Answer:
Step-by-step explanation:
I need help solving these
Solve the equation.
2x+3-2x = -+²x+5
42
If necessary:
Combine Terms
Apply properties:
Add
Multiply
Subtract
Divide
The solution to the equation is -1.5 or -3/2.
How to solve equations?We have the equation:
x² + 3-2x= 1+ x² +5
Combine Terms and subtract x² from both sides:
x² - x² + 3 -2x = 1 + 5 + x² - x²
3 -2x = 1 + 5
Add:
3 -2x = 6
Combine Terms and subtract 3 from both sides:
-2x + 3 -3 = 6 - 3
-2x = 3
Dividing by -2 we get:
x = 3/(-2)
x = -3/2
x = -1.5
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Calculate minimum and maximum frequency for acoustic
and optic mode.
( short question (
The specific range depends on the material properties and the energy levels involved.
The minimum and maximum frequencies for the acoustic and optic modes depend on the specific system or material under consideration. However, I can provide some general information.
Acoustic Mode:
The acoustic mode refers to the propagation of sound waves or vibrations in a material. In a solid, the acoustic mode can have different types, such as longitudinal and transverse modes.
The minimum frequency for the acoustic mode is typically determined by the size and physical properties of the material. In general, it can be close to zero for macroscopic objects or materials with low elasticity.
The maximum frequency for the acoustic mode depends on factors such as the speed of sound in the material and the characteristic dimensions of the system. It can range from a few kilohertz to several gigahertz.
Optic Mode:
The optic mode is related to the interaction of light with a material. It typically refers to the vibrations of charged particles (such as electrons) in a solid or the oscillations of electric or magnetic fields associated with photons.
The minimum frequency for the optic mode is typically determined by the energy gap between electronic states in the material. For example, in a semiconductor, the minimum frequency is usually in the infrared range.
The maximum frequency for the optic mode is not strictly defined, as it can extend into the terahertz, infrared, visible, ultraviolet, X-ray, and even gamma-ray regions. The specific range depends on the material properties and the energy levels involved.
It's important to note that these frequency ranges are general guidelines and can vary depending on the specific system or material being studied.
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if x= 2y-4 and x=6y+16 find the value for both x and y
In order to find the values of x and y, let's compare both values of x given:
\(\begin{gathered} x=2y-4 \\ x=6y+16 \\ \\ 2y-4=6y+16 \\ 6y-2y=-4-16 \\ 4y=-20 \\ y=-\frac{20}{4} \\ y=-5 \\ \\ x=2y-4 \\ x=2\cdot(-5)-4 \\ x=-10-4 \\ x=-14 \end{gathered}\)So we have that x = -14 and y = -5.
synthesizing the logic function = ഥ2 ഥ3 12 that uses a 2-to-1 multiplexer and necessary logic gates.
The logic function F = ഥ2 ഥ3 12 can be synthesized using a 2-to-1 multiplexer with appropriate input and output connections based on the truth table.
To synthesize the logic function F = ഥ2 ഥ3 12 using a 2-to-1 multiplexer and necessary logic gates, we need to determine the truth table for the function and then implement it using the multiplexer and gates.
The truth table for F = ഥ2 ഥ3 12 is as follows:
ഥ2 ഥ3 12 F
0 0 0 0
0 0 1 0
0 1 0 0
0 1 1 1
1 0 0 1
1 0 1 1
1 1 0 0
1 1 1 0
To implement this function using a 2-to-1 multiplexer, we can consider the select inputs as the inputs ഥ2 and ഥ3, and the data inputs as the output values (0 or 1) for F. The selection line of the multiplexer will be the input 12.
Using the truth table, we can see that when ഥ2 ഥ3 = 00 or 01 or 10, the output F is always 0. Therefore, we can connect the output corresponding to 0 (F = 0) to the output of the multiplexer.
For the case ഥ2 ഥ3 = 11, the output F is 1. Therefore, we can connect the output corresponding to 1 (F = 1) to the output of the multiplexer.
The input 12 will be connected to the select input of the multiplexer, so that when 12 = 0, the output for F = 0 will be selected, and when 12 = 1, the output for F = 1 will be selected.
