Answer:
Step-by-step explanation: Let x represent the number in the algebraic expression, then 6 less means the following:
x-6
Victoria opens a savings account with a deposit of $300. She will earn 2% simple interest each year on her money. How much interest when she earn over 5 years?
300*2%*5= 30
answer is 30
plssssss help me! i don’t understand.
How do you solve for x in an angle?
To solve for x at an angle, you must first understand what type of angle you are working with. If the angle is a right angle, you can use the Pythagorean theorem to solve for x. If the angle is an obtuse angle, you can use the law of cosines to solve for x. If the angle is an acute angle, you can use the law of sines to solve for x.
How to solve for x at a right angle?To solve for x at a right angle using the Pythagorean theorem, you must have the lengths of the two neighboring sides of the triangle. The sum of the squares of the two sides is equal to the square of the hypotenuse, according to the Pythagorean theorem. By rearranging the components and solving for x, this equation may be used to find x.
How to solve for x at an obtuse angle?To use the law of cosines to solve for x at an obtuse angle, you must know the lengths of all three sides of the triangle. According to the law of cosines, the square of one side's length equals the sum of the squares of the other 2 sides minus twice the product of the other 2 sides multiplied by the cosine of the obtuse angle. You can use this equation to solve for x by rearranging the terms and solving for x.
How to solve for x in an acute angle?To apply the law of sines to solve for x in an acute angle, you should first know the lengths of the triangle's two sides as well as the acute angle's measurement. According to the law of sines, the ratio of one side's length to the sine of the opposite angle equals the ratio of the other side's length to the sine of the acute angle. By rearranging the terms and solving for x, you may use this equation to solve for x.
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d) Differentiate each of the following function with respect to x and simplify where possible: i) y=ln(x
4
+3x
2
+6) ii) y=
2x−1
2x
2
−x+4
iii) y=4(x
2
−4x+6)
3
The derivatives of the given functions with respect to x are as follows:
i) For y = \(ln(x^4 + 3x^2 + 6)\), the derivative is dy/dx = \((4x^3 + 6x)/(x^4 + 3x^2 + 6)\).
This is obtained using the chain rule and the derivative of ln(u) = (1/u)(du/dx).
ii) For y =\(2x - 12x^2 - x +\)4, the derivative is dy/dx = 2 - 24x - 1. This is obtained by taking the derivative of each term separately, as the derivative of a constant is zero and the derivative of \(x^n is nx^(n-1)\).
iii) For y = \(4(x^2 - 4x + 6)^3\), the derivative is dy/dx = 1\(2(x^2 - 4x + 6)^2(2x - 4)\). This is obtained using the chain rule and the power rule, where the derivative of \((u^n) = n(u^{n-1})(du/dx)\).
In summary, the derivative of \(ln(x^4 + 3x^2 + 6)\) with respect to x is \((4x^3 + 6x)/(x^4 + 3x^2 + 6)\). The derivative of \(2x - 12x^2 - x + 4\) with respect to x is 2 - 24x - 1. The derivative of\(4(x^2 - 4x + 6)^3\) with respect to x is \(12(x^2 - 4x + 6)^2(2x - 4)\).
i) The derivative of \(ln(x^4 + 3x^2 + 6\)) is obtained by applying the chain rule. The derivative of ln(u) is (1/u)(du/dx), where \(u = x^4 + 3x^2 + 6\). By finding the derivative of u with respect to x and substituting it into the chain rule formula, we get\((4x^3 + 6x)/(x^4 + 3x^2 + 6)\).
ii) The derivative of \(2x - 12x^2 - x + 4\) is obtained by taking the derivative of each term separately. The derivative of 2x is 2, the derivative of \(-12x^2 is -24x\) (using the power rule), and the derivative of -x is -1. The derivative of a constant term is zero. Combining these derivatives, we get dy/dx = 2 - 24x - 1.
iii) The derivative of \(4(x^2 - 4x + 6)^3\) is obtained using the chain rule and the power rule. We first apply the power rule by multiplying the exponent (3) by the expression inside the parentheses, resulting in \((x^2 - 4x + 6)^2\). Then, using the chain rule, we multiply by the derivative of the expression inside the parentheses, which is 2x - 4. Combining these results, we get dy/dx = \(12(x^2 - 4x + 6)^2(2x - 4).\)
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HELP ME PLEASE I BEGG YOU
Answer:110.467
Step-by-step explanation:do
Write a rule for the function:
1 6
2 11
3 16
4 21
Answer:
4 21
Step-by-step explanation:
Its probably the answer you are looking for
plz help solve i need it soon
Answer:
last one I think djssns word words
not a question,but can u check if i did this correctly
Yes, it looks like everything is plugged in right
On the other hand, you have very neat handwriting.
