What number must you add to x² + 16x = 3 to complete the square 64: Option C
What is a perfect square?You should be aware that a perfect square is a term that has two common factors
The given equation is x² + 16x = 3
To make the equation a perfect square, Add the square of half of the coefficient of s to both sides
This is to say that (16/2)² = 8² = 64
The equation becomes x²+16x+64 = 3+64
Then you can factorize the equation and simplify the right hand side
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Graph the following features:
Slope =-3/5
Y-intercept = 3
Answer:
ummm how about noooooooooooooooooo
What value would make the equation 8x = -72 true?
Answer:x= -9
Step-by-step explanation: You would dive both sides by 8 and -72 divided by 8 is -9
Answer:-9
Step-by-step explanation:
The answer is -9 because we are solving to get x by itself. Since 8 is being multiplied by x the opposite of multiplication is division. Divide both sides by 8 to get x by itself. -72 divided by 8 is -9 because a negative divided or multiplied by a positive is a negative. To check your work you can do 8 times -9 which equals -72.
Please help me lol ......................
Answer:
A
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
simple logic
Simplify the expression 10 + 2(n + 5) + 4n
Answer:
6n + 20
Step-by-step explanation:
10 + 2n + 10 +4n
6n +20
Answer:
[tex]10 + 2n + 10 + 4n \\ 6n + 20 \\ 2(3n + 10)[/tex]
Please help, I have been stuck for a while, it is about trig.
Answer: x=28, y=14
Step-by-step explanation:
This article gives the formula for finding the sides of a 30-60-90 triangle. https://blog.collegevine.com/complete-guide-30-60-90-triangle/
The gist of it is that the hypotenuse is 1, the short side is 2, and the long side is root3. Since there was a 14 with the root3, I multiplied the 1 and 2 for the other sides by 14 to get 28 and 14.
Helppp please on this question
Answer:
Answer h = 34 i hope it is helpful have a nice day
Answer:
h = 34
Step-by-step explanation:
64 = h + 30
64-30 = h
34 = h
h = 34
A theater owner wants to provide enough seating for 928 people. The main floor has 25 rows of 22 seats in each row. If the balcony has 21 rows, how many seats must be in each row to satisfy the owner’s seating requirements?
Answer:
18 seats in each row
Step-by-step explanation:
25 x 22 = 550
928 - 550 = 378
378 / 21 = 18
A developer has 24.5 acres of land. She buys an adjacent plot of land and increases the total
acreage she owns by 20%. Circle the numbers that make the statements true.
Answer:
The developer bought 4.9 acres of land, increasing its property to 29.4 acres.
Step-by-step explanation:
Given that a developer has 24.5 acres of land, and she buys an adjacent plot of land and increases the total acreage she owns by 20%, to determine the amount of acres she bought and the total acres she now owns, the following calculations must be done:
24.5 x 1.2 = 29.4
24.5 x 0.2 = 4.9
Thus, the developer bought 4.9 acres of land, increasing its property to 29.4 acres.
The polynomial 10x3 + 35x2 − 4x − 14 is factored by grouping.
10x3 + 35x2 − 4x − 14
5x2(____) − 2(____)
What is the common factor that is missing from both sets of parentheses?
−2x − 7
2x + 7
−2x2 + 7
2x2 + 7
5x2( 2x + 7 ) − 2( 2x + 7 ) that's it.
Answer:
b
Step-by-step explanation:
What is the final cost of an item priced at $5.70 after a 7% sale tax is applied
Answer:
the total is $6.10 once applied
and the sale tax is $0.40
Step-by-step explanation:
Expand t (4t - 4 ) answer if you can plz
Answer:
42−4
Step-by-step explanation:
Answer:
4t^2 −4t
Step-by-step explanation:
t(4t−4)
Use the distributive property to multiply t by 4t−4.
4t^2 −4t
the difference of p and 7 is 30
Answer:
p = 37
p- 7=30
add seven to both sides and you get
p=37
ANSWER CORRECTLY WITH REASONING FOR BRAINLIEST
Jaya wants to find out what type of art her fellow students enjoy the most. She asks her classmates: "What is your favorite type of art?"
This question is biased.
True
False
Answer:false
Step-by-step explanation:because jaya is not giving her opinion she is asking for others opinions.
hhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhhh
Answer:
they all go straight across
Step-by-step explanation:
Answer:
Go across from each
Step-by-step explanation:
Which of the figures appear to to congruent
Answer:
C.
Step-by-step explanation:
FASTTTTTTTTTTTTTTTTTTTTTT 50 POINTS +BRAINLIEST
Answer:
[tex]\huge\boxed{\sf Option \ 2}[/tex]
Step-by-step explanation:
[tex]\sf (\frac{4}{5})^3 \\\\[/tex]
This means that 4/5 repeats itself 3 times.
So,
[tex]\sf = \frac{4}{5} * \frac{4}{5} * \frac{4}{5} \\\\= \frac{64}{125} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Answer: Choice 2: 4/5 • 4/5 • 4/5 = 64/125
Step-by-step explanation: The exponent tells you how many times you have to multiply the 4/5. Since the exponent is 3, we know to multiply 4/5 with itself 3 times, like this: 4/5 • 4/5 • 4/5, which will get us 64/125
Seven clowns hold 4 balloons each at the fair. Draw and label a tape diagram to show the total number of balloons the clowns hold.
Answer:
7 times 4 which is 28 at each fair.
0 + 12 and 0 *
O Yes; Identity Property
O Yes; Associative Property
O Yes; Commutative Property
O Yes; Inverse Property
O Expressions are not equal
Answer:
Yes; Identity Property..
I hope it helps...
A ship caption is mapping
Exercise 3.62. A little boy plays outside in the yard. On his own he would come back inside at a random time uniformly distributed on the interval [0, 1]. (Let us take the units to be hours.) However, if the boy is not back inside in 45 minutes his mother brings him in. Let X be the time when the boy comes back inside (a) Find the cumulative distribution function F of X (b) Find the mean E(X) (c) Find the variance Var(X) Hint. You should see something analogous in Examples 3.20 and 3.38.
a) The cumulative distribution function F of X is: F(x) = P(X ≤ x) = 1
b) The mean E(X) is: E(X) = 0.5 hours.
c) The variance Var(X) is: the variance of X is approximately 0.0833 hours².
To find the cumulative distribution function (CDF) of X, we need to consider two cases: when the boy comes back inside before 45 minutes and when the boy is brought inside by his mother after 45 minutes.
(a) Cumulative Distribution Function (CDF) F of X:
For 0 ≤ x < 0.75 (when the boy comes back inside before 45 minutes):
Since the boy comes back inside uniformly distributed on the interval [0, 1], the CDF is simply the probability that the boy comes back inside before time x.
The probability of the boy coming back inside before x is equal to x, as it is a uniform distribution.
F(x) = P(X ≤ x) = x
For 0.75 ≤ x ≤ 1 (when the mother brings the boy inside after 45 minutes):
If the boy is not back inside at 45 minutes (0.75 hours), his mother brings him inside.
Therefore, the probability of the boy coming back inside before x in this case is 1.
F(x) = P(X ≤ x) = 1
(b) Mean (Expected Value) E(X):
The expected value of X, denoted by E(X), is the average time the boy spends outside before coming back inside.
For a uniform distribution on the interval [0, 1], the expected value is the midpoint of the interval.
Therefore, E(X) = (1 + 0) / 2 = 0.5 hours.
(c) Variance Var(X):
The variance of X, denoted by Var(X), measures the spread or variability of the random variable X around its mean.
For a uniform distribution on the interval [0, 1], the variance is given by:
Var(X) = (1² - 0²) / 12 = 1 / 12 ≈ 0.0833 hours²
So, the variance of X is approximately 0.0833 hours².
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What is the slope of the line X=-3?
