Answer:
B. 171.74 cm²
Step-by-step explanation:
Area of a sector = \( \frac{\theta}{360} \times \pi r^2 \).
Where,
\( \theta = 260 \)
radius (r) = 8.7 cm
Plug in the values into the formula
Area of sector = \( \frac{260}{360} \times \pi 8.7^2 \)
Area of sector = \( \frac{260 \times \pi 75.69}{360} \)
Area of sector = 171.74 cm² (approximated)
Answer:
B. 171.69 cm²
Step-by-step explanation:
a survey among tenants of shared apartments asked each tenant what percentage of the cleaning around the apartment he or she does. the survey found that aggregating the percentages for each apartment produces an average of much more than 100%. this result may be due to what bias?
The result of an average of more than 100% in a survey of tenants on cleaning chores in shared apartments is likely due to social desirability bias.
The average tenant response of more than 100% in a study about cleaning duties in shared apartments is probably the product of social desirability bias. Social desirability bias occurs when respondents give answers that they think are socially acceptable or desirable, rather than their true opinions or behavior.
In this case, tenants may have overstated their contribution to cleaning the apartment, in order to appear more helpful or responsible, leading to an average percentage higher than 100%.
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Suppose that a rectangle has a perimeter of 26 meters. Express the area A(x) of the rectangle in terms of the length x of one of its sides. A(x)
The area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13-x).
What is rectangle?A rectangle is really a closed two-dimensional geometry with four sides, four corners, and four right angles (90°). A rectangle's opposite sides are equal & parallel. Because rectangles is a 2-D form, it has two dimensions: length and width.
Some characteristics of rectangle are-
The length of the rectangle is the longer side, while the width would be the shorter side.Because all of the angles in a rectangle are equal, it is also known as an equiangular quadrilateral. The quadrilateral is a closed 4-sided shape.Since a rectangle contains parallel sides, it is also known as a right-angled parallelogram. The parallelogram would be a quadrilateral with equal and parallel opposite sides. Rectangles are a type of parallelogram.Now, according to the question,
Let 'P' be the perimeter of the rectangle.
Perimeter = 2(Length + Breadth)
P = 2(L + B)
The perimeter is 26 meters.
26 = 2(L + B)
L + B = 13
B = 13 - L
Now, the area of the rectangle is given as;
Area = Length×Breadth
A = L×B
Substitute the value of B in area.
A = L×(13 - L)
Area in terms of length x, Put L =x
A(x) = x(13 - x)
Therefore, the area A(x) of the rectangle in terms of the length x of one of its sides. A(x) = x(13 - x).
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Help me with this Question Please.
Answer:
\(3 \times \frac{1}{3 } + \frac{1}{2} \times - 12( \frac{1}{3} ) = \frac{1}{3} \)
Help me
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If you do I will give you Ten RaMeN NoOdLe bOwLs at Ichiraku Ramen
Its the Best In The Hidden Leaf Village! Believe It!
(Answer All.. be Fast I might eat the noodles)
Answer:
GIVE ME MY RAMEN
Step-by-step explanation:
3.
add like terms
30 + 7k = 100
100-30 = 70
70 divided by 7k = 10
k = 10
4. add the z's together
2z - 6 -2 = -10
+ 6 + 2
-10 will be -2 now since we dragged the -6 and -2 to the other side
2z = -2
z = -1
5. 3.2x - 1.7x = 1.5x
1.5x + 5.5 = 10
10 would be 4.5 since we dragged 5.5 to the other side so it would be 10 - 5.5
3.2x = 5.5
x = 1.71875
6.
3/4x - 1/4x = 2/4x
14 - 3 = 11
2/4x = 11
x = 22
"Find the surface area of a rectangular prism whose length is 11 cm, width 6 cm,
height 6 cm"
Answer:
52.08
Step-by-step explanation:
Very much struggling with geometry right now, would appreciate the help ❤️
Answer: x= 30
Step-by-step explanation:
These are corresponding angles which means they are equal. (2x+25) = (3x-5). Subtract 2x from both sides. 25 = x-5. Add 5 to both sides. 30 = x
When a/b=4, a^2-16b^2=
Answer:
C
Step-by-step explanation:
Look at the picture I've sent the explanation is inside.
