Select the correct answer from each drop-down menu.
Consider function f, where B is a real number.
f(x)
tan(BT)
Complete the statement describing the transformations to function fas the value of Bis changed.
y, and the frequency of the function
As the value of Bincreases, the period of the function
When the value of Bis negative, the graph of the function

Answer:

3rd

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

volume=length x width x height

5x3x3=45

Answer:

504 in.^2

Step-by-step explanation:

Area = base times height

Answer:

    1,080 in.2

    1,260 in.2

✔ 1,620 in.2

    2,160 in.2

or C for the lazy people, don't sweat it - im lazy too

Answer:

(a) The units of f'(s) is kilometer per liter

(b) [tex]\triangle = 2.22 * 10^{-4}[/tex]

Step-by-step explanation:

Given

[tex]C = f(s)[/tex]

[tex]f(80) = 0.015, f(90) = 0.02, f(100) = 0.027[/tex]

Solving (a): Unit of f'(s)

From the question, we understand that:

[tex]C = f(s)[/tex]

and

[tex]C = Litre/km[/tex] --- units

f'(s) is the inverse of C.

Hence:

i.e.

[tex]f'(s) = C^{-1}[/tex] --- units

So, we have:

[tex]f'(s) = (Litre/km)^{-1}[/tex]

[tex]f'(s) = Km/Litre[/tex]

Solving (b): Instantaneous rate of change at:

[tex]s = 90[/tex]

We have:

[tex]C = f(s)[/tex]

The change is calculated as:

[tex]\triangle = \frac{f(s)}{s}[/tex]

Substitute 90 for s

[tex]\triangle = \frac{f(90)}{90}[/tex]

Given that: [tex]f(90) = 0.02[/tex]

[tex]\triangle = \frac{0.02}{90}[/tex]

[tex]\triangle = 0.000222[/tex]

[tex]\triangle = 2.22 * 10^{-4}[/tex]

Answer:

x = 12

Step-by-step explanation:

We will label the unknown interior angle of the triangle d.

14x - 19 + d = 180

14x + d = 199

d = 199 - 14x

199 - 14x + 3x + 9x + 7 - 2 = 180

199 - 2x +5 = 180

204 - 2x = 180

204 = 180 + 2x

2x = 24

x = 12

Answer:

35%

Step-by-step explanation:

This is simple, just use the formula: Number1 / Number 2 x 100 when you use it it will look like: 56/160x100 which 56/100 is 0.35 and 0.35x100 is 35%

Answer:

Step-by-step explanation:

To get the solution lying in the shaded region,

Justify the equation with the given options,

Option (1)

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

For (1, 1),

[tex]\frac{1^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+\frac{1}{4}\leq 1[/tex]

[tex]\frac{1+4}{16}\leq 1[/tex]

[tex]\frac{5}{16}\leq 1[/tex]

True.

Therefore, point (1, 1) justifies the equation.

Option (2)

For (4, 1),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{4^2}{16}+\frac{1^2}{4}\leq 1[/tex]

[tex]1+\frac{1}{4}\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (4, 1) doesn't justify the equation.

Option (3)

For (-1, 2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{(-1)^2}{16}+\frac{(2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{16}+1\leq 1[/tex]

[tex]1\frac{1}{16}\leq 1[/tex]

False.

Therefore, point (-1, 2) doesn't justify the equation.

Option (4)

For (2, -2),

[tex]\frac{x^2}{16}+\frac{y^2}{4}\leq 1[/tex]

[tex]\frac{2^2}{16}+\frac{(-2)^2}{4}\leq 1[/tex]

[tex]\frac{1}{4}+1\leq 1[/tex]

[tex]1\frac{1}{4}\leq 1[/tex]

False.

Therefore, point (2, -2) doesn't justify the equation.

Option (1) will be the answer.

Answer:

C : VALID

Step-by-step explanation:

Answer:

B. 60°

Step-by-step explanation:

minor arc KM = 2×30° = 60°

Answer:

6.3 billion people

Step-by-step explanation:

[tex]A=5(1.03)^t[/tex]

The "base year" is 1987 when there were 5 billion people.  That year corresponds to  t = 0  (t measures years after 1987)

That makes 1995 = 1995 - 1987 = 8, so t = 8.

Evaluate [tex]A=5(1.03)^8 \approx 6.3[/tex]

Answer:

9weeks 2days = (9 × 7) + 2 = 63 +2=65 days

Step-by-step explanation:

Answer:

65 days

Step-by-step explanation: 7 days in a week so times that by 9 because its 9 weeks and that is 63 and add 2 more days

Answer:

−f(x)=2x+90f

Step-by-step explanation:

8

Step-by-step explanation:

8 × $70 = $560

20 × $140= $2800

$560 + $2800 = $3360

Answer:

should be C

Step-by-step explanation:

They are congruent

In the picture, the angle diagnoly across from the 4th angle is congruent (or equal to) the angle making 5 and that angle congruent.

