Answer:
10π cm
Step-by-step explanation:
We require to find the radius (r) of the circle
The area (A ) is calculated as
A = πr² = 25π ( divide both sides by π )
r² = 25 ( take the square root of both sides )
r = \(\sqrt{25}\) = 5
The circumference (C) is calculated as
C = 2πr = 2π × 5 = 10π cm
A diagram is shown where HG I WR, HR I MK, and
HR MK. Complete the proof using the choices
below. Not all will be used.
ghibnoq2sm
Alt. Exterior
Alt. Interior
и SAS
AAS
LHYR LKTM
1. HG II WK
2.
3. HR | MK
4.
11026921
woled esplorb ord pniau toong m
5. HR MK
6. AHYR AKTM
Statement
CorrespondingVX
ASA
LYRH LTMK
NOVIE
בה סוללד
01 SITSH
2
1. Given
2.
3. Given
4.
101191nI JIA
WXG
W
.beau sd lliw lis
M
101191 JIA
insmeist2
Reason
42
ARA KA
5. Given
X8 to dni 6,im orta 3 iniog antroworl
G
K
Right triangles only: HL, or Hypotenuse Leg. SSS, or Side Side Side; SAS, or Side Angle Side; ASA, or Angle Side Side; AAS, or Angle Angle Side.
What does SSS SAS ASA AAS HL mean?The triangles are congruent if their included sides are congruent and two of their angles match two of the other triangle's angles. applying labelsTriangle Congruence Requirements: SSS (Side-Side-Side) ASA (Angle-Side-Angle), AAS (Angle-Angle-Side), SAS (Side-Angle-Side), and RHS (Right angle-Hypotenuse-Side).The first such theorem is the side-angle-side (SAS) theorem, which states that two sides and an included angle of one triangle are congruent if they are equivalent to two sides and an included angle of another triangle.Right triangles only: HL, or Hypotenuse Leg. SSS, or Side Side Side; SAS, or Side Angle Side; ASA, or Angle Side Side; AAS, or Angle Angle Side.HG II WK
HR | MK
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Express: 50 minutes 18 seconds as percent of 2 hours.
Answer:
For me
Step-by-step explanation:
50 minutes to seconds=50×60=3000
18 minutes remains the same
3000+18=3018
3018/7200×100
301800/7200
41.917
Which angle bisector was constructed incorrectly? Explain the step that was completed incorrectly
The angle bisector that was constructed incorrectly is Example fiqure 2 , this was a result of not dividing the angle into equal parts.
What is a angle bisector?
An angle bisector can be described as a line which is used in dividing a a given angle usually into two equal degrees.
It should be noted that the the bisector in the second example was incorrectly constructed as a result of the bisector not dividing <ABC into two equal parts it doe not matter if it passes intersection of the arcs and point B.
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1. A lawn sprinkler sprays water 3 feet in every directions as it rotates. What is the area of the sprinkled lawn?
2. A storm is expected to hit 6 miles in every direction from a small town. What is the area that the storm will affect?
The following parts can be solved by the concept of Area.
1. The area of the sprinkled lawn is 9π square feet, where π is approximately 3.14.
2. The area that the storm will affect is 113.1 square miles, where the value of π is approximately 3.14.
1. To find the area of the sprinkled lawn, we need to find the area covered by the sprinkler in one rotation and then multiply it by the number of rotations. The sprinkler sprays water 3 feet in every direction, so it covers a circular area with a radius of 3 feet. The area of a circle with a radius of 3 feet is given by the formula A = πr^2, where r is the radius of the circle.
Therefore, the area covered by the sprinkler in one rotation is 9π square feet (A = π x 3^2 = 9π). If the sprinkler rotates n times, then the total area covered by the sprinkler is n times the area covered in one rotation.
2. To find the area that the storm will affect, we need to find the area of the circle with a radius of 6 miles. The area of a circle is given by the formula A = πr^2, where r is the radius of the circle. Therefore, the area that the storm will affect is 36π square miles (A = π x 6^2 = 36π). To get a numerical value, we can use the approximation of π as 3.14, which gives us an area of approximately 113.1 square miles (A = 3.14 x 36 = 113.1).
Thus, the storm will affect an area of approximately 113.1 square miles.
