Answer:
Step-by-step explanation:
3x+2=14 subtract 2 from both sides
3x=12 divide both sides by 3
x=4
PLEASE IF ANYONE CAN HELP JUST ANSWERS 1-8 (giving brainliset)
The computation of the equations is illustrated below.
How to illustrate the equation?a. x - y = 1 .... i
x + y = -9 ..... ii
Subtract the equations
-2y = 10
y = 10/-2 = -5
Since x - y = 1
x - (-5) = 1
x + 5 = 1
x = 1 - 5 = -4
b. 3x + 2y = -9
x - y = -13
Multiply equation i by 1
Multiply equation ii by 3
3x + 2y = -9
- 3x - 3y = -39
5y = 30
y = 6
Since x - y = 13
x - 6 = 13
x = 13 + 6 = 19
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Which parent function is f(x) = x²?
A. The quadratic parent function
B. The linear parent function
C. An exponential parent function
D. The absolute value parent function
Answer:
A
Step-by-step explanation:
It is the quadratic parent function
Please answer this question for me
Answer: B
Step-by-step explanation:
The vertical asymptotes are at x=-4 and x=1, so the denominator needs to have factors of (x+4) and (x-1).
This eliminates everything except for B.
Problem Set 3.1: Characteristics of the Mean Criterion: Explain a distribution. Instructions: Read the following and answer the questions. Data: To study perception, a researcher selects a sample of participants (n = 12) and asks them to hold pairs of objects differing in weight, but not in size, one in each hand. The researcher asks participants to report when they notice a difference in the weight of the two objects. Below is a list of the difference in weight (in pounds) when participants first noticed a difference. Answer the following questions based on the data given in the table. Difference in Weight 4 8 9 5 12 7 6 15 10 4 8 8 1. State the following values for this set of data: a) Mean ___8____ b) Median ___8____ c) Mode(s) ___8____ 2. What is the shape of this distribution? Hint: Use the values of the mean, median, and mode to infer the shape of this distribution. _____________
1a.The mean is 8.
b. The median is 8.
c. The mode is 8.
2. The shape of the data is: perfectly symmetrical distribution.
How to Find the Mean of a Data Set?To find the mean of the data set given for the difference in weight, 4, 8, 9, 5, 12, 7, 6, 15, 10, 4, 8, 8, 1, add all the values and divide by the number of values given, which is, n = 12.
Mean = (4 + 8 + 9 + 5 + 12 + 7 + 6 + 15 + 10 + 4 + 8 + 8)/12
Mean = (96)/12
Mean = 8
How to Find the Median?The median is the center of the data when it is ordered.
Ordered data: 4, 4, 5, 6, 7, 8, 8, 8, 9, 10, 12, 15
The center (median) is the average of the two center values = (8 + 8)/2 = 16/2
Median = 8
How to Find the Mode?The mode of the data is 8, because 8 appeared most in the data set.
The mean is 8.
The median is 8.
The mode is 8.
Thus, when the mean, median, and mode of a data set are the same, then it means the data is non-skewed or perfectly symmetrical.
Therefore the shape of the data is: perfectly symmetrical distribution.
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! PLEASE HELP ! Mr. Herman had $120 and Mr. Chandra had $80. After each of them had paid for a concert ticket,
Mr. Herman had 3 times as much money as Mr. Chandra. (a) How much was the ticket? (b) How
much money did Mr. Chandra have left?
Answer:
Step-by-step explanation:
let x be the price of ticket,then
120-x=3(80-x)
120-x=240-3x
3x-x=240-120
2x=120
x=120/2=60
Price of ticket=$60
Mr.Chandra has 80-60=20 $ after buying the ticket.
find the product. simplify your answer
cancel by 3
8/21Answer:
[tex]\sf \dfrac{8}{21}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf \dfrac{6x}{-7} \cdot \dfrac{4}{-9x}[/tex]
When multiplying fractions, simply multiply the numerators and multiply the denominators:
[tex]\implies \sf \dfrac{6x}{-7} \cdot \dfrac{4}{-9x} = \dfrac{6x \cdot 4}{-7 \cdot -9x} =\dfrac{24x}{63x}[/tex]
Cancel the common factor x:
[tex]\implies \sf \dfrac{24 \diagup\!\!\!\!x}{63 \diagup\!\!\!\!x}=\dfrac{24}{63}[/tex]
Rewrite 24 as 3 · 8 and rewrite 63 as 3 · 21:
[tex]\implies \sf \dfrac{24}{63}=\dfrac{3 \cdot 8}{3 \cdot 21}[/tex]
Cancel the common factor 3:
[tex]\implies \sf \dfrac{\diagup\!\!\!\!\!3 \cdot 8}{\diagup\!\!\!\!\!3 \cdot 21}=\dfrac{8}{21}[/tex]
You have $2000 to invest in an account and need to have $2500 in five years. What annual interest rate would you need to have in order to have this if the amount is compounded monthly?
a 3.77%
b4.47%
c2%
d5.5%
please answer
The annual interest rate needed to reach the given amount in five years is 4.47%.
Hence, option B) is the correct answer.
What is the annual interest rate needed?Compound interest is expressed as;
A = P( 1 + r/n )^(nt)
Making rate r the subject of the formula;
r = n[ (A/P)^(1/nt) - 1 ]
Given that;
Principal P $2000Final Amount A = $2500Number of times interest applied per time period n = monthly = 12Time t = 5We substitute into our formular above
r = n[ (A/P)^(1/nt) - 1 ]
r = 12[ (2500/2000)^(1/(12×5)) - 1 ]
r = 12[ (1.25^(1/60) ) - 1 ]
r = 12[ 1.0037598 - 1 ]
r = 12[ 0.0037598 ]
r = 0.447
Next we convert to percentage
r = 0.447 × 100%
r = 4.47%
The annual interest rate needed to reach the given amount in five years is 4.47%.
Hence, option B) is the correct answer.
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PLS HELP I WILL GIVE YOU 100 POINTS… Question 4 (True/False Worth 4 points)
(07.07)
True or False?
When temperature rises, the number of people who go to the beach increases. Temperature is the independent variable in this situation.
True
False
Answer:
True
Number of people is dependent
Answer:
true because it's hots and people cool of by getting by getting the water
Which net can be folded to form a pyramid? A net has a square at the center. Squares are on 2 sides and triangles are on 2 sides. A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side. A net has a square at the center. 3 triangles are on 1 side. A net has a square at the center. A triangle and square are on 1 side and a square and triangle are on another side.
The net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.
What is a net?A net is a two-dimensional representation of a three dimensional solid object showing its faces.
Examples of material which can have nets are
cubes, cuboids prisms etcWhat is a pyramid?Now, for a pyramid, we know that a pyramid is a three dimensional solid object that has one square base and four triangular sides.
So, when a pyramid is split into its net, it will have one square at the center and four triangles on the sides of the squares.
So, the net that can be folded to form a pyramid is A net has a square at the center. 2 triangles are on 1 side, and 2 triangles are on another side.
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Answer:
B
Step-by-step explanation:
You need to use the net that only have 1 square because a pyramid only has 1 square, it also has all the triangle sides needed which is 4. You can use a model to make a pyramid out of this net
A ladder is leaning against a building as shown in the
diagram.
How many feet up the side of the building is the top of
the ladder?
ft
10 feet
6 feet
The length of ladder is 30 ft.
How can the feet that made up the side of the building is the top of the ladder be known ?The formula below can be used in solving the problem
Tan (∅)= [tex]\frac{opposite}{adajacent}[/tex]
∅=70°
opposite = BC
Adjacent = 12 ft
70°= opposite/ 12
opposite= 32.96 ft
Therefore, The length of ladder is 30 ft.
NOTE; Since the actual diagram can not be found i solved another on on the same topic
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CHECK COMPLETE QUESTION BELOW:
Consider the diagram shown where a ladder is leaning against the side of a building. the base of the ladder is 12ft from the building. how long is the ladder? (to the nearest ft)
a. 25ft
b. 30ft
c. 35ft
d. 40ft
His wife makes a final test of Odysseus' identity by getting him to tell
about the building of his bed
the name or his favorite dog
about the day he went away
how he got a scar on his arm
Answer: About the building of his bed
Cual es el valor de A si 900 es el 130% de A
El valor del número A es 692.31.
PercentageThe percentage is the given definition for a fraction whose denominator is equal to 100. It is represented by %. See the following example:
[tex]\frac{50}{100} =0.5*100=50%[/tex]
The percentage is considered a math tool with several applications and areas, for example: medicine, engineering, investments, supermarkets, drugstores,banks etc.
