Answer:
2 ft by 12 feet
Step-by-step explanation:
H(4 1/2, -3 1/4) x (3 3/4, -1 3/4) what the midpoint of hx
Answer:
(3 7/8, 2 3/4)
Step-by-step explanation:
To find the midpoint, the formula is (x1-x2)/2 and (y1-y2)/2. So, in this case, our x1 is 4 1/2 and our x2 is -3 1/4. Subtract x2 from x1 and you will get 7 3/4. Then, divide by 2 to get 3 7/8. This is our x-coordinate.
Our y1 is 3 3/4 and our y2 is -1 3/4. Subtract y2 from y1 to get 5 1/2. Then divide by two to get 2 3/4. This is our y-coordinate.
Now we have our x and y coordinates.
(3 7/8, 2 3/4)
17 rounded to the nearest 10th of a degree
Answer: 20
Step-by-step explanation:
17 is closest to 20 :)
(sorry if this is wrong)
Patrick won a sweepstakes and will receive money each week for 52 weeks. The first week he will receive $10. Every week after that he will receive 10% more than he got the previous week. How much money did he receive over the 52 weeks?
Patrick received a total of approximately $6,785.97 over the course of 52 weeks.
To calculate the total amount of money Patrick received over the 52 weeks, we can use the concept of a geometric sequence. The first term of the sequence is $10, and each subsequent term is 10% more than the previous term.
To find the sum of a geometric sequence, we can use the formula:
Sn = a * (r^n - 1) / (r - 1),
where Sn is the sum of the first n terms, a is the first term, r is the common ratio, and n is the number of terms.
In this case, a = $10, r = 1 + 10% = 1.1 (common ratio), and n = 52 (number of weeks).
Plugging these values into the formula, we can calculate the sum of the sequence:
S52 = 10 * (1.1^52 - 1) / (1.1 - 1)
After evaluating this expression, we find that Patrick received approximately $6,785.97 over the 52 weeks.
As a result, Patrick collected about $6,785.97 in total over the course of 52 weeks.
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Please help me ASAP!!!!
Mr. Mastrogiacomo is testing the hypothesis that the proportion of households in a large town that have high-speed internet service is equal to 0.7 against the alternative that the proportion is different from 0.7. What is the chief advantage of using a confidence interval to test this hypothesis rather than a significance test
Step-by-step explanation:
You can use a confidence interval (CI) for hypothesis testing. In the typical case, if the CI for an effect does not span 0 then you can reject the null hypothesis. But a CI can be used for more, whereas reporting whether it has been passed is the limit of the usefulness of a test.
example 2 major premise: no dogmatists are scholars who encourage free thinking. minor premise: some theologians are scholars who encourage free thinking. conclusion: some theologians are not dogmatists. the major premise in example 2 is an proposition. the minor premise in example 2 is an proposition. the conclusion in example 2 is an proposition. therefore, the mood of the categorical syllogism in example 2 is .
The mood of the categorical syllogism in example 2 is AIO.
In your example, we have the following premises and conclusion:
1. Major Premise: No dogmatists are scholars who encourage free thinking.
2. Minor Premise: Some theologians are scholars who encourage free thinking.
3. Conclusion: Some theologians are not dogmatists.
The major premise in example 2 is an A proposition (All S are not P). The minor premise in example 2 is an I proposition (Some S are P). The conclusion in example 2 is an O proposition (Some S are not P).
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what is the point-slope form of a line with slope -4 that contains the point (-2, 3)
Answer:
\(y - 3 = - 4(x + 2)\)
Please help me with number 4 thank you so much!
Answer:
the product is equal to the number. When a positive whole number is multiplied by a fraction greater than 1. When a positive whole number is multiplied by a fraction between 0 and 1, the product is less than the whole number.
Step-by-step explanation:
If P is the midpoint of ST, SP=x+12 and PT=4x, determine the length of ST
Answer:
5x - 12
Step-by-step explanation:
If P is the midpoint of Line ST, then Lines SP and PT equal ST.
\(SP=x+12\\PT=4x\\SP+PT=x-12+4x\\SP+PT=5x-12\\ST=5x-12\)
Answer:
ST = 32
Step-by-step explanation:
Since P is the midpoint of ST , then
SP = PT , that is
x + 12 = 4x ( subtract x from both sides )
12 = 3x ( divide both sides by 3 )
4 = x
Then
ST = SP + PT = x + 12 + 4x = 5x + 12 , so
ST = 5(4) + 12 = 20 + 12 = 32
r is a relation on the set of all nonnegative integers. (a,b) is in r if a and b have the same remainder when divided by 5
The relation accepts reflexive, symmetry, and transitive.
