Answer: The required value of A² is 9.
Step-by-step explanation: We are given the following value of a variable A :
[tex]A=-3.[/tex]
We are to find the value of [tex]A^2.[/tex]
To evaluate [tex]A^2,[/tex] we need to multiply A and A.
Therefore, the evaluation is as follows :
[tex]A^2=A\times A=(-3)\times(-3)=9.[/tex]
Thus, the required value of A² is 9.
Write the function y = 3(x - 1)2 + 2 in standard form.
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.
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.
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).
Find the value of d in the triangle
d = 3/ sin(15)
d= 11.5911 feet
round answer as needed
What's the next three terms of the following sequence 160,136,112,88
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
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
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 ^_^
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!
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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Evaluate the following expression. 5^-1/5^0
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.
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
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 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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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.
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
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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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.
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
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?
How do you factor: 12x^2-4x-40
A 9-ft light pole casts a 15-ft shadow. Find thw height of a nearby tree that is cadtinh a 40-ft shadow.
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?
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
What is 7,130 divided by 86?