The number that we need to add is 1.5^2 = 2.25, we will get the perfect square trinomial:
(w - 1.5)^2 = 352.25
How to complete squares here?Remember that a perfect square trinomial is:
(a - b)^2 = a^2 - 2ab + b^2
Here we have the quadratic equation:
w^2 - 3w = 350
We can rewrite this as:
w^2 - 2*1.5*w = 350
Then what we need to add and subtract is 1.5^2, then we will get:
w^2 - 2*1.5*w = 350
w^2 - 2*1.5*w + 1.5^2 - 1,5^2 = 350
Grouping the first 3 terms we will get:
(w - 1.5)^2 - 1.5^2 = 350
(w - 1.5)^2 = 350 + 1.5^2
(w - 1.5)^2 = 352.25
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Which of the following is the quotient of the rational expressions shown
below? Make sure your answer is in reduced form.
7x²/2x + 6/
3х - 5/X +3
Option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.
What is a rational expression?A rational expression is the ratio of two polynomials. It looks like fractions that have variables in their denominators. A rational expression is considered simplified if there are no common factors in its numerator and denominator.
For the given situation,
The rational expression is
7x²/(2x + 6) ÷ (3х - 5)/(x +3)
⇒ [tex]\frac{\frac{7x^{2} }{2x+6} }{\frac{3x-5}{x+3} }[/tex]
In conversion of division to multiplication, we need to change the division sign to multiplication sign and reciprocal the rational expression for simplification.
⇒ [tex](\frac{7x^{2} }{2x+6} )(\frac{x+3}{3x-5} )[/tex]
⇒ [tex](\frac{7x^{2} }{2(x+3)} )(\frac{x+3}{3x-5} )[/tex]
⇒ [tex](\frac{7x^{2} }{2(1)} )(\frac{1}{3x-5} )[/tex]
⇒ [tex]\frac{7x^{2} }{6x-10}[/tex]
Hence we can conclude that option (E) 7x^2/(6x-10) is the reduced form of the rational expression is the correct answer.
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answer plz no try to hack me
Answer:
8/2
Step-by-step explanation:
So you'll want to multiply the number of keys for each by the number below them. So 2/8 has 4 "x"s, so you'll want to multiply (2/8)*4 and so on.
4*(2/8)=1
4*(3/8)=12/8=>1.5
1*(4/8)=1/2
Add those all up to get 4, which is also 8/2.
Pls help !!!! Due today
Answer:
Im not so sure but i think its the 3rd option 168cm^2
Step-by-step explanation:
With this diagram, what could be the values of m and n?
Answer:
third one m=6 and n=-4/3
Answer:
m=-3/8 n=12
Since n is a whole number, the only whole number value for n in the possible answers is 12
helpp!! plis find 4 to the x power+4 to the -x power. if os know thai 2 to the power x + 2 to the power -x =3
Answer:
166Step-by-step explanation:
Problem 2: In the AC circuit shown below, if Iz = 2ejoº A, perform the following: (a) Solve for all the other unknown voltage differences and currents indicated on the circuit. (b) Find the total impedance seen by the source. (c) Calculate the power factor of the whole circuit. (d) Evaluate the total time-average power dissipation. Useful Formulas: 7=0.5V, Palme Xpower factor = 0.5 Re(VI")=0.52. Re(z) V VA 4 HI 2 Ω -j2 Ω 112 113 +-j412 -000 j4 Ω
Mario is arranging unit cubes. He stacks all of the cubes to make a solid figure with no gaps.
What is the volume of the figure Mario creates?
a.9 units cube
b.10 units cubed
c.6 units cubed
d.4 units cubed
Answer:
4units
Step-by-step explanation:
because he stack 4 units in right side
Pls Help!
Lauren got $321 from various relatives on her birthday. If she wants to put 20% of the money into her savings account, how much will she have left over to spend on new clothes?
Answer:
$64.20 saved
$256.80 spend on clothes
Step-by-step explanation:
321.00 x 0.20 = $64.20 saved
321.00 - 64.20 = $256.80 spend on clothes
Answer is $256.08
$321 - 20% = $256.08
x=30 y=6
X x Y - 4 + 15 /2=?
Also Anyone on here got Queston cove?
Lol
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
= 30 × 6 - 4 + 15 / 2= (30 × 6) - (4 + 15) / 2
= (180 - 19) / 2
= 161 / 2
= 80.5
Hope it helps!
mark me brainliest pls.....
Follow me! :)
4. LA and B form a linear pair. If
MZA = (6x – 19) and mZB = (11x-22),
find mZB.
I
A. 59
B. 65
C. 115
D. 121
Help!
Answer:
Supplementary angles - d ... 4. The complement of an angle of t° is an angle of_70-7_º mais. 5. If 4 1 and 22 are ... Linear Pair Postulate - If two angles form a linear pair, then they are supplementary. 1. 2 ... LA and Z B are complementary.
Step-by-step explanation:
The value of x is 13, then the measure of angle ∠B will be 121 degrees. Then the correct option is D.
What is an angle?Angle is the space between the line or the surface that meets. And the angle is measured in degree. For complete 1 rotation, the angle is 360 degrees.
Linear angle - If the total of two angles is 180 degrees, they are said to be linear angles.
The angle ∠A and ∠B form a linear pair.
If ∠A = (6x – 19) and ∠B = (11x – 22).
Then we have
∠A + ∠B = 180°
(6x – 19) + (11x – 22) = 180
17x – 41 = 180
17x = 221
x = 13
The value of x is 13, then the measure of angle ∠B will be
∠B = (11 × 13 – 22)
∠B = 143 – 22
∠B = 121
More about the angled link is given below.
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Calculate the lateral surface area of the cylinder below. Use 3.14 for pi.
Answer:
Step-by-step explanation:
Area = 2[tex]\pi[/tex]rh
=> 2 * 3.14 * 2 * 9
=> 6.28 * 18
=> 113.04Please mark as brainliest for future answers :)
Luisa solves for x in the equation 9(1/3) + 8x = 4( 2x + 3/4)
Answer:
x = all real numbers because this equation is an identity
Step-by-step explanation:
9 (1/3) = 9*1/3 = 3
3 + 8x = 4(2x + 3/4)
3 + 8x = 8x + 3
x = all real numbers because this equation is an identity
Answer: − 4 cot ( − 45 )
csc(60)
sin (330)
Not 100 % sure but that's what I figured out.
An apartment complex developer is considering building apartments in College Town, but first wants to do a market study. A sample was selected of monthly rent values ($) for 80 studio apartments in College Town with sample mean of 498.76. (Based on past experience, the developer assumes a known value of s = $65 for the population standard deviation.)
a. Develop a 98% confidence interval for the mean monthly rent for all studio apartments in this city.
b. Suppose the apartment developer wants a 98% confidence interval estimate of the population mean with a margin of error of E = $15. What sample size is needed?
Answer:
a. The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
b. A sample size of 102 is needed.
Step-by-step explanation:
Question a:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.98}{2} = 0.01[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.01 = 0.99[/tex], so Z = 2.327.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 2.327\frac{65}{\sqrt{80}} = 16.91[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 498.76 - 16.91 = $481.85
The upper end of the interval is the sample mean added to M. So it is 498.76 + 16.91 = $515.67
The 98% confidence interval for the mean monthly rent for all studio apartments in this city is between $481.85 and $515.67
Question b:
This is n for which M = 15. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]15 = 2.327\frac{65}{\sqrt{n}}[/tex]
[tex]15\sqrt{n} = 2.327*65[/tex]
[tex]\sqrt{n} = \frac{2.327*65}{15}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327*65}{15})^2[/tex]
[tex]n = 101.68[/tex]
Rounding up:
A sample size of 102 is needed.
Factor this problem. Give me a good answer.(no spam, bots, etc.)
Will give brainlyist<sorry if it isn't spelled right>to the correct answer
!!!DUE TODAY!!!
