Answers
Answer:
a = 35º
b = 140º
c = 40º
d = 140º
e = 58º
Step-by-step explanation:
Angle A is supplementary to the angle that is 145º, and supplementary angles always add up to 180º. Therefore, 180 - 145 = 35, the measure of angle a. Angle B is supplementary to the 40º angle, so its measure is 140. Angle C is opposite the 40º angle, and opposite angles are congruent, so its measure would also be 40º. Angle D is also 140º because it is opposite of angle B. Angle E is supplementary to the angle that measures 122º, so 180 - 122 = 58. Hope this helped!
Related Questions
A caterer needs to make 645 meals for a business meeting. She has made 432 meals. How many more medals does she need to make?
Answers
Answer: She needs to make 213 more medals.
whats 9999999999+××888899182764urydujdh7w73747
Answers
Answer:
.0589582125/*6.059852 cuhhhhh
Step-by-step explanation:
which of the binomials below is a factor of this trinomial 8x^2+10x-3
Answers
Answer:
(4x−1) (2x+3)
A certain disease has an incidence rate of 0.4%. If the false negative rate is 8% and the false positive rate is 2%, compute the probability that a person who tests positive actually has the disease
Answers
Answer:
To compute the probability that a person who tests positive actually has the disease, we need to use Bayes' theorem:
P(D|P) = P(P|D) * P(D) / P(P)
where:
P(D|P) is the probability of having the disease given a positive test result
P(P|D) is the probability of testing positive given that the person has the disease (also known as sensitivity), which is 1 - false negative rate = 0.92 in this case
P(D) is the incidence rate of the disease, which is 0.4% = 0.004
P(P) is the probability of testing positive, which can be computed using the false positive rate as 1 - specificity = 1 - 0.98 = 0.02
Plugging in the values, we get:
P(D|P) = 0.92 * 0.004 / 0.02 = 0.184
Therefore, the probability that a person who tests positive actually has the disease is 0.184, or about 18.4%.
The null and alternative hypotheses are given. Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed and the parameter that is being tested. H0: σ = 8.6 H1: σ < 8.6
Answers
Answer:
Test is Left tailed test
Parameter tested is standard deviation
Step-by-step explanation:
We are given the hypothesis as;
Null hypothesis; H0: σ = 8.6
Alternative hypothesis; H1: σ < 8.6
Where;σ is a constant generally known in statistics as the standard deviation.
Now, it's the alternative hypothesis that will let us know whether this is left tailed, right tailed or two tailed.
Alternative hypothesis says σ < 8.6.
This means that the values of σ that satisfy this hypothesis are less than 8.6 and thus are on the left hand side of 8.6 on a number line. Thus, the shaded region in a normal distribution curve will be on the left.
Thus, it's a left tailed test
An urn contains marbles of four colors: red, yellow, blue, and green. All but 45 of the marbles are red; all but 45 are yellow; all but 45 are blue; and all but 60 are green. How many of the marbles are green?
Answers
Answer:
5
Step-by-step explanation:
Let the number of
red marbles be r
blue marbles be b
yellow marbles be y and
green marbles be g
Let the Total number of marbles be T then
r + y + b + g = T
If all but 45 of the marbles are red then
y + b + g = 45
As such, r + 45 = T
all but 45 are yellow;
r + b + g = 45
As such, y + 45 = T
all but 45 are blue;
y + r + g = 45
As such, b + 45 = T
It means that the number of red, yellow and blue marbles are equal
Hence y = b = r
If all but 60 are green
y + b + r = 60
y + y + y = 60
3y = 60
y = 60/3 =20
This means that there are 20 yellow marbles, 20 red marbles and 20 green marbles
The total number of marbles T = 20 + 45 = 65
As such, g + 60 = T
g + 60 = 65
g = 65 - 60
= 5 marbles
There are 5 marbles which are in green color.
Let us consider that red, yellow, blue, and green marbles are represented by r, y, b and g respectively.
Total number of marbles are represented by T .
All but 45 of the marbles are red;
\(T-45=r ........(1)\)
All but 45 are yellow,
\(T-45=y...........(2)\)
All but 45 are blue,
\(T-45=b..............(3)\)
From equation 1 , 2 and 3
We observe that,
\(r=y=b\)
Since, all but 60 are green, \(T-60=g\)
\(T=r+y+b+g\\\\r+y+b+g-60=g\\\\r+y+b=60\\\\3y=60\\\\y=20\\\\r=y=b=20\)
Now, Total number of marbles \(=45+20=65\)
Number of green marbles\(=65-60=5\)
Therefore, There are 5 marbles which are in green color.