The Earth has a diameter of about 7,917.5 miles. What is the surface area of our planet? (Show your work, including the formula, along with your answer. Round your answer to the nearest tenth)
Answer:
196,836,571.6 miles²
Step-by-step explanation:
the earth is shaped like a sphere. the surface area of the earth can be determined by calculating the surface area of a sphere
surface area of a sphere = 4πr²
π= 3.14
r = 7,917.5 / 2 = 3958.75 miles
the diameter is the straight line that passes through the centre of a circle and touches the two edges of the circle.
A radius is half of the diameter
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
4 x 3.14 x 3958.75² = 196,836,571.6 miles²
An investment adviser has determined that ABCD stock would be an appropriate investment for his client, but only if the price falls from the current level of $50 per share to $35 per share. What MUST the adviser do prior to placing an order to buy ABCD stock for the client's account
Prior to placing an order to buy ABCD stock at a lower price, the investment adviser must conduct thorough research and analysis, set a target price, and determine an appropriate entry point for the purchase.
The investment adviser's primary responsibility is to act in the best interest of their client and make informed investment decisions. In this case, where the adviser believes ABCD stock is appropriate only if the price falls to $35 per share, several steps need to be taken before placing an order.
Firstly, the adviser should conduct comprehensive research on ABCD stock to understand its historical performance, financial health, industry trends, and any relevant news or events that might impact its future prospects. This research will help validate the adviser's belief that the stock is worth considering at a lower price.
Secondly, the adviser should establish a target price of $35 per share based on their analysis and the client's investment objectives. This target price serves as a reference point and provides a clear criterion for initiating the purchase.
Lastly, the adviser needs to identify an appropriate entry point for the purchase. This involves monitoring the stock's price movements and market conditions closely. The adviser may choose to set a limit order at $35 per share or implement a strategy to take advantage of potential price declines, such as dollar-cost averaging.
By following these steps, the investment adviser ensures that they have thoroughly evaluated the investment opportunity and have a plan in place before placing an order to buy ABCD stock for the client's account.
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Divide the words below into their component morphemes and give the information about the morphemes as you did in 1. Note: words may consist of one, two, or more than two morphemes.
d. reconditioned
e. unidirectional
a. comfortable
b. Massachusetts
c. environmentally
f. senseless
g. thickeners
h. nationalization
i. unspeakably
We are required to identify the morphemes present in the given words and provide information about those morphemes. The words given are reconditioned, unidirectional, comfortable, Massachusetts, environmentally, senseless, thickeners, nationalization, and unspeakably
d. Reconditioned:
1. re- (prefix) meaning "again" or "back"
2. condition (base morpheme) meaning "state or quality"
3. -ed (suffix) indicating past tense or passive voice
e. Unidirectional:
1. uni- (prefix) meaning "one" or "single"
2. directional (base morpheme) meaning "pertaining to direction"
a. Comfortable:
1. comfort (base morpheme) meaning "ease or relief"
2. -able (suffix) meaning "capable of" or "suitable for"
b. Massachusetts: This is a proper noun and cannot be divided into morphemes.
