What is the y-intercept of the line shown? A. 2 B. -2 C. 4 D. -4

Answer: £76.50

Step-by-step explanation:

You find 10% of 85 = 8.5

then you do £85-£8.50 = 76.50

The point of concurrency of three altitudes of a triangle is called its orthocenter. In the given figure O is the orthocenter.

A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. Triangle ABC denotes a triangle with vertices A, B, and C. In Euclidean geometry, any three non-collinear points define a unique triangle and, by extension, a unique plane. Triangles are polygons in geometry that have three sides and three vertices. This figure is two-dimensional and has three straight sides. A triangle is a three-sided polygon. A triangle's three angles added together equals 180°.

Here,

The orthocenter of a triangle is the place at which three altitudes intersect. In the diagram, O represents the orthocenter.

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The total surface area of the wire-screen chicken coop is 10512 square inches.

The space occupied by a two-dimensional flat surface is called the area. It is measured in square units. The area occupied by a three-dimensional object by its outer surface is called the surface area

the total surface area of the right rectangular prism, we use the formula:

2lw + 2lh + 2wh

where l, w, and h are the length, width, and height of the prism, respectively.

We are given the height, width, and length of the wire-screen chicken coop, which are 42 inches, 36 inches, and 48 inches, respectively.

Substituting these values in the formula, we get:

2(36)(48) + 2(36)(42) + 2(48)(42)

Multiplying out, we get:

= 3456 + 3024 + 4032

Adding these terms, we get the total surface area:

= 10512

Therefore, the total surface area of the wire-screen chicken coop is 10512 square inches.

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73/100

Is 0.73 as a simplified fraction

Answer:

The domain of a function represents the set of all possible input values, or independent variable, for which the function is defined. In this case, the function h(t) represents the height of Martin's rocket in feet at time t seconds after launch.

Since the rocket can't have negative time values, the domain of the function is all non-negative real numbers, or

t ≥ 0

Therefore, the values for the domain of this height function are:

Domain: [0, ∞) or 0 ≤ t < ∞

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Answer:

Row 2 = One (Smaller unit)

Row 3 = 1,000 (How many times as large as)

Row 4 = Kilogram (Larger unit)

Row 5 = Thousand (Larger Unit)

Row 6 = Micrometer (Larger Unit)

Row 7 = 100,000 (How many times as large as)

Answer:

37 boxes

Step-by-step explanation:

At first, Dymin had some boxes. Let x be the starting number of boxes.

Then, she bought 7 more boxes. Let y be the new number of boxes that she had.

y = x + 7

Next, her little brother destroyed half of them. It means half of y. So, the number of boxes left is

Number of boxes = y/2

The number of the boxes left is 22 boxes. Then, we can use the equation above.

Number of boxes = 22

y/2 = 22

Substitute y = x + 7 into the equation.

(x + 7)/2 = 22

x + 7 = 44

x = 44 - 7

x = 37

Thus, Dymin has 37 boxes at first.

Given the equation of a line as shown below :

To determine the slope and the y - intercept of the line, compare the equation with straight line equation

After comparing the equation of a line

Therefore slope = -3 and y - intercept = -2

Answer:

The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.

In the given study comparing the effects of regular-fat cheese to reduced-fat cheese on LDL cholesterol levels, the dependent variable(s) refers to the outcome(s) that are being measured or observed. In this case, the dependent variable in this study is: b. LDL levels

The dependent variable is the variable that is measured or observed to assess the effect of the independent variable(s). In this case, the study is comparing the effects of regular-fat cheese and reduced-fat cheese on LDL cholesterol levels.

LDL cholesterol levels are the outcome being measured to determine the impact of the different types of cheese on cholesterol. Therefore, option b, LDL levels, is the dependent variable in this study. Options a (regular fat cheese) and c (reduced fat cheese) are not the dependent variables but rather the independent variables, as they are the different conditions being compared to assess their effect on LDL levels.

Option d (both a and b) and option e (both b and c) are incorrect because regular-fat cheese (option a) is an independent variable, not a dependent variable.

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If a and b, then c means that if both a and b are true, then c must also be true. This is an example of a conditional statement, where the truth of one proposition (c) is dependent on the truth of the other two propositions (a and b).

Now, given that the reverse of the if-then statement is also correct, we can conclude that if b is true, then a is also true. This means that both a and b are true. Therefore, according to the original statement, c must also be true.

In other words, if a and b are both true, then c must also be true. This is because the conditional statement "if a and b, then c" holds true in this scenario. Therefore, we can conclude that the value of c is true.

Overall, understanding the logic behind conditional statements and their reverses can help us make logical conclusions about the truth of propositions based on the truth of other propositions.

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The value of b that satisfies the given conditions is b = 4.

What is the exponential function?

