Multiple choice easy question. Please answer.

Answer:

above sea level

Step-by-step explanation:

(0,8)+(7,-52) eso es la problema

Okay so we have 18 ppl we want 4 cookies per person

in one batch we can make 24

first multiple 18 by 4 or vice versa

answer is 72

now divide 72 by 24

answer is 3

we need 3 batches to make 4 cookies per person

Answer:

\(x(2 - x) = 0\)

\(x(3x + 13) = 2\)

\( \sqrt{x -3} - 4 = 4\)

\((x + 1)(2x - 3) > 0\)

Answer: B

Step-by-step explanation:

y-intercept of m is -6

y-intercept of n is 2

Since -6 < 2:

A: false

B: true

C: false

D: false

The remaining 50.4% of the variance has not been accounted for, and it could be due to other factors that are not captured by the two variables being studied.

If the correlation between two variables is .496, it means that 49.6% of the variance has been accounted for. This is because the correlation coefficient measures the strength and direction of the linear relationship between the two variables, and it ranges from -1 to 1.

A correlation of 1 indicates a perfect positive linear relationship, while a correlation of -1 indicates a perfect negative linear relationship. In this case, a correlation of .496 indicates a moderate positive linear relationship.

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After evaluating the functions, the answers are:

\(a) h(1) = -6\\b) h(-1) = -10\\c) h(-x) = -2x - 8\\d) h(3a) = 6a - 8\)

Evaluating a function involves substituting a given value for the independent variable and simplifying the expression to find the corresponding output.

By plugging in the value, we can calculate the result of the function at that specific point, providing insight into how the function behaves and its relationship between inputs and outputs.

To evaluate the function \(h(x) = x + x - 8\) at the given values of the independent variable, let's substitute the values and simplify the expressions:

a) For h(1), we substitute x = 1 into the function:

\(\[h(1) = 1 + 1 - 8\]\\h(1) = 2 - 8 = -6\]\)

b) For h(-1), we substitute x = -1 into the function:

\(\[h(-1) = -1 + (-1) - 8\]\\h(-1) = -2 - 8 = -10\]\)

c) For h(-x), we substitute x = -x into the function:

\(\[h(-x) = -x + (-x) - 8\]\\\h(-x) = -2x - 8\]\)

d) For h(3a), we substitute x = 3a into the function:

\(\[h(3a) = 3a + 3a - 8\]\)

Simplifying, we get:

\(\[h(3a) = 6a - 8\]\)

Therefore, the evaluations of the function \(h(x) = x + x - 8\) at the given values are:

\(a) h(1) = -6\\b) h(-1) = -10\\c) h(-x) = -2x - 8\\d) h(3a) = 6a - 8\)

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Answer:

10 gallons of Apple Juice

Step-by-step explanation:

The distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

The Circumference of a circle is defined as the product of the diameter of the circle and pi.

C = πd

where 'd' is the diameter of the circle

The expression is given in the question as:

⇒ 3.14d

The circumference of the Ferris wheel can be determined by multiplying the diameter, d, by (3.14).

Thus, the circumference of the Ferris wheel is:

⇒ 3.14 × 520 = 1635.2 feet.

Since the Ferris wheel makes one full rotation in one ride, the distance traveled by a passenger on each rotation of the Ferris wheel is 1635.2 feet.

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Answer:

Sure, I can help you solve the equation step by step!

7(x-1) - 2 = 180

First, we can simplify the left side by distributing the 7:

7x - 7 - 2 = 180

Simplifying further, we can combine like terms:

7x - 9 = 180

To isolate the variable, we can add 9 to both sides of the equation:

7x - 9 + 9 = 180 + 9

Simplifying:

7x = 189

Finally, we can solve for x by dividing both sides by 7:

x = 27

Therefore, the solution to the equation 7(x-1) - 2 = 180 is x = 27.

Proof:

To check our solution, we can substitute x = 27 back into the original equation and see if both sides are equal:

7(x-1) - 2 = 180

7(27-1) - 2 = 180

7(26) - 2 = 180

182 - 2 = 180

180 = 180

Since both sides are equal, we have verified that x = 27 is the correct solution.