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a shopkeeper bought 1000 tumblers at rs. 8 each. 100 glass tumbler were broken and he sold the rest at rs. 10 each. find his gain oe loss percent
Answer:
12.5% profit
Step-by-step explanation:
he spents $8000 (1000×8)HE sells 900 of them for $10 making $9000, his profit is $1000 . profit divided by original price multiplied by 100 . . (1000/8000×100) Determine which points are a solution to the system of inequalities.
the answer choices are:
a. (0,0)
b. (4,1)
c. (3,-2)
d. (2,0)
e (4,-4)
f (1,3)
Answer:
I think it's e 4 -4
Step-by-step explanation:
hope this helps
The bar graph in the following graphic represents fictional net exports in billions of dollars for five countries. Net exports are obtained by subtracting total imports from total exports; a negative net export means the country imported more goods than it exported.
What is the sum of net exports for Germany and China ?
a.
-80 billion dollars
c.
90 billion dollars
b.
180 billion dollars
d.
150 billion dollars
Answer:
d.) 150 billion dollars
Step-by-step explanation:
As per the given bar graph, we can draw the following conclusions:
Net exports for United States = ~ -110 Billion Dollars (It means import of 110 Billion Dollars)
Net exports for Denmark = ~ -30 Billion Dollars (It means import of 30 Billion Dollars)
Net exports for China = ~ 115 Billion Dollars
Net exports for Germany = ~ 35 Billion Dollars
We have to find the sum of net exports of Germany and China:
\(\Rightarrow\) 35 + 115 = 150 Billion Dollars.
Hence, correct answer is d. 150 Billion Dollars.
Answer: d
Step-by-step explanation:
150 billion dollars
The question is in the image, so please help me. I don't understand it.
Answer
I think its 'cant be done'
Step-by-step explanation:
distance between (-3,4) and (-3,-5) in a cartesian plane
Answer: Distance = 10.83
Step-by-step explanation:
Distance = √((3-(-3))^2 + (4-(-5))^2)
Distance = √(6^2 + 9^2)
Distance = √117
Distance = 10.83
Ben made a sundial in his backyard by placing a stick with height 6 in. straight into the ground, and marking the hours in the grass. To test it, he checks the time each day when the sun makes an angle of 30° or 60° with the ground. Select all the possible lengths of the shadow when Ben checks the sundial.
A. 12 in.
B. 23√ in.
C. 8 in.
D. 63√ in.
E. 22√ in.
Answer:
B and D
Step-by-step explanation:
I need help on in the answer to this question
Notice that angle z and the angle with measure 70⁰ is a linear pair. Hence, it follows that they are supplementary (they'll sum up to 180⁰):
\(z+70^{\circ}=180^{\circ}\)Solve for z in the equation:
\(\begin{gathered} z=180^{\circ}-70^{\circ} \\ \Rightarrow z=110^{\circ} \end{gathered}\)Using the Angles formed by two intersecting chords theorem: If two chords intersect inside a circle, then the measure of the angle formed is one-half the sum of the measure of the arcs intercepted by the angle and its vertical angle , it follows that:
\(z=\frac{1}{2}(w+79^{\circ})\)Substitute z=110⁰ into the equation and solve for w:
\(\begin{gathered} 110^{\circ}=\frac{1}{2}(w+79^{\circ}) \\ \text{Cross multiply:} \\ \Rightarrow2\times110^{\circ}=w+79^{\circ} \\ \Rightarrow220^{\circ}=w+79^{\circ} \\ \Rightarrow w=220^{\circ}-79^{\circ} \\ \Rightarrow w=141^{\circ} \end{gathered}\)The value of w is 141.
Solve 5/7x=-25
The solution is x= ?
if the bacteria population is doubling every hour, can you estimate the bacteria population at the time of 10 hours?
Answer:
Bacterial population at the time of 10 hours = 1040000
Step-by-step explanation:
Let the function that defines the bacterial population after 'x' hours is,
p(x) = a(b)ˣ
Where a = Initial population
And 'x' = Duration or time
Since bacterial population is getting doubled every hour,
2a = a(b)¹
b = 2
Therefore, function will be,
p(x) = a(2)ˣ
From the graph attached,
Point (5, 32500) lies on the graph of the function.
32500 = a(2)⁵
a = \(\frac{32500}{32}=1015.625\)
Therefore, the function will be,
p(x) = 1015.625(2)ˣ
For x = 10 hours,
p(10) = 1015.625(2)¹⁰
= 1040000 bacteria
11. Zhan is collecting data on how many students own a reptile for a pet. He collects data from a random sample of students from all grade levels at his school. If there are 2,820 students in his school, estimate the number of students who own a reptile for a pet.