The required value of the expression a² - 16b² is 0, it is obtained by substituting the value of a = 4b in the expression, which correct answer would be an option (C).
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
We have been given an equation as
a/b = 4
Apply the cross-multiplication operation,
a = 4b
We have to determine the evaluated value of the expression a² - 16b².
⇒ a² - 16b²
Substitute the value of a = 4b in the above expression,
⇒ (4b)² - 16b²
⇒ 16b² - 16b²
Apply the subtraction operation to get the solution,
⇒ 0
Therefore, the obtained value of the expression a² - 16b² is 0.
Hence, the correct answer would be an option (C).
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6 in
10 in
8 in
a. What is the volume of the prism, in cubic inches?
12 in
b. What is the surface area of the prism, in square inches?
The total surface area and volume of prism are:
Volume = 576 in³
Total Surface Area = 336 in²
How to find the surface area and volume of the prism?The volume of the prism is calculated as:
Volume = Base Area * Height
Thus, we have:
Volume = (12 * 8) * 6
Volume = 576 in³
The total surface area is the sum of the surface area of all individual surfaces and as such we have:
Total Surface Area = (8 * 12) + (12 * 6) + (12 * 10) + 2(0.5 * 8 * 6)
Total Surface Area = 96 + 72 + 120 + 48
Total Surface Area = 336 in²
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A trough shaped like half a cylinder is filled with water. The trough is 10 feet wide and 20 feet long. The trough is filled with water. Approximate the work it would take to pump the water out over the top of tank with a Riemann sum. Then take the limit to find the work using an integral. (The density of water is 62.5 pounds per cubic foot.)
The work required to pump out all the water is approximately 15625π² foot-pounds, if we calculate it using an integral.
How to solve the volumeThe volume V of a half-cylinder is given by the formula V = 1/2 * π * r² * h,
The radius r = 10/2
= 5 feet
the volume is V = 1/2 * π * (5 ft)² * 20 ft
= 250π cubic feet.
The weight w = ρV
= 62.5 lb/ft³ * 250π ft³
= 15625π pounds.
The weight of this strip is dw = ρ * dV
= 62.5 * dV
= 62.5 * π * r² * dy.
W = ∫ from 0 to 5 of 62.5 * π * r² * y dy
= ∫ from 0 to 5 of 62.5 * π * (25 - y²) * y dy
= 62.5 * π * ∫ from 0 to 5 of (25y - y³) dy
= 62.5 * π * [ (25/2)y² - (1/4)y⁴ ] evaluated from 0 to 5
= 62.5 * π * [ (25/2)*25 - (1/4)*625 - 0 ]
= 62.5 * π * [ 312.5 - 156.25 ]
= 62.5 * π * 156.25
= 15625π² ft-lbs.
So, the work required to pump out all the water is approximately 15625π² foot-pounds, if we calculate it using an integral.
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The optimal amount of x1, x2, P1, P2 and income are given by the
following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I
=4189 The new price of P1 is the foll
The total change in the consumed quantity of x₁ as per given price and income is equal to 213.
x₁ = (21/7)P₁
x₂ = (51/7)P₂
P₁ = 10
P₂ = 5
P₁' = 81
To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',
The difference between the quantities consumed at the original price and the new price.
Let's calculate the quantity consumed at the original price,
x₁ orig
= (21/7)P₁
= (21/7) × 10
= 30
x₂ orig
= (51/7)P₂
= (51/7) × 5
= 36.4286 (approximated to 4 decimal places)
Now, let's calculate the quantity consumed at the new price,
x₁ new
= (21/7)P1'
= (21/7) × 81
= 243
x₂ new
= (51/7)P2
= (51/7) × 5
= 36.4286
The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,
Change in x₁
= x₁ new - x₁ original
= 243 - 30
= 213
Therefore, the total change in the quantity consumed of x₁ is 213.
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The above question is incomplete, the complete question is:
The optimal amount of x1, x2, P1, P2 and income are given by the following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?
Please answer step by step
It costs $9 to travel 60 miles. Find the unit rate (cost per mile). Write your answer as a decimal (do not include labels).
Answer:
6.6
Step-by-step explanation:
use a calculator to find your answers it works well
how many solutions does 0.5(x−3)=3x−2.5 have?
Answer:
3
Step-by-step explanation:
mark brainliest pls
This is for a p e x and I don’t understand
Answer:
ya cant even see it
Step-by-step explanation:
Which variable/predictor is the most significant? Hint: look at the p-value (P >|t|) of each predictor. a. cen_lat (latitude) b. elev (elevation) c. log-population d. All equally significant.
The variable/predictor is the most significant is All equally significant. Therefore the correct option is option D.
To determine which predictor variable is the most significant, we need to look at the p-values (P>|t|) of each predictor in the regression model.
A p-value less than the significance level (typically 0.05) indicates that the predictor is statistically significant in the model and has a significant effect on the response variable.
A higher p-value indicates that the predictor is less significant or may not have a significant effect on the response variable.
We need to examine the p-values of each predictor variable in the model and compare them to the significance level. able is the most significant based on the given information. Therefore the correct option is option D.
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point) We say a definite integral is improper if one is infinite, or if the is infinite.
A definite integral is said to be improper if one or both of the limits of integration are infinite, or if the integrand function has a vertical asymptote within the interval of integration.
In other words, an improper integral is one that cannot be evaluated using the usual techniques of integration, such as the fundamental theorem of calculus, because it involves infinite limits or a function that is not integrable over the interval.
For example, the definite integral of f(x) = 1/x from 1 to infinity is an improper integral because the upper limit of integration is infinity, which is not a finite number. Similarly, the definite integral of f(x) = ln(x) from 0 to 1 is an improper integral because the lower limit of integration is 0, and the function has a vertical asymptote at x=0.
To evaluate improper integrals, we use limit processes to determine whether the integral converges (has a finite value) or diverges (has an infinite value). If the integral converges, we can find its value by taking the limit of a related integral as one or both of the limits of integration approach infinity or zero.
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I’m going back home now
Answer:
write a letter about you receiveing a gift from aunt
Solve the following 0-1 integer programming model problem by implicit enumeration.
Maximize 2x1 −x 2 −x 3
Subject to
2x 1 +3x 2 −x 3 ≤4
2x 2 +x 3 ≥2
3x 1 +3x 2 +3x 3 ≥6
x 1 ,x 2 ,x 3 ∈{0,1}
The given problem is a 0-1 integer programming problem, which involves finding the maximum value of a linear objective function subject to a set of linear constraints, with the additional requirement that the decision variables must take binary values (0 or 1).
To solve this problem by implicit enumeration, we systematically evaluate all possible combinations of values for the decision variables and check if they satisfy the constraints. The objective function is then evaluated for each feasible solution, and the maximum value is determined.
In this case, there are three decision variables: x1, x2, and x3. Each variable can take a value of either 0 or 1. We need to evaluate the objective function 2x1 - x2 - x3 for each feasible solution that satisfies the given constraints.
By systematically evaluating all possible combinations, checking the feasibility of each solution, and calculating the objective function, we can determine the solution that maximizes the objective function value.
The explanation of the solution process, including the enumeration of feasible solutions and the calculation of the objective function, can be done using a table or a step-by-step analysis of each combination.
This process would involve substituting the values of the decision variables into the constraints and evaluating the objective function. The maximum value obtained from the feasible solutions will be the optimal solution to the problem.
