5x + 6 + 4x + 8 + 2 + 2x + 10

Answer:

c ≈ 6.4 in

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse (c) is equal to the sum of the squares on the other 2 sides, that is

c² = 4² + 5² = 16 + 25 = 41 ( take square root of both sides )

c = \(\sqrt{41}\) ≈ 6.4 in ( to the nearest tenth )

Answer:

2nd

1st

3rd

is the answers

Answer:

#1=2

#2= 14

#3= 26

#4= 32

Step-by-step explanation:

y=6x-16

Lets use the first one as an example: since x is our variable we can plug in 3 into the equation to make y=(6x3)-16. 6x3=18, so y=18-16 which is 2. You can plug in any other number to find your answer as long as you follow the pattern in the equation.

Step-by-step explanation:

\(1) \\ f(x) = 3x - 1 \\ f(2) = 3(2) - 1 = 5 \\ 2) \\f(x) = {x}^{2} - 1 \\ f(2) = {2}^{2} - 1 = 3\)

To find the Z-score corresponding to a right tail area of 0.15, we need to find the Z-score that corresponds to a cumulative probability of 0.85 (since the area to the right is 0.15).

Using a standard normal distribution table or a calculator, we can find that the Z-score for a cumulative probability of 0.85 is approximately 1.036.

Therefore, the approximate Z-score that corresponds to a right tail area of 0.15 is 1.036.

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The area between the curve y = x^5e^x - 1 and the x-axis over the interval -2 ≤ x ≤ 2 can be determined by finding the integral of the absolute value of the function using a graphing calculator.

To find the area between the curve and the x-axis over the given interval, we need to calculate the integral of the absolute value of the function y = x^5e^x - 1 with respect to x over the range -2 to 2. This can be done using a graphing calculator by entering the function and utilizing the absolute value function.

By performing the integral using the calculator, we can obtain the numerical value representing the area between the curve and the x-axis. The result will be an integer or decimal value rounded to two decimal places, indicating the magnitude of the area enclosed by the curve and the x-axis within the specified interval.

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Answer:

I think it's 4 and why do I have to write 20 letters?

Answer:

f(x) = x² - 13x + 42

Step-by-step explanation:

given zeros are x = 6 and x = 7 then the corresponding factors are

(x - 6) and (x - 7)

the quadratic function is then the product of the factors , that is

f(x) = (x - 6)(x - 7) ← expand using FOIL

     = x² - 13x + 42

New York had the larger population with 1.9 x 10⁷ people. The correct option is B.

To compare the populations of the states, we need to convert all the populations to the same unit of measurement. In this case, all the populations are given in terms of millions (10⁶).

We can see that New York's population is 1.9 x 10⁷, which means 19 million people. Georgia's population is given as 9.6 x 10⁶, which is 9.6 million people. Comparing these two values, it is evident that New York has a larger population than Georgia.

Check the populations of the other states:

Alaska: 7.1 x 10⁵ = 0.71 million people

Wyoming: 5.6 x 10⁵ = 0.56 million people

Idaho: 1.5 x 10⁶ = 1.5 million people

New York's population of 19 million is much larger than any of the other states listed, making it the state with the largest population among the options provided. The correct option is B.

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Complete question:

Based on the 2010 census, the population of Georgia was 9.6 x 10^6 people. Which state had a larger population? A. Alaska: 7.1 x 10^5 B. New York: 1.9 x 10^7 C. Wyoming: 5.6 x 10^5 D. Idaho: 1.5 x 10^6

Answer:

i think they are unlike terms

Step-by-step explanation:

To provide the most accurate physical description of an irregularly shaped parcel of land, the option that would typically contain enough different measurements is a. metes and bounds.

Metes and bounds is a method of describing land by specifying the distances and directions of its boundary lines. It involves using a combination of compass bearings, distances, and landmarks to define the boundaries of a parcel of land. This approach is particularly useful for irregularly shaped or non-rectangular plots of land, as it allows for more precise and flexible descriptions.

Rectangular survey (also known as the Public Land Survey System or government survey) is primarily used for large-scale surveys and divides land into a grid-like pattern. Subdivision lot and block is a method used in urban areas to describe individual lots within a larger subdivision. While these methods offer their own advantages, they may not provide the same level of accuracy when describing irregularly shaped parcels of land compared to the metes and bounds system.

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Answer:

12 video games

Step-by-step explanation:

\(6.8 {v}^{2} = 979.20\)

\( {v}^{2} = 144\)

\(v = 12\)

The integration of the given integral ∫ [(cos x - 1)/x] dx will be given below.

\(\int \dfrac{\cos x -1}{x} \ dx = \Sigma _{n=0}^{\infty} (-1) ^n \ \dfrac{x^{2n}}{2n} \cdot \dfrac{1}{(2n)!} + C\)

Integration is a way of finding the total by adding or summing the components. It's a reversal of differentiation, in which we break down functions into pieces. This approach is used to calculate the total on a large scale.

We know that

cos x = 1 - x²/2! + x⁴/4! - ... + (-1)ⁿ x²ⁿ/(2n)! + ....

The expansion series of the cos x can be written as

\(\rm \cos x = \Sigma _{n=0}^{\infty} (-1) ^n \ \dfrac{x^{2n}}{(2n)!}\)

Then the integral will be given as

\(\rm \int \dfrac{\cos x -1}{x} \ dx = \Sigma _{n=0}^{\infty} (-1) ^n \ \dfrac{x^{2n}}{(2n)!} \cdot \dfrac{x^{2n-1}}{(2n)!}\\\\\\\int \dfrac{\cos x -1}{x} \ dx = \Sigma _{n=0}^{\infty} (-1) ^n \ \dfrac{x^{2n}}{2n} \cdot \dfrac{1}{(2n)!} + C\)

The integration of the given integral ∫ [(cos x - 1)/x] dx will be given below.

\(\int \dfrac{\cos x -1}{x} \ dx = \Sigma _{n=0}^{\infty} (-1) ^n \ \dfrac{x^{2n}}{2n} \cdot \dfrac{1}{(2n)!} + C\)

Where C is the constant of integration.

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We restrict the domain of x to a specific range where the inverse function is well-defined.

This range is chosen to be (-π/2, π/2), which corresponds to the principal branch of the arctangent function.

We have,

To restrict the domain of the tangent function (tan x) and define the function arctangent (tan⁻¹x or atan x), we limit the values of x to a specific range.

Now,

The tangent function (tan x) is defined for all real numbers except for certain values where the function becomes undefined, such as when x is equal to (2n + 1) x π/2, where n is an integer.

To define the function arctangent (tan⁻¹x or atan x), we restrict the domain of x to a specific range where the inverse function is well-defined. Typically, this range is chosen to be (-π/2, π/2), which corresponds to the principal branch of the arctangent function.

Thus,

To define the arctangent function (tan⁻¹x), we only consider values of x that lie between -π/2 and π/2, excluding the endpoints.

This ensures that the function has a single-valued and well-defined inverse.

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Answer: A

Step-by-step explanation:

When you square root 26 you get about 5.

-20 is a negative number and therefore below 0 so it has the lowest value out of the three. 13.5 is greater than 5 which is why its the listed last and square root 26 is in the middle

We need to write the inequality expressing the given facts that x differs from -1 by more than 2. Then we need to solve the inequality for x. An absolute value can be used to represent the distance between two numbers. Hence the inequality for x will involve absolute value.

Expressing the fact that x differs from -1 by more than 2 as an inequality involving an absolute value:If x differs from -1 by more than 2, we can represent it using the absolute value of the difference between x and -1, which is |x - (-1)|. It is more than

2. We can represent it using the greater than symbol. Hence the inequality will be:|x - (-1)| > 2Solving for x:When the expression inside the absolute value is positive, we can remove the absolute value. Hence,|x + 1| > 2can be rewritten as:x + 1 > 2 or x + 1 < -2Solving for x in the first equation:x > 2 - 1, x > 1Solving for x in the second equation:x < -2 - 1, x < -3Hence the inequality is:-3 < x < 1Or, we can write it as the set of all values of x that satisfy the inequality:x ∈ (-3, 1)Therefore, the inequality expressing the given facts is |x - (-1)| > 2. The solution to the inequality is x ∈ (-3, 1).

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The probability P(z>0.46) for a standard normal random variable z is 0.8228 or 82.28%.

The probability P(z>0.46) for a standard normal random variable z can be found using the standard normal distribution table or a calculator with a normal distribution function.

Using the table, we can locate the value 0.46 in the first column and the tenths place of the second column. This gives us a corresponding area of 0.1772. However, we need the probability of the right tail, which is 1-0.1772 = 0.8228.

Alternatively, we can use a calculator with a normal distribution function. The function requires the mean (which is 0 for a standard normal distribution) and the standard deviation (which is 1 for a standard normal distribution) and the upper bound of the integral (which is 0.46 in this case). Using this information, we can calculate the probability P(z>0.46) as follows:

P(z>0.46) = 1 - P(z<0.46)

= 1 - 0.6772

= 0.8228

Therefore, the probability P(z>0.46) is 0.8228 or approximately 82.28%.

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Answer: 260 meters

Step-by-step explanation: 20 meters per second x 13 seconds = 260 meters

Answer: 4/5

Step-by-step explanation: It is 8/10, but if you simplify it, it is 4/5.

Answer:

1 8/21 litres

Step-by-step explanation:

Answer:

It's A

Step-by-step explanation:

DO FOIL

-10d^4+(5+12)d^2s-6s^2=-10d^4+17d^2s-6s^2

Answer:

the first answer: -10a^4 + 17a^2s-6s^2

Step-by-step explanation:

Define Ratios and proportions:

A ratio is the comparison between two different quantities while proportion is an equality of two ratios.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given data,

Ratio of hours to lawns mowed

    15 hours ⇒ 5 lawns

    1 hour ⇒ X lawns

     5 : 15 = 1:X

      5/15 = 1/X

Cross multiply,

We can write,

       5X= 15

        X = 15/5

        X = 3 lawns

Therefore,

Rate of lawns mowed per hour = 3 lawns / 1 hour

     = 3 lawns per hour.

Hence,

The number of lawns that could be mowed in 1 hour is 3 lawns.

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Answer:

it C

Step-by-step explanation:

To make homemade pizza: Gather ingredients/tools, prepare dough, preheat oven, shape dough, assemble with sauce, cheese, and toppings, bake at 475°F for 12-15 mins, remove, slice, and serve hot. Customize as desired.

Process: How to make a homemade pizza

Gather Ingredients and Tools

Pizza dough (store-bought or homemade)

Tomato sauce

Cheese (mozzarella or your preferred type)

Toppings of choice (e.g., pepperoni, mushrooms, bell peppers, etc.)

Olive oil

Salt

Flour (for dusting)

Rolling pin

Baking sheet or pizza stone

Oven

Prepare the Dough

If using store-bought dough, follow the instructions on the package. If making homemade dough:

a) Combine flour, yeast, salt, and water in a mixing bowl.

b) Knead the dough until it becomes smooth and elastic.

c) Place the dough in a greased bowl, cover it, and let it rise until it doubles in size (usually around 1-2 hours).

Preheat the Oven

Set the oven temperature to 475°F (245°C) and allow it to preheat.

Shape the Dough

Sprinkle flour on a clean surface and place the dough on it.

Roll out the dough with a rolling pin, creating a round or rectangular shape according to your preference.

If you prefer a thinner crust, roll it out more; for a thicker crust, keep it slightly thicker.

Assemble the Pizza

Transfer the shaped dough to a greased baking sheet or pizza stone.

Brush olive oil over the surface of the dough to prevent it from getting soggy.

Spread a layer of tomato sauce evenly over the dough, leaving a small border for the crust.

Sprinkle a generous amount of cheese over the sauce.

Add your desired toppings on top of the cheese.

Bake the Pizza

Place the baking sheet or pizza stone with the assembled pizza in the preheated oven.

Bake for approximately 12-15 minutes or until the crust is golden brown and the cheese is bubbly and melted.

Remove and Serve

Carefully remove the pizza from the oven using oven mitts.

Let it cool for a few minutes before slicing it into desired portions.

Serve hot and enjoy!

Remember to customize the process based on personal preferences and dietary restrictions. Experiment with different toppings and techniques to create your perfect homemade pizza.

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Answer:

The answer is 2.)

Step-by-step explanation:

Given initial velocity=135 ft/s

& cliff=76 foot

Given quadratic equation

⇒                      (let h=0 it is given)

⇒  

⇒  

⇒    t=8.96≈9 s (the other root is negative)

Hence, rocket will take 9 s to hit the ground after launched.

Answer:  Choice D

0 = 16t^2 + 135t + 76;  9 s

==============================================

Explanation:

The equation we start with is

\(h = -16t^2 + vt + c\\\\\)

where v is the starting or initial velocity, and c is the starting height.

We're told that v = 135 and c = 76

We let h = 0 to indicate when the object hits the ground, aka the height is 0 ft.

That means the equation updates to \(0 = -16t^2 + 135t + 76\\\\\)

Based on that alone, the answer is between A or D

-------------------

We'll use the quadratic formula to solve for t

We have

So,

\(t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\t = \frac{-135 \pm \sqrt{135^2 - 4(-16)(76)}}{2(-16)}\\\\t = \frac{-135 \pm \sqrt{23,089}}{-32}\\\\t \approx \frac{-135 \pm 151.9506}{-32}\\\\t \approx \frac{-135 + 151.9506}{-32} \ \text{ or } \ t \approx \frac{-135 - 151.9506}{-32}\\\\t \approx \frac{16.9506}{-32} \ \text{ or } \ t \approx \frac{-286.9506}{-32}\\\\t \approx -0.52971 \ \text{ or } \ t \approx 8.96721\\\\\)

We ignore the negative t value because a negative time duration makes no sense.

The only practical solution here is roughly 8.96721 which rounds to 9.0 or simply 9 when we round to the nearest tenth (one decimal place).

In short, the object will hit the ground at the 9 second mark roughly. Or put another way: the object is in the air for about 9 seconds.

From this, we can see that the final answer is choice D.

Keep in mind that we aren't accounting for any wind resistance. Considering this variable greatly complicates the problem and requires much higher level mathematics. So we just assume that there is no wind at this moment.

Answer:

y=3/2x-1.5

Step-by-step explanation:

y+3=3/2(x+1)

y+3=3/2x+3/2

-3              -3

y=3/2x-1.5

Answer:

I'd need to see the lines but basically, parallel lines have to be directly across from each other and they have to be the same size, I put a pic so you can see what I mean

Hope this helps you

Answer:

C) yes, because both lines have a slope of 2/3

Step-by-step explanation:

edg2020

Answer:

5

Step-by-step explanation:

All you have to do is subtract Davids score and maria score.

Answer:

6

Step-by-step explanation:

david has 4 and maria has 10 and 10 - 4 = 6

To test Acme's claim that 30% of the production run are rookies, 60% are veterans, and 10% are all-stars, you would use a hypothesis test. The null hypothesis would be that the claimed proportions are true (pR = 0.3, pV = 0.6, pA = 0.1) and the alternative hypothesis would be that at least one of the claimed proportions is incorrect.

You could use a goodness-of-fit chi-square test to compare the observed frequencies of each group of players in the package to the expected frequencies based on the claimed proportions. If the chi-square test statistic is large enough to reject the null hypothesis, then there is evidence that the claimed proportions are not accurate. The significance level would need to be chosen and the appropriate critical value for the chi-square distribution with 2 degrees of freedom would need to be calculated or looked up.

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A point that represents how Dre can spend money on spray paint is plotted on the proportional relationship graphed at the end of the answer.

The money spent after sales tax is obtained multiplying the money spent before sales tax by a constant, hence a proportional relationship models the situation.

The general format of a proportional relationship is given as follows:

y = kx.

In which k is the constant of proportionality.

In this problem, the sales tax rate is of 10%, meaning that the total amount paid is composed as follows:

Considering x as the cost before sales tax, the equation is given as follows:

y = x + 0.1x

y = 1.1x.

Meaning that one point is given as follows:

(5,5.5).

Meaning that when the cost before sales tax is of $5, the cost including sales tax is of $5.5.

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