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A cashier worked an 8-hour day, and earned $58.00. The double number line shows the amount she earned for working different numbers of hours. For each question, explain your reasoning.
How much does the cashier earn per hour?
How much does the cashier earn if she works 3 hours? pls help me!!
Answers
Answer:
The cahier earns 7.25 an hour
and in three hours she will have 21.75
Answer:
Step-by-step explanation: IT Is The cashirs earns $7.25 each hour.She will have 21.7$
Refer to the information below to answer Questions 9 and 10. Value of Property Up to K35 000 K35 000 to K70 000 K70 000 to K140 000 Over K140 000 10. Rate of Stamp Duty 2% 3% 4% 5% 9. Calculate the stamp duty payable on properties whose purchase price is K45 000. (1 mark) Answer: Calculate the stamp duty payable on properties whose purchase price is K150 000. (1 mark) Answer:
Answers
9. The stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.
To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.
Given:
Value of Property:
Up to K35,000: Stamp Duty Rate - 2%
K35,000 to K70,000: Stamp Duty Rate - 3%
K70,000 to K140,000: Stamp Duty Rate - 4%
Over K140,000: Stamp Duty Rate - 5%
9. Calculate the stamp duty payable on properties whose purchase price is K45,000:
Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K45,000 * 3%
= K45,000 * 0.03
= K1,350
Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.
10. Calculate the stamp duty payable on properties whose purchase price is K150,000:
Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.
Stamp Duty Payable = Purchase Price * Stamp Duty Rate
= K150,000 * 5%
= K150,000 * 0.05
= K7,500
Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.
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What's 413 divided by 23 remainder:
Answers
Answer:
17 22/23 or 17.95652173913043 or ≈ 18
Step-by-step explanation:
You will create an estimate in order to assist your boss in gaining the job!
The equation that is given by the customer for the pool is (units are in feet): x2 + y2 = 81
- Your performance needs to include the following calculations:
- Compute the radius and diameter of the pool.
- Compute the volume of water in the pool using the above calculations and a height of 4 ft.
- Assuming that water costs $0.22 per gallon and that pools cost $185 per foot of radius calculate the total cost of materials for the pool. Keep in mind that there are 7.48 gallons of water per square foot.
- Assuming that a pool will take 2.5 hrs. per foot of radius, compute the total labor hours for the pool.
- If you are to pay someone $19/hr, compute the total cost of labor.
- Find a total cost for the project.
- All of the above is done showing all work.
- A final paragraph that describes your steps and findings.
Answers
The solution has been explained below.
We will use the following equation, x² + y² = 81, where x and y are the pool's dimensions in feet, to determine the necessary estimations for the pool project.
1. Calculate the pool's diameter and radius:
We can infer that the radius of the pool is equal to the square root of 81 because the equation depicts a circle. As a result, r = 81 = 9 ft.
The pool's diameter is simply equal to twice its radius, or d = 2r = 18 feet.
2. Calculate the amount of water in the pool:
Since the pool is 4 feet high, we can determine its volume by multiplying the area of its circle-shaped base by the height.
The formula A = πr² can be used to calculate the area of the pool's base,
Therefore, V = Ah = πr²h = 1017.87 cubic feet represents the volume of water in the pool.
3. Determine the pool's total material cost:
There are 7.48 gallons in a cubic foot and a gallon of water costs $0.22.
As a result, Cw = V × 7.48 × 0.22 = 1017.87 × 7.48 × 0.22 = $1,619.72 is the entire cost of water for the pool.
If the radius of the pool is $185 per foot, then the cost of the materials is Cm = r × 185 = 9 × 185 = $1,665.
4. Calculate the pool's total labour hours:
A pool's construction is estimated to take 2.5 hours for every foot of its radius.
So, L = r × 2.5 = 9 × 2.5 = 22.5 hours of labour would be needed to complete this pool.
5. Calculate the total cost of labour for the project:
If you pay someone $19 per hour, Cl = L × 19 = 22.5 × 19 = $427.5.
6. Find the project's overall cost:
The project's overall cost is the product of its labour and material costs:
Cost as a whole equals Cm + Cw + Cl, which is 1,665 + 1,619.72 + 427.5, or $3,712.22.
