Answer:
[tex](\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Step-by-step explanation:
[tex]a=4-\sqrt{15}[/tex]
[tex]a^{4} +\frac{1}{a^{4} }\\=a^{2^{2} } +\frac{1}{a^{2^{2} } }\\\\=(x^{2} +\frac{1}{a^{2} } )^{2} -2a^{2} \frac{1}{a^{2} } \\=(a +\frac{1}{a } )^{2} -2a \frac{1}{a}-2\\=(4-\sqrt{15} +\frac{1}{4-\sqrt{15} }) ^{2} -4\\\=(\frac{16-15-4+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\=(\frac{-3+\sqrt{15} }{4-\sqrt{15} })^{2} -4\\[/tex]
Please help solve x and round all answers to the nearest tenth
a student takes a rectangular piece of paper 30 cm long and 21 cm wide find the area of the biggest circle that can be cut out from the paper also find the area of the paper left after cutting out the circle
Answer:
Step-by-step explanation:
diameter of the circle=smallest of the length and width=21 cm
r=21/2
area of the circle=πr²=22/7 ×(21/2)²=(21×441)/(7×4)=1323/4=330.75 cm²
Given m||n, find the value of x.
t
(9x+23)
m
(10x+6)
an
Answer:
Submit Answer
attempt 1 out of 2
Pls help I’ve already got it wrong once
Answer:
x=17
Step-by-step explanation:
These are alternate interior angles and alternate interior angles are equal when the lines are parallel
9x+23= 10x+6
Subtract 9x from each side
9x+23 -9x= 10x-9x+6
23 = x+6
Subtract 6 from each side
23-6 = x+6-6
17 =x
hello help please
Express
[tex] \frac{3}{5} [/tex]
of a right angle triangle to radian measure and can some anybody help me by looking one old question from my profile help please
a right angle is 90°, or 1/4 of a circle.
3/5 * 1/4 = 3/20
radian measure is the length of the circumference of this part of the circle.
a full circumference of a circle would be 2*pi*r, also expressed as 2 rad * r
now let's multiply the full thing with the 3/20 from earlier to just get the desired fraction:
6/20 rad * r
= 3/10 rad * r
of course a solution in cm or inch still depends on the radius here, wich could be just plugged in at will
Answer:
[tex]\frac{3\pi }{10}[/tex]
Step-by-step explanation:
To express degrees in radians
radian measure = degree measure × [tex]\frac{\pi }{180}[/tex]
[tex]\frac{3}{5}[/tex] of a right angle
= [tex]\frac{3}{5}[/tex] × 90° = 54° , then
radian = 54 × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{54}{180}[/tex] × π = [tex]\frac{3}{10}[/tex] × π = [tex]\frac{3\pi }{10}[/tex]
Find the measure of <3. 90 50 40 130
=============================================================
Explanation:
This figure is a kite since we have two pairs of adjacent sides that are congruent, but not all sides are the same length.
One property of kites is that the diagonals are always perpendicular (this applies to rhombuses as well). This means angle 3 is 90 degrees.
The measure of ∠3 is 90°
Because in a kite the diagonals bisects at 90°
Therefore ∠3 is 90°
Answered by Gauthmath must click thanks and mark brainliest
Please hell the question is in the photo ^^
May be this.. you may find all the math answers in the app known as Gauth math so I would suggest you to download it .Thank you
The graph of f(x) = |x| is translated 6 units to the right and 2 units up to form a new function. Which statement about the range of both functions is true?
The range is the same for both functions: {y | y is a real number}.
The range is the same for both functions: {y | y > 0}.
The range changes from {y | y > 0} to {y | y > 2}.
The range changes from {y | y > 0} to {y | y > 6}.
The range is the same for both functions: {y | y is a real number}.
Translation and range of a functionGiven the parent function expressed as f(x) = |x|. If the function is translated 6 units to the right and 2 units up to form a new function, the resulting function will be;
g(x) = |x + 6| + 2
The range is the value of the dependent variable for which it exist. For the given function, the range will exist on all real numbers.
Learn more on range of a function here: https://brainly.com/question/1466393
#SPJ9
Would the function ƒ(x) = 4 be considered a step function? Explain your reasoning.
Hey there! I'm happy to help!
A step function is a function that looks like stairs when you graph it. Normally the end of one line will be graphed as an open circle (less or greater than, not equal to) while the other end would be a closed circle. This allows for a new line of the function to start directly above it without it not being a function (an input cannot have two outputs)
The function f(x)=4 is just a horizontal line as it has a slope of 0 (there is no x on the right side of the equation), so this doesn't resemble a step function.
