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Factor the equation. [tex]3x^2+8x-11[/tex]

The uninhabited growth represented by the function is [tex]N(t) = N_0e^{kt}[/tex]. The correct option is A.

Uninhibited Growth and Decay Models: Things that expand or deteriorate in a limitless, proportional manner are said to exhibit "uninhibited" growth or decay. Examples include population increase, bacterium growth, and radioactive decay.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The expression for the uninhabited growth is,

[tex]N(t) = N_0e^{kt}[/tex]

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Answer:

C i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The chance the coin will show 'tails' is 1/2, since there are only 2 sides to a coin. The chance that the die will show an even number is also 1/2, since half of the numbers on a die are even, and half are odd. But, since both of these events depend on each other, or in other words, are dependent, we have to multiply both numbers. 1/2 x 1/2 = 1/4, therefore your answer is A.

Answer:

Yes, They are similar by SSS PMK similar to LMQ.

Step-by-step explanation:

Similar triangles corresponding side lengths are in a proportion.

KM corresponds with MQ

PM corresponds with LM.

Set up this proportion.

[tex] \frac{km}{pm} = \frac{lm}{mq} [/tex]

[tex] \frac{15}{28} = \frac{21}{39.2} [/tex]

Cross multiply

[tex]588 = 588[/tex]

So the triangles ARE Similar.

Answer:

2/5

Step-by-step explanation:

It's 2/5 because it goes up 2 and over 5

Answer:

A hope this helps

Step-by-step explanation:

Answer:

B. 196πx² + 392πx + 196π

Step-by-step explanation:

Total surface area of a sphere = 4πr²

Radius, r = 7x + 7

Total surface area of a sphere = 4πr²

= 4 * π * (7x + 7)²

= 4π * (7x + 7) * (7x + 7)

= 4π * 49x² + 49x + 49x + 49

= 4π * (49x² + 98x + 49)

= 196πx² + 392πx + 196π

B. 196πx² + 392πx + 196π

Answer:

(-4,9)

Step-by-step explanation:

To solve the system of equations, you want to be able to cancel out one of the variables. In this case, it'd be easiest to cancel out the x variables. To do this, you'll want to multiply everything in the first equation by 2 (2(x-5y=-49)=2x-10y=-98). Then, you can add the two equations together. 2x and -2x will cancel out, so you'll be left with -11y=-99. Next, solve for x by dividing both sides of the equation by -11, which will give you y=9. This is your y-coordinate! At this point, you're halfway to the answer as you just need your x-coordinate. It's not too difficult to find the x-coordinate, since you just substitute 9 into one of the equations. It doesn't matter which one you choose as you should get the same answer with both. I usually substitute the y-value into both equations, though, just to make sure I'm correct. Once you put the y-value into the equations, you should get x=-4 after solving it. :)

Answer:

∠S = 151°

Step-by-step explanation:

Hello there!

This is an irregular pentagon

If you didn't know the sum of the interior angles add up to equal 540

We must solve for x to be able to find the measure of angle S

we can use this equation to solve for x

540 = 5x + 2 + 10x - 3 + 7x - 11 + 13x - 31  + 8x - 19

step 1 combine like terms

2 - 3 - 11 - 31 - 19 =-62

5x + 10x +7x + 13x + 8x = 43x

so now we have

540 = 43x - 62

step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

now we have

602 = 43x

step 3 divide each side by 43

43x/43 = x

602/43=14

we're left with x = 14

Now we want to plug in x for angle S

13(14) - 31

13*14=182

182-31=151

So we can conclude that the measure of angle S is 151 degrees

Answer:

A)

Day 1: $5

Day 2: $10

Day 3: $ 15

Day 4: $20

Day 5: $25

Day:6 $30

B) Y = 5x + 10

I'm not sure how to do Letter c, apologies.

Step-by-step explanation:

Answer:

option 4 is correct answer of this question

6/x^3

Step-by-step explanation:

hope it helps and your day will be full of happiness

Answer:

This is in the simplest form already.