In conclusion, the pool has an 18-foot diameter and a 9-foot radius according to the supplied equation. There are roughly 1017.87 cubic feet of water in the pool. Water and building supplies are included in the pool's projected material cost of $3,284.72. 22.5 hours of labour in total are needed, with a labour cost estimate of $427.5. Consequently, $3,712.22 is the expected final cost of the pool renovation.
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Point X is at 2/3 on a number line. On the
same number line, point Y is the same
distance from 0 as point X, but has a
numerator of 8. What is the denominator
of the fraction at point Y? Draw a number
line to model the problem.
Answers
The denominator of the fraction at point Y is equal to 24.
What is a number line?In Mathematics, a number line can be defined as a type of graph with a graduated straight line which comprises both positive and negative numbers that are placed at equal intervals along its length.
Let the variable d represent the denominator of the fraction at point Y and since point Y is the same distance from 0 as point X, which is at 2/3 on a number line, this can be modeled by this mathematical expression:
8/d = 1 - 2/3
8/d = 1/3
Cross-multiplying, we have:
d = 8 × 3
d = 24.
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Question 6
Sharron gets a total of £1050 each month.
She spends 3/10 of this on rent and 2/3 on food and bills.
How much money does Sharron have remaining?
Show your working out and write your answer in the box below.
Answers
2/3 = 0.66 and 3/10= 0.3
Then multiply both by the total amount
1050 x 0.66 = 693
1050 x 0.3 = 315
Add them both together
693 + 315 = 1008
Then subtract 1008 from 1050
1050-1008 = 42
the probability he chooses get marbel
Answers
Step 1: Problem
Step 2: Concept
\(\text{Probability of any event = }\frac{n\text{ umber of required outcome}}{n\text{ umber of total possible outcome}}\)Step 3: Method
Red R = 3
Blue B = 2
Green G = 5
Total = 10
Apply tree diagram
Probability of choosing a red marble without replacement then a blue marble = Red, and Blue
'AND' in probability mean multiplication.
\(\begin{gathered} =\text{ }\frac{3}{10\text{ }}\text{ x }\frac{2}{9} \\ =\text{ }\frac{6}{90} \\ =\text{ }\frac{1}{15} \end{gathered}\)Step 4: Final answer
Probability of choosing a red marble without replacement then a blue marble = 1/15
I need help with 1 through 10
Answers
Answer:
1) yes
2) no
3) no
4) no
5) yes
6) yes
7) yes
8) yes
9) circle equation - B
10) circle equation - D
11) 12 people in each team
sorry im not able to answer for 12 , 13 and 14 i have urgent work im so sorry
5. Preimage
A(-4,4)
B(-1,2)
C(-4,1)
Image
A'(4,4)
B' (2, 1)
C’(1,4)
Use coordinate notation to write the rule that maps each preimage to its image.
Answers
The notation to write the rule that maps each preimage to its image will be rotation about the origin.
What is a transformation of a shape?A point, line, or geometric figure can be transformed in one of four ways, each of which affects the structure and/or location of the object.
From before the refers to the object's initial condition, and Picture, after transformation, refers to the object's ultimate structure and location.
Rotation does not change the shape and size of the geometry. But changes the orientation of the geometry.
If the geometry is rotated, then there is no change in angles.
Preimage Image
A(-4,4) A'(4,4)
B(-1,2) B' (2, 1)
C(-4,1) C’(1,4)
From the diagram, we can conclude that the notation to write the rule that maps each preimage to its image will be rotation about the origin.
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A number cube is rolled. Event A is rolling an odd number, and event B is rolling a factor of 12. What is P(AU B)?
Answers
Explanation:
A = set of odd numbers = {1,3,5}
B = set of factors of 12 = {1,2,3,4,6}
A U B = union of set A and set B
A U B = {1,3,5} union {1,2,3,4,6}
A U B = {1,3,5, 1,2,3,4,6}
A U B = {1,2,3,4,5,6}
The set union operation combines two sets into one bigger set. Duplicates are tossed out.
There are 6 elements in the set A U B = {1,2,3,4,5,6} out of 6 faces of the number cube.
Therefore, the probability event A U B happens is 6/6 = 1 = 100%; i.e. it is guaranteed to happen. Each face of the number cube is either odd, a factor of 12, or both.
Side notes:
A U B can be read out as "event A or event B"; so P(A U B) is "the probability event A happens or B happens or both".A intersect B = {1,3} = values that are in both set A and set B at the same time. These are both odd and a factor of 12.Help plssss!!! I would really appreciate it!
