Answer:
B. Reflection over the x-axis
Answer:
Rotation over the x axis
Step-by-step explanation:
AP3x
Triangle BKN is shown, where point H is the incenter, m
The measures are m ∠RBM = 52.2°, m ∠WNH = 23.5° and m ∠WKH = 80.8°
Given that a triangle BKN, and H is the incenter of the triangle, we need to find the missing measures,
We know that the incenter of a triangle is the point where the angle bisectors meet,
So, we can say, BW, MN and RK are the angle bisectors.
So, using the property of angle bisectors, we have,
1) m ∠RBM = 2 × ∠RBH
m ∠RBM = 52.2°
2) m ∠WNH = ∠WNR / 2
m ∠WNH = 23.5°
3) m ∠WKH = 2 × ∠MKH
m ∠WKH = 80.8°
Hence the measures are m ∠RBM = 52.2°, m ∠WNH = 23.5° and m ∠WKH = 80.8°
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what is 210900 times 234546
Answer:
49465751400
Step-by-step explanation:
Consider the triangle shown in the diagram
8
60°
75°
Choose 2 reasons why x = 135°
a. The two remote interior angles add up to 135º.
b.
triangle is 180°. Xº = 135° because it is
supplementary to
c.
Therefore x°= 135º.
d. x° and
Answer:
the 2 are letters a and b
which of the fallowing represents a constant from the explosion given ?
The constant in the given expression is
C. 9
What is a constant in a mathematical expression?In a mathematical expression, a constant is a value that does not change and remains the same throughout the expression or equation.
It is a fixed numerical value, coefficient, or term that is independent of the variable(s) in the expression.
For example, in the expression 15x^2 + 2x + 9, the constant is 9, as it remains the same regardless of the value of x.
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Ethan needs to run 27 feet to make a touchdown. How many yards must he get in
order to score? Give only the number of yards Ethan needs.
Answer:
9 yards
Step-by-step explanation:
Answer: 9 Yards
explanation: 1 Foot = 0.33333333 Yard and one third of 27 is equal to nine.
Marie bought One-half gallon of milk, which she finished after 6 days. If she drank the same amount of milk each day, how many gallons a day did she drink?
Answer:
\(\dfrac{1}{12}$ gallons\)
Step-by-step explanation:
\(M$arie bought $ \dfrac{1}{2}$ gallon of milk\)
She exhausted the half gallon in 6 days.
Since she takes equal amount of milk per day
Her Unit Rate of Milk Consumption
\(=\dfrac{1}{2}\div 6\\ =\dfrac{1}{12}$ gallons per day\)
Marie drinks \(\dfrac{1}{12}\) gallons of milk per day.
Answer: 1/12
Step-by-step explanation:
Write twenty-eight is less than forty with numbers and a comparison symbol.
Using numbers and a comparison symbol the inequality that can be written for the phrase stated is: 28 < 40.
How to Write Inequality as a Comparison Symbol?Inequality is a mathematical statement that compares two quantities that are not equal. Comparison symbol that can be used are:
"Less than" which is represented as "<"
"Greater than" which is represented as ">"
"Less than or equal to", which is represented as "≤"
"Greater than or equal to" which is represented as "≥".
Thus, we have the following:
Twenty-eight is 28
Forty is 40
Thus, using numbers and a comparison symbol the inequality that can be written for the phrase stated is: 28 < 40.