In summary, the implementation of the logic function F = ഥ2 ഥ3 12 using a 2-to-1 multiplexer and necessary logic gates would involve connecting the appropriate inputs and outputs of the multiplexer based on the truth table provided.
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A car dealership has 12 sports cars, 6 sport utility vehicles, and 7 luxury cars on its lot. How many outcomes are there for randomly choosing a vehicle?.
Total number of outcomes for randomly choosing a vehicle = 25
What is outcome of an event?
Suppose an event is happening. The results which are possible in that event is known as outcome of that event.
Number of sportscar a car dealership has = 12
Number of sports utility vehicle a car dealership has = 6
Number of luxury car a car dealership has = 7
Total number of outcomes for randomly choosing a vehicle
= 12 + 6 + 7 =
= 25
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please please please help me with these four questions! giving brainly!!
Answer:
Step-by-step explanation:
Use the converse of the side-splitter theorem to determine if T R is parallel to R S. Which statement is true? Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction. Line segment TU is not parallel to line segment RS because StartFraction 32 Over 36 EndFraction not-equals StartFraction 40 Over 45 EndFraction. Line segment TU is parallel to line segment RS because StartFraction 32 Over 45 EndFraction = StartFraction 40 Over 36 EndFraction. Line segment TU is not parallel to line segment RS because StartFraction 32 Over 45 EndFraction not-equals StartFraction 40 Over 36 EndFraction.
Line segment TU is parallel to line segment RS because 32/36 = 40/45.
What is side splitter theorem?According to the "Side Splitter" Theorem, a line that crosses two sides of a triangle and runs parallel to its third side proportionally divides those two sides.
A line will divide two sides of a triangle proportionally if it runs parallel to one of the sides and intersects the other two.
Given
It is evident from the presented figure that QT=32, TR=36, QU=40, and US=45.
The opposite of the side splitter theorem asserts that a line is parallel to a third side if it divides two sides proportionally.
TU separates the two sides by a factor of in
QT/TR = 32/36 = 8/9
QU/US = 40/45 = 8/9
QT/TR = QU/US
It implies that the line TU divides the two sides equally.
Line segment TU is parallel to line segment RS using the reverse of the side splitter theorem because
32/36 = 40/45
Hence option 1 is correct.
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The complete Question is,
please find the area of the shaded region i appreciate your help
Answer:
(4/3) π units² or (b): 33.5 units²
Step-by-step explanation:
The area of a sector of a circle of radius r and central angle Ф is a fraction of the total area of the circle: (Ф/[2π]) * πr².
Here we find the area of the circle to be A = π (8 units)².
60
Multiply that by the fraction ------------- , or 1/6
360
We get: (1/6) (π (8 units)² = (4/3) π units², or approximately 33.5 units²
When I use a coordinate plane and i'm on the bottom left ...which number would i put first the one on the x axis or the one on the y axis like (-A,-B) ?
Answer:
(-x, -y)
Step-by-step explanation:
The bottom left of the coordinate plane, or quartile 3, is to the left of the x axis origin and below the y axis origin. The x axis and the y axis are merely number lines. To the left of zero are the negatives, and to the right are positives. X is always first, so it would be (-x, -y).
Answer:
the one on X axis, kinda like the alphabet, x comes before y so you put the number resembling X first, then put the number resembling Y
can i get some help about this image please?
Answer:
B=45
Step-by-step explanation:
let the supplamentary angle of <A is <d
180-A=d
180-135=d
45=d
90+d+B=180
90+45+B=180
135+B=180
B=180-135
B=45
Box of 36 rubber bands he used 1/4 of the rubber bands in the box how many rubber bands did use
Pleas help
Answer:
He used 9 rubberbands.
pls give me brainliest if correct.
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
36 divided by 1 over 4 equals 9
9+9+9+9=36
1+1+1+1=36
-----------
4 4 4 4
PLEASE HELP ASAP! WILL MARK BRAINLIEST
Solve the expression. What is the value for x?
