Answer:
x f(x)
-2 -2
-3 -1
-4 -2
-6 -3
Step-by-step explanation:
If ΔJKL~ΔMKN, find the value of x.
Answer:
x = 14
Step-by-step explanation:
Since the triangles are similar, then the ratios of corresponding sides are equal, that is
\(\frac{KL}{KN}\) = \(\frac{JL}{MN}\) , substitute values
\(\frac{32}{12}\) = \(\frac{3x-2}{x+1}\) ( cross- multiply )
12(3x - 2) = 32(x + 1) ← distribute parenthesis on both sides
36x - 24 = 32x + 32 ( subtract 32x from both sides )
4x - 24 = 32 ( add 24 to both sides )
4x = 56 ( divide both sides by 4 )
x = 14
Sydney picked 28 raspberries and 35 blueberries to make two desserts.
She needs 4 raspberries for each raspberry tart and 5 blueberries for each
blueberry tart. She wants to know how many desserts she will be able to
make with the berries.
I'm 17 and a mom to 3 11-year olds. I was wondering if this goes together because my daughter Angelynn does dance and has an Acro solo at the next competition.
Answer:
Yah i think its nice but I think its too much makeup for a kid though but its still godg for a dancer:)
Step-by-step explanation:
Answer:
yeah it goes together.
Does anyone know the correct answer?
Answer:
270
Step-by-step explanation:
Hi can somebody whos good at math help, that would mean a lot to me :)
Which of these values is a possible solution
to the inequality?
52+3<5
The inequality equation which represents Three less than twice a number is equal to at least 52 is 10 - 2x ≥ 52 and x ≤ -21
What is inequality in mathematics?In mathematics, an inequality is described as a relation which makes a non-equal comparison between two numbers or other mathematical expressions.
Let
The unknown number = x
Ten less than twice a number is equal to at least 52;
10 - 2x ≥ 52
we Subtract 10 from both sides
- 2x ≥ 52 - 10
- 2x ≥ 42
we then divide both sides by - 2
x ≤ 42/-2
x ≤ -21
Therefore , x ≤ -21 is the solution to the inequality 10 - 2x ≥ 52 if x comes first.
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Compare and contrast a postulate , theorem and a conjecture
Answer:
Postulates and conjectures are similar in that they are both used in mathematical proofs. The difference between them is that whilst a conjecture is a opinion that is put forward without proof, and that simply represents a belief, a postulate it something that is assumed true (but still does not have any proof behind it).
Step-by-step explanation:
Answer: Postulate – this is also called as axiom. This study is accepted without asking for any proof. This is considered as true without further proof. IT is simply considered as self-evident. It is usually agreed by anyone to be true and acceptable.
Example of postulate is to prove a simple triangle as congruent.
While conjecture – considered as proposition in which it needs to provide value proof or evident in order for it to be considered as true.
Examples of conjecture are four color theorems and Fermat’s Last theorem.
Step-by-step explanation:
the ratio of the surface areas of two similar cylinders is 4/25. the radius of the circular base of the larger cylinder is 0.5 centimeters. what is the radius of the circular base of the smaller cylinder? drag a value to the box to correctly complete the statement.
Answer:
.2 Cm
Step-by-step explanation:
If CP=Rs. 1200 and loss =10%, find loss amount.
Answer:
lost 120
Step-by-step explanation:
10% of 1200 is 120 so you subtract 120 from 1200
Answer:
120
Step-by-step explanation:
Loss = (Loss%)(C.P)
Loss = (10%)(1200)
Loss = (10/100)(1200)
Loss = 120
Can 2.5 cm 6.5 cm 6 cm be the sides of a right triangle?
2.5 cm, 6.5 cm, and 6 cm are the sides of a right triangle.
The sides of a triangle are 2.5 cm, 6.5 cm, and 6 cm in length.
The Pythagorean Theorem states that The sum of the squares representing the base and height equals the square of the hypotenuse.
\((Perpendicular)^{2}+(Base)^{2}=(Hypotenuse)^{2}\)
\((2.5)^{2}+(6)^{2}=(6.5)^{2}\)
6.25 + 36 = 42.25
42.25 = 42.25
The sides offered satisfy the specifications for a right triangle.
