Can someone please tell me the specific solving steps for this equation.
I stopped after changing log10(10x) into ln10x/ln10.
Answers
The integral ∫₁/₁₀¹⁰[㏒₁₀(10x)/x]dx = 2㏑10
What is integration?Integration is the process of finding the antiderivative of a fuinction.
How to find the given integral.Given the integral
[tex]\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx[/tex]
We evaluate the integral as follows
[tex]\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx[/tex]
Now, using the properties of the laws of logarithms, we have ㏒ab = ㏒a + ㏒b
So, [tex]\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10 + log_{10}x }{x} } \, dx \\= \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10}{x} } \, dx + \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}x}{x} } \, dx \\= \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}x}{x} } \, dx\\[/tex]
So, using the property of change of base of logarithm, we have that
logx = lnx/ln10
, [tex]\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \int\limits^{10}_{\frac{1}{10} } {\frac{\frac{lnx}{ln10} }{x} } \, dx\\= \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \frac{1}{ln10}\int\limits^{10}_{\frac{1}{10} } {\frac{lnx}{x} } \, dx\\= \int\limits^{10}_{\frac{1}{10} } {\frac{1}{x} } \, dx + \frac{1}{ln10}\int\limits^{10}_{\frac{1}{10} } {{lnx} \, dlnx[/tex]
[tex]\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = {[lnx]_{\frac{1}{10}}^{10} } + {\frac{[lnx]^{2}}{2} }_{\frac{1}{10}}^{10} } \\= ln10 - ln\frac{1}{10} + \frac{1}{2}[[ln10]^{2} - [ln\frac{1}{10}]^{2} ] \\= ln10 + ln10 + \frac{1}{2}[[ln10]^{2} - [-ln10}]^{2} ]\\= ln10 + ln10 + \frac{1}{2}[[ln10]^{2} - [ln10}]^{2} ]\\= 2ln10 + 0\\= 2ln10[/tex]
So, the we see that the integral [tex]\int\limits^{10}_{\frac{1}{10} } {\frac{log_{10}10x }{x} } \, dx = 2ln10[/tex]
Learn more about integration here:
https://brainly.com/question/30426197
#SPJ1
Related Questions
Mr. Adams divides 730 cookies onto plates with of 35 cookies on each plate. How many plates will he fill? How many extra cookies will he have?
Answers
Answer:
Step-by-step explanation:
Mr. Adams will fill 21 plates, and he will have 5 extra cookies.
To find the number of plates filled by Mr. Adams, we need to divide 730 cookies by 35 cookies per plate:
730 ÷ 35 = 21
So, Mr. Adams will fill 21 plates.
To find the number of extra cookies, we use the modulo operator to find the remainder after dividing 730 by 35:
730 % 35 = 5
So, Mr. Adams will have 5 extra cookies.
Which of the following is a unit rate?????
Answers
Answer:
the answer is foot/hour
A person decides to take a walk. They walk ten miles north (up), tw east (right), and ten miles south (down). How far was the person disclaced?
Answers
We can quickly determine that the person has been moved by 10 miles by logical reasoning.
What is logical reasoning?A mental process called logical reasoning seeks to reach a conclusion in a precise way.
By beginning with a set of premises and reasoning to a conclusion supported by these premises, it takes the shape of inferences or arguments.
Propositions, or true or false statements about the reality of a situation, are what the premises and the conclusion are.
They have a disagreement as a group.
In the sense that it seeks to develop correct arguments that any sane person would find persuasive, logical reasoning is norm-governed.
Logic is the primary academic field that studies logical reasoning.
So, using logical thinking, we can easily tell that the person is displaced by 10 miles.
(refer to the image attached below)
Therefore, we can quickly determine that the person has been moved by 10 miles by logical reasoning.
Know more about logical reasoning here:
https://brainly.com/question/28285646
#SPJ1
What number compared to 10 is the same as 28 compared to 5 A. 46 B. 36 C. 56 D. 66
HELP ME PLEASE
Answers
The number 56 when compared to 10 is the same as 28 compared to 5.
Option- C(56)
Let x be the number when compared to 10 is same as 28 compared to 5.
So, finding the value of x by comparing the ratios of the above stated values.
Therefore,
[tex]\frac{x}{10} = \frac{28}{5}[/tex]
So, Cross multiplying the above equation,
x × 5 = 28 × 10
5x = 280
x = [tex]\frac{280}{5}[/tex]
x = 56
So, 56 when compared to 10 bears the same ratio as 28 compared to 5.
Option number - C
Learn more about ratio here brainly.com/question/14289175
#SPJ4
Express as a single fraction
Answers
As the single fraction, we can write the expression as -
k/x.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as follows -
{(kx + k²)/x²} × {x/(x + k)}
The given expression is -
{(kx + k²)/x²} × {x/(x + k)}
{k(x + k)/x²} × {x/(x + k)}
k/x
Therefore, as the single fraction, we can write the expression as -
k/x.
To solve more questions on functions, visit the link below-
https://brainly.com/question/17613163
#SPJ1
Consider the equation a^3 - b^3 / (a-b)^3 = 91 where a and b are real numbers a>b>0. Find b/a.
Answers
The value of b/a is b/a = 91/3 {(1-b/a)²}.
