Find the solution of the system for which
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
Help ASAP!!! Pls and thx
Answer:
ture
Step-by-step explanation:
Is 8i a real or imaginary number
Answer:
imaginary
Step-by-step explanation:
can you help me with my question What dominates the political landscape in today's politics? A, two-party system B. single-party system C. multi-party system
Arrange the steps in order to simplify the expression
Answer:
Step-by-step explanation:
For step explanation:
1. write the problem
2. distinguishing the neg sign
3. distributing 3
4. moving like terms next to each other through commutative property
5. Combining like terms
6. getting rid of parentheses
find the distance between the following pairs of points (-1,5)and(-7,-3)
The distance between the points (-1, 5) and (-7, -3) is 10 units.
What is the distance between the given points?The distance formula used in finding the distance between two points is expressed as;
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
Point 1 (-1,5)
x₁ = -1y₁ = 5Point 2 (-7,-3)
x₂ = -7y₂ = -3Plug the given values into the distance formula and simplify.
D = √( ( x₂ - x₁ )² + ( y₂ - y₁ )² )
D = √[(-7 - (-1))² + (-3 - 5)²]
D = √[(-7 + 1)² + (-3 - 5)²]
D = √[-6² + (-8)²]
D = √[36 + 64]
D = √100
D = 10
Therefore, the distance is 10 units.
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An equation is shown below: 5(3x − 15) + 16 = 5x + 11 Part A: Write the steps you will use to solve the equation, and explain each step. (8 points) Part B: What value of x makes the equation true? (2 points)
The result of the unknown variable x is equivalent to 7
Solving linear equationsLinear equations are equation that has a leading degree of 1. Given the expression below:
5(3x − 15) + 16 = 5x + 11
Expand the expression
5(3x) - 5(15) + 16 = 5x + 11
15x - 75 + 16 = 5x + 11
15x - 5x - 59 - 11 = 0
10x - 70 = 0
10x = 70
Divide both sides by 10
10x/10 = 70/10
x = 7
Hence the value of x makes the equation true is 7
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Find the value of f(-9).
The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.
What is meant by the graph?In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph.
In discrete mathematics, a graph is made up of vertices—a collection of points—and edges—the lines connecting those vertices. In addition to linked and disconnected graphs, weighted graphs, bipartite graphs, directed and undirected graphs, and simple graphs, there are many other forms of graphs. A graph is a diagram that depicts the connections between two or more objects.
The function f(-9) is the -x value, find where the line is in the -y direction at -x = -9. The line crosses -y = -3 at -x = -9.
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BROOO HELP what is the slope of the line through (-3,3) and (-1,-1)?
A. 1/2
B. -1/2
C. -2
D. 2
Answer:
C
Step-by-step explanation:
We are given a line that contains the two points (-3, 3) and (-1, -1) and we want to determine the slope of the line.
To find the slope of a line given any two points, we can consider using the slope formula:
\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)
Where (x₁, y₁) and (x₂, y₂) are the two points.
We have the two points (-3, 3) and (-1, -1).
So, let (-3, 3) be (x₁, y₁) and let (-1, -1) be (x₂, y₂).
Substitute and evaluate:
\(\displaystyle\begin{aligned} m&=\frac{(-1)-(3)}{(-1)-(-3)}\\ \\ &= \frac{-1 -3 }{-1 + 3} \\ \\ &= \frac{-4}{2} \\ \\ &= -2\end{aligned}\)
So, the slope of the line is -2.
In conclusion, our answer is C.
Answer:
m=-2
Step-by-step explanation:
Its just -2 I cant explain sorry
Suppose the function S ( t ) = 2.5 cos ( 0.017 t − 1.35 ) + 7 models the amount of snowfall for a year in Anchorage, Alaska, where t = 1 is the first day of the year. Based on the function, what is the range of snowfall for Anchorage?
Answer:
4.5 to 9.5
Step-by-step explanation:
introduces a husband and wife with brown eyes who have 0.75 probability of having children with brown eyes, 0.125 probability of having children with blue eyes, and 0.125 probability of having children with green eyes. a) What is the probability that their first child will have green eyes and the second will not? b) What is the probability that exactly one of their two children will have green eyes? c) If they have six children, what is the probability that exactly two will have green eyes? d) If they have six children, what is the probability that at least one will have green eyes? e) What is the probability that the first green eyed child will be the 4th child? f) Would it be considered unusual if only 2 out of their 6 children had brown eyes?