Given that it satisfies the Pythagorean theorem, a right triangle with sides of 2.5 cm, 6.5 cm, and 6 cm can be built.
Hence, 2.5 cm 6.5 cm 6 cm can be the sides of a right triangle.
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Simplify by using the distributive property, then combining like terms: 3(8n - 1) - 17n
Answer:
7n - 3Step-by-step explanation:
3(8n - 1) - 17n
24n - 3 - 17n
7n - 3
Start by multiplying 3 to both values in the parenthesis.
3(8n - 1) - 17n > 8n(3) - 1(3) - 17n > 24n - 3 - 17n
Next, combine like terms.
24n - 3 - 17n > 24n - 17n - 3 > 24n - 17n - 3 > 7n - 3
Because of the variable, n, you cannot simplify any further. This means your final answer is 7n - 3 :)
suppose the correlation between height and weight for adults is -.50. what percent of the variability in weight is due to the relationship with height (i.e., what is the r2)?
Coefficient values weight varies by 25%, which is explained by the link with height.
Coefficient values have always been around -1 and 1, with -1 reflecting perfect negative linear correlation and 1 indicating perfect positive linear correlation.
The correlation coefficient in a correlation study reflects the strength of the linear relationship between two variables.
r represents the correlation coefficient.
Given this, the adult height-weight correlation is -0.50.
r = -0.50
The weight variance is, r² = (-0.50)² = 0.25
As a result, the weight variation is 25%, which is explained by the height relationship.
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1 hour split into fifths
Answer:
12 Minutes
Step-by-step explanation:
60 minutes in fifths
60 ÷ 5
Answer:
12 min
Step-by-step explanation:
60= 1hr
60/5=12
A man bought a car for $60,320. After uing it for 2 year, he decided to trade-in the car. The company etimated a depreciation of 15% for the firt year of it ue and a further 15% on it reduced value for the econd year. A) Calculate the value of the car after 2 year. B) Expre the value of the car after two year a a percentage of the original value
c) Expre the depreciation after the 2 year period a a percentage of the original value
The value of car after 2 years is $17,008.8, as percent it is 28.2% and depreciation is 27.75%
Value of car after two years will be calculated by calculating the depreciation each year.
Depreciation after first year = 60,320 - 15%×60,320
Depreciation after first year = 60,320 - 9,048
Depreciation after first year = $51,272
Depreciation after second year = 51,272 - 15%×51,272
Depreciation after second year = 51,272 - 7690.8
Depreciation after second year = $43,311.2
Value after depreciation = 60,320 - 43,311.2
Value after depreciation = $17,008.8
Value of car as percentage = 17008.8/60320×100
Value of car as percentage = 28.2%
Depreciation after two years period = 9048 + 7690.8
Depreciation after two years period = 16,738.8
Depreciation as percentage = 16738.8/60320×100
Depreciation as percentage = 27.75%
The correct answers are a) $17008.8, b) 28.2% and c) 27.75%.
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A quarter is tossed three times. What is the probability that it will land
on tails three times in a row?
Answer:
The probability of flipping a coin three times and getting 3 tails is 1/8.
Step-by-step explanation:
For what values of x is x2-36=5x true? -9 and -4 -4 and 9 4 and -9 9 and 4.
Answer: -4 and 9
Step-by-step explanation:
Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
show your work
Answer:
61
Step-by-step explanation:
1/5 = .2
so you do 12.2 / .2 which gives you 61
Answer:
Your answer is 61
Step-by-step explanation:
Step 1. Convert 12.2 into a fraction. (I chose to put 12.2 over 10 so in the end it's 122/10.)
Step 2. Layout your problem
Remeber when dividing fractions it Keep, Change, Flip.
122/10 x 5/1
Step 3. Solve
122/10 x 5/1 = 61
That should be your answer to the problem :)
if a two sided test of hypothesis is conducted at a 0.05 level of significance and the test statistic resulting from the analysis was 1.23. the potential type of statistical error is :
Potential type of statistical error would be Type I statistical error.
What is statistical error?
The term "error" (also known as "statistical error") refers to the discrepancy between a value obtained through a data gathering procedure and the population's "actual" value. The data are less representative of the population the higher the inaccuracy. Both sampling error and non-sampling error can have an impact on data.
Given that:
two sided test of hypothesis is giving 0.05 level of significance.
and statistic resulting from the analysis was 1.23.
