find the value of n such that x^2-19x+n is a perfect square trinomial.
Answer:
1st option
Step-by-step explanation:
x² - 19x + n
using the method of completing the square
add ( half the coefficient of the x- term )² to x² - 19x
x² + 2(- [tex]\frac{19}{2}[/tex] )x + (- [tex]\frac{19}{2}[/tex] )²
with n = (- [tex]\frac{19}{2}[/tex] )² = [tex]\frac{361}{4}[/tex] , then
(x - [tex]\frac{19}{2}[/tex] )² ← a perfect square trinomial
A swimming pool is shaped like a right rectangle prism. the pool is 36 ft long and 20 ft wide. What is the total amount of water in cubic ft,needed to fill tje pool to a depth 4 ft.
Answer:
2880 ft³
Step-by-step explanation:
T o find the total amount of water that is needed to fill the pool, you have to find the volume of the pool.
Formula to find the volume of a rectangle prism is :
Volume = length × width × height
Let us solve now.
Volume = length × width × height
Volume = 36 ft × 20 ft × 4 ft
Volume = 2880 ft³
Therefore, 2880 ft³ of water is needed to fill the pool.
PLEASE HELP 20 POINTS AND BRAINLIEST
Answer:
5/6, 0.83 or 83%
Step-by-step explanation:
Answer:
Probabilities
Decimal: [tex]0.91[/tex]
Fraction: [tex]\frac{91}{100}[/tex]
Percentage: [tex]91[/tex]%
Step-by-step explanation:
Writing out information
2 comedy CDs
3 science-fiction CDs
7 adventure CDs
10 random CDs
22 total CDs
The chosen CD is not a comedy.
Solving probability for each
Decimals rounded to nearest 100th
Comedy:
[tex]2:22\\0.09\\\frac{2}{22}[/tex]
Science-fiction:
[tex]3:22\\0.14\\\frac{3}{22}[/tex]
Adventure:
[tex]7:22\\0.32\\\frac{7}{22}[/tex]
Random:
[tex]10:22\\0.45\\\frac{10}{22}[/tex]
Finding the total of the non-comedy
[tex]0.14+0.32+0.45=0.91[/tex]
[tex]0.91=91[/tex]%
Conclusion
Probabilities
Decimal: [tex]0.91[/tex]
Fraction: [tex]\frac{91}{100}[/tex]
Percentage: [tex]91[/tex]%
Find the secant of ZI.
H
80
89
39
Answer:
See below
Step-by-step explanation:
[tex] \sec \: I = \frac{HI}{IJ} \\ \\ \implies \: \sec \: I = \boxed{\frac{89}{39} }[/tex]
50 PTS PLS HELP! Data Set 1 has a mean of 152.7 and a MAD of 2.5.
Data Set 2 has a mean of 170.2 and a MAD of 1.7.
What can be concluded about the two distributions?
Select each correct answer.
The means-to-MAD ratio is 10.
The distributions are different.
The distributions are somewhat similar.
The means-to-MAD ratio is 7.
I need help ya'll please:)
Answer:
Step-by-step explanation:
Please take a clearer picture couldnt read it well
A certain laptop is really popular and sells for $209. Since sales are so good, the store raises the price by 12%. What is the cost of the laptop after the markup?
The graph shows a wolf population which has been growing exponentially.
200
160
120
uonejndod yjom
80
40
5
years since population was measured
a. What was the population when it was first measured?
Type the answer in the box below.
b. By what factor did the population grow in the first year?
Type the answer in the box below.
PART A: 100 wolves population
PART B: 6/5
Answer:
Part A: 100 wolves population.
Part B:6/5
Step-by-step explanation:.
Given that log Cart 2) + log, b=0 and ing (a-2) 16g, b=actl Show = "feetfiad Metult possible velers of a cand is where a, b er (a that 92 442480 an 2 it soln
Answer:
12+12 log2) b=34) 54+90)=10000+32+54=9000
Step-by-step explanation:
I know the answer I am a math tutor at Elomantry High Scholl Teaching for 6 years now
30 POINTS FOR THE BRAINLIEST!!! Find the indicated measures, given that
EA is a diameter.
a) mDEF=
b) mEFG=
c) mAC=
d) Explain how you found each angle measure below. Be sure to show all of your work.
6) Out of 15 students only 10 passed the geography scam. Write the fraction of students
Who failed in the geography cam.
the last answer is 35 I just could not fit it in the pic
Utilize graphing to find the solution to
the following system of equations.
y = x-7 AND y = -x + 1
([?], [])
Enter
Answer:
(4, -3)
Step-by-step explanation:
To solve this with graphing all you need to do is enter both equations in a graphing calculator (you can use desmos online) and then find the point where both lines intersect.
What is the solution to the following equation?
x^2 + 5x + 7 = 0
A. x = -5±√-3 /2
B. x = -5±√53 /2
C. x = -3±√-7 /2
D. x = 3±√25 /2
Answer:
A
Step-by-step explanation:
using the quadratic formula
in the picture above
7 raise to -2 x 3 raise to 2 = 3by7 raise to 4x
7^-2 x 3^2 = 3 x 7^4x should be your equation.
Exact form: x = 3/117649Evaluate the exponentEvaluate the exponentMultiply the numbersEvaluate the exponentMultiply the numbersDivide both sides by the same factorSimplifyDecimal form: x = 2.54995792 • 10^5I don't know if this is what you were looking for but I hope it helps.
Frank got a gift for his sister and put it in a shoebox.
+
Note: Figure is not drawn to scale.
