In a field, water flows down through the soil and then through a layer of loose rocks before the flow stops.

What type of material did the water most likely encounter when it stopped?

a layer of granite
another soil layer
a layer of rocks with cracks
another layer of loose rocks

Answer:

(x - 2) is not a factor of Q(x)

Step-by-step explanation:

if (x - h) is a factor pf f(x) then f(h) = 0

if (x - 2) is a factor of Q(x) then Q(2) = 0

Q(2) = 2² - 3(2)² - 4(2) + 12

       = 4 - 3(4) - 8 + 12

       = 4 - 12 + 4

       = - 8 + 4

       = - 4

since Q(2) ≠ 0 then (x - 2) is not a factor of Q(x)

However , if the polynomial was meant to be

Q(x) = x³ - 3x² - 4x + 12 , then

Q(2) = 2³ - 3(2)² - 4(2) + 12

       = 8 - 12 - 8 + 12

       = 0

then (x - 2) is a factor of Q(x) = x³ - 3x² - 4x + 12

Answer:

7.1

Step-by-step explanation:

To round 7.09 to the nearest tenth, you must use the hundredths' place value of 7.09, which is 9 and equal or more than 5. Therefore, the tenths value of 7.09 increases by 1 to 7.1.

let's recall d = rt, or namely distance = rate * time.

b = speed of the boat in still water

c = speed of the current

when going Upstream, the boat is not really going "b" fast, is really going slower, is going "b - c", because the current is subtracting speed from it, likewise, when going Downstream the boat is not going "b" fast, is really going faster, is going "b + c", because the current is adding its speed to it.

[tex]\begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ \cline{2-4}&\\ Upstream&82&b-c&2\\ Downstream&106&b+c&2 \end{array}\hspace{5em} \begin{cases} 82=(b-c)2\\\\ 106=(b+c)2 \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{using the 1st equation}}{82=(b-c)2}\implies \cfrac{82}{2}=b-c\implies 41=b-c\implies \boxed{41+c=b} \\\\\\ \stackrel{\textit{substituting on the 2nd equation}}{106[~(41+c)+c~]2}\implies \cfrac{106}{2}=41+2c\implies 53=41+2c \\\\\\ 12=2c\implies \cfrac{12}{2}=c\implies \blacksquare~~ 6=c ~~\blacksquare~\hfill \blacksquare~~ \stackrel{41~~ + ~~6}{47=b} ~~\blacksquare[/tex]

Answer:

x/3+3=x/8+1/11

x+9/3=11x+8/88

88(x+9)=3(11x+8)

88x+729=33x+24

88x-33x=729-24

55x=705

x=705/55

x=12.80

Answer:

Step-by-step explanation:

So whenever you see alphabets in math, these are called variable. Like the word suggests, variables can have different values depending on the problem.

For the first problem, the variable k equals 10, and the question asks you when k=10, what does that make k+26. All you do is substitute the value of k with the given value of k=10, and you get 10 + 26 = 36.

This way you can solve the rest of them.

Ask me if you get confused and we can work on rest of them.

Answer:

Step-by-step explanation:

Q1

Q2

Q3

Q4

Q5

Q6

Answer:

That's the right answer

Step-by-step explanation:

Hope to help

mark me as brainlinest plss

Answer:

0-9: 4

10-19: 4

20-29: 1

30-39: 4

40-49: 2

Step-by-step explanation:

Since frequency means how many times it showed up in the list

this all adds up to 15, making it an easy check.

hope this helps:)

Answer:

-2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(4x^4 - 1)(4x^4 + 1)

(2x^2 - 1)(2x^2 + 1)(4x^4 + 1)

option b

see attachment for solution

hope it helps...!!!

Answer:

area: 165yd^2 perimeter:26yd or 33yd

Step-by-step explanation:

11ydx15yd= 165yd^2

11yd+15yd=26yd

Answer:

56.1, 36.2

Step-by-step explanation:

For this we need to use the Pythagorean Theorem, which is a^2+b^2=c^2. We have our a and c values, so we can make the equation 11^2+b^2=15^2, or 121+b^2=225. Next, we isolate b.

