Rewrite the following equation in slope-intercept form.
14x + 20y = -15

Answer:

− 21  x  +  25 /30

Step-by-step explanation:

Answer:250 ft

Step-by-step explanation:

5 ft x 4 ft = 20

5 ft x 6 ft = 30

20 + 30 = 50

50 x 5 ft = 250 ft

I hope this helps and if its wrong im sorry

Answer:

35

Step-by-step explanation:

Answer:

\(45\frac{9}{10}\) or \(45.9\)

Step-by-step explanation:

All we have to do here is substitute the given value of \(r\) into the given expression. Therefore, after substituting \(r=-\frac{1}{2}\) into \(46+\frac{1}{5}r\), we get:

\(46+\frac{1}{5}r\)

\(= 46+\frac{1}{5}*(-\frac{1}{2} )\) (Substitute \(r=-\frac{1}{2}\) into \(46+\frac{1}{5}r\))

\(=46-\frac{1}{10}\) (Multiply)

\(=45\frac{9}{10}\) or \(45.9\) (Simplify)

Hope this helps!

Hey there!

The answer to your question is  \(45\frac{9}{10}\)

We can find this by simply plugging in the "r" value into the given equation.

46 + \(\frac{1}{5}\) (\(\frac{-1}{2}\))

Now we evaluate the equation:

46 + \(\frac{1}{5}\) (\(\frac{-1}{2}\))

46 + \(\frac{-1}{10}\)

\(45\frac{9}{10}\)

Hope this helps and have an amazing day!

Answer:

6 hours

Step-by-step explanation:

equation is 85+30x=265

if x were 6 answer would be 265

Answer:

he worked for 6 hours

Step-by-step explanation:

first you subtract 85 from 265 and then you keep subtracting 30 from your answer and the you will have 6 hours.

hope this helps! :)

Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).

Step-by-step explanation: The Addition Rule states that for two disjoint events, the probability that one or the other occurs is the sum of the probabilities of the two events. (Book example on p. 280 about the probability that a randomly selected student is either a sophomore (A) or a junior (B) therefore P(A or B). The addition of probabilities for disjoint events is the third basic rule of probability: Rule 3: If two events A and B are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).

Answer: The Addition Rule for disjoint events is the sum of the probabilities of 2 events, while the General Addition Rule says if 2 are disjoint, then the probability of either event is the sum of the probabilities of the two events: P(A or B) = P(A) + P(B).

Step-by-step explanation: hope this helps0^0

Answer:

3x² + 8x + 1

Step-by-step explanation:

Given

4(x² - 1) - (x² - 8x - 5) ← distribute both parenthesis

= 4x² - 4 - x² + 8x + 5 ← collect like terms

= 3x² + 8x + 1

Answer:

x=4,  -5

Step-by-step explanation:

Factor and set each factor equal to zero

Answer:

X = -4 , x= 4

Step-by-step explanation:

20=x^2-x=0

-20+x^2+x=0

x^2+x-20=0

x×(x+5)-4(x+5)=0

(x+5)×(x-4)=0

x+5=0

×-4=0

x=-5

x=4

The point(s) at which f has a local maximum is x = -4.

To find the point(s) at which f has a local maximum, we need to find the critical points of f. This means we need to find the values of x where f'(x) = 0 or f'(x) does not exist.

First, let's set f'(x) = 0 and solve for x:

(3x² + 3x – 36) (1+ g(x)) = 0

We can see that the first factor will be 0 when:

3x² + 3x – 36 = 0

This quadratic equation can be factored as:

(3x – 9)(x + 4) = 0

So we have two solutions: x = 3/ and x = -4.

Now we need to check if f'(x) exists at these points. We know that f'(x) is a product of two factors, and since the first factor is zero at x = 3/ and x = -4, we need to check if the second factor (1+ g(x)) is also zero at those points. If it is, then f'(x) does not exist at those points.

Unfortunately, we don't have any information about g(x), so we can't determine if it is zero at x = 3/ and x = -4. However, we can still use the first derivative test to determine if f has a local maximum at those points.

The first derivative test says that if f'(x) changes sign from positive to negative at x = a, then f has a local maximum at x = a. Similarly, if f'(x) changes sign from negative to positive at x = a, then f has a local minimum at x = a.

Let's evaluate f'(x) for some values of x near x = 3/:

f'(2) = (3(2)² + 3(2) – 36) (1+ g(2)) = -9(1+ g(2))
f'(3) = (3(3)² + 3(3) – 36) (1+ g(3)) = 0
f'(4) = (3(4)² + 3(4) – 36) (1+ g(4)) = 9(1+ g(4))

Since f'(x) changes sign from negative to positive as x increases through x = 3/, we know that f has a local minimum at x = 3/. Similarly, since f'(x) changes sign from positive to negative as x decreases through x = -4, we know that f has a local maximum at x = -4.

Therefore, the point(s) at which f has a local maximum is x = -4.

