what is 26% of 50?
the answer is 13.

Answer:

1) 30 pounds is the weight of the bag all together

2) science book is the heaviest book

Step-by-step explanation:

bag=4 pounds

library book=2 pounds

maths book=2×4=8 pounds

science book=8×2=16 pounds

4+2+8+16=30 pounds all together

heaviest book= science book (16 pounds)

Answer:

For every 6 roses there are, there are 7 daisies. So if you have 12 roses, you will have 14 daisies

To solve;

(6-7i)+(5+4i)

open the parenthesis

6-7i + 5 + 4i

Re-arrrange

6 + 5 -7i + 4i

11 - 3i

The side lengths will form a right triangle if they satisfy the pythagorean theorem. So:

Therefore, they form a right triangle

Here are the steps in factoring the given polynomial.

Disregard -16 because it has already been factored out. Focus on the quadratic equation inside the parenthesis.

1. Find the factors of the constant term -4 that add up to the middle term -3.

a. -1 and 4 → sum is 3

b. -4 and 1 → sum is -3

2. As we can see above, the factors of -4 that add up to -3 are -4 and 1. Hence, the quadratic equation can be factored to:

So, the polynomial expression when factored is f(x) = (-16)(x - 4)(x + 1).

Answer:

56

Step-by-step explanation:

two of the angles are the same meaning the bottom two are 62. angles in a triangle add up to 180° so you just do 62 + 62 and then take the answer away from 180

62+62=124

180-124=56

Answer:

  108

Step-by-step explanation:

We can rewrite f(x+2) to make it easier to evaluate:

  f(x+2) = (6x +5)x -8

Since we want f(6), we want x+2 = 6, or x=4.

  f(6) = (6·4 +5)·4 -8 = 29·4 -8

  f(6) = 108

Answer: B

Step-by-step explanation:

The data in the table represents a linear function

A linear function is modeled by the following rule:

y = mx + b

In which:

m is the slope, which is the rate of change, that is, the change in y divided by the change in x.

b is the y-intercept, which is the the value of y when the function crosses the x-axis, that is, when x = 0.

Given;

y= 16 8 0 -8 -16

x= 1 2 3 4 5

Here, all the so components in x are multiple of 8

Therefore, data shown will be a linear function.

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Answer:

Step-by-step explanation:

You want to identify the x-intercepts on the graph.

An "x-intercept" is a point where the graph crosses or touches (intercepts) the x-axis. The y-value there is always 0.

The given graph crosses the x-axis where x = -2 and x = 3. This means the x-intercept points are ...

  (-2, 0) and (3, 0)

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Answer:

2x^2 = (2 x 2) x (2 x 2)

= 4 x 4

= 16

I hope this helps you

The outcomes that are contained in the events are

1 - P(X) = 4/5 and 1 - P(X) is the same as P(Not X)

From the question, we have the following parameters that can be used in our computation:

X = gray colours

Given that

gray colours = 3 and 10

We have

X = 3 and 10

Not X =1, 2, 4, 5, 6, 7, 8

The probability is then calculated as

P(X) = 2/10 = 1/5

For P(Not X), we have

P(Not X) = 1 - 1/5 = 4/5

In (a), we have

P(Not X) = 1 - 1/5 = 4/5

This means that

P(Not X) = 1 - P(X)

So, the solution is

1 - P(X) = 4/5

Using the above (a) and (b) as a guide, we have the following:

1 - P(X) is the same as P(Not X)

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Answer:

(2, -3) and r = 3.

Step-by-step explanation:

you can also plug this equation in desmos but I guess it's good to know how to do it also:

The equation of a circle is (x-h)^2 + (y-k)^2 = r^2

Now in order to make a perfect square on both sides, we need to do this:

First add 9 to both sides:

x^2 + 6x + 9 + y^2 -4y +4 = 9.

I purposely shifted it to show the perfect square created when you add 9 to both sides. Factor:

(x+3)^2 + y^2 - 4y + 4 = 9.

now the second bolded part is allso a perfect square. Factor:

(x+3)^2 + (y-2)^2 = 9

Based on the equation of a circle, the center must be at (2, -3) and the radius is the square root of 9 which is 3.

:)

The coefficient of the squared term in the parabola's equation is: -5

We are given the following information in the question:

Vertex of parabola: (2,-4)

Also, (x = 3, y = -1) lies on the parabola.

