Mathematics College

Please help! Refer to the image below.

Answers

Answer 1

If u = ⟨-4, 8⟩ and v = ⟨5, -18⟩, then we have

2u - 4v = ⟨-8, 16⟩ + ⟨-20, 72⟩ = ⟨-28, 88⟩

To this vector, we want to add another vector w = ⟨a, b⟩ such that

2u - 4v + w = ⟨0, 1⟩

Solve for w :

w = ⟨0, 1⟩ - ⟨-28, 88⟩ = ⟨28, -87⟩ … … … [C]

Related Questions

Why is it wrong to draw y=ln(2x-5) this way?

Answers

well because he did not do it

Notice how

2x-5 = 2x - 2*2.5 = 2(x-2.5)

This means we can replace x with x-2.5 in the second step, in the "wrong way" column.

So,

y = ln(2x)

y = ln( 2(x-2.5) )

y = ln( 2x - 2*2.5 )

y = ln( 2x - 5 )

In the second step, the x-2.5 tells the reader to shift the curve 2.5 units to the right. Therefore, the 1/2 = 0.5 would shift to 0.5+2.5 = 3 as indicated by the correct graph.

If you drive 23 miles south, make a turn and drive 39 miles east, how far are you, in a straight line, from
your starting point? Round your answer to the nearest tenth of a mile.

Answers

Answer:

45.27 miles

Step-by-step explanation:

Pythagorean theorem

23^2 + 39^2 = d ^ 2

d = 45.27 miles

If a person drives 23 miles south and make a turn to east and drive 39 miles then the distance between starting point and person is 45.27 miles.

What is pythagoras theorem?

Pythagoras theorem applies in a right angled triangle. It says that in a right angled triangle the square of hypotenuse is equal to sum of squares of perpendicular and base of that triangle.

[tex]H^{2} =P^{2} +B^{2}[/tex]

How to find distance?

When person drives towards south and then east , it forms a right angled triangle. We have to find the distance of person from the starting point. If we see the figure then we will come to know that we are require to find hypotenuse of triangle.

H=[tex]\sqrt{P^{2} +B^{2} }[/tex]

Distance=[tex]\sqrt{23^{2} +39^{2} }[/tex]

=[tex]\sqrt{1521+529}[/tex]

=[tex]\sqrt{2050}[/tex]

=45.27

Hence the distance of person from starting point is 45.27 miles.

Learn more about pythagoras theorem at https://brainly.com/question/343682

#SPJ2

Help me please permutations and computations?

Answers

Answer:

i think it's 14c5 sincce theres 5 colors to choose from .

Write each quadratic equation in general form.
I need help direly

Answers

Answer:

9. 3x² +x -2y +5 = 0

10. 4x² +x -y +4 = 0

11. 9x² -6x -3y -12 = 0

Step-by-step explanation:

"General form" of a polynomial equation is ...

f(x, y) = 0

where the terms are arranged in lexicographical order and decreasing degree. That is, for terms of the same degree, x-terms are listed before y-terms, and xy terms are listed before y-only terms.

The leading coefficient can be positive or negative, your choice. (Positive is generally preferred.) For linear equations, "standard form" has the coefficients mutually prime. Making that happen for a general form polynomial would be your choice.

The highest-degree term is 3x². If we keep the leading coefficient positive, we can get general form by subtracting the expression on the left side of the equal sign.

3x² +x -2y +5 = 0

10.

Subtracting the right side gives ...

4x² +x -y +4 = 0

11.

Subtracting the left side gives ...

9x² -6x -3y -12 = 0

3x² -2x -y -4 = 0 . . . . . . remove a common factor of 3

1. Quinn's test scores are 95, 90, and 83. What must she score on the next test to have an average
score of 90 on the four tests?

Answers

Answer:

Step-by-step explanation:

Add 95, 90, and 83 all together

add 92 to that total

divide by 4

Predicted distance traveled in 10 minutes: 3 km
(b) Lena is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
4
8
9
Cost (in dollars)
36
64
72
O The cost for each person is not always the same.
O The cost for each person appears to be the same.
Predicted number in group for a cost of $80:
Explanation
Check

Answers

Answer:

Cost for person is not always the same

For 80 dollars predicted would be 10 people

Step-by-step explanation:

4 people 36 dollars = 9 each

8 people 64 dollars = 8 each

9 people 72 dollars = 8 each seems to flatten at 8 dollars each

Which description most accurately describes the motions for the calculation -5+ (-37)?

Answers

The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.

What is an equation?

An equation is an expression used to show the relationship between two or more numbers and variables.

