Answer:
https://www.khanacademy.org/
Step-by-step explanation:
I am not entirely sure what you mean however if you sign up for this website and go to whichever grade level you need you can practice all you want
The slope of the line containing the points (-5, 3) and (-2, 1) is
O-2/3
02/3
0-3/2
Answer:
Step-by-step explanation:
slope=(1-3)/(-2-(-5))
=-2/(-2+5)
=-2/3
Which polynomial is factored completely? 4 (4 x superscript 4 baseline minus 1) 2 x (y cubed minus 4 y squared 5y) 3 x (9 x squared 1) 5 x squared minus 17 x 14
The answer choice which represents a polynomial which is factored completely is; (y³ - 4y² +5)
Which polynomial is factored completely?The polynomials as given in the task content are;
4(4x⁴ -1) + 2x
(y³ - 4y² +5)
3x (9x² -1)
5x² -17x +14
Hence it follows that the polynomial which cannot be further factorised is; (y³ - 4y² +5).
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Answer:3 x (9 x squared + 1)
it is c because i did the test and put b but got it wrong
Step-by-step explanation:
Simplify the following expression 7a + 5b - 2a + b
Answer:
5a + 6bStep-by-step explanation:
Simplify the following expression:
Simplify the following expression:
7a + 5b - 2a + b =
5a + 6b
An object travels along a circular path so that it completes one revolution in 8 seconds. If the linear velocity of the object is 90pi inches per minute, what is the diameter, in inches, of the circular path?
Answer:
Using the concept of speed-distance-time, we find that the diameter of the circular path is 12 inches.
Step-by-step explanation:
Given that the object completes one revolution in 8 seconds. So, the circular speed of the object is 2πr/8 = πr/4 inches per seconds, where r is the radius of the circular path. The speed can be written as:
πr/4 inches per seconds = 60πr/4 inches per minute = 15πr inches per minute.
But, it is given that the circular speed of the object is 90π inches per minute. So,
90π = 15πr
r = 6 inches
Since, diameter is the double of radius, d = 2r = 12 inches.
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Please help me answer question 6/11
The value of a₄₁ mean the expression in 4th row and 1st column will be 2. Then the correct option is B.
The complete question is attached below.
What is the matrix?A matrix is a specific arrangement of items, particularly numbers. A matrix is a row-and-column mathematical structure. The [tex]\rm a_{ij}[/tex] element in a matrix, such as M, refers to the i-th row and j-th column element.
The matrix is given below.
[tex]\begin{bmatrix} 1&3&8&5&\\ 5&4&6&2\\6&7&1&8\\2&9&3&7&\\\end{bmatrix}[/tex]
Then the value of a₄₁ mean the expression in 4th row and 1st column will be 2.
Then the correct option is B.
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Solve for x in the equation x/5 -2=11
Answer:
x = 65Step-by-step explanation:
Solve for x in the equation
x/5 - 2 = 11
x/5 = 11 + 2
x/5 = 13
x = 5 * 13
x = 65
-----------------
check
65/5 - 2 = 11
13 - 2 = 11
11 = 11
the answer is good
Now write 40,630 in scientific notation
Answer:
40630=4.063× 10 power 4which choice is equivalent to the the expression
square root of -64
The equivalent expression of square root of -64 is 8i
How to determine the equivalent expression?We have:
square root of -64
Rewrite as:
√-64
Expand
√64 * √-1
Take the square root of 64
8√-1
In complex numbers
√-1 = i
So, we have:
8i
Hence, the equivalent expression of square root of -64 is 8i
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Using Newton-Raphson method to find the approximate root of the equation x log_{10}x=1.2
( Carry out three iterations ). [tex] \\ \\ [/tex]
Thank uh!