c. Environmentally:
1. environment (base morpheme) meaning "surroundings or conditions"
2. -al (suffix) meaning "related to" or "characteristic of"
3. -ly (suffix) meaning "in a certain manner"
f. Senseless:
1. sense (base morpheme) meaning "perception or awareness"
2. -less (suffix) meaning "without" or "lacking"
g. Thickeners:
1. thicken (base morpheme) meaning "to make or become thick"
2. -er (suffix) meaning "one who" or "that which"
3. -s (suffix) indicating plural
h. Nationalization:
1. national (base morpheme) meaning "relating to a nation"
2. -ization (suffix) meaning "process of making" or "act of becoming"
i. Unspeakably:
1. un- (prefix) meaning "not"
2. speakable (base morpheme) meaning "able to be spoken"
3. -ly (suffix) meaning "in a certain manner"
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what is
1/6 (12x - 24) + 2x
5.What is the area of the triangle?Include the unit of measurein your answer.:::::
Answer: Area = 126 square inches
Explanation:
The formula for calculating the area of a triangle is expressed as
Area = 1/2 x base x height
From the information in the diagram,
base = 18
height = 14
Thus,
Area = 1/2 x 18 x 14
Area = 1/2 x 252 = 252/2
Area = 126 square inches
ok help due in 1 hour
Answer:
7.2 =x
Step-by-step explanation:
We know that
sin theta = opp / hyp
sin 41 = x/y
sin 41 = x/11
11 sin 41 =x
7.216649319 =x
Rounding to 1 decimal place
7.2 =x
Plz answer this as soon as possible it’s my hw I have to submit it tomorrow.
Answer:
43
Step-by-step explanation:
-2+3×15
45-2
43 is the answer
in the item procurement importance matrix, what item is described as low risk, low value?
In the item procurement importance matrix, the item described as low risk, low value is referred to as a non-critical item.
The item procurement importance matrix is a tool used in procurement management to categorize items based on their importance and risk. It helps in determining the appropriate procurement strategies and allocation of resources. The matrix typically categorizes items into four quadrants based on their value and risk levels: critical, strategic, non-critical, and bottleneck.
A non-critical item is characterized by low risk and low value. These items are generally of lesser importance in terms of their impact on the overall procurement process. They may include non-essential or low-cost items that are easily replaceable or have minimal consequences if they experience delays or disruptions in the supply chain.
Therefore, in the item procurement importance matrix, the item described as low risk, low value is categorized as a non-critical item.
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Which of these polygons always map onto themselves when rotated 180 degrees about their center? (Help)
Answer: Square, octagon, rhombus, rectangle.
Step-by-step explanation:
Shane has a piece of fabric that is 4 1/3 yards long. He plans to cut the fabric into 3 pieces, each measuring 3/5 of a yard. What is the length of fabric left over after Shane cuts the 3 pieces.
Answer:
Is it 2 and 8/15 for the answer?
Step-by-step explanation:
3/5 times 3/1 = 9/5 = 1 4/5, then 4 1/3 - 1 4/5= 2 8/15
Mai thinks Tyler’s answer is incorrect. She says, “If expressions are equivalent then they are equal for any value of the variable. Why don’t you try to substitute the same value for in all the equations and see where they are not equal?” 1. Find the step where Tyler made an error. 2. Explain what he did wrong. 3. Correct Tyler’s work.
Mai's statement implies that Tyler's steps do not form an equivalent expression
Tyler's error is in step 3.
How to determine Tyler's error?Tyler's steps of solving the expression is given as:
9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x + -63 - 20xTyler's error is in step 3.
This is so because:
9 + (-4) ( 5x + -6 ) in step 2 is not equivalent to 9 + -20x + -6 in step 3
In actual sense, Tyler's error is in multiplying the (-4) and (-6)
The correct solution is as follows:
9 - 4 ( 5x - 6 )9 + (-4) ( 5x + -6 )9 + -20x +2433 - 20xRead more about equivalent expressions at:
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I need help with this
Answer:
Step-by-step explanation:
Step 1. Calculate the measures of center (mean and median)
Mean= Average= All data values added together then divided by number of data values.
Median = middle of numbers
0: 14: 35: 86: 37: 18: 59: 210: 3So, number of data values = 3+2+5+1+3+8+3+1= 26
Data values added together = 0 + 4+4+4+5+5+5+5+5+5+5+5+6+6+6+7+8+8+8+8+8+9+9+10+10+10= 165
165/26= 6.34615384
Average = 6.3
Median: Arrange numbers from least to greatest and eliminate one on both sides until you get a middle number:
0 , 4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,8,8,8,8,8,9,9,10,10,10
The median is 6.
Step 2: Calculate range, IQR, and MAD
Range: Maximum- minimum
IQR: The IQR is the difference between Q3 and Q1.