If there are 2,820 students in his school, then the number of students who own a reptile for a pet is 352.
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Let us consider that Zhan surveyed n students, and x of them own a reptile for a pet.
The following formula to estimate the total number of students who own a reptile for a pet:
Estimated number = (x/n) × total population
We are given the total population of the school, which is 2,820 students. Let's assume that Zhan surveyed 200 students, and 25 of them own a reptile for a pet.
Lets use the formula to estimate the total number of students who own a reptile for a pet as follows:
Estimated number = (25/200) × 2,820
Estimated number = 352.5
Therefore, we can estimate that 352 students in Zhan's school own a reptile for a pet based on the data from his random sample.
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exercises 1 - 6 refer to the diagram shown .
Using the diagram of the circle given above, the value of the parts of the circle is as follows:
1.) Minor arc = Arc AB
2.) Major arc = Arc ACB
3.) Semicircle = AC
4.) Two central angles = 40° and 320°
5.) Arc AB = < 180°
6.) Arc ACB = > 180°
What is a major and minor arc of a circle?The minor arc of a circle is defined as part of the circle that is less than 180° that connects two points on the circumference of a circle.
The major arc of a circle is defined as the part of the circle that is greater than 180° that connects two points on the circle of a circle.
A semi circle is defined as exactly half of a circle which has a total of 180°.
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Drop the answer love:)
Or.. i'll drop ur ip<3
mwa
First okay and second umm my what?! Lol
The answer is : - 112
We add 14 to both side
-16x - 14 = -126
+ 14 +14
-16x = - 112. <- that’s the answer
Then we divide both sides by 16
X = 7
Ta -Da!!
Also I’ll leave this.....
the population of a city is increasing at the rate of 50 0 per year. if the present population is 500,000 and the rate of increase is proportional to the number of people, what will the population be in 10 years')
815,000 in 10 years
To find the population of a city after a certain number of years, we can use the following formula:
Population after n years = Population after 0 years × (1 + growth rate)^n
In this case, the population at year 0 (current population) is 500,000, the growth rate is 50/1000 = 0.05 (because the rate is given as 50 per 1000 people), and n is the number of years (10 in this case). Substituting these values into the formula gives:
Population in 10 years = 500,000 × (1 + 0.05)^10 = 500,000 × 1.63 = 815,000
So, if the population of the city continues to grow at a rate of 50 people per 1000 people per year, it will be about 815,000 in 10 years.
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Which one of the following blood components would be most appropriate for a 9 year old girl who is suspected of having idopathic thrombocytopenic purpura (ITP), including a low platalet cound and bleeding gums
The most appropriate blood component for a 9-year-old girl suspected of having idiopathic thrombocytopenic purpura (ITP) would be platelets.
Idiopathic thrombocytopenic purpura (ITP) is a disorder that causes a low platelet count, leading to bleeding and bruising easily. Platelets are the component of blood responsible for clotting, which helps stop bleeding. In ITP, the body's immune system mistakenly attacks and destroys platelets, causing a decrease in their number. If a 9-year-old girl is suspected of having ITP and has bleeding gums, she would likely benefit from a transfusion of platelets. This is because the platelets can help stop the bleeding by forming clots.
Other blood components, such as red blood cells or plasma, would not address the underlying issue of a low platelet count. Platelets can be transfused through a process called a platelet transfusion, in which the donor platelets are separated from the blood and transfused into the recipient's bloodstream. In summary, platelets are the most appropriate blood component for a 9-year-old girl suspected of having ITP with bleeding gums, as they can help stop bleeding by forming clots.
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A theater is being designed to hold
700
700 people. The first two rows are shown. There are
20
20 seats per row in the Main Section and
4
4 seats per row in each Wing.
How many rows will they need to seat
700
700 ?
Answer:
well, if you renovate the building, you'll only need 1000 rows to seat all 700,700 people.
Step-by-step explanation:1st, youre going to need a good construction crew that is slightly compotent, then, you will need t demolosh said building, to make room for the other building. once the previous building is demolished, you can then start working with your construction team to build the new building. this building will have 1000 rows that each seat 701 people. once the building is constructed, you need some advertising for your new show, so put up billboards. once 700,700 tickets are bought, close the ticket window, and finish up with snack and drink sales at the front. wait twenty minutes for all the guests to find their seat, make a good introduction, and then signal the director to start the show.
For the following set of data, find the percentage of data within 2 population standard deviations of the mean, to the nearest percent
chart is in the photo
Percentage of data within 2 population standard deviations of the mean is 68%.
