The function f(x) = –4x2 represents the path of a whale as it surfaces for air and dives again. Select all the observations that are true about the whale’s path.

A. The domain is all real numbers x until the ocean hits the shore.

B. The range is (−∞,−4)

C. There are two points where the whale touches the surface.

D. f is decreasing for the whale's entire path.

E. The point where the whale touches the surface is a maximum.

Answer:

20

Step-by-step explanation:

A=1/2bh

A=1/2(8×5)

A=1/2(40)

A=20

Answer:

c or b

Step-by-step explanation:

Answer: 0.48 rad/sec

Step-by-step explanation:

dx/dt = 3ft

to find d∅/dt when x = 3

Using the right angled triangle

ΔABC

Now perpendicular (BC) = X FT

Base ( AC) 4 ft

so Hypotenuse(AB) = √ (BC² + AC²) = √ ( x² + 4²) = √ ( x² + 16)

and x/4 = tan∅ ; x = 4tan∅

now we differentiate each side

dx/dt = d/dt(4tan∅) = d/d∅(4tan∅) d∅/dt

⇒ dx/dt = (4sec²∅) d∅/dt  = ( 1/4 cos²∅) dx/dt

⇒ d∅/dt = cos²∅/4 × 3 = 3/4 cos²∅

now when x = 3, the length of the beam is

{from our initial equation (AB) = √ (BC² + AC²)}

AB = √(3² + 4²) = √(9 + 16) = 5ft

therefore cos∅ = 4/5

so we substitute in  (d∅/dt = ( 1/4 cos²∅) dx/dt)

d∅/dt = 1/4 ( 4/5)² × 3

d∅/dt = 12/15 = 0.48 rad/sec

Answer:

f(5) = 2

Step-by-step explanation:

Given:

For x=5 :

Answer:

Following are the answer to this question:

Step-by-step explanation:

Given:

n = 30 is the sample size.  

The mean  [tex]\bar X[/tex] = 7.3 days.  

The standard deviation = 6.2 days.  

df = n-1  

     [tex]= 30-1 \\ =29[/tex]

The importance level is [tex]\alpha[/tex] = 0.10  

The table value is calculated with a function excel 2010:

[tex]= tinv (\ probility, \ freedom \ level) \\= tinv (0.10,29) \\ =1.699127\\ = t_{al(2x-1)}= 1.699127[/tex]

The method for calculating the trust interval of 90 percent for the true population means is:

Formula:

[tex]\bar X - t_{al 2,x-1} \frac{S}{\sqrt{n}} \leq \mu \leq \bar X+ t_{al 2,x-1} \frac{S}{\sqrt{n}}[/tex]

[tex]=\bar X - t_{0.5, 29} \frac{6.2}{\sqrt{30}} \leq \mu \leq \bar X+ t_{0.5, 29} \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 \frac{6.2}{\sqrt{30}}\leq \mu \leq7.3 +1.699127 \frac{6.2}{\sqrt{30}}\\\\=7.3 -1.699127 (1.13196)\leq \mu \leq7.3 +1.699127 (1.13196) \\\\=5.37 \leq \mu \leq 9.22 \\[/tex]

It can rest assured that the true people needs that middle managers are unavailable from 5,37 to 9,23 during the years.

Answer: A person can draw a point of x of 0 and y of 5, a second point by going over 1 and up 2, and then draw a line through the points.

Step-by-step explanation:

if x is equal to 0 then y will equal to 5  which in this case will represent the y intercept. And after plotting the point (0,5) you can use the slope and move over or left by 1 and move up by 2 to find the next point.

Pascal's triangle is a way of organizing the coefficients in the binomial expansion, [tex](a+b)^n[/tex]:

n = 0   =>  1

n = 1    =>  1   1

n = 2   =>  1   2   1

n = 3   =>  1   3   3   1

n = 4   =>  1   4   6   4   1

and so on, where each row starts and ends with a 1, and the numbers in the middle are obtained by adding together the two numbers directly above and to the left. These coefficients are then mulitplied by descending powers of a and descending powers of b (or vice versa, because the pattern is symmetric), starting with 0 and going up to n.