10x + 25 = 1550
Answer:
x=152.5
Step-by-step explanation:
subtract from both sides 25 so it will be
10x=1525
then divide both by 10 so it will be
x=152.5
Henrietta decided to learn 768 new magic spells before her final exam. She plans to learn the same number each day. In the first five days, she learns exactly the number of spells she planned to learn. In the remaining days before her exam, Henrietta learns 6 more magic spells each day than planned. When she still had 1 day left before the exam, Henrietta calculated that she learned 844 new magic spells. How many spells did Henrietta plan to learn each day?
Answer:
32
Step-by-step explanation:
HELP PLZ can someone simplify this equation
7n² + 48n + 42
Combine like terms, -8n x -6n= 48n
-6 x -7= 42
Answer:
-49n^3 -n²+92n+42
Step-by-step explanation:
(7n²-8n-6)(-6n-7)
-42n^3-49n²+48n²+56n+36n+42
-49n^3 -n²+92n+42
what is wrong with this equations-4a2
∙3a5
= (4 + 3)a2+5 = 7a7
The equation \(\(-4a^2 \cdot 3a^5\)\) is incorrect.
When multiplying variables with the same base, we add the exponents. However, the equation in question attempts to distribute the exponents to the coefficients, which is incorrect.
The correct way to simplify the equation is to add the exponents of \(\(a\)\):
\(\(-4a^2 \cdot 3a^5 = (-4 \cdot 3) \cdot a^{2+5} = -12a^7\)\)
So the correct simplified form of the equation is \(\(-12a^7\)\), not \(\(7a^7\)\).
Answer: \(\(-12a^7\)\)
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5. In your part-lime job selling kitchen knives, you have two different sets available.
The better sel sells for $35, the cheaper set for $20. Last week you sold more of the
cheaper set, in fact Iwice as many as the better sets. Your receipts for the week totaled
$525. How many of the better sets did you sell?
Answer: 8.75
Step-by-step explanation:
575 divided by 3 equals 175. Divided by 20 equals 8.75. Probably rounds up to 9 but i dont know.
if katie scored a 93 on a test and her calculated z score was 2.14, what does that mean
A z-score of 2.14 indicates that Katie's score on the test is quite high and unusual, and places her in the top 2% of the scores in the population.
Katie scored a 93 on a test and her calculated z score was 2.14, that means that her score is 2.14 standard deviations above the mean of the test scores.
A z score represents the number of standard deviations a data point is from the mean of the data set.
A positive z score means that the data point is above the mean, while a negative z score means that the data point is below the mean.
The mean of the test scores was, 80 with a standard deviation of 5, then Katie's z score would be calculated as:
z = (x - μ) / σ
= (93 - 80) / 5
= 2.6
Z scores are useful for comparing data points from different data sets or for comparing data points within the same data set that are measured on different scales.
Katie's score is 2.6 standard deviations above the mean.
A z score of 2.14 would mean that Katie's score is slightly below this value, but still significantly above the mean.
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Which values of x and y satisfy the system
of equations below?
3x + 5y = 22
- 4x - 5y = -26
A. x = -4, y = 2
C. x= 2, y = 4
D. x= 4, y = 2
B. x= -2, y - 4.
Answer:
D. x= 4, y = 2
Step-by-step explanation:
Since it's multiple choice, you can plug in the values
2√180-14√20+10√45-√245
Answer:
\(2 \sqrt{180 } - 14 \sqrt{20} + 10 \sqrt{45} - \sqrt{245} \\ 15.65\)
convert 7.2 • 10^-3 to standard form.
A) 72,000
B) 7,200
C) 0.0072
D) 0.00072
Answer:
i think the answer is C
Step-by-step explanation: Because if it has a subtract sign you move decimals to the left.
3/4(24x+28)-(4x-1)
I don't understand how to get the answer.
The expression evaluates to 14x + 22.
How to evaluate the expressionFrom the question, we have the following parameters that can be used in our computation:
3/4(24x + 28) - (4x - 1)
We can start by simplifying the expression inside the parentheses:
3/4(24x + 28) - (4x - 1)
Remove the brackets
18x + 21 - 4x + 1
Evaluate the like terms
14x + 22
So, the value of the expression evaluates to 14x + 22.