121+b^2=225

-121         -121

___         ___

0             104

b^2=104

Now, we have to find the square roots of both sides. If we do this, we get b= 10.2.

Now, we can find our perimeter:

11+15+10.2= 36.2

For area, the formula is 1/2(b)h (1/2 times the base and height), so:

1/210.2=5.1

5.1*11=56.1

Hope this helps!

Answer:

60%

Step-by-step explanation:

Percent means per hundred. Change to "per hundred"

3/5 = 6/10 = 60/100

3/5 is 60%

OR

Divide 3/5 means 3÷5...

3÷5 = .6

Change decimal to percent by multiplying by 100.

.6 × 100 = 60

60%

Answer:

60%

Step-by-step explanation:

well if they only finished 3/5 it’s going to be

60/100 = 60%

No

[tex] \frac{5}{10} = \frac{5 \times 1}{5 \times 2} = \frac{1}{2} \\ [/tex]

Answer:

it 5

Step-by-step explanation:

Answer:

Width = 7 inches

Length = 23 inches

Step-by-step explanation:

Let :

Equating to area :

Dimensions are :

Answer:

Length: 23 inches

Width: 7 inches

Explanation:

As length measure cannot be negative. Width is +7 inches

Length: 2w + 9 = 2(7) + 9 = 14 + 9 = 23

To find the degrees of freedom in the given question, we have to take into consideration of the confidence interval as well as degrees of freedom. The critical t-value in this data set is 2.086

This is the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

We can also say that it is a range of values so defined that there is a specified probability that the value of a parameter lies within it.

Data;

At a 95% confidence level, the t is

α   =  1  -   0.95

The critical t-value in this data set is 2.086

Learn more on t-value here;

brainly.com/question/4079902

#SPJ1

Answer:

no solution

Step-by-step explanation:

6x + 33 = 6x + 36

33 ≠ 36

Answer:

no solutions

Step-by-step explanation:

6x + 33 = 6(x + 6) ← distribute parenthesis

6x + 33 = 6x + 36 ( subtract 33 from both sides )

6x = 6x + 3 ( subtract 6x from both sides )

0 = 3 ← not possible

This indicates the equation has no solution

]

Answer:

2,265.60 ft/hr

Step-by-step explanation:

168ft/6min = 28ft/min * 60min= 1,680ft/hr

472ft/12.5min= 37.76ft/min * 60min= 2,265.60ft/hr

Answer:

y = x+8

Step-by-step explanation:

You find the difference between the value of y and value of x which is 8 so no matter what x is you always add 8 to get the y value. :)

Answer:

y = x + 8

Step-by-step explanation:

Find the difference between each x and y-value :

Let's take the pair (18, 26)

The number -1.28 is rational if it is an integer or decimal, so yes it is.

Answer:

we have 1.28 with bar above 28 signifying that the number can also be written as 1.28282828 The mixed number is then equal to,

1 and 28/99 or 1 and 28 over 99

Therefore, the answer to this item is the second choice.

Step-by-step explanation:

My brother helped me with this one

Answer:

There is a slight difference but the result is the same.

In the notation ddx(y) the ddx part is an operator which says ‘the function which is the differential with respect to x of ⋯’ and y is the function being operated on. The ddx and y are two separate entities in this notation.

In the notation dydx we mean the function that is the result of differentiating the function y with respect to x. In this case, there is only a single entity: dydx.

Both notations mean ‘the function which is the differential of function y by x

Answer:

a

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

u know that the left triangle is not a right angles triangle so u cannot do Pythagoras and 27 is the other bottom side meaning that the length of the left triangle base is 20.25

Answer:

40

Step-by-step explanation:

Using BODMAS

[tex](2 \times (8)) + (6 \times 4)[/tex]

[tex]16 + 24 = 40[/tex]

Answer:

40

Step-by-step explanation:

Using PEMDAS

Simplify terms in the parentheses.