Answers
Answer:
The table represents a linear function.
Step-by-step explanation:
Graphed, the points go in a straight line, and you are able to draw a line through it. The equation for the line is y = 4x + 4.
I require immediate assistance on this question if one of you kind hearted individuals on this app would be so nice and help me
Answers
A graph that represents each set of points is shown below.
A set that represents equivalent ratios include the following: B. (2, 1), (6, 3), (10, 5).
What is a proportional relationship?In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:
y = kx
Where:
y represents the y-variable.x represents the x-variable.k is the constant of proportionality.Next, we would determine the constant of proportionality (k) by using the various data points from table D as follows:
Constant of proportionality, k = y/x
Constant of proportionality, k = 1/2 = 3/6 = 5/10
Constant of proportionality, k = 0.5.
Therefore, the required linear equation is given by;
y = kx
y = 0.5x
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A principal of S4800 is invested at 9% Interest, compounded annually. How much will the investment be worth after 7 years?
Use the calculator provided and round your answer to the nearest dollar.
sil
Х
$
?
Answers
Answer:
$8775 is the value of the investment after seven years
9.
Here are Jason's scores on his science tests this year:
85, 91, 48, 98, 99, 91, 90, 84, 91, 87, 80
What is the mean absolute deviation of Jason's scores? (Round to the nearest thousandths place)
Answers
Answer:
85.818
Step-by-step explanation:
A French class has a total of 31 students. The number of males is 7 more than the number of females. How many males and how many females are in the class?
Answers
Answer:
12
Step-by-step explanation:
Which graph represents the solution set of the system of inequalities?
y ≤ 2x + 1
y>-21-3
Answers
Answer:
see below
Step-by-step explanation:
1. Notice that your inequalities have ≤ and >. So one of the lines on the graph must be dotted, eliminating the bottom two choices.
2. The lines on both of the top choices are graphed identically, so now it's all about shading. The best way to determine correct shading is by testing a point to see if it makes a true statement in BOTH inequalities.
a) Choose a point in the shaded region of the first option (I highly recommend (0,0)!!). Replace x and y in each inequality with the x and y from the point, and evaluate:
0 ≤ 2(0) + 1? ⇒ 0 ≤ 1 TRUE
0 > -2(0) - 3 ⇒ 0 > -3 TRUE
b) Since that point made both true statements, the first option is correct. If EITHER statement had been false, you would need to try a point in the shaded region of the second option. I recommend any where x=0 or y=0.
Lily is 14 years older than her little brother Ezekiel. In 8 years, Lily will be twice as old as Ezekiel will be then. What is Lily and Ezekiel's combined age?
Answers
Answer:
30 years
Step-by-step explanation:
let the age of Ezekiel be x years
Given
Lily is 14 years older than her little brother Ezekiel
Age of Lily = x + 14 years
Next condition
after 8 years\
age of Ezekiel = x+8
age of Lily = x + 8 +14 = x + 22 years
Given
. In 8 years, Lily will be twice as old as Ezekiel will be then.
Thus,
x + 22 = 2(x+8)
=> x + 22 = 2x + 16
=> 22-16 = 2x -x
=> x = 6
Thus, age of Ezekiel = 8 years
age of lily = 8+14 = 22 years
sum of their age = 22 + 8 = 30 years answer.
Which type of wave does the illustration depict?
Answers
A man is in a boat 2 miles from the nearest point on the coast. He is to go to point Q, located 3 miles down the coast and 1 mile inland (see figure). He can row at a rate of 1 mile per hour and walk at 3 miles per hour. Toward what point on the coast should he row in order to reach point Q in the least time? (Round your answer to two decimal places.) 0.84 mile(s) down the coast
Answers
Least time required to reach the point Q as per the distance and the speed rate is equal to 2 hours.
As given in the question,
Nearest point on the coast is 2 miles far away
rate of the row = 1mile per hour
Walk at the rate of 3 miles per hour
Let 'x' hours be the least time to reach point Q.
Time = distance / speed
Time taken to reach the point Q = [√ 1 + ( 3 - x)² ]/ 3
Time taken to reach the coast = (√ 4 + x² ) / 1
Total time taken 't' = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
To find least time dt/dx = 0
t = (√ 4 + x² ) / 1 + [√ 1 + ( 3 - x)² ]/ 3
⇒dt/dx = [ x / √ 4 + x² ] + ( 3 - x) / √( 10 -6x + x² )
⇒x / √ 4 + x² = ( x - 3) / √( 10 -6x + x² )
Squaring both the side we get,
x² / (4 + x²) = ( x - 3)² / ( 10 -6x + x² )
⇒3x² -24x +36 =0
⇒ x² -8x + 12 = 0
⇒ x = 2 or 6 hours
Therefore , the least time taken to reach the point Q is equal to 2 hours.
