
Step-by-step explanation:
Stephen Hawking and Thomas Edison were two great physicist or scientists, whose discoveries were well-recieved by all over the world.
Stephen Hawking gave theories in cosmology such as black holes that includes the second law, that states that black hole will never reduce its shape.
Thomas Edison was one of the great inventors in the history in different feilds such as mass communication, electric power generation, motion pictures, and sound recording. some of the inventions include Automatic Telegraph and tin foil phonograph.
They both have given scientific research and logics for their discoveries and so people accepted them.
Hence, the correct answer is " Both men made discoveries that were well-received ".
The answer is:
Both men made discoveries that were well-received.a) The mean is _____. *
b) The standard deviation is _____. *
c) Approximately _____ % of the data values fall between 223 and 237. *
This is a required question
d) Approximately _____ % of the data values fall between 216 and 244.
e) Approximately _____ % of the data values fall between 209 and 251.
Answer:
If all of the observed values in a sample are close to the sample mean, the standard deviation will be small (i.e., close to zero), and if the observed values vary widely around the sample mean, the standard deviation will be large. If all of the values in the sample are identical, the sample standard deviation will be zero.
Step-by-step explanation:
tan 45- cos ~ 60° = x. Sin 45. ta
The trigonometric values we require :
\(\begin{tabular}{c | l}trigonometric value & numerical value \\\cline{1-2}tan 45^{o}& 1 \\cos 60^{o} & 0.5 \\sin 45^{o} & 1 \div \sqrt{2}\end{tabular}\)
Now, let's solve for x.
tan 45° - cos 60° = x (sin 45°)
\(\mathrm {1 - \frac{1}{2} = x (\frac{1}{\sqrt{2}})}\)
\(\mathrm {\frac{1}{2} = \frac{x}{\sqrt{2}}}\)
\(\mathrm {x = \frac{\sqrt{2}}{2}}\)
\(\mathrm {x = \frac{1}{\sqrt{2}}}\)
The value of x is 1/√2.
I hope it helped you solve the problem
Good luck on your studies!
Y=5x-9
-2x-3y=-7
Please show
work!
Answer:
im not sure sweetheart <3
Step-by-step explanation:
In the next several games, the pitcher threw a total of 384 pitches and used a fastball 240 times. What decimal should Juanita use to update her report?
Juanita should use the decimal to update her report.
The decimal that Juanita can use to update her report is 1.6.
What is a decimal?A decimal is a number with a whole and a fractional part. Decimal numbers are between integers and represent numerical value for whole plus some fraction of a whole.
The decimal numeral system is the most widely used system for representing both integer and non-integer numbers. It is the Hindu-Arabic numeral system's extension to non-integer numbers. Decimal notation refers to the method of representing numbers in the decimal system.
In this case, the the pitcher threw a total of 384 pitches and used a fastball 240 times. The decimal will be:
= Number of throws / Fastball
= 384 / 240
= 1.6
The decimal is 1.6.
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18 - 2n2 for n = 3
Need help
Answer:
Step-by-step explanation:
Here are some steps to help you
Step 1
18 - 2n2 We are gonna be evaluating
Step 2
18 - 2n^2 Substitute n for 3
18-2(3^2)
Step 3
18-2(3^2) simplify
0
So therefore, your answer is 0
Hope this helps
HELP PLEASE ITS TIMED!
CLICK THE IMAGE PLEASE
Answer:
a
Step-by-step explanation:
Don't even need to complete the square, just look at what two numbers when foiling gives -16x. (x-8) (x-8)= -8x-8x= -16x. full equation is x^2-16x+64 but question didnt ask 4 that, wish it did.
a triangle has side lengths in the ratio is inscribed in a circle with radius . what is the circumference of the triangle?
Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.
To find the circumference of the triangle, we need to first find the lengths of its sides. Let the three sides be x, y, and z, such that x:y:z is the given ratio. Without loss of generality, we can assume that x is the shortest side.
Let k be a constant such that y = kx and z = lx, where k and l are constants. Then, we have:
x + kx + lx = 2r
Simplifying this equation, we get:
x(1 + k + l) = 2r
So, we have:
x = (2r)/(1 + k + l)
y = kx = k(2r)/(1 + k + l)
z = lx = l(2r)/(1 + k + l)
The circumference of the triangle is the sum of its three sides:
C = x + y + z
Substituting the expressions for x, y, and z, we get:
C = (2r)/(1 + k + l) + k(2r)/(1 + k + l) + l(2r)/(1 + k + l)
Simplifying this expression, we get:
C = (2r(1 + k + l))/(1 + k + l)
C = 2r
Therefore, the circumference of the triangle is 2r, which is equal to the diameter of the circle.
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The area of the triangle is equal to A) 8.64. The Correct option is A) 8.64.
Let the lengths of the triangle be, 3x,4x,5x
Square of largest side = \(25x^{2}\)
Sum of square of other sides = \(3x^{2} + 4x^{2} = 25x^{2}\)
It is a right-angled triangle because the square of the greatest side equals the sum of the squares of the other sides.
The circumference of a right-angled triangle has a diameter equal to its hypotenuse.
hence, 5x=6 or x= \(\frac{6}{5}\)
Now, two perpendicular sides are then, \(\frac{18 }{5} , \frac{24}{5}\)
\(Area = \frac{1}{2} \times \frac{18}{5} \times \frac{24}{5} = 8.64\)
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Question
A triangle with side lengths in the ratio 3 : 4 : 5 is inscribed in a circle of radius 3. The area of the triangle is equal to
A. 8.64
B. 12
C. 6
D. 10.5
answer plz i need help
if bob had x dollars and his sister Annika has four times as many , express algebraically the number of dollars Annika has
Annika has 4x dollar
Answer:
Annika has $4x
Hope I helped
Sarah has saved $150. She wants to double the amount she saves each month. As an incentive, Sarah's grandma says if she saves that amount, she will give her an additional $50 each month. What is the recursive sequence formula and first term for Sarah’s savings
A recursive relation is a relation that defines the terms in a sequence with the previous terms.
Here, the recursive relation will be:
\(A_n = 2*A_{n - 1} + $50\)
A₁ = $150.
We know that:
Sarah has saved $150 at the moment.
She wants to double the amount that she saves each month, so the next month she needs to save 2*$150 = $300
And if she saves the $300, then her grandma will give her another $50.
Then, if the previous month Sarah saved A, then the next month she will get the double of A plus $50, which is:
2*A + $50
Then the recursive relation is just:
\(A_n = 2*A_{n - 1} + $50\)
Where Aₙ is the amount that she saves in the n-th month, and the first term of the sequence is the initial amount that she saved, so we have:
A₁ = $150.
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