Which number is closest to V90 ?

Answer:

D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.

Step-by-step explanation:

The possible degrees are 0, 1, and 2. Let's explain why by assuming the following is given:

P = 6x² - 3x - 2

Q = 3x² + 2x - 6

Let R = P - Q

Thus:

(6x² - 3x - 2) - (3x² + 2x - 6)

Open parentheses by distributing the factor of -1

6x² - 3x - 2 - 3x² - 2x + 6

Add like terms together

6x² - 3x² - 3x - 2x - 2 + 6

R = 3x² - 5x + 4

The leading term of R has a degree of 2. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 2.

Also, let us assume the following:

P = 4x² + 4x - 3

Q = 4x² + x - 8

Let R = P - Q

R = (4x² + 4x - 3) - (4x² + x - 8)

R = 4x² + 4x - 3 - 4x² - x + 8

Collect like terms

R = 4x² - 4x² + 4x - x - 3 + 8

R = 4x + 5 (4x² cancels 4x²)

The leading term of R has a degree of 1. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 1.

Also, let us assume the following:

P = x² + 2x - 3

Q = x² + 2x - 8

Let R = P - Q

R = (x² + 2x - 3) - (x² + 2x - 8)

R = x² + 2x - 3 - x² - 2x + 8

Collect like terms

R = x² - x² + 2x - 2x - 3 + 8

R = 5 (x² cancels x², and 2x cancels 2x)

The polynomial R has a degree of 0. Therefore, the difference of two degree-2 polynomial functions P and Q can give us a a polynomial function of R with a degree of 0.

Therefore we can conclude that:

D. The possible degrees are 0, 1, and 2 because it cannot be higher than the degree of either P or Q but it can be less depending on which terms cancel.

Answer:

2/21

Step-by-step explanation:

10 1/2=21/2 and then flip it

Answer:

Week 1 = 80

Week 2 =88

Week 3 = 96.8

Week 4 = 106.48

Week 5 = 117.128

Step-by-step explanation:

Given

Week 1 = 80

Growth = 10%

Required

Fill week 1 to 5

We have week 1 already.

Week 2 is calculated as thus:

Week 2 = Week 1 + 10% * Week 1

Week 2 = 80 + 10% * 80

Week 2 = 80 + 8

Week 2 = 88

Week 3 is calculated as thus:

Week 3 = Week 2 + 10% *Week 2

Week 3 = 88 + 10% * 88

Week 3 = 88 + 8.8

Week 3 = 96.8

Week 4 is calculated as thus:

Week 4 = Week 3 + 10% * Week 3

Week 4 = 96.8 * 10% *96.8

Week 4 = 96.8 + 9.68

Week 4 = 106.48

Lastly, week 5 is calculated as thus:

Week 5 = Week 4 + 10% * Week 4

Week 5 = 106.48 + 10% * 106.48

Week 5 = 106.48 + 10.648

Week 5 = 117.128

Answer:

The lab technician must screen 5 slides per hour

Step-by-step explanation:

If the lab technician works 5 days a week, and 7 hours per day, then she works 5*7 = 35 hours a week.

Given she must screen 175 slides each week, we can calculate on average, the number of slides per hour needed to complete the work.

The average is calculated as:

[tex]\displaystyle average=\frac{\text{total slides}}{\text{total hours}}[/tex]

[tex]\displaystyle average=\frac{175}{35}=5\ slides/hour[/tex]

The lab technician must screen 5 slides per hour

Answer:

I counted 32 squares in and out

Answer:

A=a^2, so A=4^2=16 , or 4*4=16

Step-by-step explanation:

All sides of a square are equal, so the length of the sides are all 4. Put 4 in for a in the formula A=a^2 or Area = side length squared.

A = 4^2

A = 4 * 4

A = 16

Answer:

600

Step-by-step explanation:

Sense 2 hours has passed you divide the amount of distance the plane has traveled by the amount of time it took. :)

Answer:

600 mph

Step-by-step explanation:

its the speed of the plane

the solution is distance travel which is 1,200 miles divided by the time 2 hours will be equal to 600 miles per hour (mph).

Part A:

The y-intercept is $1,500

The x-intercept is 20 days

Part B:

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

f(x) = -75·x + 1500

Part D:

$1,125

Step-by-step explanation:

The information given are;

x,                 g(x)

0,                 $1,500

2,                 $1,350

4,                 $1,200

The equation of a straight line relation between the x, and y, coordinates in slope and intercept form is  y = m·x + c

Where;

m = The slope

c = The y-intercept

From the data, we have two points, (x₁, y₁), (x₂, y₂) given as (0, 1,500), (2, 1350);

The y-intercept = y at x = 0 = 1,500

y = -75·x + 1500

x = 1500/75 = 20

Part B:

The equation in point-slope form is y - y₁ = m×(x - x₁)

Which gives;

Equation of the line in point-slope form is  y - 1350 = -75×(x - 2)

Equation of the line in slope-intercept form is y = -75·x + 1500

Equation of the line in standard form  is y + 75·x = 1500

Part C:

The equation of the line using function notation is f(x) = -75·x + 1500

Part D:

The balance in the bank after 5 days is f(5) = -75 × 5  + 1500 = $1,125

Answer:

Noah is correct.