In this case, we have

[tex](x+4)^3=1\cdot x^3\cdot4^0+3\cdot x^2\cdot4^1+3\cdot x^1\cdot4^2+1\cdot x^0\cdot4^3[/tex]

Notice how the powers of x and 4 always sum to n = 3.

Simplifying, we get

[tex](x+4)^3=x^3+12x^2+48x+64[/tex]

so that

a = 1

b = 3

c = 12

d = 2

e = 48

f = 1

g = 64

Answer:

-18x square y -+36xy square + 54 xy - 1

Step-by-step explanation:

collect the terms, calculate the product, collect the terms, then distribute

Answer:

j

Step-by-step explanation:

Answer:

[tex]x^{-2}y^{-5}[/tex]

Step-by-step explanation:

The options are not given; however, the question can still be solved

Given

[tex]y^{-8}y^3x^0x^-2[/tex]

Required

Simplify

Start by rewriting the expression

[tex]y^{-8} * y^3 * x^0 * x^{-2}[/tex]

Apply the following laws of indices: [tex]a^x * a^y = a^{x+y}[/tex]

This gives:

[tex]y^{-8+3} * x^{0-2}[/tex]

Evaluate the exponents

[tex]y^{-5} * x^{-2}[/tex]

[tex]x^{-2}y^{-5}[/tex]

Hence, [tex]x^{-2}y^{-5}[/tex] is equivalent to [tex]y^{-8}y^3x^0x^-2[/tex]

Answer:

The answer is- (Drumroll)

Step-by-step explanation:

The answers are [tex]x^-2y^-5[/tex], and [tex]1/x^2y^5[/tex]

Answer:

200 words per minute

Step-by-step explanation:

1000:5

1000/5 reduced will give you your unit rate.

200 words/minute

If 1000 words were read in 5 minutes, each minute would be 1000 divided by 5 which is 200.

Answer:

well you put a plus sign, but im letting you know I did the division.

Step-by-step explanation:

The answer is 35 remainder 11.

Hope this helped

Answer:

Step-by-step explanation:

Given h(t) = t²+t+ 12 and k(t) = √t-1, we are to find k(k.h)(10)

k{h(t)} = k{ t²+t+ 12}

Since k(t)= √t-1, we will replace the variable t in the function with t²+t+ 12

k(h(t)) = √{(t²+t+ 12)-1}

k(h(t)) = √t²+t+12-1

k(h(t)) = √t²+t+11

Substituting t = 10 into the resulting function;

k(h(10)) =  √(10)²+(10)+11

k(h(10)) = √100+10+11

k(h(10)) = √121

k(h(10))= 11

hence the value of  (k compose h) (10) is 11

Answer:

n = 10.286      aprox.

Step-by-step explanation:

n+4 + n/6 = 16

n/6 = 16 - 4 - n

n = 6(12-n)

n = 6*12 + 6*-n

n = 72 - 6n

n + 6n = 72

7n = 72

n = 72/7

n = 10.286       aprox.

verify:

10.286 + 4 + (10.286/6) = 16

14.286 + 1.714 = 16

Answer:

a c d

Step-by-step explanation:

Answer:

a is a 1 and then you subtraction the b is equal 0

Answer:

1.125 feet

Step-by-step explanation:

1 yard = 3 feet

3/4 yard = 2.25 feet

2.25 feet / 2 = 1.125 feet per frame

i hope this helps!

-TheBusinessMan

Answer: 1

Step-by-step explanation:

Answer:

B. Jon wants a face card so he can have a winning hand, and he receives the eight of clubs.

Step-by-step explanation:

non overlapping events are mutually exclusive events meaning that they do not occur together, one occurs and the other doesn't and vice versa. From the example, Jon wants a face card but got eight of clubs, he cannot have a face card and eight of clubs together, one occurs while the other is absent. So if Jon got a face card, he would not have eight of clubs

Jon wants a face card so he can have a winning hand, and he receives the eight of clubs.

