The vector w = ai + bj is perpendicular to the line ax + by = c and parallel to the line bx - ay = c. It is also true that the acute angle between intersecting lines that do not cross at right angles is the same as the angle determined by vectors that are either normal to the lines or parallel to the lines. Use this information to find the acute angle between the lines below.
5x + 9y = 2, 7x + 2y = 1
The angle is _______ radians.
(Type an exact answer, using pi as needed)

Answers

Answer 1

Answer:

fgvilgiuhuikj

Step-by-step explanation:??????????????


Related Questions

Why is the number of operators per shift multiplied by approximately 4.5 to obtain the total number of operators required to run the plant

Answers

I believe you meant "why is the number of shifts multiplied by approximately 4.5 to obtain the total number of operators required to run the plant"

Answer and Explanation:

There are 3 shifts per day, 49 weeks per year and 5 shifts per operator per week

To get total number of operators required to run the plant, we multiply number of shifts in a year by number if operators per shift.

49 weeks×5 shifts= 245 shifts per operator per year

365×3 shifts= 1095 shifts per year

1095/245=4.5 operators per shift

total number of operators required to run the plant(per day) = 4.5×3= 13.5 approximately 14

total number of operators required to run the plant(per year) =4.5×1095=4927.5 approximately 4928

∠A and \angle B∠B are vertical angles. If m\angle A=(5x-9)^{\circ}∠A=(5x−9) ∘ and m\angle B=(8x-30)^{\circ}∠B=(8x−30) ∘ , then find the value of x

Answers

9514 1404 393

Answer:

  x = 7

Step-by-step explanation:

Vertical angles have the same measure, so ...

  m∠A = m∠B

  (5x -9)° = (8x -30)°

  21 = 3x . . . . . . . . . divide by °, add 30-5x

  7 = x . . . . . . . . . . divide by 3

What is the sum of 4th squared number and the 2nd cube number

Answers

Answer:

mark me as brinalist if answers are correct

The answer above is correct!

simplify 2x²y²÷m³×m²÷2xy​

Answers

x^3y^3 divided by m is the answer

This is the graph of y=x^2+2x-2 what is the range of this function

Answers

The range is [-3, ∞)

The Sureset Concrete Company produces concrete. Two ingredients in concrete are sand (costs $6 per ton) and gravel (costs $8 per ton). Sand and gravel together must make up exactly 75% of the weight of the concrete. Also, no more than 40% of the concrete can be sand and at least 30% of the concrete be gravel. Each day 2000 tons of concrete are produced. To minimize costs, how many tons of gravel and sand should be purchased each day

Answers

Answer:

The Sureset Concrete Company

The tons of gravel and sand that should be purchased each day are:

Sand = 800 tons

Gravel = 700 tons

Step-by-step explanation:

Two ingredients for producing concrete = sand and gravel

Cost of sand per ton = $6

Cost of gravel per ton = $8

Sand and gravel = 75% of the concrete

Therefore 25% (100 - 75%) will be made up of cement and water

Tons of concrete produced each day = 2,000

Sand and gravel = 1,500 (2,000 * 75%)

Sand <= 40% of 2,000 = 800 tons

Gravel => 30% of 2,000 = 700 (1,500 - 800) tons

To minimize costs,  800 tons of gravel and 700 tons of sand should be purchased each day.

Total cost incurred daily for both sand and gravel = $10,400 (800 * $6 + 700 * $8)

One hundred sixty people were surveyed and asked if believed in ufos, ghosts, and bigfoot. 42 believed in ufos 45 believed in ghosts 21 believed in bigfoot 11 believed in ufos and ghosts 6 believed in ghosts and bigfoot 4 believed in ufos and bigfoot 2 believed in all three how many people surveyed believed in at least one of these ?

Answers

Answer:

[tex]P(A\cup B \cup C)=89[/tex]

Step-by-step explanation:

From the question we are told that:

Believed in UFO's [tex]A=42[/tex]

Believed in Ghosts [tex]B=45[/tex]

Believed in Bigfoot [tex]C=21[/tex]

Believed in UFO's & Ghosts [tex]A&B=11[/tex]

Believed in Ghosts & Bigfoot [tex]B&C=6[/tex]

Believed in UFO's & Bigfoot [tex]A&B=4[/tex]

Believed in ALL [tex]A&B&C=2[/tex]

Generally with a well detailed Set diagram of the Number of People that that believed in at least one of them is mathematically given by

 [tex]P(A\cup B \cup C)=n(A\cap C)-n(B\cap C) +n(A\cap B \cap C)[/tex]

 [tex]P(A\cup B \cup C)=42+45+21-11-6-4+2[/tex]

 [tex]P(A\cup B \cup C)=89[/tex]

what is the perimeter of a triangle?

