Given the vectors w = <-5, 3> and z = <1, 4>, find the results of the vector subtractions.

Answers

Answer 1

Answer:

Given two linearly independent vectors w and z

We want -w-z

Hence apply a negative gradient to w

w=-<-5,3> =<5,-3>

So <5,-3>-<1,4> = (<5-1>,<-3-4>)

The answer is <4,-7>


Related Questions

which is the mode of the data given below 24686424664​

Answers

The mode is: 6 and 4

Choose ALL the right triangles.

Answers

Answer:

Bottom left corner and bottom right corner

Step-by-step explanation:

the orange one and the blue one on the bottom

ASAP what’s the answerrr step by step pleaseee

Answers

3 1/2 is the answer I hope I help you

Step one write out the problem (1 + 1/2 +2 )

Step two add them

Which equation is correct regarding the measure of
<1?
O m_1 = {(a-c)
O mz1 = = {(a + c)
Om 1 =
= {(6-0)
O m_1 = {(b + )

Answers

Answer:

m<1 = ½(b - d)

Step-by-step explanation:

Recall: when two secants intersect to form an exterior angle outside a circle, the measure of the exterior angle equals half of the difference of the major and minor arcs intersected.

Thus, in the problem given,

m<1 is the exterior angle

b and d are the arcs intersected.

Therefore,

m<1 = ½(b - d)

The equation that is correct regarding the measure of <1 is; m<1 = ½(b - d)

What is the Secant theorem of a circle?

According to the secant theorem, it states that when two secants intersect to form an exterior angle outside a circle, then the measure of the exterior angle will be equal to half of the difference of the major and minor arcs intersected.

In the given question, we can see that;

The exterior angle = m<1

The arcs intersected are b and d

Thus, from applying the secant theorem, we can express that;

m<1 = ½(b - d)

Read more about the secant theorem at; https://brainly.com/question/26340897

3. What is the perimeter of the rectangle
given below?

Answers

Geometry

P=2l+2s

Plugin both numbers.

P=24+38

P=62

The correct answer is 62

Jiao works as an usher at a theater. The theater has 1000 seats that are accessed through five entrances. Each guest should use the entrance that's marked on their ticket. Jiao wants to test if the distribution of guests according to entrances matches the official distribution. He collects information about the number of guests that went through each entrance at a certain night. Here are the results: Entrance Expected # of people A 30% 398 B 30% 202 C 20% 205 D 10% 87 E 10% 108 Total 100% 1000 Jiao wants to perform a x' goodness-of-fit test to determine if these results suggest that the actual distribution of people doesn't match the expected distribution. # of people 398 202 205 87 108 1000 Jiao wants to perform a xa goodness-of-fit test to determine if these results suggest that the actua distribution of people doesn't match the expected distribution. What is the expected count of guests in entrance A in Jiao's sample? You may round your answer to the nearest hundredth.
Expected:______.
Show Calculator

Answers

Answer:

The answer is "300".

Step-by-step explanation:

Please find the complete solution in the attached file.

Answer:300

Step-by-step explanation:

Surface area helpp needed

Answers

Answer:

144 un²

Step-by-step explanation:

Front Parallelogram = 5 x 11 = 55

Two triangles = 3 x 4 = 12

Back Parallelogram = 3 x 11 = 33

Bottom rectangle = 4 x 11 = 44

Total =

55 + 12 + 33 + 44 = 144

units = un²

144 un²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Horizontal lines are always perpendicular to _________ lines.

Answers

Answer:

Vertical

Step-by-step explanation:

/_

The mean arrival rate of flights at O'Hare Airport in marginal weather is 195 flights per hour with a historical standard deviation of 16 flights. To increase arrivals, a new air traffic control procedure is implemented. In the next 30 days of marginal weather, the mean arrival rate is 200 flights per hour.

207 204 175 193 208 187 213 220 176 213
204 206 224 216 186 184 216 204 209 186
215 204 216 224 184 197 176 181 197 175

Required:
Set up a right-tailed decision rule at α = 0.025 to decide whether there has been a significant increase in the mean number of arrivals per hour.