Now, he wants to wrap it with wrapping paper. If the length of the shoebox measures 10 in, the width measures 5 in, and the height
measures 4 in, how much wrapping paper does he need to cover the shoebox?
OA 330 sq in
ОВ.
110 sq in
OC. 440 sq in
OD. 220 sq in
Answer:
200
Step-by-step explanation:
Length times width to get the base 10 x 5 = 50 With the base multiply it by the height to get 50 x 4 = 200
to the nearest tenth what is the circumference of a bicycle tire with a radius of 11 inches? use 3.14 for pi
Step-by-step explanation:
Radius = 11 inches
⇒ Circumference = 2πr
⇒ Circumference = (2 × 3.14 × 11) inches
⇒ Circumference = 69 inches
How is 1-n/2n-2 written in lowest terms
Answer:
- 1/2
Step-by-step explanation:
I assume this is (1-n) / (2n-2)
(1-n) / (-2)(1-n)
-1/2
Determine the number of solutions of each system of equations.
Answer:
no solutions
Step-by-step explanation:
x+y = 5
-2x-2y = 10
Multiply the first equation by 2
2x+2y =10
Add this to the second equation
2x+2y =10
-2x-2y =10
0 =20
This is not true so there are no solutions
what is the difference between 3/4 and 2 1/4
Answer:
3/4 simplified is 3/4 but when 2 1/4 is simplified it is 9/4. Off the bat we know there is a big difference. Also, 2 and 1/4 is irrational and 3/4 and rational.
In each circle, find the value of x. Please help
Answer:
x = 47°
Step-by-step explanation:
First see that Angle W is 90°. Either because T is the center and LS is a diameter. Or because Arc LCS is 180° so Angle W is half that = 90°
Then, see Triangle WSL. The angles in a triangle add up to 180°
90° + x + x-4 = 180°
Subtract 90°
x + x - 4 = 90
Combine the x's
2x - 4 = 90
Add 4
2x = 94
Divide by 2.
x = 47
What is the geometric mean of 25 and 2
Answer:
Geometric Mean of 2 and 25: 7.0711What is the volume of this cone?
Use a = 3.14 and round your answer to the nearest hundredth
13 mm
6 mm
how do i get the answer
Pi times radius squared times (height÷3)
if radius is 6 then 490.09
if radius is 13 then 1061.86
What is the amplitude of the function? Identify the amplitude of a periodic function from its graph. 4 3 2 1
The amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
What is a function?It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a graph of a function(refer to attached picture)
We know the amplitude of the function is given by:
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |max \ f -min \ f|[/tex]
As we can see in the graph the maximum value is 0 and
the minimum value of a function is -4, thus the amplitude
[tex]\rm Amplitude \ of \ f \ = \frac{1}{2} |0 -(-4)|[/tex]
The amplitude of f = 2
Thus, the amplitude of a periodic graph of a function is 2 because the amplitude of the function is half of the difference between the maximum and minimum values of a function.
Learn more about the function here:
brainly.com/question/5245372
#SPJ1
The weight of a blue whale is about 250,000 pounds. Write this number in scientific notation
Answer:
250÷50=3 because I have a great day and I will be in the 3 1 4 a few days ago a friend of ours was the only thing
Step-by-step explanation:
yes maybe no more options visit in the future please reply with your family
Rewrite the fraction with the indicated denominator.
Answer:
I believe the answerwould be 18/21.
Please let me know if I'm correct!
Hope this helps you!
Hey there!
6/7 = ?/21
= 6/7 = x/21
CROSS MULTIPLY the FRACTION
6(21) = x(7)
6(21) = 7(x)
126 = 7x
7x = 126
DIVIDE 7 to BOTH SIDES
7x/7 = 126/7
CANCEL out: 7/7 because it give you 1
KEEP: 126/7 because it help solve for the x-value
NEW EQUATION: x = 126/7
SIMPLIFY IT!
x = 18
Therefore, your answer is: 18
BECAUSE 18/21 is equivalent to 6/7 and they both give you approximately 86% (or simply 0.86) if you’re rounding your percentage/decimal form
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
PLEASE ANSWER AS SOON AS POSSIBLE WILL GIVE BRAINLESS TO THE FIRST CORRECT PERSON!!!
Find the values of x and y. Write your answers in the simplest form.
Answer:
Around x = 3 y = 6
Step-by-step explanation:
I'm not sure if you need to round to the nearest whole or hundreth or tenth
what is the percent increase from 18 to 26
An empty container in the shape of a cube 6 inches deep is filled with plastic cubes.
How many plastic cubes measuring 1 inch across each face will it take to fill the
container?
Enter your answer in the box.
The right answer would be 216
1) 6*6=36
2)36*6=216
NEED HELP WITH THIS MATH PROBLEM QUICK!!!
Answer:
[tex]\implies m\angle A =42\degree[/tex]
Step-by-step explanation:
Quadrilateral ABCD is inscribed in circle with center O.
-> Quadrilateral ABCD is cyclic.
Opposite angles of a cyclic quadrilateral are supplementay.
[tex]\implies m\angle B + m\angle D = 180\degree[/tex]
[tex]\implies (2x)\degree + (3x-5)\degree = 180\degree[/tex]
[tex]\implies (5x-5)\degree = 180\degree[/tex]
[tex]\implies 5x-5= 180[/tex]
[tex]\implies 5x= 185[/tex]
[tex]\implies x= \frac{185}{5}[/tex]
[tex]\implies x= 37[/tex]
[tex]\implies m\angle A =(x+5)\degree[/tex]
[tex]\implies m\angle A =(37+5)\degree[/tex]
[tex]\implies \huge{\orange{m\angle A =\boxed{42}\degree}}[/tex]