Answer: The area is going to be 0.8
Step-by-step explanation: The diameter is 1
You need the radius of the circle which is half the diameter. So the Radius(R) is 0.5.
After you find the radius of the circle to find the area of the circle you use the formula pie (R)^2. You are using 3.14
3.14(0.5)^2= 0.785
you then want to round your answer to the nearest tenth so the 8 turns the 7 into an 8.
So, the Area is 0.785 but after rounding it is 0.8.
Hope that helped :)
What is the equidistant Theorem?
The Equidistant Theorem states that the distance between two points on a line is equal to the sum of the distances from each point to a third point. This theorem is often used to prove the existence of certain geometric shapes, such as triangles and circles.
What is the equidistant Theorem?The Equidistant Theorem is a useful tool for proving the existence of certain geometric shapes. By measuring the distance between two points and then measuring the distance from each point to a third point, the distance between the two points will be equal to the sum of the distances of the two points to the third point.
This theorem is helpful for constructing triangles and circles, as it allows us to quickly and accurately identify the necessary distances between the points. This theorem is also useful for finding the center of a circle, as the center of the circle is always equidistant from its circumference. As a result, the Equidistant Theorem is a fundamental theorem in geometry that is used to prove the existence of certain geometric shapes.
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which of the following equations could be the result of using substitution to solve the system
Therefore the solution of the equations could be the result of using substitution is 2[tex]y^{2}[/tex]-6 -y=0
What is equation?In English, an equation is defined as a properly written formula that consists of two expressions joined by an equals sign, while cognates of the word in other languages may have slightly different meanings. For instance, in French, the word "équation" means "thing with one or more variables."
Given two equations are
x=[tex]y^{2}[/tex]-1 and 2x-y=4
We must select an equation from the list of possibilities that may be obtained by utilizing substitution to resolve the problem.
We substitute x in terms of y because the supplied equation is in terms of y.
From 2x-y=4
x=4+y/2
Substitute x=4+y/2 in other equation
We get,
=> x=[tex]y^{2}[/tex]-1
=> 4+y/2 =[tex]y^{2}[/tex]-1
=>4+y=2[tex]y^{2}[/tex]-2
=>2[tex]y^{2}[/tex]-6 -y=0
Therefore the solution of the equations could be the result of using substitution is 2[tex]y^{2}[/tex]-6 -y=0
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The cost of rent in a instrument is 65$ for the first month, it cost $30 for each additional month x that the instrument is rented which expression
Represents the total cost of renting an instrument
Answer:
Step-by-step explanation:
it is C because 65 is a one Time thing and 30x means every month u rent it times the money.
The population of bears on a nature preserve was 95 last year.This year , the population increased by 20% . what is the new bear population on the preserve
Answer:
114
Step-by-step explanation:
120% of 95 = 1.2 × 95 = 114
Jina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $91
and allows unlimited mileage.
Company B has an initial fee of $55
and charges an additional $0.80
for every mile driven. For what mileages will Company A charge less than Company B?
Use m
for the number of miles driven, and solve your inequality for m
Hence for miles greater than 45, the Company A will charge less than Company B.
Given:
Jina is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $91 and allows unlimited mileage.Company B has an initial fee of $55 and charges an additional $0.80 for every mile driven.we are asked to find for what mileages will Company A charge less than Company B = ?
from the question we frame the inequality as:
⇒ 91< 55+0.80m
⇒ 36<0.80m
⇒ 45<m
or
m>45
Check answer
55+45(0.8)=91 check
Hence for miles greater than 45, the Company A will charge less than Company B.
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Which of the following is a rational number ?
(Option A) 1/2 - This is a rational number because it is a fraction with both numerator and denominator being integers.
What is a rational number?A rational number is any number that can be written as a fraction of two integers (where the denominator is not equal to zero). Examples of rational numbers include:
Integers (e.g. 5)Fractions (e.g. 1/2), Recurring decimals (e.g. 0.3333)A rational number can be represented in many different forms. It can be written as a fraction, with both the numerator and denominator being integers, or as a decimal, with the decimal part either terminating or repeating. A rational number can also be written as a mixed number, which is a combination of an integer and a fraction.
