313,307,301,...
Find the 42nd term.

Using Pythagoras theorem, 11.31 is  the length of one leg of a right triangle .

What is the Pythagorean theorem in plain English?

The Pythagorean Theorem states that the squares on the hypotenuse of a right triangle, which is the side that faces the right angle, are equal when added together.

                           This is written as a2 + b2 = c2 in the familiar algebraic notation.

Theorem: a^2 + b^2 = c^2. a and b are the legs, and c is the hypotenuse.                  

                       14^2 + b^2 = 18^2

                        196 + b² = 324

                            b² = 324 - 196

                              b = √128

                             b = 11.31

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The function is an exponential growth function growth decay percent rate of change of the function is 110 %.

Given :

What type of exponential function is f(x)=0. 75(2. 1)^x what is the function's percent rate of change.

we know that,

exponential growth function in the form of y = a ( 1 + r )^x

on comparing both functions we get ,

1 + r = 2.1

r = 2.1 - 1

r = 21 / 10 - 1

= 21 - 10 / 10

= 11 / 10

= 1.1

converting into percentage:

= 1.1 * 100 %

= 110 %

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Step-by-step explanation:

sign of truelove or truefriendship is the probability of both draw a heart

Answer:

Step-by-step explanation:

the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.

How to find the product between two mixed numbers?

A mixed number is a number that is written as the addition of a whole number and an improper fraction.

Remember that the mixed number "negative two and one third" is written as:

-2 ¹/₃ = (-2 - 1/3)

Here we want to solve the product:

(-2 - 1/3)*(-5 - 15/100)

Notice that all the signs are negative, so the outcome will be positive:

(-2 - 1/3)*(-5 - 15/100) = 2*5 + (1/3)*5 + 2*(15/100) + (1/3)*(15/100)

                                 = 10 + 5/3 + 30/100 + 5/100

                                 = 10 + 5/3 + 3/10 + 1/20

                                  = 10 + 3/3 + 2/3 + 6/20 + 1/20

                                  = 11 + 2/3 + 7/20 = 11 + 40/60 + 21/60

                                  = 11 + 61/60 = 11 + 60/60 + 1/60 = 12 + 1/60

Then the product between the mixed numbers is equal to 12 and 1 over 60, which is the first option.

Answer:

12 1/60

Step-by-step explanation:

-2 1/3 × (-5 15/100) =

= -7/3 × (-5 3/20)

= 7/3 × 103/20

= 721/60

= 12 1/60

Answer:

[tex]2\frac{6}{7}[/tex]

Step-by-step explanation:

-5(-4/7)

First:

A negative multiplied by a negative is positive, so we can remove the negative symbols.

5(4/7)

Multiply:

[tex]\frac{5(4)}{7}[/tex]

20/7

Convert into a mixed number:

2 6/7

The rectangle's area is increasing at a pace of 128 in2 /s.

What in math is a rate?

A rate is a unique ratio where the two words are expressed in several units. For instance, the price is 69 for 12 ounces if a 12-ounce can of maize costs 69. This is not a proportion of two comparable units, like shirts. This ratio compares two dissimilar units: ounces and cents

Give L and W the length and breadth, respectively. The rectangle's surface area is

A = L ⋅ W.

To obtain, differentiate both sides of the aforementioned equation with regard to time t.

dA ⁄ dt = dL ⁄ dt ⋅ W + L ⋅ dW ⁄ dt

Given the circumstances,

dL ⁄ dt = 10 and dW ⁄ dt = 4

So at the moment when L = 12 and W = 2,

dA ⁄ dt = (10)(12) + 4(2 )

          = 128

The rectangle's area is increasing at a pace of 128 in2 /s.

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Answer:

y=3x+10

Step-by-step explanation:

The formula for an equation in slope-intercept is y=mx+b. m is the slope and b is the y-intercept

The 3 is the slope because it says that you have to pay that amount per game so that is the rate. 10 is the y-int because it says that you have to pay a one-time fee and a y-intercept is just once and isn't a rate.