According to statistic result,
the results are not statistically significant because the p-value > 0.05.
So, Here we can say that it follows the Type I statistical error.
Hence, potential type of statistical error would be Type I statistical error.
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Jolon drew the figure that is shown below.
mc005-1 ( the graph see picture )
Jolon translated the figure left 5 units and down 4 units. What are the new coordinates of point C?
(–4, 0)
(0, 0)
(0, –3)
(1, –4)
Answer:
(0,-3)
Step-by-step explanation:
C( 5,1)
5 is the horizontal value. It is the distance from zero. If we go 5 units left we will be at 0
1 is the vertical value. Is is the distance above the x axis. If we go down 4 units, we will be at -3
(0,-3)
Bridget, Brian & Caroline share some money in the ratio 4 : 9 : 4.In total, Bridget and Caroline receive £48.How much does Brian get?
Answer:
£54
Step-by-step explanation:
According to the ratio:
Bridget = 4/17
Brian = 9/17
Caroline = 4/17
____
So if Bridget and Caroline receive £48, that would mean £48 is 8/17 of the total amount. We can find 1/17 of the money by dividing £48 by 8.
48 / 8 = 6
And then multiply that by 9 to find 9/17 of the money (the amount Brian has).
6 x 9 = 54
What is sextillion divided by nonmillion times 10,000 minus 200 million plus 5000.
The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
Define the term expression?A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.
First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.
Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.
Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.
Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.
Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
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A simple random sample of size 30 is drawn from a population of size 200. if the population mean is 57 and the population standard deviation is 6, what is the standard error of the mean?
Answer:
1.0954.
Step-by-step explanation:
Standard error = std dev / √n
= 6 / √30
= 1.0954.
A dish containing bacteria has a diameter of 0.0001 kilometer. The diameter of a bacterium is 10−16 kilometer. How many times larger is the diameter of the dish than the diameter of the bacterium?
Answer:
100000000000 times
Step-by-step explanation:
Given
Diameter of Dish = 0.00001 km
Diameter of Bacterium = 10⁻¹⁶ km
Required
Determine the number of times the diameter of dish is bigger than that of the bacterium
To solve this, we simply divide the diameter of dish by the diameter of the bacterium as follows
\(Ratio = \frac{Dish}{Bacterium}\)
\(Ratio = \frac{0.00001}{10^{-16}}\)
\(Ratio = 100000000000\)
Hence, the diameter of the dish is 100000000000 times larger than the diameter of the bacterium
Find The Length Of The Following Two-Dimensional Curve. R(T)=⟨4cost,4sint⟩, For 0≤T≤Π The Length Of The Curve Is
The length of the curve defined by the parametric equations x(t) = 4cos(t) and y(t) = 4sin(t) is 4π units.
To find the length of the curve, we can use the arc length formula for parametric curves. The arc length formula for a curve defined by a parametric equation r(t) = ⟨x(t), y(t)⟩ is given by:
L = ∫[a,b] √(dx/dt)^2 + (dy/dt)^2 dt
In this case, the parametric equations are x(t) = 4cos(t) and y(t) = 4sin(t). Taking the derivatives, we have dx/dt = -4sin(t) and dy/dt = 4cos(t).
Substituting these values into the arc length formula, we get:
L = ∫[0,π] √((-4sin(t))^2 + (4cos(t))^2) dt
= ∫[0,π] √(16sin^2(t) + 16cos^2(t)) dt
= ∫[0,π] √(16(sin^2(t) + cos^2(t))) dt
= ∫[0,π] √(16) dt
= ∫[0,π] 4 dt
= 4t |[0,π]
= 4π - 0
= 4π
Therefore, the length of the curve is 4π units.
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The horizontal viewing angle is the angle subtended by a straight line from
each side of the screen to the seating position.
THX
THX Ltd., is a company founded in 1983 by George Lucas that develops
audio/visual reproduction standards for movie theaters. According to THX,
the viewing angle in a theater should be no less than 26 degrees and the best
viewing angle seems to be around 45-50 degrees and towards the center.
Suppose seat G11 has a horizontal viewing angle of 45°. This would be considered the best seat in the theater.
3. What is the measure of the arc the screen subtends?
The measure of the arc is given as π/2. See the explanation below.
