Answer:
40 feet
Step-by-step explanation:
Have a nice day
Cómo se resuelven las ecuaciones químicas?
Answer:
La ecuación química necesita ser equilibrada para que siga la ley de conservación de la masa.
Step-by-step explanation:
What is a requirement of supplementary angles
Answer:
They both need to add up 180 degreesStep-by-step explanation:
Answer:
Supplementary angles are angles that add up to 180° so they need to add up to 180 degrees.
Step-by-step explanation:
circle is centered at (-4,-7)The circle passes through the point (-5,-9) . What is its radius?
Answer:
r = sqrt of 5 or 2.2
Step-by-step explanation:
(1)²+(2)²=r²
5 = r²
r = sqrt of 5 or 2.2
Which statement describes the system of equations?
(3x-4y=-35
(3x + 4y = 5
It has one solution (-5.5).
It has one solution (5, -5).
The system has no solution.
The system has infinitely many solutions.
Answer:
one solution
Step-by-step explanation:
3x - 4y = -35
3x + 4y = 5
6x = -30
x = -5
3(-5) + 4y = 5
-15 + 4y = 5
4y = 20
y = 5
(-5, 5)
The system of equations has one solution (-5.5) which is correct option (A).
What is the equation?The equation is the defined as mathematical statements that have a minimum of two terms containing variables or numbers is equal.
What is linear equation?A linear equation is defined as an equation in which the highest power of the independent variable is always one.
Given the system of equations as :
3x - 4y = -35
3x + 4y = 5
Addition the both equations
3x - 4y + 3x + 4y = -35 + 5
6x = -30
Divided by 6 both the sides,
x = -30/6
x = -5
Substitute the value of x =2 in the equation 3x + 4y = 5
So, 3(-5) + 4y = 5
-15 + 4y = 5
4y = 20
Divided by 4 both the sides,
y = 20/4
y = 5
So, It has one solution x = -5 and y = 5
Hence, the system of equations has one solution (-5.5).
Learn more about equation here:
brainly.com/question/10413253
#SPJ5
Plsplzplzplzplz help
Answer:
Step-by-step explanation:
Hi Sorry this took so long!
1. True
A=hbb /2 or Half of Base times Height.
2.False it would be 63
A= b * h
3.True
A=a+b/2 * h
Hope this helps!
An online movie store made $1,494 on
poster sales last week. It charged $18 for
each poster. How many posters did the
store sell?
Answer:
83 posters
Step-by-step explanation:
$1,494/$18 = 83
Answer:
An online movie store made $1,494 on poster sales last week.
It charged $18 for each poster.
=> The number of sold posters:
N = 1494/18 = 83
Hope this helps!
:)
The process of completing the square is done for f(x) = x^2 +10x + 21 to be changed into a vertex form..which step shows Three steps toward this process? why did you pick your answer ?
Answer:
And for this case we can begin completing the square like this:
[tex] f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2[/tex]
And after aggrupate the terms we got:
[tex] f(x) = (x+5)^2 +21 -25 [/tex]
And finally we have:
[tex] f(X)= (x+5)^2 -4[/tex]
And for this case our vertex would be:
[tex] (h,k) = (-5,-4) [/tex]
Step-by-step explanation:
For this case we have the following equation given:
[tex] f(x) = x^2 +10x +21[/tex]
And we want to find a formula in terms in the vertex form given by:
[tex] f(x) = a(x-h)^2 +k[/tex]
And for this case we can begin completing the square like this:
[tex] f(x) = x^2 +10x + (10/2)^2 +21 -(10/2)^2[/tex]
And after aggrupate the terms we got:
[tex] f(x) = (x+5)^2 +21 -25 [/tex]
And finally we have:
[tex] f(X)= (x+5)^2 -4[/tex]
And for this case our vertex would be:
[tex] (h,k) = (-5,-4) [/tex]
HELP PLEASE ASAP 55 POINTS I BEG YOU!!!!!!
A store had a three-day sale. On the first day the store sold 1 bicycle, 3 tricycles, and 1 unicycle for a total of $561. On the second day, 7 bicycles and 1 tricycle were sold for a total of $906. And at the third day, 2 bicycles, 7 tricycles, and 5 unicycles were sold for a total of $1758.
