The angle a vector makes with the x-axis of a coordinate system must be what size in order to make one or more of its components negative? A) Less the 30 degrees B) between 30 and 60 degrees C) between 61 and 90 degrees D) greater then 90 degrees

Answers

Answer 1

D) greater than 90 degrees

_____
An angle greater than 90 degrees will put it in the second quadrant, where the x-component is negative.

Answer 2

Answer:

Greater than 90 degrees.

Step-by-step explanation:

Let a vector R make angle [tex]\theta[/tex] with the x-axis. Then, the component along the x-axis would be

[tex]R cos\theta[/tex]

Component along y-axis would be

[tex]R sin\theta[/tex]

For [tex]0<\theta<90[/tex] both the components will be positive and lie in the first quadrant. If angle of vector is more than 90 degrees, one of the components would be negative. For example, angle between 90 to 180 degrees, x-component would be negative while between 180-270 degrees, both the components would be negative.

Related Questions

what is the probability of picking a vowel from the word invite?

Answers

6 total letters, 3 vowels. 3/6, or 1/2.

1/2 because there are 3 vowels out of all 6 letters. So, 3/6 converts to 1/2

PLEASE HELP WILL GIVE BRAINLIEST!!!!!!! This is the graph of f(x). What is the value of f(2)?

Answers

the question answers are A 2 B 16 C 8 D 4

A ballroom in a hotel has the shape shown in the diagram. The hotel manager needs to determine how much carpet is needed to recarpet this area. All angles are right angles. The area of the ballroom is

Answers

we can separate the shape into a rectangle and a square
the area of the rectangle :
[tex]3 \times 12 = 36[/tex]
the area of the square:
[tex] {6}^{2} = 36[/tex]
the area of the whole shape:
[tex]36 + 36 = 72[/tex]
hope this helps

Answer:

126 square yards

Step-by-step explanation:

Which of the following are equivalent to 85%? 0.085, 0.85, 85/100, 19/20 ? chose all that apply?

Answers

.85 and 85/100 are the only ones within the question that are equivalent to 85%.

Jan saw 9 full moons in 252 how do I write this in a ratio

Answers

9:252

Im sure the 252 means the days.

9:252 OR 9/252 There is the ratio and the proportion.

Use the formula V = s³, where V is the volume and s is the edge length of the cube, to solve this problem. A cube-shaped container has an edge length of 23 feet. What is the volume of the container? Enter your answer, as a fraction in simplest form, in the box. ft³

Answers

The volume is 8/27 ft³.

2/3(2/3)(2/3) = (2*2*2)/(3*3*3) = 8/27.

1. A cube is a solid formed by six equal faces, this is that it has equal width, height, and length measurements. You can solve this exercise by applying the formula given in the problem to calculate the volume of the container, which is:

V=s³

s=23 ft

2. When you substitute the value of "s" into the fomula for calculate the volume (V=s³), you obtain:

V=(23 ft)³
V=12167 ft³

3. When you write it as a fraction, you have:

V=(12167/1) ft³

4. Then, the volume of the container is:

V=(12167/1) ft³

What is 0.125 Point rounded to the nearest hundredth

Answers

all you need to do is know what order (after decimals go in). Before the decimal you have, ones, tens, hundreds, etc. However, after the decimal you have tenths, hundredths. thousandths, etc. So the second value place is the hundredth place. You also have to round, so when you look at the 2( hundredths place) you look right one at the 5 (thousandths place) and see that it is somewhere from 5-9 so it makes the 2 a 3...so your answer is...

0.13

0.125 rounded to the nearest hundredth is 0.13.

We have,

To round to the nearest hundredth, we look at the digit in the thousandth place, which is 5.

Since 5 is greater than or equal to 5, we round up the hundredth digit (2) by increasing it by 1.

Therefore,

0.125 rounded to the nearest hundredth is 0.13.

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Mark wants a new car that costs $30,000. He only has $500 in his savings account and $300 in his checking account. Which financing option should he choose?

Answers

I would actually say that the best thing for Mark to do is to "Lease the car with a 0 percent down payment.". Sense he does not ave enough money to pay this car off, he would then have a better option to lease this car. By him doing this, it would help him to get to his destination faster and get things done for him.

Answer:

Mark should lease the car with 0% down payment.

Step-by-step explanation:

We know that the new car will cost = $30000.

Mark has only (500+300) = $800 with him.

That means Mark has only 2.66% of the cost of the car which is very less amount.

