Which expression is equivalent to 312 • 79?

The ground speed (G) is given as

.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]

The correct potion is B.

The quantity which has magnitude, direction and follows the law of vector addition is called a vector.

An airplane is flying in the direction of 30 degrees South of West at 600 mph. A wind is blowing in the direction of 60 degrees North of East at 40 mph.

It means the airplane is flying in the opposite direction of the wind.

The component of an airplane will be

[tex]x=-600sin30\\\\x=\dfrac{-600}{2}=-300\\\\y=-600cos30\\\\y=\dfrac{-600 \sqrt{3}}{2}}[/tex]

The component of wind will be

[tex]x=40cos60\\\\x=\dfrac{40}{2}=20\\\\y=40sin45\\\\y=\dfrac{40\sqrt{3}}{2}}[/tex]

Then the ground speed will be

.[tex]G=\sqrt{(600\dfrac{\sqrt{3}}{2}+20)^2+(300+40\dfrac{\sqrt{3}}{2}})^2}[/tex]

Then the correct potion is B.

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Answer:

C and B

Step-by-step explanation:

C and B

Answer:

200

Step-by-step explanation:

The amount you need to increase your monthly net savings by is C. $200.

Amount to save next year

= Goal - Current savings

= 4,500 - 900

= $3,600

Monthly savings amount

= 3,600 / 12

= $300 per month

Amount to increase savings by

You care already saving $100 so you need to increase by:

= 300 - 100

= $200

Answer:

200

Step-by-step explanation:

Edge 2022

Answer: New cost of Barcelona ticket is £164.5

Given that:

the money of is  Barcelona ticket = £175

Decrease rate = 6%

Find:

New cost of Barcelona ticket

Computation:

New cost of Barcelona ticket = Cost of Barcelona ticket - [Cost of Barcelona ticket][Decrease rate]

New cost of Barcelona ticket = 175 - [175][6%]

New cost of Barcelona ticket = 175 - 10.5

New cost of Barcelona ticket = £164.5

Answer:

equally likely

Step-by-step explanation:

Rainbows usually appear after it rains, but not always, there usually has to be certain specific conditions for it to happen.

Hope this helps! Have a good day! :)

The options that are prime polynomials are,

15x^2  +10x -9x+7, 8x^3+20x^2+3x+12 and 11x^4+4x^2-6x^2-16

A polynomial with integer coefficients that cannot be factored into polynomials of lower degree, also with integer coefficients, is called an irreducible or prime polynomial.

To determine all options in order to check that the polynomials are prime or not:

1). 15x^2  +10x -9x+7

5x(3x + 2) - (9x - 7)

Therefore,  this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

2). 20x^2-12x+30x-18

4x(5x - 3)+6(5x-3)

(4x + 6)(5x - 3)

Therefore,  this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

3). 6x^3+14x^2-12x-28

2x^2(3x+7)-4(3x+7)

(2x^2-4)(3x+7)

Therefore,  this polynomial is converted into a lower degree polynomial. Therefore, it is not a prime polynomial.

4). 8x^3+20x^2+3x+12

4x^2(2x+5)+(3x+20)

Therefore, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

5). 11x^4+4x^2-6x^2-16

x^2(11x^2+4)-2(3x^2+8)

So, this polynomial can not be factored into lower degree polynomial. Therefore, it is a prime polynomial.

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For Q3, you can subsitute x = 2 and y = 5 into the systems

-5(2) + 5 = -5

so it's a solution for the first system

-4(2)+2(5) = 2

it's also a solution for the second system

The surface area of the larger sphere with a volume of 64π cm³ comes to be 16π∛36 cm³.

The volume of the larger sphere = 64π cm³

Suppose the radius of the larger sphere is r

So, 4/3*π*r³ =64π

r³=48

r=2∛6

The surface area of a sphere is 4πr² where r is the radius.

So, the surface area of the larger sphere = 4π(2∛6)²

The surface area of the larger sphere = 16π∛36

Hence, The surface area of the larger sphere with a volume of 64π cm³ is 16π∛36 cm³.

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Answer:

2x+3

or

2N + 3

Answer: 81/16

Step-by-step explanation:

When you have a negative exponent, it is equivelant to taking the reciprocal of the exponential and making the exponent positive:

[tex](2/3)^-^4=\frac{1}{(2/3)^4}[/tex]

Distribute the exponent to the base. We are able to do this because the base is composed of a single term. If it were composed of addition and subtraction, you cannot distribute the exponent:

[tex]\frac{1}{(2/3)^4}=\frac{1}{(2^4/3^4)}=\frac{1}{(16/81)}[/tex]

Dividng by a fraction is equivalent to multiplying by the reciprocal:

[tex]\frac{1}{(16/81)}=1\frac{81}{(16)}=\frac{81}{16}[/tex]

Answer:

[tex]\huge\boxed{\sf y > 32}[/tex]

Step-by-step explanation:

Given inequality:

[tex]\displaystyle \frac{1}{4} y > 8\\\\Multiply \ 4 \ to \ both \ sides\\\\y > 8 \times 4\\\\\boxed{y > 32}\\\\\rule[225]{225}{2}[/tex]

Answer:

x = 93

Step-by-step explanation:

angles in the f shape on 2 parallel lines are equal

Answer:

x = 93⁰

Step-by-step explanation:

This is an example of corresponding angles (corresponding angles are equal). If you search corresponding angles online there are indepth algebraic explanations as to why corresponding angles are equal. In order to be corresponding, they need to be on the same side of the transversal (the line cutting through the 2 parallel lines) and be on the same side of their "parent" line as the other.

