Answer:
a): m=3
b)n=-4
3):x1=4.59779
Step-by-step explanation:
3(m+2)/5=3 solve brackets first
3m+6/5=3 multiply each side by 5
5(3m+6)/5=15
3m+6=15 subtract 6 from each side
3m+6-6=15-6
3m=9
m=9/3=3
b): 8(n-1)/5=3n-4/2 brackets first
8n-8/5=3n-4/2 cross multiplication
2*(8n-8)=5(3n-4)
16n-16=15n-20 put n together
16n-15n=-20+16
n=-4
3): x^3-2x=88
it is in the form of ax^3+bx^2+cx+d (a=1,b=0,c=1,d=-88)
the polynomial has no rational roots that can be found
to find the value of x1 , find the zero roots of x when y=0
x^3-2x-88=0
x1=4.59779 which lies between 4 and 5( use polynomiol calculator)
x^3-2x-88 by x-4.59779 ( polynomial calculator)
check : (4.59779)^3-2(4.59779)-88= 0( almost zero)
Does anyone know how to solve this? I don't know how to type it out so Im gonna attach a pic
Answer:
tan =-1
Step-by-step explanation:
tan(θ)=sen(θ)/cos(θ)
so
[tex]tan(angle)=\frac{\frac{-\sqrt{2} }{2} }{\frac{\sqrt{2} }{2} } }\\\\tan(angle)=-1[/tex]
Answer:
Sin (theta)=[tex] - \frac{ \sqrt{2} }{2} [/tex]Tan ( theta)= [tex] - 1[/tex]Step-by-step explanation:
[tex]cos \: \: theta \: = \frac{ \sqrt{2} }{2} = \frac{1}{ \sqrt{2} } = cos \: \frac{\pi}{4 } [/tex]
[tex]cos \: (2\pi \: - \frac{\pi}{4} ) \: \: ( \frac{3\pi}{2} < theta < 2\pi)[/tex]
[tex] = cos \: \frac{7\pi}{4} [/tex]
Theta = 7π / 4
[tex]sin \: theta = sin \: \frac{7\pi}{4} [/tex]
[tex] = sin \: (2\pi \: - \frac{\pi}{4} )[/tex]
[tex] - sin \: \frac{\pi}{4} [/tex]
[tex] = \frac{ - 1}{ \sqrt{2} } [/tex]
[tex] = - \frac{ \sqrt{2} }{2} [/tex]
Finding tan theta:
[tex]tan \: theta = tan \: \frac{7\pi}{4} [/tex]
[tex] =tan \: (2\pi - \frac{\pi}{4} )[/tex]
[tex] = - tan \: \frac{\pi}{4} [/tex]
[tex] = - 1[/tex]
Hope this helps...
Good luck on your assignment...
HELP PLEASE ITS CIRCLE STUFF In the circles shown above, AC = (pretend theres a squiggly line above the equals sign) RT. Which shaded region has a larger area? A. The area of the shaded region in A is larger. B. The area of the shaded region in R is larger. C. The areas of the shaded regions are equal. D. Which region is larger cannot be determined without the lengths of the radii of the circles. Please select the best answer from the choices provided A
Answer:
the answer would be D
Step-by-step explanation:
because without any lengths we can not figure out which circle has a lrger shaded area
sin155° = _____ sin25° sin(-25)° -sin25°
Answer:
sin 25
Step-by-step explanation:
sin(A − B) = sinA cosB − cosA sinB
sin 155
sin( 180 -25)
A = 180 B = 25
sin180 cos25 − cos180 sin25
Sin 180 = 0
cos 180 = -1
0 - (-1) sin 25
sin 25
circumference of 6cm ? help plz <3 heyyy b a e (bet you won't reply :)
Answer:
If r = 6 cm, the the circumference is c = 2π(6) = 12π cm
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST
THNXX :)
Couple more! Running out of time lol!
Answer:
A translation; (x,y) --> (x-4,y-5)
Step-by-step explanation:
This is because the figures are congruent and in the same orientation but just in different locations on the coordinate plane.
