x^2=37 ===》 x = + radical 37( acceptable )
===》 x = - radical 37(unacceptable)
If x = 4-√5, find the value of (x2+1/x2 )
Answer:
2562 - 960√5/11
Step-by-step explanation:
We are given here the value of x as 4 - √5. We need to find the value of x² + 1/x² . So let's find out 1/x
⇒ x = 4 - √5
⇒ 1/x = 1/4-√5
⇒ 1/x = (4 + √5) / ( 4 - √5) ( 4 + √5 )
⇒ 1/x = 4 + √5 / 4² - (√5)²
[ using (a+b)(a-b) = a² - b²]⇒ 1/x = 4+√5 / 16 - 5
⇒ 1/x = 4+√5/11
Add x² and 1/x² now ,⇒ x² + 1/x² = (4-√5)² + (4+√5)²/11²
⇒ x² + 1/x² = 121( 16 + 5 -8√5 ) + 16 + 5 + 8√5 / 121
⇒ x² + 1/x² = 1936 + 605 - 968√5 + 21 + 8√5 / 121
⇒ x² + 1/x² = 2562 - 960√5/11
PLZ HELP ME!!!!! NO LINKS!!!!!!!!!!
Answer:
unfortunately, I couldn't give you the answer because I can't see all of the number values provided in this problem, but hopefully with the explanation you'll be able to solve it : )
Step-by-step explanation:
1. To find the mean absolute deviation of the data, start by finding the mean of the data set.
2. Find the sum of the data values, and divide the sum by the number of data values.
3. Find the absolute value of the difference between each data value and the mean: |data value – mean|.
4. Find the sum of the absolute values of the differences.
5. Divide the sum of the absolute values of the differences by the number of data values.
Guided Practice
x y
3 5.4
7 12.6
12 21.6
For the data in the table, tell whether y varies directly with x. If it does, write an equation for the direct variation.
A.
yes; x = 1.8y
B.
no
C.
yes; y = 1.8x
Answer:
C.
yes; y = 1.8x
Step-by-step explanation:
Answer for the question :
Yes, Y varies directly with X, and the equation is :
Y = 1.8X
NOTE : For every value of X, when you multiply them with 1.8, you will get the corresponding Y.
Y = 1.8 x X
5.4 = 1.8 x 3
12.6 = 1.8 x 7
21.6 = 1.8 x 12 (Q.E.D.)
That’s the answer, good luck in solving the question!
:-)
ideal all you ought to do is to divide the y via potential of x and u get the equation working occasion #a million y=32 / x=4 then u have y/x=32/4 ----> y=8x and do the comparable indoors something so #2 y=-20 & x=-20 so y/x=-20/-20 y=x etc
The linear equation is given as y = 1.8x, Then the correct option is C.
What is the equation of a line passing through two points?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,
[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]
The table is given below.
x y
3 5.4
7 12.6
12 21.6
Then the linear equation is given as,
[tex]\rm (y - 5.4) = \left [\dfrac{5.4-12.6}{7-3} \right] (x-3)[/tex]
Simplify the equation, then we have
y - 5.4 = 1.8(x - 3)
y - 5.4 = 1.8x - 5.4
y = 1.8x
The linear equation is given as y = 1.8x, Then the correct option is C.
More about the line passing through two points link is given below.
https://brainly.com/question/12740817
#SPJ2
What is the area of sector with a central angle of 160 and a diameter of 5.8 m? Round the answer to the nearest tenth.
A) 8.1 m^2
B) 4.0 m^2
C) 46.0 m^2
D) 11.7 m^2
Answer:
[tex]A=11.7\ m^2[/tex]
Step-by-step explanation:
Given that,
Central angle, [tex]\theta=160^{\circ}[/tex]
Diameter,d = 5.8 m
Radius, r = 2.9 m
We need to find the area of sector. The formula for the area of sector is given by :
[tex]A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{160}{360}\times 3.14\times 2.9^2\\\\=11.7\ m^2[/tex]
So, the area of a sector is equal to [tex]11.7\ m^2[/tex].
What adds to get -4 and multiplies to get 16
Answer:
if your asking what do you have to add to negative 4 to get 16then you add 20 or if your asking what to add to get -4 I will need more info message me or comment
Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?