The exercise asks you the value of A and it gives you the value (900) that represents 130%A. Thus, you should write an equality between the division the percentage and the variable A by 100 with the value 900.
You should follow the steps below.
[tex]\frac{130*A}{100}=900\\ \\ 130A=90000\\ \\ A=\frac{90000}{130} =692.31[/tex]
You can check the result : [tex]\frac{692.31*130}{100} =\frac{90000.3}{100} =900.003=900[/tex]
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if sin just answer the please lol i don't feel like typing
ASAP
Considering that the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
What are the signs of the sine and of the cosine in each quadrant?Quadrant 1: Both positive.Quadrant 2: Sine positive, cosine negative.Quadrant 3: Both negative.Quadrant 4: Sine negative, cosine positive.Hence, since the sine is negative and that the cosine is positive, the angle is on the fourth quadrant, hence option C is correct.
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Select the correct answer from each drop-down menu. A hot tub is in the shape of a regular pentagon. To the nearest tenth, what is the area of the cover on the hot tub? 4 ft The apothem of the pentagon is approximately ft². ft, and the perimeter of the pentagon is Reset Next ft. Therefore, the area is
Answer:
27.53
Step-by-step explanation:
The apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.
What is Polygon?Polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides
Given,
A hot tub is in the shape of a regular pentagon.
The side of polygon is 4ft.
We need to find the apothem of the pentagon, area and perimeter.
In the middle we will have 360 degrees.
If we divide the polygon to five triangles, then one of the verte will have 36 degree measure.
h=2/tan 36=2.7528
Perimeter of polygon=5 a
a is side of polygon
Perimeter=5×4=20 ft.
Area=1/2 perimeter ×apothem
=1/2×20×2.7528
=27.528 ft²
Hence the apothem of the pentagon is 2.7528 ft, area of pentagon is 25.528 ft² and perimeter of pentagon is 20ft.
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Instructions: Find the slope between the two points given. Then, use the slope and point ONE to write the
equation of the line in Point-Slope form. State the slope
Step-by-step explanation:
Find the slope between the two points given. Then, use the slope and point ONE to write the
equation of the
In a certain chemical, a ratio of zinc to copper is 4 to 11 . A jar of the chemicals contains 319 copper. How many grams of zinc does it contain?
Answer:
116
Step-by-step explanation:
zinc : copper
4 : 11
11 = 319
zinc = 4 / 11 * 319
Zinc = 116
Please help Need answer Urgently.
Someone please help with this math problem.
Can someone explain how to do this
The negative solution is -2.21 and positive solution is 12.21
Factorizing quadratic equationsGiven the quadratic equation expressed as:
x^2-10x-27 = 0
Find the solution using the general formula
x^2-10x-27 = 0
x = 10±√(10)²-4(1)(-27)/2
x = 10±√100+108/2
x = 10±√208/2
x = 10±14.422/2
Simplify
x = 10+14.422/2 and x = 10-14.422/2
x = 24.422/2 and -4.422/2
x = 12.21 and -2.21
Hence the negative solution is -2.21 and positive solution is 12.21
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mimi read 1/4 of a book on wednesday. she read 82 more pages on thursday, and she finished the book on friday by reading the last 98 pages. how many pages were in mimi's book.
Answer:
240 pages
Step-by-step explanation:
Let x = the TOTAL number of pages in the book. So we'll add up all her reading for the week and it should equal x, the total number of pages.
see image.
Follow the instructions below to show two different ways of filling a square that has sided of length a + b with triangles and squared without gaps or overlaps.
The proofing for the triangle is illustrated below.
How to illustrate the information?The proofing for a² + b² = c² in the triangle is illustrated.
It should be noted that the longest side in the triangle is the hypothenuse. The hypothenuse is gotten by finding the square root of the opposite and the adjacent.
Therefore, a² + b² = c²
Let's say a = 3 and b = 4, the value of c will be:
c² = a² + b²
c² = 3² + 4²
c² = 9 + 16
c² = 25
c = ✓25
c = 5
Also, the square and triangle is illustrated and attached.
