Answers
Answer:
29 due the a^2 +b^2=c^2 in the Pythagorean theorem
Answer:
its √841
Step-by-step explanation:
solution way; is the pythagorean theorem
[a×a+b×b=c×c]
21×21=441
20×20=400
c×c=441+400=841
c is √841
Related Questions
In its standardized form, the normal distribution has which of the following properties?
O A. It has a mean of 0 and a standard deviation of 1
O B. It has a mean of 1 and a variance of 0
© C. It cannot be used to approximate discrete probability distributions
O D. It has an area equal to 0 5.
Answers
The answer is A. The normal distribution in its standardized form has a mean of 0 and a standard deviation of 1. This means that the distribution is centered around 0, and the spread of the data is determined by the standard deviation of 1. This is useful in statistical analysis because it allows us to compare data from different distributions on a standardized scale.
The normal distribution is a continuous probability distribution that is often used in statistical analysis. It is characterized by a bell-shaped curve and is symmetrical around its mean. In its standardized form, the normal distribution has been transformed to have a mean of 0 and a standard deviation of 1. This transformation is achieved by subtracting the mean of the distribution from each data point and dividing by the standard deviation. This standardization allows us to compare data from different normal distributions on a standardized scale.
The normal distribution has many properties that make it useful in statistical analysis. It is often used as a model for many real-world phenomena, such as the distribution of human height, IQ scores, and many others. The normal distribution is also useful because it is well understood and has many mathematical properties that make it easy to work with.
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Please help if your good at Central and Inscribed Angles.
Answers
Using the central angle theorem, the degree measure of x is 53°.
The length of AB is 18.8 units.
Given a circle.
We have the central angle theorem,
We have that the angle subtended by an arc of a circle at the center is twice the angle subtended by the same arc at any point on the circle.
Here, the arc is semicircle.
Angle subtended by semicircle at the center= 180°
So, ∠ADB = 180° / 2 = 90°
Interior angles of a triangle sum up to 180°.
x = 180 - (37 + 90) = 53°
sin (x) = BD / AB
sin (53) = 15 / AB
AB = 15 / sin (53)
AB = 18.78 ≈ 18.8 units
Hence the measure of x is 53° and the length of AB is 18.8 units.
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Students are voting on the color of T-shirts to wear on their field trip. There are 160 students-65 boys and 95 girls-going or
the field trip. A random sample of students is chosen. Surveying the random sample produced a representative sample of th
population. Which was most likely true of the representative sample?
The representative sample contained all 160 students.
The representative sample contained more boys than girls.
The representative sample contained more girls than boys.
The representative sample contained an equal number of boys and girls.
Answers
The point of a representative sample is to imitate the original population and not duplicate it. It is a more small scale representation of the original study.
With this in mind the first answer choice is wrong because it duplicates the original.
Since the representative sample imitates the original it needs to have the same properties as the original ,in this case there were more girls than boys, the second answer is also wrong.
The third one is correct because it had the same criteria as the original (more boys that girls).
The fourth one is wrong for the same reason as the second answer choice. It doesn’t fit the criteria.
Answer:
C
Step-by-step explanation:
Because I said so
Determine whether the triangles are similar. or not.
If similar, state how.
A. similar, AA
B. similar, sss
C. Similar, SAS
D. Not similar
Answers
Answer:
B.Similar,sss
Step-by-step explanation:
Since no angles measures are provided in these triangles, we can determine if these triangles are similar by using the SSS Similarity Theorem. This requires that we determine if each pair of corresponding sides have an equal ratio.
Since rugs will only be $6 per square foot, Katie is going to get a new rug for her apartment. The rug is shaped like a rectangle with a width of 8 feet and a diagonal length of 17 feet. How much will the rug cost?
