plz help will give brainliest​

It has a 0.6-mile-per-minute speed limit.

Distance is defined as the product of speed and time.

Given that the distance traveled in 3 seconds is 3/100 miles.

To determine the distance it can travel in 1 minute.

We must first determine the distance traveled in 1 second in order to get the distance traveled in 1 minute.

It can cover 3/100 miles in 3 seconds.

So, in 1 second it can travel = 3/(100)(3) = 1/100 miles.

Now, We know that there are 60 seconds in a minute.

Thus, it can travel in a minute.

⇒ (1/100) × 60

⇒ 60/100

⇒ 6/10

⇒ 0.6 mile

Hence, It has a 0.6 mile per minute speed limit.

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well, from 1990 to 1998 is 8 years, and we know the amount went from $4800 to $6300, let's check for the rate of growth.

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$6300\\ P=\textit{initial amount}\dotfill &\$4800\\ r=rate\to r\%\to \frac{r}{100}\\ t=\textit{years}\dotfill &8\\ \end{cases} \\\\\\ 6300=4800(1 + \frac{r}{100})^{8} \implies \cfrac{6300}{4800}=(1 + \frac{r}{100})^8\implies \cfrac{21}{16}=(1 + \frac{r}{100})^8\)

\(\sqrt[8]{\cfrac{21}{16}}=1 + \cfrac{r}{100}\implies \sqrt[8]{\cfrac{21}{16}}=\cfrac{100+r}{100} \\\\\\ 100\sqrt[8]{\cfrac{21}{16}}=100+r\implies 100\sqrt[8]{\cfrac{21}{16}}-100=r\implies \stackrel{\%}{3.46}\approx r\)

now, with an initial amount of $4800, up to 2007, namely 17 years later, how much will that be with a 3.46% rate?

\(\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &4800\\ r=rate\to 3.46\%\to \frac{3.46}{100}\dotfill &0.0346\\ t=years\dotfill &17\\ \end{cases} \\\\\\ A=4800(1 + 0.0346)^{17} \implies A=4800(1.0346)^{17}\implies A \approx 8558.02\)

Answer:

S=2t

or

T=1/2 S

Answer:

A

Step-by-step explanation:

8-3=5

9/10 -4/10 =5/10

since 5/10 can be simplified to 1/2, it is A

Answer:

14

Step-by-step explanation:

When there are 2 -, they both create a +. the brackets are removed and you get 4--10, which is equal to 4+10 which = 14

Answer:

m = -1/2 b = 4, equation = y = -1/2x + 4, Proportional, Negative slope

Step-by-step explanation:

To find m, see what slope is:

Is negative

for every one to right, goes down 1/2

so -1/2

Intercepts at 4, so b = 4

Answer: (a+b)2=9. a2+2ab+b2=9

Step-by-step explanation:

Answer:

1/4

Step-by-step explanation:

5/20

divide the top and bottom by 5

1/4

We could also multiply by the same number on top and bottom

5/20 *2/2 = 10/40

or

5/20 *3/3 = 15/60

Answer:

Step-by-step explanation:

lower left triangle:  5^2 + x^2 = 13^2

x^2 = 144 => x = 12

So, area of triangle is : (5 * (12-4))*0.5 => 20

Shaded area: (8 *12) -20 => 96 -20

=76 unit^2

Answer:

Area: 98 in^2

Step-by-step explanation:

8-3=5

Triangle: a^2 + b^2 = c^2

a^2 + 5^2 = 13^2

a^2 = 169-25

a = sqrt 144

a = 12

Area: 16in * 8in = 128 in^2

Area rectangle - triangle

Area triangle: (bh)/2

(12*5)/2 = 30 in^2

128 - 30 = 98 in2

Answer:

First of all, what are the options in the drop down menu?

The growth factor of f(x) is 1.1/0.7 = 1.6 times of g(x).