The expression -5+ (-37) can be solved using a number line. The motions for the calculation -5+ (-37) is given as a small movement to the left followed by a large movement to the left.

Find out more on equation at: https://brainly.com/question/2972832

Answer:

small movement to the left followed by a large movement to the left.

Step-by-step explanation:

Yan had 5 trading cards, and then his friend gave him more cards. Now he has 16 trading cards. Let t represent the number of cards his friend gave him. Write both an addition equation and a subtraction equation to model the problem.
PLEASE ANSWER IN THE NEXT 1 MINUTE.

Answers

Answer: t=11
Explanation:
5+11=16
16-11=5

Isabel wants a coat that costs $60. She has saved $42. What fraction of the
amount she needs has she saved?
A) 21/30
B) 4/6
C) 8/12
D) 1/3

Answers

given:

coat cost= $60.

to find:

the fraction of amount she needs to save.

solution:

saved/ actual cost

= $42/ $60 ÷ 2/2

= 21/30

answer= option a) 21/30

Use ABC to find the value of sin A

12/35
35/37
37/12
12/37

Answers

Answer:

The correct answer is 12/37

Noah writes the equation 3(x+7)=57 to represent the situation. Use the distributive property to write this equation another way.

Answers

Answer:

3x+21=57

Step-by-step explanation:

When we use distributive property we do

[tex]3*x[/tex] and [tex]3*7[/tex] which will like this when rewritten [tex]3x+21=57[/tex]

Check answer:

[tex]3x+21=57\\-21=-21\\3x=36[/tex] [tex]\frac{3x}{3} =\frac{36}{3}[/tex]

x=12 3(12)+21=57

36+21=57

∣_7x+4∣=<18 absolute value

Answers

Step-by-step explanation:

|7x+4|≤18

7x+4≤ 18. 7x+4≥-18

x≤2. x≥-22/7

2≤x≤-22/7

Find the slope of the line passing through the points , 2−6 and , −9−6

Answers

I will assume that we are trying to find the slope between (2,-6) and (-9,-6)

The slope's equation ⇒ [tex]\frac{y2-y1}{x2-x1}[/tex]

Let's set the variables:

(x1, y1) --> (2, -6)

(x2, y2) --> (-9, -6)

Now let's plug them in:

[tex]Slope = \frac{-6--6}{-9-2} =\frac{0}{-11} =0[/tex]

Thus the slope of the line is 0.

Hope that helps!

I hate math. Can someone pls help me?

Answers

Answer:

∠s = 158

Step-by-step explanation:

Since lines a and b are parallel,

∠s and 158 are alternate exterior angles.

Alternate exterior angles are equal if two lines are parallel.

So,

∠s = 158

Answer: 22°.

Step-by-step explanation: We're given the angle 158°, which is all we need. Angle u and 158°, have to add up to 180°. 180° - 158° = 22°, which is the angle measure of u. You're probably wondering how this will help us. The answer to that is it gives us the measurement of angle t, which is 158°. Now, we'll do the same thing we did with angle u, which was to make angle u add up with 158° to make 180°. We'll apply this to angle t and angle s. We already know that angle t is 158°, so angle s has to be 22° in order to add up to 180°. Therefore, your answer is 22° for angle s.

Let me know if this is right! :)

While on vacation, the Garner family paid $120 for 3 tickets to a water park. How much money would they have spent on 5 tickets?

Answers

Answer:

$ 200

Step-by-step explanation:

$ per ticket = $ 120 / 3 tix

Price for 5 $120 / 3 tix * 5 tix = $ 200

Which of the following best describes a circle?
A. The set of all points in a plane at a given distance from a given
point
O B. The set of all points in a plane that are equidistant from two points
C. The set of all points in a plane that are equidistant from a given
point and a given line
D. The set of all points smaller than or equal to a given distance from
a given point

Answers

The answer is a. i hope this helps

25 Points! Please tell me how to answer this.

Answers

Answer: ....

Ok done. Thank to me :>

The cost of a barrel of beans, b, fluctuates (changes) by 17% in both
directions during a three-month period.

Match the verbal description of the high cost of a barrel of beans with all equivalent expressions for b is increased by 17%.

A. b + 0.17b
B. b - 0.17b
C. b - 1.17b
D. -0.17b
E. 0.83b
F. 1.17b

Answers

Answer:

b increased by 17% =b + 17% of b =b + 0.17b =1.17b

Correct ones A and F

------------------------------------------

b decreased by 17% =b - 17% of b =b - 0.17b =0.83b

Correct ones H and K

Help me with this question about vectors.