To calculate the percentage of data within two population standard deviations of the mean, we need to first find the mean and standard deviation of the data set.
The mean can be found by summing all the values and dividing by the total number of values:
Mean = (20*2 + 22*8 + 28*9 + 34*13 + 38*16 + 39*11 + 41*7 + 48*0)/(2+8+9+13+16+11+7) = 32.68
To calculate standard deviation, we need to calculate the variance first. Variance is the average of the squared differences from the mean.
Variance = [(20-32.68)^2*2 + (22-32.68)^2*8 + (28-32.68)^2*9 + (34-32.68)^2*13 + (38-32.68)^2*16 + (39-32.68)^2*11 + (41-32.68)^2*7]/(2+8+9+13+16+11+7-1) = 139.98
Standard Deviation = sqrt(139.98) = 11.83
Now we can calculate the range within two population standard deviations of the mean. Two population standard deviations of the mean can be found by multiplying the standard deviation by 2.
Range = 2*11.83 = 23.66
The minimum value within two population standard deviations of the mean can be found by subtracting the range from the mean and the maximum value can be found by adding the range to the mean:
Minimum Value = 32.68 - 23.66 = 9.02 Maximum Value = 32.68 + 23.66 = 56.34
Now we can count the number of data points within this range, which are 45 out of 66 data points. To find the percentage, we divide 45 by 66 and multiply by 100:
Percentage of data within 2 population standard deviations of the mean = (45/66)*100 = 68% (rounded to the nearest percent).
Therefore, approximately 68% of the data falls within two population standard deviations of the mean.
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Point T and point U are shown below.
What are the coordinates of the midpoint of
point T and point U?
Y
U (4, 12)
T(4,2)
Can someone help me find the scale factor and the missing sides please?
Answer:
x = 6, y = 45
Step-by-step explanation:
\(scale \: factor = \frac{13}{32.5} \\ = \frac{2}{5} \\ \\ \frac{x}{15} = \frac{18}{y} = \frac{2}{5} \\ \\ \implies \frac{x}{15} = \frac{2}{5} \\ \\ x = \frac{2 \times 15}{5} \\ \\ x = 6 \\ \\ \frac{18}{y} = \frac{2}{5} \\ \\ y = \frac{5 \times 18}{2} \\ \\ y = 45\)
Suppose you estimate the consumption function of Y; = α₁ + α₂X₁ +e; and the savings function of Z; =ᵝ₁ + ᵝ₂Xi+u₁, where Y denotes for consumption, Z denotes for savings, X denotes for income, a's and ß's are parameters and e and u are the random error terms. Furthermore, X = Y+Z, that is, income is equal to consumption plus savings, and variables are all in numerical terms.
(i) What is the relationship, if any, between the OLS estimators of 2 and 2? Show your calculations. [4]
(ii) Will the residual (error) sum of squares be the same for the two models of Y₁ = α₁ + a₂X₁ +e; and Z₁ =ᵝ₁ + ᵝ₂X;+u;? Explain your answer. [4]
(iii) Can you compare the R² terms of the two models? Explain your answer. [3]
(i) The relationship between the OLS estimators of α₂ and ᵝ₂ can be determined by considering the relationship between the consumption function and the savings function. Since X = Y + Z, we can substitute this into the consumption function equation to obtain Y = α₁ + α₂(Y + Z) + e. Simplifying the equation, we get Y = (α₁/(1 - α₂)) + (α₂/(1 - α₂))Z + (e/(1 - α₂)). Comparing this equation with the savings function Z₁ = ᵝ₁ + ᵝ₂X + u₁, we can see that the OLS estimator of ᵝ₂ is related to the OLS estimator of α₂ as follows: ᵝ₂ = α₂/(1 - α₂).
(ii) The residual sum of squares (RSS) will not be the same for the two models of Y₁ = α₁ + α₂X₁ + e and Z₁ = ᵝ₁ + ᵝ₂X₁ + u₁. This is because the error terms e and u₁ are different for the two models. The RSS is calculated as the sum of squared differences between the observed values and the predicted values. Since the error terms e and u₁ are different, the predicted values and the residuals will also be different, resulting in different RSS values for the two models.
(iii) The R² terms of the two models cannot be directly compared. R² is a measure of the proportion of the total variation in the dependent variable that is explained by the independent variables. Since the consumption function and the savings function have different dependent variables (Y and Z, respectively), the R² values calculated for each model represent the goodness of fit for their respective dependent variables. Therefore, the R² terms of the two models cannot be compared directly.
