Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368
mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?
OA. 3.04 x 10-7 mm
OB. 4.32 x 10-7 mm
OC. 4.32 x 10-15 mm
OD. 3.04 x 108 mm

Answer:

-2

Step-by-step explanation:

f(x) = 3x + k

f(4) = 10

f(4) = 3×4+k

10 = 12 + k

10-12 = k

k = -2

Answer:C.45

Step-by-step explanation:

                         [tex]\Huge\boxed{Your\;answer\;is\;45.}[/tex]

___________________________________________________________

                                                  [tex]\boxed{Explanation}[/tex]

So, we have the following equation...

[tex]5^2+20=(?)[/tex]

Remember, 5² also means 5x5.

Therefore, [tex]5x5=25\\25+20=45[/tex]

This means your final answer is 45.

___________________________________________________________

Glad to help!

Could i possibly get brainliest?

[tex]\huge\boxed{Thanks,\;Plip.}[/tex]

Answer:

3.875

Step-By-Step-Explanation

3 2/8 + 5/8

Answer:

result is 35

Step-by-step explanation:

Answer:

oranges $3.50 per Kg, bananas $3 per Kg

Step-by-step explanation:

let b represent cost of bananas and o represent cost of oranges , then

2b + 3o = 16.5 → (1)

o = b + 0.5 → (2)

substitute o = b + 0.5 into (1)

2b + 3(b + 0.5) = 16.5 ← distribute parenthesis on left side and simplify

2b + 3b + 1.5 = 16.5

5b + 1.5 = 16.5 ( subtract 1.5 from both sides )

5b = 15 ( divide both sides by 5 )

b = 3

substitute b = 3 into (2)

o = 3 + 0.5 = 3.5

cost of oranges = $3.50 and cost of bananas = $3

Answer:

[tex]k=3[/tex]

Step-by-step explanation:

Given the following question:

[tex]\frac{9-2k}{3} =k-2[/tex]

To find the answer we need to isolate k, in order to do that we need to use inverse of operations to cancel out integers on each side of the expression.

[tex]\frac{9-2k}{3} =k-2[/tex]
[tex]3\times0=0[/tex]
[tex]2\times3=6[/tex]
[tex]9-2k=k\times3-6[/tex]
[tex]9-9=0[/tex]
[tex]-6-9=15[/tex]
[tex]k\times3=3k[/tex]
[tex]-2k=3k-15[/tex]
[tex]-2k-2k=0[/tex]
[tex]3k+-3k=-5k[/tex]
[tex]-5k=-15[/tex]
[tex]-5k\div-5=k[/tex]
[tex]-15\div-5=3[/tex]
[tex]k=3[/tex]

Your answer is "k =3."

Hope this helps.

Answer:

27

Step-by-step explanation:

3*5=15+12=27]

Evaluation of 3x + 12 for x = 5 is 27.

Expression in mathematics is combination of variables with the use of operations and given rules. It can be in the form of equation, numbers etc.

Given expression,

3x + 12

And to solve for x= 5,

we substitute the value of x in given expression,

3(5)+ 12 = 15 + 12

             = 27

Therefore, evaluation of expression 3x + 12 for x = 5 is 27.

To learn more about the expression;

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Answer:

1 yard = 3 feet

40 × 3 = 120 feet

1 foot per 2 seconds

120 × 2 = 240

240 ÷ 60 = 4 minutes

it takes her 4 minutes to reach the surface

Answer:

6 minutes and 65 seconds

Step-by-step explanation:

The unit rate is: 1/2.

1/2 x 40 = 40/80

80/60 = 1.33

1.33 x 3   (Because every foot is a meter)

3.99 / .60

6.65.

Hope this helps! Have a good day.

(Also, nice Sans PFP, mine is Sans too ;>)

Answer:

9

Step-by-step explanation:

1= 1x1x1 cubic

27=3x3x3 cubic

64=4x4x4 cubic

9 is not cubic

Answer:

Step-by-step explanation:

1x1x1=1³

3x3x3=27=3³

4x4x4=64=4³

Answer:

D

Step-by-step explanation:

answer choices a/b can be eliminated because it's increasing, and answer choice c can be ruled out because its a dramatic increase!

hope this helps!<3

Answer:

i'd give you my insta

Step-by-step explanation:

Answer:

y= -7x+26

Step-by-step explanation:

not sure how to explain... just followed order of operations

Answer: y = 3x + 5

............................

plz mark brainlest

Answer:

[tex]P(Red) = 0.125[/tex]

Step-by-step explanation:

Given

[tex]Red: 150[/tex]

[tex]White: 450[/tex]

[tex]Green: 225[/tex]

[tex]Blue: 375[/tex]

Required

Determine the probability of getting a red chair, next.

