Can anyone help me with the geometry translations

Answer:

slope is \(\frac{4}{7}\)

Step-by-step explanation:

The average temperature on Saturday was 62.6 °F, then the actual temperature will be equal to 17 °C.

The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.

Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.

As per the given information in the question,

The temperature on Saturday was 62.6 F

Then, the actual temperature will be,

C = 5/9(F -32)

C = 5/9(62.6 - 32)

C = 5/9(30.6)

= 17 °C

To know more about arithmetic operations:

https://brainly.com/question/25277954

#SPJ1

Answer:

-1

Step-by-step explanation:

-7/10+7/15+1/-20+-9/10+11/15+11/-20

= -7/10 + -9/10 + 7/15 + 11/15 + 1/-20 + 11/-20

= -16/10 + 18/15 + 12/-20

= -8/5 + 6/5 + -3/5

= (-8+6-3)/5

= -5/5

= -1

Answer: 1/3

Step-by-step explanation:

4 + 8 = 12 so there's 12 marble in the bag and only 4 purple ones. so the probability is 4/12 which we can simplify to 1/3

Answer:

3^2+2^2-5×2-6

9+4-10-6

-3

Step-by-step explanation:

-3 is the answer

Answer:

It could be solved by filling in "x" as 2.

Step-by-step explanation:

F(x) = 2^3 + x^2 - 5(2) - 6

f(x) = 8 + 4 -10 - 6

f(x) = 12 -16

= -4

Hope this is easy enough to understand.

The number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

We can solve this inequality by introducing an auxiliary variable x4, such that x1 + x2 + x3 + x4 = 11. Here, x1, x2, x3, and x4 are all nonnegative integers.

We can interpret this equation as follows: imagine we have 11 identical objects and we want to distribute them among four boxes (x1, x2, x3, and x4). Each box can contain any number of objects, including zero. The number of solutions to this equation will give us the number of nonnegative integer solutions to the original inequality.

We can use a technique known as stars and bars to count the number of solutions to this equation. Imagine we represent the 11 objects as stars: ***********.

We can then place three bars to divide the stars into four groups, each group representing one of the variables x1, x2, x3, and x4. For example, if we place the first bar after the first star, the second bar after the third star, and the third bar after the fifth star, we get the following arrangement:

| ** | * | ****

This arrangement corresponds to the solution x1=1, x2=2, x3=1, and x4=7. Notice that the number of stars to the left of the first bar gives the value of x1, the number of stars between the first and second bars gives the value of x2, and so on.

We can place the bars in any order, so we need to count the number of ways to arrange three bars among 14 positions (11 stars and 3 bars). This is equivalent to choosing 3 positions out of 14 to place the bars, which can be done in C(14,3) ways.

Therefore, the number of nonnegative integer solutions to the inequality x1 + x2 + x3 ≤ 11 is C(14,3) = 364.

Click the below link, to learn more about  solutions of the inequality :

https://brainly.com/question/22010462

#SPJ11

Answer:

$0.79

Explanation:

1.58/2= 0.79

Answer:

$4.45

Step-by-step explanation:

Unit Price tells you the cost per plastic flower pot

so $8.90/2 is $4.45

Please mark as brainliest ;)

The desired fuel efficiency of a car two years from now would ideally be improved compared to the current fuel efficiency.

There are several reasons why we would want the fuel efficiency of a car to be better in the future:

Environmental Concerns: Improving fuel efficiency helps reduce carbon emissions and minimize the environmental impact of vehicles. As the world becomes more conscious of climate change and the need to reduce greenhouse gas emissions, enhancing fuel efficiency plays a vital role in mitigating environmental damage.

Energy Conservation: Better fuel efficiency means using less fuel to travel the same distance. With finite energy resources and the need to conserve them, improving fuel efficiency helps reduce the overall energy consumption in transportation, leading to better resource management.

Cost Savings: Increasing fuel efficiency directly translates to lower fuel consumption and reduced expenses for car owners. With rising fuel prices, having a more fuel-efficient car can significantly cut down on fuel costs, saving money for individuals and businesses.

