Vector u has a magnitude of 10inches with a direction angle of 45 degrees. vector v has a magnitude of 10 inches and a direction angle of 225 degrees. what are the magnitude and the direction angle for the resultant vector?

The value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4

The expression is given as:

(3x^5 + y^2)^2

Expand the expression

So, we have

(3x^5 + y^2)^2 = (3x^5 + y^2)(3x^5 + y^2)

Expand the bracket

(3x^5 + y^2)^2 = 9x^10 + 3x^5y^2 + 3x^5y^2 + y^4

Evaluate the sum

(3x^5 + y^2)^2 = 9x^10 + 6x^5y^2 + y^4

Hence, the value of the expression (3x^5 + y^2)^2 is 9x^10 + 6x^5y^2 + y^4

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Answer:

50

Step-by-step explanation:

Apply PEMDAS to this problem

8 × 5 = 40

Now you are left with: 40÷4×5

You then use PEMDAS from left to right from here

So 40 ÷ 4 would be 10, and now you are left with 10 × 5, which would be 50.

Answer:

From top to the bottom:

Acute,

Right,

Straight

Step-by-step explanation:

An acute angle is formed when the measure of the angle is smaller than 90° which is provided in te first image.

A right angle is formed when the measure of an angle is precisely 90° which we can see in the second image.

A straight angle is formed when the measure of an angle is precisely 180° no less no more, which we can see in the last image.

Answer:

7

Step-by-step explanation:

2+4+6+8+10+2

=42÷6(coz 6 multiples)

=7

The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting.

If we divide two numbers by each other then the upper word is called the numerator, a lower word is called the denominator, and the representation is known as the fraction.

Given that,

Maritza bought 1.5 liters of blue paint.

The given painting is going to be used 1/2 fraction of the total liters of blue paint.

1/2 of the blue paint ⇒

(1/2)1.5

⇒ (1/2)15/10

⇒ (1/2)3/2

⇒ 3/4 liters of blue paint.

Hence "The fraction of 1/2 of the number of liters of blue paint is 3/4 therefore 3/4 liters of blue paint must be used to draw that painting".

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The given question is in another language the translation in English is as follows;

Maritza bought 1.5 liters of blue paint. if I use 1/2 of the contents of that can to paint a mural

How many liters of blue paint do I use on this?

Answer:

16x² + 8x + 1

Step-by-step explanation:

(4x + 1)(4x + 1)

each term in the second factor is multiplied by each term in the first factor, that is

4x(4x + 1) + 1(4x + 1) ← distribute both parenthesis

= 16x² + 4x + 4x + 1 ← collect like terms

= 16x² + 8x + 1

Answer:

16 x 2 + 8x + 1

Step-by-step explanation:

Using the foil method we expanded the polynomial.

Answer:

x = 5

Step-by-step explanation:

All the angles of a triangle add up to 180

83 + 61 + 4x + 16 = 180

160 + 4x = 180

180 - 160 = 4x

20 = 4x

20/4 = x

5 = x

Your answer will be:

y = 9x

y = 2.5x

y = 24x

I hope this helps!

Answer:

Step-by-step explanation:

the amount of garbage started to increase around 2005 or 2007

Just plot a point anywhere they graph is straight

Answer:

2.667

Step-by-step explanation:

the thousandths place is the third place after the decimal point, going

0.123

1 is the tenths

2 is the hundredths

3 is the thousands

all you have to do is divide 4 by 15 to get 2.66666667

rounded to the thousands the answer is about 2.667

Answer: x=6

Step-by-step explanation:

[tex]5x+4x-68=34-8x\\\\9x-68=34-8x\\\\9x-68+8x=34-8x+8x\\\\17x-68=34\\\\17x-68+68=34+68\\\\17x=102\\\\Divide \ both \ parts\ of\ the\ equation\ by\ 17:\\\\x=6\\[/tex]

Your friend should have added 68 to each side of the equation, but instead subtracted 68 from the right side.

[tex]17x=34-68\\17x=-34[/tex]

Divide both parts of the equation by 17:

[tex]x=-2[/tex]

The standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

∑(x(i) - X)² = 500

n = 101

SD = √(500/101-1)

SD = √5

SD = 2.236 ≈ 2.24

Thus, the standard deviation is 2.24 if the sum of squares for a sample containing 101 items equals 500 option (C) is correct.

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Step-by-step explanation:

what??? I don't understand what are you saying?????? please speak english :(

i wish you could help you but i don't know what you're saying

Scaling transformation onto the x co ordinate by a factor of 5.

A co-ordinate system represents two points one for x axis and another for y axis in a ordered pair (x,y)

According the given question Point (w, z) is transformed by the rule (w5, z).

Here w represents x co-ordinate points and z represents y co-ordinate points.

We can observe that the x co-ordinate point have been scaled by a factor of 5.We can think of that after this transformation the line has become less steeper from origin.

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Answer:

-2

Step-by-step explanation:

[tex]Rule(s): a\frac{b}{c} = \frac{a \cdot c + b}{c}, \frac{-a}{b}=-\frac{a}{b}, \frac{\frac{a}{b}}{\frac{c}{d}}=\frac{a\cdot \:d}{b\cdot \:c} \\2\frac{2}{3}=\frac{2\cdot 3+2}{3}\\=\frac{8}{3}\\=\frac{-\frac{8}{3}}{\frac{4}{3}}\\=-\frac{\frac{8}{3}}{\frac{4}{3}}\\=\frac{-8\cdot \:3}{3\cdot \:4}\\= \frac{-24}{12}\\= -2[/tex]

Answer:

3/2

Step-by-step explanation:

xy= -2 X -3

= 6

z = 4

so xy/z is 6/4 which is 3/2.