Answer:

67*4 = 268 cards

hope this helps

Step-by-step explanation:

Answer:

you just need to *

Step-by-step explanation:

67 * 4 = 268!

have a lovely day and god bless you and ur family ! hope this helped

-lei

Answer: 0

Step-by-step explanation:

Answer:

500 miles

Step-by-step explanation:

20 + .12m = 80

.12m = 60

m = 60/.12

m = 500

Answer:

b)   x = -7

Step-by-step explanation:

x = -7 is a vertical line

vertical lines are parallel to the y axis

Answer:

150ft²

Step-by-step explanation:

surface area = (2×½×8×3)+(8+5+5)×7

= 24+126

= 159 ft²

Answer:

Step-by-step explanation:

It is the same way:

       we know that

if A , O and B lie on a straight line segment

then

∡AOY+∡YOZ+∡ZOB=180°

so

3x+x+x=180-----> 5x=180--------> x=180/5--------> x=36°

the answer is

x=36°

please mark me as brainliest

Answer:

2

Step-by-step explanation:

5x + 4y = 8

5*0 + 4y = 8

y = 8/4

y=2

Answer:

Yes. As we can see, there is a clear pattern for what we see. For every potato, we have to cook it for an extra 5 minutes. Thus, as the data is constant in the pattern, it is proportional.

Answer:

Yes, the data is proportional. We know this because, in each scenario, the input is multiplied by 5 to produce the output.

Step-by-step explanation:

2 × 5 = 10

3 × 5 = 15

5 × 5 = 25

Answer:

28.3

Step-by-step explanation:

the formula for area is πr²

where π is 3.14

r is 3

area= 3.14 x 3²

area= 3.14 x 9

area= 28.28 approximately 28.3

Answer:

-5

-8

49

Step-by-step explanation:

if a circle has a enter of (-5,-8) the first part looks like

(x+5)²+(y+8)²

to find the radius just plug in x=2 and y= -8

(2+5)²+(-8+8)²

7²+0=49

Answer:

Yes.

Step-by-step explanation:

A rational number is a number that is a result when you divide two integers.

Answer:

0

Step-by-step explanation:

0 is an integer.

plz mark as brainliest

Answer:

68.47

Step-by-step explanation:

Given that:

The surface of the paraboloid [tex]z = 2(x^2 +y^2) \ for \ 0 \le z \le 8[/tex]

TO find the area of the given paraboloid, we need to first determine [tex]z_x \ and \ z_y[/tex].

This is because the surface area can be determined by using the formula:

[tex]\int \int _R \sqrt{z_x^2+z_y^2+ 1}\ dA[/tex]

Thus;

[tex]z_x = \dfrac{\partial }{\partial x}(2 ( x^2 +y^2) )[/tex]

[tex]z_x = 4x[/tex]

[tex]z_y = \dfrac{\partial }{\partial y }(2(x^2 +y^2))[/tex]

[tex]z_y = 4y[/tex]

Now;

[tex]\sqrt{z_x^2 + z_y^2 +1 } = \sqrt{(4x)^2 + (4y)^2+1 } \\ \\ \implies \sqrt{16x^2+16y^2+1}[/tex]

[tex]\implies \int \int \sqrt{16x^2 +16y^2+1}\ d x dy \\ \\ \implies \int \int \sqrt{16(x^2+y^2)+1 } \ dxdy[/tex]

Using the polar coordinate since the paraboloid shows the projection of a circle with [tex]x^2+y^2 =4[/tex]

[tex]\int \int \sqrt{16(x^2+y^2)+1 } \ dxdy = \int^{2 \pi}_{0} \ \int^{2}_{0} r \sqrt{16r^2+1} \ dr d\theta \\ \\ \implies \dfrac{1}{48} \Big ( ( 16r^2 +1 )^{\dfrac{3}{2}}\Big) ^2_0 \ \ \int ^{2 \pi}_{0} \ d \theta \\ \\ \implies \dfrac{2 \pi}{48} \Big ( (65^{\dfrac{3}{2}} -1 ) \Big) \\ \\ \implies \dfrac{2 \pi}{48}(523.046) \\ \\ \implies \mathbf{68. 47}[/tex]

Answer:

(-5,-3)

Step-by-step explanation:

The answer is (-5,-3)