Suppose we have a function f(x).

f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).

f(x ± c) = Horizontal left/right shift by c units (x - + c, y).

(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).

f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).

f(-x) = Reflection over y axis, (-x, y).

-f(x) = Reflection over x-axis, (x, -y).

f(x) and g(x) are both exponentially growing functions.

For f(x), when x = 0, f(x) = 2 and when x = 1, f(x) = 3.

let f(x) = \(e^{kx}\).

3 = \(e^k\).

k = ln(3).

k = 1.1

For g(x), x = 0, g(x) = 1, x = 1, g(x) = 2.

Now g(x) = \(e^{kx}\).

2 = \(e^k\).

k = ln(2).

k = 0.7.

So, the growth factor of f(x) is 1.1/0.7 = 1.6 times of g(x).

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Answer:

To find slope intercept, you must use the substitute term for slope, m, and then use the following equation. ↓

\((y = mx+b)\)

Next, you want to use these terms to help you solve for b. ↓

\(Slope = m\\Points = x, y\\y-intercept = b\)

Answer:

y=mx+b

Step-by-step explanation:

The slope intercept form is y=mx+b

M = slope

B = y-intecept

and when you substitue the numbers for the variables then you have it in slope-intercept formula

I hope it helps! Have a great day!

JellyBeanie~

The solution to the given differential equation is:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]\)

To solve the given differential equation

\(x^3y'''\ -\ 6y\ =\ 0,\)

we can use the method of power series. Let's assume a power series solution of the form

\(y(x)\ =\ \sum_{n=0}^{\infty} a_nx^n.\)

Differentiating y(x) with respect to x gives:

\(\[y'(x)\ =\ \sum_{n=0}^{\infty} n a_n x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+1) a_{n+1} x^n\]\)

Differentiating again gives:

\(\[y''(x)\ =\ \sum_{n=0}^{\infty} (n+1)na_{n+1}x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+2)(n+1)a_{n+2}x^n\]\)

Differentiating one more time gives:

\(\[y'''(x)\ =\ \sum_{n=0}^{\infty} (n+2)(n+1)na_{n+2}x^{n-1}\ =\ \sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^n\]\)

Substituting these expressions into the differential equation, we have:

\(\[x^3 \sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^n - 6 \sum_{n=0}^{\infty} a_n x^n\ =\ 0\]\)

Rearranging the terms and combining like powers of x, we get:

\(\[\sum_{n=0}^{\infty} (n+3)(n+2)(n+1)a_{n+3}x^{n+3} - 6 \sum_{n=0}^{\infty} a_n x^n\ =\ 0\]\)

Now, let's equate the coefficients of like powers of x to zero:

For n=0:

\(\[(3)(2)(1)a_3 - 6a_0 = 0 \implies 6a_3 - 6a_0 = 0 \implies a_3 = a_0\]\)

For n=1:

\(\[(4)(3)(2)a_4 - 6a_1 = 0 \implies 24a_4 - 6a_1 = 0 \implies a_4 = \frac{1}{4}a_1\]\)

\(For \: n\geq 2:

\[(n+3)(n+2)(n+1)a_{n+3} - 6a_n = 0 \implies a_{n+3} = \frac{6a_n}{(n+3)(n+2)(n+1)}\]

\)

Now we can write the solution as:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{6a_{n-2}}{n(n-1)(n-2)}x^{n+3}\]

\)

Simplifying the series, we get:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_

1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]

\)

Therefore, the solution to the given differential equation is:

\(\[y(x)\ =\ a_0 + a_1x + \frac{1}{4}a_1x^4 + \sum_{n=2}^{\infty} \frac{2a_{n-2}}{(n-2)(n-1)}x^{n+3}\]\)

where a₀ and a₁ are arbitrary constants to be determined based on the initial conditions or boundary conditions given in the problem.

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Answer:

12 -9

Step-by-step explanation:

Look to the ends of each arrow and you will see each number the arrow is on. Hope this helps.

