The number line shows the elevation of the bottom of a harbor and the elevation of a fish swimming closer to the surface A what change in elevation is necessary for the fish to reach bottom B once the fish reaches the bottom what change in elevation will bring it back up to the surface

Answer:

67

Step-by-step explanation:

Answer:

there asking you what the veritable represent

Answer:

What does the circle look like?

Step-by-step explanation:

To find the area use 3.14 times the radius squared.

Give me the picture of the circle so I can solve it.

It should be noted that the percentage of the students taking math at the college is 46.7%.

From the information, there are 6,552 students at a particular college, and 3,060 students are taking math.

The percentage of the students at the college that are taking math will be:

= 3060/6552 × 100

= 46.7%

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Answer:

1 1/3 pounds

Step-by-step explanation:

15/9 = 1 1/3

Hope this helps!

Answer:

1.66pounds/$

Step-by-step explanation:

$9=15pounds

$1= less

1/9×15

=15÷9

=5÷3

=1.66pounds/$

Answer:

12a + 3b.

Step-by-step explanation:

3(4a + b)

= 3 * 4a + 3 * b

= 12a + 3b.

Hope this helps!

Answer:

\(12a+3b\)

Step-by-step explanation:

\(\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=3,\:b=4a,\:c=b\\=3\times \:4a+3b\\\mathrm{Multiply\:the\:numbers:}\:3\times \:4=12\\=12a+3b\)

The size of the exterior angle in the given 7-sided shape, as shown in the image attached below is: x = 46°.

To calculate the size of the exterior angle in a polygon when the interior angle is known, we can use the following relationship:

Interior angle + Exterior angle = 180°

Given that the interior angle measures 134°, as shown in the image below, we can substitute it into the equation:

134° + Exterior angle = 180°

To isolate the exterior angle, we subtract 134° from both sides of the equation:

Exterior angle = 180° - 134°

Simplifying further:

Exterior angle = 46°

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1. My Russian is a bit rusty. I think you're asking to find the antiderivatives in the first part:

а) \(\displaystyle \int 2x^n - 5x \, dx = \boxed{\frac2{n+1} x^{n+1} - \frac52 x^2 + C}\)

This follows from the power rule for differentiation,

\(\dfrac d{dx} x^n = n x^{n-1}\)

I'm not sure what the power on the first term is, so I just use a general real number n. This solution is correct as long as n ≠ -1; otherwise we would have

\(\displaystyle \int 2x^{-1} - 5x = 2\ln|x| - \frac52 x^2 + C\)

б) Using the fact that

\(\dfrac d{dx} \sin(x) = \cos(x)\)

as well as the power rule from part (a),

\(\displaystyle \int 3 \cos(x) - x \, dx = \boxed{3 \sin(x) - \frac12 x^2 + C}\)

в) By the chain rule,

\(\dfrac d{dx} \sin(5x) = 5 \cos(5x)\)

\(\dfrac d{dx} \cos(3x) = -3 \sin(3x)\)

Hence

\(\displaystyle \int \cos(5x) - \frac16 \sin(3x) \, dx = \boxed{\frac15 \sin(5x) + \frac1{18} \cos(3x) + C}\)

2. These just look like standard definite integrals. Using the known derivatives mentioned in part (1) in conjunction with the fundamental theorem of calculus, we have

a)

\(\displaystyle \int_0^1 x^2 \, dx = \frac13 x^3 \bigg|_{x=0}^{x=1} = \frac13 (1^3 - 0^3) = \boxed{\frac13}\)

б)

\(\displaystyle \int_0^{\frac\pi2} \sin(x) \, dx = -\cos(x) \bigg|_{x=0}^{x=\frac\pi2} = -\left(\cos\left(\frac\pi2\right) - \cos(0)\right) = \boxed{1}\)

Answer:

Step-by-step explanation:

The rule is:

We have x- values of 1, 3, 10 and need to find the y-values.

Substitute the values of x into the rule to find the corresponding values of y:

We need y values of 1,3,10

#1

#3

#10

angle 1 = 180° - 115° (Linear Pair)

angle 1 = 65°

angle 2 = angle 1 = 65° ( Angles on the equal sides of an isosceles triangle )

angle 3 = 180° - (65° + 65°) (Angle Sum Property)

angle 3 = 180° - 130°

angle 3 = 50°

angle 4 = 180° - 65° (Linear Pair)

angle 4 = 115°

angle 5 = 115° (Vertically Opposite Angles)

We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

We have,

To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:

S = ∫(a to b) 2πy√(1 + (f'(x))²) dx

In this case,

f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).

Let's calculate the surface area:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx

Simplifying the expression inside the integral:

S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx

Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

To find the surface area of revolution about the x-axis of the function

f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:

S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx

Let's calculate the integral:

S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx

To simplify the calculation, let's simplify the expression inside the integral first:

S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx

Next, we can distribute the square root and simplify further:

S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx

Thus,

We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.

We can evaluate the integral using numerical methods or a calculator to find the final answer.

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The solutions of the system of inequalities are:

(0, 3)

(6, 2)

Here we have the graph of a system of inequalities, the solutions are all the points on the area where the two shaded regions intercept (it would be on the purple area).

And we can see that one line is solid, the points on that line are solutions, the other line is dashed, the points on that line are not solutions.

Then the points that are solutions are:

(0, 3)

(6, 2)

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Answer:

D

Step-by-step explanation:

The perimeter is 54.6.

a   +  3a      + b = 54.6.   since a = 8.7,

8.7 + 3(8.7) + b = 54.6

8.7 + 26.1 + b = 54.6

34.8 + b = 54.6

b = 54.6 - 34.8

b = 19.8

They pretty much have the exact same examples in the instruction videos with different numbers; it helps to watch the videos again.

Answer:

f(x) = 4x
for graph see attachment

Step-by-step explanation:

when the buyer gets 4 points for each movie purchased, the equation for the graph is f(x) = 4x

x being the movies, 4 being the amount of points per movie granted.

Answer:

B

Step-by-step explanation:

14p and 3p have the same variable

Answer:

The figure will change by a factor of 2.25.

Step-by-step explanation:

When the lengths (1-dimensional) change by a factor 1.5 (the definition of dilating a figure), the area (2-dimensional) will change by a factor 1.5 to the power of the quotient of the values of the dimensions, which is 2/1 = 2. So the area will change by a factor of 1.5^2 = 2.25.

Answer:

The y -intercept of a graph is the point where the graph crosses the y -axis. (Because a function must pass the vertical line test , a function can have at most one y -intercept . ) The y -intercept is often referred to with just the y -value.

Step-by-step explanation:

Y - intercept represents the position of a point on y-axis or when a line passes through y-axis, it, actually, passes through a point on y-axis. And that point is called the y intercept. It is usually represented by and as a point, it is represented as.

It's called the "y intercept" and it's the y value of the point where the line intersects the y- axis. For this line, the y-intercept is "negative 1." You can find the y-intercept by looking at the graph and seeing which point crosses the y axis. This point will always have an x coordinate of zero.

Hoped this helped! :D

is there a pic to it? put the pic then i can answer

Answer:

You forgt to add picture

Step-by-step explanation:

Answer:

a. 11 b. 16 c. what is a number that when you multiply it by 6 and subtract 3 from the product, you get 69. A: 12

Step-by-step explanation:

Answer:

i didn't understand question no 3 so..

Answer:

D) 48

Step-by-step explanation:

area = length x width x height

8 x 2 x 3

16 x 3 = 48

Answer:

16/40 = 40%

Step-by-step explanation:

I divided 16/40 and got 0.4,

To turn a decimal into a percentage, either multiply by 100 or move the decimal to the right 2 times.

Answer:

\(\frac{31}{50}-\frac{4i}{25}\)

Step-by-step explanation:

The computation shows that the examples of values that will give the exact value of 45 will be:

It should be noted the information is incomplete as the options aren't given and not properly written.

In this case, the examples will be given:

An example of value that will give 45 will be:

= ✓25 × ✓81

= 5 × 9

= 45

The other examples will be 6 × 9 which will give 45 and ✓9 × 15 which will be 45.

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Answer: B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Test!

Answer:

simple interest: I = P × r × t

I = 4500 × 9.5% × 6 = 2565

The amount paid as interest is $2565.

Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

It is given that the borrowed amount is $4500 at 9.5% for 6 years. The simple interest is calculated as:-

SI = ( P x R x T ) / 100

SI = ( 4500 x 9.5 x 6 ) /100

SI = $2565

Hence, the simple interest is $2565.

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The dimensions of the rectangular garden to maximize the area is length = width = 75 meters.

Let l be the length and w be the width of the rectangular garden.

We need to find the dimensions of the rectangular garden of greatest area that can be fenced off (all four sides) with 300 meters of fencing.

The perimeter of the  rectangular garden = 300 meters

We know that the perimeter of the rectangle =2(length + width)

300 = 2(l + w)

l + w = 150               .......(1)

Now, the maximum area of a  rectangular garden is when Length  = width

So, for equation 1

l + l = 150

l = 75 meters

So, w = 75 meters

And the area of the rectangular garden = length * width

                                                               = 75 * 75

                                                               = 5625 m²

So the maximum area of the  rectangular garden is 5625 m²

Therefore, the dimensions of the garden to maximize the area is length = width = 75 meters and maximum area is  5625 m²

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Answer:

18% of 500 = 90 (multiply 0.18 x 500)

32% of 25 = 8 (divide 8 / 0.32)

Step-by-step explanation:

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(lol optional): add my sc: tealyn337

domain of (f.g)(x) is {x l x ≠ 13} i.e option (c) where f(x) = x+7 and g(x) = 1/(x-13)

Domain of a function is defined as all those values of x that can be substituted in function for which function is defined.

Given: f(x) = x+7

g(x) = 1/(x-13)

First we need to find (f.g)(x) i.e multiplication of  f(x) and g(x)

(f.g)(x) = (x+7) ×1/(x-13) = \(\frac{x+7}{x-13}\)

Domain of function is values of x over which function is defined

For (f.g)(x) it is defined at all values of x except when x-13=0 as at this point denominator will be zero and function will become infinite that is not defined.

So,  x - 13 ≠ 0

Adding 13 on both sides, we get

x ≠ 13

So domain of  (f.g)(x) is x∈R - {13} i.e {x | x≠ 13}

Hence, option (c) is correct answer.

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