Answers

Answer:

that there is no significant evidence that there is an increase in mean number of arrivals per hour

Step-by-step explanation:

The hypothesis :

H0 : μ = 195

H1 : μ > 195

We obtain the test statistic :

(xbar - μ) ÷ (σ/√(n))

xbar = 200 ; n = 30 ; σ = 16

Test statistic :

(200 - 195) ÷ (16/√(30))

5 ÷ 2.9211869

= 1.712

Using the Pvalue calculator :

Pvalue from Test statistic = 0.043

At α = 0.025

Pvalue > α ; we fail to reject the Null and conclude that there is no significant evidence that there is an increase in mean number of arrivals per hour.

A line that passes through the point (x,y), with a y-intercept of b and a slope of m, can be represented by the equation y = mx + b.

A line is drawn on the coordinate plane that passes through the point (3,-6) and has a slope of 4. The y-intercept of the line is

Answers

Answer:

b=-18

Step-by-step explanation:

If a line that passes through the point [tex]P(x_o,y_o)[/tex]and it has slope [tex]m[/tex], the equation of the line is:

[tex]y-y_o=m(x-x_o)~=>y=mx+y_o-mx_o~=>b=y_o-mx_o\\\\b=-6-4(3)=-18[/tex]

Answer:

-18

Step-by-step explanation:

someone please help!

Answers

The answer is A supplementary Angle

what's the meaning of bobo?​

Answers

bobo means fool in spanish

Someone please help me I’m stuck on this question

Answers

9514 1404 393

Answer:

  -9

Step-by-step explanation:

You are given a point and a slope, so you can write the equation of the line in point-slope form:

  y -k = m(x -h) . . . . . line of slope m through point (h, k)

  y -7 = 4(x +5) . . . . using the given point

Putting in the x- and y-values of the other point, we have ...

  -9 -7 = 4(w +5)

  -4 = w +5 . . . . . . . . . divide by 4

  -9 = w . . . . . . . . . . subtract 5

The value of w is -9.

besties can any of you help me on this because i do not know how to solve this

90 points for correct answers only

Answers

The answer is D hope this helps

Answer:

[tex] D)\displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]

Step-by-step explanation:

remember that

[tex] \displaystyle a \rm cis( \theta) \times b cis( \theta _{2}) = ab \cdot cis( \theta + \theta _{2})[/tex]

so we acquire:

[tex] \displaystyle \frac{ \sqrt{2} }{6} \rm cis \left( \frac{3\pi}{5} \right) \times \frac{ \sqrt{6} }{4} cis \left( \frac{2\pi}{3} \right) = \frac{ \sqrt{2} }{6} \times \frac{ \sqrt{6} }{4} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

simplify the left hand side

[tex] \displaystyle \rm \frac{ \sqrt{12} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

[tex] \displaystyle \rm \frac{2 \sqrt{3} }{24} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

reduce fraction:

[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} \cdot cis \left( \frac{3\pi}{5} + \frac{2\pi}{3} \right)[/tex]

simplify addition:

[tex] \displaystyle \rm \frac{ \sqrt{3} }{12} cis \left( \frac{19\pi}{15} \right)[/tex]

hence our answer is D

find the area of the shape below 22226

Answers

Answer:

12 units²

Step-by-step explanation:

A(triangle) = 1/2(2)(2) = 2 units²

A(triangle) = 1/2(2)(6) = 6 units²

A(Square) = 2(2) = 4 units²

A(Shape) = 2 + 6 + 4 = 12 units²

12 units yea yea yeaaa

Which of the following expressions is equivalent to 4.4-3 (3/4+1.126)

Answers

Answer:

-3(6/8+9/8)+4 2/5

Step-by-step explanation:

You convert decimal, you find common denominator, calculate sum of distance, rewrite, write as fraction, it is long tiresome process.


Find tan(B) in the triangle.

Answers

c. 5/12

Step-by-step explanation:

tan= opposite/adjacent

[tex]{\huge{\underline{\bf{\pink{Hello \: mate \: (◕ᴗ◕✿)}}}}} \\ \\ = > \mathcal\blue{tan \beta = perpendicular \: \div base\: } \\ \\ \mathcal\blue{=>perpendicular = 5 \: } \\ \\\blue{=>Base = 12 \: } \\ \\ \\ \huge\mathfrak\red{=>tan \beta = 5 /12\: } \\ \\ {\huge{\boxed{\sf{\green{✓✓venom✓✓}}}}}[/tex]

\int\limits^0_∞ cos{x} \, dx

Answers

Answer:

[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty)[/tex]

General Formulas and Concepts:

Pre-Calculus

Unit CircleTrig Graphs

Calculus

LimitsLimit Rule [Variable Direct Substitution]:                                                     [tex]\displaystyle \lim_{x \to c} x = c[/tex]IntegralsIntegration Rule [Fundamental Theorem of Calculus 1]:                             [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]Trig IntegrationImproper Integrals

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx[/tex]

Step 2: Integrate

[Improper Integral] Rewrite:                                                                         [tex]\displaystyle \lim_{a \to \infty} \int\limits^0_a {cos(x)} \, dx[/tex][Integral] Trig Integration:                                                                             [tex]\displaystyle \lim_{a \to \infty} sin(x) \bigg| \limits^0_a[/tex][Integral] Evaluate [Integration Rule - FTC 1]:                                               [tex]\displaystyle \lim_{a \to \infty} sin(0) - sin(a)[/tex]Evaluate trig:                                                                                                 [tex]\displaystyle \lim_{a \to \infty} -sin(a)[/tex]Evaluate limit [Limit Rule - Variable Direct Substitution]:                           [tex]\displaystyle -sin(\infty)[/tex]

Since we are dealing with infinity of functions, we can do a numerous amount of things:

Since -sin(x) is a shift from the parent graph sin(x), we can say that -sin(∞) = sin(∞) since sin(x) is an oscillating graph. The values of -sin(x) already have values in sin(x).Since sin(x) is an oscillating graph, we can also say that the integral actually equates to undefined, since it will never reach 1 certain value.

∴  [tex]\displaystyle \int\limits^0_\infty {cos(x)} \, dx = sin(\infty) \ or \ \text{unde}\text{fined}[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Improper Integrals

Book: College Calculus 10e

HELP PLEASE I need help please

Answers

9514 1404 393

Answer:

  A)  B. 18-6

  B)  20÷4

  C)  20

Step-by-step explanation:

Part A

The order of operations tells you that the first step is to evaluate any expressions in parentheses. Here, that means you first evaluate (18 -6).

__

Part B

After parentheses have been removed, the next step is to perform multiplication and division. Here, there is only one term involving division, so you divide 20 by 4 as your second step.

__

Part C

After you have done parts A and B, your expression is ...

  3 + 12 + 5

The value of this sum is 20.

What is the explicit formula for this sequence?
-5, -3,-1,1, 3, ...
A. an = (-5) + (n − 1)2
B. an = (-5) + (n - 1)(-2)
C. an = 5 + (n - 1)2
D. an = 2 + (n - 1)(-5)

Answers

Answer:

Step-by-step explanation:

A.-5+(n-1)*2 and n belong to 1 to ponitive infinity

. An aquarium contains 50 gallons of water. When the plug is pulled, water drains from the aquarium at a rate of 2 gallons per minute. How many gallons of water still remain in the aquarium after 8 minutes? ​

Answers

Answer:

34 gallons

Step-by-step explanation:

Water in tank = starting amount - rate * time

water in tank   = 50 - 2 * time

Let the time = 8 minutes

water in tank   = 50 - 2 * 8

                        = 50 - 16

                        = 34

Answer:

34 gallons still remain after 8 minutes.

Step-by-step explanation:

Variable x = gallons of water after 8 mins

2 gallons = 1 min

x gallons = 8 mins

Set up an equation:

2/1 = x/8

Cross multiply:

2 × 8 = 1 × x

16 = x

16 gallons of water are drained after 8 minutes.

Find the difference:

50 - 16 = 34

34 gallons still remain after 8 minutes.

Please help! What is the area in square units?