Answer:

\(y=-x+3\)

Step-by-step explanation:

Let's start by defining what slope-intercept form is. Slope-intercept form is:

y=mx+b

Where...

"y" = y-coordinate of any point on the line

"m" = slope of the line

"x" = x-coordinate of any point on the line

"b" = y-intercept (where the line intercepts the y-axis)

Let's start by finding the y-intercept. As stated above, the y-intercept is where the line intercepts the y-axis. Looking at the graph, we can tell that in this case, it is (0, 3).

Note that the y-intercept (b) is represented by ONLY the y-value, which in this case is 3.

Now, let's find the slope. Start by taking ANY two points on the line. Let's use (0, 3) and (1, 2).

The formula for slope is:

\(m=\frac{y_2-y_1}{x_2-x_1}\)

\(y_1, y_2:$ Values for the two y-coordinates\\x_1, x_2:$ Values for the two x-coordinates\)

Substitute the given points into the equation:

\(m=\frac{2-3}{1-0}=\frac{-1}{1}=-1\)

The slope is -1.

Finally, we substitute our slope and y-intercept back into the equation and get:

\(y=-x+3\)

Answer:16

Step-by-step explanation:

Answer:

Blank 1: 28

Blank 2: 42

Blank 3: 22

Answer: It will take 7 sessions.

Step-by-step explanation:

We already know the 3 blanks from the equation 28x = 42 + 22x

Now to find the answer.

28x = 42 + 22x

Subtract 22x from both sides. This cancels the +22x.

28x - 22x = 42

Subtract 22x from 28x to get 6x

6x = 42

Divide both sides by 6. This undoes the multiplication by 6.

x = 42/6

Divide 42 by 6 to get 7.

x = 7

It will take 7 sessions for the costs to match.

Answer:

[28], [42], [22], the meet at 154 sessions

Step-by-step explanation:

Answer:

315,000

Step-by-step explanation:

(50,000+20,000)+(35,000+20,000)+(40,000+20,000)=185,000

500,000-185,000=315,000

Answer:52

Step-by-step explanation:

y

Answer:

let the ratio of zinc be x

6x

mass of the zinc=90kg

6x=90

x=15

for other metals

copper=13x=13*15=195kg

lead=x=15kg

mass of whole metal=195+90+15=300kgStep-by-step explanation:

The magnitude of a is

The magnitude of b is

The scalar product of a. b is

Answer:

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

a,p,e,x

The flux of F across S is -1/6.

To evaluate the surface integral of F over S, we first need to parameterize the surface S. In this case, S is part of the paraboloid z = 4 - x² - y² that lies above the square 0 ≤ x ≤ 1, 0 ≤ y ≤ 1 and has an upward orientation. We can parameterize S using two variables u and v as follows:

r(u,v) = (u, v, 4 - u² - v²)

where 0 ≤ u ≤ 1 and 0 ≤ v ≤ 1.

Next, we need to find the normal vector to the surface S. Since the surface has an upward orientation, the normal vector should also point upward. We can find the normal vector by taking the cross product of the partial derivatives of r with respect to u and v:

n(u,v) = ∂r/∂u x ∂r/∂v

= (-2u, -2v, 1)

The flux of F across S is then given by the surface integral:

∬ S F dS = ∫∫ F(r(u,v)) · n(u,v) dS

where dS is the surface area element given by dS = ||∂r/∂u x ∂r/∂v|| du dv.