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2(3+x)=18 what does x equal please show work
2(3 + x) = 18 / : 2
3 + x = 9
x = 9 - 3
x = 6
Answer:
x = 6
Step-by-step explanation:
2(3 + x) = 18 ( divide both sides by 2 )
3 + x = 9 ( subtract 3 from both sides )
x = 6
find the area of the semi circle please
Answer:
58.4197cm^2
Step-by-step explanation
cirlce area formula: \(\pi\)r^2
r= 6.1
\(\pi\)=3.14
Now plug numbers into the formula
area of circle:
= (3.14)(6.1^2)
=(3.14)(37.21)
= 116.8394cm^2 ------> area of full circle
now divide by 2, to find area of semi circle
116.8394/2= 58.4197cm^2
\( \huge\fbox\red{A}\fbox\pink{n}\fbox\purple{S}\fbox\green{w}\fbox\blue{E}\fbox\orange{r}\)
area of semicircle is 58.572 m²
\( \huge \sf { \fcolorbox{green}{g}{Explanation :- }}\)
\( \huge \underline{\large \fbox \red{Concept : }}\)
We have to find the area of semicircle
So firstly we need to find the area of circle. because the semicircle of circle is the half of area of circle so first we find the area of circle then divide by 1 /2 then we get the area of semicircle.
We have given the radius of circle is 6.1 m
\(\huge\mathfrak\red{Solution : }\)
\( \mathfrak \green{Area \: of \: circle = π × ( radius) ²}\)
\(\mapsto \: \: \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times( 6.1 \: m)^{2} } \\ \)
\(\mapsto \small \: \: \: \: \: \mathfrak \blue{ = \frac{22}{7} \: \times37.21 \: m {}^{2} } \\ \)
\(\mapsto \: \small\: \: \: \: \: \: \mathfrak \blue{ = 116.94 \: m {}^{2} }\)
Therefore,
\(\small \mathfrak \red{Area \: of \: semicircle = \frac{1}{2} \times area \: of \: circle}\)
\( \small \mathfrak \green{ = \frac{1}{2} \times 116.94 \: cm \: {}^{2} } \\ \)
\(\mapsto \: \small\: \: \: \: \: \: \mathfrak { = 58.472\: m {}^{2} }\)
\( {\underline {\fbox\red{Hence, the area of semicircle is 58.572 m²}}}\)
A researcher conducted a one-sided hypothesis test for a proportion (Ha:p>po) and obtained a test statistic of 4.318. Which of the following are true? Check all that apply. - The observed sample proportion is 4.318 standard deviations above the claimed value po. - The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. - The researcher should fail to reject the null hypothesis. - When the null hypothesis is true, the test statistic comes from a standard normal distribution. - There is a 4.318% chance that the alternative hypothesis is true.
This statement is true, as the test statistic represents the number of standard deviations between the observed sample proportion and the claimed value (po) under the null hypothesis.
- The large value of the test statistic means that our observed data are not surprising when the null hypothesis is true. This statement is false. A large test statistic implies that the observed data is surprising when the null hypothesis is true, which means there is evidence against the null hypothesis.
- The researcher should fail to reject the null hypothesis. This statement is false. A large test statistic suggests evidence against the null hypothesis, so the researcher should reject the null hypothesis in favor of the alternative hypothesis.
- When the null hypothesis is true, the test statistic comes from a standard normal distribution. This statement is true, as the test statistic follows a standard normal distribution when the null hypothesis is true.
- There is a 4.318% chance that the alternative hypothesis is true. This statement is false. The test statistic does not directly provide the probability of the alternative hypothesis being true. Instead, we can use the test statistic to calculate the p-value, which represents the probability of obtaining a test statistic as extreme as the observed one, assuming the null hypothesis is true.
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PLEASE HELP ME FAST...
Answer:
Sequence a) Pattern: (-2) -9, -11, -13, -15, -17
Sequence b) Pattern: (-5) -15, -20, -25, -30, -35
Sequence c) Pattern: (-6) -13, -19, -25, -31, -37
Hope this helps!
Hi there! Hopefully this helps!
-------------------------------------------------------------------------------------------------------------
A (Subtracting by 2): -9, -11, -13, -15, -17.
B(Subtracting by 5): -15, -20, 25, -30, -35
C(Subtracting by 6): -13, -19, -25, -31, -37
In the high school graduation class there was 200 students five years later it was 320 the next year it was 400 which five year peroid experinced the greatest perecent change
The greatest percent change occurred in the first five-year period, between the first and second year, with a percent change of 60%.
