Differentiate y=x4 -x
Answer:
Step-by-step explanation:
To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).
So, for y = x^4 - x, we can find the derivative as follows:
y' = 4x^3 - 1
So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.
An $800 bond earns 4% simple annual interest how much will the bond earn in the interest after 6 years?
As a result of answering the given question, we may state that As a result, after 6 years, the bond will earn $192 in interest.
what is interest ?Divide the principal by the interest rate, period, and other factors to get simple interest. The formula in marketing is simple: return = principal + interest + hours. This method makes it easiest to calculate interest. Interest is frequently expressed as a percentage of the main balance. He will only pay half of the entire interest if he borrows $100 from a friend and agrees to repay it with 5% interest. $100 (0.05) = $5. You must pay interest when you borrow money, and you must charge interest when you lend it. Interest is often calculated as an annual percentage of the loan balance. This proportion is known as the loan's interest.
To compute simple interest, use the following formula:
The interest rate = (Principal x Rate x Time)
where:
The principal is the bond's initial amount, which is $800 in this example.
The annual interest rate is 4%, or 0.04 in decimal form.
Time is the number of years, which in this case is six.
When we enter these values into the formula, we get:
(800 x 0.04 x 6) = $192 in interest
As a result, after 6 years, the bond will earn $192 in interest.
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What does the slope represent in this situation
Answer:
50
Step-by-step explanation:
The slope rises up by 100 and runs across by 2.
100/2=50
Answer=50
A cable that weighs 8 lb/ft is used to lift 900 lb of coal up a mine shaft 450 ft deep. Find the work done. Show how to approximate the required work by a Riemann sum. (Let x be the distance in feet below the top of the shaft. Enter xi* as xi.)
Given :
Work done by a segment dx of a cable :
dW = 8dx x = 8x dx
So, work done by whole cable :
\(W=\int\limits^{450}_0 {8x} \, dx\\\\W = 4x^2|_0^{450}\\\\W = 4( 450^2)\\\\W= 810000\ ft- lb\)
Now, work done to bring coal up :
\(W'=900\times 450\ ft-lb\\\\W'=405000\ ft-lb\)
Therefore, total work done is ( 810000 + 405000 ) = 1215000 ft-lb .
Hence, this is the required solution.
A survey showed that 24 out of 60 people preferred vanilla-flavored ice cream. According to this survey, what percent of the people prefer vanilla-flavored ice cream?
A. 2.5%
B. 4%
C. 25%
D. 40%
Answer:
D. 40%
Step-by-step explanation:
I just had a Quiz and got this right!
A $26,000 car is on sale for 5% off with 3% tax. Interpret the change of the price as a percentage. Round to the nearest hundredth.
The new price of the car is $25441.
How to calculate the price?Given that the $26,000 car is on sale for 5% off with 3% tax.
The discount will be:
= 5% × $26000
= $1300
The tax will be:
= 3% × ($26000 - $1300)
= 3% × $24700
= $741
The new price will be:
= Amount - Discount + Tax
= $26000 - $1300 + $741
= $25441
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O 5. Simplify 0.75 +0.5.4 +0.252 - 1 .
O 1
O 1.0625
O2
O 1.8125
Answer:
876
Step-by-step explanation:
What is the value of 8 if 8 is a constant?
Answer:
8.
Step-by-step explanation:
Constant = Constant
3t - 12 ≤ - 9
pls see attachment
Answer:
D : t ≤ 1
Step-by-step explanation:
3t - 12 ≤ - 9
3t - 12 + 12 ≤ - 9 + 12
3t ≤ 3
3t/3 ≤ 3/3
t ≤ 1
For (≤ or <) Arrow points to the negative side
if the symbol is (≥ or ≤) then you fill in the dot
if the symbol is (> or <) then you do not fill in the dot
help I need the answers immediately
The answer is Q.
Do you need explanation?
What is the value of x?
A.3
B.4
C.6
D.8
Need help ASAP no rock
Jada folded a square piece of paper and half many times sometimes horizontally and sometimes vertically she shaded the folded piece of paper and then unfolded it here is a picture What fraction of the paper did Jada Shade explain how you know
Therefore , the solution of the given problem of fraction comes out to be Jada shaded 3/4 of the paper.
Fraction : What is it ?An whole can be represented by any set of related sums or fractions. In standard English, a percentage is used to represent the quantity of a specific size. 8, 3/4. Also wholes are fractions. Numbers are expressed in mathematics using the ratio of it's own portion to the bottom. These fractions are all made up of basic numbers. Due to variances in actual percentage calculations, numerators, and numerators, a difficult fraction contains a fraction. .