Multiplying

Adding

Answer:

[tex]x = - 5 [/tex]

Step-by-step explanation:

To work out this question you have to first cross multiply.

[tex] \frac{2}{5} = \frac{(x - 3)} {(7x + 15)} \\ \\ 2(7x + 15) = 5(x - 3)[/tex]

When you cross multiply you will get the equation above. Therefore

[tex](2 \times 7x) + (2 \times 15) = (5 \times x) \\ - (5 \times 3) \\ \\ 14x + 30 = 5x - 15 \\ \\ 14x - 5x = - 30 - 15 \\ \\ 9x = - 45[/tex]

Therefore

[tex] \frac{9}{9} x = \frac{ - 45}{9} \\ \\ x = - 5[/tex]

Answer:

x = -5

Step by step:

multiply both side by 7x + 15.

2/5 (7x+15)= x − 3

Simplify 2)5 (7x+15) to 2(7x+15)/5.

2(7x+15)/5= x - 3

multiply both sides by 5.

2(7x+15)= 5x - 15

Expand.

14x+30= 5x - 15

subtract 5x from both sides.

14x+30−5x= − 15

Simplify 14x + 30 - 5x14x + 30−5x to 9x + 309x + 30.

9x+30= - 15

Subtract 30 from both sides.

simplify

x = -5

Answer:

:

Answer:the radius would be 88cm

Step-by-step explanation:

radius. r = base circumference. C = volume. V = curved surface area.

Answer:

y = 45,121,040×1.027^t

Step-by-step explanation:

An exponential growth equation is generally of the form ...

 value at time t = (initial value)(growth factor)^t

where the growth factor is the multiplier for a period equal to one time unit.

Here, the initial value (in 2014) is 45,121,040. The growth factor is given as 1.027 (2.7% added per year), and we can define t as the number of years after 2014. Then our equation is ...

 y = 45,121,040×1.027^t . . . . where t = years after 2014

Answer:

[tex]f'(x)=\displaystyle -\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]

Step-by-step explanation:

Recall the power series [tex]\sin(x)=\displaystyle \sum\limits^\infty_{n=0}(-1)^n\frac{x^{2n+1}}{(2n+1)!}[/tex].

In this case, [tex]x[/tex] is replaced with [tex]\displaystyle \frac{1}{1+e^x}[/tex], so our power series actually works out to be [tex]\displaystyle \sin\biggr(\frac{1}{1+e^x}\biggr) =\sum\limits^\infty_{n=0}(-1)^n\frac{\bigr(\frac{1}{1+e^x}\bigr)^{2n+1}}{(2n+1)!}[/tex]! Amazing, huh?

Now, we find the derivative of the function by using the chain rule:

[tex]\displaystyle \frac{d}{dx}\sin\biggr(\frac{1}{1+e^x}\biggr)=\frac{d}{dx}\biggr(\frac{1}{1+e^x}\biggr)*\cos\biggr(\frac{1}{1+e^x}\biggr)=-\frac{e^x}{(1+e^x)^2}\cos\biggr(\frac{1}{1+e^x}\biggr)[/tex]

You didn't specify if you just wanted the derivative of the series to be a function or a series, so I'm going to assume you want the function. Let me know if there's more to your problem.

Answer:

3.25\

Step-by-step explanation:

Answer:

$2.52

Step-by-step explanation:

u have to at the lb. and the $ and which will give u more for a less price so we x out $5.53 and then 5.13.now all you have left is 2.52 and 3.37 and 3.37 is more than 2.52 and 2 lb. is more ik but u save more money by buying 1.5 lb.

hope this helps:)!!

Answer:

Step-by-step explanation:

1,)

3x+y=4 <-Equation 1

2x-y=6 <-Equation 2

Step 1 Eliminating Y Multiply negative both side

-[3x +y = 4 ] -

-3x-y = -4 <-Equation 3

Equation 2 to Equation 3

2x-y=6

-

-3x-y = -4

= 5x = 10

x =2

Substituting X to Equation 1

3x+y=4

3(2) + y =4

6 + y = 4

y = -2

Therefore x =2 and y = -2