Since the question is not complete, here is the full task:Which of the following is a rational number?
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What is the image point of (-1, -3) after the transformation D2 0 T-4,-5?
The image of the point after the transformation D₂,₀ T₋₄,₋₅ is (-6, -15)
What is a dilation?Dilation involves enlarging or reducing the side length of a shape to create another shape by a constant scale factor, where the scale factor does not equal one.
How to determine the image of the point?The coordinates of the point are given as
(-1, -3)
The transformation is given as D2 0 T-4,-5
This transformation, when properly expressed is
D₂,₀ T₋₄,₋₅
This represents
Dilation by a scale factor of 2 across the origin4 units left translation and 4 units down translationAs mentioned above,
D₂,₀ T₋₄,₋₅
Mathematically, we have
(x, y) ⇒ (2x - 4, 2y - 5)
Substitute (-1, -3) in (x, y) ⇒ (2x - 4, 2y - 5)
So, we have
(x, y) ⇒ (2(-1) - 4, 2(-5) - 5)
Evaluate
(x, y) ⇒ (-6, -15)
Hence, the coordinates of the image are (-6, -15)
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Which of the following is the absolute value parent function?
Answer:
The absolute value parent function is represented by the function F(x) = |x|. This function takes any real number as input and returns the absolute value of that number as output. For example, F(5) = |5| = 5, and F(-3) = |-3| = 3. The other functions you have listed are not absolute value functions.
Step-by-step explanation:
Consider the solid that lies above the square R=[0,2]X[0,2] and below the elliptic paraboloid z=81-x^2-y^2.a.) estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the lower left hand corners.b.) estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners.c.) what is the average of the two answers from a and b.d.) using iterated intergrals compute the exact value of the volume.
Volume of the solid (when squares divided into 4 equal parts in the lower left hand corners) = 318 cubic units.
Step-by-step explanation:
Paraboloid z=81-x2 -y2
The lower left hand corners of the squares are(0,0)(1,0)(0,1) and (1,1).
Then the volume can be estimated as,
Volume ≈ΔA [f(0,0)+f(1,0)+f(0,1)+f(1,1)]
= 1[81+79+80+78]=318 cubic units.
b.) estimate the volume by dividing R into 4 equal squares and choosing the sample points to lie in the upper right hand corners.
Volume of the solid (when squares divided into 4 equal parts in the upper right hand corners) = 294 cubic units.
Paraboloid z=81-x2 -y2
The upper right hand corners of the squares are(1,1)(2,1)(1,2) and (2,2).
Then the volume can be estimated as,
Volume ≈ΔA [f(1,1)+f(2,1)+f(1,2)+f(2,2)]
= 1(78+69+75+72)=294 cubic units
c.) what is the average of the two answers from a and b
Average of part a and b answer = (318+294)/2 = 712/2=306 cubic units
d.) using iterated integrals compute the exact value of the volume.
0202(81-x2 -y2) dy dx = 02[81y-x2y-⅓ y3]02 dx
= 02[162-2x2-8/3] dx
= [162x-2x3/3-8/3 x]20
=644-16/3-16/3
= 644 cubic units.
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What’s the value of y 3(13/2)+2y=9
Answer:
3(13/2)+2y=9 the answer is y=-21/4
Which property of equality justifies the statement if x - 2 = 9, then x = 11
The equality property that is used to prove the statement is the addition property of the equality.
Which property of equality justifies the statement?Let's start with the general equation
A = B
That we assume is a true equation.
There is a property called the addition property of the equality, it says that we can add the same number in both sides of the equation.
Then if we add a number C in both sides, we will get:
A + C= B + C
And that equation is still true.