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The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

Let the actual width of the picnic area be x yards.

According to the given question.

Laura measured a picnic area near the river and made a scale drawing.

The scale she used was 3 inches : 2 yards.

⇒ The scale is 3 inches : 2 yards

The width of the picnic area in the drawing is 90 inches.

As we know that, a proportion is a fraction of a total amount, and the measures are related using a rule of three.

Thereofore, the acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards is given by

3inches : 2 yards = 90inches : x

⇒ 3x = 180

⇒ x = 60yards

The acutal width of the picnic area by using proportion if the scale used is 3 inches : 2 yards will be 60 yards.

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Answer: 7/11 probability it doesn’t land on green

Looking at the triangular prism, the options showing the plan, front elevation and side elevation are:

To show the elevations of a triangular prism, you would need to draw a two-dimensional representation of each of the six faces of the prism, including the top, bottom, and four side faces.

For each face, you would draw the shape of the face, including any dimensions or angles necessary to accurately represent the face.   Finally, you would draw lines to show the elevations of each face, indicating how they are connected to form the three-dimensional shape of the prism.

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The area of the shaded region in this problem is given as follows:

995.44 cm².

The area of a circle of radius r is given by the multiplication of π and the radius squared, as follows:

A = πr²

The radius of a circle represents the distance between the center of the circle and a point on the circumference of the circle, hence it's measure is given as follows:

r = 21 cm.

Then the area of the entire circle is given as follows:

A = π x 21²

A = 1385.44 cm².

The right triangle has two sides of length 39 cm and 20 cm, hence it's area is given as follows:

A = 0.5 x 39 x 10

A = 390 cm².

Then the area of the shaded region is given as follows:

1385.44 - 390 = 995.44 cm².

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The image of the triangle under a dilation with a scale factor of  ¼ and a center of dilation (0, 0) is shown.

So, the focal point of this issue is (0, 0).

(Refer to the graph given below)

Therefore, the image of the triangle under a dilation with a scale factor of  ¼ and a center of dilation (0, 0) is shown.

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Answer:

$ 117.36

Step-by-step explanation:

On the drawing, the rectangular room measures 3 inches by 2 inches, we can convert to feet (using a scale of Inch - 2 feet )

(3 inches ×2) by (2 inches ×2)

= 6 feet by 4 feet

The Area of the room can now be calculated as

Area=( 6 feet × 4 feet)

= 24 ft^2

how much will the new carpet cost?

we know that the carpet costs $4.89 per square foot, then the cost by the area of the room= (Area× $4.89 per square foot)

=24 ft^2 x $4.89

=$ 117.36

Hence, the new carpet cost is $ 117.36

Answer:

eeeeeeeeeeeeeeeeeeeeeeeeeeeeeee

eeeeeeeeeeeeeeeeeeeeeeStep-by-step explanation:

Removing values from a binary search tree requires finding the node to be removed, finding its successor if it has two children, and then removing the node. These operations maintain the values in the tree and ensure that it remains a valid binary search tree.

What will be the following tree (M 3, L = 3)?

A) To insert 4 into the tree, we first compare it to the root node 50. Since 4 is less than 50, we move to the left subtree and compare it to the node 10. Since 4 is less than 10, we continue down the left subtree and reach a null position where we can insert the new node with a value of 4.

The updated tree would be:

     50
    /  \
  10   53
 / \     \
4  11    98
        /  \
      39   100

B) To remove values 10 and 11 from the tree, we first search for them starting at the root node 50. We compare them to each node we encounter and move to the left or right subtree depending on their values.

We first find the value 10 at the left child of the root. We then check its children and see that it has two children, so we cannot simply remove it. We need to find its successor, which is the minimum value in its right subtree.

The minimum value in the right subtree of 10 is 11, so we replace the value of 10 with 11 and remove the node with value 11.

The updated tree would be:

     50
    /  \
  11   53
   \     \
    4    98
        /  \
      39   100

We then repeat this process for the value 11 and remove it from the tree.

The final updated tree would be:

     50
      \
      53
       \
        4
        \
        98
       /  \
     39   100

In summary, removing values from a binary search tree requires finding the node to be removed, finding its successor if it has two children, and then removing the node. These operations maintain the values in the tree and ensure that it remains a valid binary search tree.

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To represent a rotation of the plane R² clockwise by 60°, we can use a 2x2 matrix. The matrix is given by:

R = [[cos(60°) -sin(60°)],

    [sin(60°)  cos(60°)]]

Using the values of cosine and sine for 60° (π/3 in radians), we have:

R = [[1/2  -√3/2],

    [√3/2  1/2]]

To show that this matrix is orthogonal, we need to verify that its transpose is equal to its inverse, and that the product of the matrix and its transpose gives the identity matrix.

