Answer
I think you just draw a line from 9 to 4, i'm not so sure tho.
Step-by-step explanation:
*Snarls at my own stupidity*
Which equation could be used to find m∠E in △EFG?
m∠E = tan-1(3/4.6)
Explanation
A gardener can care for the greens property in 5 hours. if his helper assists him, they will be done in 4 hours. how many hours does it take for the helper to do it alone
If a gardener can care for the greens property in 5 hours and if his helper assists him, they will be done in 4 hours, then the number of hours it takes for the helper to do it alone is equal to 20.
The number of hours it takes for the helper to do it alone can be found as follows;
Time taken by both the gardener and the helper to complete the job=4
Work done by both the gardener and the helper in one hour = 1/4
Similarly,
Time taken by the gardener to complete the job = 5
Work done by the gardener in one hour = 1/5
The number of hours it takes for the helper alone can be calculated by subtraction. Subtracting the fraction done by the gardener in 1 hour from the fraction done by both the gardener and the helper in 1 hour;
1/4 - 1/5
As the common denominator is 20, we multiply 1/4 by 5 and 1/5 by 4.
5/20 - 4/20 = 1/20
The number of hours it takes for the helper to do it alone can be found by finding the reciprocal of 1/20 which is equal to 20/1
20/1 = 20
Hence, the helper takes 20 hours to do it alone.
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If a=6 and b=24 what is (a+b)squared
Answer:
900
Step-by-step explanation:
(6 + 24)^2
30^2
900
Harry fills up his Jeep with gasoline and notes that the odometer reading is 23,408.1 miles. The next time he fills up his Jeep, he pays for 15.5 gallons of gasoline. He notes his odometer reading is 23,684 miles. How many miles per gallon did he get? (Round the answer to the nearest tenth, if necessary.)
First let's find how many kilometers the jeep traveled, by subtracting the odometer readings:
\(23684-23408.1=275.9\)Now, to find the miles per gallon, we just need to divide the kilometers by the amount of gallons of gasoline:
\(\frac{275.9}{15.5}=17.8\)So Harry got 17.8 miles per gallon with the Jeep.
72 Let r ‡ 1 be a real number. Use induction to show that Σrk: = k-2 ne Zt with n ≥ 2. m2 – pn+1 1-r for all
To prove the given statement using mathematical induction, we need to show that the formula holds for the base case (n = 2) and then prove the inductive step, assuming it holds for some arbitrary value of n and showing that it holds for n + 1.
Base case (n = 2):
When n = 2, the formula becomes Σrk = m^2 - p^3(1 - r). This is a valid formula, satisfying the base case condition.
Inductive step:
Assume the formula holds for some arbitrary value of n, i.e., Σrk = m^n - p^(n+1)(1 - r).
Now, we need to prove that it holds for n + 1, i.e., Σrk = m^(n+1) - p^(n+2)(1 - r).
Starting with the left-hand side (LHS) of the formula for n + 1:
Σrk = k-2 (using the given summation notation)
Expanding the summation from k = 2 to n + 1:
LHS = (n+1) - 2 + (n+1) - 1 + ... + (n+1) - n
Simplifying the terms: LHS = n + (n + 1) + (n + 2) + ... + (n + 1) - n
Combining like terms:
LHS = (n + 1) + (n + 1) + (n + 1) + ... + (n + 1) [n + 1 terms]
The sum of n + 1 terms of (n + 1) is (n + 1)(n + 1) = (n + 1)^2.
Hence, LHS = (n + 1)^2.
Now, let's consider the right-hand side (RHS) of the formula for n + 1:
RHS = m^(n+1) - p^(n+2)(1 - r)
By assuming the formula holds for n, we have:
RHS = (m^n - p^(n+1)(1 - r)) * m - p^(n+2)(1 - r)
Simplifying RHS: RHS = m^(n+1) - p^(n+2)(1 - r) + p^(n+1)(r - 1)m - p^(n+2)(1 - r)
Combining like terms: RHS = m^(n+1) + p^(n+1)(r - 1)m - p^(n+2)(1 - r) - p^(n+2)(1 - r)
RHS = m^(n+1) + p^(n+1)(r - 1)m - 2p^(n+2)(1 - r)
Now, we compare the LHS and RHS: LHS = (n + 1)^2
RHS = m^(n+1) + p^(n+1)(r - 1)m - 2p^(n+2)(1 - r)
By observing the RHS, we can see that it can be written as (n + 1)^2 by factoring out (1 - r)m.
