Answer:
x=4
Step-by-step explanation:
Answer:
x = 4
Step-by-step explanation:
5x – 3= 17 add 3 to both sides
5x = 20 divide both sides by 5
x = 4
Help me and ill give u an oreo
Answer:
I think it would be (11,1),(2,10),(-7,1),(2,-8)
Step-by-step explanation:
Me want oreo and brainlist thx
For which situation is the use of approximate numbers most appropriate?
A. preparing your yearly taxes
B. ordering programs for a high school musical
C. paying a cashier for a meal at a fast food restaurant
D. the maximum number of basketball players on the field
A rare disease exists with which only 1 in 500 is affected. A test for the disease exists, but of course it is not infallible. A correct positive result (patient actually has the disease) occurs 95% of the time, while a false positive result (patient does not have the disease) occurs 1% of the time. If a randomly selected individual is tested and the result is positive, what is the probability that the individual has the disease?
Answer:
The probability that the individual has the disease is 1/500
Step-by-step explanation:
i found the fraction of 1 in 500 which is 1/500, hope this helps :)
dose anybody know this? could you provide the step by step
Find the equation for the plane through the point p0=(7,7,3) and normal to the vector n=6i 2j 7k.
To find the equation for the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k, we can use the formula for the equation of a plane which is Ax + By + Cz = D.
The equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:
6x + 2y + 7z = 77
This is further explained as follows:
The equation of a plane is given by:
Ax + By + Cz = D
where A, B, and C are the components of the normal vector, and D is a constant. To find A, B, and C, we can use the components of the given normal vector n=6i+2j+7k.
Therefore we have:
A = 6, B = 2, C = 7
Now, substitute the values of A, B, and C into the equation:
6x + 2y + 7z = D
To find the value of D, we can substitute the coordinates of the given point p0=(7,7,3) into the equation and solve for D. So, we have:
6(7) + 2(7) + 7(3) = D
42 + 14 + 21 = D
D = 77
Therefore, the equation of the plane through the point p0=(7,7,3) and normal to the vector n=6i+2j+7k is:
6x + 2y + 7z = 77
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Shown below is one way to solve 40 ÷ 8.
40 / 8 = ( 32 / 8) + ( 8 / 8 )
= 4 + 1
= 5
Use the given example to solve 30 ÷ 5.
Answer:
6
Step-by-step explanation:
30:5 = (25:5) + (5:5) = (5x5:5) + (5:5)= 5+1 =6
How to convert centimeters into millimeters?
Answer: Multiply the centimeters number by 10.
Step-by-step explanation: There are 10 millimeters in every centimeter.
ASAP I NEED YOU HELP 10 POINTS MARK YOU BRANLIEST JUST HELP ME!!!!
Choose the Algebraic equation that matches the table
A) y = x - 3
B) y = x + 2
C) y = x - 2
D) y = -x - 2
Answer:
C) y = x-2
Step-by-step explanation:
0-2= -2
2-2= 0
3-2= 1
4-2= 2
And all of that checks out because the values I just got for y are the same as the table
hope this helps chu <3
Factor by grouping: 16x³ +28x² - 28x - 49 = 0
A) (4x²-7) (4x + 7) = 0
B (4x² + 7) (4x + 7) = 0
C(4x² + 7) (4x - 7) = 0
D (4x² - 7) (4x - 7) = 0
Factor by grouping: 16x³ +28x² - 28x - 49 = 0 is (4x² - 7) (4x - 7) = 0
What is factoring by grouping?Large polynomials can be divided into groups based on a common factor. As a result, we may factor each distinct group and then merge like words. We refer to this as factoring by grouping.
We have the equation,
16x³ +28x² - 28x - 49 = 0
In order to solve the equation by using factor by grouping:
We find common terms in between,
So, we arrange the terms,
16x³ +28x² - 28x - 49 = 0
4x² (4x - 7) -7 (4x - 7) = 0
Here, we have common term (4x-7).
Factor out the common binomial.
(4x² - 7) (4x - 7) = 0
Therefore, (4x² - 7) (4x - 7) = 0 is the factor.
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One number is 2 less than 3 times another. If the sum of the two number is 14, find the numbers.
Solution:
Given:
A word problem.
To solve the question, we develop the statements into mathematical equations.
Hence,
Let the two numbers be represented by x and y
where;
x is one number
y is another number
\(\begin{gathered} \text{One number is 2 less than 3 times another.} \\ \text{Mathematically means;} \\ x=3y-2 \\ R\text{earranging, th}e\text{ equation becomes; }x-3y=-2\ldots\ldots\ldots\ldots.(1) \\ \text{The sum of the two numbers is 14.} \\ \text{Mathematically means;} \\ x+y=14\ldots\ldots\ldots\ldots\ldots(2) \end{gathered}\)
Solving both equations generated simultaneously, using the elimination method, we subtract equation (1) from equation (2).