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This year 20% of city employees ride the bus to work. Last year only 18% of city employees rode the bus to work. a. Find the absolute change in city employees who ride the bus to work. b. Use the absolute change in a meaningful sentence. c. Find the relative change in city employees who ride the bus to work. Round to whole number percent. d. Use the relative change in a meaningful sentence.
a. The absolute change in city employees who ride the bus to work is 2%.
b. The relative change in city employees who ride the bus to work is approximately 11%.
c. The relative change in city employees who ride the bus to work is approximately 11%.
d. The relative change of around 11% indicates an increase in the proportion of city employees riding the bus to work compared to last year.
a. The absolute change in city employees who ride the bus to work can be calculated as the difference between this year's percentage (20%) and last year's percentage (18%):
Absolute change = 20% - 18% = 2%
b. The absolute change of 2% indicates that the number of city employees riding the bus to work has increased by 2 percentage points compared to last year.
c. The relative change in city employees who ride the bus to work can be calculated as the absolute change divided by the previous year's percentage, multiplied by 100:
Relative change = (Absolute change / Previous year's percentage) * 100
Relative change = (2% / 18%) * 100 ≈ 11%
d. The relative change of approximately 11% implies that the proportion of city employees riding the bus to work has increased by around 11% compared to last year.
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Find the equilibrium point. Then find the consumer and producer surplus. 14) D(x) = - 3x + 6, S(x) = 3x + 2
To find the equilibrium point, we need to set the demand (D(x)) equal to the supply (S(x)):
\(-3x + 6 = 3x + 2\)
Now, let's solve for x:
\(-3x - 3x = 2 - 6\)
\(-6x = -4\\x = (-4) / (-6)\\x = 2/3\)
Therefore, the equilibrium point is x = 2/3.
To find the consumer surplus, we need to calculate the area between the demand curve and the equilibrium quantity.
Consumer Surplus = \(∫[0, 2/3] (D(x) - P) dx\)
Since the price (P) is not given, we cannot calculate the exact consumer surplus without additional information.
Similarly, to find the producer surplus, we need to calculate the area between the supply curve and the equilibrium quantity.
Producer Surplus =\(∫[0, 2/3] (P - S(x)) dx\)
Without knowing the price (P), we cannot calculate the exact producer surplus either.
Please provide the price (P) in order to calculate the consumer and producer surplus accurately.
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Someone help worth 5 points please help!
Answer:
10
Step-by-step explanation:
What is the length of side bd?
b
13 cm
a
d
C
10 cm
Answer:
12cm
Step-by-step explanation:
bc= 13cm (c) hypotenuse is always c
dc= 10÷2. (b)/(a) it can be a or b, any also long it's not the hypotenuse
= 5cm
bd= use phytagoras theorem formula
c²=a²+b²
13²=5²+b²
169=25+b²
169-25=b²
144=b²
b=
\( \sqrt{144} \)
b=12
bd=12cm
Question 6 of 10
What happens to a line when the y-intercept is changed? Check all that apply.
A. As the y-intercept decreases, the graph of the line shifts left.
B. As the y-intercept increases, the graph of the line shifts up.
O c. As the y-intercept decreases, the graph of the line shifts down.
D. As the y-intercept increases, the graph of the line shifts right.
E. As the y-intercept increases, the graph of the line gets steeper.
Find the numerical value of each expression. (Round your answers to five decimal places.)
(a) tanh(0)
(b) tanh(1)
The trigonometry numerical value of each expression,
(a) tanh(0) = 0
(b) tanh(1) = 0.76159
The hyperbolic tangent function is defined as the ratio of the hyperbolic sine to the hyperbolic cosine. Using this definition and the properties of hyperbolic functions, we were able to evaluate the given expressions and find their numerical values.
(a) tanh(0) = sinh(0)/cosh(0) = 0/1 = 0
(b) tanh(1) = sinh(1)/cosh(1) ≈ 0.76159
To find the value of tanh(1), we use the formula for hyperbolic sine and cosine:
sinh(x) = (\(e^x\) - \(e^{(-x)\))/2
cosh(x) = (\(e^x\) + \(e^{(-x)}\))/2
Substituting x = 1, we get:
sinh(1) = (e - \(e^{(-1)}\))/2 ≈ 1.1752
cosh(1) = (e + \(e^{(-1)}\))/2 ≈ 1.5431
Thus, tanh(1) = sinh(1)/cosh(1) ≈ 0.76159, rounded to five decimal places.
