Please help on bothhhh I’m stuck

Answer:

D

Step-by-step explanation:

The constant of proportionality is 8 as seen by the equation:

y = 8x

8 will constantly be multiplied by x (the number of dollars earned) to solve for y (number of tickets sold)

The number 8 will not change

Therefore, 8 is the constant ot proportionality

Answer: 26

Step-by-step explanation:

Answer:

rise/run 6/15 6/15 = 0.4

Step-by-step explanation:

Answer:

y=15/-5x+5 OR y=-3x+5

Step-by-step explanation:

any answer works. the 2nd one is just the simplified version of the first one

The required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

Given that,
The dimensions of this polygon are shown in feet (ft). 10ft/3ft/4 ft/8 ft. The area, in square feet, of the polygon is to be determined.

A polygon is defined as a geometric shape that is composed of 3 or more sides these sides are equal in length, and an equal measure of angle at the vertex,

Examples of polygons, equilateral triangles, squares, pentagons etc

Here,
Assumed that all the polygons are square,
The area of the square is given as (side)².
1,
Side = 10 ft
Area of the square = [10 ft]² = 100 ft²

Similarly,
For side 3 areas is 9 ft²,

For side 4 areas is 16 ft²,

For side 8 areas is 64 ft²,

Thus, the required area of the polygons is given as 100 ft², 9 ft², 16 ft², and 64 ft².

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Answer:

Yes and No

Step-by-step explanation:

It is the same value

1/5 is the same value as 0.2

Answer:

No thry are equal

Step-by-step explanation:

1/5=20/100

0.2= 0.20 or 20/100

Thus, choice A is the best one. Vertex is a minimal point at (-3,-2).

An algebraic equation of the second degree in x is a quadratic equation. With a, b, and c being constants and x being the variable, it can be expressed in the conventional form as ax² + bx + c = 0.

The name "quadratic," which refers to the fact that the equation's variable x is squared, is derived from the Latin word "quadratus," which means "square." Or, to put it another way, "the equation of degree 2"." to put it another way.

There are several uses for quadratic equations across many disciplines, including physics, engineering, economics, and more.

A quadratic equation's vertex form is provided by:

y = a(x - h)² + k

where the parabola's vertex is (h, k).

We can see that h = 3 and k = -2 by comparing this to the equation y = 2(x-3)²-2 that is provided.

Hence, the parabola's vertex is (3, -2).

The parabola widens upwards because the value of x² is positive. The vertex is a minimal point as a result.

Thus, choice A is the best one. Vertex is a minimal point at (-3,-2).

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Answer:

I'm 50% sure it is B)8,4

We want to find the coordinates of a point D such that AB is parallel to CD.

The coordinates of D are: D (10, 7).

We have that:

If we want CD to be parallel to AB, then the change in the components between D and C must be the same as the change in the components between B and A.

The change in the x-component between B and A is:

8 - 1 = 7

The change in the y-component between B and A is:

4 - 7 = -3

Then the coordinates of D are given by:

x = 3 + 7 = 10

y = 10 + (-3) = 7

The coordinates of D such that CD is parallel to AB are:

D(10, 7).

Notice that this is just an option, there are a lot of other possible coordinates that will also make CD parallel to AB, this is just the easier one to find.

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ANSWER: THERE ARE TWO SOLUTIONS TO GET THE ANSWER

THE FIRST ONE IS FACTOR BY GROUPING AND THE SECOND SOLUTION IS SOLVING USING THE QUADRATIC FORMULA.

STEP BY STEP SOLUTION:

FACTOR BY GROUPING

(5x +9) (x -9)

WRITE IN STANDARD FORM

5x^2 - 36x -81

SOLVE USING THE QUADRATIC FORMULA

Solve the equation for x by finding a,b, and c of the quadratic then applying the quadratic formula.

X= 9, -9/5

I HOPE IT HELP YOU :)

The distance the bird has flown by the time Alice and Bob meet is 40 feet.

Given that the distance between Alice and Bob is 1000 feet and their running speed is 10 feet per second and the speed of bird is 20 feet per second.

Distance equals speed multiplied by time.

Distance between Alice and Bob=1000 feet.

Distance between the bird and Bob=1000 feet.