Given,

Statements .

Here,

Non overlapping events are mutually exclusive events meaning that they do not occur together, one occurs and the other doesn't and vice versa.

For instance,

Jon wants a face card but got eight of clubs, he cannot have a face card and eight of clubs together, one occurs while the other is absent.

So if Jon got a face card, he would not have eight of clubs .

Thus option B is correct statement .

Know more about mutually exclusive events,

https://brainly.com/question/28565577

#SPJ6

Answer:

1/24

Step-by-step explanation:

1/3÷ 8

Copy dot flip

1/3 * 1/8

1/24

Answer:

1/24

Step-by-step explanation:

Answer:

$20,475

Step-by-step explanation:

you multiply 19,500 by 0.05 (19500*0.05) to get $20,475

Hope this helps :)

Answer:

FV= $160.68

Step-by-step explanation:

Giving the following information:

Initial investment= $150

Interest rate= 3.5% compounded annually

Number of periods= 2

To calculate the future value, we need to use the following formula:

FV= PV*(1+i)^n

PV= present value

i= interest rate

n= number of periods

FV= 150*(1.035^2)

FV= $160.68

Answer:

The value for the test statistics = 3.48

Step-by-step explanation:

Given that:

population mean [tex]\mu[/tex] = 75

sample size n = 25

sample mean [tex]\overline x[/tex]= 78.48

standard deviation = 5

The value for the test statistics can be computed by using the formula:

[tex]z = \dfrac{\overline x- \mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \dfrac{78.48- 75}{\dfrac{5}{\sqrt{25}}}[/tex]

[tex]z = \dfrac{3.48}{\dfrac{5}{5}}[/tex]

z = 3.48

The value for the test statistics = 3.48

Answer:

5

Step-by-step explanation:

2.75-(-2.25)=

2.75+2.25=

5

Answer:

448,648

Step-by-step explanation:

33,200/.074 = 448,648

Answer: 448648

Step-by-step explanation:

33,200 copies represent 7.4% of the total amount

-----------------------------------------------------

#1  33,200 ÷ 7.4%

- this is because how we get 33,200 by calculation is use the total amount and times 7.4% to get 33,200. So we are just working backwards. Since it was times before, then we divide after.

 33,200÷7.4%

=33,200÷0.074

≈448648 (you can't round up when the real amount is less the exact amount)

Answer:

Step-by-step explanation:

using the given integral

calculate:  Δx = (12-0) / 8 = 3/2

Xo = 0,   f(x) = [tex]x^3sin(x)[/tex]

X1 = 3/2 ,   X2 = 3, X3 = 9/2,  X4 = 6,  X5 = 15/2,  X6 = 9,  X7 = 21/2,  X8 = 12

Inputting the given values into the Trapezoid rule, midpoint rule and Simpson's rule to approximate the given integral with the specified value of n = 8

Answer:

see explanation

Step-by-step explanation:

Assuming you require the derivative of f(x) from first principles, then

f' (x) = [tex]lim_{h>0}[/tex] [tex]\frac{f(x+h)-f(x)}{h}[/tex]

       = [tex]lim_{h>0}[/tex] [tex]\frac{\frac{1}{(x+h)}-\frac{1}{x} }{h}[/tex]

       = [tex]lim_{h>0}[/tex] [tex]\frac{\frac{x-(x+h)}{x(x+h)} }{h}[/tex]

       = [tex]lim_{h>0}[/tex] [tex]\frac{\frac{x-x-h}{x(x+h)} }{h}[/tex]

        = [tex]lim_{h>0}[/tex] [tex]\frac{-h}{hx(x+h)}[/tex] ← cancel h on numerator/ denominator

        =  - [tex]\frac{1}{x^2}[/tex]

Answer:

B. 0.09x

Step-by-step explanation:

x is the initial price.

0.09x is the 9% sales tax.

-30 is the instant rebate.

Answer:480

Step-by-step explanation:

To find volume u need to multiply height * width * length