I Hope This Helps!

Step-by-step explanation:

the first one ------ A ) -9,-6,-3,7,11

the second one------- C) 8

the third one ------ B) 1.

hope this helps you.

Answer:

Let the number be x

Given:  

11 + 5x = 20 + 2x

5x - 2x = 20 - 11

3x = 9

x = 3

The number is 3.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Let x represent the number, and set up an equation:

5x + 11 = 2x + 20

Solve for x:

5x + 11 = 2x + 20

3x + 11 = 20

3x = 9

x = 3

So, the number is 3.

Given, y" - 4y² + 3y = 0  g₁(0) = 1 g²(0) = 2Solve using TVP (Talbot's Method)Let f(x) = y''(x) - 4y²(x) + 3y(x) = 0 => LHS = 0 For the first condition, g₁(0) = 1, let Y₁ = Laplace Transform of y(x)For the second condition, g₂(0) = 2, let Y₂ = Laplace Transform of y(x)Applying Laplace Transform to f(x), we getL{y''} - 4L{y²} + 3L{y} = 0 => L{y''} - 4L{y²} + 3L{y} = 0 => s²Y(s) - sy(0) - y'(0) - 4[Y(s)]² + 3Y(s) = 0  ------(1)Applying Initial Conditions to Equation (1)L{y''} - 4L{y²} + 3L{y} = 0 => s²Y(s) - sy(0) - y'(0) - 4[Y(s)]² + 3Y(s) = 0 => s²Y₁ - s(1) - 1 - 4[Y₁]² + 3Y₁ = 0 ------(2)L{y''} - 4L{y²} + 3L{y} = 0 => s²Y(s) - sy(0) - y'(0) - 4[Y(s)]² + 3Y(s) = 0 => s²Y₂ - s(2) - 0 - 4[Y₂]² + 3Y₂ = 0 ------

(3)Taking Laplace Transform of Equation (1), and after solving, we getY(s) = [sy(0) + y'(0) + (4Y²(s))/(3-s²)]/4 ------------(4)Taking Laplace Transform of Equation (2) and after solving, we getY₁(s) = (s² + 1)/(s³ + 4s) --------------(5)Taking Laplace Transform of Equation (3) and after solving, we getY₂(s) = (2s² + 4s + 1)/(s³ + 4s) ------------- (6)From Equation (4), we know that Y(s) can be expressed in terms of Y²(s) by substituting s and y(0) and y'(0) from Equation (5) and (6).Y(s) = [s² + 1 + (4Y²(s))/(3-s²)]/4For s = 8 + 5, we haveY(s) = [13 + (4Y²(s))/59]/4 => 4Y²(s)/59 = 45 => Y²(s) = 45/4(59)Y(s) = (1/2)sqrt(5/59)For s = 8 + 5i, we haveY(s) = [13 + (4Y²(s))/59]/4 => 4Y²(s)/59 = 70 => Y²(s) = 70/4(59)Y(s) = i*sqrt(35/59)From Inverse Laplace Transform, y(t) = Re(L^-1{(1/2)sqrt(5/59)}) for s = 8 + 5i = 0.1147So, y(t) = 0.1997For second inverse Laplace Transform, y(t) = Im(L^-1{i*sqrt(35/59)}) for s = 8 + 5i = 0.1147So, y(t) = 0.4605Thus, the final solution is:y(t) = 0.1997 + j0.4605 for s = 8 + 5i (OR) y(t) = 0.1997 - j0.4605 for s = 8 - 5i (OR) y(t) = Re(L^-1{(1/2)sqrt(5/59)}) for s = 8 + 5i; which is the final solution.Therefore, the solution of the given differential equation using TVP (Talbot's Method) is (0.1997 + j0.4605) or (0.1997 - j0.4605) for s = 8 + 5i and y(t) = Re(L^-1{(1/2)sqrt(5/59)}) for s = 8 + 5i.

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Given equation is `8y" + 28y' + 5y = 4y² - 3y`We need to solve using TVP Laplace transform, with the initial conditions `g₁(0) = 1` and `g₂(0) = 2`.

Applying Laplace transform on both sides of the given differential equation and using the initial conditions, we get:

`8L[y"] + 28L[y'] + 5L[y] = 4L[y²] - 3L[y]``8L[y"] + 28L[y'] + 8L[y] - 3L[y]

= 4L[y²]``8[s²L[y] - s*g₁(0) - g₁'(0)] + 28[sL[y] - g₁(0)] + 8L[y] - 3L[y]

= 4L[y²]``8s²L[y] - 8s + 28sL[y] + 8L[y] - 3L[y] = 4L[y²] + 8``(8s² + 28s + 5)L[y]

= 4L[y²] + 8 + 8s``(8s² + 28s + 5)L[y] = 4L[y²] + 8(s + 1)``L[y]

= [4L[y²] + 8(s + 1)] / [8s² + 28s + 5]``L[y] = [4/(2s + 1) + 8/(s + 1)] / [8s + 5]`

Using partial fractions, we can write: `L[y] = [A/(2s + 1)] + [B/(s + 1)]`Multiplying by the common denominator,

we get:

`L[y] = [(A + 2B)s + (A + B)] / [(2s + 1)(s + 1)]

`Comparing the coefficients,

we get:

`A + 2B = 4` and `A + B = 8

`Solving the above equations, we get `A = 6` and `B = 2`

Therefore, `L[y] = [6/(2s + 1)] + [2/(s + 1)]`.

Taking inverse Laplace transform, we get: `y = 6e^(-t/2) + 2e^(-t)

`Hence, the solution of the given differential equation using TVP Laplace transform is `y = 6e^(-t/2) + 2e^(-t)`

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The area of a regular octagon is equal to the product of the apothem and the perimeter. In this case, the apothem is 10.9 feet and the perimeter is 8 times 9 feet, or 72 feet. Therefore, the area of the gazebo is 10.9 feet multiplied by 72 feet, or 783.8 square feet.

To calculate the area, first draw a diagram of the octagon. Each side of the octagon is 9 feet. Then draw a line segment, known as the apothem, from the center of the octagon to one of the corners. The apothem has a length of 10.9 feet.
Next, draw a line segment from the center to the midpoint of one side of the octagon. This line segment has a length of half the side, or 4.5 feet. The two line segments, the apothem and the line segment connecting the center to the midpoint of one side, form a right triangle. Therefore, the area of the triangle is equal to the length of the apothem (10.9 feet) multiplied by the length of the line segment connecting the center to the midpoint of one side (4.5 feet), divided by 2. This equals 24.6 square feet.

Since there are 8 sides to the octagon, the total area is equal to 8 times the area of the triangle, or 8 multiplied by 24.6, or 196.8 square feet. Finally, add the area of the triangle to the area of the octagon to get the total area of the gazebo, which is 783.8 square feet.

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Answer:2x²+56

Step-by-step explanation:

2x+1-9·X²-7

2x²+56

Hope this Helps!!!!

Step-by-step explanation:

use a little imagination.

the whole thing is a combination of churches and half- circles.

and you know the formula for the area of a circle ?

A = pi×r²

so, the only difficulty is to find the circles and then the radius of each involved circle.

when you look at the picture, the shaded area is almost identical to the lower half of the main circle.

2 bumps "look" over into the other side, but one equally sized bump is removed from this lower half.

so, as a first step we will calculate the area of the lower half of the main circle.

the diameter is 24 m, so the radius is half of that : 12m

the area of the large circle is therefore

pi×12² = 144×pi m²

since we only need the (lower) half, we divide this by 2 :

144×pi / 2 = 72×pi m²

the bumps up and down are actually half-circles too. just of smaller circles.

since AB = BC = CD, we know each of these lines are 1/3 of the main diameter AD.

so, the diameter of the smaller circles is 24/3 = 8 m

and their radius is half of that = 8/2 = 4m

the area of such a small circle is therefore

As = pi×4² = 16×pi m²

and a small half-circle area is then

16×pi / 2 = 8×pi m²

so, for the full shaded area I need to take the large half-circle and add 2 small half-circles, and then subtract 1 small half-circle.

so, in total I only need to add 1 small half-circle.