The probability of their first child having green eyes is 0.125, and the probability of their second child not having them is 0.875.
What is a probability?Probability is an estimate of how likely an occurrence is to occur. It's a figure between 0 and 1, where 0 means the event is unlikely and 1 means the event is certain. A likelihood of 0.5 (or 50%) indicates that the occurrence has an equal chance of occurring or not occurring.
In the given question,
a) The probability of their first child having green eyes is 0.125. The probability of their second child not having green eyes is 1 - 0.125 = 0.875. Therefore, the probability that their first child will have green eyes and the second will not is 0.125 x 0.875 = 0.1094.
b) The probability of exactly one of their two children having green eyes can be calculated in two ways: either the first child has green eyes and the second doesn't, or the first child doesn't have green eyes and the second does. The probability of the first scenario was calculated in part (a) to be 0.1094, and the probability of the second scenario is the same, so the total probability is 2 x 0.1094 = 0.2188.
c) The probability of exactly two out of six children having green eyes can be calculated using the binomial distribution with n = 6, p = 0.125, and k = 2. The formula for this probability is:
P(k=2) = (6 choose 2) x \(0.125^2 x (1 - 0.125)^4\) = 0.1936
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6.
d) The probability of at least one of their six children having green eyes is the complement of the probability that none of them do. The probability that any one child doesn't have green eyes is 1 - 0.125 = 0.875, so the probability that none of the six children have green eyes is \(0.875^6\) = 0.1779. Therefore, the probability that at least one of their six children has green eyes is 1 - 0.1779 = 0.8221.
e) The probability that the first green-eyed child will be the fourth child is the probability that the first three children do not have green eyes, multiplied by the probability that the fourth child has green eyes, multiplied by the probability that the fifth and sixth children do not have green eyes. The first three children have a probability of \((1-0.125)^3\) = 0.578 to not have green eyes. The fourth child has a probability of 0.125 to have green eyes. The probability that the fifth and sixth children do not have green eyes is \((1-0.125)^2\) = 0.765625. Therefore, the probability that the first green-eyed child will be the fourth child is 0.578 x 0.125 x 0.765625 = 0.0557.
f) It would depend on the context and the specific definition of "unusual." If the expected number of brown-eyed children is 0.75 x 6 = 4.5, then having only 2 out of 6 children with brown eyes is below average. However, the probability of this exact outcome can be calculated using the binomial distribution with n = 6 and p = 0.75:
P(k=2) = (6 choose 2) x \(0.75^2 x (1 - 0.75)^4\) = 0.0986
where (6 choose 2) = 6!/(2!4!) = 15 is the number of ways to choose 2 children out of 6. This probability is not very low (less than 10%), so it might not be considered unusual in a statistical sense.
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Each cement block is 9 centimeters thick and each clay block is 5 centimeters thick. Xavier made a stack of 17 blocks that was 113 centimeters thick. How many of each type of block did Xavier use?
Using a system of equations, the number of each type of block Xavier used is as follows:
7 cement blocks10 clay blocks.What is a system of equations?A system of equations is two or more equations solved simultaneously or concurrently.
A system of equations is also described as simultaneous equations.
Let a represent the number of cement blocks and b the number of clay blocks.
9a + 5b = 113 ... Equation 1
a + b = 17 ... Equation 2
Multiply Equation 2 by 9:
9a + 9b = 153 ... Equation 3
Subtract Equation 1 from Equation 3:
9a + 9b = 153
-
9a + 5b = 113
4b = 40
b = 10
In Equation 2, substitute b = 10:
a + b = 17
a + 10 = 17
a = 7
Thus, Xavier used 7 cement blocks and 10 clay blocks to make the stack of 17 blocks that was 113 centimeters thick.
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which triangle has three angles with the same measure?