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HELP PLSS im haveing so much trouble
Answer:
44 | B
Step-by-step explanation:
16 + 20 + 6 + 2 = 44
The null and allemative typoheses are given. Determine whether the tiypothes is test is left-taled, right-taled, of tao-talled. What parameter is being testeo? H 0
=e=105
H 1
=0+105
is the hypothesia test lef-taled, right-taled, of tao-talod? Roght-taied lest Two-aled tent Lettaled test What paraneter is being lesied? Popitation standerd devabon Population rean Popuiason proportion
The hypothesis test is right-tailed, and the parameter being tested is the population mean.
In hypothesis testing, the null hypothesis (H₀) represents the claim or assumption to be tested, while the alternative hypothesis (H₁) represents the alternative claim. In this case, the null hypothesis is stated as H₀: μ = 105, where μ represents the population mean.
To determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, we look at the alternative hypothesis (H₁). If H₁: μ > 105, it indicates a right-tailed test, meaning we are testing whether the population mean is greater than 105.
On the other hand, if H₁: μ < 105, it would be a left-tailed test, testing whether the population mean is less than 105. A two-tailed test, H₁: μ ≠ 105, would be used when we want to test whether the population mean is either significantly greater or significantly less than 105.
In this case, the alternative hypothesis is stated as H₁: μ ≠ 105, which means we are conducting a two-tailed test. However, the question asks specifically whether it is left-tailed, right-tailed, or two-tailed. Since the alternative hypothesis is not strictly greater than or strictly less than, we can consider it as a right-tailed test. Therefore, the hypothesis test is right-tailed.
Furthermore, the parameter being tested in this hypothesis test is the population mean (μ). The test aims to determine whether the population mean is equal to or significantly different from 105.
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Find The Total Differentials Of The Following Utility Functions. A. U(X,Y)=Xαyβ B. U(X,Y)=X2+Y3+Xy
A. The total differential of the utility function U(X,Y) = X^αY^β is dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.
B. The total differential of the utility function U(X, Y) = X^2 + Y^3 + XY is dU = (2X + Y) dX + (3Y^2 + X) dY.
A. The total differential of a function represents the small change in the function caused by infinitesimally small changes in its variables. In this case, we are given the utility function U(X, Y) = X^αY^β, where α and β are constants.
To find the total differential, we differentiate the utility function partially with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.
For the partial derivative with respect to X, we treat Y as a constant and differentiate X^α with respect to X, which gives αX^(α-1). We then multiply it by the differential dX.
Similarly, for the partial derivative with respect to Y, we treat X as a constant and differentiate Y^β with respect to Y, resulting in βY^(β-1). We then multiply it by the differential dY.
Adding these two terms together, we obtain the total differential of the utility function:
dU = αX^(α-1)Y^β dX + βX^αY^(β-1) dY.
This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).
B. To find the total differential of the utility function U(X, Y) = X^2 + Y^3 + XY, we differentiate each term of the function with respect to X and Y, and multiply the derivatives by the differentials dX and dY, respectively.
For the first term, X^2, we differentiate it with respect to X, resulting in 2X, which is then multiplied by dX. For the second term, Y^3, we differentiate it with respect to Y, resulting in 3Y^2, which is multiplied by dY. Finally, for the third term, XY, we differentiate it with respect to X and Y separately, resulting in X (multiplied by dY) and Y (multiplied by dX).
Adding these three terms together, we obtain the total differential of the utility function:
dU = (2X + Y) dX + (3Y^2 + X) dY.
This expression represents how a small change in X (dX) and a small change in Y (dY) affect the utility U(X, Y).
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Compare million, billion, and trillion. What is the largest number among them? What is the smallest number among them?
Question: x/5-g=a for x
Hope this helps you. I already did one like that
What is the
value of the question. ?
Answer:
Step-by-step explanation:
Divide the numbers first because that's the easy part and we've been dividing since like 5th grade.
1.6/.2 = 8. Now for the exponents.
When you divide like bases, you subtract the exponents. Our bases are both 10's, so they are like. Subtracting the exponents gives us 10³. So the answer is 8 × 10³, choice B.
Solve
7 + X = 2x-5
3
Answer:
the exact form is 22/5
decimal form is 4.4
mixed number form is 4 2/5
Step-by-step explanation
isolate the variable by dividing each side by factors that don't contain the variable