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one day eight babies are born at a hospital assuming each baby has an equal chance of being a boy or girl what is the probability that exactly six of the eight babies are girls
The probability that exactly six out of the eight babies are girls is approximately 0.109375, or 10.9375%.
To calculate the probability that exactly six of the eight babies are girls, we can use the binomial probability formula.
The binomial probability formula is given by:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
P(X = k) is the probability of getting exactly k successes (in this case, girls)
C(n, k) is the number of combinations (ways) to choose k successes from n trials
p is the probability of success in a single trial (in this case, the probability of having a girl)
n is the total number of trials (in this case, the number of babies)
In this scenario, we want to find the probability that exactly six out of the eight babies are girls. Assuming each baby has an equal chance of being a boy or a girl, the probability of having a girl is 0.5 (or 1/2).
Using the binomial probability formula, we can calculate:
P(X = 6) = C(8, 6) * (0.5)^6 * (1 - 0.5)^(8 - 6)
C(8, 6) represents the number of ways to choose 6 girls out of 8 babies, which is given by the binomial coefficient:
C(8, 6) = 8! / (6! * (8-6)!)
= 8! / (6! * 2!)
= (8 * 7) / (2 * 1)
= 28
Substituting the values into the formula:
P(X = 6) = 28 * (0.5)^6 * (0.5)^2
= 28 * (0.5)^8
= 0.109375
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Simplify the following expression: 3x - 8y + 2x² + 3y - 8x
Answer: Here you go!
Step-by-step explanation:
The simplified expression of given expression 3x - 8y + 2x² + 3y - 8x is -5x + 2x² - 5y.
Here are the steps on how to simplify the expression:
Combine the terms that have the same variable.
3x + (-8x) = -5x
2x² + 0 = 2x²
-8y + 3y = -5y
Combine the constant terms.
-5x + 2x² - 5y = -5x + 2x² - 5y
The simplified expression is -5x + 2x² - 5y.
Here is the explanation:
We combined the terms that have the same variable by adding or subtracting the coefficients.
We combined the constant terms by adding or subtracting the constants.
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Remember the Great Toilet Paper Shortage of 2020? Most stores have
finally restocked. Charmin makes a pack of TP with 2^4 rolls in it. Each roll
has 2^10 individual sheets. Wegman's has a shelf with 2^6 packages on it.
How many sheets are there on that shelf? Final answer must be left in
exponential form. Show the process but not the calculations - unless you
want to but sometimes less is more
Answer:
2^16 or 65,536
Step-by-step explanation:
First, you'll find the answers to 2^6 and 2^10
2^6=64 while 2^10=1024, then you multiply 1024 by 64 which gives you 65,536.
**or, the easier way is to just add the two exponents together since you see that the bases are the same.
the ph measurements of water specimens from various locations along a given river basin are normally distributed with mean 8 and standard deviation 0.3. what is the approximate probability that the ph measurement of a randomly selected water specimen is greater than 8.2?
The probability that ph measurement of a randomly selected water is greater than 8.2 is 0.25239.
What is probability?
Probability is a measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can predict only the chance of an event to occur i.e., how likely they are going to happen, using it. Probability can range from 0 to 1, where 0 means the event to be an impossible one and 1 indicates a certain event.
What is standard deviation?
Standard Deviation is a measure which shows how much variation (such as spread, dispersion, spread,) from the mean exists. The standard deviation indicates a “typical” deviation from the mean. It is a popular measure of variability because it returns to the original units of measure of the data set.
Given,
mean = 8
standard deviation = 0.3
To find P(X<8.2)
P(X<8.2) =P(\(\frac{X-mean}{standard devaition}\)> \(\frac{8.2-8}{0.3}\))
= P (Z> 0.667)
=0.25239.
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Please help I have a learning disablity and need help with this.
Use Distribute Property to rewrite the algebraic expression.
