Answer:
5,4
Step-by-step explanation:
(x+12)23-(2x-3)+16=12+5x-1
hmmmmmmmmm
Answer:
look at the attached picture
Answer:
X = -16.75
Step-by-step explanation:
Distribute.
(x + 12)23 = 23x + 276
12 + 5x -1 = 11 + 5x
Combine like terms.
23x - 2x - 5x = 16x
11 - (276 + 3+16 ) = -284
16x = -284
x = -17.75
Please help I have been stuck on this question
Evaluate: 4 + 8 / 2 * (6 + 3)
Answer:
40
Step-by-step explanation:
4 + 8 / 2 * (6 + 3)
Parentheses first
4 + 8 / 2 * (9)
Then multiply and divide from left to right
4 + 4 * (9)
4 + 36
Then add and subtract
40
Answer:
40
Step-by-step explanation:
PEMDAS
(6+3) = 9 4+8/2*(9)
8/2 = 4 4+4*(9)
4*9 = 36 4+36
36+4 = 40 40
4/9x1/9
(Simplify the answer if possible)
For the second application, 3.2 MB has been downloaded. How much is left to download?
The amount of megabytes left to download is 6.8 mb
How to illustrate the expression?Mathematical operations include addition, subtraction, multiplication, and division. The expression x + y, for instance, consists of the terms x and y with an addition operator in between them.
In this situation, John wants to download an two applications that are 10 MB and the second application, 3.2 MB has been downloaded.
The application left to download will be:
= Total mb - mb download
= 10 - 3.2
= 6.8 mb
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Complete question
John wants to download an two applications that are 10 MB. For the second application, 3.2 MB has been downloaded. How much is left to download?
Please help me with the answer ASAP.
Answer:
y=93/5x+3
Step-by-step explanation:
Which scenario could be represented by the algebraic expression n minus 13? A) Ariel wants to find the difference of a number and 13. B) Ariel wants to find the product of 13 and a number. C) Ariel wants to find the sum of a number and 13. D) Ariel wants to find the difference of 13 and a number.
Answer:
A. Ariel wants to find the difference of a number and 13.
Step-by-step explanation:
Just took the test
Answer:
A
Step-by-step explanation:
A EDGE 2021
Ivan is a software salesman. His base salary is $2400, and he makes an additional $110 for every copy of History is Fun he sells.
Let P represent his total pay (in dollars), and let N represent the number of coples of History is Fun he sells. Write an equation relating P to N. Then use this
equation to find his total pay if he sells 24 coples of History is Fun.
The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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The total pay when he sells 24 copies of Math exists Fun should be 3760.
What is meant by equation?An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. A mathematical equation is a statement with two equal sides and an equal sign in between.
Numerical constants, symbolic names, mathematical operators, functions, and conditional expressions can all be found in expressions in some combination.
Calculation of the equation and the total pay:
His base salary is $2400, and he makes an additional $110 for every copy of Math is Fun he sells.
Here P means the total pay
So, here the equation be p = 2400 + 110 n
substitute the values in the above equation, we get
Now the total pay be
p = 2400 + 110(24)
simplifying the above equation, we get
= 2,400 + 2640
= 5040
The equation that should be related P to N should be considered as the 2400 + 110n.
Therefore, the total pay when he sells 24 copies of Math is Fun should be 5040.
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[ INDICES]- Simplify :
1. \( \large{ \tt{\frac{ {13}^{ \: 2x + 1} - 5 \times {169}^{x} }{9 \times {169}^{x} } }}\) [ Ans : 2 ]
2. \( \large{ \tt{ \frac{ {9}^{ \: n + 2} + 10 \times {9}^{n} }{ {9}^{n + 1} \times 11 - 8 \times {9}^{n} }}}\) [ Ans : 1 ]
- Please show your workings! :)
Step-by-step explanation:
Hey there!
Please see attached picture for your answer!
Hope it helps!
Answer is in the attachment.
note:
make a slight change in question 1;
A line contains the points P (-1, 4) and Q (-4, -2). Write the equation of the line in the slope-intercept form.
HELP MEEEEE I WILL GIVE U 5 STARTS
the equation of the line passing through the points P(-1,4) and Q(-4,-2) in the slope-intercept form is y = 2x + 6
To write the equation of the line the points P(-1,4) and Q(-4,-2) in the slope-intercept form y = mx + b, we need to find the slope (m) and y-intercept (b) of the line.