That is equation (2) - equation (1);
\(\begin{gathered} x-3y=-2\ldots\ldots\ldots\ldots\text{.}\mathrm{}(1) \\ x+y=14\ldots\ldots\ldots\ldots\ldots\text{.}(2) \\ \text{equation (2)-(1);} \\ x-x+y-(-3y)=14-(-2)_{} \\ y+3y=14+2 \\ 4y=16 \\ \text{Dividing both sides by 4,} \\ y=\frac{16}{4} \\ y=4 \end{gathered}\)
Substituting the value of y gotten into equation (2) to solve for x,
\(\begin{gathered} x+y=14 \\ x+4=14 \\ x=14-4 \\ x=10 \end{gathered}\)
Hence, the solution to the equations is;
\((x,y)=(10,4)\)Therefore, the numbers are 10 and 4.
What’s another way to write the equation (40x4)-(32x4)=32
Answer:
160-128=32
Step-by-step explanation:
distribute what is in the parentheses
5. If you were told that a specific tire could roll 200 yards in 27.28 revolutions, what is the radius of the tire?
The radius of the tire is 0.5578 yards by using formula distance = circumference * number of revolutions.
What is Circumference?The circumference is a measurement that refers to the distance around the outer boundary of a closed shape, typically a circle or any other shape with a circular boundary. It is the total length of the curved line that forms the shape's outer edge, forming a complete loop or circle.
According to the given information:
To find the radius of the tire, we need to use the formula:
distance = circumference * number of revolutions
where circumference = 2 * pi * radius
Given:
distance = 200 yards
number of revolutions = 27.28 revolutions
Let's substitute the value of circumference:
distance = (2 * pi * radius) * 27.28 revolutions
Simplify:
200 yards = 2 * pi * radius * 27.28 revolutions
Divide both sides by (2 * pi * 27.28 revolutions):
radius = 200 yards / (2 * pi * 27.28 revolutions)
Evaluate:
radius ≈ 0.5578 yards
Therefore, the radius of the tire is approximately 0.5578 yards.
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Define the domain of the following:
{-2, -1, 0, 2, 5}
{-2, -1, 0, 1, 2, 3, 4, 5}
All Real Numbers
{3, -1, 3, 1, 2}
The domain of the relation in the graph is:
{-2, -1, 0, 2, 5}
How to define the domain for the graph?A relation maps elements from one set (the domain) into elements from another set (the range).
Such that the domain is represented in the horizontal axis.
In the graph, we can see the points:
{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}
The domain is the set of the first values of these points, then the domain is:
{-2, -1, 0, 2, 5}
The correct option is the first one.
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Find the value of z in the triangle shown below.
T
sdfasdfasdfAnswer:a
Step-by-step explanation:
asdfasdfsdfsdf
Answer:
x = 49
Step-by-step explanation:
180 - 112 = 68
68 - 19 = 49
x = 49
Have a good day!
What is a requirement of the data in order for us to be allowed to control for individual variability?.
Statistics help present data precisely and draw meaningful conclusions. While presenting data, one should be aware of using adequate statistical measures.
Readers are generally interested in knowing the variability within the sample, descriptive data should be precisely summarized with SD. The use of SEM should be limited to computing CI which measures the precision of population estimate. Journals can avoid such errors by requiring authors to adhere to their guidelines.
Studying the entire population is time and resource-intensive and not always feasible; therefore studies are often done on the sample, and data are summarized using descriptive statistics. These findings are further generalized to the larger, unobserved population using inferential statistics.
For example, to understand the cholesterol levels of the population, the cholesterol levels of the study sample, drawn from the same population are measured.
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Find all of the angle measurements
that have a cosine value of 0. 44.
Round to nearest whole degree
The angle measurements that have a cosine value of 0.44 are approximately 63° and 297°.
To find the angle measurements with a cosine value of 0.44, we need to use the inverse cosine function (also known as the arccosine function) on 0.44. The inverse cosine function returns the angle whose cosine value is equal to the given value.
Using a calculator or a mathematical software, we can find the inverse cosine of 0.44. The inverse cosine of 0.44 is approximately 63°. However, cosine is a periodic function, meaning it repeats itself every 360°. So, to find all possible angle measurements, we can add or subtract multiples of 360°.
Therefore, the angle measurements that have a cosine value of 0.44 are approximately 63° and 297°. These are the principal angles that satisfy the given condition, and by adding or subtracting multiples of 360°, we can find an infinite number of angles with the same cosine value.
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Select the correct answer.
What is the inverse of function f?
f(x)=10 9x+11
A.f−1(x)=9x+11 /10
B. f−1(x)=9 10x+11
C. f−1(x)=9x−99 /10
D. f−1(x)=10x−110/ 9
Edmuntem btw
PLEASEEE ANSWERRRRR ASAP!!!!