Answer:
undefined
Step-by-step explanation:
Answer:
The slope is undefined
Step-by-step explanation:
#4 Find the value of x and y 34° 109° x and y
Explain how to use the Pythagorean Theorem to find the missing length of a right triangle.
Pythagorean theorem.
a^2+b^2=c^2
This means that the square of the length of the 2 legs of a right triangle added together = the square of the length of the hypotenuses or diagonal.
If you know 2 of the values in the 3 variables a,b,c what would you do to find the missing variable value?
I will not write the exact answers to this problem. I think you can figure how to write it out yourselves.
At a school, 153 students play at least one sport. This is 75% of the students at the school. How many students are at the school?
Answer:
204 people
Step-by-step explanation:
i used a calculator
change the following improper to mixed plz help quick!
1. 8/3
2. 9/4
3. 12/5
Answer:
Improper Fractions:
Step-by-step explanation:
1. 2 and 2/3
2. 2 and 1/4
3. 2 and 2/5
A major fishing company does its fishing in a local lake. The first year of the company's operations it managed to catch 115,000 fish. Due to population decreases, the number of fish the company was able to catch decreased by 6% each year. How many total fish did the company catch over the first 20 years, to the nearest whole number?
Answer:
Rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.
Step-by-step explanation:
Given that a major fishing company does its fishing in a local lake, and the first year of the company's operations it managed to catch 115,000 fish but due to population decreases, the number of fish the company was able to catch decreased by 6% each year, to determine how many total fish did the company catch over the first 20 years, to the nearest whole number, the following calculation must be performed:
Year 1: 115,000
Year 2: 115,000 x 0.94 = 108,100
Year 3: 108,100 x 0.94 = 101,614
Year 4: 101,614 x 0.94 = 95,517.16
Year 5: 95,517.16 x 0.94 = 89,786.13
Year 6: 89,786.13 x 0.94 = 84,398.96
Year 7: 84,398.96 x 0.94 = 79,335.02
Year 8: 79,335.02 x 0.94 = 74,574.92
Year 9: 74,574.92 x 0.94 = 70,100.42
Year 10: 70,100.42 x 0.94 = 65,894.40
Year 11: 65,894.40 x 0.94 = 61,940.73
Year 12: 61,940.73 x 0.94 = 58,824.29
Year 13: 58,824.29 x 0.94 = 54,730.83
Year 14: 54,730.83 x 0.94 = 51,446.98
Year 15: 51,446.98 x 0.94 = 48,360.16
Year 16: 48,360.16 x 0.94 = 45,458.55
Year 17: 45,458.55 x 0.94 = 42,731.03
Year 18: 42,731.03 x 0.94 = 40,167.17
Year 19: 40,167.17 x 0.94 = 37,757.14
Year 20: 37,757.14 x 0.94 = 35,491.71
TOTAL: 1,360,629.60
Thus, rounded to the nearest whole number, the company caught 1,360,630 fish in total over the 20 years.
mike made 5 fewer than three times the number of bracelets that sheri made. Write an expression to represent the number of brackets mike made. then determine the number of bracelets that mike made if sheri made 12 bracelets
Answer:
the answers are in the pic
Step-by-step explanation:
The equation y = -3 is a example of linear function. Why?
Explanation:
We can rewrite y = -3 as y = 0x-3 or y = 0x+(-3)
Compare that to y = mx+b and we can see that m = 0 is the slope and b = -3 is the y intercept. The slope of 0 indicates a horizontal line.
We can think of it is as slope = rise/run = 0/1 = 0. A rise of 0 tells the reader "the graph does not go up or down at all". Every point on the line y = -3 has y coordinate of -3. Two such points are (0,-3) and (1,-3).
please help me I am horrid at math!
Answer:23 inches
Step-by-step explanation:all sides equal 23 when added togetherWhich ratio is equivalent to 17:1?
Ο Α.
A. 17
17
0 B. 34 to 2
O C. 1 through 17
D. 1 to 1