Answers
Step-by-step explanation:
first we need to get the area of the rug she is going to get
since the rug is a rectangular shape with width and diagonal
using Pythagoras theorem to find the opposite
let
A: opposite. ,. B: adjacent,. C: hypotenuse
\( {c}^{2} = {a}^{2} + {b }^{2} \)
\( {17}^{2} = {8}^{2} + {b}^{2} \)
\( {b}^{2} = {17}^{2} - {8}^{2} \)
\(b = \sqrt{ {17}^{2} - {8}^{2} } = 15\)
now the area if the new rug is
length x width
\(15 \times 8 = 120 {feet}^{2} \)
$6 for a square foot
for 120 square feet
120 x 6 = $720
final Answer
the rug will cost $720
f(x)=∣x∣
g(x)=∣x−1∣+9
We can think of g as a translated (shifted) version of f
Complete the description of the transformation.
Answers
Answer:
Step-by-step explanation:
There are two transformations, one vertical, one horizontal.
The + 9 part outside the absolute value sign moves the graph up 9 units.
Replacing x with x - 1 moves the graph right 1 unit.
Comment: The horizontal shifts sometimes appear backwards: x - 1 looks like a shift to the left, but it's not.
Example: f(4) = |4| = 4. To get the same output (4) from g(x), you have to use a value for x that is 1 unit larger than 4. g(5) = |5 - 1| = 4.
A 33 degree angle is a(n)
Answers
Answer:
acute
Step-by-step explanation:
Answer:
acute angle
Step-by-step explanation:
89 degrees - = acute angle
90 = right angle
91+= obtuce
180= straight angle
How do you find the equation of a line with a slope passing through a point?
Answers
The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).
What is the simple definition of slope?
The slope of a line is a measure of its steepness. Mathematically, slope is calculated as "rise over run" (change in y divided by change in x).
Let the given point be (x1,y1).
slope be m.
we know that,
Line equation passing through point is:
y - y1 = m(x - x1)
where m = slope and (x1,y1) = given point.
Therefore The equation of a straight line passing through the given point and slope is y - y1 = m(x - x1).
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You borrow $7,000 from the Overton Credit Union to buy a used car. The credit union charges 6% interest, compounded monthly for 5 years. What’s the total amount you will have to pay back for this loan?
A= P(1+r/n) ^nt
A=Total amount after
P=Initial
r=percent rate as a decimal
n=number of times per year
t=time in years
O $7,431.74
O $9,441.95
O $9,367.58
O $9,380.67
Answers
P=7000
r=0.06
m=12
t=5
n=12(5)=60
Substitute into formula
Determine whether the quadrilateral is a parallelogram, answer Yes or No below
Answers
The quadrilateral is a parallelogram so it is Yes.
What are the properties of a parallelogram?If a quadrilateral has a pair of parallel opposite sides, it’s a special polygon called parallelogram .The properties of a parallelogram are as follows:
The opposite sides are parallel and equal
The opposite angles are equal
The consecutive or adjacent angles are supplementary
If any one of the angles is a right angle, then all the other angles will be at right angle.
The quadrilateral is a parallelogram since the adjacent interior angles 75° and 105° are supplementary meaning they sum up to 180°
In conclusion, yes, the figure is a parallelogram.
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Two sets of elementary schoolchildren were taught to read by using different methods, 50 by each method. At the conclusion of the instructional period, a reading test yielded the results y1 =74,y2 =71,s1 =9,ands2 =10.
(a) and (b). (question (a) means: give the two hypothesis, and calculate the
p-value).
Answers
The null hypothesis and the alternate hypothesis for the set of elementary school children is given by H₀ : μ₁ = 2 and H₁ : μ₂ ≠ 0 and the p-value is 0.136 .
Given x₁ = 74 , x₂ = 72
s₁ = 9 , s₂ = 11 (standard deviation)
n₁ = 50 ,n₂ = 50
Let μ₁ be the true mean for x₁
Let μ₂ be the true mean for x₂
null and alternate hypothesis:
H₀ : μ₁ - μ₂ = 0
H₁ : μ₁ - μ₂ ≠ 0
Test statistic ,
Z = (x₁ - x₂ - D₀ ) / (√σˣ₁² /n₁ + √σˣ₂² /n₂ )
Now we will substitute the values to calculate the the test statistic.