Hence, LHS = RHS = (n + 1)^2.
By proving the base case and the inductive step, we have shown that the formula holds for all n ≥ 2 using mathematical induction.
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help please ASAPP 30 points
Answer:
A : (146-4b)=(122-1b)
Step-by-step explanation:
4 Solve Using Synthetic
X^3 - 12x^2 + 12x + 80 = 0
Answer:
x^3 - 3x^2 - 3x + 9 + (-36/(x+3))
OR
x^3 - 3x^2 - 3x + 9 - (36/(x+3))
Step-by-step explanation:
First set the divisor equal to 0:
x + 3 = 0
Subtract 3 from both sides
x = -3
This is what you'll divide the dividend by in synthetic division.
Take the coefficents of each term in the dividend. Do not forget the 0 placeholders:
x^4 + 0x^3 - 12x^2 + 0x -9
Coefficents: 1. 0. -12. 0 -9.
Please see the image for the next steps.
The remainder is -36. Put the remainder over the divisor and add it to the polynomial (shown in image)
-36/(x+3)
Which of the following terminating decimals is equivalent to Negative 1 and three-fourths?
Answer:
-1.75
Step-by-step explanation:
This should be it, but you didn't provide options although you put "Which of the following.."
Answer:
-1.75 thatis the answer thank you HAHAHAHAHAHA
Find parametric equations and symmetric equations for the line. (Use the parameter t.)
The line through (5,-2,4) and parallel to the linex+1=\frac{y}{2}=z-5
(x,y,z) = ( ? )
Given the line through (5,-2,4) and parallel to the line x+1=y/2=z−5. The equation of the line in parametric form is given by:(x,y,z)=(5,-2,4)+ t(a,b,c)
Where (a,b,c) is the direction vector of the line. As given, the line is parallel to the line x+1=y/2=z−5
Therefore, the direction vector of the given line is equal to the direction vector of the required line. Thus, the direction vector of the line, (a, b, c) is a = 1, b = 1/2, and c = 1.
The equation of the line in parametric form is:(x,y,z)=(5,-2,4)+t(1,1/2,1)
The symmetric equations of the line are given as follows:x−5y−2z−4=0x−5y−2z=−4Thus, the required parametric equations and symmetric equations for the line are:(x,y,z)=(5,-2,4)+t(1,1/2,1)andx−5y−2z−4=0x−5y−2z=−4
To find the parametric equations for the line through (5, -2, 4) and parallel to the given line, we first need to find the direction vector of the given line. From the symmetric equation x + 1 = y/2 = z - 5, we can obtain the parametric equations of the given line:
x = t - 1
y = 2t
z = t + 5
The direction vector of this line is the coefficients of the parameter t, which are (1, 2, 1). Since our desired line is parallel to the given line, it will have the same direction vector, (1, 2, 1).
Now we can write the parametric equations for our desired line using the given point (5, -2, 4) and the direction vector (1, 2, 1):
x = 5 + t
y = -2 + 2t
z = 4 + t
So, the parametric equations for the desired line are (x, y, z) = (5 + t, -2 + 2t, 4 + t).
For the symmetric equations, we need to eliminate the parameter t. We can do this by solving the parametric equations for t and setting them equal to each other:
t = x - 5
t = (y + 2)/2
t = z - 4
Now set them equal to each other:
x - 5 = (y + 2)/2 = z - 4
So, the symmetric equations for the desired line are x - 5 = (y + 2)/2 = z - 4.
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What are the subtypes of qualitative data (techniques)?
There are several subtypes of qualitative data techniques, including interview, focus groups, observations, case studies and document analysis.
Interviews: These are one-on-one conversations between the researcher and participant(s), where the researcher asks open-ended questions to gather information.
Focus Groups: These are group discussions where a researcher moderates the conversation and asks participants to share their experiences and opinions on a particular topic.
Observations: These involve the researcher directly observing and documenting behaviors, actions, and interactions of individuals or groups in a natural setting.
