Answer:
B is wrong!! Angle 2 and Angle 7 are alternative EXTERIOR angles
Step-by-step explanation:
Also, don't hate math, it's easy if you understand it
5 If the spinner landed on red 100 times
out of the 200 spins, how many red
sections would you expect?
+
Answer:
50 I think. let me know if I'm wrong.
If you were to graph the inequality below on a number line
42≤−7x
Would you use an open circle, or a closed circle?
Would your arrow go to the left or the right?
Express 10.31 as a mixed number.
The mixed number would be \(10\frac{31}{100}\).
What is a mixed number?
A mixed number is a number that is made up of a whole number and a fraction. It is a combination of a whole number and a fraction that represents a value between two whole numbers. For example, 3 1/2 is a mixed number, with 3 as the whole number and 1/2 as the fraction.
To express 10.31 as a mixed number:
The whole number part is 10.
To find the fractional part, subtract the whole number from the decimal: 0.31
To express the fractional part as a fraction, we will have to divide it by 1 and write the decimal as a fraction, in this case 0.31= 31/100
Now we can express 10.31 as a mixed number, that is 10 31/100
Hence, the mixed number would be \(10\frac{31}{100}\).
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What is closure under addition Give 2 example?
The closure property of addition states that the sum of two whole numbers will always be a whole number.
A whole number is a set of all positive integers from 0 to infinity. Now we all know that if we add two positive numbers up, the sum will either remain constant (if the number is 0) or be greater than both numbers. This means that the sum of two whole numbers has to be a whole number.
Example 1 If we add 0 and 45
0 + 45
= 45
We already know that 45 is a whole number.
Example 2- If we add 486 and 354
486 + 354
= 840
From the definition, we can say that 840 is a whole number.
This is the closure property.
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Which of the following observations based on the graph is correct?
The cost of maintaining the machine is constantly rising.
No - "Constantly rising" means that there is never but an upward trend, but there is a flat spot and downward trend from 4 to 6 years.
For the first 3 years, it cost $300 to maintain the machine.
No - If true, the graph would be flat in the first 3 years, but it is rising. Only the 3rd years is the cost $300. The average rate of change between year 1 and year 4 is $500-$100/4 years = $400/year
No - The change in time from year 1 to year 4 is 3 years, not 4. And the $400/400 is $100/year.
The average rate of change between year 1 and year 4 is $500-
$100/(4-1) years = $400/3 years = $133.33 per year
Yes - Divide the change in wage by the change in time.
The average rate of change between year 1 and year 4 is $500-$100/(4-1) years = $400/3 years = $133.33 per year. This statement accurately calculates the average rate of change in cost.
To determine the correctness of the observations based on the graph, we need to carefully analyze the information presented.
Observation 1 states that the cost of maintaining the machine is constantly rising. However, this statement is incorrect as there is a flat spot and a downward trend from 4 to 6 years, indicating a decrease in maintenance costs during that period.
Observation 2 claims that the cost of maintenance is $300 for the first 3 years. This statement is also incorrect since the graph shows a rising trend in the cost during the first 3 years, and it is only in the third year that the cost reaches $300. The cost is not constant for the entire period.
Observation 3 states that the average rate of change between year 1 and year 4 is $400/400 = $100/year. This statement is incorrect because the change in time from year 1 to year 4 is actually 3 years, not 4. Therefore, the correct calculation would be $400/3 years, which is approximately $133.33 per year.
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What is the solution of the system?
Jane, kevin, and hans have a total of in their wallets. kevin has less than jane. hans has times what jane has. how much does each have?
Based on the given conditions, Jane has $31, Kevin has $25, and Hans has $50 in their wallets.
Let's solve the problem step by step.
First, let's assume that Jane has X dollars in her wallet. Since Kevin has $6 less than Jane, Kevin would have X - $6 dollars in his wallet.
Next, we're given that Hans has 2 times what Kevin has. So, Hans would have 2 * (X - $6) dollars in his wallet.
According to the information given, the total amount of money they have in their wallets is $106. We can write this as an equation:
X + (X - $6) + 2 * (X - $6) = $106
Simplifying the equation:
4X - $18 = $106
4X = $124
X = $31
Now we know that Jane has $31 in her wallet.
Substituting this value into the previous calculations, we find that Kevin has $31 - $6 = $25 and Hans has 2 * ($25) = $50.
To find the total amount they have, we sum up their individual amounts:
Jane: $31
Kevin: $25
Hans: $50
Adding these amounts together, we get $31 + $25 + $50 = $106, which matches the total amount stated in the problem.