Answer:
equilateral triangle
Step-by-step explanation:
the volume of a cylinder is 196x in. 3 and the hight of the cylinder is 1 in. what is the radius of the cylinder
The radius of the cylinder is 7. 9 in
How to determine the radiusFirst, we need to know the formula for volume of a cylinder
The formula for calculating the volume of a cylinder is expressed as;
V = πr²h
Such that the parameters of the formula are expressed as;
V is the volume of the cylinderr is the radius of the cylinder h is the height of the cylinderFrom the information given, we have that;
Substitute the values
196 = 3.14 × 1 × r²
Divide both sides by the values
r² = 62. 42
Find the square root of both sides
r = 7. 9 in
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HELPPPP
Find the product of (x + (3+5i))2.
Answer:
Use identities:
(a + b)² = a² + 2ab + b²i² = -1Simplify:
(x + (3 + 5i))² = x² + 2x(3 + 5i) + (3 + 5i)² = x² + 6x + 10xi + 9 + 30i - 25 = x² + 6x + 10xi + 30i - 16Identity used:-
\(\boxed{\sf (a+b)^2=a^2+b^2+2ab}\)
Now
\(\\ \sf\longmapsto (x+(3+5i))^2\)
\(\\ \sf\longmapsto x^2+2x(3+5i)+(3+5i)^2\)
\(\\ \sf\longmapsto x^2+6x+10xi+3^2+2(3)(5i)+(5i)^2\)
i^2=-1\(\\ \sf\longmapsto x^2+6x+10xi+9+30i-25\)
\(\\ \sf\longmapsto x^2+6x+10xi+30i+9-25\)
\(\\ \sf\longmapsto x^2+6x+10xi+30i-16\)
Evaluate functions from their graph g(−9)=
See the Correct Answer Attached!
Evaluating the function from the given graph, g(-9) = 1.
How to Evaluate a Function?To find the value of a function for a given x-value using a given graph, trace the x-value against the corresponding y-value on the y-axis.
To evaluate the function from the graph given, for g(-9), find the y-value that corresponds to the x-value of -9.
The graph shows that when x = -9, the corresponding y-value is 1.
Therefore, g(-9) = 1.
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What is the average rate of change of the functionf(x) = 2x² - 5x on the interval [2, 4]?
The average rate of change is______
Answer:
7
Step-by-step explanation:
the average rate of change of f(x) in the closed intrval [ a, b ] is
\(\frac{f(b)-f(a)}{b-a}\)
here [ a, b ] = [ 2, 4 ] , then
f(b) = f4) = 2(4)² - 5(4) = 2(16) - 20 = 32 - 20 = 12
f(a) = f(2) = 2(2)² - 5(2) = 2(4) - 10 = 8 - 10 = - 2 , then
average rate of change = \(\frac{12-(-2)}{4-2}\) = \(\frac{12+2}{2}\) = \(\frac{14}{2}\) = 7
Please help been stuck on this for hours
The size of angle ACB to the nearest degree is 88 degree.
How is a triangle ABC put together?
Construction Steps:
Create a line segment BC with the property AC = 4 cm.
Draw two arcs that meet at point A by using B as the centre and a radius of 4 cm, and C as the centre and a radius of 7 cm.
Join AB and AC now. Consequently, the necessary triangle is ABC.
With the use of a compass, draw a line segment AB = 7 cm from A, cutting an arc AC = 4 cm.
Cut an arc of 3 cm from point B.
Embrace BC and AC
Triangle with angle ABC is necessary.
< ACB = 88 degree
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What is the correct answer for this
The smallest to the largest side is SQ, RS, QR, the correct option is B.
What is a Triangle?A triangle is a polygon with three sides, angles, and vertices.
The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse, acute and right-angled triangle and scalene, isosceles and equilateral triangle.
The measure of angle of the triangle is 56°, 83°, and 41°.
From the property of the triangle, the side opposite the bigger measure angle is the largest.
The measure of angle QRS is 41°, angle RQS is 56°, and angle QSR is 83°.
The smallest side will be the side opposite to QRS, i.e. SQ,
The largest side will be the side opposite to QSR, i.e. QR
The side in order from the smallest to the largest, SQ, RS, QR.
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Pls help me on this question
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
If probablikty is 5/12 then, not picking is 7/12
Consider the function f(x)=(x+2)^2 for the Domain [-2, +infinity). find f^-1(x), where f^-1 is the inverse of f. Also state the domain of f^-1 in internal notation.
SOLUTION
Step 1 :
In this question, we are meant to consider the function,
\(f(x)=(x+2)^2\text{ for the domain }\lbrack\text{ 2 , }\infty\text{ })\)Step 2 :
We are meant to find the inverse of f as follows:
\(\begin{gathered} \text{Let y = f ( x )} \\ y=(x+2)^2 \\ \text{Taking the square - root of both sides, we have that :} \\ \sqrt[\square]{y}\text{ = x + 2} \\ \text{Simplifying further, we have that:} \\ x\text{ = }\sqrt[]{y\text{ }}\text{ - 2} \\ f^{-1}(\text{ x) = }\sqrt[]{x\text{ }}\text{ - 2 = y} \\ \text{Therefore y = }\sqrt[]{x\text{ }}\text{ - 2} \end{gathered}\)Step 3 :
For the second part of the question,
We need to get the domain of
\(f^{-1}(\text{ x)}\)\(\begin{gathered} \text{The domain of f}^{-1}(\text{ x ) = x }\ge\text{ 0 } \\ =\text{ }\lbrack\text{ 0 , }\infty\text{ ) ---- Interval notation.} \end{gathered}\)Which graph represents 12 = 3x + 4y line a, line b, line c
Answer:
green line or "b"
Step-by-step explanation:
we can set this up into the slope intercept form
y=mx+b
where m is the slope and b is y intercept
12=3x+4y
-3x -3x
-3x+12=4y
/4. /4. /4
-3/4x+3=y
we can see the only line with a negative slope and a y intercept at 3 is the green line or "b"
hopes this helps please mark rainliest
Find the area of the shape below. 5yd 7yd
Answer:
45.99 yd²
Step-by-step explanation:
The square is 5 yd × 7 yd
35 yd²
The circle = 2 × pi × radius
2 × 3.14 × 3.5
21.99115 rounds to 21.98 yd²
Since it is have a circle,
21.98 yd² ÷ 2
10.99 yd²
35 yd² + 10.99 yd²
45.99 yd²
In a recent year 17.4% of all registered doctors were female if they were 48,600 female registered doctors yet that year what was the total number of registered doctors?
Answer:
324309
doctors were registered that year.
Step-by-step explanation:
The questions says, "18.1% of all registered doctors are females"
(Consider, total number of registered doctors as \(x\))
that's, 18.1 % of \(x\) are female.
and 18.1% of \(x\) is 58,700
.
What number gives a result of −1 when 9 is subtracted from the quotient of the number and 4?
Step-by-step explanation:
x/4 - 9 = -1
×/4 = -1 + 9
x/4 = 8
4 (x/4) = 4 (8)
x = 32
Answer:
32
Step-by-step explanation:
(Quotient of a and b = a/b)
Let the number = x
Quotient of the number and four: x/4
9 subtracted from the quotient of the number and four: x/4 - 9
-1 is the result of 9 subtracted from the quotient of the number and four: x/4 - 9 = -1
x/4 -9 = -1
x/4 = 8
x = 32
\(\int\limits^5_1 {x^2+2x-tanx} \, dx\)
The definite integral for this problem has the result given as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx = 212 - \ln{|\sec{5}|} + \ln{|\sec{1}|}\)
How to solve the definite integral?The definite integral for this problem is defined as follows:
\(\int_1^5 x^2 + 2x - \tan{x} dx\)
We have an integral of the sum, hence we can integrate each term, and then add them.
For the first two terms, applying the power rule, the integrals are given as follows:
Integral of x² = x³/3.Integral of 2x = 2x²/2 = x².The integral of the tangent is given as follows:
ln|sec(x)|
Then the integral is given as follows:
I = x³/3 + x² - ln|sec(x)|, from x = 1 to x = 5.
Applying the Fundamental Theorem of Calculus, the result of the integral is obtained as follows:
I = 5³/3 + 5² - ln|sec(5)| - (1³/3 + 1² - ln|sec(1)|)
I = 625/3 - 1/3 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 208 + 5 - 1 - ln|sec(5)| + ln|sec(1)|
I = 212 - ln|sec(5)| + ln|sec(1)|.