Case Studies: These involve in-depth exploration and analysis of a single individual or group, often used in fields such as psychology and social work.
Document Analysis: This involves reviewing and analyzing written or recorded materials such as texts, videos, or audio recordings to gain insight into a particular topic or phenomenon.
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Use the following image to answer the question.
Four angles formed by intersecting lines m and n. Angles are labeled clockwise from left: angle 1, angle 2, angle 3, and angle 4.
What statement can be used to prove that vertical angles ∠1 and ∠3 are congruent?
A.) m∠1+m∠3=m∠2+m∠4
B.) m∠1=m∠2 and m∠2=m∠3
C.) m∠1+m∠2=m∠2+m∠3
D.) m∠1=m∠4 and m∠2=m∠3
The answer is C.) m∠1+m∠2=m∠2+m∠3
Answer:
its D
Step-by-step explanation:
i took the quiz
Is there a relationship between Column X and Column Y? Perform correlation analysis and summarize your findings.
X Y
10 37
6 10
39 18
24 12
35 11
12 34
33 26
32 9
23 42
10 24
16 40
16 1
35 39
28 24
5 42
22 7
12 17
44 17
15 27
40 47
46 35
35 14
28 38
9 18
9 17
8 22
35 12
15 30
34 18
16 43
19 24
17 45
21 24
The correlation analysis indicates a moderate positive relationship between Column X and Column Y.
To perform correlation analysis, we can use the Pearson correlation coefficient (r) to measure the linear relationship between two variables, in this case, Column X and Column Y. The value of r ranges from -1 to 1, where 1 indicates a perfect positive correlation, -1 indicates a perfect negative correlation, and 0 indicates no correlation.
Here are the steps to calculate the correlation coefficient:
Calculate the mean (average) of Column X and Column Y.
Mean(X) = (10+6+39+24+35+12+33+32+23+10+16+16+35+28+5+22+12+44+15+40+46+35+28+9+9+8+35+15+34+16+19+17+21) / 32 = 24.4375
Mean(Y) = (37+10+18+12+11+34+26+9+42+24+40+1+39+24+42+7+17+17+27+47+35+14+38+18+17+22+12+30+18+43+24+45+24) / 32 = 24.8125
Calculate the deviation of each value from the mean for both Column X and Column Y.
Deviation(X) = (10-24.4375, 6-24.4375, 39-24.4375, 24-24.4375, ...)
Deviation(Y) = (37-24.8125, 10-24.8125, 18-24.8125, 12-24.8125, ...)
Calculate the product of the deviations for each pair of values.
Product(X, Y) = (Deviation(X1) * Deviation(Y1), Deviation(X2) * Deviation(Y2), ...)
Calculate the sum of the product of deviations.
Sum(Product(X, Y)) = (Product(X1, Y1) + Product(X2, Y2) + ...)
Calculate the standard deviation of Column X and Column Y.
StandardDeviation(X) = √[(Σ(Deviation(X))^2) / (n-1)]
StandardDeviation(Y) = √[(Σ(Deviation(Y))^2) / (n-1)]
Calculate the correlation coefficient (r).
r = (Sum(Product(X, Y))) / [(StandardDeviation(X) * StandardDeviation(Y))]
By performing these calculations, we find that the correlation coefficient (r) is approximately 0.413. Since the value is positive and between 0 and 1, we can conclude that there is a moderate positive relationship between Column X and Column Y.
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A circular park is 1/3 mile long. Mr. M walks on this track, completing each lap in
1/12 of an hour. What is Mr. M's walking speed? Include the unit of measure.
Answer:
1.7 m/s
Step-by-step explanation:
1/3 mile = 536 m
1/12 hour = 5 minutes = 300 second
volecity = s/t = 536 / 300 = 1.7 m/s
9514 1404 393
Answer:
4 miles per hour
Step-by-step explanation:
Speed is the ratio of distance to time:
speed = miles/hours = (1/3)/(1/12) = (4/12)/(1/12) = 4/1 = 4
Mr. M's walking speed is 4 miles per hour.
2. A lemonade recipe calls for a cup of lemon juice for every cup of water.
Use the table to answer these questions.
What does x represent?
What does y represent?
Is there a proportional relationship between x and y?