The slope of the line passing through two points (x1, y1) and (x2, y2) is given by:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of P and Q, we get:
m = (-2 - 4) / (-4 - (-1)) = -6 / -3 = 2
Now we can use the point-slope form of the equation of a line to find the y-intercept:
y - y1 = m(x - x1)
Substituting the coordinates of P and m, we get:
y - 4 = 2(x + 1)
Simplifying this equation, we get:
y = 2x + 6
Therefore, the equation of the line passing through the points P(-1,4) and Q(-4,-2) in the slope-intercept form is y = 2x + 6.
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Please what’s the answer
Answer:
27/20
Step-by-step explanation:
hope this answer helps you
john is constructing a satellite dish . The receiver is going to be located 15 inches above the vertex of the dish. The dish is going to be 84 inches wide. How deep will the dish be
The depth of the 84 inches wide satellite dish that has the receiver located 15 inches above the vertex is 29.4 inches.
How can the equations of a parabola be used to find the depth of the dish?The location of the receiver = 15 inches above the vertex
Width of the dish = 84 inches
The receiver of a satellite dish is normally located at the focus (focal point).
Taking the shape of the satellite dish as a parabola, and writing the equation of the parabola as x² = 4•a•y, we have;
Coordinates of the focus = (0, a)
Where;
a = The distance of the focus above the vertex
Therefore;
a = 15 inches
The dish is horizontally spaced equally about the vertex.
The farthest point horizontally from the vertex, X, of the dish corresponds to the furthest vertically from the vertex, which is the maximum depth or height, Y.
At the maximum height, from the vertex, Y, (farthest point, vertically from the vertex), we have;
X = 84 ÷ 2 = 42
Which gives;
42² = 4 × 15 × Y
Y = 42² ÷ (4 × 15) = 29.4
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A function that models the profit for a new pet-monitoring system shows that there is no profit made until the price reaches $95 per unit, a maximum profit at a price of $140 per unit, and no profit at a price over $185 per unit. Which graph models the function?
The profits at x = $185 is 0 and the graph is attached below:
What is graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
Function is to model the profits of a new pet-monitoring system, so, if the profits are y and x then y = f(x)
The curve shows that y is negative at values of x< $95, then the profits increase when x varies between $95 and $140.
The profits reach a maximum at $140 and then the profits start to reduce as x increases again.
So, the profits at x = $185 is 0.
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Answer:
a on edge
Step-by-step explanation:
I js did it
Solve this inequality. Write the solution using interval notation. x+2/x-3 ≤0
The solution to the inequality x + 2 / x - 3 ≤ 0, expressed in interval notation, is (-∞, -2] ∪ (3, ∞).
To solve the inequality x + 2 / x - 3 ≤ 0, we can first find the critical points by setting the numerator and denominator equal to zero. The critical points are x = -2 and x = 3.
We can then create a sign chart to determine the intervals where the expression x + 2 / x - 3 is positive or negative. Testing values within each interval, we find that the expression is positive to the left of -2 and between -2 and 3, and negative to the right of 3.
Finally, we note that the inequality is satisfied when the expression is less than or equal to zero. Therefore, the solution in interval notation is (-∞, -2] ∪ (3, ∞), indicating the values of x that make the inequality true.
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A baseball bat strikes a ball with an average force of 2.0 x 104 Newtons. if the bat stays in contact with the ball for a distance of 5.0 x 10-3 meter, what kinetic energy will the ball acquire from the bat?1.0 x 102 J2.0 x 102 J2.5 x 101 J4.0 x 102 J
Answer:
Step-by-step explanation:
32
Find the least common denominator (LCD)11/6 and 4/9.
Answer: 18
Step-by-step explanation:
11/6 * 3/3 = 33/18
4/9 * 2/2 = 8/18
Hope this helps! Please give brainliest :)
Find the area of the figure.
(Sides meet at right angles.)
Answer:
20 cm²
Step-by-step explanation:
L=2+3 =5cm
w= 4cm
area= 5×4
= 20cm²
Answer:
14
Step-by-step explanation:
4 x 2 = 8
3 x 2 = 6
8 + 6 = 14
A coin is biased such that it theoretically results in 2 heads in every 3 coin flips, on average. which sequence of coin flips (h for heads and t for tails) is consistent with the theoretical model?
The true statement is (C) the biased coin has about a 33% probability of displaying tails.
What is probability?Probability is an area of mathematics that deals with numerical descriptions of how probable an event is to occur or how likely a statement is to be true. The probability of an event is a number between 0 and 1, where 0 denotes the event's impossibility and 1 represents certainty.A probability formula can be used to calculate the likelihood of an occurrence by simply dividing the favorable number of possibilities by the entire number of possible outcomes.To find the true statement:
The theoretical tail-head probability of flipping an unbiased coin is equal to 50%-50%. Given that 2 heads out of the 3 coin flip, only 1 flip towards the tail. This is 1/3 or 33% of the events.That is (C) the biased coin has about a 33% probability of displaying tails.Therefore, the true statement is (C) the biased coin has about a 33% probability of displaying tails.