The general equation of parabola is of the form:

y = a(x - h)² + k

where:

(h, k) is the vertex of the parabola

Putting h = 2, k = -4 in the equation, we get:

y = a(x - 2)² - 4

Now, putting x = -3 and y = -3 in the above equation, we get:

-3 = a(-3 - 2)² - 4

a = 1/25

The second parabola is of the form:

x = a(y + 4)² + 2

At -3, -3:

-3 = a + 2

a =-5

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Answer:

65.2

Step-by-step explanation:

Every km is 0.62 miles and then you multiply that by 105. 105 x 0.62 =65.2

An arborescence is a type of Bayesian network structure that is characterized by a root node, a unique path from the root to every other node, and conditional probabilities that are only dependent on the parent of each node.

An arborescence, also known as a directed rooted tree, is a type of Bayesian network structure in which there is a root node, \( X_{0} \), and a unique path from the root to every other node in the network. This means that there is only one way to reach each node from the root, and there are no cycles in the network. The root node is the only node that does not have any parents, and all other nodes have exactly one parent.

In an arborescence, the conditional probability of each node given its parents is defined as follows:

$$ P(X_{i}|X_{0},...,X_{i-1}) = P(X_{i}|X_{pa(i)}) $$

Where \( X_{pa(i)} \) is the parent of \( X_{i} \).

This means that the probability of each node is only dependent on its parent, and not on any other nodes in the network. This simplifies the calculations needed to determine the probability of a particular event occurring in the network.

Overall, an arborescence is a type of Bayesian network structure that is characterized by a root node, a unique path from the root to every other node, and conditional probabilities that are only dependent on the parent of each node.

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Answer:

Equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is \(\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

Step-by-step explanation:

We need to write an equation of a line through (15, 8) that is perpendicular to the line y =57 x −1.

The equation will be in slope-intercept form: \(\mathbf{y=mx+b}\)

Where m is slope and b is y-intercept.

Finding Slope of new line

We are given equation \(y =57x-1\) of line, which is perpendicular to the line whose equation we need to find.

If the lines are perpendicular there slopes are inverse of each other i.e \(m_1=-\frac{1}{m_2}\)

Slope of given line is m= 57 ( compare the given equation with standard slope-intercept form the value of m is 57

Slope of new line is m= \(-\frac{1}{57}\)

Finding y-intercept of new line

Now finding y-intercept (b) for new line. It can be found using point (15,8) and slope m = \(-\frac{1}{57}\)

\(y=mx+b\\8=-\frac{1}{57}(15)+b\\8=-\frac{15}{57}+b\\b=8+\frac{15}{57}\\b=\frac{8*57+15}{57}\\b=\frac{471}{57}\\b=\frac{157}{19}\)

So, y-intercept b of new line is: \(b=\frac{157}{19}\)

Equation of required line

Equation of line having slope m= \(-\frac{1}{57}\) and y-intercept  \(b=\frac{157}{19}\) is:

\(y=mx+b\\\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

So, equation of a line through (15, 8) that is perpendicular to the line y =57 x −1 is \(\mathbf{y=-\frac{1}{57}x+\frac{157}{19}}\)

Answer:

2 solutions

Step-by-step explanation:

The absolute value of m makes us break this equation apart into two cases:

4(m) = -20 and 4(-m) = -20

Answer:

81.8 kg

Step-by-step explanation:

Answer:

81.8

Step-by-step explanation:

Decimals work just like basic addition.

Line it up at the decimal point.

  46.2

+ 35.6

_______

81.8

Answer:

7 years

Step-by-step explanation:

27370 - 26986.82 = 383.18ft

0.2% = 0.2/100 = 0.002

27370*0.002 = 54.74

each year the montain reduce your elevation

54.74ft

then:

383.18/54.74 = 7

Answer:

7 years

The equation that represents the amount in dollars that she must pay for using the parking lot that month is y = 2x +10, the correct option is B.

An equation is a mathematical statement formed when two algebraic expressions are equated using an equal sign.

The equations are useful in determination of unknown parameters.

The equations are of various types, such as Trigonometric equations, quadratic equations.

The amount Tanesha pays to use the parking lot is $10

The daily amount she pays to use the parking is $2

Let x represents the days in one month.

Let y represents the amount in dollars that she must pay for using the parking lot that month.

The unknown parameters are x and y

The equation that can be formed is

y = 2x +10

It seems that your question is incomplete, the complete question is as follows:

A .  y = 2x

B. y = 2x +10

C. y = 10x +2

D. y = 10x

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Answer: y=-2

Step-by-step explanation:

8y=-16

divide by 8 on each side

y=-2

Answer:

D. 3/19

Step-by-step explanation:

12/1 = 12

12/2 = 6

12/3 = 4

These are the only ones that make the equation true.

There are also only 19 numbers because they need to be less than 20 like the question indicated. Therefore, the answer is D.

The ordered pair we are looking for is the values of the variables \(x\) and \(y\), or \((x, y).\)  We are given that \(x=2\), and that the formula to evaluate \(y\) is \(y = 5^x\). Note we are given \(x\) so we can evaluate \(y\) as \(y = 5^2 = 25\). Now, we have both the values of \(x\) and \(y\), so our ordered pair is thus \((x,y) = (2,25).\)

The range of data set 1 is 4

The range of data set 2 is 4.

A line plot is a graph that is made up of a number line and check marks above the number line. The check mark above the number represents the frequency of the number in the data set. For example, if the number 3 on the number line has 2 checkmarks above it, it means 3 has a frequency of 2.

The range is the difference between the highest number in a dataset and the smallest number in the dataset. Range is a measure of variation.

Range = highest number - lowest number

The range of data set 1 = 7 - 3 =  4

The range of data set 2 : 7 - 3 =  4

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Answer:

There are two types of hypotheses tests. null and alternative

They are complements.

Step-by-step explanation:

There are two types of hypotheses tests. null and alternative

the table shows the summary of both tests.

True Situation                              DECISION

                                  Accept H0             Reject H0

                                                               (or accept Ha)

H0 is true          Correct decision       Wrong Decision

                            (no error)                     type I error          

H0 is false          Wrong Decision           Correct decision

                             type II error                 ( no error)    

The probability of making a type I error is conventionally denoted by alpha and that of committing a type II error is indicated by beta.

∝ = P ( type I error) = P (reject H0 / H0 is true)

β = P (type II error) = P (accept H0 / H0 is false)

When ∝ becomes larger, β tends to become smaller . There is inverse relationship between ∝ and β.

When H0 is true Ha is false when Ha is false H0 is true. So they are compliments of each other.

The perimeter of a shape is the sum of its side lengths

Becca, Lucas, and Christian are correct

The side lengths of the triangle are x, 3x - 4 and 3x - 4

So, the perimeter (P) is:

P = x + 3x - 4 + 3x - 4

The above equation can be rewritten as:

P =2(3x - 4) + x

P = 6x + x - 4

P = (3x - 4) + (3x - 4) + x

P = 7x - 4

Hence, Becca, Lucas, and Christian are correct

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Answer:

c

Step-by-step explanation:

Answer:

To determine the amount of engine oil needed, we need to find 5% of 3.8 gallons:

0.05 x 3.8 = 0.19

So, 0.19 gallons of engine oil should be added to the jerry can.

Analyzing the graph, we can see that initially, as the quantity of bagels increases, the cost decreases due to spreading the fixed cost over more units.

To complete the table and plot the data in one graph, we will calculate the average fixed cost, average variable cost, average total cost, and marginal cost based on the given fixed cost and variable cost information.

Quantity of Bagels represents the number of units produced, while Total Cost represents the sum of Fixed Cost and Variable Cost.

Now, let's plot the data on a graph:

The x-axis represents the Quantity of Bagels, and the y-axis represents the costs.

   |

$14 |                                                     Marginal Cost

   |                                                     -

   |                                                    |

$12 |                                                ----

   |                                              /

   |                                           ---

$10 |                                         /

   |                                      ---

   |                                  ----

$8  |                                /

   |                              --

   |                          ---

$6  |                        /

   |                      --

   |                   ---

$4  |                 /

   |               --

   |           ---

$2  |         /

   |       --

   |  ---

$0  |-----------------------

    0   5   10   15   20

             Quantity of Bagels

The graph shows the different cost curves:

Average Fixed Cost (AFC) curve starts high but decreases as the quantity of bagels increases, as the fixed cost is spread over more units.

Average Variable Cost (AVC) curve starts low but increases as the quantity of bagels increases, indicating diminishing returns.

Average Total Cost (ATC) curve is the sum of AFC and AVC and exhibits a U-shaped curve.

Marginal Cost (MC) curve intersects the AVC and ATC curves at their minimum points, indicating the change in cost for producing one additional unit.

Analyzing the graph, we can see that initially, as the quantity of bagels increases, the cost decreases due to spreading the fixed cost over more units. However, after a certain point, the diminishing returns of variable cost start to outweigh the benefit of spreading fixed costs, causing the average cost to increase.

Understanding cost behavior is essential for decision-making in business, such as pricing, production planning, and profit analysis. The graph provides insights into the relationship between the quantity produced and the associated costs, allowing businesses to optimize their production levels and pricing strategies to maximize profitability.

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Answer: multiply and estimate

Step-by-step explanation:

Answer:

the answer is : a

Step-by-step explanation: