Answer: the required equation is 5x - 6y + 5z = 7
Step-by-step explanation:
Given that;
points : (-1, 1, -5) and (4, -5, 0).
mid point : ( [(-1+4)/2], [(1-5)/2], [(-5+0)/2]
⇒ midpoint : ( 3/2, -2, -5/2 )
x₀ y₀ z₀
Direction vector n = [4-(-1)], [ -5 - 1], [ 0 - (-5)]
⇒ Direction vector n = < 5, -6, 5 >
General equation plane : n(x-x₀, y-y₀, z-z₀) = 0
so we substitute
⇒ (5, -6, 5) (x-3/2, y-(-2), z-(-5/2) ) = 0
⇒ (5, -6, 5) (x - 3/2, y + 2, z + 5/2) ) = 0
⇒ 5(x - 3/2) - 6(y + 2 ) + 5(z + 5/2) = 0
⇒ 5x - 15/2 - 6y - 12 + 5z + 25/2 = 0
⇒ 5x - 6y + 5z = 15/2 + 12 - 25/2
⇒ 5x - 6y + 5z = 7
Therefore, the required equation is 5x - 6y + 5z = 7
I need help someone help me
Answer:
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Step-by-step explanation:
The total number of employees in a certain company remains constant. Due to turnover, on average, the company hires 250 men and 200 women each year. On average, a woman stays with the company 50% longer than a man does. What proportion of the total employees is women?
Answer: [tex]\frac{2}{3}[/tex] of the total employees is women.
Step-by-step explanation:
Given : total number of employees remains constant.
Men hired = 250 per year
Women hired = 200 per year
Women stay 50% longer,
The number of women is: [tex]200+\frac{50}{100}\times 200=300[/tex]
The number of men is: 250
Thus total employees = 300 + 250 = 550
Proportion of women = [tex]\frac{\text {Number of women}}{\text {total employees}}=\frac{300}{550}=\frac{2}{3}[/tex]
Thus [tex]\frac{2}{3}[/tex] of the total employees is women.
Part A
Stand on -2. Which values on your number line are less than -2?
Part B
Which values are greater than -2?
Part C
Which values are farther from 0 than -2 is? Is this set of values different from the set of values greater than -2? Why?
Part D
Which values are closer to 0 than -2 is? Is this set of values different from the set of values less than -2? Why?
Answer:
11
Step-by-step explanation:
11 - 0 = 11
11 - (-2) = 14
11 is smaller than 14.
Please mark as Brainliest!!!Answer:
Part A: -3, -4, and -5 on the number line are the values that are less than -2.
Part B: -1, 0, 1, 2, 3, 4, and 5 on the number line are the values that are greater than -2.
Part C: -3, -4, -5, +3, +4, and +5 on the number lines are the values that are farther from 0 than -2, and +2 is the same.
Part D: -1 is the only value that is closer to 0 than -2.
Step-by-step explanation:
.................Mark As BRAINLIEST Please.................Estimated time: 5 mins
1. What are some things your family does on a regular basis to save money? How
often does your family do these things?
find the measure of x and y (3x-3) (4y+4) 60 degrees
Answer:
b is the right answer
Step-by-step explanation:
Your class is taking a trip to a museum that is 190 miles away. The bus can travel at 55 miles per hour. At least how many hours should your class plan for the trip to the museum?
Answer:
3 hours and 45 minutes
Step-by-step explanation:
190/55=3.4545
Please help me I need this answer
Answer:(4,-2) (-2,4)
Step-by-step explanation:
Given right triangle ABCABC with altitude \overline{BD}
BD
drawn to hypotenuse ACAC. If AD=4AD=4 and AC=11,AC=11, what is the length of \overline{AB}
AB
in simplest radical form? (Note: the figure is not drawn to scale.)