D₀ = μ₁ - μ₂
hence Z₀ = (74 - 72) / √(81/80+121/50)
or, Z₀ = 1.49256..
or, Z₀ ≈ 1.49
Now we will calculate the p-value using the z-score.
p-value:
= 2P(Z > Z₀)
= 2P(Z>1.49)
= 2 {1-0.93189}
= 0.1362...
≈ 0.136
Hence the p-value is 0.136 .
A hypothesis is presented as a theory to explain a certain phenomenon. A hypothesis cannot be said to as a scientific hypothesis if it cannot be tested using the scientific process.
History-based observations that can't currently be fully explained by existing bodies of knowledge are typically where science starts. A hypothesis is a theory put out to explain an observed occurrence or a proven assertion regarding the relationship between two or more variables in a scientific field.
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At which root does the graph of f x x 5 3 x 2 2 touch the x axis?
Answers
The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
Given that,
The function is f(x)= (x-5)³(x+2)²
We have to find at which root does the graph function touch the x-axis.
We know that,
What is a function?Mathematical calculus' core component is functions. The unique forms of relationships are the functions. When it comes to arithmetic, a function is represented as a rule that produces a different result for each input x.
Take the function
f(x) = (x-5)³(x+2)²
f(x) = 0 if a curve touches the x-axis.
⇒ (x - 5)³(x + 2)² = 0.
But if ab = 0
So, a=0 and b=0
⇒ (x - 5)³ = 0 and (x + 2)² = 0
⇒ (x - 5) = 0 and x + 2 = 0
⇒ x=5 and x=-2.
Therefore, The root of the graph of function f(x) = (x-5)³(x+2)² touch the x-axis at -2 and 5.
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Point G is the circumcenter of ABC . Point G is the point of concurrency of the perpendicular bisector. Find BG
Answers
Answer:
BG = 25
Step-by-step explanation:
The circumcentre is equally distant from the triangles 3 vertices, then
BG = CG = 25
Why are the solutions to the proportions StartFraction 40 over 8 EndFraction = StartFraction x over 10 EndFraction and StartFraction x over 40 EndFraction = StartFraction 10 over 8 EndFraction the same?
Answers
Answer:Because both result in the equation 8x = 400 which simplifies to 50.
Step-by-step explanation:
Answer:
50
Step-by-step explanation:
no need
Jonczyk Company is considering two different, mutually exclusive capital expenditure proposals. Project A will cost $454,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $68,000. Project B will cost $300,000, has an expected useful life of 13 years and a salvage value of zero, and is expected to increase net annual cash flows by $47,000. A discount rate of 9% is appropriate for both projects. Click here to view PV table.
Calculate the net present value and profitability index of each project. (If the net present value is negative, use either a negative sign preceding the number e.g. -45 or parentheses e.g. (45). Round present value answers to 0 decimal places, e.g. 125 and profitability index answers to 2 decimal places, e.g. 15.52. For calculation purposes, use 5 decimal places as displayed in the factor table provided, e.g. 1.25124.)
Answers
Net present value is a measure of profitability. The NPV of an investment is the net cash inflow received over the project's life, less the initial cash outflow, adjusted for the time value of money.
A higher NPV means the project is more lucrative. The profitability index measures the benefit-cost ratio of a project and is calculated by dividing the present value of future cash flows by the initial cash outflow. A profitability index greater than one indicates that the project will be profitable, whereas a profitability index less than one indicates that the project will not be profitable.