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Please help! Solve this
The solution to [tex]\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2[/tex] is x = 1
How to solve the equation?The equation is given as:
[tex]\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2[/tex]
Split the equation as follows:
[tex]y\ =\ \left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}[/tex]
[tex]y = 1 + x^2[/tex]
Next, we plot the graph of both equations (see attachment)
From the attached graph, the intersection point is (1, 2)
Remove the y value
x = 1
Hence, the solution to [tex]\left(2+\sqrt{2}\right)^{\log_2\left(x\right)}+x\left(2+\sqrt{2}\right)^{\log_2\left(x\right)} = 1 + x^2[/tex] is x = 1
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80 1/4 is 5% of what number
Answer: 80 1/4 is 5% of 1605
Step-by-step explanation:
5 percent of some number = 80.25
let x = some number
[tex]\frac{5}{100} *x = 80.25[/tex]
[tex]=\frac{100}{5} *\frac{5}{100} *x=80.25*\frac{100}{5}[/tex]
[tex]=x=80.25*20[/tex]
[tex]=x=1605[/tex]
1. Find the domain and range of the function
f(x)=√1-4x².
[tex]f(x) = \sqrt{1 - 4{ x}^{2} } [/tex]
[tex]1 - 4x {}^{2} \geqslant 0[/tex]
[tex] - \infty \: \: \: \: \: \: \: \: - 0.5 \: \: \: \: \: \: \: \: \: 0.5 \: \: \: \: \: \: \: \: \infty \\ - \: \: \: \: \: \: \: \: \: \: \: \: \: \:0 \: \: \: \: \: + \: \: \: \:0 \: \: \: \: \: - [/tex]
[tex]domain \\ [ \: -0.5 \: , \: 0.5 \: ][/tex]
[tex]g(x) = 1 - 4x {}^{2} \\ g'(x) = - 8x \\ g'(x) = 0 \\ x = 0 \\ g(0) = 1 - 4(0) = 1 \\ maximum \: = 1[/tex]
[tex]range \\ [ \: 0 \: , \: 1 \: ][/tex]
Answer:
[tex]\textsf{Domain}: \quad \left[-\dfrac{1}{2}, \dfrac{1}{2}\right][/tex]
[tex]\textsf{Range}: \quad [0, 1][/tex]
Step-by-step explanation:
Domain: set of all possible input values (x-values)
Range: set of all possible output values (y-values)
Given function:
[tex]f(x)=\sqrt{1-4x^2}[/tex]
As negative numbers don't have real square roots:
[tex]\implies 1-4x^2\geq 0[/tex]
Therefore, to find the domain, solve the inequality.
Subtract 1 from both sides:
[tex]\implies -4x^2\geq -1[/tex]
Divide both sides by -1 (reverse the inequality):
[tex]\implies 4x^2 \leq 1[/tex]
Divide both sides by 4:
[tex]\implies x^2\leq \dfrac{1}{4}[/tex]
[tex]\textsf{For }\:a^n \leq b,\:\:\textsf{if }n\textsf{ is even then }-\sqrt[n]{b} \leq a \leq \sqrt[n]{b}:[/tex]
[tex]\implies -\sqrt[2]{\dfrac{1}{4}} \leq x \leq \sqrt[2]{\dfrac{1}{4}}[/tex]
[tex]\implies -\sqrt{\dfrac{1}{4}} \leq x \leq \sqrt{\dfrac{1}{4}}[/tex]
[tex]\implies -\dfrac{1}{2} \leq x \leq \dfrac{1}{2}[/tex]
Therefore:
[tex]\textsf{Domain}: \quad \left[-\dfrac{1}{2}, \dfrac{1}{2}\right][/tex]
To find the range, input the endpoints of the domain into the function:
[tex]\implies f\left(-\dfrac{1}{2}\right)=\sqrt{1-4\left(-\dfrac{1}{2}\right)^2}=0[/tex]
[tex]\implies f\left(\dfrac{1}{2}\right)=\sqrt{1-4\left(\dfrac{1}{2}\right)^2}=0[/tex]
To find the limit of the range, find the extreme point(s) of the function by differentiating the function and setting it to zero.
[tex]\implies f(x)=(1-4x^2)^{\frac{1}{2}}[/tex]
[tex]\implies f'(x)=\dfrac{1}{2}(1-4x^2)^{-\frac{1}{2}} \cdot -8x[/tex]
[tex]\implies f'(x)=-\dfrac{4x}{\sqrt{1-4x^2}}[/tex]
Setting it to zero and solving for x:
[tex]\implies -\dfrac{4x}{\sqrt{1-4x^2}}=0[/tex]
[tex]\implies -4x=0[/tex]
[tex]\implies x=0[/tex]
Substitute x = 0 into the function:
[tex]\implies f(0)=\sqrt{1-4(0)^2}=1[/tex]
Therefore, the range is [0, 1]
The event of walking your dog is A and the event of electing a female as class president is B. If these events are independent events, using P(A)=0.35, and P(B)=0.54, what is P(B|A)?
The value of the probability is 0.54
How to determine the probability?The given parameters are:
P(A) = 0.35
P(B) = 0.54
From the question, we understand that the events are independent.
This means that
P(B|A) = P(B)
Substitute P(B) = 0.54
P(B|A) = 0.54
Hence, the value of the probability is 0.54
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Draw the graph of changing length of shadow of a stick from 12pm to 5pm.
The graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.
When an object (like the stick in the cartoon) blocks some of the Sun's light, it casts a shadow. The shadow always points away from the Sun. How long the shadow is depends on how low or high the Sun is in the sky. If the Sun is low, we see a longer shadow. Is the Sun is high, we see a shorter shadow.
Length of shadow due to the Sun's light is smallest when the Sun is vertically above. This happens at 12 noon.
Thus the graph of changing length of shadow of a stick from 12pm to 5pm shows that length of shadow increases.
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7. How would the net of a box with a closed top differ from the net of the same box with an open top?
Sketch the net for each case to demonstrate the difference.
The main difference between the two nets is the top face.
The net of a box with a closed top is a 3-dimensional figure that is made up of 6 faces. The faces are all rectangles, and they are connected to each other by flaps. The flaps are the parts of the net that fold over to create the closed top.
The net of a box with an open top is a 3-dimensional figure that is made up of 5 faces. The faces are all rectangles, and they are connected to each other by flaps. However, the top face of the net is not a rectangle. Instead, it is a trapezoid. The trapezoid is created by the flaps that fold over to create the open top.
As you can see, the main difference between the two nets is the top face. The top face of the net of a box with a closed top is a rectangle, while the top face of the net of a box with an open top is a trapezoid.
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Verify which of the following are identities.
Answer:
C
Step-by-step explanation:
Equation 1:
[tex]1+\frac{\cos^{2} \theta}{\cot^{2} \theta(1-\sin^{2} \theta)}\\ \\ 1+\frac{\sin^{2} \theta}{\cos^{2} \theta} \\ \\ 1+\tan^{2} \theta \\ \\ \sec^{2} \theta[/tex]
Equation 2:
[tex]15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cot \theta}{\csc \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\frac{\cos \theta / \sin \theta}{1/\sin \theta} \right) \\ \\ 15\cos \theta \left(\frac{1}{\cos \theta}-\cos \theta \right) \\ \\ 15\cos \theta \left(\frac{1-\cos^{2} \theta}{\cos \theta} \right) \\ \\ 15(1-\cos^{2} \theta) \\ \\ 15\sin^{2} \theta[/tex]
Find the x and y intercepts on the graph of the line, if they exist.
3x + 4y = 24
The x and y intercepts of the given equation of the line are 8 and 6 respectively for the given line 3x+4y=24. They are shown in the graph at X and Y respectively.
What are the intercepts of a line?The standard equation of a line is ax + by + c = 0.
Then, its x-intercept is calculated by -c/a, and the y-intercept is calculated by -c/b.
In the graph, the x-intercept is obtained at y=0 and the y-intercept is obtained at x=0.
Calculation:It is given that,
The equation of the given line is 3x + 4y = 24
Rewriting the given equation into the general form,
3x + 4y - 24 =0
On comparing with ax + by + c = 0,
a = 3, b = 4 and c = -24
So,
The x-intercept of the line (-c/a) = -(-24)/3 = 8 and
The y-intercept of the line (-c/b) = -(-24)/4 = 6
Therefore, the required x and y intercepts are 8 and 6 respectively.
(The graph showing the intercepts of the given line is shown below)
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Write the following powers of 6 exponential form: 6 x 6
The exponential form of 6 × 6, is written as: 6².
How to Write an Expression in Exponential Form?Repeated multiplication involving base exponents and base can be written in exponential form, such as: a × a × a = a³.
Given the expression, 6 × 6, the number 6 will be the base while 2 will be the exponent if we want to express it in exponential form. Therefore:
6 × 6 = 6².
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