An exponential function is a function in which a constant base is raised to a variable exponent. The general form of an exponential function is:

f(x) = a * bˣ

o find the value of b in the exponential function f(x) = bˣ that passes through the points (2, 16), (3, 64), and (4, 256), we can use the following steps:

First, we can use the point (2, 16) to write an equation in terms of b:

f(2) = b²= 16

Taking the square root of both sides, we get:

b = √(16) = 4

Next, we can check if the other two points are also satisfied by the equation:

f(3) = b³ = 64

f(4) = b⁴ = 256

Substituting b = 4, we can verify that both of these equations hold true.

Hence, the value of b that satisfies the given conditions is b = 4.

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Answer:

90%

Step-by-step explanation:

63/70 = 0.9 = 90%

Answer:

63 out of 70

63×10÷70=9

9%

The exponential model for the bat population t years after 2012 is \(n(t) = 220000e^{(0.0217t)}\)

What is the exponential function?

An exponential function is a mathematical function of the form:

f(x) = aˣ

where "a" is a constant called the base, and "x" is a variable. Exponential functions can be defined for any base "a", but the most common base is the mathematical constant "e" (approximately 2.71828), known as the natural exponential function.

To find an exponential model of the form n(t) = n0ert, we need to first find the value of r, which is the continuous growth rate.

We can use the formula r = ln(2)/d, where d is the doubling time.

d = 32 years

r = ln(2)/d

r = ln(2)/32

r = 0.0217 (rounded to four decimal places)

Now we can substitute the given values into the exponential model equation:

n(t) = n0ert

\(n(t) = 220000e^{(0.0217t)}\)

Hence, the exponential model for the bat population t years after 2012 is \(n(t) = 220000e^{(0.0217t)}\).

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Step-by-step explanation:

success

:)

.................

Answer:

2j-20

Step-by-step explanation:

Multiply 2 into the parenthesis. So 2(j) -2(10).

This equals 2j-20.

Answer:

y=12

Step-by-step explanation:

BA/BD=BE/BC

24/8=(24+y) / y

16y=192

y=12

In a multiple regression problem involving two independent variables, if b1 is computed to be 2.0, it means that B. the estimated mean of y increases by 2 units for each increase of 1 unit of x1, holding x2 constant

Multiple regression is a statistical technique for examining the relationship between a single dependent variable and a number of independent variables. The goal of multiple regression analysis is to use known independent variables to predict the value of a single dependent variable.

Multiple regression predicts the value of one dependent variable by taking into account the values of the available multiple independent variables. For example, suppose a researcher decides to study the performance of students at a school over time.

In this case, the correct option is B.

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The best model for metronome is a rectangular pyramid.

The approximate surface area is: 500 cm².

The surface area of a rectangular pyramid = lw + l ×√[(w/2)² + h²] + w×√[(l/2)² + h²], where:

The diagram of the metronome is a: rectangular pyramid.

Given the following:

l = 9 cm

w = 11

h = 20

Surface area of a rectangular pyramid = (9)(11) + 9 ×√[(11/2)² + 20²] + 11×√[(9/2)² + 20²]

= 511.18222

Therefore, the approximate surface area is: 500 square centimeters.

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Answer: it is 500 but a metronome is a square prism and that is the right answer on edmentum, not rectangular.

Step-by-step explanation:

Check the picture below.

\(~~~~~~~~~~~~\textit{distance between 2 points} \\\\ P(\stackrel{x_1}{2}~,~\stackrel{y_1}{7})\qquad Q(\stackrel{x_2}{4}~,~\stackrel{y_2}{14})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ PQ=\sqrt{(~~4 - 2~~)^2 + (~~14 - 7~~)^2} \implies PQ=\sqrt{( 2 )^2 + ( 7 )^2} \\\\\\ PQ=\sqrt{ 4 + 49 } \implies PQ=\sqrt{ 53 }\implies PQ\approx 7.3\)

Answer:

{x,y} = {2,-2}

Step-by-step explanation:

System of Linear Equations entered :

  [1]    7x + 3y = 8

  [2]    3x - 4y = 14

Graphic Representation of the Equations :

   3y + 7x = 8        -4y + 3x = 14  

Solve by Substitution :

// Solve equation [2] for the variable  x  

 [2]    3x = 4y + 14

 [2]    x = 4y/3 + 14/3

// Plug this in for variable  x  in equation [1]

  [1]    7•(4y/3+14/3) + 3y = 8

  [1]    37y/3 = -74/3

  [1]    37y = -74

// Solve equation [1] for the variable  y  

  [1]    37y = - 74  

  [1]    y = - 2  

// By now we know this much :

   x = 4y/3+14/3

   y = -2

// Use the  y  value to solve for  x  

  x = (4/3)(-2)+14/3 = 2

Solution :

{x,y} = {2,-2}

The cost of the cardboard used for making 500 boxes is 1890.