Speed of Alice and Bob=10 feet per second.

The combined speed of Alice and Bob=20 feet per second.

Since the two are running directly toward each other the distance each will cover at the meeting point is 50 feet (1000/20)

The time covered at the meeting point=20 second (1000/50)

Speed of the bird=20 feet per second.

The distance covered by the bird towards Bob at their meeting point is 40 feet(20 feet*20 seconds).

Hence the distance the bird has flown by the time Alice and Bob meet is 40 feet.

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Answer:

I only

Step-by-step explanation:

All numbers are rational.

Not all numbers are whole or integers.

Answer: I only

The oval on the left side is the domain of the function, whereas the oval on the right is the codomain of the function. One can infer it from the arrows; look how they go from the oval on the left to the one on the right.

We say that a is in the range of the function if it exists b in the domain such that f(b)=a

Therefore, 5 is in both the domain and range of the function since f(2)=5. The answer is true.

The probability of observing at least one defective fuse can be found by calculating the complement of the probability of observing zero defective fuses. Using the binomial distribution formula, the probability can be determined as 1 minus the probability of no defectives.

To calculate the probability manually, we can use the binomial distribution formula. The probability of observing exactly k defectives in a sample of size n, given a defect rate p, is given by the formula:

P(X = k) = (nCk) * p^k * (1 - p)^(n - k)

In this case, we want to find the probability of observing at least one defective fuse, which is the complement of the probability of observing zero defectives. So we calculate the probability of zero defectives first and subtract it from 1 to get the desired probability.

P(X >= 1) = 1 - P(X = 0)

P(X = 0) = (5C0) * (0.05^0) * (0.95^5)

Using Excel, we can use the BINOM.DIST function to calculate the probability. The formula would be:

=1 - BINOM.DIST(0, 5, 0.05, FALSE)

This will give us the probability of observing at least one defective fuse in a sample of five fuses from the lot.

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For the drawing of elementary school real measure was 85meters wide but was presented 102 millimeters ,the scale used by Trent to draw  is equal to 833.3 millimeters

As given in the question,

The real measurement of school yard is equal to  85 meters wide

1 meter = 1000 millimeters

⇒ 85 meters = 85000 millimeters

The width of the school building in the drawing = 102 millimeters

The scale used by Trent to draw a drawing of 85000 millimeters is

= 85000 ÷ 102

=833.33..

= 833.3 millimeters

Therefore, for the drawing of elementary school real measure was 85meters wide but was presented 102 millimeters ,the scale used by Trent to draw  is equal to 833.3 millimeters

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The expression for r in terms of R is: r = (1-R²) / R²

In mathematics, the square root of a number is a value that, when multiplied by itself, gives the original number. For example, the square root of 9 is 3, because 3 multiplied by itself gives 9:

3 x 3 = 9

The square root symbol is √, and the number under the symbol is called the radicand. So, √9 is read as "the square root of 9."

Starting with the given equation:

R = √(r-1) / √(r+1)

Let's first clear the square roots by squaring both sides:

R² = (r-1) / (r+1)

Now, let's multiply both sides by (r+1) to eliminate the denominator on the right-hand side:

R²(r+1) = r-1

Expanding the left-hand side:

R²r + R² = r-1

Subtracting R²r from both sides:

R² - R²r = -1

Factoring out R² on the left-hand side:

R²(1-r) = -1

Dividing both sides by (1-r):

R² = -1 / (1-r)

Finally, we can take the square root of both sides and multiply by -1 to isolate r:

r = -1 / R² + 1

Therefore, the expression for r in terms of R is:

r = (1-R²) / R²

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Make r the subject of the following:

R= √(r-1) / √(r+1)

Before we can solve the length of the missing sides and measure of the missing angles, it is important to note some properties of a parallelogram.

1. The opposite angles are congruent. (∠A≅∠C, ∠B≅∠D)

2. The consecutive angles are supplementary. (∠A + ∠D = 180, ∠A + ∠B = 180, etc.)

3. The opposite sides of a parallelogram are parallel and congruent. (AD = BC, AB = DC)

4. Diagonals bisect each other. (AE = EC, DE = EB)

Based on the 2nd property, we know that ∠A + ∠D = 180°. In the question, ∠A = 120° hence, ∠D = 180° - 120° = 60°.

