2\3 of 5 maybe use a tape diagram

The first value of the given exponential expression would be 3.

What is an exponential function?

An exponential function is a mathematical function of the form f(x) = aˣ, where "a" is a positive constant and x is a real number. The function represents an exponential growth or decay, depending on the value of "a". If "a" is greater than 1, the function increases rapidly as x increases. If "a" is between 0 and 1, the function decreases as x increases.

In the exponential expression y = 3 * q⁵, the first value is 3.

Hence, the first value of the given exponential expression would be 3.

To learn more about the exponential function, visit:

https://brainly.com/question/2456547

#SPJ1

Answer:

2. 90+240= 330 m cubed

3. (24*2)+96= 144 cm cubed

Therefore, the final solution is given by: u(x,t) = ∑[n=1 to ∞] sin(nπx/10) e^(-n²π²t/100) This represents an infinite series of sine functions that decay exponentially with time.

To solve the given partial differential equation:

∂²u/∂x² = ∂u/∂t

with the boundary conditions:

u(0,t) = u(10,t) = 0

and the initial condition:

u(x,0) = x

we can use the method of separation of variables.

Step 1: Assume a solution of the form u(x,t) = X(x)T(t), where X(x) represents the spatial part and T(t) represents the temporal part of the solution.

Step 2: Substitute the assumed solution into the partial differential equation to obtain:

X''(x)T(t) = X(x)T'(t)

Step 3: Divide both sides of the equation by X(x)T(t) to separate the variables:

X''(x)/X(x) = T'(t)/T(t)

Step 4: The left-hand side of the equation is solely dependent on x, while the right-hand side is solely dependent on t. Since they are equal to a constant, say -λ², we have two ordinary differential equations:

X''(x) + λ²X(x) = 0 (1)
T'(t)/T(t) = -λ² (2)

Step 5: Solve equation (1) to obtain the spatial part of the solution. The general solution to this equation is given by:

X(x) = A cos(λx) + B sin(λx)

where A and B are constants to be determined.

Step 6: Substitute the boundary conditions u(0,t) = u(10,t) = 0 into the general solution for X(x). This will lead to the determination of the constants A and B. Using the condition u(0,t) = 0, we have:

X(0) = A cos(0) + B sin(0) = A = 0

Thus, the solution for X(x) is X(x) = B sin(λx).

Step 7: Solve equation (2) to obtain the temporal part of the solution. The general solution to this equation is given by:

T(t) = Ce^(-λ²t)

where C is a constant to be determined.

Step 8: Substitute the initial condition u(x,0) = x into the product of X(x) and T(t):

X(x)T(0) = B sin(λx)C

Since u(x,0) = x, we have:

B sin(λx)C = x

Step 9: Expand the left-hand side of the equation as a Fourier sine series:

B sin(λx)C = ∑[n=1 to ∞] Bₙ sin(nπx/10)Cₙ

where Bₙ and Cₙ are constants.

Step 10: Equate the coefficients of sin(nπx/10) on both sides of the equation:

BₙCₙ = 0, for n ≠ 1
B₁C₁ = 1

Step 11: Therefore, the final solution is given by:

u(x,t) = ∑[n=1 to ∞] sin(nπx/10) e^(-n²π²t/100)

This represents an infinite series of sine functions that decay exponentially with time.

that this is the general solution, and to find the specific solution, you would need to determine the coefficients Bₙ and Cₙ based on the given initial condition and the properties of the Fourier sine series.

Know more about Fourier sine series here:

https://brainly.com/question/33181075

#SPJ11

A number that represents the property of the sample is the statistics.

Statistics refer to that number that describes a particular property of a sample set of numbers. It is the common property shared by all the numbers of the sample set. It involves the collection of data and information and then categorizing them according to their properties and inferences.

'Mean and proportion' is mathematical calculations that can be carried out on statistic number sets.

Mean refers to the average of the number set that is provided to us. It is calculated by adding the numbers and dividing them by the number of terms.

Proportion refers to the fraction of the number set according to some characteristics shared by the numbers.

To know more about mean and proportion,

https://brainly.com/question/24232216

#SPJ4

Answer:

The exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Step-by-step explanation:

Given that a point on the terminal side is of an angle is (x,y) and we are given (-3, -7). So x = -3 and y = -7. The length of its terminal side is given by r = √(x² + y²) = √((-3)² + (-7)²) = √(9 + 49) = √58

We know that sinθ = y/r.

