Let u = 2i + j, v = i + j, and w = i - j. Find scalars a and b such that u= av + bw.

Answer:

(5,6)

Step-by-step explanation:

move the dot 8 spaces to the right because that is the across the y axis.

Answer:

  x = (a +b)/c

Step-by-step explanation:

Perhaps you want to solve for x.

Multiply by x:

  a + b = cx

  x = (a +b)/c . . . . . divide by c

The average ocean depth is 3.7 × 103 m, and the area of the oceans is 3.6 × 1014 m2. What is the total volume of the ocean in liters? (One cubic meter contains 1000 liters. Round your answer to one decimal place.)

Answer:

84

Step-by-step explanation:

The equation that models this situation is 1110 = 15x + 150 where x = cameras sold (note that this doesn't include the first 20 cameras, we'll add those on at the end). Let's solve for x!

1110 = 15x + 150

960 = 15x

x = 64 so the answer is 64 + 20 = 84 cameras.

Answer:

a) (1, 2) not on the graph.

b) (1, -1) is on the graph.

Step-by-step explanation:

Given the equation of the line as:

[tex]2x - y - 3 = 0[/tex]

The points given are

a) (1, 2)

To determine whether it is on the graph of the line or not.

To do so, we can do 2 things:

1. Draw the graph and plot the point on the graph to check whether it is on the graph or not.

2. To put the point in the given equation of the line, whether the equation is satisfied or not.

For method 1: Kindly refer to the attached image of the line and point plotted.

Method 2:

Let us put [tex]x=1, y=2[/tex] in the Left Hand Side (LHS) of equation.

[tex]2\times 1 - 2 - 3\\\Rightarrow -3 \neq 0 , RHS[/tex]

(1, 2) Not on the graph.

(b) (1, -1)

For method 1: Kindly refer to the attached image of the line and point plotted.

Method 2:

Let us put [tex]x=1, y=-1[/tex] in the Left Hand Side (LHS) of equation.

[tex]2\times 1 - (-1) - 3\\\Rightarrow 3-3 = 0 = RHS[/tex]

(1, -1) is on the graph.

Answer:

10r + 5

Step-by-step explanation: This is the correct answer also i just got my answer wrong lol for reals this is the correct answer

Answer:

its 10x + 5

Step-by-step explanation:

Answer:

+24 is the opposite of -24 I think

Step-by-step explanation:

Hope it will help ^_^

Answer:

Reliability= 149.94

Step-by-step explanation:

Field data have indicated that Unit A has a failure rate of 0.0004 failure per hour.

Reliability per hour=1- failure rate

Reliability per hour= 1-0.0004

Reliability per hour= 0.9996

Reliability= rate if reliability * number of hours

Rate of reliability= 0.9996 per hour

Number of hours= 150 hours

Reliability= 0.9996*150

Reliability= 149.94

Answer:

77520 according to google

Answer:

0.2

Steps:

To convert to a decimal, divide the percent number by 100.

So, 20 divided by 100 = 0.2

Answer:

[tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx = \frac{ln|x^2 + 10x + 26|}{2} + C[/tex]

General Formulas and Concepts:

Calculus

Differentiation

Derivative Property [Multiplied Constant]:                                                           [tex]\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)[/tex]

Derivative Property [Addition/Subtraction]:                                                         [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

Integration

Integration Rule [Reverse Power Rule]:                                                               [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Property [Multiplied Constant]:                                                         [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

U-Substitution

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int {\frac{x + 5}{x^2 + 10x + 26}} \, dx[/tex]

Step 2: Integrate Pt. 1

Set variables for u-substitution.

Step 3: Integrate Pt. 2

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

Unit:  Integration

Answer:

52 square in

Step-by-step explanation:

x2 is 25 by 50

The area of the new rectangle in terms of x is  2x² - 3x + 1 sq inches.

The area of a rectangle is the product of its length and width.

The perimeter of a rectangle is the sum of the lengths of all the sides.

We know the area of a rectangle is (length×width).

Given,  A paper with a width of x inches, and a length of 2x inches.

So, The area is (x×2x) sq inches.

= 2x² sq inches.

Now, he cut off one inch of both the length and the width which is,

= (x - 1)(2x - 1) sq inches.

= 2x² - x - 2x + 1 sq inches.

= 2x² - 3x + 1 sq inches.

learn more about rectangles here :

https://brainly.com/question/29123947

#SPJ2

Answer:

Option (3). EF

Step-by-step explanation:

From the figure attached,

Plane defined by EAB can be represented by the face EABF of the square prism also.

Similarly, plane EFG can be represented by the face EFGH of the prism.

Now these sides EABF and EFGH are joining each other at the edge EF of the cuboid.

Therefore, intersection of the given planes is EF.

Option (3) will be the answer.

Answer:

f(x) * g(x)

Step-by-step explanation:

Hours worked per week = 45 hours

Weekly salary = $850 plus ;

3.5% commission on sales above $6,500

Given the functions :

f(x) = 0.035x and

g(x) = x - 6,500

and the fact that Joe’s dad sold enough this week to earn commission, which composition function represents Joe’s dad’s commissions ?