Ashaded = 72×pi + 8×pi = 80×pi m²

The ratio that best explains why the slope of AB is the same as the slope of AC in similar right triangles ABD and ACE is the ratio of the corresponding side lengths. In similar triangles, corresponding sides are proportional to each other.

This ratio indicates that the slopes of AB and AC are equal because the corresponding side lengths of the similar triangles are proportional.

Let's consider the sides of the triangles that are parallel to the x-axis. In triangle ABD, side AB corresponds to side AC in triangle ACE. Since the triangles are similar, the ratio of the lengths of these sides will be the same as the ratio of their slopes.

Therefore, the ratio of the slopes can be expressed as:

Slope of AB / Slope of AC = Length of AB / Length of AC

This ratio indicates that the slopes of AB and AC are equal because the corresponding side lengths of the similar triangles are proportional.

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Answer: There is one candle for each night of Hanukkah, and the ninth candle, which sits in the middle, is known as the shamash, which translates to attendant or servant candle. This candle is lit first and is used to light the others.

Step-by-step explanation:

\(\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the Exponents ans Indices.

Since we know that, something inverse is a reciprocal.

that, (a) ^-1 = 1/a and (a^m)^n = a^m*n

so applying this we get as,

Option B.

==> 4^15 . 5^10

Multicollinearity can be defined as when two independent variables are correlated, multicollinearity occurs. Reason: Only the interactions between the independent variables are considered multicollinear.

Multicollinearity is the prevalence of excessive intercorrelations amongst or extra impartial variables in a more than one regression model. Multicollinearity: Multicollinearity exists whilst or extra of the explanatory variables are extraordinarily correlated.

This is a hassle as it could be tough to disentangle which ones first-rate explains any shared variance with the outcome. It additionally indicates that the 2 variables may also in reality constitute the identical underlying factor. Multicollinearity takes place whilst or extra impartial variables are extraordinarily correlated with each other in a regression model. This method that an impartial variable may be anticipated from any other impartial variable in a regression model.

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the total parcel size is 88 acres.

Let's denote the total parcel size as X acres.

According to the given information, 1/4 of the land is allocated to shopping, which amounts to 22 acres. Therefore, we can set up the following equation:

(1/4) * X = 22

To find the value of X, we need to solve this equation for X.

Multiplying both sides of the equation by 4, we get:

X = 22 * 4

X = 88

Therefore, the total parcel size is 88 acres.

what is equation?

In mathematics, an equation is a statement that asserts the equality of two expressions. It consists of two sides, known as the left-hand side (LHS) and the right-hand side (RHS), connected by an equals sign (=).

The general form of an equation is:

LHS = RHS

The LHS and RHS can contain variables, constants, mathematical operations (such as addition, subtraction, multiplication, and division), functions, and other mathematical expressions.

The goal when working with equations is to find the values of the variables that satisfy the equation, making both sides equal. This process is often referred to as solving the equation.

For example, the equation "2x + 5 = 13" states that the expression "2x + 5" is equal to 13. To find the value of x that satisfies this equation, we can manipulate the equation to isolate the variable:

2x + 5 - 5 = 13 - 5  (subtract 5 from both sides)

2x = 8

2x/2 = 8/2  (divide both sides by 2)

x = 4

In this case, the value of x that satisfies the equation is 4.

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Answer:

False

Step-by-step explanation:

Not all students who perform well in Science are good at Maths but some are good at both.

Answer:

3/2

Step-by-step explanation:

rise over run

The three angle bisector of a triangle intersect at a single point that point of concurrency of the angle of bisectors is called the incenter.

Given:

the 3 angle bisectors of a triangle intersect.

when three angle bisector of a triangle intersect then that point of concurrency is called incenter.