Answer:
[tex]x \approx 2.740646096[/tex]
Step-by-step explanation:
Given:
[tex]x\log_{10}x=1.2[/tex]
Rewrite so that it's equal to zero:
[tex]\implies x\log_{10}x-1.2=0[/tex]
Therefore:
[tex]\implies f(x)=x\log_{10}(x)-1.2[/tex]
Differentiate the function:
Use the product rule to differentiate [tex]x\log_{10}(x)[/tex]:
[tex]\textsf{Let }u=x \implies \dfrac{du}{dx}=1[/tex]
[tex]\textsf{Let }v=\log_{10}(x) \implies \dfrac{dv}{dx}=\dfrac{1}{x \ln 10}[/tex]
[tex]\begin{aligned}\implies \dfrac{dy}{dx} & = u\dfrac{dv}{dx}+v \dfrac{du}{dx}\\& = \dfrac{x}{x \ln 10}+\log_{10}(x)\\& = \dfrac{1}{\ln 10}+\log_{10}(x)\end{aligned}[/tex]
[tex]\implies f'(x)=\dfrac{1}{\ln 10}+\log_{10}(x)[/tex]
[tex]\implies f'(x)=\dfrac{1+\ln 10 \log_{10}(x)}{\ln 10}[/tex]
Newton-Rhapson iteration formula
[tex]x_{n+1}=x_n-\dfrac{f(x_n)}{f'(x_n)}[/tex]
Substitute the function and its derivative into the formula, replacing x with [tex]x_n[/tex]:
[tex]\implies x_{n+1}=x_n-\dfrac{x_n\log_{10}(x_n)-1.2}{\dfrac{1+\ln 10 \log_{10}(x)}{\ln 10}}[/tex]
[tex]\implies x_{n+1}=x_n-\dfrac{x_n\ln 10\log_{10}(x_n)-1.2\ln 10}{1+\ln 10 \log_{10}(x_n)}[/tex]
Therefore, the iteration formula is:
[tex]x_{n+1}=x_n-\dfrac{x_n\ln 10\log_{10}(x_n)-1.2\ln 10}{1+\ln 10 \log_{10}(x_n)}[/tex]
Let [tex]x_0=3[/tex]
Substitute this into the formula and carry out 3 iterations:
[tex]\implies x_{1}=3-\dfrac{3\ln 10\log_{10}(3)-1.2\ln 10}{1+\ln 10 \log_{10}(3)}=2.746149035[/tex]
[tex]\implies x_2=2.740648841[/tex]
[tex]\implies x_3= 2.740646096[/tex]
f) 234x +(234x)⁰ (x0)
Answer:
the answer is 0
Step-by-step explanation:
because anything multiply by 0 is 0.
Can make me the brainliests answerer?Please
If m∠B = 46°, and m∠D = 67°, what is m∠BEA?
67°
46°
88°
134°
simplify the mathematical expression to determine the appropriate india product or quotient in a scientific notation round round do the 1st fractor goes to the 10th place 3.3x10^3 7.8 3.7 2.1x10^-3
From the power rules, the matching of each expression with its result is:
[tex](8.6*10^7)(9.1*10^{-8})=7.8[/tex]
[tex](6.9*10^5)(4.8*10^{-3})=3.3*10^3[/tex]
[tex]\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})} =2.1*10^{-3}[/tex]
[tex]\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}=3.7[/tex]
Power RulesThere are different power rules, see some them:
1. Multiplication with the same base: you should repeat the base and add the exponents.
2. Division with the same base: you should repeat the base and subctract the exponents.
3.Power. For this rule, you should repeat the base and multiply the exponents.