A(0,3) --> A'(-4,-2)
So, the rule is (x,y) --> (x-4,y-5)
Which of the following theorems verifies that WVU= RST
Answer:
C. HL
Step-by-step explanation:
The Hypotenuse-Leg Theorem is the only viable way to determine congruency between 2 right triangles.
) Ten randomly selected people were asked how long thy sept at night. The mean time was 7.1 hours, and the standard deviation was 0.78 hour. Find the 95% confidence interval of the mean time. Assume the variable is normally distributed
Answer:
7.1+/-0.48
= (6.62, 7.58) hours
Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours
Step-by-step explanation:
Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.
The confidence interval of a statistical data can be written as.
x+/-zr/√n
Given that;
Mean x = 7.1 hours
Standard deviation r = 0.78 hour
Number of samples n = 10
Confidence interval = 95%
z value(at 95% confidence) = 1.96
Substituting the values we have;
7.1+/-1.96(0.78/√10)
7.1+/-1.96(0.246657657493)
7.1+/-0.483449008686
7.1+/-0.48
= (6.62, 7.58) hours
Therefore, the 95% confidence interval (a,b)= (6.62, 7.58) hours
The 95% confidence interval of the mean time is (6.62,7.58) and this can be determined by using the formula of the confidence interval.
Given :
Ten randomly selected people were asked how long they slept at night. The mean time was 7.1 hours, and the standard deviation was 0.78 hour.The following steps can be used in order to determine the 95% confidence interval of the mean time:
Step 1 - The formula of the confidence interval can be used in order to determine the 95% confidence interval of the mean time.
Step 2 - The formula of the confidence interval is given below:
[tex]\rm CI = \bar{x}\pm z_{\alpha /2}\times \dfrac{\sigma}{\sqrt{n} }[/tex]
where the standard deviation is [tex]\sigma[/tex] and the sample size is 'n'.
Step 3 - Now, substitute the values [tex]\rm \bar{x}[/tex], [tex]\sigma[/tex], n and z in the above expression.
[tex]\rm CI = 7.1\pm 1.96\times \dfrac{0.78}{\sqrt{10} }[/tex]
Step 4 - Simplify the above expression.
[tex]\rm CI = 7.1\pm0.48[/tex]
So, the 95% confidence interval of the mean time is (6.62,7.58).
For more information, refer to the link given below:
https://brainly.com/question/2396419
a classical music concert is to constist of 3 cello pieces, 3 choral works, and 3 pieces for piano. In how many ways can the program be arranged if a piano piece must come first
Answer:
120,960 ways
Step-by-step explanation:
Assuming that each piece is unique, then the order of each piece matters.
There are 9 pieces in total, there are 3 options for the first piece (3 piano pieces), and the remaining 8 pieces can be permuted. The number of possible arrangements is:
[tex]n=3*\frac{8!}{(8-8)!}\\ n=3*8*7*6*5*4*3*2*1\\n=120,960\ ways[/tex]
The program can be arranged in 120,960 ways.
Marking Brainliest! 3(x-100)=?
Answer:
3x - 300
Step-by-step explanation:
Expand the brackets or use distribute law.
Answer:
[tex]3x - 300[/tex]solution,
[tex]3(x - 100) \\ = 3 \times x - 3 \times 100 \\ = 3x - 300[/tex]
hope this helps..
what is the answer to 4n-2n=4
Answer: n=2
Step-by-step explanation: 4n-2n=4
4(2)-2(2)=
8-4=4
Answer:
n=2
Step-by-step explanation:
Step by Step Solution:
More Icon
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*n-2*n-(4)=0
Step by step solution :
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
2n - 4 = 2 • (n - 2)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solving a Single Variable Equation:
2.2 Solve : n-2 = 0
Add 2 to both sides of the equation :
n = 2
"a. How many study subjects were cases? b. How many study subjects were controls? c. What was the ratio of controls to cases?"
Answer:
The description is provided following.