Answer:

The answer is 246

Step-by-step explanation:

So,

S₁₂ = 12/2 [2(4) + (12 - 1)3]

S₁₂ = 6 [8 + (11)3]

S₁₂ = 6 × (8 + 33)

S₁₂ = 6 × 41

S₁₂ = 246

Thus, The S₁₂ of given A.P is 246

The true equation would be = DE/DF = AB/AC

What does an equivalent ratio look like?

When we compare two ratios, they are said to be equivalent. To determine whether two or more ratios are equivalent, they can be compared to one another. For instance, the ratios 1:2 and 2:4 are equivalent.

Are all proportions an equivalent ratio?

Proportional quantities are represented by a collection of corresponding ratios. We can claim, for instance, that 2:3 and 4:6 are proportionate.

Is proportion a constant?

"X is to Y as A Is to B" is how a proportion is expressed. Cross products are the xb and ay products. A proportion's cross products are consistently equal.

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The percentage of oxygen in the water is 0.0002%.

A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.

To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.

Given that a 2000 ml sample of water was collected and found to have 0.004 mL of oxygen. Therefore, the percentage oxygen in water is equal to,

Percentage = Volume of oxygen in the water / Volume of water

                   = 0.004 mL / 2000 mL

                   = 0.004 mL / 2 mL

                   = 0.0002% of water

Therefore, the percentage of oxygen in the water is 0.0002%.

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Step-by-step explanation:

8x + 3y = 7 --------(1)

2x + y = 2 ----------(2)

y = 2 – 2x ---------(3)

just substitute for y in equation (1)

8x + 3(2–2x) = 7

8x + 6 – 6x = 7

8x – 6x + 6 = 7

2x = 7 – 6

2x = 1

x = ½

since x = ½ just substitute for x in equation(3)

y = 2 – 2x

y = 2 – 2(½)

y = 2 – 1

y = 1

so x = ½,y = 1

i hope this helped

Answer:

its 14

Step-by-step explanation:

50 didvdied by 20 is 18 so here u go

The probability that among those selected the second smallest in 2020 is 1/3

In this question, we have been given six distinct integers are selected at random from 2018, 2019, 2020, . . . , 2027

We need to find the probability that among those selected the second smallest in 2020.

Here, total integers are: 10

The total number of ways to choose six distinct integers :

10C6

= 10!/6!(10 - 6)!

= 210

Assume 2020 is the second-lowest number.

There are 5 numbers left to choose, 4 of which must be greater than 2020.

This is equivalent to choosing 4 numbers from the seven numbers larger than 2020, and 1 number from the two numbers less than 2020

using combination formula,

7C4 * 2C1

= 35 * 2

= 70

So, the probability would be,

P = 70/210

P = 1/3

Therefore, the required probability is 1/3  

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Step-by-step explanation:

you did not write this question well

The height the anchor begins to drop is 17.5 m

Since a Naval Carrier dropped anchor off the coast. The massive anchor drops at 3.5 m/s and will be 52.5 meters under the surface of the water after 20 seconds.

Let

The total height the anchor drops is thus H = h + h'

Now, the total height the anchor drops H = vt where

So, equating both equations, we have

vt = h + h'

Making h subject of the formula, we have that

h = vt - h'

Given that

Substituting the values of the variables into the equation, we have that

h = vt - h'

h = 3.5 m/s × 20 s - 52.5 m

h = 70 m - 52.5 m

h = 17.5 m

So, the anchor drops 17.5 m

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30 red playing chip were given to him.

Let m be the number of red playing chips and n be the number of blue playing chips.

since Jack purchased 50 playing chips, we get an equation.

m + n = 50              .............(1)

He pais $400 for these 50 chips, so we get an equation,

10m + 5n = 400         ........(2)

From equation (1) we get,

m = 50 - n               ...............(3)

Substitute above value of m in equation (2),

10(50 - n) + 5n = 400        

500 - 10n + 5n = 400

-5n = -100

n = 20

Substitute above value of n in equation (3),

m = 50 - 20

m = 30

Therefore, the number of red playing chips = 30

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The equation of the tangent line to the curve when y = -1 is y = -4x - 1.