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10. The boys and girls in Mrs. Hall's class are collecting cans for the food drive. The
ratio of cans saved by the boys versus the girls is 2:5. The girls have saved 15 more cans
than the boys.
Answers
Answer:
hope it helps you
this is my answers
Mission Company is preparing its annual profit plan. As part of its analysis of the profitability of individual products, the controller estimates the amount of overhead that should be allocated to the individual product lines from the information provided below. (CMA based)
Wall Mirrors Specialty Windows
Units Produced 40 20
Material moves per product line 5 15
Direct labor hours per product line 200 300
Budgeted material handling costs: $50,000
Under a traditional costing system that allocates overhead on the basis of direct labor hours, the materials handling costs allocated to one unit of Specialty Windows would be:
Answers
Answer:
Arrange the following number in descendig otder
Which equation represents the following table?
Answers
Answer:
y=2x-4
Step-by-step explanation:
gdgdvdjsksevsg
Find the derivative of Y with respect to theta.
Y=ln(theta -4)-e^theta
Answers
Answer:
\(\displaystyle \frac{dy}{d\theta} = \frac{1}{\theta -4} -e^\theta\)
Step-by-step explanation:
We are given the function:
\(\displaystyle y = \ln \left( \theta - 4 \right) - e^\theta\)
And we want to find dy/dθ.
Take the derivative of both sides with respect to θ:
\(\displaystyle \frac{dy}{d\theta} = \frac{d}{d\theta}\left[ \ln \left(\theta - 4\right) - e^\theta\right]\)
Rewrite:
\(\displaystyle \frac{dy}{d\theta} = \frac{d}{d\theta}\left[ \ln\left(\theta -4\right)\right] - \frac{d}{d\theta}\left[e^\theta\right]\)
Differentiate. The first differentiation requires the chain rule:
\(\displaystyle \begin{aligned}\frac{dy}{d\theta} & = \frac{1}{(\theta - 4)}\cdot \frac{d}{d\theta}\left[ \theta -4\right] - (e^\theta) \\ \\ & = \frac{1}{\theta -4} - e^\theta \end{aligned}\)
In conclusion:
\(\displaystyle \frac{dy}{d\theta} = \frac{1}{\theta -4} -e^\theta\)
Step-by-step explanation:
\(y = \ln( \theta - 4) - {e}^{ \theta} \)
\( \frac{dy}{d \theta} = \frac{d}{d \theta} ( \ln( \theta - 4) ) - \frac{d}{d \theta} ( {e}^{ \theta} )\)
\( \frac{dy}{d \theta} = \frac{d}{d \theta}( \theta - 4). \frac{1}{\theta - 4} - {e}^{ \theta} \)
\( \frac{dy}{d \theta} = 1.\frac{1}{ \theta - 4} - {e}^{ \theta} \)
\( \frac{dy}{d \theta} = \frac{1}{ \theta - 4} - {e}^{ \theta} \)
Which expression is equivalent to 2x2−x+1/8A
2(x−12)2
B
2(x−14)2
C
2(x−18)2
D
2(x−116)2
Answers
Answer: D. 2(x−1/16)^2
Step-by-step explanation:
To find the equivalent expression in the given options, we'll complete the square:
1. First, let's focus on the x^2 term. Factor out the 2:
2(x^2 - (1/2)x) + 1/8
2. Now, we'll complete the square inside the parentheses by adding and subtracting the appropriate square term:
To determine this term, take half of the x coefficient (1/2) and square it: (1/4)^2 = 1/16.
So, the expression becomes:
2(x^2 - (1/2)x + 1/16 - 1/16) + 1/8
3. Now, rewrite the expression with the completed square:
2((x - 1/4)^2 - 1/16) + 1/8
4. Distribute the 2:
2(x - 1/4)^2 - 2(1/16) + 1/8
5. Simplify the expression:
2(x - 1/4)^2 - 1/8 + 1/8
6. The last two terms cancel each other out, and we are left with:
2(x - 1/4)^2
This expression is equivalent to option D:
D. 2(x−1/16)^2