Set up a system and use row reduction to find the price of each item
Answer:
Bicycle : $117
Tricycle : $87
Unicycle : $183
Step-by-step explanation:
Write a system of equations:
x + 3y + z = 561
7x + y = 906
2x + 7y + 5z = 1758
Where:
x = price of bicycle
y = price of tricycle
z = price of unicycle
Solve for x, y, and z.
A ladder, leaning against a wall, makes an angle of 20° with the ground. The foot of the ladder is 3 m from the wall. How long is the ladder?
(please show work)
Answer:
0.136m
This is because if you draw a diagram, and label all the sides of the triangle (opp, hyp, adj), the adjacent angle is 3m. You can now use the sine rule to find the hypotenuse (length of ladder) by doing: cos 20= 3/h. You divide cos(20) by 3 and you get the answer of 0.13602m
Given the following system of equations:
6X1 - 6x2 - 4x3 = 0
X1 - 7x2 - 6x3 = 2
X1 +5x2 + nx3 = -2
Rewrite the system in Ax = b format and determine the following:
a. By reduction of the augmented matrix [A|b] to ref, find a value for n such that the system is consistent with an infinite number of solutions.
b. Based on your solution in part A, identify the rank of matrix A and rank of the augmented matrix [A|b].
c. Based on the value of the rank, how many equations (the row vectors of the augmented matrix [Ab]) are linearly independent?
d. Using your solution in part A, solve the system of equations using Gauss-jordan elimination.
Answer:
Step-by-step explanation:
Given:-
- The following system of equations is given:
[tex]6x_1 - 6x_2 -4x_3 = 0\\\\x_1 - 7x_2 -6x_3 = 0\\\\x_1 - 5x_2 -nx_3 = 0\\[/tex]
Solution:-
- The matrix equation consists of coefficient matrix "A" and a variable matrix " x ". These two matrices undergo multiplication to yield a solution column vector "b".
- The matrix A, is a symmetrical square matrix with its elements representing the coefficients of each variable as follows:
[tex]A = \left[\begin{array}{ccc}a_1_1&a_1_2&a_1_3\\a_2_1&a_2_2&a_2_3\\a_3_1&a_3_2&a_3_3\end{array}\right][/tex]
- Where the elements first subscript denotes the equation number and second subscript denotes the variable number.
[tex]A = \left[\begin{array}{ccc}6&-6&-4\\1&-7&-6\\1&5&n\end{array}\right][/tex]
- Similarly, the variable matrix " X " is a column vector that lists all the variables in the the system of equations in a ascending order.
[tex]X = \left[\begin{array}{c}x_1&x_2&x_3\end{array}\right][/tex]
- The solution vector " b " is the corresponding solution or any number written on the right hand side of the equals to sign " = " :
[tex]b = \left[\begin{array}{c}0&2&-2\end{array}\right][/tex]
- Now, we can express the given system in the asked format:
[tex]A*X = b\\\\\left[\begin{array}{ccc}6&-6&-4\\1&-7&-6\\1&5&n\end{array}\right]*\left[\begin{array}{c}x_1&x_2&x_3\end{array}\right] = \left[\begin{array}{c}0&2&-2\end{array}\right][/tex]
- The augmented matrix is a matrix that combines the coefficient matrix " A " and the solution vector " b ". A solution vector "b" as an extra column to the coefficient matrix:
[tex][ A | b ]\\\\ \left[\begin{array}{ccccc}6&-6&-4&|&0\\1&-7&-6&|&2\\1&5&n&|&-2\end{array}\right][/tex]
- Now we will perform row reduction operation such that the system is consistent and has infinite number of solution.
- Row operation: R3 - R2 & R1/6
[tex]\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\1&-7&-6&|&2\\0&12&n+6&|&-4\end{array}\right][/tex]
- Row operation: R2 - R1 & R3 / 12
[tex]\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\0&-6&-\frac{16}{3} &|&2\\0&1&\frac{n+6}{12} &|&-\frac{1}{3}\end{array}\right][/tex]
- Row operation: R2 / 6
[tex]\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\0&-1&-\frac{8}{9} &|&\frac{1}{3} \\0&1&\frac{n+6}{12} &|&-\frac{1}{3}\end{array}\right][/tex]
For the above system to be consistent and have infinite many solution then the coefficient of " x3 " for the 2nd and 3rd row must be equal:
[tex]-x_2 - ( \frac{n+6}{12})*x_3 = \frac{1}{3}[/tex]
[tex]-x_2 - ( \frac{8}{9})*x_3 = \frac{1}{3}[/tex]
The coefficient of " x_3 " must be equal:
[tex]( \frac{n+6}{12}) = \frac{8}{9} \\\\\\\n = \frac{14}{3}[/tex]
- The augmented matrix in reduced form becomes:
[tex]\left[\begin{array}{ccccc}1&-1&-\frac{2}{3} &|&0\\0&1&\frac{8}{9} &|&-\frac{1}{3} \\0&0&0 &|&0\end{array}\right][/tex]
Answer: Rank = Number of non-zero rows = 2
- The number of linearly independent rows are equal to the rank of the augmented matrix.