Answer:
The t-score to be used to find the 95% confidence interval for the population mean is;
[tex]t_{(0.025, \, 25)} = 2.06[/tex]
Step-by-step explanation:
The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom from the Student's T-distribution is a standard test statistic obtained by applying a T-test
Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;
The number of degrees of freedom = n - k
The confidence level in the confidence interval
The parameters given in the question are;
The number of pizza orders in the sample, n = The sample size = 26
The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza
The level of confidence (the probability) that the interval contains the population mean = 95%
Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05
∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long
The degrees of freedom, df = n - k
∴ For the estimation, DF = 26 - 1 = 25
The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;
[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]
. Carrie and Brad both ordered medium pizzas from Pizzazz. Carrie's pizza had 3 toppings
and cost $12.75 while Brad's pizza had 5 toppings and cost $14.25. Which equation
models this linear relationship where x represents the number of toppings and y represents
the total cost of the pizza?
Answer: It will be 0.75x+10.5
Step-by-step explanation:
Because if we were to do 12.75-10.5, we get 2.25, 2.25/0.75=3, it matches Carrie's pizza's amount of toppings, same with Brad. Goodluck on your DLA as you are on Aware Testing for Cinco, I won't tell you the school name because I don't want stalkers to track us down.
1. NASA has computer scientists and engineers working on-site for their programs every
day. On the day described, find how many scientists were working and how many engineers
were working.
---
A.
One day there were 11 total engineers and scientists working. Write an
equation that represents this relationship.
B.
Each engineer is paid $144 per day and each scientist is paid $66 per day. On
the same day as in part A, earnings for scientists and engineers totaled
$1038. Write an equation that represents this relationship.
Answer:
Step-by-step explanation:
Korra is carrying a bag of books that weighs 40 pounds. After picking up some books at school, the weight has increased by
36%. How many pounds does the bag weigh now?
Answer:
W' = 54.4 pounds
Step-by-step explanation:
Given that,
The weight of a bag of books = 40 pounds
After picking up some books at school, the weight has increased by 36%.
We need to find the weight of the bag now. Let the new weight is W'.
So,
W' = 40 +36% of 40
i.e.
[tex]W'=40+\dfrac{36}{100}\times 40\\W'=54.4\ pounds[/tex]
So, the new weight of the bag is equal to 54.4 pounds.
Find the 75th term of the following arithmetic sequence.
6, 11, 16, 21,
Answer:
The 75th term in the sequence is 16
Step-by-step explanation:
The 75th term of a sequence can be considered as the term that is in the position at 75% along the sequence. This is assuming that the sequence has been sorted already from lowest value to highest value
In this sequence, which has 4 terms, we can find the 75th term by finding what term is at 75% (or three-quarters) along the sequence.
To find the 75th term:
Multiply the number of terms by 0.75 (or 75%/100%) :
0.75*4 terms= 3
Then, we find the value of the term that is at position 3 from the left (lowest number)
In this case, the term that is at the 3rd position from the left is 16
Thus, the 75th term in the sequence is 16
5/7 divided by 2/9 - someone answer pls
Answer:
3.21
Step-by-step explanation:
5/7/2/9
5/7*9/2
45/14
3.21
Answer:
5/7 x 9/2 = 45/14 = 3 3/14
Make 2/9 a reciprocal (basically just turning the fraction upside down) then turn the division sign into a multiplication sign and multiply across then simplify to get your final answer! To get a decimal you need to divide normally.
What is the area of the following trapezoid
Answer:
d. 130
Step-by-step explanation:
Lenard spent $56 on cookies. If each box cost $7, how many boxes did he buy?
Answer:8
Step-by-step explanation:
56 divided by 7 is 8
Brainliest plz
PLEASE I don't understand how to do this, 50 Points for anyone who solves it!
Check attachment below
Answer:
170°Step-by-step explanation:
∠WYX is the inscribed angle and equal to half of the intercepted arc WX
mWX = 2m∠WYX = 2(42x + 1) = 84x + 2Sum of arc measures add to 360°:
29x - 1 + 65x + 3 + 84x + 2 = 360178x + 4 = 360178x = 356x = 2Plug in the value of x and find measure of the arc WX:
mWX = 84*2 + 2 = 170°The formula to find the circumference of a circle is C=pi r. Use 3.14 for
Answer: 12.56*3.14=39.4584037291
Step-by-step explanation:
5) A section of rope is divided into 4 pieces. The 1st piece is 3 times as long as the 2nd piece. The 3rd piece is as long as the 2nd piece less 25 feet. The 4th piece is 2 times as long as the 2nd piece plus 30 feet. Write an expression representing each rope piece. How long is each piece of rope if the total length is 425 feet.
