Answer:
The decimal is 17.74
Step-by-step explanation:
What are the measurements???
Answer:
angle 4 is 31
angle 5 is 59.
Step-by-step explanation:
M<4 and M<5 add up to a right angle which is 90 degrees . so you put it in a equation form.
2x-5+4x-13=90
rearrange it
2x+4x-5-13=90
6x-18=90
add 18 on both sides
6x=108
divide 6 from both sides
and you get x= 18
Plug in x for angle 4 =2(18)-5 = 31
plug in x for angle 5 = 4(18)-13 = 59
suppose the length of maize ears has narrow sense heritability (h2) ( h 2 ) of 0.70. a population produces ears that have an average length of 28 cm c m , and from this population a breeder selects a plant producing 34- cm c m ears to cross by self-fertilization.
We can expect the mean length of ears in the next generation to be 31.6 cm.
It is given that the narrow sense heritability (h2) is 0.70, which means that 70% of the total variation in maize ear length is due to genetic factors.
Let the mean length of ears in the original population be µ and the mean length of ears in the selected plant be x. Then, we can use the formula for response to selection to find the expected mean length of ears in the next generation:
x' = µ + h2 * (x - µ)
Substituting the given values, we get:
x' = 28 + 0.70 * (34 - 28) = 31.6 cm
Therefore, we can expect the mean length of ears in the next generation to be 31.6 cm.
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When the first letter of a variable name is uppercase, as in hourlywage, the format is known as?
Kendrick attends a private school where he must wear a uniform. Last year, the price of the uniform was $52. This year's uniform price was $65. What is the percent of increase in the cost of the uniform?
The percent increase in the cost of the uniform from last year to this year is 25%.
What is the percent of increase in the cost of the uniform?To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.
The difference between this year's price and last year's price is:
$65 - $52 = $13
The original price (last year's price) is $52.
So the percent increase in the cost of the uniform is:
percent increase = (difference / original price) x 100
percent increase = ($13 / $52) x 100
percent increase = 0.25 x 100
percent increase = 25%
Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.
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for the following initial value problem, compute the first two approximations u1 and u2 given by Euler’s method using the given time stepy’(t)=t+y; y(0)=5; triangle t=0.3u1=u2=
Using Euler's method with a time step of 0.3, the first two approximations for the solution to the initial value problem y'(t) = t + y, y(0) = 5 are u1 = 6.5 and u2 = 8.035.
Using Euler's method, we can approximate the solution to the initial value problem y'(t) = t + y, y(0) = 5 with a time step of Δt = 0.3 as follows:
At t = 0, y = 5
Using the formula: y1 = y0 + f(y0,t0)Δt, where f(y,t) = t + y
y1 = 5 + (0 + 5)0.3 = 6.5
Using the formula again with y1 and t1 = Δt:
y2 = 6.5 + (0.3 + 6.5)0.3 = 8.035
Thus, the first two approximations u1 and u2 are 6.5 and 8.035, respectively.
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HELP Drag and drop the tiles with the coordinate points, so they match up with an equation that they satisfy (0,5) y = 13x + 5 y=-3x y = x - 10 (0,0) (8,-2) (-2,-21) (-5, -15) (-39)
Answer:
Step-by-step explanation:
1. y = 13x + 5
y = 13(0) + 5
y = 0 + 5
y = 5
(0,5)
y = 13(-2) + 5
y = -26 + 5
y = -21
(-2, -21)
2. y = -3x
y = -3(-3)
y = 9
y = -3(0)
y = 0
(0,0)
(-3,9)
3. y = x - 10
y = -5 - 10
y = -15
(-5, -15)
y = 8 - 10
y = -2
(8, -2)
The correct options are:
1. y = 13x + 5 ⇒ (0,5)
2. y = -3x ⇒ (0,0)
3. y = x - 10 ⇒ (8, -2)
What are equations?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
What are the 3 types of equations?point-slope form,standard form,slope-intercept form.Learn more about the equation here brainly.com/question/2972832
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i need help does anyone know this question
Answer:
The third answer is correct.
Step-by-step explanation:
You are going to translate the smaller quadrilateral (4 sided figure) to the larger quadrilateral. Then you need the scale factor from the smaller figure to the larger.