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The correct question is given below:
A coin is biased such that it results in 2 heads out of every 3 coin flips, on average. Which statement is true?
A.)The theoretical probability of getting heads from an unbiased coin is about 66%.
B.)The sequence HTHTTHTTT is valid for the biased coin.
C.)The biased coin has about a 33% probability of displaying tails.
D.)The sequence HTTHTHTHT is valid for the biased coin.
an angle measures 175 degrees and a circle is centered at the angle's vertex. the subtended arc formed by the angle's rays is how many times as long as 1/360th of the circle's circumference?
The subtended arc formed by the angle's rays is 175 times as long as 1/360th of the circle's circumference
What is circumference?Circumference is the perimeter of the circle or it is the length of boundary of the circle and is normally denoted by P.
formula of circumference(P) = 2πr
where r is radius of the circle.
let the circumference of the circle be 360x
then 1/360th of the circle's circumference = \(\frac{1}{360 } * 360x = x\)
length of subtended arc by \(175^0\) = \(\frac{360x}{360} * 175\) = 175x
as total angle is 360 degree is so each degree has a length of 360x/360
and hence total subtended arc by 175 degree is \(\frac{360x}{360} * 175\)
where x = 1/360 th of the circle circumference so
so the subtended arc by 175 degree is 175x which is 175 times as long as 1/360 th of the circle circumference.
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Brenda has 3 gallors of ice cream that
she will use to feed n people. How
much ice cream will each person get?
Answer:
Spell correctly please maybe I can help you
What is 4/7-(-3/8) ?
_____________________
Solution:
Exact Form:
\(\frac{4}{7}-(-\frac{3}{8}) = \frac{53}{56}\)
______________________
(^Note^)
To subtract fractions, find the LCD (Least Common Denominator), then combine.
Hope this helps! If so, please lmk! Thanks and good luck!
Answer: 53/56
Step-by-step explanation:
sorry if im wrong but since there is 2 negative signs it is going to become positive. so..
4/7+3/8
then make the denominators the same (56)
then multiply the numerators by the number you multiplied for the denominator for the question.
answer: 32/56+21/56 = 53/56
JEROME
(2/3)^2 = 2/9
can someone tell me what is Jerome mistake.
Law of Exponent
\( \displaystyle \large{( \frac{a}{b} )^{n} = \frac{ {a}^{n} }{ {b}^{n} } }\)
From the expression.
\( \displaystyle \large{( \frac{2}{3} )^{2} = \frac{ {2}^{2} }{ {3}^{2} } = \boxed{\frac{4}{9} } }\)
Jerome's mistake is that Jerome forgot to evaluate 2^2 or forgot to add 2^2. The denominator is correct but the numerator is wrong.
The image below showcases a right triangle .
My questions:
What is a c, what does that represent
What is this problem asking for me
How do I solve this problem? Are there any formulas in place?
The perimeter of triangle is 66.24 units.
What is triangle?
In Euclidean geometry, any 3 points, once non-collinear, verify a unique triangle and at the same time, a unique plane
Main body:
according to question :
c = 28
let the vertices be A,B,C
∠A= 30°
by using trigonometric ratios,
BC/ AB = sin30°
AB = C = 28
BC/28 = sin30°
BC = 28*sin30°
BC= 28*(1/2)
BC = 14
similarly
AB /CA = cos 30°
28/CA = √3/2
CA = 28*√3/2
CA = 14/√3
CA = 24.24
Hence , perimeter = AB +BC +CA = 28+14+24.24
=66.24 units
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in order to test if the mean from population a is greater than the mean from population b what kind of t-test would you use?
According to the given statement the option B and C are correct:
b) unpaired t-test
c) one-sample t-test
Briefing:We will apply an unpaired test in this situation because both populations are independent and unrelated to one another, making it impossible to pair the data from the two populations.
Consider the statement, "The mean from population A is bigger than the mean from population B," for example. This suggests that we'll utilize a single-tailed, unpaired test. Therefore, option d and b may be the best pairing.
What exactly is a one-sample t-test?To ascertain whether an unknown population mean differs from a given value, the one-sample t-test is a statistical hypothesis test.
What distinguishes a t-test with one sample from one with two samples?The t-value is calculated using your sample data from the two groups and the 2-sample t-test. The procedure is quite comparable to the 1-sample t-test, and the signal-to-noise ratio can still be compared. The 2-sample t-test necessitates independent groups for every sample, unlike the paired t-test.