Hence,
Answer: Number of linearly independent rows = 2
Row operation: R1 + R2
[tex]\left[\begin{array}{ccccc}1&0&\frac{2}{9} &|&-\frac{1}{3} \\0&1&\frac{8}{9} &|&-\frac{1}{3} \\0&0&0 &|&0\end{array}\right][/tex]
- The variable "x_3" will take any arbitrary value for which the solution holds infinitely many solutions.
[tex]x_2 + \frac{8}{9}*x_3 = -\frac{1}{3} \\\\x_2 = - ( \frac{8}{9}*x_3 + \frac{1}{3} )\\\\x_1 + \frac{2}{9}*x_3 = -\frac{1}{3} \\\\x_1 = - ( \frac{2}{9}*x_3 + \frac{1}{3} )\\[/tex]
- Taking x_3 = α:
Answers:
[tex]x_1 = -\frac{1}{3} + \frac{2}{9} \alpha \\\\x_2 = -\frac{1}{3} + \frac{8}{9} \alpha[/tex]
Hector has three weeks
Simplify -r+8(-5r-2)
Answer:
-41r - 16
Step-by-step explanation:
Step 1 :
Step 2 :
Pulling out like terms :
2.1 Pull out like factors :
-5r - 2 = -1 • (5r + 2)
Equation at the end of step 2 :
-r + -8 • (5r + 2)
Step 3 :
Step 4 :
Pulling out like terms :
4.1 Pull out like factors :
-41r - 16 = -1 • (41r + 16)
Rivet holes are punched in steel beams. To ensure that the rivets will fit and that the joint will have adequate strength, it is necessary to control the standard deviation o the diameter, and measurements are made periodically. Ten measurements are made of nominally 1-inch-diameter holes, and the standard deviation is found to be 0.002 inches. What is the 95% confidence interval on the standard deviation? Required – confidence interval in the standard deviation → Chi-squared distribution. S = 0,002 in., n = 10, = n – 1 = 9. 95% confidence level: = 1-0.95 = 0.05.
Answer:
The 95% confidence interval for the standard deviation of the diameter is (0.0014; 0.0036).
Step-by-step explanation:
We have to calculate a confidence interval for the standard deviation.
The confidence level is 95%.
The size of the sample is n=10.
The sample standard deviation is s=0.002.
The lower limit is calculated as:
[tex]LL=s\sqrt{\dfrac{n-1}{\chi_{(1-\alpha)/2;n-1}}}\\\\\\LL=0.002\sqrt{\dfrac{10-1}{19.02}}=0.002\sqrt{0.473}=0.002*0.688=0.0014[/tex]
[tex]UL=s\sqrt{\dfrac{n-1}{\chi_{\alpha/2;n-1}}}\\\\\\UL=0.002\sqrt{\dfrac{9}{2.7}}=0.002\sqrt{3.33}=0.002*1.826=0.0036[/tex]
The 95% confidence interval for the standard deviation of the diameter is (0.0014; 0.0036).
nequality
Imagine the polynomial function shown represents the
profits, in y dollars, earned by the production of x
widgets.
What is the minimum number of widgets for the
company to earn more than 50 dollars?
widgets
Answer:
The minimum number of widgets for the company to earn more than 50 dollars = 104 widgets.
Step-by-step explanation:
Complete Question
Inequality
Imagine the polynomial function shown represents the profits, in y dollars, earned by the production of x widgets.
y = -0.04x² + 40x - 3600
What is the minimum number of widgets for the company to earn more than 50 dollars?