Calculation of Net Present Value (NPV) of Project AInitial Outlay = $454,000Net annual cash flows = $68,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project A = PV of net cash flows – Initial OutlayNPV of Project A = 68,000 × 7.63930 – 454,000NPV of Project A = $56,201.85Calculation of Profitability Index of Project AProfitability Index of Project A = Present value of future cash flows / Initial OutlayProfitability Index of Project A = 68,000 × 7.63930 / 454,000Profitability Index of Project A = 1.14
Calculation of Net Present Value (NPV) of Project BInitial Outlay = $300,000Net annual cash flows = $47,000Discount Rate = 9%Use the PV of an annuity of $1 table to determine the PV of net cash flows.Using the formula for NPV,NPV of Project B = PV of net cash flows – Initial OutlayNPV of Project B = 47,000 × 6.10338 – 300,000NPV of Project B = $37,100.86Calculation of Profitability Index of Project BProfitability Index of Project B = Present value of future cash flows / Initial OutlayProfitability Index of Project B = 47,000 × 6.10338 / 300,000Profitability Index of Project B = 0.96
The NPV and profitability index calculations show that project A is the better investment since it has a higher NPV and profitability index than project B.
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can someone simplify 8+3(x-4) for me. I need works, answer, and reasoning
Answers
8 + 3(x-4) = 8 + 3x -12
Then, combine like terms (things with x, things without an x, the 8 and -12)
=3x - 4
Answer:
3x+-4
Step-by-step explanation:
8+3(x-4)
8+3x-12
8-12+3x
-4+3x
can you mark me the brainllest please
At the football game, 3 hamburgers and 6 soft drinks cost $24, and 4 hamburgers and 3 soft drinks cost $22. Which two equations can be used to determine the price of a hamburger and the price of a soft drink?
Let x represent the cost of a hamburger and y represent the cost of a soft drink.
Answers
Answer: it would be A
Step-by-step explanation:
x the cost in dollars of a hamburger and y the cost in dollars of a soft drink.
The cost of 4 hamburguers can be represented with this expression:
4x
And the cost of 6 soft drinks can be represented with this expression:
6y
The total cost for 4 hamburgers and 6 soft drinks is $34, you can write the following equation
3x+6y=24
The following expression represents the the cost of 3 soft drinks:
3y
According to the information given in the exercise, the total cost for 4 hamburgers and 3 soft drinks is $25. Then, the equation that represents this is:
4x+3y=22
The entries in the index of the National Codes are listed under one main term. True or False?
Answers
it helps to organize and categorize large amounts of information, making it more accessible and manageable. This organizational structure helps users to locate specific codes and information efficiently. indexing system True.
The National Codes index lists entries under one main term, which is usually a broad topic or subject area. Under each main term, there may be several subentries that provide more specific details or categories related to the main term. This type of indexing system allows users to quickly and easily find information related to a specific topic, without having to search through an entire document or database. Additionally, it helps to organize and categorize large amounts of information, making it more accessible and manageable.
In the index of the National Codes, entries are listed under one main term to ensure easy navigation and understanding of the content. This organizational structure helps users to locate specific codes and information efficiently.
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The equation $f\left(x\right)=2x-9$ translated 6 units up is $g\left(x\right)=$ .
Answers
The equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3
The equation is
f(x) = 2x - 9
Then it is translated 6 units up
The translation is the process of moving the shape to left/right of up or down. During the translation process the shape and size of the graph will not change. In translation we are only changing the coordinates of the points of the shape.
Here it is translated 6 units up.
During the upward motion it will be positive
g(x) = f(x) + 6
Substitute the value of f(x)
g(x) = 2x-9 + 6
g(x) = 2x-3
Hence, the equation f(x) = 2x - 9 translated 6 units up, then the equation g(x) = 2x-3
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Job #1 pays $42.50 for 5 hours of work. Job #2 pays $136.50 for 13
hours of work.
What does Job #1 pay in dollars per hour (to the nearest cent)?
Answers
Answer:
$8.50
Step-by-step explanation:
42.50 divided by 5 = 8.50
Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian's first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Answers
Answer:
21.9 feet
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Vivian is at a fair in Coachella Valley, California. Much of the valley lies below sea level. Vivian has brought along an altimeter to measure her elevation at different places in the valley. Vivian’s first ride was on the Ferris wheel. When she sat on the wheel at its lowest point, her altimeter read -9.6 feet. When she reached the top of the wheel, her altimeter read 12.3 feet.