Step-by-step explanation:
The given question is incomplete. The complete question will be:
Brain tumors No Brain tumors
Cell Phones 63 185
No Cell Phones 96 292
The further explanation is given below.
a...
Subjects with these symptoms/diseases are recognized as "cases." Consequently, the majority of the instances would be as follows:
⇒ [tex]63+96[/tex]
⇒ [tex]159[/tex]
b...
Subjects who might not have the disorder or infection are classified as "controls." Therefore, the amount of controls is as follows:
⇒ [tex]185+292[/tex]
⇒ [tex]477[/tex]
c...
The proportion of control and monitoring of instances:
⇒ [tex]\frac{478}{159}[/tex]
⇒ [tex]3.006[/tex]
Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent the number of domestic stamps and let y represent the number of foreign stamps. This system of equations models the given information for both stamp types. x – y = 34 x + y = 212
Step-by-step explanation:
x - y = 34
x + y = 212
2x = 246
x = 123
123 + y = 212
y = 89
(123, 89)
Complete the steps to solve this linear equation: 2x + 9(x – 1) = 8(2x + 2) – 5 1.Apply the distributive property: 2x + 9x– 9 = 16x + 16 – 5 2.Combine like terms on each side: 11x – 9 = 16x + 11 3.Use the subtraction property of equality to isolate the variable term: –9 = 5x + 11 Use the subtraction property of equality to isolate the constant: –20 = 5x 4. Use the division property of equality to solve: = x
Answer:
it should be -4=x.
Answer: -4
Step-by-step explanation:
Help! Just a little more
Answer:
x = 7
y = 8
Step-by-step explanation:
4y-4 = 28
4y = 32
y = 8
10x+65 = 135
10x = 70
x = 7
Answer:
Step-by-step explanation:
(4y-4)=28
4y=32
y=8
(10x+65)=135
10x=70
x=7
How much interest is earned if $2500 is invested for 25 years at 8% simple
interest?
*
0500
50000
250
O 5000
Answer: $5,000
Step-by-step explanation: First begin with the interest formula.
Interest = Principal × Rate × Time
In this problem, we're solving for the interest.
The principal is the amount invested or $2,500.
The rate is 8% which we can write as .08.
The time is 25 years.
So we have I = (2,500)(.08)(25).
Now we multiply.
(2,500)(.08) is equal to 200.
Now, multiply 200(25) to get 5,000.
This means that the interest earned is $5,000.
Please answer this correctly
it would be possible because if it's 6 it's even if it 4 it's even if it's 2 it's even so you okay so it is certain and possible babes
2. According to the Center for Disease Control, about 1 in 80 children in the U.S. have been diagnosed with autism. Suppose you consider a group of 10 children. Find the probability that: a) None have autism; b) 4 have autism; c) at least 2 has autism.
Answer: (a) 88.18%
(b) 0.00000226%
(c) 10.7%
Step-by-step explanation:
[tex]\text{Have Autism}: \dfrac{1}{80}=0.0125\qquad \text{Don't have Autism}: \dfrac{79}{80}=0.9875[/tex]
a) 0 "Have Autism" and 10 "Don't have Autism"
(0.0125)⁰ (0.09875)¹⁰ = 0.8818
= 81.18%
b) 4 "Have Autism" and 6 "Don't have Autism"
(0.0125)⁴ (0.9875)⁶ = 0.0000000226
= 0.00000226%
c) 2 (or more) Have Autism and 8 (or less) Don't Have Autism
It is best to find the opposite and subtract from 100%
0 "Have Autism" and 10 "Don't have Autism" = 0.8818 (see part a)
or
1 "Have Autism" and 9 "Don't have Autism" = (0.0125)¹ (0.9875)⁹
= 0.0112
1 - (0.8818 + 0.0112) = 0.1070
= 10.7%
Given the GCF or LCM, what else do you know about each pair of numbers?
a) Two numbers have a GCF of 2.
b) Two numbers have an LCM of 2.
c) Two numbers have a GCF of 3.
d) Two numbers have an LCM of 10.