First, we nee the total number of chairs

[tex]Total = 150 + 450 + 225 + 375[/tex]

[tex]Total = 1200[/tex]

Probability of getting red is then calculated as thus;

[tex]P(Red) = Red/Total[/tex]

[tex]P(Red) = 150/1200[/tex]

[tex]P(Red) = 0.125[/tex]

Answer:

-1/3

Step-by-step explanation:

2x + 6y = 5

6y = -2x + 5

y = -1/3x + 5/6

Representing the equation in slope intercept form, the slope of the line represented by the equation is - 1/3

Given the equation :

Slope intercept format :

2x + 6y = 5

6y = - 2x + 5

Divide both sides by 6 to isolate y

y = - 1/3x + 5/6

Hence, the value of slope, b in the equation is - 1/3

Learn more : https://brainly.com/question/18106342

Answer:

The answer to your question would be 20

Hope this helps!

Answer: I got these correct 100%.

Step-by-step explanation:

First page:

1. True

2. True

3. True

4. True

5. False

6. True

7. False

Second page:

1.False

2.False

3.False

4.False

5.False

6.True

7.True

8.True

Answer:

Thanks! I was doing this lesson now and was getting ready to ask a question, but I saw this, and it helped me a lot. Thank you!

Step-by-step explanation:

Even though I technically didn't answer anything, can I have brainliest? I really want to level up

Have a blessed day and remember to keep smiling! :)

[tex]\\ \rm\rightarrowtail 2-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]

[tex]\\ \rm\rightarrowtail 1+1-sin^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]

[tex]\\ \rm\rightarrowtail 1+cos^2x=2cos^2\left(\dfrac{x}{2}\right)[/tex]

[tex]\\ \rm\rightarrowtail cos^2x=2cos^2\left(\dfrac{x}{2}\right)-1[/tex]

[tex]\\ \rm\rightarrowtail cos^2x=cosx[/tex]

[tex]\\ \rm\rightarrowtail cosx=1[/tex]

[tex]\\ \rm\rightarrowtail x=n\pi[/tex]

As x lies in between 0 and 2π

Answer:

[tex]x=0,\dfrac{\pi}{2}, \dfrac{3\pi}{2},2\pi[/tex]

Step-by-step explanation:

Given equation:

[tex]2-\sin^2x=2 \cos^2(\frac{x}{2})[/tex]

Subtract [tex]2 \cos^2(\frac{x}{2})[/tex] from both sides:

[tex]\implies 2-\sin^2x-2 \cos^2(\frac{x}{2})=0[/tex]

Pythagorean identity

[tex]\sin^2x+\cos^2x =1[/tex]  

[tex]\implies \sin^2x =1-\cos^2x[/tex]

Substituting into the equation:

[tex]\implies 2-(1-\cos^2x)-2 \cos^2(\frac{x}{2})=0[/tex]

[tex]\implies 1+\cos^2x-2 \cos^2(\frac{x}{2})=0[/tex]

Cosine double angle identity:

[tex]\cos(2x)=2 \cos^2x-1[/tex]

[tex]\implies 2 \cos^2x=\cos(2x)+1[/tex]

Substituting [tex]\frac{x}{2}[/tex] for [tex]x[/tex]:

[tex]\implies 2 \cos^2(\frac{x}{2})=\cos(2\cdot\frac{x}{2})+1[/tex]

[tex]\implies 2 \cos^2(\frac{x}{2})=\cos x+1[/tex]

Substituting into the equation:

[tex]\implies 1+\cos^2x- (\cos x +1)=0[/tex]

[tex]\implies \cos^2x- \cos x =0[/tex]

Factoring:

[tex]\implies \cos x(\cos x- 1)=0[/tex]

Therefore,

[tex]\cos x=0[/tex]  

[tex]\implies x=\dfrac{\pi}{2}, \dfrac{3\pi}{2}[/tex]

and  [tex]\cos x-1=0[/tex]

[tex]\implies \cos x=1[/tex]

[tex]\implies x=0, 2\pi[/tex]

Answer:

[tex]y\leq \frac{1}{2} x+3[/tex]