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Pls hurry im timed ...................................
Answer: 12 miles west
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
quiz 8-2 trigonometry unit 8
Answer:
The results are presented below.
Question 1 - sin L = \(\frac{3}{5}\)
Question 2 - tan N= \(\frac{4}{3}\)
Question 3 - cos L = \(\frac{4}{5}\)
Question 4 - sin N= \(\frac{4}{5}\)
Question 5 - x=8.5
Question 6 - x=27.2
Step-by-step explanation:
For solving this question, you need to apply the right triangle properties and trigonometric ratios in each triangle.
Question 1This question asks the sin L. You can find this value from the trigonometric ratio of sin from given right triangle:
\(sin L=\frac{opposite}{hypotenuse} \\\\ sin L=\frac{6}{10}=\frac{3}{5}\)
Question 2This question asks the tan L. You can find this value from the trigonometric ratio of tan from given right triangle:
\(tan N=\frac{opposite}{adjacent} \\\\\)
The question gives the adjacent side for N, but you need to find the opposite side from Pythagorean theorem.
\(10^2=6^2+(ML)^2\\ 100=36+(ML)^2\\ (ML)^2=100-36\\ (ML)^2=64\\ (ML)=\sqrt{64} \\ (ML)=8\\ or \\ (ML)=-8\)
There is not side with negative dimension, hence, ML=8. Now, you can find the tangent of N.
\(tan N=\frac{8}{6} =\frac{4}{3}\)
Question 3This question asks the cos L. You can find this value from the trigonometric ratio of cos from given right triangle:
\(cos L=\frac{adjacent}{hypotenuse}\)
The adjacent side (ML) you found in the question 2. ML=8, therefore:
\(cos L=\frac{adjacent}{hypotenuse}\\ \\ cos L=\frac{8}{10}=\frac{4}{5}\)
Question 4This question asks the sin N. You can find this value from the trigonometric ratio of sin from given right triangle:
\(sin N=\frac{opposite}{hypotenuse} \\\\ sin N=\frac{8}{10}=\frac{4}{5}\)
Question 5You can find x from the trigonometric ratio of cos :
\(cos 32=\frac{adjacent}{hypotenuse}\\ \\ cos 32=\frac{x}{10}\)
From calculator, you have cos 32° = 0.8480. Then,
\(cos 32=\frac{adjacent}{hypotenuse}\\ \\ 0.8480=\frac{x}{10}\\ \\ x=8.5\)
Question 6You can find x from the trigonometric ratio of sin:
\(sin 54=\frac{opposite}{hypotenuse}\\ \\ sin 54=\frac{22}{x}\)
From calculator, you have sin 54° = 0.8090. Then,
\(sin 54=\frac{opposite}{hypotenuse}\\ \\ 0.8090=\frac{22}{x}\\ \\ 0.8090x=22\\ \\ x=\frac{22}{0.8090} \\ \\ x=27.2\)
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Answer:
Step-by-step explanation:
help i need to pass this edmentum
Answer:
Pick c, 2/27
Step-by-step explanation:
Bag #1 has 4 + 6 + 3 + 5 = 18 total tiles.
4 are black.
So prob (black) from bag 1 = 4/18.
Bag #2 has 3 + 2 + 3 + 1 = 9 total tiles.
3 are black.
So prob(black) from bag 2 = 3/9.
Multiply those 2 independent probabilities together.
(4/18) x (3/9) = (2/27)
Write the expression in words 25+24 divide 6
The expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.
How to illustrate the information?It should be noted that an expression simply shows the relationship that exists between the variables.
In this case + means addition.
Therefore, the expression in words 25+24 divide 6 will be the addition of 25 and 24 divided by 6.
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Can someone help me
The scale factor that was used to convert triangle ABC into the image in A ' B ' C ' is 1 / 2.
How to find the scale factor ?To find the scale factor, you need to find the length of a side of triangle ABC and then the length of the corresponding side in A ' B ' C '.
The side length we will pick is AB which is:
= 6 - 2
= 4 units
The side length of the other triangle is A' B' :
= 3 - 1
= 2 units
The scale factor is:
= 2 / 4
= 1 / 2
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