Recall that a relation R is reflexive if the element (x, x) belongs to R for all elements X in the domain of R.
If (x, y) belongs to R, then follows that (y, x) must likewise belong to R, making the situation symmetric.
And it is transitive if (x, y) and (y, z) belongs to R necessarily implies that (x, z) belongs to R.
Given r is a relation on the set of all nonnegative integers R(a,b)
Reflexive - YES. A given number a will always have the same remainder when divided by 5.
Symmetric - YES. If a and b have the same remainder when divided by 5, then b and a are the same pair, so again they will have the same remainder.
Transitive - YES. If a and b as well as b and c have the same remainder when divided by 5, this is possible if both a and c also have the same remainder when divided by 5.
Therefore the relation accepts reflexive, symmetry, and transitive.
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The delgados obtained an instrument loan of $12,000 from the credit union to pay for their son's tuitions. They obtained the loan at an apr of 10 percent and agreed to repay the loan in 12 mounths what is the finance charge the
The Finance Charge for the Delgados obtained for an instrument is $1200 to repay the loan in 12 months.
The given data is as follows:
Instrument loan = $12,000
Loan at APR = 10%
Number of months = 12 Months
The finance charge is calculated by using the formula,
Finance charge = Loan amount x APR x No' of months to repayment / No' of months in a year
Finance charge = ($12,000 x 10% x 12) / 12
Finance charge = 14400 / 12
Finance charge = $ 1200
Therefore we can conclude that the Finance charge for the Delgados obtained for an instrument is $1200.
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Suppose that a population parameter is 0.1 and many samples are taken from the population. If the size of each sample is 90, what is the standard error of the distribution of sample proportions?
A. 0.072
B. 0.095
C. 0.032.
2 D. 0.054
The standard error of the distribution of sample proportions is 0.032.
option C is the correct answer.
What is the standard error of the distribution of sample proportions?The standard error of the distribution of sample proportions is calculated as follows;
S.E = √(p (1 - p)) / n)
where;
p is the population parameter of the datan is the sample size or population sizeThe standard error of the distribution of sample proportions is calculated as;
S.E = √ ( 0.1 (1 - 0.1 ) / 90 )
S.E = 0.032
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How can I solve (-2)+(-2)
8. Translate the expression: Five times a number z decreased by 13
Answer:
5z-13
Step-by-step explanation:
It states "five times a number z" which gives us 5z. It then says "decreased by 13" which gives us -13. Now we combine both of them together and get 5z-13.
Which number is equivalent to 7.854 ?
Step-by-step explanation:
3927/500
I'm guessing this is multiple choice what where your choices?
use the given values to find the values (if possible) of all six trigonometric functions. (if an answer is undefined, enter undefined.) sin x = 1 2 , cos x = − 3 2
Given the trigonometric functions sin x = 1/2 and cos x = -3/2, we are to determine the values of all six trigonometric functions. And the values would be sin x = 1/2, cos x = -3/2, tan x = -1/3, csc x = 2, sec x = -2/3, cot x = -3.
The given values of sin x = 1/2 and cos x = -3/2 are not possible values of sine and cosine functions since they are out of their respective ranges. Therefore, the values of the other four trigonometric functions cannot be found. Therefore, the answer is undefined.
To find the values of all six trigonometric functions given sin x = 1/2 and cos x = -3/2, we can use the following steps:
Step 1: Calculate the value of tan x
We can find the value of tan x by using the formula tan x = sin x / cos x.
So, tan x = (1/2) / (-3/2) = -1/3.
Step 2: Calculate the value of csc x, sec x, and cot x
To find the other three trigonometric functions, we can use their reciprocal relationships with sin x, cos x, and tan x:
csc x = 1 / sin x
sec x = 1 / cos x
cot x = 1 / tan x
Using the given values, we can find the values of these functions:
csc x = 1 / (1/2) = 2
sec x = 1 / (-3/2) = -2/3
cot x = 1 / (-1/3) = -3
Step 3: Summarize the values of all six trigonometric functions
Now we have the values for all six trigonometric functions:
sin x = 1/2
cos x = -3/2
tan x = -1/3
csc x = 2
sec x = -2/3
cot x = -3
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How do I solve both equations ?
Answer:
a) 56.25 mph
b) $1.59/lb
Step-by-step explanation:
The units of the "unit rate" tell you the math operation you need to perform.
a)Miles per hour (mi/h) is found by dividing miles by hours.