Step-by-step explanation:

The simplified form of the given expression 4x5p would be equal to 20xp.

Polynomials are those algebraic expressions that consist of variables, coefficients, and constants. The standard form of polynomials has mathematical operations such as addition, subtraction, and multiplication.

The given expression is 4x5p. we need to simplify the expression.

but the given expression has unlike terms 4x and 5p so, the, unlike a variable, could not be multiplied.

Now, the simplified form will be

4x5p

= 20xp

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Step-by-step explanation:

y = 6x-11

substitute y into 2x+3y=7

2x+3(6x-11)=7

2x + 18x-33 = 7

20 x = 7+33

x = 2

y?

y= 6(2)-11

y = 12-11 = 1

so, x = 2 and y = 1

Answer:

[tex]\displaystyle 5[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{32}{39}} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

OR

[tex]\displaystyle \boxed{y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 1 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-1\frac{25}{39}} \hookrightarrow \frac{-\pi}{\frac{39}{64}\pi} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{3\frac{11}{39}} \hookrightarrow \frac{2}{\frac{39}{64}\pi}\pi \\ Amplitude \hookrightarrow 5[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5cos\:\frac{39}{64}\pi{x} + 1,[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between both photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle \frac{32}{39}\:unit[/tex]to the right, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph BACKWARD [tex]\displaystyle \frac{32}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you get [tex]\displaystyle \boxed{-\frac{32}{39}} = \frac{-\frac{\pi}{2}}{\frac{39}{64}\pi}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -5cos\:(\frac{39}{64}\pi{x} + \frac{\pi}{2}) + 1.[/tex]Intermediate, we have two sine graphs [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -5sin\:\frac{39}{64}\pi{x} + 1.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle 1\frac{25}{39}\:unit[/tex]to the right, which means that in order to match the leftward sine graph, we need to shift the graph BACKWARD [tex]\displaystyle 1\frac{25}{39}\:unit,[/tex]which means the C-term will be negative, and by perfourming your calculations, you will arrive at [tex]\displaystyle \boxed{-1\frac{25}{39}} = \frac{-\pi}{\frac{39}{64}\pi}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -5sin\:(\frac{39}{64}\pi{x} + \pi) + 1.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph hits [tex]\displaystyle [-6\frac{22}{39}, 1],[/tex]from there to [tex]\displaystyle [-3\frac{11}{39}, 1],[/tex]they are obviously [tex]\displaystyle 3\frac{11}{39}\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 3\frac{11}{39}.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and in case you want to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = 1,[/tex]in which each crest is extended five units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. So, overall, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

Answer:

4

Step-by-step explanation:

we have been given the mean as 5 so it means you have to multiply five with the mean since there are five numbers .If you multiply you will get 25 then add 5+8+2+6 the answer you will get is 21 thn write an equation 21+x=25 because 21 has a positive sign infront of it when it crosses the equal sign it will change to a negative sign the equation will be x=25-21 if you subtract you will get 4 so x=4

Answer:

Step-by-step explanation:

Use the rise over run formula

y2-y1/x2-x1

1992-1990/3317-3038

2/-279

-139.5

Answer:

The chance of picking a yellow marble twice in a row without replacement is 0.22

Step-by-step explanation:

The given number of marbles in the bag = 25 marbles

The number of red marbles in the bag = 5 red marbles

The number of blue marbles in the bag = 8 blue marbles

The number of yellow marbles in the bag = 12 yellow marbles

The chance of picking a yellow marble = 12/25

The chance of picking another yellow when the first one is not replaced = 11/24

Therefore, the chance of picking a yellow marble twice in a row = 12/25 × 11/24 = 1/25 × 11/2 = 11/50

Therefore;

The chance of picking a yellow marble twice in a row without replacement = 11/50 = 0.22

Answer:

y=2/7x

Step-by-step explanation:

y=mx+b where m=slope and b=y-intercept

y=2/7x+0

y=2/7x

Answer:

2 should be added to the data

Step-by-step explanation:

Hope this helps!

If im wrong im sorry!

