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Sketch a graph of g given by g(Θ) = sin (Θ) + 3.

The probability of selecting a vowel from a hat with letters of the alphabet is 5/26 or approximately 0.1923. There are 5 vowels and 26 total letters.

There are 5 vowels in the English alphabet: A, E, I, O, and U. Therefore, the number of favorable outcomes (i.e., the number of vowels in the hat) is 5.

There are a total of 26 letters in the English alphabet. Therefore, the number of possible outcomes (i.e., the number of letters in the hat) is 26.

The probability of selecting a vowel is the ratio of the number of favorable outcomes to the number of possible outcomes:

P(vowel) = number of favorable outcomes / number of possible outcomes

P(vowel) = 5 / 26

Therefore, the probability of selecting a vowel is 5/26 or approximately 0.1923 (rounded to four decimal places).

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Answer:

5

26

5/26

19

Step-by-step explanation:

If the population growth rate is 3.5 percent every year then the population of the town after 7 years would be 14940.

Given that population grows 3.5 percent every year.

So, the increase in population after one year

= 3.5% of 12000

= (3.5/100) × 12000

= 420

Thus the increase in population after 7 year would be,

= population increase in one year × 7

= 420×7 = 2940

Hence population of the town after 7 years = (present population + increase in population)

= 12000 + 2940

= 14940

So the population of the town after 7 years with 3.5 % growth every year would be 14490.

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Assuming he drives at a speed of 60 miles per hour, it will take him 5.5 hours to drive the 330 miles.

If Harold drives 330 more miles at the same rate of 60 miles per hour, we can use the formula:

distance = rate x time

Let t be the time in hours it takes to drive the additional 330 miles. Then we have:

330 = 60t

Solving for t, we get:

t = 330/60

t ≈ 5.5 hours

Therefore, it takes approximately 5.5 hours to drive the additional 330 miles at a rate of 60 miles per hour.

Full question "Harold will drive 330 more miles at the same rate. Assume he drives at a speed of 60 miles per hour, how long does it take to drive the 330 miles?'

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Answer:

20 percent off depends on the original cost: Take the original number and divide it by 10. Double your new number. Subtract your doubled number from the original number. You have taken 20 percent off! For $30, you should have $24.

Step-by-step explanation:

Answer: the team amassed 88i points total, by shooting t two-point baskets and u 1-point free throws.

t+u = 53

total is:  2t + u = 88.

Step-by-step explanation:

hope i makes sense

1.8 ml (milliliters) the nurse will administer the vial of the Midazolam of ordered 9mg.

The formula of calculating this is D/H × Q = x  

where x = Desired dose amount, D = ordered Dose amount, H = amount on hand and Q = quantity.

From the following questions we have.

9mg = order dose, 5mg = amount on hand and 1ml quantity.

x = 9/5 × 1

= 1.8 ml.

Midazolam is administered carefully .it is used for sedation and anesthesia before surgical procedure. Midazolam is a short acting drug under benzodiazepines which have sedation power, so use or administered carefully before surgical procedure.

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The area of the figure composing of a rectangle and a semi-circle is 105.12 ft².

The figure in the image composes of a rectangle and a semi-circle.

The area of a rectangle is expressed as;

Area = Length × Width

The area of a semi-circle is expressed as;

Area = 1/2 × πr²

First, we find the area of the rectangle.

Area = Length × Width

Plug in Length = 10ft and Width = 8ft

Area = 10ft × 8ft

Area = 80ft²

Next, find the area of the semi-circle.

Area = 1/2 × πr²

Since diameter = 8ft, radius r = diameter/2 = 8ft/2 = 4ft

Area = 1/2 × 3.14 × (4ft)²

Area = 1/2 × 3.14 × 16 ft²

Area = 25.12 ft²

Now, area of the composite figure will be:

Area of the rectangle + Area of the semi-circle.

Area = 80ft² + 25.12 ft²

Area = 105.12 ft²

Therefore, the area of the figure is 105.12 ft².

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Answer:

$54.86

Step-by-step explanation:

The tax is 5.5%. Convert to decimals --> .055

Multiply .055 x 52 = $2.86 in tax

Add $2.86 + 52 = $54.86 total

Answer:

Simple and best practice solution for n/6=30= equation. Check how easy it is, ... n-30*6=0. We add all the numbers together, and all the variables n-180=0

Answer:

There are many options, like:

14/1 or 28/2...

Step-by-step explanation:

First write the system:

(21 x 8) / 12

Then simplify the brackets:

(168) / 12

= 14

Then you can put 14 over 1 as an example of proportionality:

14/1 : (21 x 8) / 12

Or multiply it by 2, 3 etc.:

42/3 : (21 x 8) / 12.

A gallon of milk is approximately 4 liters. 250 gallon containers of air will it take to full one cubic meter.

The setup for calculating how many gallon containers of air it will take to fill one cubic meter is:

1 m³ × 1000 L/m³ ÷ 4 L

A gallon of milk is approximately equal to 4 liters.

1 cubic meter (1 m³) of air is equal to 1000 liters.

One cubic foot of water contains 7.48 gallons. Dividing the total number of gallons by 7.48 will get the cubic feet equivalent.

To convert liters to gallons,

divide by 4 (since 1 gallon is approximately equal to 4 liters).

The calculation for how many gallon containers of air it will take to fill one cubic meter is:

1 m³ × 1000 L/m³ ÷ 4 L = 250 gallons.

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Thus, the computer was initially worth $3340 as the PC will be worth $835 after six years.

In mathematics, the unitary approach entails determining the value of a single unit in a certain circumstance and using that value to resolve other issues that are connected to it. It is a quick and efficient method for handling issues involving direct proportion, indirect proportion, and other circumstances of a same nature. In disciplines including mathematics, science, business, and engineering, the unitary technique is widely employed.

given

Let V be the computer's starting value.

The computer's value drops to V/2 after four years.

The computer's value is decreased to V/2 1/2 = V/4 after six years.

We are informed that the PC will be worth $835 after six years. When we set this equal to V/4, we obtain:

V/4 = 835

Adding 4 to both sides results in:

V = 4 × 835 = $3340

Thus, the computer was initially worth $3340 as the PC will be worth $835 after six years.

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Answer:

The diameter of the circle is 12 inches, which means the radius of the circle is half of the diameter, or 6 inches.

The formula for the area of a circle is:

A = πr^2

where A is the area of the circle and r is the radius.

Plugging in the value for the radius, we get:

A = π(6 in)^2

A = π(36 in^2)

A = 113.1 in^2 (rounded to one decimal place)

Therefore, the area of the circle is approximately 113.1 square inches.

Germany and Japan have been profound and long-lasting, these countries have developed in the years since the war.

The 20th century saw numerous wars that had a significant impact on the global political landscape. The two countries in question, let us assume, are Germany and Japan.

During World War II, these two countries were on the same side, the Axis powers, and were both defeated by the Allies.

As a result of this war, both countries experienced a range of political repercussions.

In the aftermath of the war,

both countries were occupied by Allied powers, with the United States occupying Japan and Germany being divided into four separate zones of occupation, each controlled by a different Allied power.  

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Answer:10,400

Step-by-step explanation:

Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.

The strength and direction of the linear connection between two variables are measured by the correlation coefficient. Its value goes from -1 to 1, and it is represented by the symbol "r". A perfect negative correlation, or r = -1, implies that as one variable rises, the other variable falls in an exact predictable manner. There is no linear relationship between the two variables if r = 0, which implies there is no correlation between the two variables. When r = 1, there is a perfect positive correlation, meaning that when one measure rises, the other rises in an exact predictable manner.

given

The maximum temperature for a specific day is shown in the provided image alongside the predicted maximum temperature.

The blue line depicts the expected maximum temperature, while the red line depicts the actual maximum temperature.

We can see that throughout the day, the forecast temperature is typically greater than the actual temperature.

Around noon, when the forecast temperature is about 4 degrees Celsius higher than the measured temperature, the difference is at its greatest.

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Answer:

11.  17

12.  -16

Step-by-step explanation:

The simplified form of the polynomial expression in standard form is: - x² - 8x - 8

The standard form of a polynomial is usually expressed by writing the highest degree of terms first then the next degree and so on. The standard form of polynomial is given by, f(x) = aⁿxⁿ + aⁿ⁻¹xⁿ⁻¹ + aⁿ⁻²xⁿ⁻² + ... + a₁x + a₀, where x is the variable and a_i are coefficients.

The polynomial expression is given as (x+4)² is subtracted from 8. Thus, we have:

8 - (x+4)²

Expanding gives:

8 - (x² + 8x + 16)

= 8 - x² - 8x - 16

= - x² - 8x - 8

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Answer:

a

Step-by-step explanation:

I just did the test

Answer:

The effect on the graph of the function f(x) = 2^x when f(x) is replaced with f(x − 3) is that it translates horizontally 3 units right.

When a function is replaced with f(x - c), where c is a positive constant, the graph of the function shifts horizontally c units to the right. Similarly, if c is negative, the graph shifts horizontally c units to the left.

Therefore, replacing f(x) with f(x - 3) in the function f(x) = 2^x shifts the graph of the function horizontally by 3 units to the right.

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Answer:18

Step-by-step explanation:

Volume prism is equal to product of width, length and height of prism which is in this case:

[tex]V=4*2*2\frac{1}{4}=8*\frac{9}{4}=18[/tex]

Answer:

Step-by-step explanation:well work it out use ur brain

Answer:

Step-by-step explanation:you need to multiply 120x40=20 your get $2,408

Because the critical region is all on one side in a one-tailed test and needs to be split between the two tails in a two-tailed test.

In a one-tailed test, the alternative hypothesis is directional and the critical region is all on one side of the distribution. In a two-tailed test, the alternative hypothesis is non-directional and the critical region is split between the two tails of the distribution.

It is easier to reject the null hypothesis with a one-tailed test because the critical region is all on one side of the distribution, making it more likely to observe a significant difference and reject the null hypothesis. In contrast, the critical region is split between the two tails in a two-tailed test, making it less likely to observe a significant difference and reject the null hypothesis.

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In Linear pair, 52°  is the value ∠AZJ .

What is Linear pairs?

When two lines meet at a single point, a pair of linear angles is created. If, following the junction of the two lines, the angles are next to one another, they are said to be linear. A linear pair's total angles are always equal to 180 degrees.

                                   A pair of adjacent angles is said to be a linear pair if the total of the two angles' (measured) angles is 180°. This means that a linear pair of angles always adds up to 180°. The linear pair of 30°, for instance, is 150°; the linear pair of 70°, 110°; etc.

∠JZF or ∠HZG

Linear pairs form supplementary angles.

 ∠AZJ = ∠AZH - ∠HZA

           = 90° - 38°

  ∠AZJ = 52°

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Answer:

5x1x5=712343x12x67=800

Step-by-step explanation:

Answer:

y = 5x

Step-by-step explanation:

y = water used (gal)

t = time (min)

y = 5x

This means for every minute, 5 gallons of water is used

The given function [tex]y=x^2 - 6x - 7[/tex] describes the graph A.

What is function?

In mathematics, a function is a relation between a set of inputs (the domain) and a set of possible outputs (the codomain) with the property that each input is related to exactly one output.

We can solve this Function by substituting the 0 for Y.

To find the value of x when y is equal to 0, we can substitute 0 for y in the equation and solve for x:

[tex]0 = x^2 - 6x - 7[/tex]

To solve for x, we can use the quadratic formula:

x = (-b ± [tex]\sqrt{(b^2 - 4ac)}[/tex]) / 2a

In this case, a = 1, b = -6, and c = -7. Substituting these values into the formula, we get:

x = (-(-6) ± [tex]\sqrt {((-6)^2 - 4(1)(-7)}[/tex])) / 2(1)

Simplifying:

x = (6 ± [tex]\sqrt{64}[/tex]) / 2

x = (6 ± 8) / 2

x = 7 or x = -1

Therefore, when y is equal to 0, x can be either 7 or -1.

Therefore the given function describes the graph A.

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The number of hours Cora's friend paint in total is found to be - twenty-one fifths.

The components of a whole or group of items are represented by fractions. A fraction consists of two components. The numerator is the figure at the top on the line.

Three-fifths of an hour was spent by Cora painting.

= 3/5 of hour

Her companion spent seven times as long painting.

= 7 * 3/5 of hour

= 21 /5  of hour

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Answer:

13/5

Step-by-step explanation:

2*5=10

3+10=13

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathtt{2\dfrac{3}{5}}\\\\\mathtt{= \dfrac{2\times5 + 3}{5}}\\\\\mathtt{= \dfrac{10 + 3}{5}}\\\\\mathtt{= \dfrac{13}{5}}\\\\\\\huge\text{Therefore your answer should be:}\\\\\huge\boxed{\mathtt{\dfrac{13}{5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

The lowest common multiple 3 and 4 is 12.

Step-by-step explanation:

The total multiples of both 3 and 4 between 1 - 100 are 100/12 = 8 4/12 i.e. 8.