Find the dot product of the pair of vectors and indicate if they
are perpendicular or parallel:
1. a = 3, -1 b = 1, 3
2. x = 1, 2 y = 2, 4
3. v = 4, 8 u = 6, -3

Answer:

16.05

Step-by-step explanation:

multiplication

Answer:

16.05

Step-by-step explanation:

20x -1500 > 3500

company charges $20 per shirt

$1500 = fixed cost

x Is the number of T-shirts. that needed to be sold for the company to meet its goal.

Since x is multiplied by 20 which is the charge per shirt, it is the number of t-shirts ( not profit )

H0 says that the population means are equal.

In the context of a hypothesis test for the difference of means between two independent populations (x1 and x2), the null hypothesis (H0) states the following about the relationship between the two population means:
H0 says that the population means are equal.
In other words, the null hypothesis assumes that there is no significant difference between the means of the two populations. The alternative hypothesis would then state that the population means are different. Remember that hypothesis testing is a process to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis.

Visit here to learn more about  null hypothesis:

brainly.com/question/28920252

#SPJ11

Answer:

10% more this week compared to last week or for a fraction it would be 1/10 more than last week

Step-by-step explanation:

tell me if i got it right plz

and if i got it right plz mark brainliest

Answer:

A. (0, 1)

B. (10, 4)

C. (7, 7)

D. (5, 10)

Step-by-step explanation:

When changing coordinates over the y-axis, use the formula (x, y) = (-x, y)

Answer:

The volume of a cylinder is calculated by multiplying the area of the base by the height. The area of the base of a cylinder is πr², where r is the radius of the cylinder. In this case, the radius is 8 centimeters, so the area of the base is 201.06 cm². The height of the cylinder is 17 centimeters, so the volume of the cylinder is 3417.02 cm³.

The volume of a rectangular prism is calculated by multiplying the length, width, and height. In this case, the length is 15 centimeters, the width is 12 centimeters, and the height is 9 centimeters. The volume of the rectangular prism is 1620 cm³.

Since the volume of the cylinder is less than the volume of the rectangular prism, the water will not overflow.

Here is an argument that can be used to defend this solution:

The volume of the cylinder is calculated by multiplying the area of the base by the height.

The area of the base of a cylinder is πr², where r is the radius of the cylinder.

In this case, the radius is 8 centimeters, so the area of the base is 201.06 cm².

The height of the cylinder is 17 centimeters, so the volume of the cylinder is 3417.02 cm³.

The volume of a rectangular prism is calculated by multiplying the length, width, and height.

In this case, the length is 15 centimeters, the width is 12 centimeters, and the height is 9 centimeters.

The volume of the rectangular prism is 1620 cm³.

Since the volume of the cylinder is less than the volume of the rectangular prism, the water will not overflow.

Step-by-step explanation:

Answer:

answer is 15 and second one i dont know yet sorry am doing scoo

Step-by-step explanation:

Step-by-step explanation:

((8x⁶)²)⅙ = (64x¹²)⅙

= (2⁶x¹²)⅙

= 2x²

(625x⁸)¼ = (5⁴x⁸)¼

= 5x²

2x²/5x² = 2/5

Answer:

Step-by-step explanation:

To find the inverse of the function f(x) = 4x - 2, we need to switch the roles of x and y, and then solve for y:

x = 4y - 2

x + 2 = 4y

y = (x + 2) / 4

So the inverse of f(x) is g(x) = (x + 2) / 4.

To graph f(x) and g(x), we can plot their points on the same coordinate system. Here is the graph:

Graph of f(x) and g(x)

The blue line represents f(x) = 4x - 2, and the orange line represents g(x) = (x + 2) / 4, which is the inverse of f(x). Notice how the two lines are reflections of each other across the line y = x, which is a characteristic of inverse functions.

The inverse of the function is f-1(x) = (x + 2)/4

Inverse functions are pairs of functions that "undo" each other.

Specifically, if a function f maps x to y, its inverse function g maps y back to x such that g(f(x)) = x and f(g(y)) = y for all values of x and y in their respective domains

From the question, we have the following parameters that can be used in our computation:

f(x) = 4x - 2

Rewrite as

y = 4x - 2

Swap x and y

So, we have

x = 4y - 2

This gives

4y = x + 2

Divide by 4

y = (x + 2)/4

This means that the inverse is f-1(x) = (x + 2)/4

See attachment for the graph of the functions

Read more about functions at

https://brainly.com/question/3831584

#SPJ1

Answer: 12.65 cm

Step-by-step explanation:

Use the Pythagoras theorem,

a^2 + b^2= c^2

You are given the hypotenuse , which is c and another leg which is either a or b, does not particularly matter- rearrange to find the missing length

c^2 - b^2 = a^2

14^2 - 6^2 = 160

Square root 160 to find the missing length

12.65

Hope this helped :)

Answer:

the answer is (-2,1),(-1,2),(3,-1)

Step-by-step explanation:

Answer:

3348024.372

hope it helped

Answer:

New cut off salary = 30,592

Step-by-step explanation:

Given:

Normal distributed mean = $37,000

Standard deviation = $5000

Cut off salary = 10%

Find:

New cut off salary

Computation:

Z - left tale value of 10% is -1.2816

Corresponding x-value using x = zs + u

New cut off salary = (-1.2816)(5,000) + 37,000

New cut off salary = -6,408 + 37,000

New cut off salary = 30,592

Answer:

15 in.