Answer:
4m(-2m+2m-1)
Step-by-step explanation:
nothing to explain because i am bad at maths.
An Internet service provider sampled 540 customers and found that 55 of them experienced an interruption in their service during the previous month. Construct a 95% confidence interval for the proportion of all customers who have experienced a service interruption. (0.080, 0.123) (0.873, 0.924) (0.076, 0.127) (0.102, 0.898)
Answer: a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
Step-by-step explanation:
Let p be the population proportion of all customers who have experienced a service interruption.
Confidence interval for p:[tex]\hat{p}\pm z^*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}[/tex], where [tex]\hat{p}[/tex] = sample proportion, n= sample size, z* = critical z-value.
Given: n = 540
[tex]\hat{p}=\dfrac{55}{540}=0.102[/tex]
z* = 1.96
The required confidence interval:
[tex]0.102\pm (1.96)\sqrt{\dfrac{0.102(1-0.102)}{540}}\\\\=0.102\pm (1.96)(0.013024)\\\\=0.102\pm$$0.02552704\\\\=(0.102-$$0.02552704, 0.102+0.02552704)\\\\\approx(0.076, 0.127)[/tex]
Hence, a 95% confidence interval for the proportion of all customers who have experienced a service interruption: (0.076, 0.127).
The distance that an object falls when it is dropped is directly proportional to the
square of the amount of time since it was dropped. An object falls 288 feet in 3
seconds. Find the distance the object falls in 4 seconds
Answer:
After 4 seconds, the object will have fallen 512 feet.
Step-by-step explanation:
Given that the distance that an object falls when it is dropped is directly proportional to the square of the amount of time since it was dropped, to determine, if an object falls 288 feet in 3
seconds, the distance the object falls in 4 seconds, the following calculation must be performed:
288/3 ^ 2 = X
288/9 = X
32 = X
X / 4 ^ 2 = 32
X / 16 = 32
X = 32 x 16
X = 512
Thus, after 4 seconds, the object will have fallen 512 feet.
Find the value of x in this figure.
50
40
30
60
Answer:
the answer isnt right just trying to see if anyone else knows it
Step-by-step explanation:
How can I solve this quadratic using the square root properly?
Answer:
x = +3
Step-by-step explanation:
4x² = 36
sqareroot both side we get,
√4x² = √36
2x = 6
x = 6/2
x = +3
Thus, The answer is +3
-TheUnknownScientist
Answer:
4x^2 = 36
________ x^2 = 9. square root of 9
4. = 4. x = 3
Step-by-step explanation:
Divide both sides by 4 to isolate the square root.
So, you will end up with x^2 = 9
then take the square root of 9,
square root of 9 is 3.
So x = 3
PLEASE ANSWER ASAP: On a farm, the farmer decides to give pizza to her 18 ducks as a special treat. She orders 3 pizzas, and the total price is $26.28. What is the unit price of each pizza? (4 points)
PLEASE SHOW STEP AND ANSWER!
Answer:
8.76
Step-by-step explanation:
$26.28 ÷3=8.76
since 26.38 is the total amount of all the 3 pizzas then we would have to divide 26.28 by the amoun of pizzas that was bought, which is 3, and you will get your answer
what is the total surface area?
Answer:
231.5in squared
Step-by-step explanation:
Both faces area formula
Rectangle: l x w
triangle: b x h / 2
PLEASE HELP !! ILL GIVE BRAINLIEST !! 100 POINTS
i dot know tahans for free point
A group of friends were working on a student film that had a budget of $640. They spent all their budget on equipment and props. They used 15% of their budget on props. How much money did they spend on equipment?
Model with mathematics. Hamid has read 60 pages of the book
he will be using for a book report. If he reads 45 pages per hour, how
many hours will it take him to read at least 375 pages of the book?
Define a variable, and then write and solve an inequality to represent
this situation. Graph the solution on a number line.
Answer:
Hamid will take 8 hours and 20 minutes to read 375 pages of the book.
