Answer:
Step-by-step explanation:
IF it is a SYMMETRIC kite
CB = CD
x + 4 = 2x - 1
x - x + 4 + 1 = 2x - x - 1 + 1
5 = x
AB = AD
x + 3 = 3x - y
5 + 3 = 3(5) - y
8 = 15 - y
y = 7
The cost of renting a chain saw is $3.90 per hour plus $6.50 for a can of gas. Find the cost of using the chain saw for 7.5 hours.
Equation and Answer
Answer:
$35.75----------------------------
The total cost is the cost for a can of gas plus rental cost per number of hours.
So the total cost is:
6.50 + 7.5*3.90 = 6.50 + 29.25 = 35.75If there are 736 students in a school, prove that at least three students have a birthday on the same day of the year.
Step-by-step explanation:
736 / 365 = 2R6
So even if the first 365 students all have different birthdays, and the next 365 students also all have different birthdays, then there are 2 students for every birthday. The last 6 students therefore share a birthday with at least 2 other students. So there are at least 3 students who share a birthday.
Yes, we can prove that at least three students have a birthday on the same day of the year.
What is algebra?
Algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas.
We have,
Total number of students = 736
So,
In a year there are 365 days.
And we have 736 students,
So,
Two students have birthday on same day = 365 × 2 = 730
NOw,
Students left = 736 - 730 = 6
So,
These 6 Students share birthday with othe 6 Students .
So, yes there are at least three students who have a birthday on the same day of the year
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Evaluate the function for x = 2 and x = 6 f(x) = -(x - 2)
Answer:
f(2) = 0 and f(6) = -4
Step-by-step explanation:
First, find f(x) when x = 2
Plug in 2 as x in the function:
f(x) = -(x - 2)
f(2) = -(2 - 2)
f(2) = -(0)
f(2) = 0
Next, find f(x) when x = 6. Plug in 6 as x in the function:
f(x) = -(x - 2)
f(6) = -(6 - 2)
f(6) = -(4)
f(6) = -4
So, f(2) = 0 and f(6) = -4
What is -20/2(7 2/3)
The simplified form of -20/2(7 2/3) is -230/3.
To solve the expression -20/2(7 2/3), we need to follow the order of operations, which states that we should perform the operations inside parentheses first, then any multiplication or division from left to right, and finally any addition or subtraction from left to right.
First, let's convert the mixed number 7 2/3 to an improper fraction.
7 2/3 = (7 * 3 + 2) / 3 = 23/3
Now, let's substitute the value back into the expression:
-20/2 * (23/3)
Next, we simplify the multiplication:
-10 * (23/3)
To multiply a fraction by a whole number, we multiply the numerator by the whole number:
-10 * 23 / 3
Now, we perform the multiplication:
-230 / 3
Therefore, the simplified form of -20/2(7 2/3) is -230/3.
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Suppose the length and width of the box double. Does the surface area S double? Complete the explanation.
Help!
Is the following shape a right triangle? How do you know?
O A. No, there is no right angle.
O B. Yes, two sides are perpendicular, and the side lengths fit the
Pythagorean theorem.
O C. No, the side lengths do not fit the Pythagorean theorem.
O D. There is not enough information to determine.
Yes, two sides are perpendicular, and the side lengths fit the Pythagorean theorem. The correct answer is option B.
What is a right-angled triangle?A right triangle is a triangle in which one of the angles is at a right angle or two of the sides are perpendicular, or more formally, an orthogonal triangle, formerly known as a rectangle triangle.
In the given figure two sides are perpendicular, and the side lengths fit the Pythagorean theorem. the figure is a right-angled triangle.
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What is the premium for $75,000 for a 33 year old female, for a 20-year policy?
A) $286.50
B) $587.25
C) $594.75
D) $1415.25
The annual premium for the lifetime insurance based on the stated conditions is $594.75
What is the annual premium?The annual premium represents the periodic payment that the insured is expected to pay to the insurance company for an insurance policy contract.
Using the table which gives the annual premium per $1000; the premium paid annually by the 33-year-old male is $594.75
The total annual premium = $75000
Using the data in the table :
Annual premium per $1000 of coverage for a 33-year-old male with a 20 - years life insurance policy = $7.93
The annual premium for $75,000 ;
Premium per $1000 × ($75000/$1000)
Annual premium = $7.93 × ($75,000/1000)
Annual premium = $7.93 × 75 = $594.75
Therefore, the annual premium for the lifetime insurance based on the stated conditions is $594.75
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Please help I’ll mark you as brainliest if correct
You estimate that there 75 marbles in a jar.the actual amount is 82 marbles. Find the percent error. Round to the nearest tenth
Answer:
7.3%
Step-by-step explanation:
Percent error can be calculated using the formula:
percent error = (|estimated value - actual value| / actual value) x 100
Plugging in the values for the given scenario:
percent error = (|75 - 82| / 82) x 100 = 7.32 x 100 = 732%
Rounding to the nearest tenth:
percent error = 732% = 7.3%
Please help I don’t understand it
What is the value of pie in fraction
Answer:
22/7 is the value of pie in fraction
Answer:
Value of pi in fraction is \(\large{\sf{\frac{22}{7}}}\)
Which graph shows a rate of change 1/2 between -4 and 0 the x-axis
I'm in the test and need help please
Graph the solution to the following linear Inequality
Question 1 of 10
Solve the rational equation:
2x/ x - 3 = 3x/ x - 2
Using the graph determine the coordinates of the zeros of the parabola
Answer:
-5 and -The zeros of a parabola are the points on the parabola that intersect the line y = 0 (the horizontal x-axis). Since these points occur where y = 0,
solve pls brainliest
Answer:
Mixed number: 5(1/10)
Improper fraction: (51/10)
Step-by-step explanation:
Hope this helps!