Substituting the given vector field F and the parameterization r(u,v), we have:

∬ S F dS = ∫∫ (xy i + yz j + zx k) · (-2u, -2v, 1) ||∂r/∂u x ∂r/∂v|| du dv

= ∫∫ (-2uxy - 2vyz + 2zx) ||∂r/∂u x ∂r/∂v|| du dv

= ∫∫ (-2u²v - 2v³ + 8uv) du dv

We can evaluate this integral using the limits of integration for u and v, which are both from 0 to 1:

∬ S F dS = ∫∫ (-2u²v - 2v³ + 8uv) du dv

= ∫ ∫ (-2u²v - 2v³ + 8uv) du dv

= [-1/3 + 1/2 - 2/3] = -1/6

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Answer:0.48

Step-by-step equation:

Answer:

its C. (3,7)

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

5 - 17 = -12

1 + 3 = 4

-12 x 4 = -48

2 x 6 = 12

-48 ÷ 12 = -4

The solution of expression is,

⇒ - 107

We have to given that,

An expression to simplify,

1 + 3 (5 - 17) ÷ 2 · 6

Now, Apply the BODMAS rule and simplify the expression as,

⇒ 1 + 3 (5 - 17) ÷ 2 · 6

⇒ 1 + 3 · - 12 ÷ 2 · 6

⇒ 1 + 3 · - 6 · 6

⇒ 1 - 108

⇒ - 107

Therefore, The solution is,

⇒ - 107

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Answer:

400 J

Step-by-step explanation:

Answer:

400 J

Step-by-step explanation:

It's also worth noting that there may be other factors that impact sales that are not included in the regression equation. For example, changes in consumer preferences, economic conditions, or competition from other businesses could all have an impact on sales that is not captured by the variables included in the equation.

So while a regression equation can be a useful tool for predicting sales, it's important to keep in mind that it's not a perfect predictor and should be used in conjunction with other information and analysis. To estimate a regression equation for sales as a function of population, advertising in the current year, and advertising in the previous year, you would need to gather data on sales, population, and advertising expenditures for both the current and previous years. Once you have this data, you can use regression analysis to determine how much of the variation in sales can be explained by population and advertising. As for whether or not predictions of sales in future years would be very accurate based on this regression equation, it really depends on how well the equation fits the data.

If the equation has a high R-squared value (meaning that a large percentage of the variation in sales can be explained by the independent variables), then predictions based on the equation are likely to be more accurate. However, if the equation has a low R-squared value, then predictions based on the equation may not be very accurate.

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To find the roots of a third-degree polynomial, also known as a cubic polynomial, we can use a method called factoring or apply the cubic formula.

The first step is to check if there are any common factors that can be factored out. Next, we can use the rational root theorem to determine potential rational roots. By applying synthetic division or long division, we can divide the polynomial by the potential roots to see if they are indeed roots.

If a rational root is found, we can then use synthetic division to factor out the corresponding quadratic equation. Finally, we can solve the quadratic equation using methods like factoring, completing the square, or using the quadratic formula to find the remaining roots.

It's important to note that not all cubic polynomials can be easily factored or solved algebraically. In such cases, numerical methods or approximation techniques may be used to find the roots.

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To find the roots of a third degree polynomial, you can follow these steps: 1) Check for rational roots using the Rational Root Theorem. 2) Use synthetic division to divide the polynomial by a linear factor. 3) Factor the resulting quadratic equation. 4) Solve for the roots by setting each factor equal to zero.

To find the roots of a third degree polynomial, we can follow these steps:

Remember, the Fundamental Theorem of Algebra states that every polynomial equation of degree n has exactly n complex roots, counting multiplicities.

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The total amount earned when he waits 18 tables is $143

The total amount earned when he waits t tables is $35 + $6t

The equation that can be used to determine the total amount Carson earns is a linear equation. A linear equation is an equation that when drawn on a graph yields a straight line.

A linear equation increases by a constant amount. The highest power of a variable in a linear equation is 1.

The form of a linear equation is y = a + bx

Where:

Total amount earned = guaranteed wage + (tip per table x total number of tables he waits)

Total amount earned when he waits 18 tables: $35 + ($6 x 18)

$35 + $108 = $143

Total amount earned when he waits t tables: $35 + ($6 x t)

$35 + $6t

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