To find the equations of all tangent lines to the curve when y = -1, we can use the definition of a tangent line, which is a line that touches a curve at a single point and has the same slope as the curve at that point.

To find the slope of the curve at a given point, we can use the slope formula:

slope = (y₂ - y₁) / (x₂ - x₁)

In this case, we can set y₁ = -1 and y₂ = -1 + h, where h is a small positive number, and find the corresponding value of x₂ by substituting these values into the equation x - x²y - 2y² = 0. This will give us the slope of the curve at the point (x, -1).

Substituting these values into the equation, we get:

x - x²(-1) - 2(-1 + h)² = 0

Expanding the second term and rearranging, we get:

x - x² + 2(1 - 2h + h²) = 0

This simplifies to:

x - x² + 2 - 4h + 2h² = 0

This can be rewritten as:

x - x² + 2h² - 4h + 2 = 0

To find the slope of the curve at the point (x, -1), we can take the derivative of this equation with respect to x and evaluate it at x = x and h = 0:

slope = (2h² - 4h)'|h=0

= 0 - 4

= -4

Now that we have the slope of the curve at the point (x, -1), we can use the point-slope form of a linear equation to find the equation of the tangent line:

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

y + 1 = -4x

y = -4x - 1

Therefore, when y = -1, the equation of the tangent line to the curve is y = -4x - 1.

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False, an industry standard is to randomly select 10% of the completed surveys for purposes of making a call-back to validate that the interview was conducted.

What are industries standards?

A collection of standards within an industry referring to how activities are typically carried out in their respective domains of production.

                  In other words, it refers to the standards that are commonly accepted by an industry's participants.

Why is this industry norm?

Industry standards are primarily intended to make products compatible with one another and to ensure that consumers can mix and match products from various brands without risk.

                             Best Industry Standards refers to benchmarks that, taking into account elements like the nature and size of the parties, are in the upper quartile in the relevant industry for the delivery of comparable services that are essentially similar to the Services or the relevant part of them.

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Answer: 14/16 & 28/32

Step-by-step explanation: For 14/16, is simply multiplied 7/8 by 2 for the numerator and denominator, so 7 x 2 = 14, and 8 x 2=16. And, I did the same thing for 28/32. Just multiply both sides by 4. I hope this helped!

Reflection of point across x-axis

preimage (-3, 2)         Image (-3, -2)

Reflection of point across y-axis

preimage (-3, 2)         Image (3, 2)

Reflection is one of the movements in transformation that involve creation of mirror image

Transformation rule for reflection over x-axis at origin (0, 0)) is

(x, y) → (x, -y)

Transformation rule for reflection over line y-axis at origin (0, 0)) is

(x, y) → (-x, y)

The reflection to be done is (-3, 2)

Transformation for reflection over x-axis → (-3, -2)

Transformation for reflection over line y-axis  → (3, 2)

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The total distance Desiree travelled was 14km.

Always remember,

Average speed= Total distance travelled/ Total time taken

So, in this case, we have to find the distance,

Distance= Speed × Time

When she  ran 16km per hour for 30 minutes,

⇒ Distance= 16×30/60

⇒ Distance= 8km --------------------(1)

When she ran 8km per hour for 45 minutes,

⇒ Distance= 8×45/60

⇒ Distance= 6km --------------------(2)

Adding equations (1) and (2) we get,

⇒ Distance = 8+6=14km

Hence, the Total Distance travelled was 14km.

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The Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.

Judy Garland's character Dorothy and her dog Toto are carried away in their home to the fantastical country of Oz as a cyclone tear across Kansas.

As they travel along the Yellow Brick Road to the Emerald City to visit the Wizard, they encounter characters like the brainless Scarecrow (Ray Bolger), the heartless Tin Man (Jack Haley), and the Cowardly Lion (Bert Lahr).

The Wizard of Oz set and filming process was toxic, from bosses demanding their injured and sickly players return to set despite still needing to heal to the director smacking a 16-year-old and forcing her to take drugs to control her hunger and keep thin.

Therefore, the Wonderful Wizard of Oz, according to American historian Henry Littlefield, was a metaphor for the 1890s Populist movement, which was an uprising by disaffected manufacturing and agricultural workers to gain control from the financial elite. Littlefield made this claim in 1964.

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Answer:

L1 = L2 = 16.5 cm and L3 = 7cm

Step-by-step explanation:

Triangle perimeter = L1 + L2 + L3 = 40 cm

L1 = L2 = L

L3 = 7

Then:

40 = 2L +7

33 = 2L

L = 33/2

L = 16.5 cm

Answer:

To solve a system of equations without graphing, you can use one of several methods, such as substitution or elimination. Here's how you can solve this system using substitution:

First, solve one of the equations for one of the variables in terms of the other variable. For example, you can solve the first equation for y:

5x + 14y = -5

y = (-5 - 5x) / 14

Substitute this expression for y into the second equation, to get an equation in terms of x:

-3x + 10((-5 - 5x) / 14) = 72

Simplify this equation to get an equation in terms of x:

-3x - 50 - 35x = 72

-38x - 50 = 72

-38x = 122

x = -3.316

Substitute this value for x back into one of the original equations to solve for y:

y = (-5 - 5(-3.316)) / 14

y = (5 + 16.58) / 14

y = 21.58 / 14

y = 1.546

So the solution to the system of equations is (x, y) = (-3.316, 1.546).

Alternatively, you could solve the system using elimination. To do this, you would add the two equations to eliminate one of the variables, and then solve the resulting equation for the remaining variable.

The rationale that supports this statement is:

​Situational experiences are interpreted differently.

Now, According to the question:

Let's Know:

What is the Rationale of the Study?

The rationale of the study explains the reason why the study was conducted (in an article or thesis) or why the study should be conducted (in a proposal). This means the study rationale should explain to the reader or examiner why the study is/was necessary.

We know that :

There are different levels and combinations of concerns among individual students.

Hence, The rationale that supports this statement is:

​Situational experiences are interpreted differently.

In the question;

There are different levels and combinations of concerns among individual students.

what is the rationale that supports this statement?

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The likelihood of winning after one roll in a game is 1/6. This is because there are only two ways to win on the first roll: by rolling a 7 or an 11.

The possibility that an event will occur is gauged by probability. It is a mathematical idea that measures the probability or possibility that a specific event will occur. Probability is expressed as a number between 0 and 1, where 0 denotes that the event is highly unlikely to occur and 1 denotes that it will definitely happen. Making predictions and judgments based on the likelihood of an event occurring is a common use of probability in many disciplines, including statistics, economics, and gambling. The number of successful outcomes is divided by the total number of possible outcomes to determine probability. For example, if a coin is flipped and has a 50% chance of landing on heads, the probability of the coin falling on chiefs is 0.5.

How to solve?

Since there are 6 possible outcomes on a single roll of a pair of dice (1, 2, 3, 4, 5, 6), the likelihood of winning on the first roll is 1/6.

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Answer:

The range is found by the y axis. Find the length by comparing it to the graph.

Step-by-step explanation:

Step-by-step explanation:

y = 160°

take the derivative of both sides

y'= d÷dx(160°)

the derivative of a constant is always 0

y' = 0

Blossoms age now will be 5 years.

An equation is the statement that illustrates the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let Blossom age be x

The information will be illustrated as:

3x + 5 = 2(x + 5)

3x + 5 = 2x + 10

3x - 2x = 10 - 5

x = 5.

Therefore, Blossoms age now will be 5 years.

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