What is this can you help

Answer:

-10/9

Step-by-step explanation:

Use the slope formula: s=(y2-y1)/(x2-x1)
It doesn't matter the order.

Let's say 0 is x2 and 5 is y2; 9 is x1 and -5 is y1

Plug in the equation: s=[(5)-(-5)]/[(0)-(9)]

Simplify and solve: s=[5+5]/[-9]
                               s = -10/9

The dimensions of the dumpster that will minimize its surface area

Length = 4.37 yds

Width  = 2.185 yds

Height  = 2.93 yds

What is Surface Area?

An object's surface area is the total area that all of its surfaces occupy. The formulas we will learn in this post make it simple to determine the various surface areas that various 3D shapes in geometry have. There are two groups for the surface area:

1) Curved surface area or Lateral surface area

2) Surface area overall

The length is said to be twice as long as the width.

So, l = 2w.

Now, the formula for a cube's surface area is;

S = 2lw + 2lh + 2wh.

Changing 2w to l yields;

S = 4wh + 4w² + 2wh.

S = 4w² + 6wh

In the meantime, the formula for a cube's volume is;

V = lwh

add 2w for l to receive;

V = 2w²h

h = V/2w²

In the SA equation, substitute V/2w² for h to get;

SA = 4w² + 6w(V/2w²)

SA = 4w² + 3V/w

V is stated to equal 28 yd3.

Thus;

S = 4w² + 84/w

Let's find the first derivative of S as we want to reduce the surface area;

S' = 8w - 84/w²

At S' = 0;

8w - 84/w² = 0

8w = 84/w²

w³ = 84/8

w = ∛(84/8)

w = 2.185 yds

L = 2 x 2.185

since, l = 2w.

l = 4.37 yds

h = V/2w²;

h = 28/(2 × 2.185²)

h = 2.93 yds

Hence, The dimensions of the dumpster that will minimize its surface area is l = 4.37 yds, w = 2.185 yds and h = 2.93 yds

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The word “quantity” indicate to use a variable

The phrase is given as:

quantity

In an algebraic expression, phrases are used to indicate variables

So, anywhere the word is used, it implies that we make use of a variable

Take for instance:

A quantity is more than 2 means x > 2

Hence, the word “quantity” indicate to use a variable

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Answer:

So, the probability of selecting a number from 1 to 100 that is divisible by 5 or 7 is 0.32.

Hope this helped!

The autograph of the professional basketball player's was worth $250.00 a year ago.

Given that, in the last year, the value of a professional basketball player's autograph rose 40% and it is now worth $350.00.

To determine it worth a year ago, let's call the original value of the autograph "x".

We know that the value increased by 40%, which means it became:

100% + 40% = 140% of its original value.

We can set up the following equation:

140% × x = 350

(140/100)x = 350

1.4x = 350

To solve for x, we can divide both sides by 1.4:

x = 350 ÷ 1.4

x = 250

Therefore, the autograph was worth $250.00 a year ago.

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The simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

To simplify the given expression, let's evaluate the square roots individually and then perform the addition.

√900 = 30, since the square root of 900 is 30.

√0.09 = 0.3, as the square root of 0.09 is 0.3.

√0.000009 = 0.003, since the square root of 0.000009 is 0.003.

Now, we can add these simplified values together

√900 + √0.09 + √0.000009 = 30 + 0.3 + 0.003 = 30.303

Therefore, the simplified value of the expression √900 + √0.09 + √0.000009 is 30.303.

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Answer:

1.0556611e+14

Step-by-step explanation:

1.05566105 + 14

Answer:

The slope of the function y = -2x - 3 is -2. This is calculated by taking the coefficient of the x-term and making it the numerator of a fraction, and making the constant term the denominator.

Step-by-step explanation:

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According to the information, Maria has to add a unit in the second bar that corresponds to the vacations that have between 7 and 9 days.

To complete the graph correctly we must identify what information is in it. First of all we see that there are ranges of duration of vacations on the X axis, then, there are 4 bars that represent the following ranges:

According to the above, since she has not added her last vacation that lasted 7 days, we must add a unit that represents these vacations in the second column, to complete the graph.

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13 and 13√2 is the value of x and y in the given diagram

The given diagram is a right triangle, we need to determine the value of x and y.

Using the trigonometry identity

tan45 = opposite/adjacent
tan45 = x/13

x = 13tan45
x = 13(1)
x = 13

For the value of y

sin45 = x/y

sin45 = 13/y
y = 13/sin45

y = 13√2
Hence the exact value of x and y from the figure is 13 and 13√2 respectively.

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The slope intercept form of the line that includes the point (8, 1)

and has a slope of \(\frac{1}{8}\) is \(y = \frac{1}{8}x\)

What is equation of line in slope intercept form?

The most general form of equation of line in slope intercept form is given by y = mx + c

Where m is the slope of the line and c is the y intercept of the line.

Slope of a line is the tangent of the angle that the line makes with the positive direction of x axis.

If  \(\theta\) is the angle that the line makes with the positive direction of x axis, then slope (m) is given by

m =  \(tan\theta\)

The distance from the origin to the point where the line cuts the x axis is the x intercept of the line.

The distance from the origin to the point where the line cuts the y axis is the y intercept of the line.

Slope = \(\frac{1}{8}\)

The line passes through (8, 1)

Required equation of line

\(y - 1 = \frac{1}{8}(x - 8)\\y - 1 = \frac{1}{8}x -1\\y = \frac{1}{8}x\)

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Answer:

290 what sir,

To change, first you need units

Okay

10mm = 1cm

290 mm =29 cm

Answer:The centimeter is a unit of length in a metric system. Formerly, the centimeter was the basic unit in CGS (centimeter-gram-second) system of units. It is used mostly in countries of a continental Europe.

The centimeter is equal 10 millimeters or 1/100 of a meter. The symbol of a centimeter is cm.

What is a centimeter used for? For instance, to measure height but not only. It is used also to report the level of rainfall or to represent second moment of areas.

The inch is also a unit of length, but in the Imperial (also known as British) and United States customary systems of measurement.

It is used mostly in the United Kingdom and the United States but not only. It is sometimes used in Japan or in continental Europe too, for instance, to measure display screens.

The inch is equal 1/12 of a foot or 1/36 yard. It is also defined as exactly 25.4 mm. The symbol of an inch is in or “.

What is an inch used for? Like a centimeter, it is used to measure height. An inch is also a unit for road signs, in inches is measured distance.

After these theoretical information we can move on to the more practical part of this article to know how much is 290 cm to inches.

290 cm into inches

Before we give you a 290 cm to inches formula, you need to know how many centimeters in an inch and how many inches in a centimeter. Let’s see:

290 cm = 114.173228230 inches

290 inch = 736.60 centimeters

Now we can convert 290 cm to inches. A formula for calculation 290 cm to inches is down below. Have a look:

Number of centimeters * 0.393700787 = the result in inches

So try this 290 cm to inches formula. How much is 290 cm into inches? Multiply 290 by 0.393700787. It gives 114.173228230. So 290 centimeter is equal 114.173228230 inches.

This 290 cm to inches formula is quite long, so it can be difficult to calculate bigger numbers using this formula. But don’t worry. We have also a shorter form of a formula for you. Let’s see:

Number of centimeters * 0.39 = the result in inches

Let’s try this formula to make 290 cm inches conversion. Multiply 290 by 0.39. It gives 113.10. So 290 cm equivalent to inches is 113.10.

You can also calculate what is 290 cm to inches in other way, using 290 cm to inches fraction. Do you want to know how to make it? If you want to convert 290 cm to inches fraction is down below:

Number of centimeters / 2.54 = the result in inches

So try this 290 cm to inches fraction to know 290 cm equals how many inches. Divide 290 by 2.54. It gives 114.17322910. So 290 centimeter is equal 114.17322910 inches.

You can also round off the result, for instance, to two decimal places. Then your result will be equal 0.39 inches.

Now you know how to calculate 290 cm equals many inches in 3 different ways.

290 centimeters into inches

We want to show you how many is 290 cm to inches in two charts. If it comes to conversion of 290 cm to inches image is usually so much clearer than only calculations.

In the first chart we want to show you the result calculated using a full formula. Have a look:

Centimeters (cm) Inches (in)

290 114.173228230

In the second chart you can find the result calculated using a short form of a formula. Let’s see:

Centimeters (cm) Inches (in)

290 113.10 c.m

The probability of flipping a coin and getting two tails followed by a head (TTH) is 1/8 or 12.5%.  

The probability of flipping a coin and getting two tails followed by a head (TTH) is 1/8 or 12.5%. To calculate this, we first need to understand the concept of conditional probability. Conditional probability is the probability of an event occurring, given a certain condition. In the case of flipping a coin, the probability of getting a head or a tail is always 50%, no matter what comes before it.To calculate the probability of getting a TTH sequence, we can use the formula P(A|B) = P(A and B) / P(B). Here, A is the event of getting a TTH sequence, and B is the event of getting two tails. Since the probability of getting a head or a tail is the same, the probability of getting two tails is 0.5 x 0.5 = 0.25. The probability of getting a TTH sequence is 0.5 x 0.5 x 0.5 = 0.125. Therefore, the probability of getting a TTH sequence is 1/8 or 12.5%.

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The estimate of 24% of 289 is 69.36

From the question, we are to determine the estimate the given rate

The given rate is

24% of 289

This can be expressed as

24% × 289

Now, we will evaluate the percentage

To evaluate the percentage, we will divide the number by 100.

That is,

24% = 24/100

Thus,

The expression can further be expressed as

24/100 × 289

= 0.24 × 289

=  69.36

Hence, the estimate is 69.36

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A line that passes through point (3,-5) and is perpendicular to y = -x+5 has the equation y = x - 8.

A straight line has an equation of y=mx + c, where m is the gradient and c is the constant, also known as the y-intercept, at which the line crosses the y-axis.

In order to put the equation in y-intercept (y = mx + b) form and determine the equation of a graphed line, first determine the slope and y-intercept.

It is given that a line's equation passes through point (3,-5) and is perpendicular to y = -x+5.

Slope of given line = -1

Slope of line perpendicular to the given line = Negative of the reciprocal of the slope of a given line = 1

We have the slope and point (3,-5) of the required line. So, we can find the constant of this equation.

y = mx + c

-5 = 1(3) + c

c = -5 - 3

c = -8

Substituting c = -8 and m = 1 to get the equation of required line.

y = mx + c

y = x - 8

As a result, the equation of a line passing through point (3,-5) and perpendicular to y = -x+5 is y = x - 8.

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Answer:

97 child tickets were sold.

Step-by-step explanation:

\(x+y=164\\5.30x+9.90y=1195.80\\\)

y=164-x

\(5.30x+9.90(164-x)=1195.8\)

\(1623.6-4.40x=1195.8\)

\(-4.40x=-427.8\)

\(x=97.23\)

Answer:

5.50961, or 5.5

Hope that this helps!

The probability that he gets 5, 3, and 2 in this order is 0.92, 0.52, and 0.32 respectively.

The possibility of rolling a 6 with these dice is 0.4, according to the question. The possibility of rolling a 1 through 5 on the dice is also the probability of not obtaining a 6.

a) Chance of receiving 5:

P(6) + Q(6) = 5

Q(6) = 5 - P(6)

Q(6) = 5 - 0.4

Q(6) = 4.6

The probability of obtaining 5 to 5 is 4.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 4.6

The first five numbers have an equally likely probability.

P(1) = 4.6 ÷ 5

P(1) = 0.92

b) Probability of getting 3:

P(6) + Q(6) = 3

Q(6) = 3 - P(6)

Q(6) = 3 - 0.4

Q(6) = 2.6

The probability of obtaining 3 to 5 is 2.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 2.6

The first five numbers have an equally likely probability.

P(1) = 2.6 ÷ 5

P(1) = 0.52

c) Probability of getting 2:

P(6) + Q(6) = 2

Q(6) = 2 - P(6)

Q(6) = 2 - 0.4

Q(6) = 1.6

The probability of obtaining 2 to 5 is 1.6 overall.

The probability of receiving one is,

P(1) + P(2) + P(3) + P(4) + P(5) = 1.6

The first five numbers have an equally likely probability.

P(1) = 1.6 ÷ 5

P(1) = 0.32

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Answer:

Supplementary Angles

Step-by-step explanation:

Its what they are, 2 angles that add up to 180°

Answer:

They are supplementary angles.

Step-by-step explanation:

Supplementary angles are two angles that add up to 180°

105+75=180

When solving a system of linear equations by substitution, normally, we want to try to solve for the easiest one to get to or we choose a variable with unit coefficient.

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

A constant component of a word as opposed to a variable. a measurement of some property or characteristic using a number (as of a substance, device, or process)

There are many factors, it is all a matter of preference, normally, we want to try to solve for the easiest one to get to

example;

if we have

(x-3)^2+y=9

we would solve for y because it is less tricky or we choose a variable with unit coefficient.

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Answer:

1.49 x 10^8

Step-by-step explanation:

(5.1x10^8) - (3.61x10^8)

(5.1-3.61) x 10^8

As per the question, in context of mathematics the relation between 2 and 2 is equality relationship.

n mathematics, an equality relationship is a relationship between two quantities or expressions that are equal to each other. This relationship is represented using the equals sign (=).

Relations are important in mathematics because they allow us to describe and analyze the relationships between different quantities or values. Relations can be used to describe how two quantities are related to each other, such as whether they are equal, greater than, or less than each other.

The relationship between 2 and 2 is that they are both equal to each other. In mathematics, two is a number that is equal to the sum of one plus one. It is a cardinal number, which means it is used to count the number of objects in a set. Two is also an even number, which means it is divisible by 2 without a remainder.

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To answer the question, in a lottery game, a player picks six numbers from 1 to 25. If the player matches all six numbers, they win $20,000. Otherwise, they lose $1.

The expected value of this game can be calculated by multiplying the probability of winning (which is 1 in 177,100) by the amount of money won ($20,000) and subtracting the probability of losing (which is 177,099 in 177,100) multiplied by the amount lost ($1).

Expected value = (1/177100) x $20,000 - (177099/177100) x $1 = $0.113

Therefore, the expected value of this lottery game is $0.113. This means that on average, a player can expect to win 11.3 cents per play of the lottery game.

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Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9