The inverse function of the given function will be f(x)⁻¹ = ( 10 ) / ( 9x - 99).
From the question, we have
f(x) = ( 10/9x) + 11
x = ( 10 / 9y ) + 11
x - 11 = ( 10 / 9y )
9y / 10 = ( 1 / ( x - 11 )
9y = 10 / ( x - 11 )
y = ( 10 ) / ( 9x - 99 )
Inverse function :
The expression that established the relationship between the dependent variable and the independent variable is referred to as a function. An inverse function is a function that is applied to the value of y after switching the values of two variables, x and y.
Complete question:
What is the inverse of function f?
f(x) = 10/9x+11
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The area of this rectangle is given by the quadratic function
A = 50W - W2
.
What is the reasonable domain for this function?
The reasonable domain for this function is 0 < x < 50
What is the domain and range of the function?The domain of a function is defined as the set of all the possible input values that are valid for the given function.
The range of a function is defined as the set of all the possible output values that are valid for the given function.
Given;
A = 50W - W2
The area of a rectangle cannot be negative;
The practical domain of A is determined when;
50W-W^2>0
Taking common factor W
W(50-W)>0
Since W must be positive W>0
50-W>0
Or equivalently
50>w
W<50
The total interval is
0<W<50
Therefore, the domain of the function will be 0 < x < 50
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evaluate 9c3 and 12p3
We need the formulas for combinations and permutations
\(\begin{gathered} \text{nCk}=\frac{n!}{k!(n-k)!} \\ \text{nPk}=\frac{n!}{(n-k)!} \end{gathered}\)Replacing the information we have
\(\begin{gathered} 9C3=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}=84 \\ 12P3=\frac{12!}{(12-3)!}=\frac{12!}{9!}=1320 \end{gathered}\)Then 9C3=84 and 12P3=1320.
In Game 1, Emeron truck out 30 time in 90 time at bat. In Game 2, he truck out 40 time in 120 time at bat. In Game 3, Emeron truck out 42 time in 140 time at bat. What i the percent of time her hit the ball
Emerson actually hit the ball 32% of times at bat.
Since in Game 1, Emerson struck out 30 times in 90 times at bat; in Game 2, he struck out 40 times in 120 times at bat; and in Game 3, Emerson struck out 42 times in 140 times at bat; To determine what percentage of times at bat did Emerson actually hit the ball, the following calculation must be performed:
(30 + 40 + 42) / (90 + 120 + 140) = X
112/350 = X
0.32 = X
Therefore, Emerson actually hit the ball 32% of times at bat.
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Find the surface area of the rectangular prism.
8 m
4 m
1 m
Answer:
A=2(wl+hl+hw)
Step-by-step explanation:
The volume of a cone is 108 pi cubic inches. Its height is 4 inches. What is the radius of the cone? Round the answer to the nearest tenth if necessary. 5. 2 in. 9 in. 34. 7 in. 81 in.
Answer:
im gonna say it would be around 9 inches, because the actual answer, a decimal, isnt an option so the closest would be around 9 in.
Question 3 The bus impedance matrix of a four-bus network with values in per unit is j0.15 j0.08j0.04 j0.07 j0.08 j0.15 j0.06j0.09 Z bus j0.04 j0.06 j0.13 j0.05 j0.07 j0.09 j0.05 j0.12 have their subtransient reactances Generators connected to buses and included in Zbus. If prefault current is neglected, find the subtransient current in per unit in the fault for a three-phase fault on bus 4. Assume the voltage at the fault is 1.0/0° per unit before the fault occurs. Find also the per-unit current from generator 2, whose subtransient reactance is 0.2 per unit. =
To find the subtransient current in per unit for a three-phase fault on bus 4, we need to calculate the fault current using the bus impedance matrix.
Given bus impedance matrix Zbus:
| j0.15 j0.08 j0.04 j0.07 |
| j0.08 j0.15 j0.06 j0.09 |
| j0.04 j0.06 j0.13 j0.05 |
| j0.07 j0.09 j0.05 j0.12 |
To find the fault current on bus 4, we need to find the inverse of the Zbus matrix and multiply it by the pre-fault voltage vector.
The pre-fault voltage vector V_pre-fault is given as:
| 1.0/0° |
| 1.0/0° |
| 1.0/0° |
| 1.0/0° |
Let's calculate the inverse of the Zbus matrix:
Zbus_inverse = inv(Zbus)
Now, we can calculate the fault current using the formula:
I_fault = Zbus_inverse * V_pre-fault
Calculating the fault current, we have:
I_fault = Zbus_inverse * V_pre-fault
Substituting the values and calculating the product, we get:
I_fault = Zbus_inverse * V_pre-fault
= Zbus_inverse * | 1.0/0° |
| 1.0/0° |
| 1.0/0° |
| 1.0/0° |
Please provide the values of the Zbus matrix and the pre-fault voltage vector to obtain the specific values for the fault current and the per-unit current from generator 2.