What is an arc?An "arc" is a curve that connects two points in mathematics.
It can also be depicted as a section of a circle. It is essentially a portion of a circle's circumference. An arc is a kind of curve.
What is the calculation for the above solution?Note that the viewing angle is 45°.
Thus, the center angle is:
45 X 2 = 90°
Measure of the arc therefore is:
= (π/180°) x 90
= π/2
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UHHHH PLEASE HURRY???
how does the graph f (X) = x2 + 2 compare to the graph of g(x) = x2 + 8?
Answer:
The similarities between the graphs f(x) and g(x) are that they are both linear functions, both have the same slope (rate of change of the function), and they form two parallel lines. The only difference between the two graphs is that they have different y-intercepts, specifically the y-intercept of the function f(x) is at (0, 2), and the y-intercept of the function g(x) is at (0, 8).
Have a great day! Feel free to let me know if you have any more questions :)
eli wants to combine 0.5 gallons of a 10% acetic acid solution with a 35% solution to make a 15% acetic solution. he needs to determine how many gallons of 35% solution are needed.
0.125 gallons of 35% solution are required to achieve the specified ratio.
This is further explained below.
How many gallons of 35% solution is needed by Eli ?Generally, It takes 0.125 gallons of a 35% solution to get the ratio you want.
Eli wishes to mix 0.5 gallons of a 10% acetic acid solution with a 35% solution to create a 15% acetic acid solution; thus, the calculation below must be done to calculate how many gallons of
5% solutions are required:
1 x 10 + 2 x 35 = 80
=> 80 ÷ 3 = 26.66
1x10 + 1x35 = 45
=>45÷ 2 = 2.5
1 x 10 + 0.5 x 35 = 27.5
=>27.5 ÷ 1.5 = 18.33
1 x 10 + 0.4 x 35 = 24
=>24 ÷ 1.4 = 17.14
1 x 10 + 0.2 x 35 =17
=> 17 / 1.2 = 14.16
1 x 10 + 0.3 x 35 = 20.5
=> 20.5/ 1.3 = 15.76
1 x 10 + 0.25 x 35 = 18.75
=> 18.75 / 1.25 = 15
1 / 2 = 0.5
0.25 / 2 = 0.125
In conclusion, 0.125 gallons of 35% solution are required to achieve the specified ratio.
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CQ
eli wants to combine 0.5 gallons of a 10% acetic acid solution with a 35% solution to make a 15% acetic acid solution. he needs to determine how many gallons of 35% solution are needed eli decides to let v represent the volume of 35% solution and makes a table to help solve the problem
Answer:
if yours is how mine is- i hope this helps
Step-by-step explanation:
Evaluate 3+jk+k3 when j=2 and k=6
Answer:
It might be 231.
Step-by-step explanation:
Answer:
33
Step-by-step explanation:
3 + jk + k3
substitute j for 2
3 + 2k + k3
substitute k for 6
3 + (2*6) + (6*3)
3 + 12 + 18
33
pls help!
show that f(x)=5x-6 and f^-1(x) = x+6/5 are inverse funcrions using composition of functions
\(f(f^{-1}(x))=f \left(\frac{x+6}{5} \right)=5 \left(\frac{x+6}{5} \right)-6=x+6-6=x\\\\f^{-1}(f(x))=f^{-1}(5x-6)=\frac{5x-6+6}{5}=\frac{5x}{5}=x\)
Since \(f(f^{-1}(x))=f^{-1}(f(x))=x\), the functions are inverses of each other.
The composition of functions is x, f(x) and f⁻¹(x) are inverse functions.
What is inverse function?Inverse function is represented by f⁻¹ with regards to the original function and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.
The given functions are f(x)=5x-6 and f⁻¹(x)=(x+6)/5.
The composition of a function is an operation where two functions say f and g generate a new function say h in such a way that h(x) = g(f(x)).
Now, h(x)=f(f⁻¹(x))
h(x)=5((x+6)/5 -6)
h(x)=x+6-6
h(x)=x
Since, the composition of functions is x, f(x) and f⁻¹(x) are inverse functions.
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You have a piggy bank with $4 in it. Every month you get an allowance and add $5 to the piggy bank. Which of the following equations represent the amount of money in the bank after "x" months?