Answers

9514 1404 393

Answer:

  103 square units

Step-by-step explanation:

There is a way to find the area by counting grid points, but the fairly large number of them suggests that could be both tedious and prone to error. Instead, we'll chop up the figure into a trapezoid and two triangles.

From the top corner of the right edge draw a horizontal line across the figure. This will make the bottom portion a trapezoid and the top portion two triangles. The length of that horizontal line is 13 units, the height of the trapezoid, and the sum of the triangle bases.

The bottom trapezoid has a left-side base of 7 units and a right-side base of 6 units. Its area is ...

  A = 1/2(b1 +b2)h

  A = 1/2(7 +6)(13) = 1/2(13)(13) = 169/2 = 84.5 . . . square units.

The right top triangle has a base of 11 and a height of 3, so its area is ...

  A = 1/2bh

  A = 1/2(11)(3) = 33/2 = 16.5 . . . square units

The left top triangle has a base and height of 2 units each, so its area is ...

  A = 1/2(2)(2) = 2 . . . square units

Then the total area of the figure is ...

  84.5 +16.5 +2 = 103 . . . square units

_____

Check

Here is the check by counting grid points. The number of grid points on the outline of the figure is i=22. The number of grid points inside the figure appears to be b=93. Then the area by Pick's theorem is ...

  b +i/2 -1 = 93 + 22/2 -1 = 103 . . . square units

Rounding in the calculation of monthly interest rates is discouraged. Such rounding can lead to answers different from those presented here. For long-term loans, the differences may be pronounced.

You can get a car loan with a term of three years at an APR of 5%. If you can afford a monthly payment of $450, how much can you borrow? (Round your answer to the nearest cent.)
$

Answers

Answer:

15014.57

Step-by-step explanation:

effective rate: .05/12= .004166667

[tex]450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655[/tex]

Step-by-step explanation:

15014.57

Step-by-step explanation:

effective rate: .05/12= .004166667

450*\frac{1-(1+.004166667)^{-36}}{.004166667}=15014.5655450∗

.004166667

1−(1+.004166667)

−36

=15014.5655

Solve tan(x+π2)+tan(x−π2)=2 for 0≤x<2π
In the interval 0≤x <π, the solution is

Answers

Answer:

[tex]x = \pi \div 4 [/tex]

anyone know the missing angle ?

Answers

Answer:48.013

Step-by-step explanation: just found it

PLS PLS PLSSSSSSSSSSS

Answers

Answer:

20%decrease? id.k if its decrease or increase but its 20%

Step-by-step explanation:

In the figure below, ZAPE and ZEPD are congruent.
What is the arc measure of major arc BAD on circle P in degrees?

Answers

Answer:

54degrees

Step-by-step explanation:

From the given diagram;

2<P + 136 + 74 + 42  = 360 (sum of angle at a point is 360degrees)

2<P +252 = 360

2<P = 360 - 252

2<P = 108

<P = 108/2

<P = 54

Hence the measure of <P is 54degrees

PLS HELP ASAP! THANK YOU.

PS, WILL MARK BRAINLIEST

Answers

Answer:

V =110 in ^3

Step-by-step explanation:

The volume is

V = l*w*h

V = 10 * 2 * 5.5

V =110 in ^3

Please I need help! Thank you

Answers

Step-by-step explanation:

everything can be found in the picture

Answer:

h = [tex]\frac{K^2}{17}[/tex]

Step-by-step explanation:

Given

K = [tex]\sqrt{17h}[/tex] ( square both sides )

K² = 17h ( divide both sides by 17 )

[tex]\frac{K^2}{17}[/tex] = h

What is the solution to the equation below? Round your answer to two
decimal places.
ex = 7.9

Answers

The value of x will be 2.067.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

⇒ eˣ = 7.9

Now,

Since, The expression is,

⇒ eˣ = 7.9

Take natural log both side, we get;

⇒ ln eˣ = ln 7.9

⇒ x = ln 79 - ln 10

⇒ x = 4.369 - 2.302

⇒ x = 2.067

Thus, The value of x = 2.067

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ1

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