Ok, let's go to our equation:
x - 2 = 9
We can add the same number in both sides which is 2, then we get:
x - 2 + 2 = 9 + 2
x = 11
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Researchers measured the number of neurons in the CA1 region of the hippocampus in the brains of eight persons who had died of causes unrelated to brain function. They found that these data were negatively correlated with age. The sample value of r was -0.63
(a) Consider testing whether the population correlation is zero. State the null and alternative hypotheses in symbols.
(b) How many degrees of freedom are there for the test in part (a)?
(c) Compute the value of the test statistic.
(d) The P -value for the test is 0.094 . If ,a = 0.10 what is your conclusion regarding the null hypothesis?
Statement on a population parameter that constitutes a statistical hypothesis. There's a chance it's true or not.
What does the term "alternative hypothesis" mean?If the researchers predict a difference (or an impact) between two or more variables, this suggests that the observed pattern of the data is not the product of chance.
An equality declaration, such as =,, or, is present in a null hypothesis, which is a statistical hypothesis. A counterargument to the null hypothesis is an alternate hypothesis. The likelihood of rejecting the null hypothesis when it is truly true is known as the level of significance. Error Type I is another name for it.
Determine the P-value for a Hypothesis Test
Find the P-value by choosing one of the following options: For a left-tailed test, P= (Area in left tail); For a right-tailed test, P= (Area in right tail); For a two-tailed test, P = 2. ( Area in tail of standardized test statistic)
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division- answer in gallons and quarts. no fraction or decimals.
3/10gallons 11 quarts
1 gal =4 quarts
Answer:
Step-by-step explanation:
To solve this problem, we need to divide 3/10 gallons by 1 gallon, which is equal to 4 quarts.
First, let's convert the fraction 3/10 to a decimal by dividing the numerator by the denominator: 3 / 10 = 0.3
Then, we can divide 0.3 gallons by 1 gallon to get the equivalent number of gallons in quarts: 0.3 gallons / 1 gallon = 0.75 quarts
Since 1 quart is equal to 0.25 gallons, 0.75 quarts is equivalent to 3/4 of a gallon.
Finally, we can add the number of quarts given in the problem (11 quarts) to the number of quarts equivalent to the number of gallons (3/4 of a gallon, or 3 quarts). This gives us a total of 14 quarts, which is equivalent to 3 and 1/2 gallons.
Therefore, the final answer is 3 gallons and 11 quarts.
What is the domain of the function graphed?
A. {x:x > -4}
B. {x:x < -4}
C. {x:x ≥ -4}
D. all real numbers
(If you have the time, please give an explanation because I completely forgot how to solve these problems)
The correct option is D .
This is a parabola with domain all real numbers D .
Current Attempt in Progress For a process in control, we expect % of the points on a process control chart to fall within the UCL and the LCL e Textbook and Media 0.27 95 Save for Later Attempts: 0 of 3 used Subm 99.73 100
The correct answer is (B) 99.73%..
For a process in control, we expect 99.73% of the points on a process control chart to fall within the upper control limit (UCL) and the lower control limit (LCL).
A process control chart is a tool used in statistics and quality control to monitor and analyze a process over time. It consists of a line graph that plots the measured values of a process variable, such as the temperature or weight of a product, over time. The UCL and LCL are horizontal lines that are drawn on the graph at a predetermined distance above and below the average value of the process variable.
The expected percentage of points within the UCL and LCL is determined by the chosen level of statistical significance and the distribution of the process variable. In this case, the expected percentage of points within the UCL and LCL is 99.73%.
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Complete Question:
For process in control, we expect Pfo of the points on process control chart to fall within the UCL and the LCL:
A)0.27
B)99.73
C)100
The students calculate a chi-squared value of 92.86 and compare it with a critical value of 7.82. Which of the following best completes the chi-square good The null hypothesis cannot be rejected, and the students should conclude that the data fit a model of independent assortment. The null hypothesis cannot be rejected, and the students should conclude that the data may have resulted from genetic linkage. The null hypothesis can be rejected, and the students should conclude that the data fit a model of independent assortment The null hypothesis can be rejected, and the students should conclude that the data may have resulted from genetic linkage.
The students should draw the conclusion that the data might have been caused by the genetic connection if the null hypothesis is rejected.
Given information;
The students determine a crucial value of 7.82 and compare it to a chi-squared value of 92.86.
Which of the following results in the chi-square goodness-of-fit test being most complete?
The null hypothesis can be rejected, and the students should conclude that the data may have resulted from the genetic linkage.
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TRUE/FALSE. albert deposits $3250 in an account that earns 4.3% interest compounded quarterly. this function models the amount in the account after t years. a =
The given function models the amount in the account after t years is true.
What is compounded quarterly?
The process of calculating the interest earned quarterly on a fixed deposit or investment, computed based on the principal amount plus the interest earned for previous periods, is known as quarterly compounding.
Given:
Albert deposits $3250 in an account that earns 4.3% interest compounded quarterly.
P = $3250
r = 4.3% = 0.043
n = 4
t = t years
So, the function models the amount in the account after t years is,
[tex]A = P(1+\frac{r}{n})^n^t\\ A = 3250(1+\frac{0.043}{4})^4^t[/tex]
This equation is same as the given equation.
Hence, the given function models the amount in the account after t years is true.
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Complete question:
Complete question is attached below.
What is the vertex of the graph of g(x)=|x-8|+6
The vertex of the function g(x) = |x - 8| + 6 is (8, 6)
How to determine the vertex of the function?From the question, we have the following parameters that can be used in our computation:
g(x) = |x - 8| + 6
The above equation is an absolute value function
An absolute value function represented as
y = a|x - h| + k
Where
Vertex = (h, k)
This means that the vertex is
Vertex = (8, 6)
Remove the x value
y = 6
Because the leading coefficient is positive, then the vertex is a minimum
i.e.
y ≥ 6
So, the range is y ≥ 6
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prove that the maximum spanning tree of g contains the widest paths between every pair of vertices.
Proving that the maximum spanning tree of g contains the widest paths between every pair of vertices .
Suppose now we were to add an edge from the widest path into the spanning tree in a place that it won't cause a cycle.
so every path between our two nodes must contain some edge between two previously unconnected nodes.
The weight of the edge we removed was equal to the width of the original path, and because the path was that every edge in the new path must have had more weight than that edge.
This means that our new spanning tree must have strictly more total weight than the original, which contradicts the definition of the original 'maximum' spanning tree.
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Ticket sales for Six Flags White Water totaled $94,520 this summer. Tickets for the water park cost $17 each. How many tickets were sold?
The number of tickets that will be sold is 5560.
What is division?
A division is one of the fundamental mathematical operations that divides a larger number into smaller groups with the same number of components. How many total groups will be established, for instance, if 20 students need to be separated into groups of five for a sporting event? The division operation makes it simple to tackle such issues. Divide 20 by 5 in this case. 20 x 5 = 4 will be the outcome. There will therefore be 4 groups with 5 students each. By multiplying 4 by 5 and receiving the result 20, you may confirm this value.
Ticket sales for Six Flags White Water totaled $94,520 this summer.
Tickets for the water park cost $17 each.
The number of tickets sold will be = 94520/17 = 5560.
Hence, the number of tickets that will be sold is 5560.
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Which of the following is the best estimate of
A.7 1/2
B. 8
C.8 1/2
D. 9
Answer:
b
Step-by-step explanation:
did the math?
8 is the best estimate of [tex]8\frac{1}{8}[/tex].
In simple words, the ratio of the two numbers is called a fraction.
Mixed fraction is a form of a fraction which is defined as the ones having a fraction and a whole number.
For example, 2 (1/3) is a mixed fraction, where 2 is the quotient, 1 is the remainder. So, a mixed fraction is a combination of a whole number and a proper fraction.
Step 1: Multiply the denominator with the whole number,
i.e. Multiply 8 with 8 in the given example, 8(1/8).