In the diagram, we can see that ∠D = ∠ADB + ∠BDC and the measure of ∠ADB is 43°. Let's solve for the measure of ∠BDC.

Hence, the measure of ∠BDC is 17°. Since ∠BDC and ∠ABD are alternating interior angles, the measure of ∠ABD is also 17°.

Lastly, based on the 4th property which states that diagonal bisect each other, the measure of AE is equal to the measure of EC. Since EC is 7 units, AE is also 7 units.

Minimization of  f(x) = |x+3| + x^3 at the endpoints (-2 and 6)  the minimum value of the function is approximately 3.84, which occurs at x= \sqrt{1/3}

within the given interval.

To minimize the function subject to the constraint f(x) = |x+3| + x^3 that x lies in the interval [-2, 6], we need to find the value of x that minimizes f(x) within that interval.

First, let's analyze the function f(x). The absolute value term |x+3| can be rewritten as:

|x+3| =

x+3 if x+3 >= 0

-(x+3) if x+3 < 0

Since the interval [-2, 6] includes both positive and negative values of x+3, we need to consider both cases.

Case 1: x+3 >= 0

In this case, f(x) = (x+3) + x^3 = 2x + x^3 + 3

Case 2: x+3 < 0

In this case, f(x) = -(x+3) + x^3 = -2x + x^3 - 3

Now, we can find the minimum of f(x) within the given interval by evaluating the function at the endpoints (-2 and 6) and at any critical points within the interval.

Calculating the values of f(x) at x = -2, 6, and the critical points, we can determine the minimum value of f(x) and the corresponding value of x.

Since the equation involves both absolute value and a cubic term, it is not possible to find a closed-form solution or an exact minimum value without numerical methods or approximation techniques.

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The set of numbers {6, 8, 14} and the set {11, 14, 22} could represent the three sides of a triangle.

To determine whether a set of numbers could represent the sides of a triangle, we need to check if it satisfies the triangle inequality theorem. According to the theorem, the sum of any two sides of a triangle must be greater than the length of the third side.

Let's evaluate each set of numbers:

1. {6, 8, 14}

  The sum of the two smaller sides is 6 + 8 = 14, which is greater than the third side 14. Therefore, this set could represent the sides of a triangle.

2. {13, 20, 34}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 34. Hence, this set cannot represent the sides of a triangle.

3. {11, 14, 22}

  The sum of the two smaller sides is 11 + 14 = 25, which is greater than the third side 22. Therefore, this set could represent the sides of a triangle.

4. {13, 20, 35}

  The sum of the two smaller sides is 13 + 20 = 33, which is less than the third side 35. Hence, this set cannot represent the sides of a triangle.

In summary, the sets {6, 8, 14} and {11, 14, 22} could represent the three sides of a triangle.

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To get your answer, you simply reverse the y coordinate. In this case, your answer would be -11,-8. This is because if you flip coordinates across the x-axis, the x coordinate stays the same but the y coordinate reverses.

Given an arithmetic sequence with a common difference of 3 and the tenth term being 11, we can find the sum of the first 30 terms. The sum is 810.

In an arithmetic sequence, each term is obtained by adding a constant value, called the common difference, to the previous term. Let's denote the first term of the sequence as 'a' and the common difference as 'd'.

Given that the tenth term is 11 and the common difference is 3, we can use this information to find the first term. We know that the tenth term is obtained by adding the common difference 9 times to the first term:

a + 9d = 11

Substituting the value of the common difference (d = 3), we can solve for 'a':

a + 9(3) = 11

a + 27 = 11

a = 11 - 27

a = -16

Now that we have the first term 'a' and the common difference 'd', we can find the sum of the first 30 terms using the formula for the sum of an arithmetic series:

S = (n/2)(2a + (n-1)d)

Here, 'n' represents the number of terms. Substituting the values, we have:

S = (30/2)(2(-16) + (30-1)(3))

S = 15(-32 + 29(3))

S = 15(-32 + 87)

S = 15(55)

S = 825

Therefore, the sum of the first 30 terms of the given arithmetic sequence is 810.