4. Zero Exponent. When you have an exponent equals to zero, the result must be 1.
From this for your question, you have:
[tex](8.6*10^7)(9.1*10^{-8})[/tex] - From the distributive property of multiplication and power rules you can do:[tex](8.6*10^7)(9.1*10^{-8})=(8.6*9.1)*(10^7*10^{-8})=78.26*10^{-1}=7.8[/tex][tex](6.9*10^5)(4.8*10^{-3})[/tex] - From the distributive property of multiplication and power rules you can do:[tex](6.9*10^5)(4.8*10^{-3})=(6.9*4.8)*(10^5*10{-3})=33.12*10^2=3.3*10^3[/tex][tex]\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})}[/tex] - From the distributive property of multiplication and power rules you can do:[tex]\frac{(3.7*10^2)*(4.6*10^{-3})}{(1.4*10^{-6})*(5.7*10^{8})} =\frac{(3.7*4.6)*(10^2*10^{-3})}{(1.4*5.7)*(10^{-6}*10^{8})} =\frac{17.02*10^{-1}}{7.98*10^2} =2.13*10^{-3}=2.1*10^{-3}[/tex]
[tex]\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}[/tex] - From the distributive property of multiplication and power rules you can do:[tex]\frac{(3.1*10^5)*(5.3*10^{-9})}{(7.3*10^{2})*(6.1*10^{-7})}=\frac{(3.1*5.3)*(10^{5}*10^{-9})}{(7.3*6.1)*(10^{2}*10^{-7})} =\frac{16.43*10^{-4}}{44.53*10^{-5}}=0.36896*10^1=3.7[/tex]
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help with both please :)
Answer: I know two methods of solving both of the sums. One is the method of elimination, the other is method of substitution. You can do any of the given methods which is easier for you. Both methods will be shown below:
Method of Elimination1) 5x + y = 9 - - - - (i)
10x - 7y = - 18 - - - - (ii)
eq. (i) multiplied by 2
10x + 2y = 18 - - - - (i)
10x - 7y = - 18 - - - - (ii) {subtraction of eq. (ii) from eq. (i)}
0 + 9y = 36
y = 36/9
y = 4
From eq. (i),
5x + y = 9
-> 5x + 4 = 9
-> 5x = 9 - 4
-> x = 5/5
-> x = 1
So, x = 1 and y = 4
2) - 4x + 9y = 9 - - - - (i)
x - 3y = - 6 - - - - (ii)
eq. (ii) multiplied by 3
- 4x + 9y = 9 - - - - (i)
3x - 9y = - 18 - - (ii) {addition of eq. (ii) and eq. (i)}
- x + 0 = - 9
x = 9
From eq. (ii),
x - 3y = - 6
-> 9 - 3y = - 6
-> - 3y = -6-9
-> y = -15/-3
-> y = 5
So, x = 9 and y = 5
Method of Substitution1) 5x + y = 9 - - - - (i)
10x - 7y = - 18 - - - - (ii)
eq. (i)
5x + y = 9
-> y = 9 - 5x
Value of eq. (i) in eq. (ii)
10x - 7y = - 18
-> 10x - 7(9 - 5x) = - 18
-> 10x - 63 + 35x = - 18
-> 45x = - 18 + 63
-> x = 45/45
-> x = 1
From eq. (i),
5x + y = 9
-> 5 + y = 9
-> y = 9 - 5
-> y = 4
So, x = 1 and y = 4
2) - 4x + 9y = 9 - - - - (i)
x - 3y = - 6 - - - - (ii)
eq. (i)
- 4x + 9y = 9
-> - 4x = 9 - 9y
-> x = (9 - 9y) / -4
Value of eq. (i) in eq. (ii)
x - 3y = - 6
-> (9 - 9y) / -4 -3y = - 6
-> (9 - 9y + 12y) = - 6 * - 4
-> 3y = 24 - 9
-> y = 15/3
-> y = 5
From eq. (ii)
x - 3y = - 6
-> x - 3(5) = - 6
-> x - 15 = - 6
-> x = - 6 + 15
-> x = 9
So, x = 9 and y = 5
∩_∩
(„• ֊ •„)♡
┏━∪∪━━━━┓
hope it helped
┗━━━━━━━┛
11. Assume that a procedure yields a binomial distribution with a trial repeated n times. Use the binomial probability formula to find the probability of x successes given the probability p of success on a single trial. Round to three decimal places. n=12, x = 5, p = 0,25
A) 0.082
B) 0.091
C) 0.027
D) 0.103
Answer
D
Step-by-step explanation:
The probability of 5 successes given n = 12, x = 5, and p = 0.25 is approximately 0.082 by solving binomial probability.
The correct answer is A) 0.082.