Answer:

8

Step-by-step explanation:

Just move the modellus

x-5=3

x=5+3

x=8

Answer:

no

Step-by-step explanation:

Answer:

they sold 1,397,262,266 less seeds this season but made 1,397,262,266 last season

Step-by-step explanation:

2,995,748,111 - 1,598,485,845 = 1,397,262,266

Answer: 6217728

Step-by-step explanation: The formula for a Rectangular Prism is (Base/Length)(Width)(Height). (12)(512)(1012).

The factors of the expression are [tex]\rm(3 - 7x^2)(x - 3)[/tex]

First group the first two terms and the last two terms together respectively.

The factors of the expression are given by;

[tex]\rm= -7x^3 + 21x^2 + 3x - 9\\\\=-7x^2(x - 3) + 3(x - 3)\\\\=(3 - 7x^2)(x - 3)[/tex]

Hence, the factors of the expression are [tex]\rm \rm(3 - 7x^2)(x - 3)[/tex].

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Answer:

[tex]y=-\frac{1}{5}x+4[/tex]

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can calculate probability by looking at the outcomes of an experiment or by reasoning about the possible outcomes.

Answer:

Hope the picture will help you....

Answer:

C. 14 units

Step-by-step explanation:

Perimeter is the distance around the outside of the shape. Add up all the sides. See image.

Answer:

1/4

Step-by-step explanation:

someone said 1/4 when I searched this question up so it may be correct

Answer:

the answer is (-5/35) or (-1/7)

Step-by-step explanation:

yea i think that explains it pretty nicely

Answer:

Any number that can be written as a ratio (or fraction) of two integers

Step-by-step explanation:

Answer:

A rational number is a number that can be written as a fraction of two integers.

This makes the last option A number that can be written as a fraction correct

Answer:

Solve for 's' using inverse operations;

4s + 3 = 9

Get rid of constants first.

By doing this, we subtract 3 from both sides because the inverse operation of addition is subtraction.

-3           -3

4s = 6

Isolate 's' by dividing 4 from both sides because the inverse operation of multiplication is division.

÷ 4 ÷ 4

s = 6/4 which equals 1.5 therefore the value of 's' to make this equation true is 1.5.

Answer:

Sodas: 72

Hotdogs: 42

Step-by-step explanation: First you take 114 and subtract 30 from it since there are 30 more sodas. You then would take the remaining 84, and divide it between the two giving you 42 hotdogs and 42 sodas. Now remember the 30 we had? Youre gonna add that to the 42, giving you 72 sodas and 42 hotdogs.

The angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.

A reference angle means the measure of the smallest, positive, acute angle that is formed by the terminal side of the angle. Therefore, positive reference angles possess terminal sides in the first quadrant.

Lets convert all the values into degrees

330° = 330°

π/2 = 180/2 = 90°

5π/3 = 300°

7π/6 = 210°

2π/3 = 120°

Arrange them from greatest to lowest.

330°, 300°, 210°, 120°, 90°

or

330°, 5π/3, 7π/6, 2π/3, π/2

Hence, the angles are in correct order greatest to least is 330°, 5π/3, 7π/6, 2π/3, π/2.

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Answer:

d

Step-by-step explanation:

thats what the guy above me said

The interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50

If the initial amount (also called as principal amount) is P, and the interest rate is R% annually, and it is left for T years for that simple interest, then the interest amount earned is given by:

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

For this case, we're specified that:

Converting this time in terms of year, we get:

Aug has 31 days, Sept has 30 days, Oct. has 31 days, Nov has 30 days.

From 10th aug, till its last, there went 22 days.

Whole sept and oct and nov. was spent (30+31+30 = 91 days)

And then there were 22 days of december(23rd day not covered assumingly)

So, total days = 22+22+91 = 145 days.

Assuming averagely 365.25 days in an year, we get the average time for which the interest will be calculated as:

[tex]\dfrac{145}{365.25} \approx 0.397 \: \rm years[/tex]

Thus, we get: the amount of interest as:

[tex]I = \dfrac{P \times R \times T}{100}\\\\I \approx \dfrac{5315 \times 5\times 0.397}{100} \approx 105.50 \: \rm dollars[/tex]

Thus, the interest amount (simple interest ) on the loan amount $5315 at 5% from 10th aug to 23rd dec. of same year is $105.50

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Dilating the triangle ABC would create a triangle with a different side length from triangle ABC

From the diagram, we have the coordinates to be:

A = (2,-5)

B = (2,4)

C = (-4,3)

The dilation rule is given as:

(x,y) => (1.5x, 1.5y)

So, we have:

A' = (3,-7.5)

B' = (3,6)

C' = (-6,4.5)

See attachment for the image of the dilation

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