First, let's calculate the transpose of matrix R:

R^T = [[1/2  √3/2],

      [-√3/2  1/2]]

Next, we calculate the inverse of matrix R:

R^(-1) = [[1/2  √3/2],

         [-√3/2  1/2]]

We can observe that the transpose of matrix R is equal to its inverse, which satisfies the condition for orthogonality.

Furthermore, when we multiply matrix R by its transpose, we obtain the identity matrix:

R * R^T = [[1/2  -√3/2] * [1/2  √3/2]] = [[1  0],

                                          [0  1]]

This demonstrates that the matrix R is orthogonal, as it satisfies both conditions for orthogonality.

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The coefficient of variation is usually expressed as a percentage and is not the same as the variance or the square of the standard deviation. It is, however, related to the standard deviation and variance.

The coefficient of variation (CV) is a statistical measure that represents the relative variability or dispersion of a dataset. It is calculated by dividing the standard deviation of the dataset by its mean, and is typically expressed as a percentage.

The CV is used to compare the variability between datasets with different means. A higher CV indicates a higher relative variability, while a lower CV indicates a lower relative variability.

The CV is not the same as the variance or the square of the standard deviation, which are absolute measures of variability. It provides a standardized measure that allows for comparison across datasets.

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The length of the line segment with points (-5, 5) (3, -1) is 10 units

The length of line in an ordered pair is calculated using the formula

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

where

d = distance between the points

x₂ and x₁ = points in x coordinates

y₂ and y₁ = points in y coordinates

distance between points  (-5, 5) and (3, -1) is calculated as follows

d = √{(x₂ - x₁)² + (y₂ - y₁)²}

d =√{(-5 - 3)² + (5 - -1)²}

d =√{64 + 36}

d = √100

d = 10 units

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Answer:

Angles in ascending order:

Q, R, S

Step-by-step explanation:

The side with the biggest number also has the biggest angle degree. The side with the smallest number also has the smallest angle degree.

Answer:

\(y=-\frac{1}{4}x+7\)

Step-by-step explanation:

Write in slope-intercept form,  y = m x + b .

Answer:

4y=x+20

Step-by-step explanation:

gradient

8-6/-4-4

= 1/4

y-6=1/4(x-4)

4y-24=x-4

4y=x+20

Answer:

3^2 = 9

So 9 is the number.

The ordered pair (3, 0.864) simply tells us that when the input to the function g is 3, the output is 0.864.

In a generic sense, the ordered pair can represent different things depending on the context. Here are a few examples:

1. Economics: If g represents a demand function where the input is the price of a product and the output is the quantity demanded, then (3, 0.864) means that when the price is $3, consumers will demand 0.864 units of the product.

2. Physics: If g represents the height of an object over time as it is thrown upwards, then (3, 0.864) could mean that 3 seconds after being thrown, the object is 0.864 meters above its starting height.

3. Chemistry: If g represents the concentration of a reactant in a chemical reaction over time, then (3, 0.864) means that 3 hours (or any other unit of time) into the reaction, the concentration of the reactant is 0.864 mol/L.

4. Healthcare: If g represents the level of a certain medication in the bloodstream over time, then (3, 0.864) could mean that 3 hours after administration, the concentration of the medication in the bloodstream is 0.864 mg/L.

Remember that the interpretation of the ordered pair (3, 0.864) depends entirely on the context in which the function g is being used.

Answer:

c/sin(60°) = 14/sin(25°)

c = 14sin(60°)/sin(25°) = 28.7

Answer:

As x increase, y decreases.

The rate of change for y as a function of x is not constant, therefore the function is non-linear.

For all values of x, the function y > 0.

The y-intercept of the graph is the function value y = 8.

When x = 1, the function value y = 5.

Answer:

simplified = 8x - 8

Step-by-step explanation:

trust me :)

9514 1404 393

Answer:

  b)  h(t) = –16t^2 + 50t + 3

Step-by-step explanation:

If you put the given values in the given equation, you get ...

  h(t) = at^2 + vt + h0

where a = -16, v = 50, h0 = 3

  h(t) = -16t^2 +50t +3 . . . . . matches choice B

_____

Comment on the question

The given equation models the vertical height based on a vertical velocity of 'v'. It does not apply in the case where the horizontal velocity is v = 50 ft/s. None of the answer choices correctly models the situation where the pitcher is throwing toward the catcher.

Given:

The amount of time it took four soccer players to run from one goal line to the other is:

Player #1 - 10.4 seconds

Player #2 - 10.1 seconds

Player #3 - 9.9 seconds

Player #4 - 9.4 seconds

To find:

Soccer player whose time would be different from the others, if the data was only accurate to the ones place.

Solution:

We need to approximate the time to the ones place.

Player #1 - 10.4 seconds = 10 seconds

Player #2 - 10.1 seconds  = 10 seconds

Player #3 - 9.9 seconds  = 10 seconds

Player #4 - 9.4 seconds = 9 seconds

Therefore, the time of players 4 is different from others.

Hence, the correct option is D.