Side EF times the scale factor will give you side AB. Let's call the scale factor s then our equation would be:
EF x s = AB To find s divide both sides by EF
\(\frac{EF(s)}{EF}\) = \(\frac{AB}{EF}\)
s = \(\frac{AB}{EF}\) This is our scale factor.
Helping in the name of Jesus.
what is the equation of the line in slope-intercept form?
The linear function for this problem is defined as follows:
y = x + 50.
How to define a linear function?The slope-intercept equation for a linear function is presented as follows:
y = mx + b
In which:
m is the slope.b is the y-intercept.The graph touches the y-axis at y = 50, hence the intercept b is given as follows:
b = 50.
When x increases by 10, y also increases by 10, hence the slope m is given as follows:
m = 10/10
m = 1.
Hence the function is given as follows:
y = x + 50.
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Fill in the blanks! Help please this is due at 11:59
Answer:
1) intensive
2) squemish
3) selfish
4) injection
5) combatiive
6) reject
7) interjection
8) eject
9) impressive
10) projected
Not sure about some of these but hope this can help!!
Step-by-step explanation:
Answer:
1. intensive
2. squmish
3. selfish
4. injection
5. combative
6. reject
7. interjection
8. eject
9. impressive
10. projected
Step-by-step explanation:
Montrose Oil and Lube is a car care center specializing in ten-minute oil changes. Montrose Oil and Lube has two service bays, which limits its capacity to 4,000 oil changes per month. The following information was collected over the past six months: (Click the icon to view the information.) Read the requirements. 1. Prepare a graphing the volume of oil changes (x-axis) against the company's monthly operating expenses (y-axis). (Enlarge the graph to maximum size and use the point tool button displayed below to draw the graph.) Requirements 1. Prepare a scatterplot graphing the volume of oil changes (x-axis) against the company's monthly operating expenses (y-axis). 2. How strong of a relationship does there appear to be between the company's operating expenses and the number of oil changes performed each month? Explain. Do there appear to be any outliers in the data? Explain. 3. Based on the scatterplot, do the company's operating costs appear to be fixed, variable, or mixed? Explain how you can tell. 4. Would you feel comfortable using this information to project operating costs for a volume of 3,800 oil changes per month? Explain. Data table
To answer the question, let's start by preparing a scatterplot graphing the volume of oil changes (x-axis) against the company's monthly operating expenses (y-axis). From the data provided, the scatterplot appears as follows:
It appears that there is a fairly strong correlation between the number of oil changes performed and the company's operating expenses each month. The points appear to fall along a linear line, and there do not appear to be any outliers. This indicates that the company's operating costs are fixed.
Given the strong correlation between the number of oil changes and the company's operating expenses, we can feel confident using the data to project operating costs for a volume of 3,800 oil changes per month.
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For the point P(-16,-16) and Q(-11,-11), find the distance d(P,Q) and the coordinates of the
midpoint M of the segment PQ.
What is the distance?
What are the coordinates of the midpoint M?
The cοοrdinates οf the center M are therefοre (-13.5, -13.5) frοm the pοints P(-16,-16) and Q(-11,-11) and the distance d(P,Q).
what is cοοrdinates ?Cοοrdinates are a cοllectiοn οf numbers used tο describe a pοint's lοcatiοn in a space οr plane in mathematics. The first number in a pair οf cοοrdinates usually indicates the lοcatiοn alοng the x-axis, and the secοnd number indicates the pοsitiοn alοng the y-axis.
A three-dimensiοnal cοοrdinate system is prοduced by adding a z-axis tο the twο-dimensiοnal cοοrdinate system fοrmed by the x- and y-axes. In geοmetry, algebra, trigοnοmetry, and οther branches οf mathematics, cοοrdinates are frequently used.
given
We emplοy the distance algοrithm tο determine the separatiοn between pοints P and Q:
sqrt[(x₂ - x₁) + (y₂ - y₁)] Equals d(P,Q)
where pοint P's cοοrdinates are x₁ and y₁, and pοint Q's cοοrdinates are x₂ and y₂.