Answer:
X represents cups of lemon juice, while y represents cup of water
Step-by-step explanation:
Yes there is a proportional relationship between x and y, as they are correlated, and each cup of water equals one cups of lemon juice, in other words for each y there is an x.
hope this helped
Juan Fuentes is a computer programmer. His annual salary is
$32,190.00. Benefits he receives consist of $1,881.73 in vacation time,
holidays worth $1,287.60, health insurance premiums of
$2,300.00 paid by the employer, Social Security of $1,995.78,
Medicare of $466.76, and unemployment insurance of $541.06.
a. What are the total benefits?
b. What is the rate of benefits?
In linear equation,$7185.33 is the total benefits.
What are a definition and an example of a linear equation?
An equation with only one variable is referred to as a linear equation in one variable. It has the mathematical formula Ax + B = 0, where A and B can be any two real numbers, and x is an unknowable variable with just one possible value. One such linear equation in one variable is 9x + 78 = 18.the total benefits of Juan Fuentes = $1,881.73 + $2,300.00 + $1,995.78 +
$466.76 + $541.06
= $7185.33
the rate of benefits of Juan Fuentes = $1,287.60
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use a power series to approximate the definite integral, i, to six decimal places. 0.3 x4 1 x7 dx 0
The trapezoidal rule uses trapezoidal approximations to approximate the definite integral, whereas the midpoint rule uses rectangular regions to do so. By first approximating the original function with piecewise quadratic functions, Simpson's rule approximates the definite integral.
Since
"frac" (1-x) = (1-x)-1 = 1+x2+x3+x4+.... = "sum_n=0" infty" xn "hspace"
5mm for "left | x | 1"
How can a power-based integral be evaluated?
Power Rule for Integrals To apply this rule, simply add one to the exponent.The expression is then divided by the same number.The constant C is added in the final step. Now, we will solve some problems to determine the integrals of polynomials and root functions.
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Select the polynomial that is a perfect square trinomial.
9x^2 + 9x + 1
36b^2 − 24b + 8
16x^2 + 24x + 9
4a^2 − 10a + 25
Answer: 16x^2 + 24x + 9
Step-by-step explanation:
Simplified version: (4x+3)^2
2(x+5) = 3x+1
How to solve
Answer: x=9
Step-by-step explanation: 2(x+5+)=3x+1 or 2x+10=3x+1
Answer:
x = 9
Step-by-step explanation:
2(x + 5) = 3x + 1 Distribute the 2
2x + 10 = 3x + 1 Subtract 2x from both sides
10 = x + 1 Subtract from both sides
9 = x
Check:
2(x + 5) = 3x + 1
2(9 + 5) = 3(9)+1
2(14) = 27 + 1
28 = 28
Do you prefer calculating in scientific notation or standard notation? Why?
Make sure you explain your reasoning for full credit.
Answer:
This is about your opinion, not mine, but here's my opinion.
Don't copy and paste because anything can be found with good filters.
Essentially, just paraphrase or something.
Step-by-step explanation:
I prefer standard notation when calculating with small digits under 6 zeros because it is more visually simpler to view. When a number is involved with more digits, I prefer scientific notation because it is unlikely that I will lose track of how many digits there are.
\(x\sqrt{x} -8\)
Step-by-step explanation:
\( \sqrt[x]{x} - 8 \\ x - {8}^{x} \\ x \times x = 8 \\ 2x = 8 \\ x = \frac{8}{2} \\ x = 4\)
Explain how you can use a straightedge and a compass to construct an angle that is both congruent.
The construction of two congruent angles using a scale and compass can be done by applying the prerequisite knowledge of construction.
What is an angle?
A geometrical figure formed by using two rays, which are known as the sides of angle. These sides share a common vertex. Angle can be of various types including acute, obtuse, reflex, right, etc.
Explanation of constructing an angle using a scale and compass that is both congruent
Start drawing a line with the scale
Then, using this line or edge of the given angle to construct another corner, with the same vertex, let's call it O
Mark an arc across the sides of the corner using compass
Name the points as A and B, where the arc intersects and extend that arc beyond B
Open the compass to length of AB by setting it to the point B, and then mark an arc that intersects the first arc at point C.
Forthwith, wwe have two congruent components, AB = BC.
As the distance is OA = OB = OC, therefore, ∠AOB and ∠BOC are congruent.