What is percent ?
Percentage is a number or ratio expressed as a fraction of 100.
We can calculate the percent change between two values using the following formula:
percent change = (new value - old value) / old value x 100%
To compare the percent change over a five-year period, we need to consider the percent change between each pair of values, as follows:
Percent change between the first and second year:
percent change = (320 - 200) / 200 x 100% = 60%
Percent change between the second and third year:
percent change = (400 - 320) / 320 x 100% = 25%
Therefore, the greatest percent change occurred in the first five-year period, between the first and second year, with a percent change of 60%.
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In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.
Complete question is;
In February 2009, the Harris Poll asked a sample of Americans whether they thought churches and religious groups have too much or too little power and influence on Washington†. The opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure. (a) What type of distribution is this? cumulative frequency distribution simple frequency distribution cumulative percent distribution relative percent distribution (b) Knowing that 1,010 adults were polled nationwide, how many Americans polled felt that churches and religious groups have too little power and influence on Washington? (Round your answer to the nearest whole number.) Americans
Answer:
A) Relative percent distribution
B) 576 Americans
Step-by-step explanation:
A) We are given that the opinions of Americans were 34% too much, 57% too little, 4% just right, and 5% unsure.
This means that number of people in each of this category was divided by total number of people in the poll and multiplied by 100%.
Thus,it is relative percent distribution.
B) Since 1,010 adults were polled nationwide, therefore the number of Americans polled felt that churches and religious groups have too little power and influence on Washington = 57/100 × 1010 ≈ 576 people
WHICH OF FOLLOWING IS NOT POSSIBLE?
O A. AN OBTUSE ISOSCELES TRIANGLE
OB. AN ACUTE ISOSCELES TRIANGLE
OC. AN OBTUSE EQUILATERAL TRIANGLE
OD. AN ACUTE EQUILATERAL TRIANGLE
Answer:
The answer would be C. An obtuse equilateral triangle :)
please help asap !!
Solve the system of equations 2x + 3y = 40 and -2x + 2y = 20 A.x = 10 , y = 20 B. x=-10 , y = 20 C. x = -6 , y = 4 D. x = 2 , y = 12
Answer:
D is answer
Step-by-step explanation:
-2x + 2y = 20
2x = 40-3y
so -(40-3y)+2y =20
-40+3y+2y = 20
5y = 60
y = 12
2x = 40-3y
2x = 40-3(12)
2x = 40-36
2x = 4
x = 2
so x = 2 , y = 12
What value is equivalent to 3 x 10 - 2(12 - 3 x 3)
The ladder to the top of a slide is 6 ft long
and perpendicular to the ground. If the
slide makes an angle of 30° with the
ground, then what is the approximate
length of the slide?
Answer:
3
Step-by-step explanation:
sin30=x/6
SOH CAH TOA
then reorganize and it is 6 (sin 30)= 3
Help pleaseee it’s math
Answer:
ur answer should be C. there is no solution. Because when u solve x+5=x+5, u will get x+5-x-5=0. Both x and 5 will be cancelled out and u will get 0=0 which means no solution. So ur answer is C.
Answer:
0=0 the solution is all real numberz
Step-by-step explanation:
The equation P= 2l + 2w models the perimeter, P, of a rectangle with a length of / units and a width of w units.
A rectangle has perimeter of 60 units and a length that is double its width.
What is the width in units
of the rectanale?
Answer:
width = 10 units
Step-by-step explanation:
Given : l = 2w
P = 2l + 2w
P = 2(2w) + 2w
60 = 6w
w = 10 units
\(\\ \rm\rightarrowtail 2(2x+x)=60\)
\(\\ \rm\rightarrowtail 2(3x)=60\)
\(\\ \rm\rightarrowtail 3x=30\)
\(\\ \rm\rightarrowtail x=10\)
Mike walks ½ mile in 30 minutes. What is his unit rate in miles per hour
Answer:
1 mile per hour
Step-by-step explanation:
you just double it