Step-by-step explanation

AREA OF A TRIANGLE= B X H / 2

6 X 5=30

30/2=15

Given data:

The expression for the equation of the line is 6x-8y=40.

The given equation can be written as,

6x-8y=40

8y=6x-40

y=6x/8-40/8

=3x/4-5

Thus, the slope intercept form is y=3x/4-5.

The dot product of vectors a and b  || a |= 6,|| b ||= 4 and the angle between the vectors θ = π/3 is (c) 12.

The dot product of two vectors, we can use the formula:

a · b = ||a|| ||b|| cos(theta)

where ||a|| and ||b|| represent the magnitudes of vectors a and b, respectively, and theta is the angle between the vectors.

In this case, we are given that ||a|| = 6, ||b|| = 4, and the angle between the vectors is theta = π/3.

Substituting these values into the formula, we have:

a · b = 6 × 4 × cos(π/3)

To evaluate cos(π/3), we can use the fact that it is equal to 1/2. So we have:

a · b = 6 × 4 × 1/2

= 12

Therefore, the dot product of vectors a and b is 12.

To know more about dot product click here :

https://brainly.com/question/14455586

#SPJ4

Answer:

orange = Third (10000)

green = Fourth (0.01)

blue= First(0.0001)

purple = Second(0.000001)

Step-by-step explanation:

The optimal solution for the amount of cash to withdraw each time to minimize transportation costs and maximize interest earnings is determined by calculating the Economic Order Quantity (EOQ) using the formula Q = √((2 * C * T) / r), and rounding the result to a convenient amount.

The Economic Order Quantity (EOQ) model is typically used for inventory management, not for optimizing cash withdrawals. However, if we assume that the question is seeking an optimal withdrawal strategy to minimize transportation costs and maximize interest earnings, we can approach it as follows:

Let's denote:

C = Annual cash need ($5,000)

T = Transportation cost per visit ($5)

r = Annual interest rate (5%)

To find the optimal solution for the amount of cash to withdraw each time, we can consider the trade-off between transportation costs and interest earnings. The objective is to minimize the total cost.

Calculate the optimal order quantity (Q) using the EOQ formula:

Q = √((2 * C * T) / r)

Round the calculated Q to the nearest convenient amount, such as multiples of $100 or $500.

The optimal solution would be to withdraw the rounded Q amount each time to minimize transportation costs while still meeting the annual cash need.

To know more about optimal solution,

https://brainly.com/question/31964994

#SPJ11

After these 90 seconds, the time, in seconds, that it will take for the scientist to travel back to sea level at 3.6 feet per second is 12.3 seconds, rounded to the nearest tenth of a second.

The descent rate = 4.9 feet per second

The descent time = 41 seconds

The total descent distance = 200.9 feet (4.9 x 41)

The ascent rate = 3.2 feet per second

The ascent time = 49 seconds

The total ascent distance traveled = 156.8 feet (3.2 x 49)

The difference between descent and ascent distances = 44.1 feet (200.9 - 156.8)

Traveling speed to sea level = 3.6 feet per second

The time to be taken to travel to sea level = 12.25 (44.1 ÷ 3.6)

= 12.3 seconds

Learn more about time, distance, and speed at https://brainly.com/question/26046491.

#SPJ1

Answer: 3.0625 would be the answer you just have to put it in a calculator.

Answer:

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... This form of a line's equation is called the slope-intercept form, because can be interpreted as the y-intercept of the line, that is, the y-coordinate where the line intersects the y-axis.

Step-by-step explanation:

pls i rly need brainly to level up ty

Answer

THank you

Step-by-step explanation:

Answer:

gracias amigo

Step-by-step explanation:

ten un buen fin de semana se te aprecia se te aprecia

Answer:

x = 2

y = 5

Step-by-step explanation:

There are multiple ways to solve this system, but the method I used was substitution.

Substitution is basically when you plug in one equation into the other equation, then solve.

First off, you would plug y=x+3 into 3x+y=11.

So now your new equation would be 3x+(x+3)=11.

Then you solve for x.

1. Eliminate redundant parentheses. Now the equation is 3x+x+3=11.

2. Combine like terms. Since 3x + x = 4x, the equation is now 4x+3=11.

3. Subtract 3 from both sides of the equation. The new equation is 4x=8.

4. Divide both terms by 4. The answer is x=2.

Since you now know what x equals, plug in what x equals into the previous equation that included y.

So now your new equation is y=2+3.

1. Add the numbers. The answer is y = 5.

I hope this helped, good luck learning more algebra!