Thus Mark should have the car by leasing it with 0% down payment because in this way he will be able to buy or own the car with out giving any money for the car or without actually paying for the car and he can also at the same time can have his entire savings amount that he has as savings account and checking accounts.

Thus, he should lease the car with 0% down payment.

Chi needs to simplify the expression below.

Answers

she should need to do the subtraction in the parenthesis first

Subtraction. In order of operations, parenthesis comes first. Since the subtraction term is in the parenthesis, you would do that first. Then it's exponents, multiply, divide, add, and subtract. In the case that there are more than one multiplication/division operation, you would do it in the order from left to right. Same for subtraction/addition. Hope this adds a bit to your knowledge! Have a nice day :)

Suppose 6 of 15 students in a grade-school class develop influenza where 20 percent of grade-school students nationwide develope influenza.

Answers

I am not sure what the question is here. I can tell you how to find the percent of kids that developed influenza in that class. We can compare it to the 20% of students nationwide. There could many different questions that stem from the piece of information you gave.

To find the percent of kids that developed influenza in that class do 6÷15 which gives you
.4 and written as a percent would be 40%.

Please message me if you have any questions! Hope this helps!

20 PTS! What are the different shapes of a data set? Explain left and right skew and how this affects the mean of a data set.

Thanks, any help is much appreciated! :)

Answers

There are many shapes data sets could show. One example would be a symmetric data set. In this case both sides of the picture would look almost exactly or could be exactly (rarely) alike. In this case the mean could be used as a measure of center.

When the data is skewed right or left, the pictorial representation of the data will show less data points on the side where it is skewed and more data on the opposite side. The tail will be longer on the right if it is skewed right and vice versa.

In data that is skewed right, the mean will be greater than the median and if the data is skewed left, the mean will be less than the median. Tje mean is not the measure of center when the data is skewed.

VWXY is a rhombus. find the measure

Answers

8. 6m-12
9. 6m-12+4m+4
10 is the same as above.
I'm not sure about 11.

I don't have access to a calculator. LOL

8)
rhombus, all sides are equal
so
6m - 12 = 4m+4
2m = 16
m = 8

VW = 6(8) - 12
VW = 48 - 12
VW = 36

XY = VW = 36

9)
3n^2 - 0.75 = 90
3n^2 = 90.75
n^2 = 30.25
n = 5.5

so
<YVW = 2(9*5.5 +4) = 2(53.5) = 107 degrees

10)
<VYX = 1/2(360 - 2*107)
<VYX = 1/2 (360 - 214)
<VYX = 1/2 (146)
<VYX = 73 degrees

11)
<XYZ = 1/2 (73) = 36.5 degrees

Marissa bought 2 1/2 gallons of orange juice to make punch.Marissa pours 1 1/2 cups of punch in each glass.How many fluid ounces is each serving

Answers

1.5 Times 8 =12 fl oz each serving
:)

The number of miles that a commuter travels a car per day for one seven day work week is as follows: 19, 28, 17, 39, 22, 44, 56. The number of miles that a commuter travels on a bus per day for one seven day work week is as follows: 32, 26, 25, 40, 39, , 49, 22. Which method of transportation has a higher commuter average? Type either car or bus in the space provided. Use all lower case letters and do not use spaces in your answer.

Answers

car:
19 + 28 +17 +39 + 22 + 44 + 56 = 225
225/7 = 32.14

bus:
32 + 26 +25 + 40 + 39 + 49 + 22 = 233
233/7 = 33.29

the bus has the higher average

Please help!:

Charlie built a toy using a rectangular prism and cubes as shown below.

What is the surface area of the toy Charlie built?
A.650 sq cm
B.350 sq cm
C.550 sq cm
D.400 sq cm

Answers

The answer to this is A. 650. You find the surface area of the two cubes, then the rectangular prism, then you add them together.

A grain of sand has a mass of 2.6 × 10–3 gram. A grain of salt has a mass of 6.5 × 10–2 gram. How many times greater is the mass of the grain of salt than the mass of the grain of sand?

Answers

Let
x-----------> mass a grain of salt
y-----------> mass a grain of sand
r----------> ratio mass a grain of salt than mass a grain of sand

we know that
x=6.5 × 10–2 gram
y=2.6 × 10–3 gram
r=x/y----------> r=[6.5 × 10–2]/[2.6 × 10–3]----------> r=25

the answer is
the mass of the grain of salt is 25 times greater than the mass of the grain of sand

Answer:

the person above me is correct

Step-by-step explanation:

The sum of a number and its square is 2. Find the number(s).