5(x - 10)
Answer here _________
The value of the expression using the distributive property is 5x + 50.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
5 (x - 10)
The distributive property of multiplication over addition states that,
a x (b + c) = a x b + a x c
Now,
5 (x - 10)
= 5x + 5 x 10
= 5x + 50
Thus,
The expresssion is 5x + 10
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If the surface area of a cube is 150 cm², what is the volume of the cube?
A)
125 cm3
B)
150 cm3
C)
175 cm3
D)
225 cm3
Answer:125
Step-by-step explanation:
There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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What is 2/5 as a decimal?
Answer:
The answer to this question is --> 0.40
Step-by-step explanation:
simply do the division.
as a fraction is basically nothing else than a division of the upper number by the lower number.
2 divided by 5
2/5 = 0.4
remember, how division works :
first the outmost left digit(s) divided by the digits of the right number. we use the same number of digits on both sides.
2 / 5 = 0
the first step gives us a 0, because 2 cannot be divided by 5.
then we pull down the next digit from the left side.
if we don't have any (as in this case), we simply pull a 0.
20 / 5 = 0.4
when we pull digits on the left side after the decimal point, then the result gets the decimal point exactly at that position.
20/5 = 4, so the 4 goes into the first position after the decimal point.
and therefore, the final result is
2/5 = 0.4
The appropriate discount rate for the following cash flows is 12 percent compounded quarterly. Year Cash Flow 1 $ 800 2 500 3 0 4 1,100 What is the present value of the cash flows
The present value of the cash flows is approximately $1,586.2.
The appropriate discount rate for the given cash flows is 12 percent compounded quarterly. The cash flows and their respective years are as follows:
Year 1 Cash flow = $800
Year 2 Cash flow = $500
Year 3 Cash flow = $0
Year 4 Cash flow = $1,100
To find the present value of these cash flows, we can use the present value formula:
Present value = Cash flow / (1 + r/n)^(n*t)
Where:
r = Rate of interest
n = Number of times compounded annually
t = Number of years
Cash Flow 1:
The present value of Cash flow 1 is given by:
PV1 = $800 / (1 + 0.12/4)^(1*4)
PV1 = $800 / (1.03)^4
PV1 = $626.31 (approx)
Cash Flow 2:
The present value of Cash flow 2 is given by:
PV2 = $500 / (1 + 0.12/4)^(2*4)
PV2 = $500 / (1.03)^8
PV2 = $348.56 (approx)
Cash Flow 3:
The present value of Cash flow 3 is given by:
PV3 = $0 / (1 + 0.12/4)^(3*4)
PV3 = $0 / (1.03)^12
PV3 = $0 (approx)
Cash Flow 4:
The present value of Cash flow 4 is given by:
PV4 = $1,100 / (1 + 0.12/4)^(4*4)
PV4 = $1,100 / (1.03)^16
PV4 = $611.33 (approx)
Hence, the total present value of the given cash flows is:
PV = $626.31 + $348.56 + $0 + $611.33
PV = $1,586.2
Thus, the present value of the cash flows is approximately $1,586.2.
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the side lengths of a triangle are 10,26 and 24 which one is the hypotenuse
a.24
b.26
c.10
d.50
The hypotenuse is the longer of the 3 sides:
answer: b.26
Answer:
\(\huge\boxed{\bf\: b. \: 26 \rightarrow hypotenuse }\)
Step-by-step explanation:
Consider a right angled triangle with sides as 10, 26 & 24 units.
Here, we need to find the hypotenuse of the triangle.
The hyptenuse is the side which is opposite to the right angle (90°) & is also the longest side of the triangle.
Then, among the given values, we can clearly say that 26 > 10, 24.
Therefore, \(\boxed{\bf\: 26 \: units }\) is the hypotenuse of the triangle with side lengths as 10, 26, 24 units.
\(\rule{150pt}{2pt}\)
Given log_5 2≈0.4308 and log_527≈2.0478, evaluate the expressions. Note: you must use the given values and not values obtained from a calculator for those logarithms.
log_5 3
log_5 (27/50)
The solutions to the logarithm equations are;
1) Log₅3 = 0.6826
2) Log₅(27/50) = -0.383
How to solve logarithm Equations?
