Evaluate the following expression. 5^-1/5^0
How do you factor: 12x^2-4x-40
How to multiply a whole number into a fraction?
What integer is equivalent to 25 3/2
Answer: 13
25 3/2 = 26.5
26.5 is basically 26 1/2
26 1/2 = 13
The penny size d is given by the literal equation d = 4n - 2, solve for n
What is 7,130 divided by 86?
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.
Staci has 7 more cats than Taylor. Write an expression that illustrates how many cats Staci has. use x to represent the number of cats that Taylor has
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.
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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What is the measure of DG?
In circle D, mGEC is 230 degrees
What is the measure of GDC?
what is the measure of AC?
Segment CO is congruent to segment HZ
which congruence statement is true?
A. OZ is congruent to CO
B. CH is congruent to COZ
C. CH is congruent to HZO
D. CO is congruent to HZ
in circle K, what is the value of x?
A. x=30
B. x=25
C. x=20
D. x=15
It can be deduced that the value of angle GDC is 110°.
How to calculate the anglesThe value of minor arc DG will be;
= 2 × 55°
= 110°
The value of AC will be:
= 230° + AC = 360°
AC = 360° - 230°
AC = 130°
Lastly, since segment CO is congruent to segment HZ, CO is congruent to HZ.
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what factors do 28 and 44 have in common?
Factors that 28 and 44 have in common are 1, 2, and 4.
Factors that 28 and 44 have in common:
1. List of Factors for 28:
1, 2, 4, 7, 14, 28
2. List of Factors for 44:
1, 2, 4, 11, 22, 44
Common Factors: 1, 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
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
What is the length of line RS? Use the law of sines to find the answer.Round to the nearest tenth.
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.
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 ^_^
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's the next three terms of the following sequence 160,136,112,88
When using the substitution method to solve a nonlinear system of equations, you should first see if you can _____ one variable in one of the equations in the system?
If an item is 1/3 off, to calculate the final price simply divide the original price by 3. true or false
Answer:
False.
Step-by-step explanation:
If an item is [tex]\frac{1}{3}[/tex] off thats how much you are not paying from the original price of the item, to calculate how much are you paying after the disccount you can do 2 things.
The first one is multiplying the price by [tex]\frac{1}{3}[/tex] and then substracting that from the original price, that will give you the final price.
Or you can simply multiply the original price by 2/3 which is what you have to pay for the item in terms of fractions, and you´d get the final price.
A plant has a height of 8 1/4 inches what is the height of the plant after it grows 1 7/8 inches?
The height of the plant after it grows 1 7/8 inches is 81/8 inches.
Explanation:To find the height of the plant after it grows 1 7/8 inches, we need to add 1 7/8 to the current height of 8 1/4. First, we can convert 8 1/4 to an improper fraction by multiplying the whole number (8) by the denominator (4) and then adding the numerator (1). This gives us 33/4 inches. Next, we can add 1 7/8 by finding a common denominator (8) and adding the numerators (1+7=8). So, 1 7/8 is equivalent to 15/8. Adding 33/4 and 15/8, we first need to find a common denominator which is 8. Multiplying the numerator and denominator of 33/4 by 2 gives us 66/8. Now, we can add 66/8 and 15/8 to get a total of 81/8 inches. Therefore, the height of the plant after it grows 1 7/8 inches is 81/8 inches.
Final answer:
After adding the growth of 1 7/8 inches to the original plant height of 8 1/4 inches, the new height of the plant is calculated to be 10 1/8 inches.
Explanation:
To calculate the new height of the plant after it grows an additional 1 7/8 inches, we simply need to add this growth to the plant's original height of 8 1/4 inches. The sum of these two measurements will give us the plant's total height.
Begin by converting the mixed numbers to improper fractions to make addition easier: 8 1/4 inches becomes 33/4 inches and 1 7/8 inches becomes 15/8 inches. Next, find a common denominator and add the two fractions.
Common denominator for 4 and 8 is 8.Convert 33/4 to an equivalent fraction with a denominator of 8, which is 66/8.Add 66/8 inches and 15/8 inches.(66/8) + (15/8) = 81/8 inches.Now, convert the improper fraction back to a mixed number to determine the plant's new height:
81 divided by 8 is 10 with a remainder of 1.So, 81/8 inches is equal to 10 1/8 inches.Therefore, after growing an additional 1 7/8 inches, the plant's new height is 10 1/8 inches.
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
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).
Tahmar knows the formula for simple interest is I = Prt, where I represents the simple interest on an amount of money, P, for t years at r rate. She transforms the equation to isolate P : P = i/pie . Using this formula, what is the amount of money, P, that will generate $20 at a 5% interest rate over 5 years?
r= 5% = 0.05
t = 5 years
I= 20
P=20÷(0.05×5)
P=$80
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!
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?
Write the function y = 3(x - 1)2 + 2 in standard form.
ello guys pls help with me with this ques
Find the value of d in the triangle
d = 3/ sin(15)
d= 11.5911 feet
round answer as needed