The price of the 5th item is $1.64 in his bag.

We have the following information from the question is:

The mean cost for each item in his bag was $3. 24.

He bought a total of 5 items, and the prices of 4 of those items are listed below:

$4. 55, $2. 53, $2. 82, $4. 66

We have to find the price of the 5th item in his bag

Now, According to the question:

Let x be the 5th item of the bag.

Let's calculate the mean value :

Mean value is state that all values added together and divided by the number of values.

=> \(\frac{4.55+2.53+2.82+4.66+x}{5}=3.24\)

Multiply both sides by 5, we get

\({4.55+2.53+2.82+4.66+x}=16.2\)

Calculate the addition :

14.56 + x = 16.2

x = 1.64

Hence, The price of the 5th item is $1.64  

Learn more about mean value at:

https://brainly.com/question/14882017

#SPJ4

Check the picture below.

so we're looking for the area enclosed like so in the picture, now, where sin(x) and cos(x) meet or intersect at least on the 1st Quadrant will be at π/4 where both are 1/√2, so we're really looking for

\(\displaystyle\int_{\frac{\pi }{4}}^{\frac{\pi }{2}}~~[sin(x)~~ - ~~cos(x)]dx\implies \int_{\frac{\pi }{4}}^{\frac{\pi }{2}}sin(x)dx~~ - ~~\int_{\frac{\pi }{4}}^{\frac{\pi }{2}}cos(x)dx \\\\\\ \left. \cfrac{}{}-cos(x) \right]_{\frac{\pi }{4}}^{\frac{\pi }{2}}~~ - ~~\left. \cfrac{}{}sin(x) \right]_{\frac{\pi }{4}}^{\frac{\pi }{2}}\implies [0]~~ - ~~\left[-\cfrac{1}{\sqrt{2}} \right]~~ + ~~[-1]~~ - ~~\left[ -\cfrac{1}{\sqrt{2}} \right]\)

\(\cfrac{1}{\sqrt{2}}-1+\cfrac{1}{\sqrt{2}}\implies \cfrac{2}{\sqrt{2}}-1\implies \sqrt{2}-1\)

The amount of material is the area of the kite

The amount of material needed for the entire kite is 48 square inches

The given parameters:

Start by calculating the area of the bottom triangle using:

\(Area = 0.5 * base * height\)

So, we have:

\(Area = 0.5 * KI * KT\)

This gives

\(Area = 0.5 * 6* 10\)

\(Area = 30\)

The amount of material used is the sum of both areas

\(Material = 30 + 17\)

\(Material = 47\)

This approximates to 48

Hence, 48 square inches of material is used for the entire kite

Read more about quadrilaterals at:

https://brainly.com/question/3183791

Answer:

c ( 48 )

Step-by-step explanation:

edg

The width point highway is \(2x^{3} + 5x^{2} +118\)

To determine the width of the highway between the two buildings, we need to subtract the distances of the buildings from the highway from the total distance between the buildings.

Let's denote the distance between the buildings as "d," the distance of the first building from the highway as "a," and the distance of the second building from the highway as "b."

To find the width of the highway, we subtract the distances of the buildings from the total distance:

Width of the highway = (3x^3 - x^2 + 7x + 100) - (2x^2 + 7x) - (x^3 + 2x^2 - 18)

Simplifying the expression, we combine like terms:

Width of the highway = \(3x^3 - x^2 + 7x + 100 - 2x^2 - 7x - x^3 - 2x^2 + 18\)

Combining like terms further:

Width of the highway = (3x^3 - x^3) + (-x^2 - 2x^2 - 2x^2) + (7x - 7x) + (100 + 18)

Simplifying again:

Width of the highway = 2x^3 - 5x^2 + 100 + 18

Combining the constant terms:

Width of the highway = 2x^3 - 5x^2 + 118

For such more question on width:

https://brainly.com/question/15161439

#SPJ8

The following question may be like this:

Two buildings on opposites sides of a highway are 3x^3- x^2 + 7x +100 feet apart. One building is 2x^2 + 7x feet from the highway. The other building is x^3 + 2x^2 - 18 feet from the highway. What is the standard form of the polynomial representing the width of the highway between the two building

The registration fee for a used car is 0.8 percent of sale price price os $5800 is $46.4.

Given the registration fees is the 0.8 percentage of the sale price then the registration fees is :

fees = 0.8% of $5,800,

fees = 5800 * 0.8/100,

fees = 58*0.8,

fees =  $46.4

To know more about percentage https://brainly.com/question/2802862

#SPJ1

Answer:

3 more girls than boys.

Step-by-step explanation:

Let's change 4:5 to 4x(boys) and 5x(girls).

Since there are 27 students, the equation would be:

4x+5x=27

Then, you simplify the equation:

9x=27

x=3

We are not finished yet!

Since there is 4x boys and 5x girls,

do 4 times 3 which gets you 12 boys

and 5 times 3 which gets you 15 girls.

15 girls minus 12 boys is 3 more girls than boys!

Hope this helps :)