So, sinθ = y/r = -7/√58

We know that secθ = 1/cosθ = 1/x/r = r/x

So, secθ = r/x = √58/-3 = -√58/3

We know that tanθ = y/x.

So, tanθ = y/x = -7/-3 = 7/3

So, the exact values of sinθ = -7/√58.

The exact value of  secθ = -√58/3 and

The exact value of tanθ = 7/3

Answer:

i think its 5+

Step-by-step explanation:

The degree of the variable that appears in the polynomial has the most power. The leading term is the one with the highest degree or the one with the highest power of the variable. The coefficient of the leading term is the leading coefficient.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

For instance, the polynomial 2x+5 has an exponent of 1.

A polynomial is not an expression with a variable that has fractional or negative exponents, divides by a variable, or is contained inside a radical.

The biggest power of the variable that occurs in the polynomial is its degree.

The term with the highest degree—i.e., the term with the largest power of the variable—is the leading term.

The leading coefficient is the leading term's coefficient.

Therefore, the degree of the variable that appears in the polynomial has the most power. The leading term is the one with the highest degree or the one with the highest power of the variable. The coefficient of the leading term is the leading coefficient.

Know more about a polynomial function here:

https://brainly.com/question/2833285

#SPJ4

Answer:

1st of all- (OFF TOPIC) you are on canvas lol

2nd- not sure, maybe B or C. Sorry if it is wrong, and I hope I could help.

Answer: 2x+58

Step-by-step explanation:Combine Like Terms:

=5x+−3x+58

=(5x+−3x)+(58)

=2x+58  

Answer:

if the first equation 3x - 3y = -2 is multiplication by 3

therefore, 3x - 3y = -2

multiplied by 3

:9x - 9y = -6

then the equations are added,

9x - 9y = -2 + 10x + 710x + 118x + 7

9x + 10x + 710x + 118x + 9y + 7

947x + 9y = 7

According to the image the figures that show nets of cubes are: A and D.

To identify the nets of the cubes we must take into account that each square represents one side of the cube. In this case, the minimum requirement is that it have 6 squares, that is, 6 sides.

Once we have identified the number of sides, we must imagine how to fold the nets to form cubes. In some of them the sides overlap so we can infer that the correct nets are: A and D.

Learn more about cube nets in: https://brainly.com/question/15499998

#SPJ1

Answer:

3(x - 3y) + 6y - 8x

Perform the distributive property;

3x - 9y + 6y - 8x ← Expanded form

Group like terms:

(3x - 8x) (-9y + 6y)

-5x - 3y ← Simplified form

Answer:

I believe it is -5x - 3y

Answer:

carrect answer is : multiply 40x20

Answer:

D. Multiply 40 x 8

Step-by-step explanation:

Answer:

The end point of a ray is A

Step-by-step explanation:

Hope this Helps

Given,

ΔABC and ΔDEF are similar triangles.

AB = 6 feet, BC = 4 feet, AC = 7 feet

Let the shortest side of ΔDEF be  EF = 12 feet.

Let DE = x and DF = y

Since,  ΔABC and ΔDEF are similar,

\(\frac{BC}{EF}\)  = \(\frac{AB}{DE} = \frac{AC}{DF}\)

⇒ \(\frac{4}{12} = \frac{6}{x} =\frac{5}{y}\)

On Solving,

x = 18 feet and y = 15 feet

We know,

Perimeter of a triangle = sum of all three sides

Hence, perimeter of ΔDEF = DE + EF + DF = 18 + 15 + 12 = 45 feet.

To learn more, click https://brainly.com/question/24299023

#SPJ4

Answer:

First question (on left) f(x) = 5x-3. second question (on right) f)x) = 1/2*x

Step-by-step explanation:

rise(left) 4. run (left) 20.

rise(right) 8. run(right) 4.

The unit tangent vector at \(\( t = \frac{\pi}{2} \) is \( T(\frac{\pi}{2}) = \frac{2\sqrt{3}}{3}\mathbf{i} + \frac{1}{3}\mathbf{j} + \frac{2\sqrt{3}}{3}\mathbf{k} \)\).