By entering the specified numbers, we οbtain:
sqrt[(-11 - (-16))² + (-11 - (-16))² Equals d(P,Q)
= sqrt[5² + 5²]
equals sqrt[50] = 5sqrt (2)
Therefοre, P and Q are separated by 5 sqrt(2) units.
We emplοy the midpοint methοd tο determine the midpοint's cοοrdinates:
M = [((x₁ + x₂)/2), ((y₁+ y₂)/2)]
By entering the specified numbers, we οbtain:
= [-13.5, -13.5] .5]
The cοοrdinates οf the center M are therefοre (-13.5, -13.5) frοm the pοints P(-16,-16) and Q(-11,-11) and the distance d(P,Q).
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Complete the following proof.Prove: If the diagonals of a quadrilateral bisect each other, then the quadrilateral is a parallelogram.
Answer
\(\begin{equation*} Slope\text{ of AD }=\frac{2k}{2j-b} \end{equation*}\)\(Slope\text{ of BC}=\frac{2k}{2j-b}\)AD || BC
Slope of AB = 0
Slope of DC = 0
AB || DC
Step-by-step explanation
The slope, m, of the line that passes through the points (x₁, y₁) and (x₂, y₂) is calculated as follows:
\(m=\frac{y_2-y_1}{x_2-x_1}\)Line AD passes through A(0, 0) and D(2j-b, 2k), then its slope is:
\(\begin{gathered} Slope\text{ of AD }=\frac{2k-0}{2j-b-0} \\ Slope\text{ of AD }=\frac{2k}{2j-b} \end{gathered}\)Line BC passes through B(b, 0) and C(2j, 2k), then its slope is:
\(\begin{gathered} Slope\text{ of BC }=\frac{2k-0}{2j-b} \\ Slope\text{ of BC}=\frac{2k}{2j-b} \end{gathered}\)Given that sides AD and BC have the same slope, then they are parallel, that is,
\(\bar{AD}||\bar{BC}\)Line AB passes through A(0, 0) and B(b, 0), then its slope is:
\(\begin{gathered} slope\text{ of AB }=\frac{0-0}{b-0} \\ slope\text{ of AB }=\frac{0}{b} \\ slope\text{ of AB}=0 \end{gathered}\)Line DC passes through D(2j-b, 2k) and C(2j, 2k), then its slope is:
\(\begin{gathered} slope\text{ of DC }=\frac{2k-2k}{2j-(2j-b)} \\ slope\text{ of DC }=\frac{0}{b} \\ slope\text{ of DC }=0 \end{gathered}\)Given that sides AB and DC have the same slope, then they are parallel, that is,
\(\bar{AB}||\bar{DC}\)Angle a and b are complementary angle a measure 10x +10 and angle b measure 20 find the value of c
The measure of angle c is 70 degrees.
If angle a and angle b are complementary, it means that the sum of their measures is equal to 90 degrees.
Given:
Measure of angle a = 10x + 10
Measure of angle b = 20
We can set up the equation:
(10x + 10) + 20 = 90
Simplifying the equation:
10x + 30 = 90
Subtracting 30 from both sides:
10x = 60
Dividing both sides by 10:
x = 6
Now, we have found the value of x to be 6.
To find the measure of angle c, we can substitute the value of x into the equation for angle a:
Measure of angle a = 10x + 10
Measure of angle a = 10(6) + 10
Measure of angle a = 60 + 10
Measure of angle a = 70
As a result, angle c has a measure of 70 degrees.
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x + 23
5x + 13
please help
Answer:
x = 2.5 or 5/2.
Step-by-step explanation:
They're congruent angle, so set them equal to each other
5x + 13 = x + 23
Solve for x:
4x = 10
x = 10/4 = 5/2 = 2.5
riddle#1 what belongs to you but your friends use it more
Answer:
Phone number
Step-by-step explanation:
Answer:
your name people lol...........
A school has 617 students. Each class has between 28 and 32 students. Which is the best estimate of the number of classes in the school?
14 classes
20 classes
30 classes
60 classes
Answer:
20
Step-by-step explanation:
617/28= 22 (rounded too)
617/32= 19 ( rounded too)
19-22 is teh amount of classes that can be filled with 28 to 32 students.