Answer:
1= 180 ft
2 = 60 ft
3= 35 ft
4= 150 ft
Step-by-step explanation:
1 = 3x
2=x
3=x-25
4= 2x+30
425= 7x -5
420=7x
x=60
Which diagram is not show as a function
9514 1404 393
Answer:
d
Step-by-step explanation:
A relation is NOT a function if the same input value maps to multiple output values.
Any relation that has an input with multiple arrows from it is not a functional relation. The diagram below is NOT a function.
Tina bought a bracelet for $5.24 and a necklace for $9.89. What is her total cost?
Answer:
15.13
Step-by-step explanation:
evaluate the variable expression 2n + 4 if n equals 3
Answer:
10
Step-by-step explanation:
Please help due soon!!
Answer:
200.96 ft^2
Step-by-step explanation:
The area of a circle is pi * r^2
This means that the area of that circle is pi * 8^2
8^2 * pi = 64 * 3.14 = 200.96
The width of a box is two-third of its length and height is
one-third of its length. If the volume of the box is 1296 m3,
ind the area of base of the box.
Answer:
216m² is your answer
Step-by-step explanation:
given
width [b]=2/3 ×l
length [l]=l
height [h]=1/3 l
we have
volume of cuboid =l×b×h
1296m³=l×2/3×l×1/3×l
1296m³=2/9×l³
l³=1296×9/2=5832
l³=18³
length [l]=18m
breadth [b]=2/3×18=12m
area of base of box =l×b=18×12=216m²
Question for Tejkmurray !!!
Could someone explain the box/whisker plot
Answer:
A box and whisker plot is a method of displaying variation in a set of data.
Minimum value: The smallest value in the data set
Second quartile: The value below which the lower 25% of the data are contained
Median value: The middle number in a range of numbers
Third quartile: The value above which the upper 25% of the data are contained
Maximum value: The largest value in the data set
Two triangles are similar. The lengths of the sides of the smaller triangle are 3,5 and 6, and the length of the longest side of the larger triangle is 15.
What is the perimeter of the larger triangle?
Answer:
35 units
Step-by-step explanation:
15/6=2.5
The larger triangle is magnified by a factor of 2.5
Hence its dimensions are 3×2.5=7.5, 5×2.5=12.5 and 6×2.5=15
Perimeter is 7.5+12.5+15=35 units.
.
There are 5 markers
for every 8 pencils in
a drawer. If there are
a total of 195 writing
tools in the drawer,
how many markers,
m, are there in the
drawer?
Answer:
120 markers
Step-by-step explanation:
I'm pretty sure this isn't the way to solve this...but it works
8+5=13
195/13=15
15*8=120
Subtract − 9 x − 7 −9x−7 from 8 x 2 − 5 x + 9 8x 2 −5x+9
Answer: i think its 152x-11
Step-by-step explanation:
the question is written weird so that what i got
Belinda has 7 pieces of wood. Each piece of wood measures 3/4 yards. How many yards of wood does she have all together?
Answer:
5.25 or 5 and 1/4
Step-by-step explanation:
7 pieces of wood * 3/4 yards each piece of wood is = 5.25 or 5 and 1/4 which represents the total length of the 7 pieces of wood.
Pls help me out!!!!!!!!
Answer:
[tex]60+3x+5x=180\\8x=120\\x=15[/tex]
[tex]\angle ABC=5x=5\times15=75\textdegree\\\angle ACB=3x=3\times15=45\textdegree[/tex]
What would w be equal to?
Answer:
w = [tex]\frac{P-2h}{2}[/tex]
Step-by-step explanation:
Given
P = 2w + 2h ( subtract 2h from both sides )
P - 2h = 2w ( divide both sides by 2 )
[tex]\frac{P-2h}{2}[/tex] = w
Hi! I need some help on my hw! Feel free to attach a picture explaining it if that’s easier tysm!
Simple mathematics.
2+3 1/10==5 1/10-4==1 1/10 -9 == -8 1/10 == -8.1
-10-4 1/2== -14 1/2 +2 +9 == -3 1/2 == -3.5