8× 8 =64
Step 2: Add the numerator of the Fraction to the result in step 1. i.e., Add 1+ 64=65.
Step 3: Keep the Denominator same i.e. 8.
Step 4: The Improper fraction obtained is: 65/8.
Given number can be denoted as 8+[tex]\frac{1}{8}[/tex] = 8+0.15 = 8.15
So the number is nearest to 8 itself.
i.e. 8 is the best estimate.
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According to Ritchie et al., a typology is a set of ordered categories occurring at discrete positions along a continuum. True False
According to Ritchie et al., a typology is a set of ordered categories occurring at discrete positions along a continuum is a True statement. often helps researchers gain insight into the underlying dynamics of the items being studied.
A typology is an organized classification of distinct types of entities, such as people, places, or objects. It is used to create order and structure out of seemingly unrelated items and to identify relationships between them. According to Ritchie et al. (2015), a typology is a set of ordered categories occurring at discrete positions along a continuum. This allows for a more comprehensive understanding of the items being classified, as it allows for further comparison and contrast between the categories. This type of ordered structure often helps researchers gain insight into the underlying dynamics of the items being studied.
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The triangle ABC is an isosceles triangle. What are each of the congruent base angles if the vertex angle measures 40 degrees?
Therefore the solution to the given problem is the each of the congruent base angles is 70°
What is angle?In Euclidean geometry, an angle is the figure generated by two rays, called the sides of the angle, sharing a common termination, called the vertex of the angle. Angles created by two rays are in the plane where the rays are located. The intersection of two planes also forms angles. We refer to these as dihedral angles.
Here,
As the triangle is an isosceles triangle therefore it will have 2 same angles
thus,
Sum of the 3 angles of a triangle=180°
Vertex angle =40°
Sum of two congruent angles=180°–40°=140°
Measure of each base angle=70°
Therefore the each of the congruent base angles is 70°
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PLEASE HELP ASAP!!! PLEASE NEED!
There are total percentage of 56% of red gumballs and 44% of blue gumballs in 4000 gumball machine.
Define percentage.Percentage is a relative figure used to denote hundredths of any quantity. Since one percent (symbolized as 1%) is equal to one hundredth of something, 100 percent stands for everything, and 200 percent refers to twice the amount specified.
Given,
Total gumballs in the machine = 4000
Red gumballs in the machine = 2240
Blue gumballs in the machine = 1760
Percentage of each gumballs,
Percentage of red gumballs,
Value/Total × 100%
2240/4000 × 100
0.56 × 100
56%
Percentage of blue gumballs,
1760/4000 × 100%
0.44 × 100%
44%
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Question 16 An individual works at a pet store. There are 15 dogs up for adoption. At the end of the day, only 4 were not adopted. What is the percentage of dogs that were adopted? WAKALPOPÕE 20
Answer:
73.3%
Step-by-step explanation:
You want to know the percentage adopted when 4 of 15 were not adopted.
PercentageThe percentage can be found by multiplying the fraction by 100%. The fraction of dogs adopted was 11 out of 15, or 11/15. The percentage is ...
11/15 × 100% ≈ 73.3%
About 73.3% of the dogs were adopted.
calculate the (estimated) standard error for the sample mean in this question. round to 3 decimal places (example: 0.123)
Given the following sample of three data points: 3, 6, 9, calculate the (estimated) standard error for the sample mean. Round to 3 decimal places.
s = √((3 - 8)² + (6 - 8)² + (9 - 8)²) / (3 - 1) = 4
2. Calculate the standard error of the sample mean:
SE = s / √n = 4 / √3 = 2.45
3. Round the standard error to three decimal places:
SE = 0.567
The standard error of the sample mean can be calculated by first finding the standard deviation of the sample (s). This is done by taking the sum of the squared differences between each data point and the mean, divided by the number of data points minus one. In this case, the standard deviation is 4. The standard error is then calculated by dividing the standard deviation by the square root of the number of data points, which is 3. The result is 2.45, which can be rounded to 0.567.