Answer:

18 should be added

Step-by-step explanation:

So we have one 10 and one 11 in this data set, and we need to figure out which number we need to add to get a mean of 13

let's make this unknown number x

to find the mean, we add up all the values of the numbers on the data set, and divide it by how many numbers we have.

we have 3 numbers, and our numbers are 10, 11, and x. When we add 10, 11, and x together, and then divide by 3, the value is 13

as an equation we will have:

(10+11+x)/3=13

combining like terms in the numerator, it will be:

(21+x)/3=13

We need to solve this equation, and the denominator of 3 just makes harder to do that.

Clear the fraction by multiplying both sides by 3

21+x=39

subtract 21 from both sides

x=18

so that means that 18 should be added to the data set to get a mean of 13.

Hope this helps!

Answer:

19.47

Step-by-step explanation:

I plugged it into a right triangle trig calculator

Answer:

HERE ARE SOME NOTES ON HOW TO DO these types of geo- problems and some more ! SORRY .

See attachment below!

Step-by-step explanation:

If your in High school Geometry, I could help with that and more!

If your someone who likes to have Notes.. I could send you some PDF's and more for Geometry!!  I took Geometry and have good notes!

Answer:

C

Step-by-step explanation:

Answer:

1 3/4

Step-by-step explanation:

First, find out how many times does 4 goes into 7, and you get 1 so 1 is the first part of your answer. Then you ask yourself what is 7-4? And you get 3, this is the top part of the fraction the numerator, as for the bottom the denominator, you just keep it as is. which leads you to get 1 3/4

The required 7 / 4 as the whole number is 1 3/4 (mixed fraction).

Given that,
To determine 7/4 as a whole number.

In mathematics, it deals with numbers of operations according to the statements. There are ,four major arithmetic operators, addition, subtraction, multiplication and division,

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
The number 7/4 = quotient  + remainder / divisor
                           = 1   +   3/4

Thus,  the required 7 / 4 as the whole number is 1 3/4 (mixed fraction).

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Answer:

9/4y+10

Step-by-step explanation:

1/4y+10+2y

9/4y+10

unless u meant y^2 then the answer would be

0.25(y+40+4y^2)

Answer:

x=[tex]-3+\frac{1}{2}\sqrt{2}[/tex]  

x=[tex]-3+\frac{-1}{2} \sqrt{2}[/tex]

Step-by-step explanation:

Answer:

The scale drawing is correct for the length;

[tex]\overline{BC} = 5\dfrac{34}{35} \ in.[/tex]

Step-by-step explanation:

The diagram shows the rectangular cross-section of a roof truss

The given dimension of the side [tex]\overline{AB}[/tex] of the roof truss scale drawing = 9.5 in.

The actual length of the side [tex]\overline{AB}[/tex] on the roof truss = 38 feet

The actual length of the side [tex]\overline{BC}[/tex] on the roof truss = 22 feet

Therefore, the scale of the scale drawing is given as follows;

The scale of the drawing = (Scale dimension)/(Actual dimension)

38 feet = 9.5 inches on the drawing

∴ 1 foot = 9.5 inches/35 = 19/70 inches on the drawing

1 foot = 19/70 inches on the drawing

22 feet = (19/70 inches × 22) on the drawing = [tex]5\frac{34}{35}[/tex] inches on the drawing

The length of [tex]\overline{BC}[/tex] on the scale drawing =  [tex]5\frac{34}{35}[/tex] inches.

Answer:

B

Step-by-step explanation:

To determine which point lies on the line, substitute the x- coordinate of the point into the equation and if the value equals the y- coordinate of the point then it lies on the line.

A (4, 8)

y = - 3(4) + 4 = - 12 + 4 = - 8 ≠ 8 ← not on line

B (4, - 8 )

y = - 3(4) + 4 = - 12 + 4 = - 8 ← lies on line

C (- 4, 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ 8 ← not on line

D (- 4, - 8 )

y = - 3(- 4) + 4 = 12 + 4 = 16 ≠ - 8 ← not on line

The point lying on the line is (4, - 8 ) → B