Q1 is the middle value in the first half of the data set.
Q3 is the middle value in the second half of the data set.
MAD:
Take the average. Find the distance of each value from that mean (difference between data values and mean) , then take absolute value of that distance. Find the mean of those distances.Range: 10-0= 10
IQR: 3
MAD (population) : 1.9378698224852
MAD (sample) : 1.9378698224852
In a certain chemical, the ratio of zinc to copper is 3 to 13. A jar of the chemical contains
650 grams of copper. How many grams of zinc does it contain?
It contains
grams of zinc.
Answer: 150 grams of zinc
Work Shown:
zinc/copper = 3/13
z/650 = 3/13
13z = 650*3
13z = 1950
z = 1950/13
z = 150
If (3,2) —> (2, -3) represents a counter clockwise rotation of the point on a coordinate plane, how many degrees is the rotation?
A. 90°
B. 180°
C. 270°
D. 360°
Maggie has $30 in an account. The interest rate is 10% compounded annually. To the nearest cent, how much will she have in 1 year?
Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years. 7th grade ixl m 13
If he interest rate is 10% compounded annually, after 1 year, Maggie will have $33 in the account to the nearest cent.
To solve this problem, we can use the formula for compound interest:
B = p(1+r)ᵗ
where B is the balance, p is the principal, r is the interest rate expressed as a decimal, and t is the time in years.
In this case, we know that Maggie has $30 in the account, the interest rate is 10% (or 0.10), and she is investing for 1 year. We can plug these values into the formula to find her balance after 1 year:
B = 30(1+0.10)
B = 30(1.10)
B = 33
The formula for compound interest is a useful tool for calculating the growth of an investment over time, taking into account both the principal and the interest rate.
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please answer please answer thank you
Answer:
367.62 in³
Step-by-step explanation:
The volume of a sphere is V = (4/3)πr³.
Here, that volume of the whole sphere is V = (4/3)(3.14)(5.6 in)³, or
V = 735.25 in³
A 'hemisphere' is half a sphere. Thus, the volume of each hemisphere shown here is
735.25 in³
---------------- = 367.62 in³ This just about matches the first answer choice.
2
Geometric mean of 4 and 64
Answer: 16
Step-by-step explanation:
Let's say x=Geometric mean.
4*64=x*x
x*x=256
x^2=256
x=16
What is the end behavior if the function below?
Check the picture below.
pleawe help kqkakakakakakaka
Answer:
-16
Step-by-step explanation:
ez if not u baka
Answer:
use the raditon theroem, 24x^2025x/ax-2 mulitplied by tan is equal to A)-16
if (x,y) is a solution to the system of equations, what is the value of y?
1/4x+1/8y=2
1/3x+1/2y=4
Answer:
y = 4
Step-by-step explanation:
\(\frac{1}{4}\) x + \(\frac{1}{8}\) y = 2
multiply through by 8 ( the LCM of 4 and 8 ) to clear the fractions
2x + y = 16 → (1)
\(\frac{1}{3}\) x + \(\frac{1}{2}\) y = 4
multiply through by 6 ( the LCM of 3 and 2 ) to clear the fractions
2x + 3y = 24 → (2)
subtract (1) from (2) term by term to eliminate x
0 + 2y = 8
2y = 8 ( divide both sides by 2 )
y = 4
A local Pennysaver charges $11 for each of the first three lines of a classified ad, and $5 for each
additional line.
a) What is the price of a two-line ad?
b) What is the price of a five-line ad?
c) If x is the number of lines in the ad, express the cost c(x) of the ad as a piecewise function.
Step-by-step explanation:
a) $11 = 3 lines of a classified ad
$x = 2 limes of a classified ad
cross multiply
3x = 22
divide by the coefficient of x
which is 3
3x/3 = 22/3
x = 7.33 approximately 7
x = 7.
b) $11 = 3 lines of a classified ad
$x = 5 lines of a classified ad
cross multiply
3x = 55
diviee by the coefficient of x
which is 3
3x/3 = 55/3
x =18.33 approximately 18
x =18.
24 km
10 km
What is the length of the hypotenuse?
Answer:
20
Step-by-step explanation:
the hypotenuse is double the length of the shortest leg