Solution
For the profit to be more than 50
y > 50
-0.04x² + 40x - 3600 > 50
-0.04x² + 40x - 3650 > 0
0.04x² - 40x + 3650 < 0
(x - 898.4) (x - 101.6) < 0
Using the inequality table to obtain the required solution to this inequality
Eqn | x < 101.6 | 101.6 < x < 898.4 | x > 898.4
(x - 898.4) | -ve | - ve | + ve
(x - 101.6) | -ve | + ve | + ve
(x-898.4)(x-101.6) | +ve | - ve | +ve
Hence, the inequality that satisfies the equation of (x - 898.4) (x - 101.6) < 0, that is, negative, is 101.6 < x < 898.4.
And from this range, the minimum number of widgets for the company to earn more than 50 dollars = 102 widgets.
But 102 widgets give a profit of 13 dollars, 103 widgets give a profit of 47 dollars and it is until 104 widgets that the profits exceed 50 dollars truly.
Hope this Helps!!!
Answer:4
Step-by-step explanation:
Maribel surveyed 55 people to find out their favorite types of music. The results are shown in the bar graph. Based on the information in the graph, which types of music were chosen by 40% of the people surveyed
Answer:
B. Jazz and opra
Step-by-step explanation:
40 percent of 55 is 22. Find whatever is equal to 22
B) Jazz & Opera music combo were chosen by 40% of people surveyed
Calculation of percentage respondentsGiven : Total respondents = 55
So, 40% of total respondents = 40% of 55 = 22
County & Opera are chosen by 15 + 10 = total 25 respondents, ie not equal to 40%
Jazz & Opera are chosen by 12 + 10 = total 22 respondents, ie equal to 40%
Jazz, Opera, Rock & Country, Jazz, Rock are totally more respondents.
To learn more about Percentage Respondents, refer https://brainly.com/question/8191920?referrer=searchResults
The stem-and-leaf plot shown displays the weights, in pounds, of the dogs in an animal shelter.
What is the median weight for the dogs in the animal shelter?
A.33 pounds
B.44 pounds
C.48 pounds
D.49 pounds
B =
Round your answer to the nearest hundredth.
please help
Answer:
26.39
Step-by-step explanation:
sin B = 4/9
B = inverse sin 4/9 = 26.387
The slope of a line passing through (-3,-6) and (-6,-6)
Answer:
M=0
Step-by-step explanation:
When it is operating properly, a chemical plant has a daily production rate that is normally distributed with a mean of 885 tons/day and a standard deviation of 42 tons/day. During an analysis of period, the output is measured with random sampling on 60 consecutive days, and the mean output is found to be x=875 tons/day. The manager claims that at least 95 % probability that the plant is operating properly. Is he right? Justify your answer!
Answer:
The test statistic Z = 1.844 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
Yes he is right
The manager claims that at least 95 % probability that the plant is operating properly
Step-by-step explanation:
Explanation:-
Given data Population mean
μ = 885 tons /day
Given random sample size
n = 60
mean of the sample
x⁻ = 875 tons/day
The standard deviation of the Population
σ = 42 tons/day
Null hypothesis:- H₀: The manager claims that at least 95 % probability that the plant is operating properly
Alternative Hypothesis :H₁: The manager do not claims that at least 95 % probability that the plant is operating properly
Level of significance = 0.05
The test statistic
[tex]Z = \frac{x^{-} -mean}{\frac{S.D}{\sqrt{n} } }[/tex]
[tex]Z = \frac{875 -885}{\frac{42}{\sqrt{60} } }[/tex]
[tex]Z = \frac{-10}{5.422} = -1.844[/tex]
|Z| = |-1.844| = 1.844
The tabulated value
[tex]Z_{\frac{0.05}{2} } = Z_{0.025} = 1.96[/tex]
The calculated value Z = 1.844 < 1.96 at 0.05 level of significance
Null hypothesis is accepted
Conclusion:-
The manager claims that at least 95 % probability that the plant is operating properly
Find g(x) if it is known that g(2t)=8t−1. (IWILLMARKBRAINLIEST)
Answer:
g(x) = 4x - 1
Step-by-step explanation:
We have that:
[tex]g(x) = ax + b[/tex]
So
[tex]g(2t) = a*(2t) + b[/tex]
Equaling both sides:
[tex]g(2t) = 8t - 1[/tex]
[tex]a*(2t) + b = 8t - 1[/tex]
b = -1.