Answers

Answer:

P = side a + side b + side c

Step-by-step explanation:

The perimeter of any polygon is all sides added together.

Answer:

3 X sides please mark me brainlist

A batch consists of 12 defective coils and 88 good ones. Find the probability of getting two good coils when two coils are randomly selected (without replacement).

Answers

Answer:

The probability of getting two good coils is 77.33%.

Step-by-step explanation:

Since a batch consists of 12 defective coils and 88 good ones, to determine the probability of getting two good coils when two coils are randomly selected (without replacement), the following calculation must be performed:

88/100 x 87/99 = X

0.88 x 0.878787 = X

0.77333 = X

Therefore, the probability of getting two good coils is 77.33%.


A ball is thrown upward with an initial velocity (v) of 15 meters per second. Suppose that the initial height (h) above the ground is 7
meters. At what time will the ball hit the ground? The ball is on the ground when S = 0. Use the equation S = -52 + vt + h.
The ball will hit the ground in how many
seconds?

Answers

Answer:

Step-by-step explanation:

Your equation is weird. The position equation for this situation is

[tex]s(t)=-4.9t^2+15t+7[/tex] and set it equal to 0 to solve for the time it takes to hit the ground. Those times come out to be

t = 3.47 sec and t = -.411 sec. But since time can never be negative, our time is 3.47 seconds

(What is that -52?)

help me with this please pleaseee!

Answers

Answer:

2

Step-by-step explanation:

Since the two rectangles are similar, the ratio of their similar sides will be a constant k

Hence;

18/9 = 12/6 = k

Since they are all the same, then;

k = 18/9

k = 2

Hence the scale factor is 2

Answer:

D. 1/2

Step-by-step explanation:

The scale factor is the ratio of corresponding sides:

k = 9/18 = 1/2

or

k = 6/12 = 1/2

Correct choice is D

Which of the following can be constructed by drawing an angle on tracing
paper and then folding the paper so that the rays forming the angle lie upon
each other?
A. Parallel lines
• B. Angle bisector
• C. Median of a line segment

D. Perpendicular line segment

Answers

B. angle bisector.

i hope this helps

A six sided number cube rolled once. what is the probability of landing on a multiple of 2. write the probability as a fraction, percent and decimal.

Answers

Answer:

12 is the correct answer

identify an equation in slope-intercept form for the line parallel to y=-3x+7 that passes through (2,-4)

Answers

Answer:

y = -3x + 2

Step-by-step explanation:

If two lines are parallel to each other, they have the same slope.

The first line is y = -3x + 7. Its slope is -3. A line parallel to this one will also have a slope of -3.

Plug this value (-3) into your standard point-slope equation of y = mx + b.

y = -3x + b

To find b, we want to plug in a value that we know is on this line: in this case, it is (2, -4). Plug in the x and y values into the x and y of the standard equation.

-4 = -3(2) + b

To find b, multiply the slope and the input of x (2)

-4 = -6 + b

Now, add 6 to both sides to isolate b.

2 = b

Plug this into your standard equation.

y = -3x + 2

This equation is parallel/perpendicular to your given equation (y = -3x + 7) and contains point (2, -4)

Hope this helps!

Find a power series representation for the function. (Give your power series representation centered at x = 0.)
f(x) = x2 x 4 + 81
f(x) = [infinity] n = 0.

Answers

Answer:

attached below

Step-by-step explanation:

The Function; F(x) = x^2 / (x^4 + 81 )

power series representation

F(x) = x^2 / ( 81 + x^4 )

      = ( x^2/81 ) / 1 - ( -x^4/81 )

attached below is the remaining part of solution

Help me write this as an absolute value function!

Answers

Answer:13

Step-by-step explanation:11

help please!!!!!!!!!!!!!!!!!!!!!:):)​

Answers

Answer:

1-g

2-b

3-a

4-i

5-f

6-e

7-d

8-c

The graph below has the same shape as the graph of G(x) = x, but it is
shifted three units to the right. Complete its equation. Enter exponents using
the caret (-); for example, enter x4 as x^4. Do not include "G(x) =" in your
answer.
G(x) =

Answers

Step-by-step explanation:

The graph of Fx), shown below in pink, has the same shape as the graph of G(x)-x, but it is shifted to the right two units. Complete its equation below Enter exponents using the caret (a), for example, enter x as x 4. Do not include Fx)-in your answer. .5 5 F(x) = Answer: 0

The equation of the graph is,

⇒ G (x) = (x - 3)⁴

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The graph of function G (x) is shown in image.

Here, The graph is 3 units left to function F (x) = x⁴.

Hence, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

Thus, The equation of the graph is,

⇒ G (x) = (x - 3)⁴

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

In this triangle, D is the midpoint of AB and E is the midpoint of BCIf AC = 36 what is the length of DE?

Answers

Answer:

A. 18

Step-by-step explanation:

Recall: the Mid-segment Theorem states that the length of the mid-segment theorem of a triangle is half the length of its third side.

DE = ½(AC) (Triangle Mid-segment Theorem)

AC = 36 (given)

Plug in the value

DE = ½(36)

DE = 18

kxndjdkdkdkkdkskskdkdjdjdjskskskdjdjddjd​

Answers

Answer:

Not a functionFunctionFunctionNot a functionNot a function

Hope this helps!

what is the value of -2(7-15)/4

Answers

the value is 4 hope it helps
the value is 4 hope this helps

in an examination 30% of the candidates failed in English and 35% failed in general studies and 27% failed in both subjects.if310 candidates passed in both how many candidates appeared in the examination​

Answers

Answer:

500

Step-by-step explanation:

When 50% of a number is added to the number, the results is 165

Answers

Answer:

this would look like

0.5x+x=165

1.5x=165

x=110

Hope This Helps!!!

Log(4) 5 + log (4) ? =log(4) 35

Answers

Answer:

7

Log(4) 5 + log (4) 7 =log(4) 35

Step-by-step explanation:

Please ignore the writing in blue as I tried to work it out but couldn’t

Answers

Answer:

[tex]k=35[/tex]°

Step-by-step explanation:

The degree measure of a straight line is (180) degrees. Therefore, when a line intersects another line, the sum of angle measures on any one side of the line is (180). One can apply this here to find the supplement (the angle on the same side of the line) of the angle with a measure of (130) degrees, and (85) degrees.

[tex]130 + (unknown_1)=180\\unknown_1=50\\\\85+(unknown_2)=180\\unknown_2=95[/tex]

The sum of angle measures in a triangle is (180) degrees, one can apply this here by stating the following;

[tex](unknown_1)+(unknown_2)+(k)=180[/tex]

Substitute,

[tex]50+95+k=180[/tex]

Simplify,

[tex]50+95+k=180\\\\145+k=180\\\\k=35[/tex]

[tex]\sf \bf {\boxed {\mathbb {TO\:FIND :}}}[/tex]

The measure of angle [tex]k[/tex].

[tex]\sf \bf {\boxed {\mathbb {SOLUTION:}}}[/tex]

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf {k\:=\:35°}}}}}}[/tex]

[tex]\sf \bf {\boxed {\mathbb {STEP-BY-STEP\:\:EXPLANATION:}}}[/tex]

We know that,

[tex]\sf\pink{Sum\:of\:angles\:on\:a\:straight\:line\:=\:180°}[/tex]

➪ [tex]x[/tex] + 85° = 180°

➪ [tex]x[/tex] = 180° - 85°

➪ [tex]x[/tex] = 95°

Also,

Exterior angle of a triangle is equal to sum of two opposite interior angles.

And so we have,

➪ 130° = [tex]k[/tex] + [tex]x[/tex]

➪ [tex]k[/tex] + 95° = 130°

➪ [tex]k[/tex] = 130°- 95°

➪ [tex]k[/tex] = 35°

Therefore, the value of [tex]k[/tex] is 35°.

[tex]\sf \bf {\boxed {\mathbb {TO\:VERIFY :}}}[/tex]

[tex]\sf\blue{Sum\:of\:angles\:of\:a\:triangle\:=\:180°}[/tex]

➪ 50° + 35° + 95° = 180°

( where 50° = 180° - 130°)

➪ 180° = 180°

➪ L. H. S. = R. H. S.

Hence verified.

(Note: Kindly refer to the attached file.)

[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{ヅ}}}}}[/tex]

15 greater than y is at least 150 interval notation

Answers

Step-by-step explanation:

I think this is the ans and I have got this ans from brainly.

HELP PLSSSSS
Solve each system with substitution

Answers

Answer:

x = -1 and y = -3

Step-by-step explanation:

1.

y = x-2 ....(1)

y = 4x+1 ....(2)

Put the values of y from equation (1) to (2).

x-2 = 4x+1

-2-1 = 4x - x

-3 = 3x

x = -1

Now put the value of x in equation (1).

y = -1-2

y = -3

So, the values of x and y are -1 and -3 respectively.

I'm not sure if this will be easy for some of you I really need help

Answers



8t-(5-2t) = 5(2t-1)

distribute the negative on the left side, distribute on the right

8t-5+2t = 10t-5

combine like terms

10t-5 = 10t-5

t=0 or (-infinity, infinity)


rotation 90° clockwise about the origin​

Answers

Answer:

Take the picture you uploaded.

Click the rotate 'button' once.

Change the x to y and y to x on the graph. (axis labels)

Done

J (0, -1)

K(-4,-3)

I ( -4,-1)

what number when multiplied by 5 is one third of the sum of 64 and 56?​

Answers

Answer:

8

Step-by-step explanation:

Create an expression to model the situation. One can do this by simply rewriting the written expression in terms of numbers and variables. Use the variable (x) to represent the unknown value.

[tex]5(x)=\frac{1}{3}(64+56)[/tex]

Simplify this expression,

[tex]5(x)=\frac{1}{3}(64+56)\\5x=\frac{1}{3}(120)\\5x=40\\[/tex]

Use inverse operations to solve for (x),

[tex]5x=40\\x=8[/tex]

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Find the value of x in the kite below.60Ox = [?] You have $1000 to invest in two different accounts. To save the money you need for college, you need to average 5.7 percent interest. If the two accounts pay 4 percent and 6 percent interest, how much should you invest in each account?$550 in 4%, $450 in 6%$300 in 4%, $700 in 6%$700 in 4%, $300 in 6%$150 in 4%, $850 in 6% A manufacturing company's finished goods inventory on January 1 was $68,000; cost of goods manufactured for the year was $147,000; and the December 31 finished goods inventory was $77,000. What is the cost of goods sold for the year Giannitti Corporation bases its predetermined overhead rate on the estimated machine-hours for the upcoming year. Data for the upcoming year appear below:Estimated machine-hours 72,900 Estimated variable manufacturing overhead $ 3.50 per machine-hourEstimated total fixed manufacturing overhead 838,710 The predetermined overhead rate for the recently completed year was closest to:________.A. $6.66 per machine-hourB. $10.50 per machine-hourC. $8.69 per machine-hourD. $15.00 per machine-hour what ordered pair makes both inequalities true-3,5-2,2-1,-30,-1 write a letter to your district chief executive telling him/ her three problem facing my locality round off to nearest 100 to 221 Nachelle went to the store to buy some almonds. The price per pound of the almonds is $6.50 per pound and she has a coupon for $4.75 off the final amount. With the coupon, how much would Nachelle have to pay to buy 5 pounds of almonds? Also, write an expression for the cost to buy pp pounds of almonds, assuming at least one pound is purchased. A venture capital company feels that the rate of return (X) on a proposed investment is approximately normally distributed with mean 30% and standard deviation 10%. (a) Find the probability that the return will exceed 55%. (b) Find the probability that the return will be less than 25% (c) What is the expected value of the return? (d) Find the 75th percentile of returns. If a student walked 2 feet straight to the chalk board in 2 seconds andthen walked 2 feet back to his or her original position at his or her desk atthe same speed, what was the student's displacement at 2 secondscompared to 0 seconds?O 6 feetO O feetO2 feetO 4 feet Classifying Liability-Related Accounts into Balance Sheet or Income Statement Indicate the proper financial statement classification (balance sheet or income statement) for each of the following liability-related accounts. Account Financial Statement a. Gain on Bond Retirement Answer Income statement b. Discount on Bonds Payable Answer Balance sheet c. Mortgage Notes Payable Answer Balance sheet d. Bonds Payable Answer Balance sheet e. Bond Interest Expense Answer Income statement f. Bond Interest Payable (due next period) Answer Balance sheet g. Premium on Bonds Payable Answer Balance sheet h. Loss on Bond Retirement Answer Income statement Check The element least likely to obey the octet rule in forming chemical bonds is Group of answer choices oxygen. carbon. nitrogen. neon. fluorine. Far behind does anyone know this? Who created the military districts show here? solve the following problems In AJKL, mZJ = (8x + 6)", mZK = (2x + 2), and mL = (4x + 4). Find m_L. A garden store pays $85 for a planter. The percent of markup is 35%. What is the selling price of the planter please help thank you!!! Would this pressure difference be greater or smaller if the scuba diver were in seawater (density 1050 kg/m3 ) and went to the same depth you calculated in question D1, took and held his breath, and then returned to the surface Mixedwood Plains: Too Popular?