To find the unit tangent vector \(\( T(\frac{\pi}{2}) \) for the given vector function \( \mathbf{r}(t) \), where \( \mathbf{r}(t) = e^{12t}\cos(t)\mathbf{i} + e^{12t}\sin(t)\mathbf{j} + e^{12t}\mathbf{k} \), we need to evaluate \( \mathbf{r}'(\frac{\pi}{2}) \)\) and its magnitude.

First, we find the derivative of \(\( \mathbf{r}(t) \) with respect to \( t \):\( \mathbf{r}'(t) = (12e^{12t}\cos(t) - e^{12t}\sin(t))\mathbf{i} + (12e^{12t}\sin(t) + e^{12t}\cos(t))\mathbf{j} + 12e^{12t}\mathbf{k} \).Next, we evaluate \( \mathbf{r}'(\frac{\pi}{2}) \):\( \mathbf{r}'(\frac{\pi}{2}) = (12e^6 + 0)\mathbf{i} + (0 + e^6)\mathbf{j} + 12e^6\mathbf{k} \)\).

To find the magnitude of \(\( \mathbf{r}'(\frac{\pi}{2}) \), we calculate:\( |\mathbf{r}'(\frac{\pi}{2})| = \sqrt{(12e^6)^2 + (e^6)^2 + (12e^6)^2} = \sqrt{1458e^{12}} = 6\sqrt{27e^8} \)\).

Finally, we can find the unit tangent vector at \(\( t = \frac{\pi}{2} \)\) using the formula:

\(\( T(\frac{\pi}{2}) = \frac{\mathbf{r}'(\frac{\pi}{2})}{|\mathbf{r}'(\frac{\pi}{2})|} = \frac{(12e^6 + 0)\mathbf{i} + (0 + e^6)\mathbf{j} + 12e^6\mathbf{k}}{6\sqrt{27e^8}} \).Simplifying the expression, we have:\( T(\frac{\pi}{2}) = \frac{2\sqrt{3}}{3}\mathbf{i} + \frac{1}{3}\mathbf{j} + \frac{2\sqrt{3}}{3}\mathbf{k} \)\).

Learn more about unit tangent vector

https://brainly.com/question/31584616

#SPJ11

There were 54 adults who attended the basketball game between Chester High School and Pearson High School.

To find the number of adults who attended the game, we need to subtract the number of students from the total number of spectators. The total number of spectators at the game was 240. Among them, 9th graders accounted for 60, 10th graders accounted for 50, 11th graders accounted for 36, and 12th graders accounted for 40.

To find the number of adults, we subtract the sum of student attendees from the total number of spectators: 240 - (60 + 50 + 36 + 40) = 240 - 186 = 54.

Therefore, there were 54 adults who attended the basketball game between Chester High School and Pearson High School.

Learn more about Subtraction here:  brainly.com/question/13619104

#SPJ11

Answer:

7

Step-by-step explanation:

m=pendiente

por lo tanto:

pendiente=7

Hii!

__________________________________________________________

Answer:

Slope = 7! ^^

Step-by-step explanation:

Note that the equation is given to us in slope intercept form.

The slope intercept formula is y=mx+c.

m denotes the slope

c denotes the y intercept.

/--------------\

The slope of the line that we are working with is 7.

Remember how I said that the slope of the line y=mx+c is m?

Similarly, the slope of the line y=7x-3 is 7! ^^

--

Hope that this helped! Best wishes.

--

(d.) Each run of the simulation only provides a sample of the actual system's operation.

This assertion is right, not mistaken. Indeed, each simulation run is a sample of the actual system's operation. A single simulation run cannot account for all possible outcomes and variations in the real system because simulations are based on mathematical models and involve random variations.

In order to take into consideration various scenarios and variations, multiple simulation runs are typically carried out. By running numerous reenactments, specialists can assemble a scope of results and measurable data to acquire a superior comprehension of the framework's way of behaving and go with informed choices.

The analysis and confidence in the simulation study's conclusions increase with the number of simulation runs performed.

To know more about real system  refer to

https://brainly.com/question/30728412

#SPJ11

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To calculate the amount of fencing needed for Mrs. Hough's raised garden, we first need to determine the dimensions of the garden.

Since the garden is next to a 13.5 ft fence, we know that one side of the garden is 13.5 ft.

Let's assume the other two sides of the garden have lengths x and y.

The area of the garden is given as 121.5 sq ft, so we have the equation:

x × y = 121.5

To find the dimensions of the garden, we can solve this equation. One possible solution is x = 9 ft and y = 13.5 ft.

Therefore, the dimensions of the garden are 9 ft by 13.5 ft.

Now, to calculate the amount of fencing needed, we add up the lengths of the three sides (excluding the side next to the fence):

Fencing needed = x + y + x = 9 ft + 13.5 ft + 9 ft = 31.5 ft

Mrs. Hough would need 31.5 feet of fencing for the other three sides of the garden.

To know more about Equation related question visit:

https://brainly.com/question/29657983

#SPJ11

Answer:

9√5 or ≈ 20.12

Step-by-step explanation:

Using the Pythagorean Theorem, which states that c² = a² + b², you can plug in values where x is c or the hypotenuse.

x² = 18² + 9²

x² = 324 + 81

x² = 405

Then, square root to find x.

x = √81 * 5

Take out the 9

x = 9√5 (≈ 20.12)

Hope this helps! :)

Step-by-step explanation:

\( \sin(20) = 3 \div x\)

Multiply both sides with x :

\( x \times \sin(20) = 3\)

And divide both sides with sin(20) :

\(x = 3 \div \sin(20) = 8.771\)

Which gives us x=8,771

Answer:

AB = 6

Step-by-step explanation:

sin 20° = 3/?

\(\frac{1}{2}\) = \(\frac{3}{x}\)

cross-multiply: x = 6

Answer:

y=5x+42

subtract 5x from both sides

-5x+y=42

Step-by-step explanation:

subtract 5x from both sides

-5x+y=42

multiply by -1

5x-y=-42

In standard form, Ax+By=C, the variable A cannot be a negative. However, this is not an option so go with c.

Answer:

b-13

Step-by-step explanation:

I'm pretty sure this is right? Unless I'm missing something, if I am I am terribly sorry.

Solution:

Note that:

Let's reread the clue carefully.

{Latoya baked b cookies}, {her family ate 13 of them.}

                   ↥                                           ↥

                   b                                         -13

If we put them together, the expression formed is b - 13.

The expression that represents the number of cookies is b - 13.

The correct answer is, the most powerful test is the test least likely to result in a Type II error.

What is probability?

The area of mathematics known as probability deals with numerical descriptions of how likely it is for an event to happen or for a claim to be true. A number between 0 and 1 is the probability of an event, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes its certainty.

In terms of hypothesis testing, the power of a test is given by the probability of rejecting a null hypothesis when it is actually false.

Also, we know that we commit a type II error when we don't reject the null hypothesis when it is actually false.

So, combining these two facts, we can infer that the most powerful test is the test where we have a high probability of rejecting a null hypothesis when it is actually false. This means that the most powerful test is given by the test that will have almost no or absolutely no type II error.

Hence, the most powerful test is the test least likely to result in a Type II error.

To know more about probability, click on the link

https://brainly.com/question/24756209

#SPJ4

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following function:

The domain is the input values of the function, in this case, it would be the interval of values that x can take, while the range is the output values of the function, that is, in this case, it would be the interval of values that it can take y.

In the case of a reciprocal function, the domain is affected since the denominator can never be 0 since it generates a mathematical indeterminacy, therefore, we calculate the domain by setting the denominator equal to 0, just like this:

The range is affected by the fact that it can never be the value of 7, because the previous expression has no way of making it equal to 0, therefore the range would be:

Answer:

B is an arithmetic sequence because the number that you add or subtract between each number has to match

Answer: C

Step-by-step explanation: C

2 divided into 9 parts is 2/9.

Let's' explain this visually

Take this pizza, (image below)

Let's say we have two pizzas for 8 friends (including ourselves), so naturally, we'll cut the pizza's each into 9 slices, 1 for each, now everyone gets 1/9 of a pizza, but there are two pizzas, so if we add 1/9+1/9, we'll get two ninths.

Now 2/9=0.2 repeating!

This is how I got my answer sorry for the vague  explanation