Answer:
m = 12.5
Step-by-step explanation:
x = - 3
(3m - x) 2= 81
(3m - (-3)) 2= 81
(3m + 3) 2= 81
6m + 6 = 81
- 6 - 6
6m = 75
[tex]\frac{6m}{6}[/tex] = [tex]\frac{75}{6}[/tex]
m = 12.5
hope this helps! if you have an questions, pls let me know!
Find the area of the shaded regions
Sector area
Area of whole = 51.313
Area of unshaded = 9.424
Area of shaded = 41.8886
Answer:
40π/3Step-by-step explanation:
Find the area of the bigger circle:
A = πr² = π(4 + 3)² = 49πFind the area of 120° sector AOC:
A = 120°/360°*A = 1/3*49π = 49π/3Find the area of smaller circle:
A = π(3²) = 9πFind the area of 120° sector of DOB:
A = 120°/360°*9π = 3πNow find the shaded area, the difference of areas of sectors:
49π/3 - 3π = 40π/3Two solutions of the equation Ax+By = 1 are (2, -1) and (-3,-2). Find A and B.
Answer:
Substitute in the values of both given coordinates & form 2 equations:
[tex]\left \{ {{A(2)+B(-1)=1} \atop {A(-3)+B(-2)=1}} \right. \\\\=\left \{ {{2A-B=1} \atop {-3A-2B=1}} \right.[/tex]
Find the value of B from the equation 2A - B = 1:
[tex]2A-B=1\\-B=1-2A\\B=2A-1[/tex]
Substitute in the B-value to the other equation:
[tex]-3A-2B=1\\-3A-2(2A-1)=1\\-3A-4A+2=1\\-7A=1-2\\-7A=-1\\A=\frac{-1}{-7} =\frac{1}{7}[/tex]
Find the B-value using the equation from before:
[tex]B=2A-1=2(\frac{1}{7})-1=\frac{2}{7} -\frac{7}{7} =-\frac{5}{7}[/tex]
Therefore the equation Ax + By = 1 would equal:
[tex]\frac{1}{7} x-\frac{5}{7} y=1[/tex]
3/8 x 1 1/2 x1 1/2 What is the answer please and step by step
Answer:
=3/8×1 1/2×1 1/2
=3/8 ×3/2×3/2 ∴ 1 1/2 =2×1+1/2=3/2
=27/32 ∴3×3×3=27 ∴8×2×2=32
Determine the remaining sides and angles of the triangle ABC.
c=6 mi, B = 38.71°, C = 32.51°
Find the measure of angle A.
A=°
(Type an integer or a decimal.)
Find the length of side a.
а:
mi
(Round to the nearest mile as needed.)
Find the length of side b.
b=mi
(Round to the nearest mile as needed.)
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Answer:
A = 108.78°
a = 11 mi
b = 7 mi
Step-by-step explanation:
The sum of angles in a triangle is 180°, so the third angle is ...
A = 180° -38.71° -32.51°
A = 108.78°
__
The remaining sides can be found from the law of sines.
a/sin(A) = c/sin(C)
a = sin(A)·c/sin(C) ≈ 0.946762 × 11.163896
a ≈ 11 mi
b = sin(B)·11.163896 ≈ 0.625379 × 11.163896
b ≈ 7 mi
Grams in this equation
30 .650 pounds of gramsin vegetables
resolver utilizando la regla de clamer
Answer:
pordondede donde eres?
Step-by-step explanation:
........................
5x + 2y + 19 = 0 3x + 4y + 17 = 0
Answer:
x = -3; y = 2
Step-by-step explanation:
5x + 2y + 19 = 0
3x + 4y + 17 = 0
-10x - 4y - 38 = 0
3x + 4y + 17 = 0
-7x - 21 = 0
x = -3
5(-3) + 2y = -19
2y = -4
y = -2
Answer: x = -3; y = 2
Can somebody help me
Answer:
The x interceprs are (-3,0) and (2,0)
Step-by-step explanation:
The reason is that when you plug in a -3 in the left parentheses it would become 0, and any number times 0 would be zero, making the equation equal to zero. The same would be true for the terms in the right parentheses, plugging in a two would make it equal to zero. This would make the entire equation equal to zero, finding you the x intercepts.
A square steel bar has a length of 5.1 ft and a 2.7 in by 2.7 in cross section and is subjected to axial tension. The final length is 5.10295 ft . The final side length is 2.69953 in . What is Poisson's ratio for the material
Answer:
The Poisson's ratio for the material is 0.0134.
Step-by-step explanation:
The Poisson's ratio ([tex]\nu[/tex]), no unit, is the ratio of transversal strain ([tex]\epsilon_{t}[/tex]), in inches, to axial strain ([tex]\epsilon_{a}[/tex]), in inches:
[tex]\nu = -\frac{\epsilon_{t}}{\epsilon_{a}}[/tex] (1)
[tex]\epsilon_{a} = l_{a,f}-l_{a,o}[/tex] (2)
[tex]\epsilon_{t} = l_{t,f}-l_{t,o}[/tex] (3)
Where:
[tex]l_{a,o}[/tex] - Initial axial length, in inches.
[tex]l_{a,f}[/tex] - Final axial length, in inches.
[tex]l_{t,o}[/tex] - Initial transversal length, in inches.
[tex]l_{t,f}[/tex] - Final transversal length, in inches.
If we know that [tex]l_{a,o} = 61.2\,in[/tex], [tex]l_{a,f} = 61.235\,in[/tex], [tex]l_{t,o} = 2.7\,in[/tex] and [tex]l_{t,f} = 2.69953\,in[/tex], then the Poisson's ratio is:
[tex]\epsilon_{a} = 61.235\,in - 61.2\,in[/tex]
[tex]\epsilon_{a} = 0.035\,in[/tex]
[tex]\epsilon_{t} = 2.69953\,in - 2.7\,in[/tex]
[tex]\epsilon_{t} = -4.7\times 10^{-4}\,in[/tex]
[tex]\nu = - \frac{(-4.7\times 10^{-4}\,in)}{0.035\,in}[/tex]
[tex]\nu = 0.0134[/tex]
The Poisson's ratio for the material is 0.0134.
The length of a rectangle is 10 yd less than three times the width, and the area of the rectangle is 77 yd^2. Find the dimensions of the rectangle.
Answer:
W=7 and L=11
Step-by-step explanation:
We have two unknowns so we must create two equations.
First the problem states that length of a rectangle is 10 yd less than three times the width so: L= 3w-10
Next we are given the area so: L X W = 77
Then solve for the variable algebraically. It is just a system of equations.
3W^2 - 10W - 77 = 0
(3W + 11)(W - 7) = 0
W = -11/3 and/or W=7
Discard the negative solution as the width of the rectangle cannot be less then 0.
So W=7
Plug that into the first equation.
3(7)-10= 11 so L=11
Data was collected on reaction time of both hands for an experiment. 14 out of 27 students had a faster reaction time with their right hand than with their left hand. Using this information, we wish to construct a confidence interval for the proportion of all WCU students that have a faster reaction time with their right hand than with their left hand.
Calculate the lower boundary of a 99% confidence interval.
Give your answer as a decimal rounded to 3 places after the decimal.
Answer:
0.3902
Step-by-step explanation:
The question meets the criteria for the calculation of the confidence interval of a one sample proportion ;
Sample size, n = 27
Number of students with faster reaction time = 14
Phat = x / n = 14 / 27 = 0.6296
The confidence interval is calculated thus :
C. I = Phat ± Zcritical * √[p(1 - p)/n]
Zcritical at 99% = 2.576
C. I = 0.6296 ± 2.576 * √[0.6296(0.3704)/27]
C.I = 0.6296 ± 0.2394042
The lower boundary of C.I = 0.6296 - 0.2394042
Lower boundary = 0.3902
URGENT 15 PNTS!
Which of the following is correct based on this picture?
A. cosY=3863
B. none of these are correct
C. tanY=3863
D. sinY=3863
Answer:
D.
Step-by-step explanation:
sin Y = opposite side / hypotenuse
= 38/63.
Answer:
D
Step-by-step explanation:
[tex]Sin \ y = \frac{opposite \ side}{hypotenuse}\\\\Sin \ y = \frac{38}{63}[/tex]
A manufacturing process produces bags of cookies. The distribution of content weights of these bags is Normal with mean 15.0 oz and standard deviation 1.0 oz. We will randomly select n bags of cookies and weigh the contents of each bag selected. How many bags should be selected so that the standard deviation of the sample mean is 0.1 ounces?
a. 8 bags
b. 10 bags
c. 64 bags
d. 100 bags
Answer:
100 bags
Step-by-step explanation:
S.E = σ/ √n
0.1 = 1 / √n
Square both sides
0.1² = 1² / n
0.01 = 1 / n
0.01n = 1
n = 1 / 0.01
n = 100
Find the length of the third side?