Answer:
Mixed number: 5 1/10 and improper fraction: 52/10
Consider a game where two players take turns removing either 1 or 2 tokens from a pile of n tokens. The player who removes the last token wins. For which values of n does the first player have a winning strategy?
This problem involves analyzing patterns and making conjectures based on observations. It requires a deep understanding of game theory and combinatorial analysis to determine the winning strategy.
Answer:
To determine the winning strategy for the first player in this game, we can start by looking at small values of n and see if we can identify a pattern.
For n = 1, the first player must remove the only token, so they win.
For n = 2, the first player can remove one token and win, or they can remove two tokens and lose.
For n = 3, the first player can remove one token, leaving two tokens for the second player, who will then be forced to lose.
For n = 4, the first player can remove two tokens, leaving two tokens for the second player, who will then be forced to lose.
Based on these observations, it seems that if n is a multiple of 3, the first player has a winning strategy. To see why this is the case, we can use mathematical induction.
Assume that if n is a multiple of 3, the first player has a winning strategy. We want to show that if n+1 is a multiple of 3, the first player also has a winning strategy.
If n+1 is a multiple of 3, we can write n+1 = 3k+1 for some integer k.
If the first player removes one token, there will be n tokens left, and the second player will be in a losing position by our assumption.
If the first player removes two tokens, there will be n-1 tokens left. If the second player removes one token, there will be n-2 tokens left, and the first player will be in a winning position by our assumption. If the second player removes two tokens, there will be n-3 tokens left, and the first player can remove one token, leaving n-4 tokens for the second player. At this point, the second player will be in a losing position by our assumption.
Therefore, we have shown that if n is a multiple of 3, the first player has a winning strategy, and this strategy can be described as follows:
If n is already a multiple of 3, remove one token.
If n is not a multiple of 3, remove two tokens if possible, otherwise remove one token.
We can also observe that if n is not a multiple of 3, the second player has a winning strategy.
Step-by-step explanation:
Sara's grades are 78, 72, 66, 80, and 84. Sara decides to study hard for the final. Her score is 100. As an outlier, how does
100 affect the mean of Sara's previous scores? Assume all scores are treated equally.
A)
The outlier did not affect the mean.
B)
The outlier raised the mean by 4 points.
C)
The outlier lowered the mean by 2 points.
D)
The outlier raised the mean by 2 points.
Answer:
B
Step-by-step explanation:
The Mean(Average) of 78+72+66+80+84 is 76 because (78+72+66+80+84)/5* and (78+72+66+80+84+100)/6* is 80.
*You get this number by counting the number of numbers you entered (78+72+66+80+84) there are 5 numbers.
A package contains 20 golf balls. The total
weight of the golf balls is 32 ounces. Use the
model to show the number of ounces per
golf ball and the number of golf balls per
ounce. Write your answers in the blanks.
Answer: 1.6
Step-by-step explanation:
each golf is 1.6 ounces and you 20 golf balls in order to reach 32 ounces
Answer:
shown below
Step-by-step explanation:
golf balls per ounce = 5/8 or 0.625
ounces per gold ball = 8/5 or 1.6
a shop sells on average 250 can's of juice a day there are 25500 cans in stock how many days will these stocks last
If a shop sells on average 250 can's of juice a day and there are 25500 cans, these stocks last for 102 days
A shop sells on average 250 can's of juice a day, it has, it has 25500 cans in stock. We need to find the number of days these stocks will last.
The number of days can be found by using unitary method
1 can of juice is being sold in 1/250 day
25500 can of juice will be sold in 1/250 (25500)
25500 can of juice will be sold in 102 days
Therefore, if a shop sells on average 250 can's of juice a day and there are 25500 cans, these stocks last for 102 days.
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Which equation can be used to find the area of the blue triangle?
A) A=2(7)(12)
B) A= 1/2 (7)(12)
C)A=2(7²)(12²)
D)A= 1/2(7²)(12²)
Answer:
The answer is D. A=1/2(7 to the power of 2) 12 to the power of 2)
Step-by-step explanation:
Which CANNOT be the third side of a triangle if the two sides measure 10 cm and 32 cm ?
A.
32 cm
B.