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The complete question is:
Jane, kevin and hans have a total of $106 in their wallets. kevin has $6 less than Jane. hans has 2 times what kevin has. how much do they have in their wallets?
BLOOD TYPES For every 10 people that donated blood, 3 had blood type A positive. If 51 people who had type A positive donated blood, how many people donated blood?
Answer:add all the numbers together then divide the answer by 10
Step-by-step explanation:
Eliza bought a meal that cost $12.00. She tipped the waiter 25% of that amount. How much was her total after tip?
Answer:
$15
Step-by-step explanation:
12 x .25 = 3
12 + 3 = 15
Simplify the expression: 3x + 5 (4y - 2x) + 12
Answer: -7x + 20y + 12
Step-by-step explanation:
Answer: -7x+20y+12
Step-by-step explanation: Hope this help :D
Which graph shows the solution to the inequality Negative 3 x minus 7 less-than 20 Group of answer choices A number lines goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through negative 10. A number line goes from negative 10 to positive 10. An open circle appears at positive 9. The number line is shaded from positive 9 through positive 10. A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through positive 10. A number line goes from negative 10 to positive 10. An open circle appears at negative 9. The number line is shaded from negative 9 through negative 10.
The solution is all values of x greater than -9.
What is the correct graph for the given inequality?The correct graph for the given inequality "Negative 3x - 7 < 20" is:
From negative 10 to positive 10, a number line runs. An open circle shows up at negative 9. From negative 9 to positive 10, the number line is shaded.
To chart the arrangement, we initially confine the variable by adding 7 to the two sides of the imbalance:
Negative 3x - 7 + 7 < 20 + 7
Negative 3x < 27
Next, we divide both sides by -3, remembering to flip the inequality sign since we're dividing by a negative number:
Negative 3x/-3 > 27/-3
x > -9
Therefore, the arrangement is all upsides of x more prominent than - 9. Since these are the values that satisfy the inequality, we graph this by drawing an open circle at -9 on the number line and shading all values to the right of -9.
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Arista opens a savings account with a deposit of r50 000. a year later she deposits another r25 000. another 2 years later she withdraws r10 000. five years after the account was opened, she makes a final deposit of r30 000. the account pays 3.5% p.a. compounded monthly. how much money is is the account immediately after the final deposit of r30 000?
The money is in the account immediately after the final deposit of r30 000 is 107573.
Arista opens a savings account with a deposit of r50 000
principal = 50000
rate of interest = 3.5% componded months
Amount = CI = P(1 + (r/12) )¹²
50000(1 + 0.035/12)¹²
The amount after 1 year is 51778.34
He deposits 25000 now the amount is 51778.34+ 25000 = 76778.34
after 2 years the amount will be
CI = P(1 + (r/12) )²ˣ¹²
76778.34(1 + 0.035)²ˣ¹²
the amount is 82336.64
Now, she withdraws 10000, the amount will be 72336.64
After two years the amount is
CI = P(1 + (r/12) )²ˣ¹²
72336(1 + (0.035/12))²ˣ¹²
77573.04
Now she makes a final deposit of 30000
the amount will be 77573 + 30000 = 107573
Therefore, the money is in the account immediately after the final deposit of r30 000 is 107573.
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PLS HELP SOS
I have a question that I can’t solve can somebody help please
Answer:
By showing your work, you can do 18 divided by 15 to see what the answer would be then you can get the answer then divide the answer by 2.5 which will give you the answer to h.
Hope it helps..
Please answer fast.
A rectangular car park is being measured so that a fence can be constructed around it.The width of the car park is 12 m, correct to the nearest metre. The length of the car park is 34 m, correct to the nearest metre.What length of fence should be ordered to guarantee that there will be enough to surround the car park?
Answer:
92mStep-by-step explanation:
Since we are to construct the fence around the park, to determine the length of the fence, we will find the perimeter of the rectangular car park.
Perimeter of the car park = 2(Length + Width)
Given
Width of car park = 12m
Length of the car park = 34 m
Substituting the given data into the formula;
Perimeter of the park = 2(12+34)
Perimeter of the park = 2(46)
Perimeter of the park = 92m
Hence the length of fence that should be ordered to guarantee that there will be enough to surround the car park is 92m
The volume of a box, a rectangular prism, is represented by the function f(x) = x3 7x2 4x â€" 12. the length of the box is (x 6), and the width is (x 2). which expression represents the height of the box? x â€" 1 x â€" 6 x 1 x â€" 3
The box's dimensions are 7.5 m by 0.5 m by 4.5 m.