Answers

Answer:

parallelogram

Step-by-step explanation:

sr/pq=sp/rq

ab/dc=ad/bc

Answer:

Proven.

Step-by-step explanation:

So, fasten your seatbelts, we're about to go on a long ride(◠‿・)—☆

» In a parallelogram, opposite sides are equal in length.

This can be represented (in the vector way) by

'QR = '-SP = 'PS and 'RS = 'QS (let “'” represent a vector)

'QR + 'SP= 0 and 'RS-'QS = 0

Note the signs. The signs are determined by the arrows in the diagram. [A reminder: If you walk from a point A to a point B, your displacement vector is 'AB. If you walk back, that is, from B to A; your displacement vector is 'BA which is also equal to '-AB.]

This means: to prove that PQRS is a parallelogram, we must prove that

'QR + 'SP= 0 and/or 'RS-'QS = 0.

In this solution, we will only work on the first equation.

Permit me to remove this ' sign.

QR = QC+CR ...1

QR= QB+BA+AD+DR...2

ADD 1 TO 2

2QR= QC+CR+QB+BA+AD+DR

[LOOK CLOSELY, QC+QB=0 ; CR+DR=0. This is because BQ+QC = BC

BUT, BQ=QC= (BC)/2

QC-BQ= 0

AND, -BQ= QB

QC+QB= 0 ;)]

2QR= BA+AD...3

★

SP = SA+AP...4

SP= SD+DC+CB+BP...5

ADD 4 TO 5

2SP = SA+AP+SD+DC+CB+BP

[AGAIN, SA+ SD = 0 ; AP+ BP = 0]

2SP= DC+CB...6

3+6

2QR+2SP= BA+AD+DC+CB

[ BA+AD+DC+CB, IN A SIMPLE WAY, MEANS:

you start from B, and move to A (BA); from A to D (AD); from D to C (DC); and from C to B (CB). Therefore, you have gone from B to B (from your starting point and back). Hence, your total DISPLACEMENT is zero (you haven't changed your position).

2(QR+SP) = 0

'QR+'SP= 0

PROVEN

You can work out the other equation, but it is evident that PQRS is a parallelogram.

A boat is heading towards a lighthouse, where Meena is watching from a vertical
distance of 120 feet above the water. Meena measures an angle of depression to the
boat at point A to be 18º. At some later time, Meena takes another measurement and
finds the angle of depression to the boat (now at point B) to be 44º. Find the distance
from point A to point B. Round your answer to the nearest foot if necessary.

Answers

Answer:

245 ft

Step-by-step explanation:

The geometry of the problem can be modeled by a right triangle in which Meena's height is the side opposite the angle of depression, and the distance to the boat is the side adjacent to the angle of depression. The mnemonic SOH CAH TOA reminds us of the relation ...

Tan = Oppsite/Adjacent

The more useful trig function for this problem is the inverse of the tangent function, the cotangent. Using that function, we have ...

cot(angle) = (distance to boat)/(Meena's height)

Then the distance to the boat is ...

distance to boat = (Meena's height)×cot(angle)

The change in distance from A to B is then ...

A -B = (120 ft)(cot(18°) -cot(44°))

= (120 ft)(3.0777 -1.0355) ≈ 245.06 ft

The distance from point A to point B is about 245 feet.

What is 4,321,109,432 rounded to the nearest billion?

Answers

Answer:

I think 4000000000

Answer: 4,321,109,432 rounded to the nearest billion is 4,000,000,000

Step-by-step explanation:

First, you find the billions place which is right here:

4,321,109,432

Look to the number to the right of it. Is it greater or less than 5? Since it's less, you round down to 0, leaving a 4 and 3 sets of 3 zeroes.

3x⁵. 2xy - x²y. 4x⁴ simplified

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

[tex]\qquad \tt \dashrightarrow \:(3 {x}^{5} \times 2xy) - ( {x}^{2} y \times 4 {x}^{4} )[/tex]

[tex]\qquad \tt \dashrightarrow \:6 {x}^{6} y - 4 {x}^{6} y[/tex]

[tex]\qquad \tt \dashrightarrow \:2 {x}^{6} y[/tex]

= (3x^5× 2xy) — (x^2y × 4x^4)

= 6x^6y - 4x^6y

= 2x^6y

f ( x ) = x 2 + 6 x and g ( x ) = x − 8 , calculate. f ( g ( − 5 ) ) =

Answers

[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]

Let's solve ~

First we have to calculate g (-5) :

[tex]\qquad \tt \dashrightarrow \:x - 8[/tex]

[tex]\qquad \tt \dashrightarrow \: - 5 - 8[/tex]

[tex]\qquad \tt \dashrightarrow \: - 13[/tex]

Now, let's find f (g (-5)) :

[tex]\qquad \tt \dashrightarrow \: {x}^{2} + 6x[/tex]

[tex]\qquad \tt \dashrightarrow \:( - 13) {}^{2} + (6 \times - 13)[/tex]

[tex]\qquad \tt \dashrightarrow \:169 + ( - 78)[/tex]

[tex]\qquad \tt \dashrightarrow \:169 - 78[/tex]

[tex]\qquad \tt \dashrightarrow \:91[/tex]

Henry has 1.20 pounds of cat food. He uses 0.15 pound of cat food to feed one cat. How many cats can Henry feed with the cat food he has?