The probability of x successes given the probability p of success on a single trial, with n trials, can be calculated using the binomial probability formula:
[tex]P(x) = (n_C_x) * p^x * (1-p)^{(n-x)[/tex]
In this case, n = 12, x = 5, and p = 0.25. Let's substitute these values into the formula:
[tex]P(5) = (12C5) * (0.25)^5 * (1-0.25)^{(12-5)[/tex]
Using the combination formula ([tex]n_C_r[/tex]) to calculate ([tex]{12}_C_5[/tex]):
[tex]P(5) = (12!)/(5!(12-5)!) * (0.25)^5 * (0.75)^7[/tex]
Simplifying the combination:
[tex]P(5) = (12!)/(5!7!) * (0.25)^5 * (0.75)^7[/tex]
Calculating the factorial terms:
[tex]P(5) = (12111098)/(54321) * (0.25)^5 * (0.75)^7[/tex]
[tex]P(5) = 792 * 0.0009765625 * 0.1334838867[/tex]
P(5) ≈ 0.082
Therefore, the probability of 5 successes given n = 12, x = 5, and p = 0.25 is approximately 0.082 by solving binomial probability.
The correct answer is A) 0.082.
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The speed of light is a constant and approximately equal to 300,000,000 meters per second.
Green lasers emit light at a wavelength of 532 nm. However, the material that is used to make most green lasers does not emit light at 532 nm. Instead, it emits light at a different wavelength, and the laser then uses a “frequency doubler.” This doubles the frequency of the emitted light, and the resultant light is the green 532 nm that we observe.
1 meter is equal to 1,000,000,000 nanometers.
What is the output light frequency of the material used before doubling?
The output light frequency of the material used before doubling will be 0.056 Hz.
What is the frequency?Frequency is defined as the number of repetitions of a wave occurring waves in 1 second.
Frequency is given by the formula as,
[tex]\rm v = \lambda \times f \\\\\ \rm f = \frac{v}{\lambda} \\\\ \rm f = \frac{3 \times 10^8}{532 \times 10^-9} \\\\ \rm f = 3 \times 10^{12} \\\\ f= 0.056 \ Hz[/tex]
Hence the output light frequency of the material used before doubling will be 0.056 Hz.
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The triangle inequality theorem states the sum of the lengths of any two sides of a triangle is _____ the length of the third side.
Answer:
see explanation
Step-by-step explanation:
the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
if the sides are a, b, c , then the following must be true
a + b > c
a + c < b
b + c > a
for the 3 sides to form a triangle
"Systems of Linear Magic"
DIRECTIONS
You are given the following system of equations. Answer the questions
below using this system.
1st Equation: 4x + y = 7
2nd Equation: 2x + y = 11
1.) Solve the system of equations by using the elimination method.
2.) Following the steps described in the "How to Create a Magic Potion"
section on page 1, let's brew a magic potion! Answer the following
questions about your "magic potion"equation.
A.) What is the factor that you have multiplied the 2nd equation by?
C.) What is the magic potion equation you have created?
3.) Using your newly created "magic potion" equation along with the original
2nd equation, solve this new system of equations by using the elimination
method.
4.) Why do you think this "magic potion" method works mathematically to
give us the exact same solution? Use at least 2 complete sentences.
The solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have a system of equations:
1st Equation: 4x + y = 7
2nd Equation: 2x + y = 11
Subtract equation 2nd from 1st
(4x + y) - (2x + y) = 7 - 11
2x = -4
x = -2
Now in equation 1st multiply by 2 and in equation 2nd multiply by 4
8x + 2y = 14
8x + 4y = 44
Subtract:
-2y = -30
y = 15
The factor is 2 and 4 for the 1st and 2nd equation respectively.
Thus, the solution of the system of equations are x = -2 and y = 15, the factor is 2 and 4 for the 1st and 2nd equation respectively.
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Which value must be added to the expression x2 16x to make it a perfect-square trinomial?
Answer:
16
Step-by-step explanation:
x^2+16x+16
(x+4)(x+4)
x^2+ 4x+4x+16
Answer:
The answer is C.) 64 on edge.
The graph shows the growth rate of a certain bacteria in a lab, where the number of bacteria depends on the number of hours since the start of the experiment.Based on the graph, what is the approximate number of bacteria after 16 hours? 6 bacteria 8 bacteria 60 bacteria 80 bacteria
The approximate number of bacteria after 16 hours is 60 bacteria ,Option C is the right answer.
What is a Function ?A function is a Mathematical statement which connects a dependent variable and an independent variable.