Here,
Based on the picture, it looks like Jada folded the paper in half vertically and horizontally, resulting in four equal quadrants.
She shaded three of these quadrants, leaving one unshaded.
Each shaded quadrant is half of a half, or 1/4, of the total paper.
Therefore, Jada shaded 3/4 of the paper.
Therefore , the solution of the given problem of fraction comes out to be Jada shaded 3/4 of the paper.
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The weights of bags of chips are normally distributed with a mean of 180 grams and a standard deviation of 4 grams.
What percent of the bags of chips weigh less than 176 grams?
2.5%
16%
32%
34%
The percent of the bags of chips weigh less than 176 grams is b 16%
What percent of the bags of chips weigh less than 176 grams?From the question, we have the following parameters that can be used in our computation:
Mean = 180
Standard deviation = 4
Bags of chips weigh less than 176 grams
This means that
x = 176
So, the z-score is
z = (176 - 180)/4
Evaluate
z = -1
The percent of the bags of chips weigh less than 176 grams is represented as
P = P(z < -1)
Using a graphing calculator, we have
Percentage = 0.15866
So, we have
Percentage = 16%
Hence , the percentage is 16%
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I need help with math ngl
Answer:
Oldest to newest:
10^-35, 10 ^-10, 0
Step-by-step explanation:
Scientific notation
To figure out the power of 10 think "how many places do I move the decimal point?"
When the number is 10 or greater the decimal point moves to the left, and the power of 10 is positive.
When the number is smaller than 1 the decimal point moves to the right, so the power of 10 is negative.
Bag A has five red marbles and two green ones. Bag & has seven red
marbles and three green ones.
Which bag has the greater probability of drawing a green marble?
Answer:
bag B
Step-by-step explanation:
bag A: 5R and 2G
bag B: 7R and 3G
Bag A probability for green is 2/7
bag B probability for green is 3/10
if we convert the fractions to have a common denominator:
bag A: 20/70
bag B: 21/70
so bag B has the greater probability of drawing a green marble
91 more than the square of a number
91 more than the square of a number
Let the number = x
91 more than x can be represented as follows
\(\text{algebraic representation = x}^2+\text{ 91}\)How many solutions does this system have? no solutions one unique solution O O two solutions O or an infinite number of solutions
Answer:
no solutions
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
equation of blue line is y = x + 2 , in slope- intercept form
with slope m = 1
equation of red line is y = x - 3 , in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes
then the blue and red lines are parallel.
the solution to the system is at the point of intersection of the 2 lines
since the lines are parallel then they do not intersect each other.
thus the system shown has no solution.
Identify the level of measurement of the data, and explain what is wrong with the given calculation. Ina set of data, alert levels are represented as 1 for low, 2 for medium, and 3 for high. The average mean of the 522 alert levels is 1.3. The data are at the ________ level of measurement. a. Nominalb. Ordinalc. Ratiod. IntervalWhat is wrong with the given calculation?a. Such data should not be used for calculations such as an average.b. One must use a different method to take the average of such datac. The true average is 2.5d. There is nothing wrong with the given calculation.
Answer:
(1) Ordinal
(2) Such data should not be used for calculations such as an average.
Step-by-step explanation:
Given
\(1 \to Low\)
\(2 \to Medium\)
\(3 \to High\)
\(Average = 1.3\)
Solving (a): The level of measurement
When observations are presented in ranks such as:
\(1 \to Low\)
\(2 \to Medium\)
\(3 \to High\)
The level of measurement of such observation is ordinal
Solving (b): What is wrong with the computation?
Ordinal level of measurement are not numerical values whose average can be calculated because they are used as ranks.
Hence, (a) is correct
What is the volume of the cylinder shown below?
A. 260x cu. units
B. 3380x cu units
C. 169x cu units
D. 5200x cu units
Answer: B
some one already awnsered this
I need help :D NOW or else
Answer:
plasma
Step-by-step explanation:
just not photosynthesis or gravity so it has to be plasma
also:
The aurora borealis (northern lights) form when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere.
and
Because it consists of charged particles, plasma can conduct electricity and respond to a magnetic field.
^^bolded stuff is connected points to make plasma the answer
For each sequence, state if it is arithmetic, geometric, or neither.
0, 3, 8, 15, 24
Answer:
Step-by-step explanation:
0, 3, 8, 15, 24, . . .
it is arithmetic
Justin needs to memorize words on a vocabulary list for Spanish class. He has 30 words to memorize, and he is two-thirds done. How many words has Justin memorized so far
20 points!!! pls hurry!!! I need the CORRECT answer in three hours or less!!! What is the slope of this line? A. -1/3 B. -2/3 C. 1/3 D.2/3
Answer:
D
Step-by-step explanation:
RISE/RUN = slope
This slope will be POSITIVE because it rises in quadrant 1.
Rise=2, run=3
Slope= 2/3
Hope that helps
Simply the expression by combining like terms.
9x + 8 + 3x +4=
What is 2 x 4 for math class
Answer:
2 x 4 = 8
Step-by-step explanation:
2+2 = 4 add another 4 and you get 8
-5 = -36 / m + m
pls help me with this question hurry
This is 6 grade work
The solution of the given quadratic equation -5 = -36 / m + m is,
m = - 9 or m = 4
The given equation is
-5 = -36 / m + m
After re arranging it we get,
m² + 5m - 36 = 0
This is nothing but quadratic equation,
Since we know that,
The definition of a quadratic as a second-degree polynomial equation demands that at least one squared term must be included. It also goes by the name quadratic equations. The quadratic equation has the following generic form:
ax² + bx + c = 0
So now we can write,
⇒ m² + 9m - 4m - 36 = 0
⇒ m(m + 9) - 4(m + 9) = 0
⇒ (m + 9)(m - 4) = 0
Therefore,
⇒ (m + 9) = 0 or (m - 4) = 0
⇒ m = - 9 or m = 4
Thus,
The solution of the given expression is
m = - 9 or m = 4
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Find the area and perimeter of the figure
The perimeter and area of the given composite shape are respectively; 10a² + 10b and 37a²b
How to find the area and perimeter of a composite figure?The perimeter of the composite figure here will simply be the sum of the entire boundary lengths and as such we have;'
Perimeter = 2(a² + 3a² + a²) + 2(4b) + b + b
= 10a² + 8b + 2b
= 10a² + 10b
The area of a rectangle is;
Area = Length * width.
Thus;
Area of composite shape = Overall area of rectangle - Area of cut out rectangle
Area = (10a² * 4b) - (3a² * b)
Area = 40a²b - 3a²b
Area = 37a²b
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A cyclist rode 3.85 miles in 0.7 hours. How fast was she going in miles per hour?
A. 3.85 miles per hour
B. 0.18 miles per hour
C. 5.5 miles per hour
D. 1.4 miles per hour
Solve:
20/x =2
a. x = 40
c. x = 20
b. x = 10
d. x = 15
answer is B. x=10
Answer:
b. x=10
Step-by-step explanation:
20/x=2
To get the 20 onto the other side and the x by itself, multiply both sides by 20.
x=20/2
x=10
What is the fractional equivalent of the repeating decimal n = 0.1515... ?
Answer the questions to find out.
1. How many repeating digits does the number represented by n have? (2 points)
2. You need to multiply n by a power of 10 to help you find the fraction. Decide on the power of 10 to multiply by, and tell how you identified that number. (2 points)
3. Write an equation where the left side is your power of 10 times n and the right side is the result of multiplying 0.1515... by that power. (2 points)
4. Write the original equation, n = 0.1515... underneath your equation from question 3. Then subtract the equations. Show your work. (2 points)
5. Write n as a fraction in simplest form. Show your work. (2 points)
What is fractional equivalent?
Equivalent fractions are fractions with distinct numerators and denominators but the same value.
1. The number represented by n has two repeating digits, 15.
2. To convert the repeating decimal to a fraction, we need to identify the place value of the repeating digits. In this case, the repeating digits start immediately after the decimal point, so we need to multiply by a power of 10 that is equal to the number of repeating digits, which is 2.
3. Power of 10 times n = 10^2 x 0.1515... = 15.15...
\(0.1515... x 10^2 = 15.15...\\\\\)
4.
\(10^2n = 15.15...\\\\n = 0.1515...\\\\99n = 15\)
To obtain the equation, we multiplied the original bby 100 to eliminate the decimal, which gives 100n = 15.1515... We then subtracted the original equation from the multiplied equation to eliminate the repeating digits, which gives 99n = 15.
5. 99n = 15
n = 15/99
To obtain the fraction, we divided both sides of the equation by 99.
Therefore, the fractional equivalent of the repeating decimal n = 0.1515... is 15/99, which can be simplified to 5/33 in simplest form.
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