Answers

He can feed 8 cants
Divided 1.20/0.15

NEED HELP ASAP!!!!
A) 12 sq. cm.
B) 6 sq. cm.
C) 12 cm
D) 6 cm

Answers

Answer:

its B- 6 sq. cm.

Step-by-step explanation:

1/2 times base times height

1/2 x 4 x 3

Answer:

The answer is given below

Step-by-step explanation:

[tex]area = \frac{1}{2} \times base \times perpendicular[/tex]

[tex]area = \frac{1}{2} \times 3 \times 4[/tex]

Area = 1/2 * 12

Area = 6

An amount of 47,000 is borrowed for 12 years at 8.25% interest, compounded annually. If the loan is paid in full at the end of that period, how much must be paid back?
Use the calculator provided and round your answer to the nearest dollar.

Answers

Answer:

$121,683.79

Step-by-step explanation:

A= P(1+ r)^t

A= Amount, P = Principal, r = Rate (decimal form), t= time

A = 47000(1+0.0825)^12

A = 47000(1.0825)^12

A = 47000(2.589016751)

A = 121683.7873

Rounded Answer = $121,683.79

(If there is meant to be no cents then $121,684). Good luck :)

Complete the following sentence.
13 cm
8 cm
8 cm
The composite figure is made up of a rectangular prism and a

Answers

Answer:

Triangular prism

Step-by-step explanation:

There is one rectangular prism at the bottom and one triangular prism at the top.

Answer:

It is a square pyramid

Step-by-step explanation:

Circle A has a center of (2,3) and a radius of 5, and circle B has a center of (1,4) and a radius of 10. What steps will help show that circle A is similar to circle B?
-Dilate circle A by scale factor of 2
- Translate circle A using the rule (x+1, y-1)
-Rotate circle A 180 degrees about the center.
-Reflect circle A over the Y axis

Answers

Answer:

-Dilate circle A by scale factor of 2

Got it right on the test (see picture)

Circle A is translated using the rule (x + 1, y - 1). Then the correct option is B.

What is a circle?

It is a locus of a point drawn an equidistant from the center. The distance from the center to the circumference is called the radius of the circle.

Circle A has a center of (2,3) and a radius of 5, and circle B has a center of (1,4) and a radius of 10.

Circle B is translated as 1 unit leftward in the x-direction and 1 unit upward in the y-direction.

Then circle B is dilated by a factor of 2.

More about the circle link is given below.

https://brainly.com/question/11833983

#SPJ2

The product of 4 and 3 is raised to the 5th
power. Which expression shows this?
A (4 X 3) 5
B(4/3)5
C 4 X 35
D 4/35

Answers

A)
It raised the product first

It would be A

Because the equation is (4x3), and this still represents the product, so it would be (4x3) to the 5th power, or (4x3)^5 to be exact

Given the same type of golf ball scenario with an equation
y=-0.005x2 +1.8x, horizontal distance of 360 feet, maximum
height of 162 feet, and using the helpful projectile motion formulas
below, answer the following.
x(t)=v, cos(6)y(t)= h, + v, - sin(0).4-1612
. 0
a.) What is the angle at which the ball takes off?
[ Select]
b.) How long is the ball in the air? (Select]
c.) What is the ball's speed when it hits the ground?
[ Select

Answers

The angle at which the ball takes off, distance the ball in the air, the ball's speed is mathematically given as

theta=60d=6.3658vo=116.486

What is the angle at which the ball takes off?

Generally, the equation for the verticle component is mathematically given as

[tex]y=xtan\theta-\frac{16x^2}{v0cos^2\theta}\\\\Therefore\\\\\theta=tan^{-1}(1.8)[/tex]

theta=60

hmax=vo^2sin^2\theta/2g

vo=116.486

Therefore, distance the ball in the air

[tex]d=\frac{2*114.486*0.874*2}{32}[/tex]

d=6.3658

The ball's speed when it hits the ground will be vo

vo=116.486