V(x) = x3 + 2x2 - 11x - 12
To factor, you want 3 numbers that multiply to give -12 (the constant term) and add to give 2 (coefficient of the x2 term). The answer is 4, -3, and 1: (4)(-3)(1) = -12, 4 + (-3) + 1 = 2. So the volume polynomial factors to:
V(x) = (x+4)(x-3)(x+1)
Now the volume of a rectangular box is:
V = Length*Width*Height = (x+4)(x-3)(x+1)
So let's pick height = (x+1) = 4.5 (you could pick any one of the three factors).
x+1 = 4.5
x = 3.5
Length = (x+4) = 3.5+4 = 7.5
Width = (x-3) = 3.5 - 3 = 0.5
The box's dimensions are 7.5 m by 0.5 m by 4.5 m.
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The following histogram.shows the scores for a recent biology test in Mr. Ruppert’s class. Between what interval is the median most likely to fall?
A between 70 and 80
B between 60 and 80
C between 80 and 90
D between 80 and 100
Can I get the answer?
Answer:1 by the 2
Step-by-step explanation:Good job
For each of the following functions, write the formula for the function's inverse. a. f(x) = 0.7%^x where y = f(x). f-'(y) = b. f(x) = 4.5(2.7)^x where y = f(x).
f-'(y) =
The formula for the function's inverse is
(a) f⁻¹(y) = Iny/In(0.7)
(b) f⁻¹(y) = [Iny - In(4.5)]/In(2.7)
(a) The function is;
f(x) = 0.7ˣ where y = f(x).
So y = 0.7ˣ
Taking In on both side,
Iny = x In(0.7)
Divide by In(0.7) on both side, we get
x = Iny/In(0.7)
f⁻¹(y) = Iny/In(0.7)
(b) The function is;
f(x) = 4.5(2.7)ˣ where y = f(x).
So y = 4.5(2.7)ˣ
Divide by 4.5 on both side, we get
y/4.5 = (2.7)ˣ
Taking In on both side,
In(y/4.5) = In(2.7)ˣ
Iny - In(4.5) = xIn(2.7)
Divide by In(2.7) on both side, we get
x = [Iny - In(4.5)]/In(2.7)
f⁻¹(y) = [Iny - In(4.5)]/In(2.7)
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The complete question is:
For each of the following functions, write the formula for the function's inverse.
a. f(x) = 0.7ˣ where y = f(x).
f⁻¹(y) =
b. f(x) = 4.5(2.7)ˣ where y = f(x).
f⁻¹(y) =
y’all i’m stuck on this problem i don’t know what equations belong to the graph
Answer:
5x-2y=7
Step-by-step explanation:
Here's a tip: The subtraction symbol in the equation indicates that the line on the graph is slanted to the right; /
And an addition symbol in an equation like this indicates that the line on the graph is slanted to the left; \
This tip will make better sense with simple equations like the ones in the picture or y = mx+b equations.
Answer:
5x-2y=7
Step-by-step explanation:
5x-2y=7
when x=0,then -2y=7, y=-7/2
when y=0, 5x=7, x=7/5
Explain how you divide a fraction by another fraction?
Answer:lets say the fraction is 3/4÷4/6 you would need to find the common denominator.To do that you would list the common factors which is 12 because 4×3 equals 12 and 6×2 equals 12. So then you fraction becomes 3/12÷4/12 now all you have to do is divide the numerator.So you divide 4÷3 which is 1 so your fraction becomes 1/12
Step-by-step explanation:
Answer:
3/6 ÷ 4/8 =24/24 24/24 is also equal to 1 whole
Step-by-step explanation:
First you need to change the division symbol into a mutliplication symbol.Then theres a method called KCP (Keep Change Flip).
Keep:Keep the 3/6Change:Change ÷ into ×Flip:Flip 4/8 to 8/4 Next the problem should look like this: 3/6 × 8/4Then after that try to see if you can cross multiply(if you cant thats fine)Then multiply the fractions,when you do that you should get 24/24To make it easy you should simplify it,and when you simplify it you should get 1.100 points! Mhanifa can you please help? Look at the picture attached. I will mark brainliest!
Answer:
1 and 2.
Midpoints calculated, plotted and connected to make the triangle DEF, see the attached.
D= (-2, 2), E = (-1, -2), F = (-4, -1)3.
As per definition, midsegment is parallel to a side.
Parallel lines have same slope.
Find slopes of FD and CB and compare.
m(FD) = (2 - (-1))/(-2 -(-4)) = 3/2m(CB) = (1 - (-5))/(1 - (-3)) = 6/4 = 3/2As we see the slopes are sameFind the slopes of FE and AB and compare.
m(FE) = (-2 - (- 1))/(-1 - (-4)) = -1/3m(AB) = (1 - 3)/(1 - (-5)) = -2/6 = -1/3Slopes are sameFind the slopes of DE and AC and compare.
m(DE) = (-2 - 2)/(-1 - (-2)) = -4/1 = -4m(AC) = (-5 - 3)/(-3 - (-5)) = -8/2 = -4Slopes are same4.
As per definition, midsegment is half the parallel side.
We'll show that FD = 1/2CB
FD = \(\sqrt{(2+1)^2+(-2+4)^2}\) = \(\sqrt{3^2+2^2}\) = \(\sqrt{13}\)CB = \(\sqrt{(1 + 5)^2+(1+3)^2}\) = \(\sqrt{6^2+4^2}\) = 2\(\sqrt{13}\)As we see FD = 1/2CBFE = 1/2AB
FE = \(\sqrt{(-4+1)^2+(-1+2)^2}\) = \(\sqrt{3^2+1^2}\) = \(\sqrt{10}\)AB = \(\sqrt{(-5 -1)^2+(3-1)^2}\) = \(\sqrt{6^2+2^2}\) = 2\(\sqrt{10}\)As we see FE = 1/2ABDE = 1/2AC
DE = \(\sqrt{(-2+1)^2+(2+2)^2}\) = \(\sqrt{1^2+4^2}\) = \(\sqrt{17}\)AC = \(\sqrt{(-5 +3)^2+(3+5)^2}\) = \(\sqrt{2^2+8^2}\) = 2\(\sqrt{17}\)As we see DE = 1/2AC
lou gehrig's disease is autosomal recessive disease. if a woman and her husband are both carriers, what is the probability that their first child will be a phenotypically normal girl?
The probability that their first child will be a phenotypically normal girl is 3/8 or 37.5%.
Lou Gehrig's disease, also known as amyotrophic lateral sclerosis (ALS), is typically considered as an autosomal recessive disease. This means that both copies of the gene responsible for the disease need to be inherited, one from each parent, in order for an individual to be affected by the disease.
Given that the woman and her husband are both carriers of the disease, they each have one copy of the mutated gene and one normal gene. The probability of passing on the mutated gene to their child is 1/2 for each parent since they are carriers.
To determine the probability of their first child being a phenotypically normal girl, we need to consider the inheritance pattern. Let's break it down:
Gender: The probability of having a girl is 1/2, as gender is determined by the combination of the father's sperm (containing either an X or a Y chromosome) and the mother's egg (containing an X chromosome).
Phenotypically normal: For the child to be phenotypically normal, they should inherit at least one normal gene from either parent. The probability of inheriting a normal gene from the mother is 1/2, and the same probability applies for inheriting a normal gene from the father.
Independence: The probability of having a girl and inheriting a normal gene are independent events, so we can multiply their individual probabilities to calculate the combined probability.
Therefore, the probability of having a phenotypically normal girl is:
Probability of being a girl × Probability of inheriting a normal gene
= (1/2) × (1/2)
= 1/4
However, we also need to consider the possibility of having a boy. The probability of having a phenotypically normal boy is also 1/4.
Adding the probabilities of having a phenotypically normal girl and a phenotypically normal boy, we get:
1/4 + 1/4 = 2/4 = 1/2
Since the question specifically asks for the probability of having a phenotypically normal girl, we divide the probability of a phenotypically normal girl by the total probability of having a child:
(1/4) / (1/2) = 1/4 * 2/1 = 1/2 = 2/4 = 1/2
Therefore, the probability that their first child will be a phenotypically normal girl is 1/2 or 50%.
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the superintendent of a school district must decide whether to hire additional teachers. if she hires the teachers, the student-teacher ratio will drop by 2, and student performance will improve. under the assumption that student performance is measured by a test score, she estimated a regression model using the test score as the dependent variable, and the student-teacher ratio as the independent variable. the intercept and the coefficient are estimated to be 800 and -8, respectively. if she hires additional teachers to reduce the ratio by 2, what would be its predicted effect on the test score? a. the test score will decrease by 800 points. b. the test score will increase by 792 points. c. the test score will increase by 8 points. d. the test score will increase by 16 points. e. the test score will decrease by 8 points.
We are given a regression model: test score = 800 - 8(student-teacher ratio)
If the student-teacher ratio drops by 2, then the new ratio is (old ratio - 2).
So, the new predicted test score is:
test score = 800 - 8(new ratio)
= 800 - 8(old ratio + (-2))
= 800 - 8(old ratio) - 8(-2)
= 800 - 8(old ratio) + 16
Therefore, the predicted effect on the test score is an increase of 16 points.
So, the answer is (d) the test score will increase by 16 points.
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Grace has a segment with endpoints C (3, 4) and D (11, 3) that is divided by a point E such that CE and DE form a 3:5 ratio. She knows the distance between the x coordinates is 8 units. Which of the following fractions will let her find the x coordinate for point E?
The value of x coordinate for point E is,
⇒ x = 6
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
Grace has a segment with endpoints C (3, 4) and D (11, 3)
And, It is divided by a point E such that CE and DE form a 3:5 ratio.
Hence, We get;
The coordinates of E is,
E = [ ( 3× 11 + 5 × 3)/(3 + 5) , (3×3 + 5 × 4)/(3 + 5) ]
= [ (33 + 15)/8 , (9 + 20)/8 ]
= *(48/8 , 29/8)
= (6 , 3.625)
Thus, The value of x coordinate for point E is,
⇒ x = 6
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An independent set in a graph is a set of vertices S⊆V that contains no edge (so no pair of neighboring vertices is included). The max independent set problem is to find an independent set of maximum size in a graph G. (a) Write the max independent set problem as an integer linear program. (b) Write an LP relaxation for the max independent set problem. (c) Construct an example (a family of graphs) to show that the ratio LP-OPT / OPT can be at least cn where c>0 is some absolute constant and n is the number of vertices of the graph. (d) What is the (exact) relation between the size of a max independent set and the size of min vertex cover of a graph? (e) Using this relation, what does the 2-approximation algorithm for vertex cover imply for an approximation algorithm for max independent set?
The independent set in a graph is a set of vertices that contain no edges. So, no neighboring vertices are included. The max independent set problem is to get an independent set of maximum size in graph G.
The solution for this question is discussed below:
a) The integer linear program for the max independent set problem is as follows:
maximize ∑x_i Subject to: x_i+x_j ≤ 1 {i,j} ∈ E;x_i ∈ {0, 1} ∀i. The variable x_i can represent whether the ith vertex is in the independent set. It can take on two values, either 0 or 1.
b) The LP relaxation for the max independent set problem is as follows:
Maximize ∑x_iSubject to:
xi+xj ≤ 1 ∀ {i, j} ∈ E;xi ≥ 0 ∀i. The variable xi can take on fractional values in the LP relaxation.
c) The family of graphs is as follows:
Consider a family of graphs G = (V, E) defined as follows. The vertex set V has n = 2^k vertices, where k is a positive integer. The set of edges E is defined as {uv:u, v ∈ {0, 1}^k and u≠v and u, v differ in precisely one coordinate}. It can be shown that the size of the max independent set is n/2. Using LP, the value can be determined. LP provides a value of approximately n/4. Therefore, the ratio LP-OPT/OPT is at least c/4. Therefore, the ratio is in for a constant c>0.
d) The size of a max-independent set is equivalent to the number of vertices minus the minimum vertex cover size.
e) The 2-approximation algorithm for vertex cover implies a 2-approximation algorithm for the max independent set.
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a point is chosen uniformly at random on a line segment of length l, dividing it into two segments. find the probability that the ratio of the shorter to the longer is less than 14.
The probability of the shorter segment being less than 14 times the longer segment is 1/15.
The line segment of length l can be divided into two segments of lengths x and y, such that x + y = l. Since the point is chosen at random, the probability of x being shorter than 14y is the same as the probability of y being longer than x/14. Since the point can be chosen anywhere along the line segment, the probability of the ratio of x to y being less than 14 is equal to the probability of x/y being less than 14, which is 1/15. Therefore, the probability of the ratio of the shorter to the longer segment being less than 14 is 1/15.
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Calculate the area and circumference of a circle with diameter 8cm explain by step by step
A line passes through the point (-8, 5) and has a slope of - 5/4.
Write an equation in slope-intercept form for this line.
Helpp
\(y=-\frac{5}{4}x -5\)Answer:
Step-by-step explanation:
Write an equation that represents the line.
Answer:
\(y = \frac{7}{5}x + 6.8 \)