(450 mi)/(8 h) = (450/8) mi/h = 56.25 mi/h
b)
Dollars per pound ($/pound) is found by dividing dollars by pounds.
($7.95)/(5 pounds) = (7.95/5) $/pound = 1.59 $/pound
__
Additional comment
In the context of unit rates, "per" means "divided by."
What makes a rate a "unit rate" is the "1 unit" in the denominator. For miles per hour, the denominator is 1 hour. For dollars per pound, the denominator is 1 pound.
h(x)=√(x+7). Find f and g so that h=f o g
Answer:
(D) f(x)=√x, g(x)=x+7
Explanation:
Given the functions:
\(\begin{gathered} f(x)=\sqrt[]{x} \\ g(x)=x+7 \end{gathered}\)The composite function h(x)=(f o g)(x) is:
\(\begin{gathered} h(x)=(f\circ g)(x) \\ =f(g(x)) \\ =\sqrt[]{g(x)} \\ =\sqrt[]{x+7} \end{gathered}\)The correct choice is D.
Scenario A. The manager at Dunder-Mifflin Paper Company interested in understanding how a company's employee benefits influence employee satisfaction. In 2020 the company implemented a new benefits package that included optional benefits such as childcare, eldercare, and retirement packages. The manager compares the employee satisfaction ratings from before and after the new benefits package was implemented.
1. What is the independent variable for Scenario A?
a. The employee benefits package
b. The work from home policy
c. Employee productivity
d. The employees at the company
e. The office layout (floorplan)
The independent variable for Scenario A is given as follows:
a. The employee benefits package.
What are dependent and independent variables?In the case of a relation, we have that the independent and dependent variables are defined by the standard presented as follows:
The independent variable is the input of the relation.The dependent variable is the output of the relation.In the context of this problem, we have that the input and the output of the relation are given as follows:
Input: Employee benefits package.Output: Employee satisfaction.Hence the independent variable for Scenario A is given as follows:
a. The employee benefits package.
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a plant cell had 5.8 x 10^-6 m and width 2.9 x 10^-6 m. what is the ratio of the plants cells length to its width
The ratio of the plant cell's length to its width is 2:1 (5.8 x 10^-6 m to 2.9 x 10^-6 m).
To calculate the ratio of the plant cell's length to its width, we first need to find the length and width of the cell. The given data states that the length of the cell is 5.8 x 10^-6 m and the width is 2.9 x 10^-6 m. To calculate the ratio, we divide the length by the width. In this example, we divide 5.8 x 10^-6 m by 2.9 x 10^-6 m, which equals 2. Thus, the ratio of the plant cell's length to its width is 2:1.
length / width = 5.8 x 10^-6 m / 2.9 x 10^-6 m = 2
length : width = 5.8 x 10^-6 m : 2.9 x 10^-6 m = 2:1
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Find the Taylor polynomials of orders 0, 1, 2 and 3 generated by f at a. f(x) = 6 ln (x), a = 1. The Taylor polynomial of order 0 is P0(x) = . The Taylor polynomial of order 1 is P1(x) = . The Taylor polynomial of order 2 is P2(x) = . The Taylor polynomial of order 3 is P3(x) =
The Taylor polynomials of orders 1, 2 and 3 generated by f at a are 6(x - 1), 6(x - 1) - 3(x - 1)², and 6(x - 1) - 3(x - 1)² + 2(x - 1)³.
The Taylor polynomial of order 1, denoted by P1(x), is a linear polynomial that approximates f(x) near the point a. To find this polynomial, we first need to find the first derivative of f(x), which is f'(x) = 6/x. Evaluating this derivative at the point a, we have f'(1) = 6, so the equation of the tangent line to the graph of f(x) at the point x = 1 is y = 6(x - 1) + 0. Simplifying this expression, we get
=> P1(x) = 6(x - 1).
The Taylor polynomial of order 2, denoted by P2(x), is a quadratic polynomial that approximates f(x) near the point a. To find this polynomial, we first need to find the second derivative of f(x), which is f''(x) = -6/x².
Evaluating this derivative at the point a, we have f''(1) = -6, so the equation of the quadratic polynomial that approximates f(x) near the point x = 1 is
=> y = 6(x - 1) + (-6/2)(x - 1)².
Simplifying this expression, we get
=> P2(x) = 6(x - 1) - 3(x - 1)².
Finally, the Taylor polynomial of order 3, denoted by P3(x), is a cubic polynomial that approximates f(x) near the point a.
To find this polynomial, we first need to find the third derivative of f(x), which is f'''(x) = 12/x³.