Have a wonderful day and keep learning! :D
Find the measure of PR.
PLEASE HELP ASAP!!
A. 18
B. 19
C. 25
D. 22
Answer:
A. 18
Step-by-step explanation:
the equation :
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18
If the length of FR is 16 units then the length of PR is 18 units which is option A.
What is circle?Circle is a figure whcih is having an arc showing points which are at equidistant from the centre point. The distance of arc from the centre point is known as radius.
How to find length?From the rule of tangents and point outside the circle we can say that,
RF×RS = PR×RQ
16×9 = PR × 8
144 = PR×8
PR = 144/8
PR = 18 units
Hence if the length of FR is 16 units then the length of PR is 10 units.
Learn more about circle at https://brainly.com/question/24375372
#SPJ2
Giải phương trình lượng giác cơ bản sinx=cos2x
Answer:
Step-by-step explanation:
Sammy and Hannah are finalists in a cooking competition. For the final round, each of them will randomly select a card without replacement that will reveal what their star ingredient must be. Here are the available cards:
Cabbage
Spinach
Kale
Leeks
Carrots
Turnips
Cabbage
Leeks
Spinach
Carrots
Kale
Turnips
Sammy and Hannah both want to get leeks as their star ingredient. Sammy will draw first, followed by Hannah.
What is the probability that NEITHER contestant draws leeks?
Round your answer to two decimal places.
The probability that neither of them draws the Leeks card is P = 4/6 = 0.667
Here we can assume that all the cards have the same probability of being randomly drawn.
The cards are:
Cabbage Spinach Kale Leeks Carrots TurnipsSo we have 6 cards. We want to find the probability that neither contestant draws the "Leeks" card.
Sammy draws first, the probability of drawing the Leeks card will be equal to the quotient between the number of Leeks cards (one) and the total number of cards (6).
Then the probability of drawing the leeks card is p = 1/6
This means that the probability of NOT drawing the leeks card is:
q = 1 - 1/6 = 5/6.
Now draws Hanna, now there are 5 cards in the deck (because one was already drawn). With the same approach as before, the probability of drawing the Leeks card is p = 1/5, then the probability of NOT drawing the card is:
q = 1 - 1/5 = 4/5.
The joint probability (this is, the probability of both of these events to happen together) is just the product of the individual probabilities.
Then the probability that neither of them draws the Leeks card is:
P = (4/5)*(5/6) = 4/6 = 0.667
If you want to learn more about probability, you can read:
https://brainly.com/question/24349426
can anyone help with this? im confused
The average weight of 10 boys is 77.0 pounds. If the
youngest boy is excluded, the average weight of the
9 remaining boys is 78.0 pounds. What is the weight,
in pounds, of the youngest boy?
Answer:
68 pounds.
Step-by-step explanation:
Find the total weight when there are 10 boys and when there are 9 boys then calculate the difference.
I'll let x = total weight.
[tex]\frac{x}{10}=77\\(10)\frac{x}{10}=77(10)\\x=770\\\\ \frac{x}{9}=78\\(9)\frac{x}{9}=78(9)\\x=702\\\\ 770-702=68[/tex]
Therefore, the youngest boy weighs 68 pounds.
A rectangular rug has the perimeter of 36 feet. The length of the rug is twice the width. What is the length
Answer:
12 ft
Step-by-step explanation:
l = 2w
P = 2(l+w)
36 = 2(2w+w)
36 = 2(3w)
36 = 6w
Divide each side by 6
36/6 = 6w/6
6 =w
l = 2w
l = 2(6)
l = 12
х
у
1
-4 -7
7
13
- 10
19
-13
3
Is the relationship shown by the data linear? If so, model the data with an equation.
Answer:
Yes and the equation is 2y=-x-7
Step-by-step explanation:
Yes the relation is linear, the slope of the equation will be - 3/6=-1/2, the equation of line will be y=(-1/2)x-3.5. 2y=-x-7
Select the correct answer.
Simplify the following expression.