Answer:
[tex] x = 2\sqrt{11} [/tex]
Step-by-step explanation:
AD = 4
AC = 11
DC = 11 - 4 = 7
First, find BD using the right triangle altitude theorem:
[tex] BD = \sqrt{AD*DC} [/tex]
Plug in the values
[tex] BD = \sqrt{4*7} [/tex]
[tex] BD = 2\sqrt{7} [/tex]
Use pythagorean theorem to find x:
x² = AD² + BD²
Plug in the values
[tex] x^2 = 4^2 + (2\sqrt{7})^2 [/tex]
[tex] x^2 = 4^2 + (2\sqrt{7})^2 [/tex]
[tex] x^2 = 16 + (4*7) [/tex]
[tex] x^2 = 16 + 28 [/tex]
[tex] x^2 = 44 [/tex]
Take the square root of both sides
[tex] \sqrt{x^2} = \sqrt{44} [/tex]
[tex] x = \sqrt{44} [/tex]
[tex] x = \sqrt{4 * 11} [/tex]
[tex] x = 2\sqrt{11} [/tex]
Answer:
6
Step-by-step explanation:
\frac{\color{darkorange}{x}}{\color{darkgreen}{4}}=
4
x
=
\,\,\frac{\color{darkorange}{9}}{\color{darkgreen}{x}}
x
9
Use the longer leg over the shorter leg in the smaller triangle and the middle triangle
x^2=
x
2
=
\,\,36
36
Multiply both sides by 44 and xx
\sqrt{x^2}=
x
2
=
\,\,\sqrt{36}
36
Square root both sides
x=
x=
\,\,6
6
Solve for x
37 points for answer :)
Answer:
x=19
Step-by-step explanation:
x+35=54
54-35=19
x=19
Beth sold half of her comic books and then bought nine more. She now has 28.
With how many did she begin?
Answer:
38
Step-by-step explanation:
28-9=19
19x2=38
(CO 1) In a normally distributed data set of how long customers stay in your store, the mean is 31.7 minutes and the standard deviation is 1.9 minutes. Within what range would you expect 95% of your customers to stay in your store
Answer:
The range is between 27.9 minutes and 35.5 minutes.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
68% of the measures are within 1 standard deviation of the mean.
95% of the measures are within 2 standard deviation of the mean.
99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean = 31.7 minutes
Standard deviation = 1.9 minutes.
Within what range would you expect 95% of your customers to stay in your store
Within 2 standard deviations of the mean.
Lower bound: 31.7 - 2*1.9 = 27.9 minutes
Upper bound: 31.7 + 2*1.9 = 35.5 minutes
The range is between 27.9 minutes and 35.5 minutes.
what is 5(11+44-66).please answer
Answer:
55??
Step-by-step explanation:
11+44=
55-66= or -55
11 * 5 =55
Choose the properties that can be used to rewrite 2a+(10-4)
A. Distributive property
B. Commutative property
C. Associative property
The Commutative property can be used to rewrite 2a + (10 - 4)
Commutative propertyThis law simply states that with addition and multiplication of numbers, you can change the order of the numbers in the problem and it will not affect the answer.
The commutative property is satisfied not only in addition but also in multiplication. It is given by:
a + b = b + a
a * b = b * a
2a + (10 - 4) = 2a + 6
2a + 6 = 6 + 2a
The Commutative property can be used to rewrite 2a + (10 - 4)
Find out more on commutative property at: https://brainly.com/question/2475734
Write the expanded form of the number 2.76
The answer is 2×1+7×0.1+6×0.01.
The digit to the left is 2 in the ones column. You multiply 2 by 1.
The digit in the middle is 7 in the tenths column. You multiply 7 by 0.1.
The digit to the right is 6 in the hundredths column. You multiply 6 by 0.01.
When adding this all up, you get 2.76.
Evaluate.
2 • 9 – 1 =
Answer:
17
Step-by-step explanation:
You have to multiply 2 and 9 first, so the product is 18. Now you have to subtract that from 1 itself and therefore, the final answer is 17.
Hope this helps you!?!
There were 42 women and 72 men at a concert. Each ticket costs $8. How much were all the tickets to the concert
Answer:
912
Step-by-step explanation:
Answer:
Total cost of tickets = $912.00
Step-by-step explanation:
Knowns:
42 women
72 men
Each ticket = $8
First, we need to calculate the total number of attendees at the concert:
42+72 = 114
Next, we multiply the cost per ticket by the total number of attendees:
114 x $8 = $912
I hope this helps!