The graph shows the the growth rate of a certain bacteria in a lab
the number of bacteria is on the y axis and
the number of hours is on the x axis
The function is continuous ,
From the graph the approximate number of bacteria after 16 hours is
60 bacteria
Therefore Option C is the right answer.
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Partially factored form: f(x) = (x − 3)(x 3)(x2− 4x 5) use the quadratic formula to identify the zeroes of x2 − 4x 5. x =
Answer:
2 ± i
Step-by-step explanation:
by 5, I assume you mean +5
x² - 4x + 5 = 0
x = (-b±(√(b²-4ac)) / 2a
x = (4 ± (√(16 - 20)) / 2
x = (4 ± (√(-4)) / 2
√-4 = √4√-1 which is 2i
x = (4 ± 2i) / 2
x = 2 ± i
Jill has c comic books. Tonya has 4 more than twice Jill's comic books. What variable expressions represents the total number of comic books Jill & Tony have all together?
Answer:
3c + 4
Step-by-step explanation:
Forming an expression
Number of books with Jill = c
To find the number of books with Tonya, multiply 'c' by 2 and then add 4 to it.
Number of books with Tonya = 2*c + 4
= 2c + 4
Total books all together = c + 2c + 4 {Combine like terms}
= 3c + 4
please help me with my math
[tex] \sf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve for y and z ~
[tex]\qquad \sf \dashrightarrow \: z + 61 = 180[/tex]
[ Co- interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: z = 180 - 61[/tex]
[tex]\qquad \sf \dashrightarrow \: z = 119 \degree[/tex]
now,
[tex]\qquad \sf \dashrightarrow \: 5y + 14 = 119[/tex]
[ by Alternate interior angle pair ]
[tex]\qquad \sf \dashrightarrow \: 5y = 119 - 14[/tex]
[tex]\qquad \sf \dashrightarrow \: 5y = 105[/tex]
[tex]\qquad \sf \dashrightarrow \: y = 21 °[/tex]
please help
PLEASE
Answer:
Step-by-step explanation:
4567890987654345678
Round 969.991 to the nearest whole number
Answer:
Round of 969.991
970
Rules of round off
1) If the digit is odd no. the no. will increase to 1
2) if it is even the no. will be same.
Determine the relationship between the two triangles and whether or not they
can be
proven to be congruent.
Answer: These ARE congruent to each other.
Step-by-step explanation: Do you see the ''tick marks?'' They both have 1 set of 2, and 1 set of 1. If that makes sense. They also have a "angle" in one of their acute angles.
a) Copy a segment using the construction tool. Insert a screenshot of the construction here.
Alternatively, construct a segment and copy it by hand using a compass and straightedge. Leave
all circle and arc markings.
We need to understand circles and colinear points in order to use the building tool to create a circle.
What exactly is a circle?It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.
Draw arcs such that they all bisect one another at a point, which will be the center of the circle, starting with three non-colinear points (points A, B, and C).
Additionally, the radius will match the distance between the arcs' centers and their correspondingly drawn arcs.
Hence we need to understand circles and colinear points in order to use the building tool to create a circle.
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If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Exponential functionThe standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
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A set of equations is given below.
Equation C: y = 7x + 12
Equation D: y = 7x + 2
How many solutions are there to the given set of equations?
O One solution
OTwo solutions
O Infinitely many solutions
O No solution
Answer:
2
Step-by-step explanation:
lucky guess from my boi tony
Solve for r in the following equation:
5r - r - 9 = 15
what is the first step?
A. Use the subtraction property of equality
B. Use the addition property of equality
C. Combine like terms
What does the equation look like now?
(type your answer)
Use your answer and finish solving the equation for r.
R=____
An equation is formed of two equal expressions. The value of r in the given equation is 6.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The solution for the value of r in the given equation will be,
5r - r - 9 = 15
5r - r - 9 + 9 = 15 + 9
4r = 24
r = 6
A.) The first step is to Use the addition property of equality. Thus, the correct option is B.
B.) The value of r in the given equation is 6.
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What is the median of the data?
Answer:
The median is 3.
Step-by-step explanation:
Since, most of the values presented are 0-8 and median is the middle of any data set. It has to be 3.