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Answers need to be fractions, if they are not whole numbers. No decimals
y=1/2x−7
Slope of lines parallel to line
Slope of lines perpendicular to line
The Slope of lines parallel to line is 1/2 and the Slope of lines perpendicular to line is -2.
What is the equation of a straight line ?An equation that can be written in the form of y = mx+c
where m is the slope of the line
and c is the intercept on y axis
The equation given in the question is
y=1/2x−7
in this the slope = 1/2
Intercept = -7
For parallel Lines
For a parallel line , the slope of the line is same
and is given by m = 1/2
For a perpendicular line
Slope will be equal to
-1/m
here -1/m = -2
Therefore the slope for perpendicular line is -2.
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Do these three segments make a right triangle? 16m, 30m, and 34m
Answer:
it is a right triangle
Step-by-step explanation:
i have no explanation my sister told me with no explanation sorry
Answer:
Yes, the three segments 16,30,34 make a right triangle.
Step-by-step explanation:
The three segments are the following 16,30, and 34.
We will use the Pythagorean Theorem to find out if the three numbers can make a right triangle.
- \(a^2+b^2=c^2\)
When we have 3 numbers given, our largest number is the hypotenuse.
So 34 is our hypotenuse, so we substitute it as the c in our formula.
And our a^2 and b^2 are 16 and 30!
- \(16^2+30^2=34^2\\256+900=1156\\1156=1156\)
Our formula verifies that the three segments provided can make a right triangle.
ΔABC is a right triangle. CD is the altitude of the hypotenuse AB. If m∠A=60 and CD=6, find the perimeter of ΔABC
1. AC
2. AB
3. BC
4. Perimeter of ΔABC
Answer:
1)
\(ac = 4 \sqrt{3} \)
2)
\(ab = 8\sqrt{3} \)
3) BC = 12
4) the perimeter is
\(12 + 12 \sqrt{3} \)
Does anyone know the answer?
3.91 can be written as 391/100 as an improper fraction and 3 91/100 as a mixed fraction.
What is an improper fraction:An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
It is called "improper" because its value is greater than or equal to 1, which means it can be simplified to a mixed number.
Here we have
The decimal number is 3.91
To write the given number as an improper fraction
Multiply and divide the given by 100
=> \(3.91 \times \frac{100}{100}\) = \(\frac{391}{100}\)
To write as a mixed fraction divide 391 by 100
On dividing 391 by 100 we get 3 with the remainder of 91
=> 391/100 = 3 91/100
Therefore,
3.91 can be written as 391/100 as an improper fraction and 3 91/100 as a mixed fraction.
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can you please solve thisOptions for the first box: 'AD' or 'DE'
If AD/DB = AE/EC, we can state that the line segment DE is parallel to BC, since they link endpoints for AD and AE, and DB and EC, respectively
Please answer thank u
The equations for the given graphs will be y = 2x +3 and y =-|x-1|-1.
What is an equation?An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line. A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.
The equation for the first graph is calculated by getting the slope.
Slope = Rise / Run = 3 / 1.5 = 2
Equation will be y = mx + c.
3 = 0 + c
c = 3
The equation will be written as:-
y = 2x + 3
The other equation will be:-
y =-|x-1|-1
Therefore, the equations for the given graphs will be y = 2x +3 and y =-|x-1|-1.
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Given that a = (- 8) b = 2 c = 7 and d = 11 , solve for x, y, z, and w.
[[x + y, z], [z - x, w - y]] =
[[a, b], [c, d]]
What is the value of w?
(Only type a number, nothing else)
Answer:
24
Step-by-step explanation:
Okay, let's solve this step-by-step:
1) We are given: a = -8, b = 2, c = 7, d = 11
2) We are asked to solve the matrix equation: [[x + y, z], [z - x, w - y]] = [[a, b], [c, d]]
3) Matching up the elements in the matrices:
x + y = a = -8 (1)
z = b = 2 (2)
z - x = c = 7 (3)
w - y = d = 11 (4)
4) Solving the equations:
From (1): x + y = -8 => x = -8 - y
Substitute in (3): z - (-8 - y) = 7 => z - (-8) = 7 + y => z = 15 + y
Substitute (2) into the above: 2 = 15 + y => y = 13
Substitute y = 13 into (1): -8 - 13 = -21 = x
Substitute x = -21 and y = 13 into (4): w - 13 = 11 => w = 11 + 13 = 24
Therefore, the values are:
x = -21
y = 13
z = 15
w = 24
So the final value of w is:
w = 24