Answer:
LCM is half of given product.GCF is half of given product. LCM is one-third of given product.GCF is one-tenth of given product.Step-by-step explanation:
We know that'
GCF × LCM = Product of given number
1. Two numbers have a GCF of 2
= 2 × LCM = Product of given number
LCM = Product of given number / 2
LCM is half of given product.
2. Two numbers have an LCM of 2
= GCF × 2 = Product of given number
GCF = Product of given number / 2
GCF is half of given product.
3. Two numbers have a GCF of 3
= 3 × LCM = Product of given number
LCM = Product of given number / 3
LCM is one-third of given product.
4. Two numbers have an LCM of 10
= GCF × 10 = Product of given number
GCF = Product of given number / 10
GCF is one-tenth of given product.
The line segment AB with endpoints A (-3, 6) and B (9, 12) is dilated with a scale
factor 2/3 about the origin. Find the endpoints of the dilated line segment.
O A) (2, 4), (6,8)
B) (4, -2), (6,8)
O C) (-2, 4), (6,8)
OD) (-2, 4), (8,6)
Answer:
C) (-2, 4), (6,8) is the correct answer.
Step-by-step explanation:
Given that line segment AB:
A (-3, 6) and B (9, 12) is dilated with a scale factor 2/3 about the origin.
First of all, let us calculate the distance AB using the distance formula:
[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Here,
[tex]x_2=9\\x_1=-3\\y_2=12\\y_1=6[/tex]
Putting all the values and finding AB:
[tex]AB = \sqrt{(9-(-3))^2+(12-6)^2}\\\Rightarrow AB = \sqrt{(12)^2+(6)^2}\\\Rightarrow AB = \sqrt{144+36}\\\Rightarrow AB = \sqrt{180}\\\Rightarrow AB = 6\sqrt{5}\ units[/tex]
It is given that AB is dilated with a scale factor of [tex]\frac{2}{3}[/tex].
[tex]x_2'=\dfrac{2}{3}\times x_2=\dfrac{2}{3}\times9=6\\x_1'=\dfrac{2}{3}\times x_1=\dfrac{2}{3}\times-3=-2\\y_2'=\dfrac{2}{3}\times y_2=\dfrac{2}{3}\times 12=8\\y_1'=\dfrac{2}{3}\times y_1=\dfrac{2}{3}\times 6=4[/tex]
So, the new coordinates are A'(-2,4) and B'(6,8).
Verifying this by calculating the distance A'B':
[tex]A'B' = \sqrt{(6-(-2))^2+(8-4)^2}\\\Rightarrow A'B' = \sqrt{(8)^2+(4)^2}\\\Rightarrow A'B' = \sqrt{64+16}\\\Rightarrow A'B' = \sqrt{80}\\\Rightarrow A'B' = 4\sqrt{5}\ units = \dfrac{2}{3}\times AB[/tex]
So, option C) (-2, 4), (6,8) is the correct answer.
I NEED HELP PLEASE, THANKS! :)
Answer: C
Step-by-step explanation:
We can automatically eliminate D because since both matrices are 2x2, the product exists.
[tex]\left[\begin{array}{ccc}1&5\\-3&4\end{array}\right] \left[\begin{array}{ccc}2&6\\6&-1\end{array}\right] =\left[\begin{array}{ccc}1*2+5*6&1*6+5*(-1)\\(-3)*2+4*6&(-3)*6+4*(-1)\end{array}\right]=\left[\begin{array}{ccc}32&1\\18&-22\end{array}\right][/tex]
Kira is a software saleswoman. Her base salary is $1600, and she makes an additional $60 for every copy of "English is Fun" she sells. Let P represent her total pay (in dollars), and let N represent the number of of copies of "English of Fun" she sells. Write an equation relating P to N. Then use this equation to find her total pay if she sells 29 copies of "English is Fun". Equation - Total pay if Lira sells 29 copies -
Answer:
P = 1600 + 60N; $3,340
Step-by-step explanation:
Since we know she gets $1,600 as a base, and $60 each book, we have to add a variable to 60 to show how many books she sells. Your first equation will be P (which is the total) = 1,600 + 60N. Now, we have to replace N with 29. You now have P = 1,600 + 60(29) = 1,600 + 1,740 = $3,340. That's your answer!