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The complete question you are looking for is:
In order to test if the mean from Population A is greater than the mean from Population B what kind of t-test would you use? (can be any combination of answers)
a) two-tailed t-test
b) unpaired t-test
c) one-sample t-test
d) one-tailed t-test
e) paired t-test
Please help me ASAP! These are my last points and I really need help. Thank you!
What is the area of the composite figure?
A. 69 cm²
B. 90 cm²
C. 3168 cm²
D. 33 cm²
Required area of the composite figure is 69 cm²
What is area of a composite shape?
the area covered by any composite shape. A composite shape is a shape in which some polygons are put together to form the required shape is called the area of composite shapes . These figures can consist of combinations of triangles, rectangles, squares etc. To determine the area of composite shapes, divide the composite shape into basic shapes such as square, rectangle,triangle, hexagon, etc.
Basically, a compound shape consists of basic shapes put together. This is also called a "composite" or "complex" shape. This mini-lesson explains the area of compound figures with solved examples and practice questions.
Here in this figure, we have two figures.
First one is rectangle and second one is triangle.
Length and breadth of the rectangle are 12 cm and 4 cm respectively.
So, area = Length × Breadth = 12 × 4 = 48 cm²
Again height of the triangle is (11-4) = 7 cm and base of the triangle is (12-6) = 6 cm.
So, area of the triangle = 1/2 × 7 × 6 = 3×7 = 21 cm²
Now if we add both area of rectangle and triangle then we will get area of the composite figure.
So, required area of the composite figure is ( 48+21) = 69 cm²
Therefore, option A is the correct option.
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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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What is the area of the figure?
32 m2
can't be determined
20 m2
24 m 02
Answer:
\((2 \times 8) + ( \frac{1}{2} \times 2 \times 4) \\ = 16 + 4 \\ = 20m {}^{2} \)
Angle ADB and CD are straight lines.
angle ADC = 5 x angle CDB
Work out the size of angle ADC.
Answer:
150 degrees
Step-by-step explanation:
5 + 1 = 6
180 : 6 = 30
30 x 5 = 150
Use the diagram to find the value of x to the nearest tenth of a foot.
a. 74.6 ft.
b. 5.3 ft.
c. 15.5 ft.
d. 73.3 ft.
Answer:
a
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan15° = \(\frac{opposite}{adjacent}\) = \(\frac{20}{x}\) ( multiply both sides by x )
x × tan15° = 20 ( divide both sides by tan15° )
x = \(\frac{20}{tan15}\) ≈ 74.6 ft ( to the nearest tenth of a foot )
Match the correlation to the statement:
I cannot be confident at all.
I can be a little confident; my prediction could be close or way off.
I can be somewhat confident; my predicted value could be close but not exact.
I can be certain that my predicted value will be exact.
-1 -0.645 0 0.347
Also If someone doesnt mind can you please explain this??? I dont understand at all lol.
The correct matching relating the correlation coefficients are given as follows:
0: I cannot be confident at all.0.347: I can be a little confident; my prediction could be close or way off.0.645: I can be somewhat confident; my predicted value could be close but not exact.-1: I can be certain that my predicted value will be exact.What is a correlation coefficient?A correlation coefficient is an index that measures the association between multiple variables.
The closer the absolute value of the correlation coefficient is of 1, the stronger is the association, meaning that the statement has more certainity.
Closer to zero, the correlation coefficient gives no confidence of the assessment, and values above 0.6 are considered as indicating strong correlation.
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find the maximum rate of change of f at the given point and the direction in which it occurs. f(x, y) = 7 sin(xy), (0, 4)
The maximum rate of change of f at the point (0, 4) is 28, and it occurs in the direction of the vector (28, 0).
To find the maximum rate of change of the function f(x, y) = 7 sin(xy) at the point (0, 4), we need to compute the gradient vector ∇f(x, y) and evaluate it at the given point.
The gradient vector ∇f(x, y) of a function f(x, y) is given by the partial derivatives with respect to x and y:
∇f(x, y) = (∂f/∂x, ∂f/∂y)
Taking the partial derivatives of f(x, y) = 7 sin(xy):
∂f/∂x = 7y cos(xy)
∂f/∂y = 7x cos(xy)
Now, let's evaluate the gradient vector at the point (0, 4):
∇f(0, 4) = (7(4)cos(0), 7(0)cos(0))
= (28, 0)
The maximum rate of change of f at the point (0, 4) occurs in the direction of the gradient vector ∇f(0, 4) = (28, 0). The magnitude of this vector represents the maximum rate of change, and the direction is given by the direction of the vector.
The magnitude of the gradient vector is √(\(28^{2}\) + \(0^{2}\)) = √(784) = 28.
Therefore, the maximum rate of change of f at the point (0, 4) is 28, and it occurs in the direction of the vector (28, 0).
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