The temperature at midnight is -8°C.

Let the initial temperature be x.

It should be noted that there are 7 hours between midnight and 7am.

Therefore, the equation will be:

x + (1.1 × 7) = -0.3

x + 7.7 = - 0.3

x = -0.3 - 7.7

x = -8

The temperature at midnight is -8°C.

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The radius of the Sphere that submerged in the water is 178.9 mm.

Volume of the Cuboid:

Volume of cuboid is the total space occupied by the cuboid in a three-dimensional space.

The general form of the Volume of the Cuboid is,

Volume of a cuboid = l × b × h    [cubic units]

Where,

l = length

b = breadth

h = height

Given,

A water tank is a cuboid 45cm long, 30cm wide and 26cm high.

It contains water to a depth of 21cm.

A sphere is placed in the tank and is fully submerged. the water level rises by 1.8cm.

Here we need to find the radius of the Sphere and we have to use the Volume of the sphere as 4/3πr³.

First, we need to find the volume of the water,

For that, we have to take the measurement of it.

l = 45 cm

b = 30 cm

h = 21 cm

( here we have to find the volume of water, so we have take the water depth as its height)

Now, the volume of the water is,

V₁ = 45 x 30 x 21

V₁ = 28350 cm³

After placed the sphere on the tank the water level is increased as 1.8 cm,

So, the new height = 21 + 1.8 = 22.8

Now the new volume is,

V₂ = 45 x 30 x 22.8

V₂ = 30780 cm³

So, the Volume of the increased water level is,

=> 30780 - 28350

=> 2430 cm³

Now we have to consider this as the Volume of the Sphere and calculate the radius through it,

=>  4/3πr³ = 2430

=> r³ = 2430 x 3/4 x π

we know that the value of π = 22/7

So,

=> r³ = 2430 x 3/4 x 22/7

=> r³ = 5727.86

=> r = ∛5727.86

=> r = 17.89

Therefore, the radius of the sphere is 17.89 cm

Now we have to convert it into mm,

=> 1 cm = 10 mm

So,

=> 17.89 cm = 178.9 mm

Therefore, the radius of the sphere is 178.9 mm.

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176/2^10 = 0.171875.

n=10, p=1/2, q=1/2

probability of student passes the quiz only if he answers 7 or more than 7 questions correctly and let it be x

P(x)=10C7(0.5)^7(0.5)^3 + 10C8(0.5)^8(0.5)^2 + 10C9(0.5)^9(0.5)^1

+ 10C10(0.5)^10(0.5)^0

=120 /1024 + 45/1024 + 10/1024 + 1/1024

P(x)=176 / 1024

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34.3 Km /h was her average velocity in km/h.

What is average velocity?

average velocity = Displacement / time taken

            V = d/ l

V = 10.3 Km/0.300m = 34.3Km

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Answer:

2x-16=10

Step-by-step explanation:

16 less is -16

twice a number is 2x because the number is unknown

Answer: 2n-16= 10

Step-by-step explanation:

Let's break this sentence into parts.

"16 less than": always translates to something -16. Hack: Whenever you see "something less than" you put a subtraction sign and that number on the right side. just like "5 less than" becomes something -5.

'twice a number': 2 times a number's value, or 2 times the number. let's say the number is 4. "twice the number" means to double it's value. 4x2=8. In this case, you  write 2n.

- 2n translates to "2 times a number". A number next to a letter means they're being multiplied.

"is 10": =10. Hack:  "is" always becomes an equals sign.

Combine

16 less than , twice a number, is 10.

2n - 16= 10

Free questions with clear explanations on this skill here:

https://www.ixl.com/math/grade-7/write-an-equation-from-wordshttps://www.ixl.com/math/grade-7/write-an-equation-from-words

Hope this helps!! :D

Answer:

a)  5.9

b)  4.2

Step-by-step explanation:

Plot the data points on the number line (see attached).

Part (a)

[tex]\begin{aligned}\textsf{Distance between Ben and Kloee} & = \sf \left| Ben - Kloee \right|\\& = \sf \left|-2.65-3\frac{1}{4}\right|\\& = \sf \left|-2.65-3.25\right|\\& = \sf \left|-5.9\right|\\& = \sf 5.9\end{aligned}[/tex]

Part (b)

[tex]\begin{aligned}\textsf{Distance between Middle school and Football field} & = \sf \left| Middle\:school-Football\:field\right|\\& = \sf \left| 1.5-5.7\right|\\& = \sf \left| -4.2 \right|\\& = \sf 4.2\end{aligned}[/tex]

Answer: When students register online, the question appears in a pop-up window that must be answered in order to proceed with registering. If students register in person, make them answer the question before their registration is processed.

Step-by-step explanation:

Answer:

100°

meron po bang D Wala namn ah

Answer:

6.913339

Step-by-step explanation:

The value of Cos(4π/3) is (-1/2) i.e., negative one half.

The given function is Cosine (Start fraction 4 pi over 3 end fraction) and this can be written simply as,

Cos(4π/3)

On splitting 4π/3 in two parts, this can also be written as

= Cos(π + (π/3))

(π + (π/3)) lies in the third quadrant and in the third quadrant the value of cosine function is negative. So, using quadrant sign for cosine function, this can be written as

= -Cos(π/3)

Now, Substitute the value of Cos(π/3) = 1/2.

= (-1/2)

Cos(4π/3) = (-1/2)

The value of Cos(4π/3) is (-1/2) i.e., negative one half.

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Answer:

It's B

Step-by-step explanation: