Evaluate the following expression. 5^-1/5^0
Write the function y = 3(x - 1)2 + 2 in standard form.
in the chorus there 12 more girl than boys there 32 student in chorus how many boys are there and how many girls are there
Jana is thinking of a number. If she divides her number by 12 and then multiplies the quotient by 8, the result is 520. What number is Jana thinking of?
Considering the one-time deposit and monthly rent, the equation y=1200+400x can be used to represent y, the total cost of renting an apartment for x months. What is the amount of the deposit?
A. $30
B. $400
C. $800
D. $1200 <--- My answer ( Check this please ^_^
if a and b are the measures of two first quadrant angles and sin a = 4/9 and sin b = 2/5 find sin (a+b)
The sine of the sum of two angles a and b, with sin a = 4/9 and sin b = 2/5, is calculated using the sine addition formula and is approximately 32.24/45.
To find sin(a+b) when given sin a = 4/9 and sin b = 2/5, we use the sine addition formula:
sin(a+b) = sin(a)cos(b) + cos(a)sin(b)
Since we have the sine values, but not the cosine values, we need to find cos(a) and cos(b). Knowing that [tex]sin^2(\theta) + cos^2(\theta) = 1[/tex]for any angle theta, we can find the cosines:
For cos(a): [tex]cos^2(a) = 1 - sin^2(a) = 1 - (4/9)^2 = 1 - 16/81 = 65/81[/tex]. So, [tex]cos(a) = \sqrt{(65/81)} = 8/9[/tex] (since a is in the first quadrant where cosine is positive).For cos(b): [tex]cos^2(b) = 1 - sin^2(b) = 1 - (2/5)^2 = 1 - 4/25 = 21/25[/tex]. So, cos(b) = [tex]\sqrt{(21/25)}= 4.6/5[/tex] (since b is in the first quadrant where cosine is positive).Now, we plug these values into the formula:
sin(a+b) = (4/9)(4.6/5) + (8/9)(2/5) = 16.24/45 + 16/45 = 32.24/45
Thus, the sine of the sum of the two angles a and b is approximately 32.24/45.
The cruise control function on Georgina's car should keep the speed of the car within 3 miles per hour of the set speed. The set speed is 55 miles per hour. Write a compound inequality to show the leaves that are within each range. Then graph the solutions.
Answer:
Given,
Set speed of car = 55,
∵ The speed of the car within 3 miles per hour of the set speed.
So, the maximum speed of car = 55 + 3,
And, the minimum speed of car = 55 - 3
Let x shows the current speed of car,
x ≤ 55 + 3 or x ≥ 55 - 3
x - 55 ≤ 3 or x - 55 ≥ - 3
x - 55 ≤ 3 or -(x-55) ≤ 3
⇒ | x-55 | ≤ 3
Which is the required compound inequality,
Now, 55 - 3 ≤ x ≤ 55 + 3
52 ≤ x ≤ 58
⇒ [52, 58]
Which is the solution of the above compound inequality.
Also, the graph is shown below.
the perimeter of a square picture frame is 48 inches. one side length of the frame is 30.48 centimeters. how many centimeters are in an inch?
The answer is 2.54 centimeters but i need help with my work
How do you factor: 12x^2-4x-40
Over the past ten years, the town's population doubled in size. The population is currently 12,000. What was the population ten years ago?
Which of the following represents the given word problem if "P" represents the population ten years ago?
Determine the 3-day sma for the ten consecutive day closing prices of sprint nextel corp listed below. $7.78, $8.08, $7.99, $8.02, $7.89, $8.72, $9.19, $9.16, $8.98, $9.38
Answer:
Step-by-step explanation:
The 3-day moving average is the average 3 number moiving one place each time.
The 3-day sma for the ten consecutive day closing prices is given by of sprint nextel corp:
(1st day price + 2nd day price + 3rd day price) / 3 = ($7.78 + $8.08 + $7.99) / 3 = $23.85 / 3 = $7.95
(2nd day price + 3rd day price + 4th day price) / 3 = ($8.08 + $7.99 + $8.02) / 3 = $24.09 / 3 = $8.03
(3rd day price + 4th day price + 5th day price) / 3 = ($7.99 + $8.02 + $7.89) / 3 = $23.90 / 3 = $7.97
(4th day price + 5th day price + 6th day price) / 3 = ($8.02 + $7.89 + $8.72) / 3 = $24.63 / 3 = $8.21
(5th day price + 6th day price + 7th day price) / 3 = ($7.89 + $8.72 + $9.19) / 3 = $25.80 / 3 = $8.60
(6th day price + 7th day price + 8th day price) / 3 = ($8.72 + $9.19 + $9.16) / 3 = $25.80 / 3 = $27.07 / 3 = $9.02
(7th day price + 8th day price + 9th day price) / 3 = ($9.19 + $9.16 + $8.98) / 3 = $27.33 / 3 = $27.33 / 3 = $9.11
(8th day price + 9th day price + 10th day price) / 3 = ($9.16 + $8.98 + $9.38) / 3 = $27.33 / 3 = $27.52 / 3 = $9.17
Therefore, the 3-day sma for the ten consecutive day closing prices of sprint nextel corp are $7.95, $8.03, $7.97, $8.21, $8.60, $9.02, $9.11, $9.17
Suppose that you have he option to buy an item with either cash or credit. Under which condition would you use credit?
Answer:
If you want to build a good credit history
Step-by-step explanation:
Buying something in order to build a good credit history does not benefit in the short run such as any financial or non-financial benefit.
However, when need arises to make request for a large sum of loan in the long run (such as buying house, purchasing vehicle or capital for investing in business) from the financial institution or any other credit providers, then the good credit history would be winning key factor for obtaining the loan.
How to multiply a whole number into a fraction?
The penny size d is given by the literal equation d = 4n - 2, solve for n
Find the perimeter of the polygon with the vertices g(2, 4), h(2,−3), j(−2,−3), g(2, 4), h(2,−3), j(−2,−3), and k(−2, 4)k(−2, 4).
If a person puts 1 cent in a piggy bank on the first day, 2 cents on the second day, 3 cents on the third day, and so forth, how much money will be in the bank after 40 days? $8.20 $16.40 $0.40 $4.10
What is 7,130 divided by 86?
what is the area of a circular mirror with a radius of 10 cm?
Final answer:
The area of a circular mirror with a radius of 10 cm is calculated using the formula πr², which results in an area of 314.16 cm².
Explanation:
The area of a circular mirror can be calculated using the formula πr², where π (pi) is approximately 3.1416 and r is the radius of the circle. Given the radius of the circular mirror as 10 cm, we can substitute this value into the formula to find the area.
Area = π × (10 cm)²
A = 3.1416 × 100 cm²
A = 314.16 cm²
Therefore, the area of the circular mirror is 314.16 cm².
Subtract the polynomials: (3x2 + 2x + 4) - (x2 + 2x + 1). Enter your answer as a polynomial in descending order below, and use the caret (^) for exponents. For example, you would write as 4x^2.
Find the value of d in the triangle
d = 3/ sin(15)
d= 11.5911 feet
round answer as needed
Why is it important to take note of skipped check numbers?
A. Skipping a check wastes the check and will end up costing money.
B. Locating skipped checks helps to identify where the fees come from.
C. Skipped checks were written for more money than was available in the account.
D. A skipped check has not been cashed or deposited.
Answer:
D. A skipped check has not been cashed or deposited.
Step-by-step explanation:
We can say that a skipped check number means the check has not been cashed yet.
If we see the check book and there is a gap between the check numbers that you have written, then that means the missing number checks are not processes yet. The processing can be depositing or withdrawing/cashing.
So, the correct answer here is D. A skipped check has not been cashed or deposited.
Help In Math Please!!
The graphic shows the average number of points scored per game for ten players in the NBA.
What is the interquartile range (IQR) of the data set.
A) 1.1
B) 4.9
C) 6.9
D) 9.8
Answer:
The other answer for USA TP is 26.25
Step-by-step explanation:
The mean is the average of the numbers.
29.8 + 29.6 + 28.9 + 27.1 + 26.4 + 25.5 + 24.5 + 24.0 + 23.8 + 22.9
10
= 26.25
if you live in Dallas then you live in Texas what is the biconditional of this
The biconditional of the statement 'If you live in Dallas then you live in Texas' is 'You live in Dallas if and only if you live in Texas'. This means that living in Dallas is both necessary and sufficient for living in Texas.
Explanation:The biconditional of the statement 'If you live in Dallas then you live in Texas' would be 'You live in Dallas if and only if you live in Texas'. In other words, living in Dallas is both necessary and sufficient for living in Texas. This means that if one condition is true, then the other must also be true. Similarly, if one condition is false, then the other must also be false. A biconditional statement essentially equates the truth of two conditions.
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Laura drove to the mountains last weekend. there was heavy traffic on the way there, and the trip took 8 hours. when laura drove home, there was no traffic and the trip only took 6 hours. if her average rate was 16 miles per hour faster on the trip home, how far away does laura live from the mountains
To find the distance Laura lives from the mountains, calculate her average speed when driving to the mountains and use the time taken during the trip. With the given speeds and travel times, the distance can be determined using a simple equation.
Explanation:To find the distance Laura lives from the mountains:
Let x be Laura's average speed when driving to the mountains.Since Laura drove 16 mph faster on the way home, her speed returning was x+16 mph.Distance to mountains = x * 8 (hours) and distance from mountains = (x+16) * 6 (hours).Set up the equation: x * 8 = (x+16) * 6 to solve for x.Once x is found, the distance Laura lives from the mountains can be calculated as x * 8.
What is 7 more than five times the number 9 divided by 15?
Answer:
7 more than five times the number 9 divided by 15 is, 10
Step-by-step explanation:
As per the statement:
7 more than five times the number 9 divided by 15
"five times the number 9" translated to [tex]5 \times 9 = 45[/tex]
"five times the number 9 divided by 15" translated to [tex]\frac{45}{15} = 3[/tex]
then;
"7 more than five times the number 9" divided by 15 means 7 + 3 = 10
Therefore, 7 more than five times the number 9 divided by 15 is, 10
Answer:
10
Step-by-step explanation:
Hope this helps!
Solve the literal equation 2a-b=8b-4a for a
Write an equation that represents degrees fahrenheit in terms of degrees celsius. let xx represent the temperature in degrees celsius and let yy represent the temperature in degrees fahrenheit.
An equation is formed of two equal expressions. An equation that represents degrees Fahrenheit in terms of degrees celsius is y=(9/5)x+32.
What is an equation?
An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The equation to covert degrees fahrenheit to degrees celsius is given as,
(C × 9/5) + 32 = F
where C represents temperature in degrees Celcius and F represents the temperature in degrees Fahrenheit.
Now, we need to represent the degree Celcius by x, while the degree Fahrenheit by y. Therefore, the above equation can be rewritten as,
y = (x × 9/5) + 32
y = (9/5)x + 32
Hence, an equation that represents degrees Fahrenheit in terms of degrees celsius is y=(9/5)x+32.
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A 9-ft light pole casts a 15-ft shadow. Find thw height of a nearby tree that is cadtinh a 40-ft shadow.
What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.
What's the next three terms of the following sequence 160,136,112,88