Evaluating this derivative at the point a, we have f'''(1) = 12, so the equation of the cubic polynomial that approximates f(x) near the point x = 1 is
=> y = 6(x - 1) - 3(x - 1)² + (12/3!)(x - 1)³.
Simplifying this expression, we get
=> P3(x) = 6(x - 1) - 3(x - 1)² + 2(x - 1)³.
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I need help with the ones I didn't do and did I do them right too?
Answer:
1) 64
2) 8
3) 2187
4) 5\(x^{2}\)
5) 4\(x^{2}\)
6) 12\(n^{5}\)
7) 9\(x^{2}\)
8) \(p^{9}\)
9) 27\(p^{12}\)
10) \(\frac{4x}{3}\)
11) 4b
12) \(\frac{1}{4a^{2} }\)
Step-by-step explanation:
Answer:
refer to the attachment
Two urns contain white balls and yellow balls. The first urn contains 2 white balls and 4 yellow balls and the second urn contains 8 white balls and 2 yellow balls. A ball is drawn at random from each urn. What is the probability that both balls are white?
The probability that both balls drawn are white is 4/15.
To find the probability that both balls drawn are white, we need to consider the probabilities of drawing a white ball from each urn and then multiply them together.
The first urn contains 2 white balls and 4 yellow balls. The probability of drawing a white ball from the first urn is 2/6, or simplified, 1/3.
The second urn contains 8 white balls and 2 yellow balls. The probability of drawing a white ball from the second urn is 8/10, or simplified, 4/5.
To find the probability of both events occurring, we multiply the probabilities together:\((1/3) \times (4/5) = 4/15\).
In summary, when drawing a ball at random from each urn, the probability of selecting two white balls is 4/15.
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−4(x+5)=−4x−20 what is the anser or is there even a aswer
The equation as given in the task content whose solution is to be determined has; infinitely many solutions.
What is the number of solutions which satisfy the equation given in the task content?It follows from the task content that the number of solutions which satisfy the given equation are to be determined.
On this note, it follows that the since the equation given is;
−4(x+5)=−4x−20
By solving the parentheses by distributive property; we have;
-4x -20 = -4x - 20
It therefore follows from the equation above that both sides of the equation are equal and identical.
Hence, the equation given has infinitely many solutions.
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Someone please help fast!
Simplify: in the picture
Answer:
-3ab
Step-by-step explanation:
-27/9= 3
(a^2)/a=a
(b^2)/b=b
Maddi needs to rent a car.the rental costs$13 per hour Plus a processing fee of 100$. Which is the independent variable costs or time.
Answer:
The independent variable is time.
Step-by-step explanation:
(Y=mx+b format)
Maddi's rental for the car costs $13 per hour so the x variable would be the hours (x=hour). This would be a Y= mx + b equation and in this case, Y=13x + 100. Independent means (mathmatically) a variable that does not depend on any other variable for its value. The costs is always changing being dependent on the time portion. The time isn't dependent on anything. Thus, the independent variable is time.
(If you need a starting point which is b, it would be the $100 as the processing fee.)
please answer
12a=6a+24
Answer:
a=4
Step-by-step explanation:
Hope this helps! Plz give brainliest!
Answer:
Subtract 6a6a from both sides.
12a-6a=24
12a−6a=24
2 Simplify 12a-6a12a−6a to 6a6a.
6a=24
6a=24
3 Divide both sides by 66.
a=\frac{24}{6}
a=
6
24
4 Simplify \frac{24}{6}
6
24
to 44.
a=4
a=4
Step-by-step explanation:
A surveyor is surveying a street. The surveyor is standing at point Plooking down the street at a No Parking sign at point A and a stop sign at point R. Given PA=3x-4, PR=21 meters, AR=7 meters and point A is between point Rand point What is the value of x in meters?
Answer:
Step-by-step explanation:
If point A is between P and R, then;
PA+AR = PR
Given
PA=3x-4,
PR=21 meters,
AR=7 meters
Substitute
3x-4 +7 = 21
3x+3 = 21
3x = 21-3
3x =18
x =18/3
x = 6
Hence the value of x is 6m
Write 4 x 3,569 in expanded form to show the place value of each digit. Then find the product.
(4 x
) + (
x 500) + (4 x
) + (4 x
)
Final product: =
The answer of the given equation is 14,276.
Given that,
There is two numbers i.e. 4 and 3,569.We need to find out the product of these two numbers.
Based on the above information, the calculation is as follows:
\(= 4\times 3569\)
= 14,276
Therefore we can conclude that The answer of the given equation is 14,276.
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help me y’all , I don’t understand .