And
[tex]2a = 8[/tex]
[tex]a = \frac{8}{2}[/tex]
[tex]a = 4[/tex]
Then
g(x) = 4x - 1
I need help! I don't understand!
How to you write 5,678,209 in expand form
ASAP! GIVING BRAINLIEST! Please read the question THEN answer CORRECTLY! NO guessing. Show your work OR give an explaination.
Answer:
d.
Step-by-step explanation:
x^2 because their is no other x^2
2x because their is no more x.
-7+1 equals -6
Answer:
D
Step-by-step explanation:
(f + g)(x) means that you add the two functions together, which results in (f + g)(x) = 2x + 1 + x² - 7 = D) x² + 2x - 6. Hope this helps!
What value of x is in the solution set of 4x - 12 <16 + 8x?
Step-by-step explanation:
4x - 12 < 16 + 8x
Bringing like terms on one side
-12 - 16 < 8x - 4x
-28 < 4x
-28/4 < x
-7 < x
2 lines intersect and create VERTICAL angles. One of the angles measures (3n-28) degrees and the other angle measures 83 degrees. What is the value of n? (show your work in numbers)
Answer:
n is 41.67 degrees
Step-by-step explanation:
At the intersection point of two lines, there are two angles, a and b. The sum of these two angles is 180.
In this question:
One of the angles is (3n - 28)
The other is 83.
Then
[tex]3n - 28 + 83 = 180[/tex]
[tex]3n + 55 = 180[/tex]
[tex]3n = 180 - 55[/tex]
[tex]3n = 125[/tex]
[tex]n = \frac{125}{3}[/tex]
[tex]n = 41.67[/tex]
if 6a/2=12, then a =
Answer:
a = 4
Step-by-step explanation:
Multiply by 2 on each side
6a = 24
a = 4
2. Kate's family saved 2,573 pennies last
year. Zoe's family saved 3 times as
many. How many pennies did Zoe's
family save last year?
A 8,519
B 7.729
C 7.719
D 7519
Answer:
7719
Step-by-step explanation:
2,573*3=7719
Answer:
[tex] \boxed{C. \: 7,719} [/tex]
Step-by-step explanation:
Amount saved by Kate's family last year = 2,573 pennies
Amount saved by Zoe's family last year = 3 × Amount saved by Kate's family last year
= 3 × 2,573
= 7,719 pennies
A new vaccine was recently tested to see if it could prevent the painful and recurrent ear infections that many infants suffer from. The Lancet, a medical journal, reported a study in which babies about a year old were randomly divided into two groups. One group received vaccinations; the other did not. During the following year, only 333 of 2455 vaccinated children had ear infections, compared to 499 of 2452 unvaccinated children in the control group. a) Are the conditions for inference satisfied? b) Find a 95% confidence interval for the difference in rates of ear infection. c) Use your confidence interval to explain whether you think the vaccine is effective.
Step-by-step explanation:
Random: stated
a) Conditions met Random: stated
Normal: [tex]n_{1} p_{1}=333>10[/tex]
[tex]n_{1}\left(1-p_{1}\right)=2122[/tex]
[tex]n_{2} p_{2}=499>10[/tex]
[tex]n_{2}\left(1-p_{2}\right)=1953[/tex]
Independent: Sample is less than of population.
b) (0.047,0.089) Use 2 -prop interval function of graphing utility
[tex]x_{1}: 333[/tex]
[tex]n_{1}: 2455[/tex]
[tex]x_{2}: 499[/tex]
[tex]n_{2}: 2452[/tex]
[tex]C-[/tex]Level : 0.95
c) The vaccine appears to be effective because we are 95% confident that the proportion of infants without the vaccine who got ear infections was 4.7% to 8.9% more than infants who are vaccinated.
Find the value of x.
72 + 24x = 288
Answer:
X = 9
Step-by-step explanation:
1. Subtract 72 from both sides.
24x = 216
2. Divide 24 on both sides
x = 9
Answer:
X = 9
Step-by-step explanation:
We have to separate the like terms
72 + 24x = 288
24x = 288 - 72
24x = 216
We then divide both sides by 24
X = 9
ANYONE PLZZ THIS DUE IN AN HOUR!!!! Will mark the brainliest
Answer:
Option C is correct.
Step-by-step explanation:
The area of 1 side of the divider is approximately 8 x 3 = 24 < 25
Hope this helps!
:)