Step-by-step explanation:
Given that Hamid has read 60 pages of the book he will be using for a book report, if he reads 45 pages per hour, to determine how many hours will it take him to read at least 375 pages of the book the following calculation must be done:
375/45 = X
8.3333 = X
0.333 x 60 = 20
Thus, Hamid will take 8 hours and 20 minutes to read 375 pages of the book.
Consider the functions f(x) = 2x + 1 and g(x) = x^2 - 10. What is the value of f[g(3)]?
Answer:
f[g(x)]= 2(x^2-10)+1
2x^2-20+1
f[g(3)]=2(3)^2-20+1
18-20+1
18-19=-1
Identify each sample as biased or unbiased and describe its type. Explain your reasoning.
PLEASE ANSWER PROPERLY AND NOT JUST TO GET POINTS OR ELSE I WILL REPORT YOU! DO NOT PUT A LINK THAT I HAVE TO DOWNLOAD. ALSO STATE WHICH ONE(S) YOU ARE DOING THANKS! <3
2. To determine the theme for the homecoming dance, the homecoming committee surveys one classroom.
6. To determine the quality of a new cell phones coming off an assembly line, the manager chooses one cell phone every 20 minutes and checks it.
8. To determine whether a candidate for a governor is popular with the voters, 30% of the citizens in each pf the 254 countries are surveyed.
AGAIN THANK YOU!
Answer:
2. biased because they're only surveying one classroom and not more
6. unbiased because I'm assuming the manager is using a different phone every 20 minutes
8. unbiased because he they surveyed many countries
Step-by-step explanation:
hope this helps sorry if incorrect have a good rest of your night/day :) ❤
can I please get brainliest
PLEASE HELPPPPP!!!!!!!!!!
Answer:
Hi,
To fill them in your numbers are...
0, 3, 6, 9, 12, 15, 18
And when she drops 6 drops of red food coloring, she will drop 18 drops of yellow food coloring.
I hope this helps :)
14 in. = _____ ft
Plzzzzzzzzzzzz help
Answer:
1.16 feet
Step-by-step explanation:
12 inches in one foot so there are 14 inches in 1.16 feet.
triangle: solve for x
Answer:
6 root two
Step-by-step explanation:
geometric mean for leg t.
24*3=x2
x2=72
x=root(72)
6 root two
if my answer helps please mark as brainliest.
Find the values of the variable In The figure
Answer:
A. 18
Step-by-step explanation:
Sum of the measures of all the angles of a quadrilateral is 360°
Therefore,
[tex]2m \degree + 8m \degree + 6m \degree + 4m \degree = 360 \degree \\ 20m \degree = 360 \degree \\ 20m = 360 \\ m = \frac{360}{20} \\ m = 18[/tex]
I solved this quadratic using the square root property. I did it 2 ways but I am not sure which one is correct.
Answer:
it's your second answer: )
Answer:
the one on the right
Step-by-step explanation:
:) s s
A narrow arch supporting a stone bridge is in the shape of half of an ellipse and is 24 meters long and 8 meters high. A person standing at one location throws a rubber ball against the arch. No matter what direction the ball is thrown it always bounces off the arch once and strikes the same point on the ground. What is the distance between he person throwing the ball and the point on the ground at which the ball first strikes
Answer:
[tex]X=17.9m[/tex]
Step-by-step explanation:
Length of arc [tex]L_a=24m[/tex]
Height of arc [tex]H_a=8m[/tex]
Tet the length on the ground be
[tex]2a=24\\ a=12m[/tex]
Generally the Pythagoras equation is mathematically given by
[tex]a^2=b^2+c^2[/tex]
[tex]c^2=a^2+b^2[/tex]
[tex]c^2=12^2+8^2[/tex]
[tex]c^2=144^2+64^2[/tex]
[tex]c=8.9[/tex]
Therefore the distance between he person throwing the ball and the point on the ground at which the ball first strikes X
[tex]X=2c\\X=2*8.9[/tex]
[tex]X=17.9m[/tex]