Step-by-step explanation:

slope intercept form is [tex]y=mx+b[/tex] where [tex]m[/tex] is the gradient and [tex]b[/tex] is the y-intercept (the number at which it crosses the y axis)

firstly find the equation for this line:

the gradient can be found with the formula [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

so the gradient is [tex]\frac{4-3}{2-0}=\frac{1}{2} =0.5[/tex]

the y intercept is where it crosses the y axis so it is simply 3

our equation for the line is now [tex]y=\frac{1}{2} x+3[/tex] but the question is asking for an equality where the shaded area is BELOW the line.

so the inequality is [tex]y\leq \frac{1}{2} x+3[/tex]

Answer:

y ≤ [tex]\frac{1}{2}[/tex] x + 3

Step-by-step explanation:

the equation of the line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = [tex]\frac{3-0}{0-(-6)}[/tex] = [tex]\frac{3}{0+6}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = [tex]\frac{1}{2}[/tex] x + 3 ← is the equation of the line

the solution lies below the line and on the line.

as line is solid use ≤

y ≤ [tex]\frac{1}{2}[/tex] x + 3

Answer:

5 terms

to the fourth degree

leading coeff of 1

3 turning points

end behavior (when x -> inf, y -> inf. When x -> - inf, y -> -inf)

x intercepts are (0,-4) (0,-2) (0,1) (0,3)

Relative min: (-3.193, -25) (2.193, 25)

Relative max: (-0.5, 27.563)

Step-by-step explanation:

The terms can be counted, seperated by the + and - in the equation given.

The highest exponent is your degree.

The number before the highest term is your leading coeff, if there is no number it is 1.

The turning points are where the graph goes from falling to increasing or vice versa.

End behaviour you have to look at what why does when x goes to -inf and inf.

X int are the points at which the graph crosses the x-axis.

The relative min and max are findable if you plug in the graph on desmos or a graphing calculator.

The amount of fabric needed = surface area of the rectangular prism (brick) = 146.5 cm²

The surface area of a rectangular prism is given as, A=2(wl+hl+hw).

The brick is a rectangular prism. Therefore, the amount of fabric needed to cover the brick would equal the surface area of the brick.

Given the following:

Plug in the values into the formula:

The surface area of the rectangular prism (brick) = 2(3.5 × 6 + 5.5 × 6 + 5.5 × 3.5) = 146.5 cm²

Learn more about surface area of rectangular prism on:

https://brainly.com/question/1310421

Answer:

The Answer Is : 146.5

Step-by-step explanation:

I Just Took The Test And I Have Proof

Answer:

A=½bh

20=5x(½)

multiply by reciprocal both sides

40=5x

divide

8=x

the answer is b bc the way the other 2 are

Step-by-step explanation:

its the pattern.

Answer:

hey! ill do it but first do 3/4 x 8/15 for me PLSSSSSSSSSSS

Step-by-step explanation:

Answer:

Hello! :) I hope I’m correct!!

Step-by-step explanation:

I think (C) 30 is not a perfect square.

(A) 1 = perfect square

(B) 25 = perfect square

(C) 30 = NOT a perfect square

(D) 36= perfect square

{Note: The square root of 30 is not an integer, so therefore 30 is not a square number}

Since the question is asking to find a number that is NOT a perfect square...

The answer would be (C) 30

Hope this helps! If you have any questions about this, feel free to ask! Have a wonderful day! ^-^

~By, BrainlyAnime~ <3

Answer:

a)  Shelton’s total pay before deduction: 10.25x

b)  To meet savings goal he'll have to work 827.415869 hours.

Step-by-step explanation:

Take-home pay:

  10.25x − 0.21(10.25x)

  10.25x − 2.1525x

  8.0975x

Save 25% for new laptop:

  .25(8.0975x) = 1675

     2.024375x = 1675

     x = 827.415869 hours

Answer:

up and 2; down and 3

Step-by-step explanation:

hope this helps!! have an amazing day <3

The equation the function after the transformation is  g(x) = -4x² - 16

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

to determine the transformation of the function:

The equation of the function is given as

f(x) = x²+2

The sequence of transformations is given as follows:

Translate up by 2 units

Reflection across the x-axis

Vertically stretched by a factor of 4

When the above transformations are combined, we have:

Translate up by 2 units: g(x) = f(x) + 2

Reflection across the x-axis: g(x) = -(f(x) + 2)

Vertically stretched by a factor of 4: g(x) = -4(f(x) + 2)

So, we have

g(x) = -4(x²+2 + 2)

Expand

g(x) = -4x² - 16

Hence, the function g(x) is g(x) = -4x² - 16

Read more about transformation at

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