Is the change in Vivian's elevation from the bottom of the Ferris wheel to the top a positive number or a negative number? Why?
Given parameters
Altimeter of vivian at its lowest point = -9.6 feet
Altimeter of vivian at the top of the wheel = 12.3feet
Note that the sea level is at 0 feet.
change in Vivian's elevation from the bottom of the Ferris wheel to the top is expressed as:
= (12.3-0)+(0-(-9.6))
= 12.3+(0+9.6)
= 12.3+9.6
= 21.9 feet
From the gotten value, it can be seen that the change in Vivian's elevation from the bottom of the Ferris wheel to the top is a positive value.
The value is positive because vivian keeps moving to the top of the wheel (above the sea level). The values above the sea level is always positive.
Answer:Hide Sample Answer
The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.
Step-by-step explanation:Hide Sample Answer
The change in Vivian's elevation is a positive number because her elevation increased as she moved from the bottom of the Ferris wheel to the top.
Simplify the expression:
-3(3-4x) =
Answers
Answer:
- 9 + 12x
Step-by-step explanation:
- 3(3 - 4x) ← multiply each term in the parenthesis by - 3
= - 9 + 12x
Convert 1.19rads to degree
Answers
Answer:
68.2 degrees
Step-by-step explanation:
\(1.19\frac{180}{\pi }\)
\(68.2\) degrees
ASAP PLS! BRAINLIEST
Answers
Answer:
\(y=-\frac{1}{4}x+4\)
Step-by-step explanation:
So we pick one point from the graph
(0, 4)
\(y-y_{1}=m(x-x_{1} ) \\y-4=-\frac{1}{4}(x-0)\)
Answer:
\(y-4=-\frac{1}{4}(x)\)
Step-by-step explanation:
Point slope form = y − y1 = m(x − x1)
Our point is 0,4.
So the point slope is
\(y-4= (slope)(x)\)
The slope is -1/4.
so,
\(y-4=-\frac{1}{4}(x)\)
This is the answer.
Which observation could lead to the conclusion that an object is non-living?
a) it is composed of a cell, but does not have tissues
b it carries out synthesis of proteins
c it cannot perform metabolic processes
d it passes on hereditary information only through asexual reproduction
Answers
Answer:
C
Step-by-step explanation:
If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B?
Matrix Multiplication
Two matrices may be multiplied if and only if the first matrix has the same number of columns as there are rows in the second matrix. Suppose the first matrix has dimensions of a×b and the second matrix has dimensions of c×d, we can say that b=c and their product will have dimensions of a×d
Answers
Answer:
Matrix B is a 3 × 7 matrix.
Cyndi noticed that the temperature at 3:00 pm was 72 degrees and the temperature at 11:00 pm was 48 degrees after the cold front came through. What real number represents the average change in temperature per hour?
Answers
Answer:
It's 24.
Step-by-step explanation:
help please and thankyou.
Answers
Answer:
the answer is D 1
Step-by-step explanation:
it goes up one and over one.
if you need to know how to do these, count the distance between each point.
for examples, -1 is a point. if you go up 1 and over 1, there is another point. 0,1.
A water well drilling rig can dig -48 feet after one full day (24 hours) of continuous use. Assuming the rig drilled at a constant rate, what was the height of the drill after 15 hours?
Answers
we have the next information
48 ft in 24 hours
x ft in 15 hours
x is the height of the drill after 15 hours
x can be calculated if we multiply 15 by 48 and then we divide the result between 24
\(\begin{gathered} x=\frac{15\cdot48}{24} \\ \end{gathered}\)\(\begin{gathered} x=\frac{720}{24} \\ x=30 \end{gathered}\)the height that was drill after 15 hours was 30 ft
Question is above in the picture
Answers
B=23
Using Pythagorean theorem
A^2+B^2=C^2
7 square +23square =c square
49+529 =c square
578 =c square
C=root of 578
C=24.04 ~ 24