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The final length of Juanita recording after editing was completed was 7/6

To solve this exercise, we have to state the equation using the information of the problem:

Information about the problem:

Transforming the mixed number to fraction, we get:

1 1/2 =

[(2*1)  +1]  /2

(2+1)/2

3/2

Calculating the final length of the recording, we have:

Final length = Recorded - deleted

Final length = 3/2 - 1/3

Final length = (9-2) / 6

Final length = 7/6

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

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The expression |y-x| without absolute value is simply: y-x

In mathematics, the absolute value refers to the magnitude or numerical value of a real number without considering its sign. It gives the distance of the number from zero on the number line. The absolute value of a number x is denoted by |x| and is defined as follows:

If x is positive or zero, then |x| = x.

If x is negative, then |x| = -x (the negative sign is removed).

Since y > x, the difference (y-x) will be positive. The absolute value of a positive number is the number itself. Therefore, the expression |y-x| without absolute value is simply: y-x

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Equality Properties

Circumference Formula(s):
\(\displaystyle\begin{aligned}C & = 2 \pi r \\& = \pi d\end{aligned}\)

where d is the diameter and r is the radius.

Let's organize what is given to us in the problem.

We are given that we are riding a Ferris wheel and have traveled 157 feet.

Let's find the radius of the Ferris wheel, which can be geometrically described as a circle. We use the Circumference Formula found above:

∴ the radius of the Ferris wheel is equal to 25 feet.

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The radius of the Ferris wheel is equal to 25 feet. The diameter of the Ferris wheel is equal to 50 feet. Recall that diameter is 2x the radius.

___

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Topic: Geometry

Unit: Circles

Answer:

50 feet

Step-by-step explanation:

trust

Answer:

402 cows per farm

Step-by-step explanation:

12060/30

=402

Answer:

a terminating decimal between –3.14 and –3.15

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Edge 2022

The data includes a concave mirror with a radius of curvature of +31.5 cm and magnification of m = 3.40. The formula for magnification is m = v/u, and the focal length is f = r/2. Substituting the values, we get u = v/m, and using the mirror formula, the distance of the object from the mirror is 10.15 cm.

Given data: Radius of curvature of a concave mirror, r = +31.5 cm Magnification produced by the mirror, m = 3.40

We know that the formula for magnification is given by:

m = v/u where, v = the distance of the image from the mirror u = the distance of the object from the mirror We also know that the formula for the focal length of the mirror is given by :

f = r/2where,f = focal length of the mirror

Using the mirror formula:1/f = 1/v - 1/u

We know that a concave mirror has a positive focal length, so we can replace f with r/2.

We can now simplify the equation to get:1/(r/2) = 1/v - 1/u2/r = 1/v - 1/u

Also, from the given data, we have :m = v/u

Substituting the value of v/u in terms of m, we get: u/v = 1/m

So, u = v/m Substituting the value of u in terms of v/m in the previous equation, we get:2/r = 1/v - m/v Substituting the given values of r and m in the above equation, we get:2/31.5 = 1/v - 3.4/v Solving for v, we get: v = 22.6 cm Now that we know the distance of the image from the mirror, we can use the mirror formula to find the distance of the object from the mirror.1/f = 1/v - 1/u

Substituting the given values of r and v, we get:1/(31.5/2) = 1/22.6 - 1/u Solving for u, we get :u = 10.15 cm

Therefore, the distance of the mirror from the face is 10.15 cm. The units are centimeters (cm).Answer: 10.15 cm.

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(a) The determinant of A inverse multiplied by B inverse is 3/8. (b) The determinant of 24 is 24 to the power of 5.

(a) We know that det(A) × det(A inverse) = 1, and similarly for B. So, det(A inverse) = 1/3 and det(B inverse) = 1/8.

Using the fact that the determinant of a product is the product of the determinants, we have det(A inverse × B inverse) = det(A inverse) × det(B inverse) = 1/3 × 1/8 = 1/24.

Therefore, det(A × B inverse) = 1/det(A inverse × B inverse) = 24/1 = 24.

(b) The determinant of a scalar multiple of a matrix is the scalar raised to the power of the dimension of the matrix.

Since 24 is a scalar and we are dealing with a 5 x 5 matrix, the determinant of 24 is 24 to the power of 5, or 24⁵.

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