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create the line chart using just the data from the order date and total sale columns. be sure to include the header row when selecting the data for the chart.
The line chart can be created using insert tab and then click line symbol in charts group.
How to make line chart in excel?Line chart is a type of chart with line visualization to show information of changing values over time.
Insert tab is tab in excel to insert object, symbol, chart, etc.
To create line chart,
Select the entire columns of order date and total sale (include the header row, ordinary in first row).Click insert tab, then see chart group, next click line symbol.Click one of type of line chart you want.Then, the line chart will appear on sheet with header row.I'm attaching a image for microsoft excel 365 version, your excel version may be different, but the line chart is still in the insert tab.
Thus, to create the line chart use insert tab and in chart group click line symbol.
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What is the circumference of a circle with radius 17 mm?
The circumference of the circle with radius 17 millimeter is 106.76 millimeter
The radius of the circle = 17 millimeter
The circumference of the circle is defined as the linear distance around the circle
The radius of the circle is the distance between the center of the circle to the any point of the circumference.
The circumference of the circle = 2 × π × r
Where r is the radius of the circle
The value of the π = 3.14
Substitute the values in the equation
The circumference of the circle = 2 × 3.14 × 17
Multiply the numbers
= 106.76 millimeter
Therefore, the circumference of the circle is 106.76 millimeter
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Find the equation of the quadratic function f whose graph is shown below.
(1,4)
(2,2)
The equation of the parabola that passes through the points (1,4) and (2,2) would be y = (-4)(x - 1.5)² + 3.
What is a parabola?
A parabola is defined as a collection of points such that the distance to a fixed point (the focus) and a fixed straight line (the directrix) are equal. But it's probably easier to remember it as the U-shaped curved line created when a quadratic is graphed.
To find the equation of the parabola that passes through the points (1,4) and (2,2), we can use the formula for the general form of the equation of a parabola:
y = a(x - h)² + k
where (h,k) is the vertex of the parabola, and a is a nonzero constant that determines the direction and shape of the parabola.
To find the values of a, h, and k that will give us the equation of the parabola that passes through the points (1,4) and (2,2), we can use the following steps:
Find the coordinates of the vertex of the parabola. The vertex of the parabola is the point where the parabola changes direction. In this case, the parabola changes direction at the midpoint of the two given points, which is the point (1.5,3).
Substitute the coordinates of the vertex into the formula for the general form of the equation of a parabola: y = a(x - h)² + k.
Substitute the coordinates of one of the given points into the equation to find the value of a. For example, if we substitute the coordinates of the point (1,4) into the equation, we get:
4 = a(1 - 1.5)² + 3
4 - 3 = a(-0.5)²
1 = a(-0.25)
a = -4
Substitute the values of a, h, and k into the formula for the general form of the equation of a parabola to find the equation of the parabola that passes through the points (1,4) and (2,2):
y = (-4)(x - 1.5)² + 3
Hence, the equation of the parabola that passes through the points (1,4) and (2,2) would be y = (-4)(x - 1.5)² + 3.
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Al Roy bought five bonds of Jort Co. 11 3/4 at 93.25 and four bonds of Inst. System 12x08 for 81.125. If the commission on the bonds is $2.50 per bond, the total cost of all the purchases is:
Multiple Choice
$4,662.50
$3,425.00
$7,930.00
$7,907.50
The required total cost of all the purchases is $7,930.00. Option C is correct.
Given that,
Al Roy bought five bonds of Jort Co. 11 3/4 at 93.25% and four bonds of Inst. System 12x08 for 81.125%, the commission on the bonds is $2.50 per bond.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Total bond = 4 + 5 = 9
Face value of a bond = $1000
Total cost = $1000 × 0.9325 × 5 + $1000 × 0.81125 × 4 + 2.50 × 9
Total cost = $7,930.00
Thus, The required total cost of all the purchases is $7,930.00. Option C is correct.
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