Answer:
2
Step-by-step explanation:
let x be the third side
Using Pythagoras' identity in the right triangle
x² + 5² = ([tex]\sqrt{29}[/tex] )²
x² + 25 = 29 ( subtract 25 from both sides )
x² = 4 ( take the square root of both sides )
x = [tex]\sqrt{4}[/tex] = 2
make m the subject of this eequation please help!! asap
Answer: [tex]M = \pm\sqrt{\frac{3K}{4(5+7NK)}}\\\\[/tex]
======================================
Work Shown:
[tex]\frac{5}{K} = \frac{3}{4M^2} - 7N\\\\\frac{5}{K}+7N = \frac{3}{4M^2}\\\\\frac{5}{K}+7N*\frac{K}{K} = \frac{3}{4M^2}\\\\\frac{5}{K}+\frac{7NK}{K} = \frac{3}{4M^2}\\\\\frac{5+7NK}{K} = \frac{3}{4M^2}\\\\4M^2*(5+7NK) = K*3\\\\M^2 = \frac{3K}{4(5+7NK)}\\\\M = \pm\sqrt{\frac{3K}{4(5+7NK)}}\\\\[/tex]
Other forms are possible, but those forms would be equivalent to what is shown above.
Angles CED and CBD subtend the same arc. Determine the measure of ∠CED.
Question options:
1)
100°
2)
150°
3)
310°
4)
50°
Answer:
[tex]50^{\circ}[/tex]
Step-by-step explanation:
Inscribed angles that form the same arc have the same angle measure, no matter where they lie on the circle. Since the measure of angle CBD forms the same arc as angle CED, the measure of angle CBD must be equal to the measure of angle CED, hence [tex]m\angle CED=\boxed{50^{\circ}}[/tex]
Answer:
the answer is 4)50°
Step-by-step explanation:
because it is same
A student decides she wants to save money to buy a used car, which costs $2600. She comes up with what she thinks is a very modest savings plan. She decides to save 2 cents the first day and double the amount she saves each day thereafter. On the second day she plans to save 4 cents, on the third day, 8 cents, and so on. Determine how long it will take her to save enough money to buy the car ?
Answer:
17 days
Step-by-step explanation:
as you see, 4=2^2
and 8=2^3
so we have a number sequence:
2+2^2+2^3+...+2^n=260000 (1)
multiply (1) by 2 we have:
2^2+2^4 +...+2^(n+1)=520000 (2)
(2) minus (1) we have:
2^(n+1)-2=260000
2^n*2=260002
2^n=130001
and we have 2^17=131072 >130001
so it will take her at least 17 days to buy the car
It will take her about 17 days to buy the car worth 260000 cents
If a student decides she wants to save money to buy a used car that cost $2600 (260,000 cents)
If she saves 2 cents the first day and doubles the amount thereafter, the sequence of savings will be:
2, 4, 8...
This sequence is geometric in nature
In order to determine how long it will take her to save 260,000, we will use the sum of a GP formula expressed as:
[tex]S_n = \frac{a(r^n-1)}{r-1}[/tex]
Given the folowing
a = 2
r = 4/2 = 8/4 = 2
Sn = 260,000
Substitute into the formula the given parameters
[tex]260000= \frac{2(2^n-1)}{2-1}\\260000/2=2^n-1\\130000 = 2^n - 1\\2^n = 130000 + 1\\2^n = 130001\\nlog 2=log130001\\n = \frac{log130001}{log2} \\n \approx 17[/tex]
This shows that it will take her about 17 days to buy the car worth 260000 cents
Learn more here: https://brainly.com/question/20548958
35 POINTS HELP in the figure above the circle has center O and radius 6 what is the length of arc acb
Answer:
9.425 or 3π
Step-by-step explanation:
arc length = 2πr(θ/360)
The angle is 90˚ as indicated by the square symbol.
ABC = 2π6(90/360) = 9.425 or 3π
There are 3 red marbles and 8 blue marbles in a bag. (a) What is the ratio of all marbles in the bag to blue marbles? (b) What is the ratio of red marbles to all marbles in the bag?
Answer:
a.) 11:8
b.) 3:11
Step-by-step explanation:
a)
Add all marbles
8 + 3 = 11
Blue marbles = 8
So, the ratio will be 11:8
b)
Red marbles = 3
All marbles = 11
So, the ratio will be 3:11
Hope this helps.
Answer:
Step-by-step explanation:
7. Find the missing side. Round to the nearest tenth
Hi there!
[tex]\large\boxed{x \approx 19.6}[/tex]
We can use right triangle trigonometry to solve.
We are given the angle's adjacent side and are trying to solve for the hypotenuse, so:
Use cosine: cos Ф = A / H
Thus:
cos 30° = 17 / H
Simplify:
0.866 = 17 / H
Isolate for H:
H · 0.866 = 17
H = 17 / 0.866
H = 19.63 ≈ 19.6
Answer:
x = 19.6
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 30 = 17/x
x cos 30 = 17
x = 17/cos 30
x=19.62990
To the nearest tenth
x = 19.6
Lactation promotes a temporary loss of bone mass to provide adequate amounts of calcium for milk production. A paper gave the following data on total body bone mineral content (TBBMC) (g) for a sample both during lactation (L) and in the postweaning period (P).
Subject
1 2 3 4 5 6 7 8 9 10
L 1928 2549 2825 1924 1628 2175 2114 2621 1843 2541
P 2126 2885 2895 1942 1750 2184 2164 2626 2006 2627
Required:
a. Does data suggest that true average total body bone mineral content during postweaning exceeds that during lactation by more than 25 g? State and test the appropriate hypotheses using a significance level of 0.05. [Note: The appropriate normal probability plot shows some curvature but not enough to cast substantial doubt on a normality assumption.]
b. Calculate a lower confidence bound using a 95% confidence level for the true average difference between TBBMC during postweaning and lactation.
Answer:
- 179.981
Step-by-step explanation:
The hypothesis :
H0 : μL - μP ≥ 25
H0 : μL - μP < 25
The sample mean difference ;Xd
d = L - P
Xd = Σd/n
d = -198,-336,-70,-18,-122,-9,-50,-5,-163,-86
Xd = - 1057 / 10
Xd = - 105.7
Using calculator ;
Standard deviation of difference, Sd = 103.845
The test statistic :
T = Xd ÷ (Sd/√n)
T = -105.7 ÷ (103.845/√10)
T = - 3.219
Decision region :
Reject H0 ; If Pvalue < α
The Pvalue : df = n - 1 ; 10 - 1 = 9
Pvalue(-3.219, 9) ; two-tailed = 0.00525
Hence, reject H0
B.) The confidence interval for difference in mean :
Xd ± Tcritical[Sd/√n]
Tcritical at 95%, df = 9
Tcritical = 2.262
C.I = -105.7 ± 2.262[103.845/√10]
C.I = -105.7 ± 74.281076
Lower boundary: - 105.7 - 74.281076 = - 179.9810
P over 8 4
The solution is ___.
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Answer:
1680
Step-by-step explanation:
nPk = n!/(n-k)!
8P4 = 8!/(8-4)! = 8·7·6·5 = 1680
What is the approximate volume of the
pyramid if the base area is 625 square
feet and the height is 50 feet?
Answer:
10417 cubic units (to nearest unit)
Step-by-step explanation:
A formula for the volume of pyramids (and cones--"pointy" things) is one-third times the area of the base times the height.
[tex]V=\frac{1}{3}Bh[/tex] where B is the area of the base.
[tex]V=\frac{1}{3}(625)(50) \approx 10417[/tex] cubic units (rounded)
log13 X + log13 (12x-1)=1
Solve for x by simplifying both sides of the equation, then isolating the variable.
x ≈ 0.13893498
(3x - 2)^5 =(3x - 2)^2
Answer:
x=3/2,1
Step-by-step explanation:Given
(3x-2)ˆ5-(3x-2)ˆ2=0
(3x-2)ˆ3(3x-2)ˆ2-(3x-2)ˆ2=0
(3x-2)ˆ2{(3x-2)ˆ3-1}=0
(3x-2)ˆ2=0 Or (3x-2)ˆ3-1=0
3x-2=0 Or(3x-2)ˆ3=1
x=3/2 Or 3x-2=1, x=1
Alan's aunt gave him $95 to spend on clothes at the mall. He bought 5 shirts that cost $6 each and a pair of pants that cost $17. How much money does Alan have left to buy more clothes? (one more)
Answer:
he has 48 dollars left to spend on clothes
1) A book contains 192 pages. A boy reads x complete pages everyday.if he has not finished the book after 10days, find the highest possible value of x
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Answer:
19
Step-by-step explanation:
After x days, the boy will have read 10x. If this is less than 192, we have ...
10x < 192
x < 192/10
x < 19.2
If x is an integer, the largest possible value x could have is 19.
If 5x−1>3x+7, then the value of x will be,
Answer: x>4
solution set : x = {5,6,7,8....}
Step-by-step explanation:
5x-1>3x+7
or, 5x-1+1>3x+7+1
or, 5x>3x+8
or, 5x-3x > 3x+8-3x
or, 2x > 8
or, 2x/2 > 8/2
or, x > 4
Find the center and radius of the circle (x + 1)^2 + y^2 = 4
Answer:
(-1,0) r=2
Step-by-step explanation:
the equation of a circle can be written as (x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius
PLEASEEEE PLEASEEEE HELPPPP
i need an equation for a vertical line going through f(x) = 2x^2 + 6x + 2
Answer:
dont understand clearly
Step-by-step explanation:
dont understand clearly