There are different rules of logarithm such as;
Product rule which is; Log a + Log b = Log (ab)
Quotient rule which is; Log a - Log b = Log(a/b)
Power rule which is; Log aˣ = x log a
We are given that;
Log₅2 = 0.4308
Log₅27 = 2.0478
We know that 27 = 3³. Thus;
Log₅27 = Log₅3³
Using power rule, we have;
Log₅3³ = 3Log₅3
Thus;
Log₅27 = 3Log₅3 = 2.0478
1) We want to solve Log₅3
We have;
3Log₅3 = 2.0478
Thus;
Log₅3 = 2.0478/3 = 0.6826
2) Log₅(27/50)
Using quotient rule, we have;
Log₅27 - Log₅50
This can also be expressed as;
Log₅3³ - Log₅ (25 * 2)
= 3Log₅3 - [2Log₅5 + Log₅2]
= 2.0478 - 2 - 0.4308
= -0.383
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An insurance company is insuring a person's coin collection worth $20,000 for an annual premium of $300. If the company figures that the probability of the collection being stolen is 0.002, what will be the insurance company's expected profit
The insurance company's expected profit from insuring this person's coin collection is $260.
The insurance company's expected profit can be calculated using the terms: coin collection value, annual premium, and probability of theft. In this case, the coin collection is worth $20,000, the annual premium is $300, and the probability of theft is 0.002.
To find the expected profit, we first need to determine the expected loss, which is the product of the coin collection value and the probability of theft: $20,000 x 0.002 = $40. This means that, on average, the company expects to pay out $40 per year for potential theft claims.
Next, we compare the expected loss to the annual premium. The insurance company collects $300 from the policyholder each year as the annual premium. To find the expected profit, we subtract the expected loss from the annual premium: $300 - $40 = $260.
Therefore, the insurance company's expected profit for insuring the coin collection is $260 per year. This calculation assumes that the probability of theft remains constant and does not account for other factors, such as administrative expenses or changes in the collection's value.
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please help :) 1) Scientists develop knowledge by making blank about the natural world that may lead to a scientific question. 2) A scientific question may lead to a(n) blank , which can be tested. The results of blank can lead to changes in scientific knowledge.
Answer:
You just answered my question so you can ask yours, what a sped. Now i'm doing the same thing.
Step-by-step explanation:
Pls help it’s worth 20 points!!!
Answer:
sry
Step-by-step explanation:cry,sad,mad
la edad de Santiago excede en 13 años a la edad de Luis, y el doble de la edad de Luis excede en 29 años a la edad de Santiago ¿que edad tiene cada uno?
Answer:
Luis 19, Santiago 9
Step-by-step explanation:
\(L = S +10\\2L=S+29\)
Restamos a la segunda ecuación la primera ecuación:
\(L=19\)
Luis tiene 19 años
Para la edad de Santiago usamos la primera ecuación:
\(L=S+10\\19=S+10\)
\(S=19-10\\S=9\)
Santiago tiene 9 años
Hope this helps.
Which of the following lists of values contain rational numbers only?
Group of answer choices
90, -1.375 , π
−81−−−√,7√7√,4.16
28−−√,0,313
639,116−−√,50−−√
Answer:
90, -1.375 , π
Step-by-step explanation:
Write an equation in point-slope form that has a slope of 1/2 and goes through the point (-3, -5). a y - 3 = 1/2(x - 5) b y + 5 = 1/2(x + 3) c y - 5 = 1/2(x - 3) d y + 3 = 1/2(x + 5)
Answer:
b. y + 5 = 1/2(x + 3).
Step-by-step explanation:
The general point-slope form is:
y - y1 = m(x - x1) so here we have:
y - (-5)) = 1/2(x - (-3))
y + 5 = 1/2(x + 3).