1. Estimate the product. Solve using the standard algorithm. Use the thought bubbles to
show your thinking.
2.42 x 12 =

Answer:

colinear pts (meaning gradient is same throughout)

Step-by-step explanation:

since grad is same,

(2-0)/(2-3) = (a-0)/(0-3)

-2 = a/-3

6 = a (multiply both sides by -3)

Answer:

Answer is C

Step-by-step explanation:

There is not enough samples.

Answer:

 Yes, the variation of the sample means is small.

Step-by-step explanation:

Step-by-step explanation:

Start with the series representation for eˣ.

eˣ = ∑ₙ₌₀°° xⁿ / n!

Substitute -x².

e^(-x²) = ∑ₙ₌₀°° (-x²)ⁿ / n!

e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

Multiply by x².

x² e^(-x²) = x² ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ) / n!

x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺²) / n!

Integrate both sides (use power rule).

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (x²ⁿ⁺³) / ((2n + 3) n!)

Evaluate between x=0 and x=0.5.

∫ x² e^(-x²) = ∑ₙ₌₀°° (-1)ⁿ (0.5²ⁿ⁺³) / ((2n + 3) n!)

This is an alternating series, so use alternating series estimation.

(0.5²⁽ⁿ⁺¹⁾⁺³) / ((2(n+1) + 3) (n+1)!) ≤ 0.001

(0.5²ⁿ⁺⁵) / ((2n + 5) (n+1)!) ≤ 0.001

n ≥ 1

So the estimate of the integral is the sum of the first two terms (n=0 and n=1).

I = (-1)⁰ (0.5³) / ((3) 0!) + (-1)¹ (0.5²⁺³) / ((2 + 3) 1!)

I = (0.5³) / 3 − (0.5⁵) / 5

I = 1/24 − 1/160

I = 17/480

I = 0.0354

Answer:

c=5/2k+ −45/2

Step-by-step explanation:

Answer:

K= 9 + 2/5C

Step-by-step explanation:

1. Remove the parentheses

C= 5/2 x (k-9)

2. Multiply both sides

C= 5/2k- 45/2

3. Move the terms

2C= 5k- 45

4. Divide both sides

-5k= -45- 2C

5. Write in parametric form

k=9 + 2/5C

Answer:

C

Step-by-step explanation:

I'm not sure if my picture made since because I'm not the best at drawing but that's how I'd explain it

Answer:

3 1/3 feet

Step-by-step explanation:

100 feet : 15 inches

3 1/3 feet : 1/2 inch

Answer:

[tex]3\frac{1}{3}[/tex] feet

Step-by-step explanation:

Inches : Feet = 15 : 100

Let 'x' be the feet required to find

15 : 100 :: 1/2 : x

Product of extremes  = product of means

          15 * x = 100 * (1/2)

          15 * x = 50

                  x = 50/15

                 x  =  10/3

                 x = [tex]3\frac{1}{3}[/tex]

5^2

Step-by-step explanation:

You just add the exponents

-3 +5 =2

Answer:

5^2 .............................

Step-by-step explanation:

-3 + 5 = 2

Answer: 6

Step-by-step explanation:

Answer:

C the square root of 15

Step-by-step explanation:

sqrt of 15 = 3.87298335...

Brainliest?

Answer:

A

Step-by-step explanation:

The child has 25 baseball cards.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

The total number of cards the child has can be calculated using the steps below.

We can use the following steps:

- Prime factorization of each number:

2= 2

4=  2²

8 = 2³

12 = 2² x 3

- For each prime factor, choose the maximum exponent in any row, and multiply those together to get the least common multiple.

i.e

The maximum exponent of 2 is 3 and the exponent of 3 is 1.

- The least common multiple.

= 2³ x [tex]3^1[/tex]

= 24

- Add one to get the total number of cards.

Now,

The child's baseball cards.

= 24 + 1

= 25

Therefore,

The child has 25 baseball cards.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ2

Answer:

10 bucks

Step-by-step explanation:

Answer:

$10

Step-by-step explanation:

10%=0.1

100*0.1=10

$10

Answer:

15.20

Step-by-step explanation:

Answer:

i think the answer is 7

Answer:

15 oranges

Step-by-step explanation:

Only if im correct in assuming you get 5 oranges per 75 cents if not then im  not sure because im confused by the question

Answer:

0.087

Step-by-step explanation:

So the equation would be:

x × 10 = 0.87

So you need to find what x is

An easy way to do this is to just to:

Move the decimal point twice to the left to get 0.087

Hope this helps!