Technological Advancements: As technology progresses, advancements in engine design, aerodynamics, lightweight materials, and alternative energy sources enable the development of more fuel-efficient vehicles. Striving for improved fuel efficiency encourages innovation in the automotive industry, leading to the creation of more sustainable and eco-friendly transportation options.

Government Regulations: Many governments worldwide have implemented fuel efficiency standards and regulations to reduce fuel consumption and emissions. By meeting or exceeding these standards, car manufacturers contribute to a cleaner and more sustainable transportation sector.

Ultimately, aiming for improved fuel efficiency two years from now aligns with the global push for environmental sustainability, energy conservation, cost savings, technological advancements, and adherence to regulatory standards. It benefits both individuals and society as a whole by promoting a greener and more efficient approach to transportation.

To learn more about fuel efficiency

https://brainly.com/question/27021605

#SPJ11

Answer:

282.6 cm^2

Step-by-step explanation:

typed it into a surface area calculator and I got the answer right

(b) So the equilibrium points are (0, 0), (1, 0), (0, 1), and (1, 1).

(a) To find the vertical (x-) nullcline, we set dy/dt = 0 and solve for x:

dy/dt = y(1 - y^4 - x) = 0

This equation is satisfied when y = 0 or 1 - y^4 - x = 0. So the vertical nullcline consists of two parts: y = 0 and x = 1 - y^4.

To find the horizontal (y-) nullcline, we set dx/dt = 0 and solve for y:

dx/dt = x(1 - x^3 - y) = 0

This equation is satisfied when x = 0 or 1 - x^3 - y = 0. So the horizontal nullcline consists of two parts: x = 0 and y = 1 - x^3.

(b) Equilibrium points are the points where both dx/dt and dy/dt are zero. From the previous equations, we can see that the equilibrium points occur when either x = 0 or x = 1 - y^4, and either y = 0 or y = 1 - x^3.

Substituting these values into the equations, we have four possible cases:

Case 1: x = 0 and y = 0

Case 2: x = 1 and y = 0

Case 3: x = 0 and y = 1

Case 4: x = 1 - y^4 and y = 1 - x^3

Solving these equations, we find the equilibrium points:

Case 1: (x, y) = (0, 0)

Case 2: (x, y) = (1, 0)

Case 3: (x, y) = (0, 1)

Case 4: (x, y) = (1, 1)

To know more about equations visit:

brainly.com/question/10724260

#SPJ11

In summary, the Fourier coefficients for the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5 are:

c₀ = -3 (DC component)

cₙ = 0 for n ≠ 0 (other coefficients)

To find the Fourier coefficients of the periodic function y(t) = -3 on the interval -5 ≤ t ≤ 5, we can use the formula for Fourier series coefficients:

cn = (1/T) ∫[t₀-T/2, t₀+T/2] y(t) \(e^{(-i2\pi nt/T)}\) dt

where T is the period of the function and n is an integer.

In this case, the function y(t) is constant, y(t) = -3, and the period is T = 10 (since the interval -5 ≤ t ≤ 5 spans 10 units).

To find the Fourier coefficient c₀ (corresponding to the DC component or the average value of the function), we use the formula:

c₀ = (1/T) ∫[-T/2, T/2] y(t) dt

Substituting the given values:

c₀ = (1/10) ∫[-5, 5] (-3) dt

  = (-3/10) \([t]_{-5}^{5}\)

  = (-3/10) [5 - (-5)]

  = (-3/10) [10]

  = -3

Therefore, the DC component (c₀) of the Fourier series of y(t) is -3.

For the other coefficients (cₙ where n ≠ 0), we can calculate them using the formula:

cₙ = (1/T) ∫[-T/2, T/2] y(t)\(e^{(-i2\pi nt/T) }\)dt

Since y(t) is constant, the integral becomes:

cₙ = (1/T) ∫[-T/2, T/2] (-3) \(e^{(-i2\pi nt/T)}\) dt

  = (-3/T) ∫[-T/2, T/2] \(e^{(-i2\pi nt/T)}\) dt

The integral of e^(-i2πnt/T) over the interval [-T/2, T/2] evaluates to 0 when n ≠ 0. This is because the exponential function oscillates and integrates to zero over a symmetric interval.

all the coefficients cₙ for n ≠ 0 are zero.