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A cone has a height of 8.4 centimeters and a base with a radius of 5.2 centimeters. What is the volume of the cone?(PLEASE SOLVE IT)
Answer:
237.86 cm3
Step-by-step explanation:
V=πr2h
3=π·5.22·8.4
3≈237.85626cm³
A store bought jeans at a cost of $40 a pair. Select all the statements that are true.
The true statements are,
⇒ If the price is marked up 25%, the selling price will be $50.
⇒ If the selling price is $70, the price is marked up 75%.
What is the Cost price?
Cost price is the total amount of money that it costs a manufacturer to produce a given product or provide a service.
Given that:-
A Store bought jeans at a cost of $40 a pair.
If the price is marked up 25%, the selling price will be $50
⇒ 40 x 25 / 100 = 10
Selling Price = $50
Hence, This is true statement.
And, If the selling price is $70, the price is marked up 75%.
P = 70 - 40 = $30
40 x 75 / 100 = $30
Hence, This statement is true.
Therefore, the true statements are;
⇒ If the price is marked up 25%, the selling price will be $50.
⇒ If the selling price is $70, the price is marked up 75%.
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The complete question is this,
A store bought jeans at a cost of $40 a pair. Select all the statements that are true.
A. If the price is marked up 20%, the selling price will be $60.
B. If the price is marked up 25%, the selling price will be $50.
C. If the selling price is $65, the price is marked up 50%.
D. If the selling price is $70, the price is marked up 75%.
Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!
Answer:
my brother said it is 5 and 10... but i do not know if it is
b. If the volume of a cube is 4096 cm³ find diagonal of the cube
A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges.
The diagonal of a cube is √3 side.
If the volume of a cube is 4096 cm³ the diagonal of a cube is 16√3 cm.
What is a cube?A cube is a solid three-dimensional figure, which has 6 square faces, 8 vertices, and 12 edges.
The volume of a cube is given as:
Volume = side³
The diagonal of a cube = √3 side.
We have,
The volume of a cube = 4069 cm³
The volume of a cube = side³
4096 = side³
side = ∛4096
side = 16 cm
Now,
The diagonal of a cube:
= √3 side
= √3 x 16
= 16√3 cm
Thus,
The diagonal of a cube is 16√3 cm.
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Inequalities in Two Triangles
Answer:
It looks blurry can you make it close up?
Step-by-step explanation:
PLEASE HELPPP I DON’T UNDERSTAND ITT :(
An equation that models the relationship of the variables for Ethan's job and its days of paid vacation is y(x) = 10 + 3x.
The number of paid vacation days that Ethan has had in the eight years since work began is 30 paid vacation days.
How to find the vacation days ?We are given that Ethan starts with 10 paid vacation days and earns an additional 6 days for every two years, up to a maximum of 6 work weeks (30 days). To find an equation that models this relationship, we can set up a piecewise function as follows:
y(x) = 10 + 3x
To find out how many paid vacation days Ethan has earned after 8 years, we can plug in x = 8 into the piecewise function:
Since 8 > 6, we use the second part of the piecewise function:
y(8) = 30
So, Ethan has earned 30 paid vacation days after working for 8 years at the company.
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Completely simplify the rational expression LaTeX: \frac{7x}{3y} + \frac{12x}{9y}
Answer:
\(\frac{11x}{3y}\)
Step-by-step explanation:
\(\frac{7x}{3y} + \frac{12x}{9y}\)
To add the two fractions, you need a common denominator. In this case, the lowest common denominator (LCD) is 9y. That's because 9y is divisible by both 3y and 9y.
The first fraction must be changed so that its denominator is 9y. Do this by multiplying both numerator and denominator by 3.
\(\frac{7x}{3y}\cdot\frac{3}{3}+\frac{21x}{9y}=\frac{21x}{9y}+\frac{12x}{9y}\\=\frac{21x+12x}{9y}\\=\frac{33x}{9y}\)
Finally, this answer can be simplified ("reduced") by dividing both numerator and denominator by 3, their greatest common factor.