20 is correct because it is around the amount of classes that there can be. !4 is too little so the number of students should be smaller.
30 and 60 classes are to big. there would only be about 10 or 20 kids per class
store a sells five times as many products as store b and one half as many as store c. if store c sells 125,910 products, how many products does store b sell?
Store B sells 12591 products.
An equation is a mathematical statement that demonstrates the equality of two mathematical expressions.
Let the number of products Store A sells be x, the number of products store B sells be y, and the number of products store C be z.
Now,
Store C sells 125910 products.
z = 125910 products
Store A sells one-half as many as store C.
x = ( 1/2 )z
x = ( 1/2) × 125910
x = 62955 products
Store A sells five times as many products as store B can be expressed as the equation,
x = 5y
62955 = 5y
Dividing each side by 5,
y = 62955 / 5
y = 12591 products
Store A, B, and C sell 62955, 12591, and 125910 products.
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How many electrons can there be in the 5s subshell.
s orbital mentioned
Note that for all n shells electrons per shell is fixed like for p it's 6 and for d it's 10
Hence 5s contains 2electronsRule for electron in nth shell=2n²
There are 50 kids at the park 30 of the girls what percent of the kids are boys
Answer:
40 %
Step-by-step explanation:
Example 6: The area of a rectangle is 3.6 meters. Th
base of the rectangle is 3 meters. Which equation
can be used to find h, the height of the rectangle?
PLEASE HELP
A. 3.6 + h = 3
B. 3.6 = 3h
B. 3.6 = h - 3
D.3.6 = 4
Answer:
B. 3.6 = 3h
Step-by-step explanation:
Area of rectangle formula :-
A = L × W
3.6 = 3 × W OR the answer choic it gave is 3.6 = 3h.
Hope this helps, thank you !!
Can someone answer this it's in the pictures
Answer:
go to mathaway.com
Step-by-step explanation:
There are 5 red markers, 2 orange markers, 3 yellow markers, and 5 green markers in a desk drawer. plss help
Answer:
15 markers in all
Step-by-step explanation:
5 + 2 + 3 + 5 =
5 + 5 = 10
+
2 + 3 = 5
=
10 + 5 = 15
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What is the solution for x in 5x - 2 + 2x = 7x - 2?
A blockbuster movie makes about $35,200,000 in the
United States during its opening weekend. The same
weekend another movie opens but only makes about
$2,500,000
What is the combined revenue for the movies? Write
your answer in scientific notation.
Show your work.
Please help.
Answer:
$3.77 * 10^7
Step-by-step explanation:
$35,200,000 + $2,500,000 = $37,700,000 = $3.77 * 10^7
Today, Andrew borrowed R200 000 from a bank. The bank charges interest at 5.25%p.a, a compounded quarterly. Andrew will make make payments of R6 000 at the end of 3 months. His first repayment will be made 3 months from now, how long in years will it take for Andrew to settle the loan
In order to calculate the time it will take for Andrew to settle the loan, we can use the formula for compound interest. So, it will take Andrew approximately 5.22 years to settle the loan.
The formula is given as A = P(1 + r/n)^(nt), Where: A = the final amount, P = the principal (initial amount borrowed), R = the annual interest rate, N = the number of times the interest is compounded in a year, T = the time in years.
We know that Andrew borrowed R200 000 from a bank at an annual interest rate of 5.25% compounded quarterly and that he will make repayments of R6 000 at the end of every 3 months.
Since the first repayment will be made 3 months from now, we can consider that the initial loan repayment is made at time t = 0. This means that we need to calculate the value of t when the total amount repaid is equal to the initial amount borrowed.
Using the formula for compound interest: A = P(1 + r/n)^(nt), We can calculate the quarterly interest rate:r = (5.25/100)/4 = 0.013125We also know that the quarterly repayment amount is R6 000, so the amount borrowed minus the first repayment is the present value of the loan: P = R200 000 - R6 000 = R194 000
We can now substitute these values into the formula and solve for t: R194 000(1 + 0.013125/4)^(4t) = R200 000(1 + 0.013125/4)^(4t-1) + R6 000(1 + 0.013125/4)^(4t-2) + R6 000(1 + 0.013125/4)^(4t-3) + R6 000(1 + 0.013125/4)^(4t)
Rearranging the terms gives us: R194 000(1 + 0.013125/4)^(4t) - R6 000(1 + 0.013125/4)^(4t-1) - R6 000(1 + 0.013125/4)^(4t-2) - R6 000(1 + 0.013125/4)^(4t-3) - R200 000(1 + 0.013125/4)^(4t) = 0
Using trial and error, we can solve this equation to find that t = 5.22 years (rounded to 2 decimal places). Therefore, it will take Andrew approximately 5.22 years to settle the loan.
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Can you prove congruence with 3 angles?
It is NOT necessary for two triangles to be congruent just because the three angles (AAA) connecting them are congruent.
Given,
The congruent angles;
Angles of equal measure are said to have congruent angles. Thus, all angles with the same measure are referred to as congruent angles. They can be found everywhere, such as in isosceles triangles, equilateral triangles, and situations where a transversal intersects two parallel lines.
That is,
The triangles do not necessarily need to be congruent just because the three angles (AAA) between two triangles are similar. They have the same shape (or something similar), but we have no idea how big they are.
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How do I know AM is congruent to segment CM?
Answer:
Because Rhomboids have adjacent sides that makes it equal, and also both sides have the same meeting point which is M.
Step-by-step explanation:
A college basketball player is known to make 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free-throw attempts are independent, what is the probability that the number of free throws he makes exceeds 80
The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.
The complete question is as below:-
A college basketball player makes 80% of his free throws. Over the course of the season, he will attempt 100 free throws. Assuming free throw attempts are independent, the probability that the number of free throws he makes exceeds 80 is approximate:____________.
A) 0.2000
B) 0.2266
C) 0.5000
D) 0.7734
What is probability?Probability is defined as the ratio of the number of favourable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.
Given that,
A college basketball player makes 80% of his free throws.
Over the course of the season, he will attempt 100 free throws.
Assuming free throw attempts are independent.
We have to determine,
The probability that the number of free throws he makes exceeds 80 is.
According to the question,
P(Make a Throw) = 80% = 0.80
number of free throws n = 100
Binomial distribution:
Mean: n x p = 0.80 x 100 = 80
Then, The standard deviation is determined by using the formula;
\(\sigma\) = \(\sqrt{np(1-P)\)
= \(\sqrt{80\TIMES (1-0.80)\)
= \(\sqrt16\)
= 4
Therefore,
To calculate the probability that the number of free throws he makes exceeds 80 we would have to make the following calculation:
P ( x> 80) = 1 - P ( x < 80)
To calculate this value via a normal distribution approximation:
P ( \(Z < \dfrac{80-80}{4})\) = 1-P(Z < 0 ) = 1 - 0.50 = 0.500
Hence, The probability that the number of free throws he makes exceeds 80 is approximately 0.5000.
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consider a population with data values of 12 8 28 22 12 30 14 pictureclick here for the excel data file the population mean is __________.
The population mean is approximately 18.
To find the population mean, we need to calculate the average of all the data values in the population.
Given the data values 12, 8, 28, 22, 12, 30, and 14, we can add them together and divide by the total number of values (which is 7) to find the population mean.
Sum of data values = 12 + 8 + 28 + 22 + 12 + 30 + 14 = 126
Population mean = Sum of data values / Total number of values = 126 / 7≈ 18
Therefore, the population mean is approximately 18.
It's worth noting that this calculation assumes that the given data represents the entire population. If the data is a sample from a larger population, the mean calculated from the sample would be an estimate of the population mean rather than the true population mean.
In that case, statistical techniques can be used to estimate the population mean based on the sample mean and other relevant information, such as confidence intervals or hypothesis tests.
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Janelle is shopping around for the best cell phone plan. The best company is offering a $50 set up fee plus $60 per month. If the contract is for one year, how much will Janelle end up paying after one year?
$650
None of these choices are correct.
$770
$700
$720
Answer:
770
Step-by-step explanation:
12 month ×60 per month
Plus 50 set up fee
=770