Step-by-step explanation:

Noah is correct, a proportional relationship can be formed by observing two conditions:

1) Knowing at least two distinct collinear points on coordinate grid.

2) Ratio between dependent and independent variables must be the same on each point.

3) Relationship must include origin.

Makayla used two points: (0, 0) and (3, 33). Therefore, she observed all conditions described above:

Condition 1: Makayla plotted (0,0) and (3,33). According to Geometry, two distinct point on coordinate grid are always collinear.

Condition 2: The proportionality ratio is:

[tex]k = \frac{33}{3}[/tex]

[tex]k = 11[/tex]

Condition 3: The relationship included origin: (0, 0).

Answer:2182

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

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Answer:

d) 3

Step-by-step explanation:

4t^2 +5t -1

in this equation there are 3 terms:

4t^2,      5t,        and  -1

Answer:

1 2. 3

Given:

4 groups of ___ tenths is 1.6.

To find:

The value for the blank.

Solution:

Let the unknown value be x.

4 groups of x tenths is 1.6.

[tex]4x=1.6[/tex]

Divide both sides by 4.

[tex]\dfrac{4x}{4}=\dfrac{1.6}{4}[/tex]

[tex]x=0.4[/tex]

So, 4 groups of 0.4 tenths is 1.6.

Therefore, the required answer for the blank is 0.4.

Answer:

512 ounces

Step-by-step explanation:

Answer:

512

Step-by-step explanation:

multiply the volume value by 128

Answer:

the square root of -1 is i

Step-by-step explanation:

Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).

To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).

The required value of the square root of -1 is i. The correct answer is option B.

As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.

The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.

The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.

⇒ √(-1)

⇒ √(i²)

⇒ i

So, the correct answer is "i."

Learn more about complex numbers here:

brainly.com/question/19007885

#SPJ6

Answer:

y = -1/4x - 1

Step-by-step explanation:

First, put the equation in slope intercept form:

4x - y = 2

4x - 2 - y = 0

4x - 2 = y

y = 4x - 2

Perpendicular lines have opposite reciprocal slopes. Since the original slope is 4, the other line's slope will be -1/4

Plug in the given point and the slope into y = mx + b, then solve for b:

y = mx + b

-2 = -1/4(4) + b

-2 = -1 + b

-1 = b

Plug in the slope and b into the equation:

y = -1/4x - 1 is the equation

Answer:

-8 degrees

Step-by-step explanation

Half of negative 16 would be negative 8.

Answer:

-8

Step-by-step explanation:

-16 ÷ 2 = -8

You could also do:

16 ÷ 2 = 8

and then put a negative in front of 8

And to prove it's true,

8 x 2 = 16

-8 x 2 = -16

Answer:

28 inches

Step-by-step explanation:

Answer:

382

Step-by-step explanation:

540 - 158

Answer:

a

Step-by-step explanation:

Answer:

252

Step-by-step explanation:

252-

Who ever is reading this:

I love u.

U matter.

The world needs u

hang in there ik it may be bad but u deserve the world <3

ur beautiful for who u r, not wht u look like. no matter ur shape, size, color, gender.. anything

don't give up bby i need u to live.

i wish i could take everyones problems so yall wouldn't have to have em but i cant so just know ily and if anyone needs to talk u can talk to me

Pls pass this on. Everyone deserves to know this. ♥️♥️

just copy and paste its not hard pls this could save someones life

Answer:

the answer is 5

Step-by-step explanation:

f(4) = 3(4) -2

7 - 2 = 5

Answer:

20 cookies and 15 cupcakes (20:15)

Explanation:

First you need to multiply 4 by 5 which equals 20. Then 3 by 5 which equals 15. Then you need to add them together to get 35!

Ratio Table!

   4    |    3   x4

  16    |   12  + 4:3

 20   |   15   = 35!

I Hope This Helps!

Answer: A) 52 ft  B) $134.68

Step-by-step explanation:

First find the surface area by multiplying the dimensions together.

2 x 4 = 8

2 x 3 = 6

4 x 3 = 12

Then add them up and multiply by two because there are two of each side.

26 x 2 = 52

To find the cost, multiply 52 by $2.59 to get the price.

52 x $2.59 = $34.68