33 cm
C.
44 cm
D.
40 cm
\(\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}\)
The Length of the third side of a triangle shouldn't be greater than the some of other two sides,
So, let the side be x
\(\qquad \sf \dashrightarrow \: x < 32 + 10\)
\(\qquad \sf \dashrightarrow \: x < 42\)
And hence, the third side should be less than 42 cm, therefore the only option that doesn't satisfy the condition is option D
Therefore, 44 cm can't be a side of that Triangle.
5 TANE BİLEŞİK KESİR VE 5 TANE BASİT KESİR:Acil!!
Answer:
çoook yardım etmek isterdim ama biz kesirlerde bu konuyu daha işlemedik çok özür dilerim
if h(x) =x+2/x-2, then dy/dx= ?
Answer: To find the derivative of the function h(x), we can use the quotient rule, which states that if f(x) = u(x) / v(x), then f'(x) = [v(x)u'(x) - u(x)v'(x)] / [v(x)]^2.
Using this rule, we can find the derivative of h(x) as follows:
h(x) = (x + 2) / (x - 2)
h'(x) = [(x - 2)(1) - (x + 2)(1)] / (x - 2)^2 // apply the quotient rule and differentiate numerator and denominator
h'(x) = (-2 - 2x) / (x - 2)^2
Therefore, the derivative of h(x) is h'(x) = (-2 - 2x) / (x - 2)^2.
Step-by-step explanation:
A group decides to go white-water rafting on a river. The map they have of the river has the scale 3 inches:8 miles. On the map, the distance between the start point and the end point of their trip is 60 inches. What is the actual distance?
The actual distance is 160 miles.
What is a representative fraction?A representative fraction is a scale that can be used to either increase or decrease the size of length of a given object. It can be expressed as:
Representative fraction = length on drawing/ actual length
Given that the map of the river has a scale of 3 inches: 8 miles. Let the actual distance be represented by x. It can be deduced that;
3 inches/ 8 miles = 60 inches/ x
make x the subject of the formula, we have;
x = (8 miles * 60 inches)/ 3 inches
= 8 miles * 20
= 160 miles
x = 160 miles
Therefore, the actual distance is 160 miles.
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Y=1/2x +6 y=2x what is the solution to the system
Answer:
x=4 and y=8
Step-by-step explanation:
What is a correct definition of P-value?
p-value is a measure of the probability that an observed difference could have occurred just by random chance.
Find the slope of any line perpendicular to
the line through M(-1,5) and N(0.-3).
Answer:
1/8
Step-by-step explanation:
We want to find the slope of any line that is perpendicular to the line passing through the points M(-1, 5) and N(0, -3).
Recall that the slopes of perpendicular lines are negative reciprocals of each other. In other words, the slope of any line perpendicular to line MN must be the negative reciprocal of the slope of line MN.
Find the slope of MN using the slope formula:
\(\displaystyle m_{MN} = \frac{\Delta y}{\Delta x} = \frac{(-3)-(5)}{(0)-(-1)} = \frac{-8}{1}=-8\)
So, the slope of line MN is -8.
The slope of any line perpendicular to MN must be its negative reciprocal. The negative reciprocal of -8 is 1/8.
Therefore, the slope of any line perpendicular to the line passing through the points M(-1, 5) and N(0, -3) is 1/8.
The number of men and women receiving bachelor's degrees each year has been steadily increasing. For the years 1970 through the projection of 2014, the number of men receiving degrees (in thousands) is given by the equation y = 3.9x + 449 and for women, the equation is y = 14.1x + 312 where x is the number of years after 1970.
An Internet provider is trying to gain advertising deals and claims that the mean time online per day is than minutes. You are asked to test this claim.
(a) How would you write the null and alternative hypotheses if you represent the Internet provider and want to support the claim?
(b) How would you write the null and alternative hypotheses if you represent a competing advertiser and want to reject the claim?
a. Null hypothesis (H0): The mean time online per day is 30 minutes or more.
Alternative hypothesis (Ha): The mean time online per day is less than or equal to 30 minutes.
b. Null hypothesis (H0): The mean time online per day is less than or equal to 30 minutes.
Alternative hypothesis (Ha): The mean time online per day is more than 30 minutes.
What is null hypothesis?A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.
A type of statistical hypothesis known as a "null hypothesis" makes the case that a given set of observations does not have any statistical significance.
a) The following is how you can write the null and alternative hypotheses if you are the Internet service provider and want to back up your claim that people spend less than 30 minutes online on average per day:
Null hypothesis (H0): The mean time online per day is 30 minutes or more.
Alternative hypothesis (Ha): The mean time online per day is less than or equal to 30 minutes.
(b)If you address a contending promoter and need to dismiss the case that the interim online each day is not exactly or equivalent to 30 minutes, the invalid and elective speculations can be composed as follows:
Null hypothesis (H0): The mean time online per day is less than or equal to 30 minutes.
Alternative hypothesis (Ha): The mean time online per day is more than 30 minutes.
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