-TheBusinessMan
Helpppppppppppppppppp
Answer:
c. 25
Step-by-step explanation:
100/12 = 8.3
8.3 × 3 = 24.9
rounded up is 25
Six cakes cost £2.40. How much do
ten cakes cost?
There are a few ways to find out the correct answer. One of them is to divide 2.40 by 6 to get a price of one cake and then multiply it by 10:
2.40 ÷ 6 = 0.40
0.40 * 10 = 4.00
Ten cakes would cost 4 pounds.
Answer:
divide 2.40 by 6 to get a price of one cake and then multiply it by 10:
2.40 ÷ 6 = 0.40
0.40 * 10 = 4.00
Step-by-step explanation:
Find the total surface area of the figure shown.
20 cm
16 cm
10 cm
12 cm
Answer:
672
Step-by-step explanation:
(1/2×16×12)×2 + (10×12) + (10×16) + (20×10)
The total surface area of the figure is S = 672 cm²
What is the surface area of the prism?The surface area of the prism is calculated as
The formula for the surface area of a prism is SA=2B+ph, where B, is the area of the base, p represents the perimeter of the base, and h stands for the height of the prism
Surface Area of the prism = 2B + ph
The area of the triangular prism is A = ph + ( 1/2 ) bh
Given data ,
Let the area of the 2 triangles be T
Let the area of the 2 rectangles be R
Let the area of the third side be U
Now , the total surface area of the prism = T + R + U
where T = 2 x ( 1/2 ) ( 16 x 12 )
T = 192 cm²
R = ( 16 x 10 ) + ( 12 x 10 )
R = 280 cm²
And , U = 20 x 10
U = 200 cm²
Therefore , the total surface area of prism S = 192 cm² + 280 cm² + 200 cm²
S = 672 cm²
Hence , the surface area of prism is S = 672 cm²
To learn more about surface area of prism click :
https://brainly.com/question/9183590
#SPJ2
what is 12 times 6 will give brainiest
Answer:
72
Step-by-step explanation:
12 6 times
Answer:
it's 72 :>
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Bonnie withdrew $1,200 from her savings account. She spent of the money on travel arrangements. She spent of the remaining amount at the hardware store. Finally, she treated her friend to lunch with some of the remaining money. After lunch, Bonnie had $300.50 left. How much money did Bonnie spend on lunch?
Bonnie spent $
on lunch.
Answer:
19.50
Step-by-step explanation:
just trust me
Answer:
19.5
Step-by-step explanation:
The graph at the right shows this system of equations y=x-3 y=-3x+1 what is the solution. Explain how you can verify that it is a solution to both equation
Answer:
I think it would be (1,-2)
Step-by-step explanation:
I can verify that it is a solution because y=1-3 is the same solution as y=-3+1
The results would be x=-2 for both
INSTRUCTIONS:
On a separate paper, prepare a T-Account for each account listed below. (10 pts.)
Analyze and record each of the following business transactions in the appropriate T-accounts. Identify each transaction by number. (16 pts.)
After recording all transactions, compute and record each account balance appropriately. (10 pts.)
Be sure your accounting equation is accurate and is in balance. (13 pts.)
Chart of Accounts
101 Cash in Bank
110 Accounts Receivable, Roger McFall
125 Office Equipment
130 Office Furniture
135 Computer Equipment
201 Accounts Payable, Computer Warehouse, Inc.
205 Accounts Payable, Pro Computer Company
301 Pamela Wong, Capital
305 Pamela Wong, Withdrawals
400 Print revenue
500 Utility Expense
Transactions 16 Points
Pamela Wong invested additional assets in the business: cash $30,000 and office equipment $1,500. Memorandum 75