Incenter:

The incenter of a triangle is the intersection point of all the three interior angle bisectors of the triangle. In other words, it can be defined as the point where the internal angle bisectors of the triangle cross. This point will be equidistant from the sides of a triangle, as the central axis’s junction point is the center point of the triangle’s inscribed circle.

Incenter formula:

= (ax1+bx2+x3 / a+b+c  , ay1+by2+y3 / a+b+c).

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The dollar gains depreciated relative to the pound when the price of pounds in dollars increases, for instance, from $1 = 1 pound to $2 = 1 pound.

Devaluation of a currency can take place in both absolute and relative terms. When the value of one currency declines in relation to the values of other currencies, this is referred to as a relative devaluation. For instance, the British pound sterling may be worth more today than it did yesterday in terms of US dollars.

A currency's value declines when compared to other currencies, which is known as currency depreciation. Political unrest, interest rate differences, weak economic fundamentals, and investor risk aversion are a few examples of the causes of currency devaluation.

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To determine the wavelength of this radiation, we can use the relationship between energy, wavelength, and the speed of light. The energy lost by the atom is given as 9.4145 x 10^-25 wavelength.

Planck's constant is 6.626 x 10^-34 joule seconds, and the speed of light is 2.998 x 10^8 m/s. By rearranging the equation, we can calculate the wavelength of the emitted radiation. The energy of a photon of light can be calculated using the equation E = hc/λ, where E is the energy, h is Planck's constant, c is the speed of light, and λ is the wavelength. Rearranging the equation to solve for wavelength, we have λ = hc/E.

Given that the atom loses 9.4145 x 10^-25 joules of energy, Planck's constant is 6.626 x 10^-34 joule seconds, and the speed of light is 2.998 x 10^8 m/s, we can substitute these values into the equation:

λ = (6.626 x 10^-34 joule seconds) × (2.998 x 10^8 m/s) / (9.4145 x 10^-25 joules)

By performing the calculation, we find:

λ = 1.993 x 10^-7 meters

Therefore, the wavelength of the radiation emitted as a result of the electron transitioning from a higher energy level to the ground state is approximately 1.993 x 10^-7 meters.

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When an electron of an atom falls from a higher energy level to the ground state, the atom loses 9.4145 x 10-25 joules of energy. What is the wavelength of the radiation emitted as a result of this transition? (Planck’s constant is 6.626 x 10-34 joule seconds; the speed of light is 2.998 x 108m/s)?

If we solve for the value of x using the graph we get the coordinates of X as X( \(\frac{21}{4}\) , \(\frac{35}{4}\) ).

What is the linear equation with two variables ?

A linear equation with two variables is any equation that can be expressed in form ax + by + c = 0, where a, b, and c are all real values.

The given equation is a form of linear equation with two variables.

The equation is 16x + 28y = 112.

From graph it is clear that coordinates of Y are Y(1 , -1).

So , let's check for the value of x by putting the values of y in given expression.

i.e.,

The resulted equations will be :

16 x + 28 (1) = 112

or

16x + 28(-1) = 112

So ,

16 x + 28 = 112    --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 1

16x - 28 = 112     --- -- -- ----- ----- ---- ---- ---- ---- ---- ---- ---- Equation 2

The values of x will be :

x = 84 / 16 = 21 / 4

or

x = 140 / 16 = 35 / 4

The coordinates of X will be X(\(\frac{21}{4}\) , \(\frac{35}{4}\) ).

Therefore , solving for the value of x using the graph we get the coordinates of X as X( \(\frac{21}{4}\) , \(\frac{35}{4}\) ).

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Answer:

D

Step-by-step explanation:

As, complementary angles are those which add up to 90°,but those add up to 100°.So not option A

And it not supplementry angles because tge angles that add a 180°,so not option B

And not vertical, because if it was vertical then both of the angles would be equal so not option C

It is D because they both are adjacent to each other, therefore it is option D

The pair of angles shown in the figure will be Adjacent angles. Then the correct option is D.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Adjacent angle - When corresponding sides have a similar vertex and edge, they are referred to as Adjacent angles.

Then the pair of angles shown in the figure will be Adjacent angles.

Then the correct option is D.

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