To know more about function visit:

brainly.com/question/30721594

#SPJ11

Answer:

Here is ur answer

Step-by-step explanation:

10(5)/-6+4

50/-2

-25

Answer:

Slope=-2  Y-Intercept= (0,5)

Step-by-step explanation:

The determinant of the given matrix is 22.

To calculate the determinant of the matrix, we can use the Laplace expansion along the first row.

Using this method, we get:

det = 4 * det\[\begin{array}{ccc}3&4\\-1&1\end{array}\] - 2 * det\[\begin{array}{ccc}4&4\\-1&1\end{array}\] - 2 * det\[\begin{array}{ccc}4&3\\-1&1\end{array}\]

To calculate each of the 2x2 determinants, we can again use the

Laplace expansion

along the first row. This gives:

det\[\begin{array}{ccc}3&4\\-1&1\end{array}\] = 3 * 1 - 4 * (-1) = 7

det\[\begin{array}{ccc}4&4\\-1&1\end{array}\] = 4 * 1 - 4 * (-1) = 8

det\[\begin{array}{ccc}4&3\\-1&1\end{array}\] = 4 * 1 - 3 * (-1) = 7

Substituting these values back into the original formula for the determinant, we get:

det = 4 * 7 - 2 * 8 - 2 * 7 = 28 - 16 - 14 = -2

Therefore, the determinant of the given matrix is -2.

Visit here to learn more about Matrix:

brainly.com/question/28777961

#SPJ11

To calculate the number of bushes needed for Mrs. Chase's triangular backyard, we need to first calculate the perimeter of the triangle. The perimeter of a triangle is the sum of the lengths of its three sides.
c^2 = a^2 + b^2
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
In this case, we have:
c^2 = 12^2 + 30^2
c^2 = 144 + 900
c^2 = 1044
c = √1044
c ≈ 32.28
So the length of the hypotenuse (the third side of the triangle) is approximately 32.28 feet.
Now we can calculate the perimeter of the triangle:
Perimeter = base + height + hypotenuse
Perimeter = 12 + 30 + 32.28
Perimeter ≈ 74.28
Number of bushes = Perimeter / distance between bushes
Number of bushes ≈ 74.28 / 3
Number of bushes ≈ 24.76
Final Answer: Mrs. Chase needs approximately 25 bushes for her backyard.
To determine the number of bushes needed for Mrs. Chase's triangular backyard, we must first calculate the perimeter of the yard. Since the dimensions given are 12 feet and 30 feet, we can assume that these are the lengths of two sides of the triangle. However, we need more information to find the length of the third side and calculate the perimeter.

To know more perimeter visit :-

https://brainly.com/question/12313665

#SPJ11

To solve the equation -2.5(e + 17.4) = -50, we can use algebraic techniques to isolate the variable e on one side of the equation.

First, we can simplify the left-hand side of the equation by distributing the -2.5 to the expression inside the parentheses:

-2.5e - 2.5(17.4) = -50

Next, we can simplify the expression on the left-hand side by multiplying:

-2.5e - 43.5 = -50

To isolate the variable e, we can add 43.5 to both sides of the equation:

-2.5e = -6.5

Finally, we can solve for e by dividing both sides of the equation by -2.5:

e = 2.6

Therefore, the solution to the equation -2.5(e + 17.4) = -50 is e = 2.6.

Answer:

she used a $20 bill, $10 bill, $5 bill, $1 bill, 25 cents 5 cents, and 2 pennies

Step-by-step explanation:

Answer:

A) 11.66190379

B) 9.74679

C)10.24695

D)6.32455532

Step-by-step explanation:

All of these are done by using the equation A^2 + B^2 = C^2, C being the long side and a and b being the short side.

Answer:

h= -10

Step-by-step explanation:

Basically you’re finding out what h is equal to because h can’t be a real number i guess i would say. It is but it also isn’t if that makes sense. Basically just subtract 8 on both sides ands you get your answer. Hope this helped :)

the probability distribution for Michael consistently making two free throw attempts: P (X = 0, 1, 2) = 0.3025, 0.495, and 0.2025, respectively.

The probability distribution displays the likelihood that various conceivable experiment results will occur.

When there are numerous attempts at an event with varying probabilities of success and failure, such as two attempts at free throws with a success probability of 0.45

Then it is appropriate to utilize the Binomial probability formula, where Prob =NcR.Pr.Q(n-r): N = Number of trials, R = Number of successes, P = Success probability, and Q = Failure probability.

Specifically, P (success = 0) = 0.3025, P (success = 1) = 0.495, and P (success = 2) = 0.2025

Learn more about probability here

https://brainly.com/question/12226830

#SPJ4

Answer:

The equation a parallel line will be:

\(y=\frac{4}{3}x-9\)

Hence, option B is correct.

Step-by-step explanation:

Given the equation

\(8x-6y=7\)

Writing the line into the slope-intercept form

\(y = mx+b\)

where m is the slope and b is the y-intercept

so

\(8x-6y=7\)

\(6y\:=\:8x-7\)

Dividing both sides by 6

\(y=\frac{4}{3}x-\frac{7}{6}\)

comparing with the slope-intercept form

Thus, the slope of the line = m = 4/3

We know that the parallel lines have the same slope.

Thus, the slope of the parallel line is also 4/3

Using the point-slope form of the line equation

\(y-y_1=m\left(x-x_1\right)\)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values m = 4/3 and the point (6, -1)

\(y-y_1=m\left(x-x_1\right)\)

\(y-\left(-1\right)=\frac{4}{3}\left(x-6\right)\)

\(y+1=\frac{4}{3}\left(x-6\right)\)

Subtract  1 from both sides

\(y+1-1=\frac{4}{3}\left(x-6\right)-1\)

\(y=\frac{4}{3}x-9\)

Thus, the equation a parallel line will be:

\(y=\frac{4}{3}x-9\)

Hence, option B is correct.

A differential equation's existence and uniqueness in mathematics refers to the existence of a single, clearly defined solution that meets a certain set of requirements.

A differential equation is a type of mathematical equation that links a number of known functions or variables to an unknown function and its derivatives. If a differential equation has existence and uniqueness of solution, it means that there is only one function that satisfies the equation and corresponds to the given conditions for a given set of beginning circumstances.

The terms and structure of the differential equation, such as linearity and initial conditions, decide whether or not a solution exists. The Piccard-Lipschitz theorem, which asserts that if a function and its derivatives are locally Lipschitz continuous, then the solution to the differential equation is unique in a neighbourhood of the initial conditions, frequently ensures the uniqueness of the solution.

In conclusion, the existence and uniqueness of a solution in differential equations is a crucial idea in mathematical modelling and aids in making sure that the solutions to a given problem are clear-cut and consistent with the underlying conditions.

Learn more about differential equation here:

brainly.com/question/14620493

#SPJ4

First, we need to find the total frequency. This is given by adding all the given frequencies. That is,

and the relative frequency is the division of the frequency of the corresponding interval by the total frequency,

Therefore, the answers are:

a) 4/22 but written in simple form:

b)

Answer:

i can understand your problem

Answer: 8 hours

Step-by-step explanation:

speed = distance/time

time = distance/speed

\(time = \frac{680-80}{75} \\time = \frac{600}{75}\\ time = 8hours\)

Answer: y = 1/5x+5

Step-by-step explanation: Slope intercept form is y = mx+b, where m is the slope, and b is the y intercept. Substitute accordingly.

Answer:B 1/18

Step-by-step explanation:

Answer:

  2.7 < x < 12.3 meters

Step-by-step explanation:

You want to know the possible lengths of the third side of a triangle, given that two sides are 7.5 m and 4.8 m.

The triangle inequality requires the sides of a triangle have the relationship ...

  a + b > c

for any assignment of side lengths to the letters a, b, c. In effect, this means the length of a third side must lie between the sum and the difference of the other two sides.

  7.5 -4.8 < x < 7.5 +4.8

  2.7 < x < 12.3 . . . . . meters