Hence, this is the way of constructing congruent angles using a scale and a compass.
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Can anyone tell meh what answer you got for this equation Pls. Ill give 20 pts.
6r+7=13+7r
Answer:
r = -6
Step-by-step explanation:
6r+7=13+7r
subtract 6r from both sides. 7r-6r= 1r or r
subtract 13 from both sides. 7-13= -6
left with -6=r or r=-6
the greatest amount of sap collected
The greatest amount of sap collected from any one tree is two times.
The maximum amount of sap that can be gathered from a single tree is two times greater than the minimum amount. SAP enables businesses to innovate on anything from cancer therapies to flood mitigation. We support life-saving research and are deeply committed to social responsibility and sustainability. At SAP, we collaborate to create innovations.
Work in a stimulating and rewarding environment by joining us. Minerals and nutrients can be found in tree sap. In the spring, when new buds are growing, a sticky substance that travels through the tree and out onto the branches helps the tree produce energy. Sugars are created as a result of photosynthesis and sent back into the tree, where they serve as sustenance for the tree's growth.
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Correct Question:
The greatest amount of sap collected from any one tree is _____________
QN. Calculate the volume of a sphere of radius 7cm with a mass of 2100g
Answer:
V≈1436.76cm³
Step-by-step explanation:
check image to see how to solve it
Find the slope
I’ll give brainliest
Hurry please
Answer:
4/5
Step-by-step explanation:
rise over run
up 4, right 5
What is the equation of a line that passes through (-10,3) and is parallel to y =2x+9?
Answer:
-2/3.
Step-by-step explanation:
Answer:
y = 2x + 23Step-by-step explanation:
Given
Line y = 2x + 9Parallel line has same slope
y = 2x + bFinding b using the given point (-10, 3)
3 = 2(-10) + b3 = -20 + b3 + 20 = bb = 23So the line is:
y = 2x + 23Find the sum of the convergent series. (round your answer to four decimal places. ) [infinity] (sin(9))n n = 1
The sum of the convergent series \(\sum_{n=1}^{\infty}~(sin(1))^n\) is 5.31
For given question,
We have been given a series \(\sum_{n=1}^{\infty}~(sin(1))^n\)
\(\sum_{n=1}^{\infty}~(sin(1))^n=sin(1)+(sin(1))^2+...+(sin(1))^n\)
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is \(a_1=sin(1)\)
So, the sum is,
= \(\frac{a_1}{1-r}\)
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]
\(\sum_{n=1}^{\infty}~(sin(1))^n\)
= \(\frac{sin(1)}{1-sin(1)}\)
= \(\frac{0.8415}{1-0.8415}\)
= \(\frac{0.8415}{0.1585}\)
= 5.31
Therefore, the sum of the convergent series \(\sum_{n=1}^{\infty}~(sin(1))^n\) is 5.31
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What are the solutions of |3x + 2| > 9?
Absolute value means the distance the number zero.
(3x+2) is (3x+2) from 0.
So right now, 3x+2>9, you have to get rid of the 2 on the left side (because you don't want the variable and the constant on the same side) .
Subtract 2 from the left side and 2 from the right.
Now it is 3x > 9-2
9-2=7
3x > 7
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❀ 0ranges ❀
this is standard form (9x10 to the power of -4) to the power of 2
Answer:
9×10 to the power of -8
Step-by-step explanation:
Cause when we add power to the power we multiply them
For example \((2^{2} )^2\) , we multiply the power so , 2×2= 4 so \((2^{2} )^2\) = \(2^{4}\)=16
Same here \(((9*10)^{-4} )^2\) we multiply the powers so -4×2=-8
So \(((9*10)^{-4} )^2\) =\((9*10)^{-8}\) = 2.323×\(10^{-16}\)
D. Solve the equation 4(x + 2) = 3x + 4 algebraically. Show your work. In the Gizmo, select theSOLUTION tab to check your answer.
4(x + 2) = 3x + 4
Expand
4x + 8 = 3x + 4
Simplify
4x - 3x = 4 - 8
x = -4
Evaluate the answer
4(-4 + 2) = 3(-4) + 4
4(-2) = -12 + 4
-8 = -8 The answer is correct
The answer x = -4