2. Purchased a desk worth $500. Check 910
3. Purchased a $3,600 computer system from Computer Warehouse, Inc. on account. Invoice CW204
4. Completed print production for Roger McFall. Sent him a bill for $600. Invoice TG601
5. Pamela Wong withdrew $2,000 from the business. Check 913
6. Received $300 from Roger McFall to apply to his account. Receipt 311
7. Issued check 914 for $1,800 to Computer Warehouse, Inc. to apply on account.
8. Paid $600 to Premier Painters for painting the office. Check 912
Answer:
vvyvyvvyvyvyvbbyefbbfbhvbfhvhfvhfvhfbvhfbvhfbvhfvfvbfvbfhvbfvf
Step-by-step explanation:
fvfnvfvfvhfbvbfdbvkurbghrsvrbagiwrgyq4tifdjbgiurwbgudfvbfsvbdhbfrifbeqyvbafwuvbrwuvbfausfbvkfdvyawrvefawevbrwugvtgbsfhvbcvfrvsafhvbarukvfshovfyuvbeuvbfoavbsfuygbreyghteufniuvehjtgidxvbtaegnveriusdfnjadnhguiwbfvkjeuigbwriokfjaicfdigseuifjgdgnsfuidvbrsguibtdgnpifuewngvhfsguipNV ijvnsidnhdfurhuaevawrbghwlabvyulzfsbvkhSDJvjsfdgntslvbdfjhgbfuyvfijgsdnvuierwnfliwdhpirqwnvdshlzcbaelfihvbglf
Answer:
the final money balance that he has in his account is $1,730
Step-by-step explanation:
i did it alreay on edge
Who’s good at geometry doing angles and naming them
Answer:
Step-by-step explanation:
1). Angle BFC and angle DFE,
Vertical angles.
2). Angle BFA and angle DFE,
Neither
3). Angle BFC and angle CFD,
Linear pair of angles.
4). Angle AFE and angle AFC,
Linear pair of angles.
5). Angle BFE and angle CFD,
Vertical angles.
6). m∠AFB + m∠AFE + m∠EFD = 180° [Linear angles]
Since, m∠AFB = m∠EFD = 50°
Therefore, 50° + m∠AFE + 50° = 180°
m∠AFE = 180 - 100
= 80°
7). m∠DFC = m∠BFE [Vertical angles]
m∠BFE = m∠BFA + m∠AFE
= 50° + 80°
= 130°
Therefore, m∠DFC = 130°
3 PART QUESTION!
I am giving 50 points for this question. But please explain this question and how to solve it, thank you!
Answer:
See below
Step-by-step explanation:
Given relationship:
d = rta) r = 3, d = 4
t = d/r = 4/3 h = 1 h 20 minb) d = 4 miles, rate = r
t = 4/r, domain is r and must be greater than zeroc) d = 4 miles, time = t
r = d/t = 4/t, domain is t and it must be greater than zerod) t = 3 h, rate = r
d = rt = 3r, domain is r and can be anything greater than zeroPLZ HELP ITS BEING TIMED PLZ SOMEONE ANSWER!!!!!
Answer: First, you identify how many rises and runs the line is from each point on a graph (intersection). Then you take the y's and the x's and do y2-y1/x2-x1 to get the slope!
solve the quadratic by completing the square:
a^2=12a-32
Answer:
a=8,4
Step-by-step explanation:
just solved it
PLEASE HELP DUE IN 20 MINUTES 20 POINTS
The admission fee to an amusement park is $23. It costs an additional d dollars to rent a locker to hold your
belongings. The total cost for 4 people to enter the amusement park and each rent a locker is $104. How
much does it cost for one person to rent a locker?
Answer:
$3
Step-by-step explanation:
Multiply 4 by 23 because there are 4 people. Then subtract that from 104 to find the overall cost of lockers. That cost is $12. Divide that by 4 to find each individual cost therefore getting our answer of $3.
Answer:
3$
Step-by-step explanation
admission fee * # of people
23*4=92
total cost - total cost of admission fee
104-92=12
leftover money / # of people = cost for 1 person
12/4=3
For one person it cost 3$
common factors of 24 and 32
Answer:
So the GCF of 24 and 32 is 8 .
Any common factor of 24 and 32 will be a factor of the GCF 8 .
Hence the positive common factors of 24 and 32 are:
1,2,4,8
Step-by-step explanation:
Divide the larger number by the smaller to give a quotient and remainder.If the remainder is 0then the smaller number is the GCF.
Otherwise repeat with the smaller number and the remainder.Answer:
Look at explanation
.
Step-by-step explanation:
24 : 1,2 3,4,6,8,12,24.
32: 1,2,4,8,16,32.
Find an angle 0 coterminal to -539°, where 0° <0<360°
Answer: that is imposibble
Step-by-step explanation: