what is the result of 6022 x 1023 ?

Answer: x= 5/2, y= 11, z= 3/2

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point form:

(5/2, 11, 3/2)

Step-by-step explanation:

hence proved...

The answer mentioned in above pdf.

missing part is (. OC is correct option of cubic formula)...

The solutions to the equation k³ + 6k² + 9k = 0 are given as follows:

k = 0 and k = -3.

The equation for this problem is defined as follows:

k³ + 6k² + 9k = 0.

Simplifying the common factor k, we have that:

k(k² + 6k + 9) = 0.

The first solution is of:

k = 0.

The second solution is obtained as follows:

k² + 6k + 9 = 0

Applying the perfect square trinomial:

(k + 3)² = 0

k + 3 = 0

k = -3.

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The equation √(x - 1) - 5 = x - 8 has two solutions 2 and 5. The valid solution is 5.

The set of values that can be satisfies the given condition in the equation is known as the solution.  We can solve the equation by adding or subtracting the same integer from both sides. Here adding or subtracting doesn't change the value of the equation.

Here we have

√(x - 1) - 5 = x - 8  

Solve the above equation to get the solutions

√(x - 1) - 5 = x - 8    

Add 5 on both sides

√(x - 1) - 5 + 5 = x - 8 + 5

√(x - 1)  = x - 3  

Do squaring on both sides

[√(x - 1) ]² = (x - 3)²    

[ x - 1 ] = (x² + 9 - 6x)    

x² + 9 - 6x - x + 1 = 0

x² - 7x + 10 = 0  

Now factorize the above equation

x² - 5x - 2x + 10 = 0      

x(x - 5) - 2(x - 5) = 0

(x - 5) (x - 2) = 0

(x - 5) = 0     and     (x - 2) = 0

x = 5                       x = 2      

at x = 2 => √(2 - 1) - 5 = 2 - 8    

=> √1 - 5 = 2 - 8    

=>   - 4 = -6 [ which is not true ]

at x = 5 => √(5 - 1) - 5 = 5 - 8      

=> √(4 - 1) - 5 = - 3  

=> 2 - 5 = -3  [ which is true ]

Therefore,

The equation √(x - 1) - 5 = x - 8 has two solutions 2 and 5. The valid solution is 5.

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Answer:

[tex]\frac{19}{24}[/tex]

Step-by-step explanation:

You need a common denominator so the pieces are equal sizes.  The common denominators is 24

[tex]\frac{4}{6}[/tex] x [tex]\frac{4}{4}[/tex] = [tex]\frac{16}{24}[/tex]

[tex]\frac{1}{8}[/tex] x [tex]\frac{3}{3}[/tex] = [tex]\frac{3}{24}[/tex]

[tex]\frac{16}{24}[/tex] + [tex]\frac{3}{24}[/tex] = [tex]\frac{19}{24}[/tex]

Because the exchange rate between the US dollar (USD) and the euro (EUR) changes over time, the exact conversion from $100 US to euros will be determined by the current exchange rate.

As of the 21 Feb 2023 cutoff date, the exchange rate was around 1 USD = 0.94 EUR.

Using this exchange rate, we can calculate the value of $100 US in euros:

$100 US x 0.94 EUR/USD = 94 EUR

Therefore, as of 21 Feb 2023, $100 US was equivalent to approximately 94 euros.

However, it's important to note that exchange rates are subject to change, and the exact conversion may differ depending on the current rate.

The price at which one currency can be exchanged for another is referred to as the currency exchange rate. Exchange rates fluctuate constantly and are determined by the global foreign exchange market's supply and demand for currencies.

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Sure! A table of values for f(x) = log base 8 of x is shown below:

x) f(x)

1) 0

2) 1/3

3) 0.54

4) 0.67

5)0.79

6)0.89

7) 0.97

8) 1

9) 1.10

10) 1.18

A logarithmic function is a type of mathematical function that involves the use of logarithms. Logarithms are a way of expressing numbers in terms of exponents, and logarithmic functions are functions that involve the logarithm of one or more variables.

The general form of a logarithmic function is:

f(x) = log_b(x)

where b is the base of the logarithm, and x is the argument of the logarithm.

Logarithmic functions have several important properties. One of the main properties is that they can be used to convert between exponential and logarithmic forms of equations. For example, the equation[tex]2^3[/tex] = 8 can be written in a logarithmic form as log_2(8) = 3.

Logarithmic functions are also used in many applications in science, engineering, and finance. In science, logarithmic functions are used to describe the behavior of phenomena that exhibit exponential growth or decay, such as radioactive decay or population growth. In finance, logarithmic functions are used to calculate compound interest and to model the growth of investments over time.

The graph of a logarithmic function is a curve that approaches but never touches the x-axis as the x approaches zero. The shape of the curve depends on the base of the logarithm, and it becomes steeper as the base gets larger. The inverse function of a logarithmic function is an exponential function.

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Jill can water 52 plants.

A measurement of volume or capacity in the US Customary System that is equivalent to 14 gallons or 32 ounces and is used for liquids (0.95 liter).

We must divide the pail's overall capacity by the quantity of water required by each plant to determine how many plants Jill can water.

Let's first translate 6 1/2 gallons into a mixed number:

6 1/2 = 13/2

Then, we can divide the pail's total capacity by the quantity of water that each plant requires:

(13/2) / (1/8) = (13/2) * (8/1) = 104/2 = 52

Jill is then able to water 52 plants.

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2.16% probability that the man would have done at least this well if he had no ESP.

As we know that for each coin toss, there are only two possible outcomes. Either he predicts the correct outcome, or he does not. Therefore, the tosses are independent. So, we can use the binomial probability distribution:

Binomial probability distribution says that, the binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X=x) = Cₙ, ₓ.pˣ.(1-p) ⁿ⁻ˣ

here, Cₙ, ₓ is the number of different combinations of the x objects from a set of n elements, which is given by the following formula:

Cₙ, ₓ = n/x(n-x)

here, p is the probability of X happening, therefore,

fair coin: Equally as likely to be heads or tails, so p = 0.5

number of times coin is flipped = 22

n = 22

now for the probability that he would have done at least this well if he had no ESP:

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22)

In which;

P(X = 16) = 0.0143; P(X = 17) = 0.0053; P(X = 18) = 0.0016; P(X = 19) = 0.0004; P(X = 20) = 0.0001

for the other values we know that they are close to 0, hence,

P(X>16) = P(X=16) + P(X=17) + P(X=18) + P(X=19) + P(X=20) + P(X=21) + P(X=22) = 0.0216

So we know that 2.16% probability that he would have done at least this well if he had no ESP

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If the cost of 3/4 tons of wood chips is $21 then the cost per ton of wood chips is $28.

To find the cost per ton of wood chips, we need to first determine the total cost of 1 ton of wood chips. We know that the cost of 3/4 tons of wood chips is $21, so we can set up a proportion:

3/4 tons / 21 = 1 ton / x

where x is the unknown cost per ton.

To solve for x, we can cross-multiply and simplify:

3/4 tons × x = 21 × 1 ton

3/4 x = 21

x = 21 / (3/4)

x = 28

Therefore, the cost per ton of wood chips is $28.

Finding the cost per ton is a common problem encountered in many industries, particularly those that deal with bulk materials such as wood chips, sand, gravel, or other aggregates. To calculate the cost per ton, it is important to know the total cost of the material and the total weight (or volume) of the material. It's important to note that this method works for any bulk material, as long as the weight (or volume) and cost are known. This information can be used to make informed decisions about purchasing and budgeting for materials, as well as comparing costs across different suppliers.

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Answer:

The correct answer is A. One unique triangle. This is because the sum of the angles in a triangle must equal 180 degrees, so with the given angles, only one unique triangle can be created.

Answer: A!

Step-by-step explanation:

I did it on a Module Test and it was correct!

Answer:

Plug in the variable (x) in the equation.

Step-by-step explanation:

once you plug it in, multiplied by two, and subtract by 3, and it should equal your y input

The results of the first three trials are:

Trial 1: 8 girls, 12 boys

Trial 2: 13 girls, 7 boys

Trial 3: 11 girls, 9 boys

What is permutation and combination ?

Permutation and combination are two related concepts in mathematics that deal with counting and arranging objects.

Permutation refers to the number of ways in which a set of objects can be arranged or ordered. In other words, it involves selecting objects from a set and arranging them in a specific order. The formula for finding the number of permutations of n objects taken r at a time is given by:

nPr = n! / (n-r)!

According to given condition:

To simulate the number of male and female births using a random digit table, the nurse has assigned the digits 0-4 to represent girls and 5-9 to represent boys. She selects samples of 20 and records the digits in order.

For the first trial, the digits are:

1 7 9 3 9 6 7 7 6 4 0 7 1 3 4 9 9 0 4 7

Interpreting these digits using the nurse's coding scheme, we see that there are:

8 girls (represented by the digits 0-4)

12 boys (represented by the digits 5-9)

For the second trial, the digits are:

6 2 4 5 4 8 1 0 6 9 0 7 8 7 9 8 5 4 2 8

Interpreting these digits using the nurse's coding scheme, we see that there are:

13 girls

7 boys

For the third trial, the digits are:

5 9 3 9 8 4 1 8 2 2 4 6 4 8 0 3 3

Interpreting these digits using the nurse's coding scheme, we see that there are:

11 girls

9 boys

Therefore, the results of the first three trials are:

Trial 1: 8 girls, 12 boys

Trial 2: 13 girls, 7 boys

Trial 3: 11 girls, 9 boys

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To find out how many oranges Cindy needs to make 7 cups of orange juice, we can use ratios and proportions.

First, let's find out how many oranges she needs to make 1 cup of orange juice:

2 1/2 oranges make 1/2 cup of orange juice

To make 1 cup of orange juice, she needs twice as many oranges: 2 1/2 * 2 = 5 oranges

So, Cindy needs 5 oranges to make 1 cup of orange juice.

Next, let's use this information to find out how many oranges she needs to make 7 cups of orange juice:

1 cup of orange juice requires 5 oranges

To make 7 cups of orange juice, she needs 7 times as many oranges: 5 * 7 = 35 oranges

Therefore, Cindy needs 35 oranges to make 7 cups of orange juice.

If Cindy used 2 1/2 oranges to make 1/2 cup of orange juice, Cindy will need 35 oranges to make 7 cups of orange juice.

To find out how many oranges Cindy will need to make 7 cups of orange juice, we can set up a proportion based on the information given.

First, we need to determine the ratio of oranges to orange juice. According to the given information, Cindy used 2 1/2 oranges to make 1/2 cup of orange juice. We can represent this as 2.5 oranges per 0.5 cups of juice.

To find the number of oranges needed for 7 cups of juice, we can set up a proportion:

2.5 oranges / 0.5 cups = x oranges / 7 cups

Now we can cross-multiply and solve for x:

(2.5 oranges) * (7 cups) = (0.5 cups) * (x oranges)

17.5 oranges = 0.5x

Divide both sides by 0.5:

17.5 / 0.5 = x

x = 35

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We utilize the differentiation method to obtain the derivative of a function. This entails calculating the limit of the ratio of the change in output (y value) to the change in input (x value). The formula then yields the function's derivative. f'(x) = [tex]\lim_{h \to 0} \frac{f(x+h) - f(x)}{h}[/tex].

Determining the derivative of a function is a simple process. Initially, you must establish the sort of function you are dealing with.

Once the kind of function has been decided, the variables of the function must be identified.

The power rule is then used to determine the derivative of each of the terms.

Lastly, you must combine all of the terms to obtain the overall derivative.

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Answer:

$1.24

Step-by-step explanation:

use a proportion.

$3.10/5 = x/2

5x = 2 × $3.10

x = $1.24

Answer:

$1.24

Step-by-step explanation:

$3.10 for 5 bags

I bag = 310/5= 62

Move the decimal point back two times which is 0.62

2 bags cost 0.62*2= 1.24

= $1.24

Answer:a

Step-by-step explanation:

32 ounces make up a quart. This is a common unit of measurement in the US and other nations that follow the imperial system. Two pints, four cups, or 0.946 liters make up a quart.

The Latin word quartus, which means "fourth," is where the word "quart" originates. This is due to the fact that a quart is 128 ounces or one-fourth of a gallon. A quart is a standard unit of measurement for liquid volumes in the dairy sector, as well as in cooking and baking.

In conclusion, the unit of measurement known as a quart is equivalent to 32 ounces or one-fourth of a gallon. It is frequently employed in dairy production, baking, and cooking. When measuring and preparing components, it's crucial to comprehend how to convert between quarts and other measurement units.

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Radians are multiplied by 180° radians to convert to degrees.

A unit of measurement for angles that is about 57.3°, or the angle covered in the center of a circle by an arc that has the same length as the radius.

Conversion factor between radians and degrees

One radian, or degree, equals 0.01745329252:

1° = π/180°

0.005555556π = 0.01745329252 rad

There are 57.295779513 radians in a degree.

1 rad = 180°/π \s= 57.295779513°

The angle in degrees is equal to the angle in radians times 180 degrees divided by the constant pi: degrees = radians 180° /

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The mass of 1 whole pizza will be 384 g.

What is Proportion ?

A part, piece, or number that is measured in comparison to a total is referred to as a proportion in general. When two ratios are equal, according to the definition of proportion, they are in proportion. It is a formula or claim that shows that two ratios or fractions are equivalent.

He has cut 1st pizza into 24 slices and other pizza into 8 slices.

Let the mass of small slice to be "x" g

So, the mass of large slice will be " 32+x " g

Now, Ben has two identical pizzas, it means the mass of both pizzas will be same.

So, mass of 1st pizza = mass of other pizza

                        24 x   =  8 ( 32+x )

                        24x = 256 + 8x

                        16x = 256

                         x = 16

Hence, the mass of 1 whole pizza = 24 × 16 = 384 g.

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The probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

Probability can be defined as the ratio of favorable outcomes to the total number of events.

Here,
Since the two tests are independent, we can use the multiplication rule for independent events to find the probability that both tests fail to detect the disease in someone who has it:

P(both tests fail) = P(test i fails) × P(test ii fails)

P(test i fails) = 0.30 (as given in the problem)

P(test ii fails) = 0.25 (as given in the problem)

Substituting the values, we get:

P(both tests fail) = 0.30 × 0.25

P(both tests fail) = 0.075

Therefore, the probability that the disease will be undetected in someone who has it when both tests are applied is about 0.075, or approximately 7.5%.

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The median age of the runners is 23.5.

By adding up all the numbers in a data collection and dividing by the total number of values in the set, the mean (average) of the data set can be determined. The median is the middle when a data set is sorted from least to greatest.

We must first arrange the ages from youngest to oldest in order to determine the median:

14, 15, 16, 19, 19, 23, 24, 27, 30, 31, 31, 33

The median will be the average of the sixth and seventh values in this sorted list because there are 12 runners:

(23 + 24) / 2 = 23.5 is the median.

Hence, 23.5 is the runners' median age.

The median, in terms of meaning, is the data set's middle value. In this instance, the age is the exact midpoint between the ages of the 12 racers. It is a central tendency index that shows how typical or representative the data are.

In this situation, the median age of 23.5 can be interpreted as the typical age of the marathon runners. Half of the runners were over 23.5 years old, and half were under that age. Although the middle figure is closer to the lower end of the age spectrum than the higher end, it can also help us estimate the runners' age range. The disparity between the runners' lowest and highest ages is not, however, directly shown.

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Answer:

Step-by-step explanation:

Try putting it in Y= in the calculator

Suav deposits $450 every quarter into an account earning a quarterly interest rate of 2.225%. After 10 years, he would have $7,395 in the account to the nearest dollar.

The formula for calculating the future value (FV) of an investment is: FV = PV(1 + r/n)nt, where PV is the present value, r is the interest rate per period, n is the number of compounding periods per year, and t is the number of years.

In this problem, PV is $450, r is 2.225%, n is 4 (quarters in a year), and t is 10 years. Plugging these values into the formula gives us:

FV = 450(1 + 0.02225/4)4*10 = 450(1.0055625)40 = 450(2.7326) = $7,395

Therefore, after 10 years, Suav would have $7,395 in the account to the nearest dollar.

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11/21 as a decimal rounded to the nearest tenth is 0.5. Below, you will learn how to solve the problem.

To convert the fraction 11/21 to a decimal rounded to the nearest tenth, we can follow these steps:

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Answer:

-3, 1, 5, 9

Step-by-step explanation:

Read the y-coordinate of each point.

The simplification of the given expression would be = 6

60 minutes = 1 hour

But 0.1 of 60 minutes simply means the quantity of 60 minutes that is 0.1.

This can be calculated through the multiplication of 0.1 by 60 minutes.

That is;

= 0.1 ×60 = 6.

Therefore, the the quantity of 60 minutes that is 0.1 = 6.

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The conversion of 83 f to c  is equal to approximately 28.3°C.

As a side note: the unit of temperature Fahrenheit is named after the German physicist Daniel Gabriel Fahrenheit.The unit for temperature Celsius is named after the Swedish astronomer Anders Celsius.

To convert a temperature from Fahrenheit (F) to Celsius (C), you can use the following formula:

C = (F - 32) x 5/9,

where

C is the temperature in Celsius, and

F is the temperature in Fahrenheit.

Using this formula, we can convert 83°F to Celsius as follows:

C = (83 - 32) x 5/9

C = 51 x 5/9

C = 28.3

Therefore, 83°F is equal to approximately 28.3°C.

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Answer:

Step-by-step explanation:

The sum of exterior angles of a polygon is 360

Each exterior angle = 360/n

where n is the number of sides

360/12 = 30

Answer is D