Answer:
$3340
Step-by-step explanation:
P = $1600 (Lira's base salary) + $60 * N
P = $1600 + $60 * 29
P = $1600 + $ 1740
Therefore, P = $3340.
Grandpa and Grandma are treating their family to the movies. Matinee tickets cost $4 per child and $4 per adult. Evening tickets cost $6 per child and $8 per adult. They plan on spending no more than $80 on the matinee tickets and no more than $100 on the evening tickets. Let c represent the number of children they take to both shows and let a represent the number of adults they take to both shows. Write a system of inequalities to model this situation.
Answer:
Let the number of children taken to the movies = x
Let the number of adults taken to the movies = y
Lets talk about Matinee tickets first:
so 4$ per child/adult
4x + 4y [tex]\leq[/tex] 80 (since the budget is 80$, we can spend 80$ , hence the less- than or equal-to)
4(x+y)[tex]\leq[/tex] 80
x + y [tex]\leq[/tex] 40
So, for the matinee show, the sum of number of children and adults should be less than or equal to 40
Lets talk about the Evening show:
so 6$/child and 8$/adult
6x + 8y [tex]\leq[/tex] 100
2(3x + 4y) [tex]\leq[/tex] 100
3x + 4y [tex]\leq[/tex] 50
So, for the Evening show, the sum of 3 times the number of children and 4 times the number of adults should not exceed 50
"There is a group of people. The average height of these people is 67 inches. Is it more likely to pick an individual who is more than 68 inches tall or a sample of four people who average more than 68 inches tall
Answer:
Step-by-step explanation:
The spread of the height of each person in the group depends on the standard deviation. A low standard deviation means that the heights are closer to the mean than that of a high standard deviation. If an individual is picked, the probability of picking one who is more than 68 inches tall is small as this depends on the number of individuals in this category. The probability of picking a sample of four people who average more than 68 inches tall would be higher since average would be taken. Therefore, it is more likely to pick a sample of four people who average more than 68 inches tall
An equilateral triangular plate with sides 6 m is submerged vertically in water so that the base is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s^2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m^3.) rhog^3(3)^1/2 _______ dx = _______ N
Answer:
26,400 N
Step-by-step explanation:
PLEASE CHECK ATTACHMENT FOR COMPLETE SOLUTION
I NEED ANSWER SUPER BAD PLEASE!!!!!!!!!!!What is the greatest integer less than 100 for which the greatest common divisor of that integer and 12 is 4?
Answer:
92
Step-by-step explanation:
We will list out the numbers which are factors of 12. They include:
1, 2, 3, 4, 6, 12.
We need to get the highest number that has its greatest factor to be 4. It means that 6 and 12 cannot divide it.
To do this, we will write out the multiples of 4. They include:
4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88,92,96.
We will have to choose the highest number which only 4 can divide and 6 and 12 cannot divide.
Since we are looking for the largest, We can try dividing all the numbers by 4, 6, and 12 starting from 96.
We will quickly see that 4 can divide 92 but 6 and 12 cannot.
This gives us 92 as the answer.
Answer:
92
Step-by-step explanation:
Find the equation for the parabola that has its vertex at the origin and has directrix at x=1/48
Answer:
The equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].
Step-by-step explanation:
As directrix is a vertical line, the parabola must "horizontal" and increasing in the -x direction. Then, the standard equation for such geometric construction centered at (h, k) is:
[tex]x - h = 4\cdot p \cdot (y-k)^{2}[/tex]
Where:
[tex]h[/tex], [tex]k[/tex] - Horizontal and vertical components of the location of vertex with respect to origin, dimensionless.
[tex]p[/tex] - Least distance of directrix with respect to vertex, dimensionless.