Commission = 3.5 / 100 = 0.035

Let his sales for the week = x ; since his sales exceeds 6,500

Hence, sales on which commission is payable is x - 6,500

Hence, commission for the week :

0.035 × (x - 6,500)

f(x) = 0.035 ; g(x) = (x - 6,500)

Composition function:

f(x) * g(x)

Answer:

The answer is

Step-by-step explanation:

Circumference of a circle = 2πr

where

r is the radius

From the question

r = 8 yd

π = 3.14

Substitute the values into the above formula and solve

Circumference = 2(8)(3.14)

We have the final answer as

Hope this helps you

Answer:

Addition Property of Equality

Step-by-step explanation:

So we had:

[tex]3x-2=7[/tex]

And then we got:

[tex]3x=9[/tex]

We did this by adding 2 to both sides of the equation. When we added 2, the left side cancelled and the right side equated to 9:

[tex](3x-2)+2=(7)+2\\3x=9[/tex]

Since we added 2 to both sides, this is an example of the addition property of equality.

Answer:

6370.63 is the volume

Step-by-step explanation:

V=4

3πr3=4

3·π·11.53≈6370.6263

Answer:

x =-15

Step-by-step explanation:

[tex]8x-9x = \frac{150}{10} \\\\\mathrm{Add\:similar\:elements:}\:8x-9x=-x\\-x=\frac{150}{10}\\\\\mathrm{Divide\:the\:numbers:}\:\frac{150}{10}=15\\-x=15\\\\\mathrm{Divide\:both\:sides\:by\:}-1\\\frac{-x}{-1}=\frac{15}{-1}\\\\Simplify\\x=-15[/tex]

Answer:

B) 1

Step-by-step explanation:

All I did was simplify the equation

1509/1600

(Decimal: 0.943125)

HOPE THIS HELPS!!!! :)

<333333333333

Step-by-step explanation: To simplify, we will apply the Quotient Rule.

The 5's in this problem are bases so as you apply the quotient rule,

subtract the exponents but leave the base alone to get 5⁴.

We can also write 5⁴ as 5 · 5 · 5 · 5.

Answer:

A) 5*5*5*5

Step-by-step explanation:

Answer:

[tex]Per\ Capita = 64[/tex]

Step-by-step explanation:

Given

[tex]Books = 2.7 * 10^3[/tex]

[tex]People = 42[/tex]

Required

Determine the per capita

The per capita is calculated by dividing number of books by people as follows;

[tex]Per\ Capita = \frac{Books}{People}[/tex]

Substitute 2.7 * 10^3 for books and 42 for people

[tex]Per\ Capita = \frac{2.7 * 10^3}{42}[/tex]

[tex]Per\ Capita = 64[/tex] (Approximated)

Hence, the per capita is 64

Answer:

[tex]y=(x-3)^{2} -25[/tex]

Step-by-step explanation:

The standard form of a quadratic equation is [tex]y=ax^{2} +bx+c[/tex]

The vertex form of a quadratic equation is [tex]y=a(x-h)^{2} +k[/tex]

The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.

To find the h-value of the vertex, you use the following equation:

[tex]h=\frac{-b}{2a}[/tex]

In this case, our quadratic equation is [tex]y=x^{2} -6x-16[/tex]. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.

[tex]h=\frac{-b}{2a}[/tex] ⇒ [tex]h=\frac{-(-6)}{2(1)}=\frac{6}{2} =3[/tex]

Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is [tex]y=x^{2} -6x-16[/tex]

[tex]y=x^{2} -6x-16[/tex] ⇒ [tex]y=(3)^{2} -6(3)-16[/tex] ⇒ [tex]y=9-18-16[/tex] ⇒ [tex]y=-25[/tex]

This y-value that we just found is our k-value.

Next, we are going to set up our equation in vertex form. As a reminder, vertex form is: [tex]y=a(x-h)^{2} +k[/tex]

a: 1

h: 3

k: -25

[tex]y=(x-3)^{2} -25[/tex]

Hope this helps!

Answer:

The answer is below

Step-by-step explanation:

The relative frequency is the proportion of a class or interval within a category. It is represented by the formula:

Relative frequency = frequency / total frequency

The percent frequency is the relative frequency expressed in percentage, it is given by the formula:

Percent frequency = Relative frequency × 100%

Using the formulas above, the table is filled:

The total frequency = 39

Class           Frequency     Relative frequency         Percent frequency

12 - 14                  2                  2/39 = 0.0513              0.0513 × 100% = 5.13%

15 - 17                  8                  8/39 = 0.2051              0.2051 × 100% = 20.51%

18 - 20                 11                 11/39 = 0.2821              0.2821 × 100% = 28.21%

21 - 23                  9                 9/39 = 0.2308             0.2308 × 100% =23.08%

24 - 26                 9                 9/39 = 0.2308             0.2308 × 100% =23.08%

Class           Frequency     Relative frequency         Percent frequency

12 - 14                  2                  0.0513                          5.13%

15 - 17                  8                  0.2051                          20.51%

18 - 20                 11                 0.2821                          28.21%

21 - 23                  9                 0.2308                          23.08%

24 - 26                 9                 0.2308                          23.08%

Answer:

[tex]\sec^2(\theta)=\frac{25}{16}[/tex]

Step-by-step explanation:

Recall what the relationship between cosine and secant:

[tex]\sec(\theta)=\frac{1}{\cos(\theta)}[/tex]

In other words, secant is the reciprocal of cosine.

So, if we know cosine, we only need to find its reciprocal to find secant.

We are given that cosine is:

[tex]\cos(\theta)=\frac{4}{5}[/tex]

Then secant must be:

[tex]\sec(\theta)=\frac{5}{4}[/tex]

So:

[tex]\sec^2(\theta)=(\frac{5}{4})^2[/tex]

Square:

[tex]\sec^2(\theta)=\frac{25}{16}[/tex]

And we're done!

Answer:

(2,10)

Step-by-step explanation:

The x value for the green segment starts at 2 and ends at 10

Step-by-step explanation:

(i) AUC={1,2,3,4,5,6,7,8,9}