To calculate the cost of the cardboard used for making 500 boxes, we need to determine the total area of cardboard required and then multiply it by the cost of the cardboard per unit area.

Total area of one box:

Length = 30 cm

Width = 20 cm

Height = 6 cm

Surface area of the box = 2 * (Length * Width + Width * Height + Height * Length)

= 2 * (30 * 20 + 20 * 6 + 6 * 30)

= 2 * (600 + 120 + 180)

= 2 * 900

= 1800 cm^2

Total area of one box including overlaps:

Additional 5% area required for overlaps = 5/100 * 1800 cm^2

= 90 cm^2

Total area of one box including overlaps = 1800 cm^2 + 90 cm^2

= 1890 cm^2

Total area of cardboard required for 500 boxes:

Total area of cardboard required = Total area of one box including overlaps * Number of boxes

= 1890 cm^2 * 500

= 945,000 cm^2

Cost of the cardboard per unit area:

Cost of the cardboard = Rs 2 for 1000 cm^2

Cost per unit area = Rs 2 / 1000 cm^2

Cost of the cardboard used for making 500 boxes:

Cost of the cardboard used = Total area of cardboard required * Cost per unit area

= 945,000 cm^2 * (Rs 2 / 1000 cm^2)

= Rs 1890

The cost of the cardboard used for making 500 boxes is Rs 1890.

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The maximum abundance of species 1 if 250 of species 2 coexists with it is B. 500.

Determine the carrying capacity ratio between species 1 and 2.
Carrying capacity of species 1 = 1000
Carrying capacity of species 2 = 500
Ratio = 1000 / 500 = 2

Calculate the abundance of species 1 considering the presence of species 2.
Abundance of species 2 = 250
Abundance of species 1 = 2 * 250 = 500

So, the maximum abundance of species 1 if 250 of species 2 coexists with it is 500 (Option B).

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Calculating the likelihood of experiments happening is one of the branches of mathematics named as probability. The probability that none of the 2 vials have hairline cracks is 0.0565.

The study of probabilities, which exists defined by the ratio of favorable occurrences to probable cases, exists comprehended as probability.

The probability that there won't be any hairline cracks = 13/53

If you choose two vials at random from the delivery

Probability (avoiding hairline cracks) = 13 - 1/53 - 1

Probability (avoiding hairline cracks) = 12/52

To find the chance that neither of the two vials has a hairline crack is

(13/53) × (12/52) = 0.2452 × 0.2307

= 0.0565

The probability that none of the 2 vials have hairline cracks is 0.0565

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Answer:

EB = 6 units

Step-by-step explanation:

It is given that we have a circle and two cords AB and CD inside that circle.

AB and CD intersect each other at point E.

Also the values of AE, CE and ED are as follows:

AE = 2 units

CE = 4 units

ED = 3 units

To find: EB = ?

Please refer to the figure attached for a clear picture of the given dimensions.

The relation between intersecting cords is given as:

If the two cords are intersecting and they are divided in parts a, b and c,d

Then

a \(\times\) b = c \(\times\) d

Here,

a = AE = 2 units

c = CE = 4 units

d = ED = 3 units

b = EB = ?

Putting the values in formula:

2 \(\times\) EB = 3 \(\times\) 4

\(\Rightarrow EB = \dfrac{12}{2}\\\Rightarroe EB = 6\ units\)

So, the answer is EB = 6 units

The linear trendline used to forecast sales for a given time period takes the form y = b0 + b1t, where y represents the estimated sales, b0 is the constant term, b1 is the coefficient of the time period variable (t), and t is the time period.

In this equation, the coefficient b1 determines the relationship between the time period and the estimated sales. If b1 increases, it means that for each additional time period, the estimated sales will also increase. On the other hand, if b1 is constant, it implies that the estimated sales do not change with each additional time period.

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Answer:

it's x+3

Step-by-step explanation:

it seems to go up by one so if you go down by you the input of 1 would be the output of 4 also known as (1,4)

and go again down by 1 and get (0,3)

so we know we have to add 3 each time so it is x+3

The dependance on experience is reflected in the syntactic distinction between prior probability statements.

syntax refers to alphabet, while semantics refers to meaning. Syntax is the set of rules demanded to insure a judgment is grammatically correct; semantics is how one's wordbook, grammatical structure, tone, and other rudiments of a judgment coalesce to communicate its meaning. syntax is the arrangement or order of words, determined by both the pen's style and alphabet rules. consisting of or noting coinages that are combined in the same order as they would be if they were separate words in a corresponding construction The word blackberry, which consists of an adjective followed by a noun, is a syntactic emulsion.

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