Answers

Let x represent the number.
.. x^2 +x = 2
.. x^2 +x +1/4 = 9/4 . . . . add 1/4 to complete the square
.. x +1/2 = ±3/2 . . . . . . . .square root
.. x = -2, 1

Numbers meeting that requirement are -2 and 1.

Final answer:

The number 'x' that satisfies the condition of the sum of a number and its square equaling 2 are 1 and -2. This is determined by setting up a quadratic equation and solving for 'x'.

Explanation:

To solve this problem, let's start by defining the unknown number we are looking for as 'x'. According to the problem, the sum of a number (x) and its square (x²) equals 2. As a mathematical equation, this would be written as x + x² = 2.

Once this equation is set up, we can solve for x. However, the equation is quadratic, which means it may have two solutions. Anyway, the equation can be rearranged into the standard quadratic format as x² + x - 2 = 0. It can be factored into (x - 1)(x + 2) = 0. This gives us two potential solutions for x: x = 1 and x = -2.

To verify if these solutions are valid, we can substitute them back into the original equation: 1 + 1² = 2 is true, and -2 + (-2)² = 2 is also true. Thus, both of these numbers, 1 and -2, are solutions to the original problem.

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What is the surface area of this right rectangular prism? Enter your answer in the box. in² A rectangular prism with a length of 3 inches, a width of 1 inch, and a height of 2 inches.

Answers

Answer:

Surface Area of Rectangular Prism is 22 [tex]in^2[/tex]

Step-by-step explanation:

Given: Dimensions of Rectangular prism are Length = 3 inches, width = 1 inch and height = 2 inches.

To find: Surface Area of Rectangular Prism

Formula Used for Surface Area of Rectangualr Prism

= 2 × ( Lenght × Width + Width × Height + Height × Length )

⇒ Surface Area = 2 × ( 3 × 1 + 1 × 2 + 2 × 3 )

= 2 × ( 3 + 2 + 6 )

= 2 × ( 11 )

= 22 [tex]in^2[/tex]

Therefore, Surface Area of Rectangular Prism is 22 [tex]in^2[/tex]

Answer:

22 inches

Step-by-step explanation:

Find the slope of the line through p and q. p(0, 0), q(10, 8)

Answers

slope = change in y / change in x
slope = (8 - 0) / (10 - 0)
slope = 0.8

Final answer:

To find the slope of a line passing through points P(0, 0) and Q(10, 8), use the formula (change in y) / (change in x). The slope is calculated as (8 - 0) / (10 - 0), which simplifies to 0.8.

Explanation:

The question asks for the slope of the line that passes through two points, P(0, 0) and Q(10, 8). To find the slope, we use the formula:

Slope (m) = (change in y) / (change in x) = (y2 - y1) / (x2 - x1)

Substituting the coordinates of points P and Q, we get:

m = (8 - 0) / (10 - 0) = 8 / 10 = 0.8

Therefore, the slope of the line through points P and Q is 0.8.

solve this equation 12y=132

Answers

To solve this equation you have to find the value of y. Ask yourself "What times 12 can give me 132?"

132 / 12 = 11

12×11=132

y = 11

Emily buys the cage and two bowls for $54 the cage cost $40 each for cost the same amount what is the price of one bowl

Answers

seven dollars!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

First we do 54 take away 40 which is 14 then we divide it by 2 and then we have our answer $7.

The set of all points equidistant from the endpoints of a segment What term matches the definition? A) Central Angle Eliminate B) Perpendicular Bisector C) Segment D) Skew Lines

Answers

It is a perpendicular bisector.

Hope i helped :)

Find the absolute maximum and minimum values of f on the set
d. f(x, y) = xy2 + 2, d = {(x, y) | x ≥ 0, y ≥ 0, x2 + y2 ≤ 3}

Answers

[tex]f(x,y)=xy^2+2[/tex]
[tex]\implies\begin{cases}f_x=y^2=0\\f_y=2xy=0\end{cases}[/tex]

which occurs whenever [tex]y=0[/tex] or [tex]x=0[/tex]. Under either condition, we have [tex]f(x,0)=f(0,y)=2[/tex]. The equations above admit no other critical points on the surface, so we consider the boundaries. We already have [tex]x=0[/tex] and [tex]y=0[/tex] accounted for, so let's look at the circular part.

We can parameterize this by

[tex]\begin{cases}x=\sqrt3\cos t\\y=\sqrt3\sin t\end{cases}[/tex]

with [tex]0\le t\le\dfrac\pi2[/tex]. So now

[tex]f(x,y)=f(x(t),y(t))=F(t)=(\sqrt3\cos t)(\sqrt3\sin t)^2+2[/tex]
[tex]\implies F(t)=3^{3/2}\cos t\sin^2t+2[/tex]

which can be written in terms of cosine alone as

[tex]\implies F(t)=3^{3/2}(\cos t-\cos^3t)+2[/tex]

Now, we get critical points at

[tex]F'(t)=3^{3/2}\sin t(3\cos^2t-1)=0\implies t=0\text{ or }\arccos\dfrac1{\sqrt3}[/tex]

We omit [tex]t=0[/tex], because that gives us [tex]F(0)=2[/tex] again. Meanwhile, when [tex]t=\arccos\dfrac1{\sqrt3}[/tex], we get [tex]F\left(\arccos\dfrac1{\sqrt3}\right)=4[/tex].

Finally, we compute the corresponding critical point in terms of [tex]x,y[/tex]. We have

[tex]\begin{cases}x=\sqrt3\cos\left(\arccos\dfrac1{\sqrt3}\right)=1\\\\y=\sqrt3\sin\left(\arccos\dfrac1{\sqrt3}\right)=\sqrt2\end{cases}[/tex]

So to summarize, minimum values of 2 are obtained anywhere along the borders where [tex]x=0[/tex] or [tex]y=0[/tex], and a maximum value of 4 at [tex](x,y)=(1,\sqrt2)[/tex].

The absolute minimum and maximum values of a function are the least and highest values, the function can take.

The absolute maximum and minimum values of f are 4 and 2, respectively.

The function is given as:

[tex]\mathbf{f(x,y) = xy^2 + 2}[/tex]

First, we determine the partial derivatives of f(x,y)

[tex]\mathbf{f_x(x,y) = y^2}[/tex]

[tex]\mathbf{f_y(x,y) = 2xy}[/tex]

Substitute 0 for y in the first equation.

So, we have:

[tex]\mathbf{x = 0}[/tex]

This means that:

[tex]\mathbf{Critical\ Point = f(0,0) = 0}[/tex]

Next, we calculate the extreme values.

We have:

[tex]\mathbf{x^2 + y^2 \le 3}[/tex]

Express as an equation

[tex]\mathbf{x^2 + y^2 = 3}[/tex]

Make y the subject

[tex]\mathbf{y^2 = 3 - x^2}[/tex]

Take square roots

[tex]\mathbf{y = \sqrt{3 - x^2}}[/tex]

Substitute [tex]\mathbf{y = \sqrt{3 - x^2}}[/tex] in [tex]\mathbf{f(x,y) = xy^2 + 2}[/tex]

So, we have:

[tex]\mathbf{f(x) = x(3 -x^2) + 2}[/tex]

Open brackets

[tex]\mathbf{f(x) = 3x -x^3 + 2}[/tex]

Differentiate

[tex]\mathbf{f(x) = 3 -3x^2 }[/tex]

Set to 0

[tex]\mathbf{3 -3x^2 =0}[/tex]

Collect like terms

[tex]\mathbf{3x^2 =3}[/tex]

Divide through by 3

[tex]\mathbf{x^2 =1}[/tex]

Take square roots of both sides

[tex]\mathbf{x =\±\sqrt1}[/tex]

[tex]\mathbf{x =\±1}[/tex]

The domain is given as:

[tex]\mathbf{x \ge 1}[/tex]

So, the possible value of x is:

[tex]\mathbf{x =1}[/tex]

Substitute 1 for x in [tex]\mathbf{y = \sqrt{3 - x^2}}[/tex]

[tex]\mathbf{y = \sqrt{3 - 1^2}}[/tex]

[tex]\mathbf{y = \sqrt{3 - 1}}[/tex]

[tex]\mathbf{y = \sqrt{2}}[/tex]

So, we have:

[tex]\mathbf{(x,y) = (1,\sqrt{2})}[/tex]

This means that, the absolute maximum is at: [tex]\mathbf{(x,y) = (1,\sqrt{2})}[/tex], while the absolute minimum is at [tex]\mathbf{(x,y) = (0,0) }[/tex]

Substitute these values in f(x,y)

[tex]\mathbf{(x,y) = (0,0) }[/tex]

[tex]\mathbf{f(0,0) = 0 \times 0^2 + 2 = 2}[/tex]

[tex]\mathbf{(x,y) = (1,\sqrt{2})}[/tex]

[tex]\mathbf{f(1,\sqrt 2) = 1 \times (\sqrt 2)^2 + 2 = 4}[/tex]

Hence, the absolute maximum and minimum values of f are 4 and 2, respectively.

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what is 2/3 × 5 in simplest form

Answers

The answer is 3 1/3, and it is simplest form.

Brainliest please?

2 divided by 3 multiplied by 5/1 is best solved if kept in fraction form

2*5=10 or in decimal form 3.3333 repeating
3 1 3

Consider the graph of the linear equation 2x-5y=10. What is the x-intercept? What is the y-intercept? What is the slope?

Answers

Hey there!

This linear equation is written in standard form, a form in which it's quite easy to find intercepts for one main reason. This reason revolves around zeros. When you see an x intercept, there's always a zero for the y, and when there's a y you see a zero for the x. Therefore, we can do this to get the intercepts.

For x:

2x-5(0) =10
2x = 10
x = (5,0)

For y:

2(0) -5y = 10
-5y=10
y= (0,-2)

Now, to find the slope, we can easily convert it to slope intercept form:

y = mx+b

Where m is the slope and b is he y intercept.

2x-5y=10
-5y=-2x+10
y = 2/5x-2
(notice how we divided both sides by -5)

Therefore, our slope is 2/5. Hope this helps!

What is the area of this trapezoid? 96 in² 132 in² 168 in² 1344 in² Trapezoid A B C D with parallel sides D C and A B. Points F and E are between D and C. F E B A form a rectangle with 4 right angles. D F is 3 inches, F E is 8 inches., E C is 3 inches., E B is 12 inches., and A B is 8 inches.

Answers

Answer
132 〖in〗^2

Explanation
Although the diagram was not given, I was able to get it in the internet.
The area of a trapezium is found by the use of the following formula:
Area =1/2 h(a+b)
Where h is perpendicular distance between the two parallel lines, while a and b is are the lengths of the parallel lines.
In this question;
h=12 in
a=8 in
b=3+8+3=14 in
Area =1/2×12(8+14)
=6×22
132 〖in〗^2

Answer:

Option B. 132 inch²

Step-by-step explanation:

Since we know the formula to calculate the area of trapezoid is = [tex]\frac{1}{2}(height)(base)[/tex]

where height of the given trapezoid ABCD is side BE and two parallel sides are AB and DC.

It's given in the question

Side BE = 12 inches

AB = 8 inches

DC = (DF + FE + EC) = (3 + 8 + 3) = 14 inches

Now we put these values in the formula

Area of trapezoid ABCD = [tex]\frac{1}{2}(AB+CD).(BE) = \frac{1}{2}(8 + 14).(12)=\frac{1}{2}(22)(12)=(11).(12)=132[/tex]

Therefore answer is Option B. 132 inch²

Mr,angelo sliced two pizzas into equal parts,what fraction greater than 1 names both pizzas

Answers

I really love pizza and would like to help you with this problem. So we have two pizzas. Maybe you like Neapolitan Pizzas, or Ham and Cheese Pizza, or Pepperoni Pizza, or Hawaiian Pizza. Anyway, no matter the type of pizza what is really important is that we can write the previous statement as follows:

[tex]Number \ of \ pizzas=2[/tex]

Each pizza is sliced as shown in the figure below, so we can write the new number of pizzas as follows:

[tex]Number \ of \ pizzas=\frac{1}{2}+\frac{1}{2}+\frac{1}{2}+\frac{1}{2}[/tex]

But the problem is asking for a fraction greater than 1 to name both pizzas, then:

[tex]Number \ of \ pizzas=\frac{4}{2} \ or \ \frac{2}{1}[/tex]

Add the sum of the numbers (−5.4) and (+8.2) to the opposite number of (−2 3/4 ).

Answers

The number are (−5.4) and (+8.2).
Sum of these two numbers are = (−5.4) + (+8.2)
= -5.4 + 8.2
= 2.8
Now we are going to add this to the opposite number of (−2 3/4 ).
(−2 3/4 ) = -11/4 = -2.75
now opposite number of -2.75 is 2.75
Thus,
2.8 + (2.75)
= 2.8 + 2.75
= 5.55

What expression represents "eight more than a number cubed and 2"?

Possible Answers:

Answers

the answer is 8 + 2m cubed. hope this helped.

For a class gardening project, 1/3 of Mrs. Montoya's students planted marigolds and 1/2 planted tulips. What fraction of the class planted either marigolds or tulips?

Answers

Hi there!

To find the total fraction of the class that selected both marigolds and tulips, we need to add the two fractions together.

1/3 + 1/2 = 2/6 + 3/6

2/6 + 3/6 = 5/6

Hope this helps!

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