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
Answer choices
5x^2 - 12x - 10
x^2 - 10x + 2
x^2 + 10x - 2
x^2 – 12x – 10
Answer:
x^2 -10x+2
Step-by-step explanation:
(3x^2 - 11x - 4) – (x – 2) (2x + 3)
FOIL
(3x^2 - 11x - 4) – (2x^2-4x+3x-6)
Combine like terms
(3x^2 - 11x - 4) – (2x^2 -x-6)
Distribute the minus sign
3x^2 - 11x - 4 – 2x^2 +x+6
Combine like terms
x^2 -10x+2
I really need an answer as soon as possible. 10 pts worth it
Answer:
A. Correct: When we plug in g(x) for the x in f(x), we get H(x).
B. Correct: When we plug in g(x) for the x in f(x), we get H(x).
C. Correct: When we plug in g(x) for the x in f(x), we get H(x).
D. Correct: When we plug in g(x) for the x in f(x), we get H(x).
Step-by-step explanation:
Brainliest, please!
intergrate x×(x²-3)³
Answer: [tex]\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}[/tex]
Step-by-step explanation:
[tex]\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c[/tex]
In a birthday party, a cake was cut into 30 equal sizes pieces. At the end of the party, 8 pieces were left. What was the percentage of cake consumped?
Answer:
73 1/3 %
Step-by-step explanation:
8 pieces were left
30-8 = 22 so 22 were consumed
22/30 is the percent consumed
.7333333
73.333333%
We know .333333333 is 1/3
73 1/3 %
Categorize the graph as linear increasing, linear decreasing, exponential growth, or exponential decay
Answer:
D. Exponential growth
Step-by-step explanation:
Hope this helps
Function that is similar to exponential.
Option (A) is correct.
What is exponential decay?Exponential decay describes the process of reducing an amount by a consistent percentage rate over a period of time. It can be expressed by the formula [tex]y=a(1-b)^{x}[/tex] wherein y is the final amount, a is the original amount, b is the decay factor, and x is the amount of time that has passed.
We can observe that
First, y increases as x increases
Last it is a function that is similar to exponential.
Function is an exponential decay.
Option (A) is correct.
Find out more information about exponential decay here
https://brainly.com/question/14355665
#SPJ2
Select the correct answer (for Edmentum/PLATO).
Which expression represents the series 1 + 5 + 25 + 125 + 625?
Answers attached in photo.
Answer:
Correct answer is A. Trust me
Step-by-step explanation:
Bobby think that 5^2 = 10. What is wrong with this answer
Answer:
see below
Step-by-step explanation:
5^2 means 5*5 not 5*2
5^2 = 5*5 = 25 not 10
Answer:
5*5 = 25
bobby mistake is doing 5*2 = 10
Step-by-step explanation:
2/3 (9-12n)
plz tell me fast its urgent
no spam or i will report
Answer:
6 -8n
Step-by-step explanation:
2/3 (9-12n)
Distribute
2/3 *9 - 2/3 *12n
6 -8n
PLEASE HELP!! Find the slant height of the come
Use the special angles to evaluate: a) cosec 60° cot 30° + cos 45º cosec 45° 2
Answer:
the required answer is 4√2+1/2√2
What is the vertex of g(x) = 3x2 − 12x + 7?
(−6, −5)
(−2, −5)
(2, −5)
(6, −5)
(h ,k) —> (2 , –5)
g(x)=3x²-12x+7 —> y= 3(x-2)²-5
y=a(x–h)²+k —> a= 3 , h=2 , k= –5
(h ,k ) —> (2, –5)
I hope I helped you^_^
Answer:
C, Option 2, or (2,-5)
Step-by-step explanation:
edge 2021
CP = Rs 720 and SP = Rs 810
Answer:
Bro what to do in this question. Hope you understand me
Does this graph show a function? Explain how you know.
A. No; the graph fails the vertical line test.
• B. No; there are y-values that have more than one x-value.
• C. Yes; the graph passes the vertical line test.
D. Yes; there are no y-values that have more than one x-value.
Answer:
C. Yes; the graph passes the vertical line test.
Step-by-step explanation:
Reasons the others are wrong:
A. It does pass the vertical line test.
B. Y-values can have any x values. It is x-values that can't have multiple y-values.
D. There are y-values with more than one x-value on this graph so that's just false. Even if it were true, that still doesn't invalidate it due to the reasons given in Answer B.
ASAP!! Photo attached
Answer:
FG = 120 cm
Step-by-step explanation:
The explanation is in the picture!
Find the measure of
Answer:
74 degrees
.................
Answer:
74
Step-by-step explanation:
BEC and CED form a straight line so they add to 180
BEC+CED = 180
106+ CED = 180
CED = 180-106
CED = 74