Answer:

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

Answer:

A. 190/5.

Step-by-step explanation:

Adele made 190 cookies, which is five times the amount of cupcakes she made. To find the amount of cupcakes she made, we must divide 190 by 5. By doing this we get the answer: 38 cupcakes.

Hope this helps! Let me know!

Answer:

B. 50

Step-by-step explanation:

2×50=100

3×50=150

4×50=200

5×50=250

Answer:

m=6 x-intercept = ( ---- ----1,0,6) y-intercept =(0,1)

Step-by-step explanation:

Slope= rise and run Since 6 is essentially 6-1 we know that the slope goes up to 6 units  and right 1 unit on a graph.

Make sure to brainliest

Answer:

18:36

Step-by-step explanation:

their are 18 nickels and 12+6+18=36 total coins

so the ratio is 18 to 36  or  18:36

Answer:

The answer is below

Step-by-step explanation:

a) dV/dt = 5 cm³/s

The volume (V) of the bubble is:

[tex]V=\frac{4}{3} \pi r^3\\\\Differentiating\ with\ respect\ to \ time(t)\\\\\frac{d}{dt}(V)=4\pi r^2 \frac{dr}{dt} \\\\Substituting\ \frac{d}{dt}(V)=5\ cm^3/s \ and\ r = 10\ cm\\\\5 = 4\pi *10^2*\frac{dr}{dt}\\\\5=400\pi *\frac{dr}{dt}\\\\\frac{dr}{dt}=0.004\ cm/s[/tex]

b) The surface area of the sphere (A) is:

[tex]A=4\pi r^2\\\\Differentiating\ w.r.t.\ t:\\\\\frac{dA}{dt}= 8\pi r\frac{dr}{dt} \\\\r=10, dr/dt=0.004\\\\\frac{dA}{dt}= 8\pi *10*0.004\\\\\frac{dA}{dt}=1\ cm^2/s[/tex]

The rate at which the radius of the bubble is changing at that time is [tex]0.0125 \pi cm^2/s[/tex]

The rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

The formula for calculating the volume of a sphere is expressed as;

[tex]V =\frac{4}{3} \pi r^3[/tex]

r is the radius of the sphere

Differentiating the volume with respect to time;

[tex]\frac{dV}{dt} = \frac{dV}{dr} \times \frac{dr}{dt} \\\frac{dV}{dt} = 4 \pi r^2\frac{dr}{dt}[/tex]

Given the following parameters

dV/dt = 5 cm^3/sec.

r = 10 cm

Substitute into the formula to get dr/dt

[tex]\frac{dV}{dt} = 4 \pi (10)^2 \times \frac{dr}{dt}\\5 = 400 \pi \times \frac{dr}{dt}\\ \frac{dr}{dt}=0.0125 \pi cm/s\\[/tex]

The surface area of the bubble is expressed as:

[tex]S = 4 \pi r^2\\\frac{dS}{dt} = \frac{dS}{dr}\times \frac{dr}{dt}\\ \frac{dS}{dt} =8 \pi r \times 0.0125 \pi\\ \frac{dS}{dt} =\pi ^2 cm^2/s[/tex]

Hence the rate at which the surface area of the bubble is changing at that time is [tex]\pi^2 cm^2/s[/tex]

Learn more here: https://brainly.com/question/12663882

Answer:

Anything above 9

Step-by-step explanation:

63/7=9

Answer:

c. 32 ounces

Step-by-step explanation:

Given that:

The weight of the Spot = 12 ounces

The weight of Rascal = 9.5 ounces;  &

The weight of Socks = 10.2 ounces.

To find the litters' total weight, we will sum all the given number of the puppies.

i.e. Total weight of the litter = (12 + 9.5 + 10.2) ounces

Total weight of the litter = 31.7 ounces

Total weight of the litter [tex]\simeq[/tex] 32 ounces to the correct number of significant figures.

Answer:

2.50 is the y-intercept, and 0.30 is the slope.

Step-by-step explanation:

y = 0.3x + 2.5

Answer:

Y intercept is the intercept that goes up and down on a graph. (x,y) Rise/run is the slope. Rise is how many y units one point is from the other and run is how many x units is away from one point to another on a graph. Hope this helped at all.

Answer:

B

Step-by-step explanation:

That's my guess.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]x_{1,\:2}=\frac{-\left(-29\right)\pm \sqrt{\left(-29\right)^2-4\cdot \:14\left(-15\right)}}{2\cdot \:14}[/tex]     so    [tex]x=\frac{5}{2}[/tex]     [tex]x=-\frac{3}{7}[/tex]