Since vertex is located at the origin and horizontal coordinate of the directrix, least distance of directrix is positive. That is:
[tex]p = x_{D} - x_{V}[/tex]
[tex]p = \frac{1}{48}-0[/tex]
[tex]p = \frac{1}{48}[/tex]
Now, the equation for a parabola with vertex at the origin and a directrix at x = 1/48 is [tex]x= \frac{1}{12}\cdot y^{2}[/tex].
WILL GIVE BRAINLIEST! Match the equations that are the same
Answer:
1. 1/x = 8
Answer = 8x-1
2. 8x+1=3
Answer ; x=1/4
3. 7= 14/X
Answer ; x = 2
4.1/2x^2 = 2
Answer ;x=2
Step-by-step explanation:
[tex]\frac{1}{x} =8 \\8x = 1\\\\\\8x+1=3\\Collect -like- terms \\8x =3-1\\8x = 2\\Divide -both -sides- by ;8\\\frac{8x}{8} =\frac{2}{8} \\x = 1/4\\\\\\7= \frac{14}{x} \\Cross -multiply\\7x =14\\Divide-both-sides-by-7\\x = 2\\\\\\\frac{1}{2} x^{2} =2\\\frac{x^{2} }{2} =2\\Cross-multiply\\x^{2} =4\\Squre-root -both-sides\\\sqrt{x^2}=\sqrt{4} \\x = 2\\[/tex]
Answer:
1. 1/x=8 ⇒ 8x= 1
2. 8x+1= 3⇒ x=1/4
3. 7= 14/x ⇒ x =2
4. 1/2x^2= 2 ⇒ x=2 this is a repeat of one above
None is matching x=1/2
I NEED HELP PLEASE, THANKS!
Find the angle θ between u and v if u = <–9, –8 , 9> and v = <–5, –3, 9>.
47.1°
158.5°
68.5°
21.5°
Answer:
21.5°option D is the correct option.
Please see the attached picture for full solution..
Hope it helps..
Good luck on your assignment.
Answer:
21.5°
Step-by-step explanation:
Which best describes thermal energy?
Answer:
It's the third Answer: It is the portion of internal energy that can be transferred from one substance to another.
Hope this helps
Answer:
c
Step-by-step explanation:
PLEASE HELP MEEEE HURRRY!!! :)
Answer:
Option D
Step-by-step explanation:
We are given the following equations -
[tex]\begin{bmatrix}-5x-12y-43z=-136\\ -4x-14y-52z=-146\\ 21x+72y+267z=756\end{bmatrix}[/tex]
It would be best to solve this equation in matrix form. Write down the coefficients of each terms, and reduce to " row echelon form " -
[tex]\begin{bmatrix}-5&-12&-43&-136\\ -4&-14&-52&-146\\ 21&72&267&756\end{bmatrix}[/tex] First, I swapped the first and third rows.
[tex]\begin{bmatrix}21&72&267&756\\ -4&-14&-52&-146\\ -5&-12&-43&-136\end{bmatrix}[/tex] Leading coefficient of row 2 canceled.
[tex]\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ -5&-12&-43&-136\end{bmatrix}[/tex] The start value of row 3 was canceled.
[tex]\begin{bmatrix}21&72&267&756\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\\ 0&\frac{36}{7}&\frac{144}{7}&44\end{bmatrix}[/tex] Matrix rows 2 and 3 were swapped.
[tex]\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&-\frac{2}{7}&-\frac{8}{7}&-2\end{bmatrix}[/tex] Leading coefficient in row 3 was canceled.
[tex]\begin{bmatrix}21&72&267&756\\ 0&\frac{36}{7}&\frac{144}{7}&44\\ 0&0&0&\frac{4}{9}\end{bmatrix}[/tex]
And at this point, I came to the conclusion that this system of equations had no solutions, considering it reduced to this -
[tex]\begin{bmatrix}1&0&-1&0\\ 0&1&4&0\\ 0&0&0&1\end{bmatrix}[/tex]
The positioning of the zeros indicated that there was no solution!
Hope that helps!