What is the Cubic equation?Cubic equations are polynomials of degree 3. That means the maximum degree of the polynomial is three.
And the standard form of a cubic equation is;
f(x) = ax³ + bx² +cx +d, where a, b, c, and d are constant coefficients a ≠ 0.
Given:
A cubic equation,
a³ - b³ / (a-b)³ = 91 where a and b are real numbers a>b>0.
Simplifying,
(a-b)(a²+b²+ab)/(a-b)³ = 91
(a²+b²+ab)/(a-b)² = 91
(a²+b²+ab-3ab+3ab)/(a-b)³ = 91
3ab/(a-b)² = 91
b/a = 91/3 {(a - b)²/a²}
b/a = 91/3 {(a - b/a)²}
b/a = 91/3 {(1-b/a)²}
Hence, b/a = 91/3 {(1-b/a)²}.
To learn more about the cubic equation;
brainly.com/question/13730904
#SPJ1
Please help ASAP
Frequency Distribution table
Answers
The answer is:
A frequency distribution for a collection of data is shown in the accompanying table.
The intervals or ranges of the data are displayed in the left column of the table, and the frequency or number of observations within each interval is displayed in the right column.
For instance, the first row demonstrates that 3 observations fall within the range of 10 to 19, the second demonstrates that 5 observations fall within the range of 20 to 29, and so on.
We only combine the frequencies to determine the total number of observations:
Total observations are equal to 3 + 5 + 7 + 4 + 1 = 20.
By averaging the bottom and upper interval bounds, we can also determine each interval's midpoint. As an illustration, the first interval's midway (10-19) is as follows:
Midpoint: (14.5) (10 + 19) / 2
This may be done for each interval, and to display the midpoints, we can add a third column to the table.
The cumulative frequency, which is the overall frequency as we progress from the shortest interval to the longest interval, can then be calculated. The cumulative frequency can be displayed in the table by using a fourth column.
The finished table is shown here:
Interval Frequency Midpoint Cumulative Frequency
Oct-19 3 14.5 3
20-29 5 24.5 8
30-39 7 34.5 15
40-49 4 44.5 19
50-59 1 54.5 20
To know more about Frequency Distribution table visit:
https://brainly.com/question/12385304
#SPJ1
3.465478587489387 is greater than or equal to 6.87490762652
Answers
Answer: it's less than 6.87...
Standing on a cliff 380 meters above the sea, Pat sees an approaching ship and measures its angle of
depression, obtaining 9 degrees. How far from shore is the ship? Now Pat sights a second ship beyond
the first. The angle of depression of the second ship is 5 degrees. How far apart are the ships?
Answers
The first ship with an angle of depression 9° has a 2399.23m distance from the shore. And the first and second ship are on a 1944.19m distance apart.
What is an angle of depressionThe angle of depression is an angle formed between the horizontal line and the line of sight when an observer looks downwards.
Considering the right triangle formed by the height of the cliff and the distance of the ships from the shore, we shall derive a complementary angle considering their respective angles of depression as:
90° - 9° = 81° for the first ship
90° - 5° = 85° for the second ship
such that;
tan 81° = distance of the first ship from the shore/380m {opposite/adjacent}
distance of the first ship from the shore = 380m × cos 81°
distance of the first ship from the shore = 2399.23m
tan 85° = distance of the second ship from the shore/380m {opposite/adjacent}
distance of the second ship from the shore = 380m × cos 85°
distance of the second ship from the shore = 4343.42
the ships distance apart = 4343.42m - 2399.23m
the ships distance apart = 1944.19m
Therefore, first ship with an angle of depression 9° has a 2399.23m distance from the shore. And the first and second ship are on a 1944.19m distance apart.
Know more about angle of depression here:https://brainly.com/question/2096694
#SPJ1
two fair, $6$-sided dice are thrown. what is the probability that the product of the two numbers is a multiple of $5$? express your answer as a common fraction.
Answers
The probability of the product of the two numbers being a multiple of 5 are 9/36.
What is probability?The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.
Here,
We can approach this problem by listing out all the combinations of two numbers from 1 to 6 and counting the number of combinations for which the product is a multiple of 5.
There are 6 x 6 = 36 possible combinations of two numbers from 1 to 6.
The combinations for which the product is a multiple of 5 are: (1, 5), (5, 1), (2, 5), (5, 2), (3, 5), (5, 3), (4, 5), (5, 4), and (5, 5).
So, there are 9 possible combinations for which the product is a multiple of 5.
The probability that the product of the two numbers is a multiple of 5 is 9/36. Expressing this as a common fraction, we have:
P(product is a multiple of 5) = 9/36 = 1/4
The probability that the product of the two numbers is a multiple of 5 is 9/36.
To know more about probability,
https://brainly.com/question/30034780
#SPJ4
Valeria practices the piano 910 minutes in 5 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 4 weeks?
Answers
Answer:
728
Step-by-step explanation:
910/5 = 182 per week
4 weeks = 4*182 =728
A jet ski costs $3,204. If you want to make 36 equal payments, how much is each payment?
Answers
Answer:
$89 for each payment
Step-by-step explanation:
3,204 / 36 = 89
Answer: Each payment is 89 dollars
Step-by-step explanation:
Divide 3,204 by 36 to get how much each payment will be.
Someone please help mee I’m a bit stuck on this question
Answers
Y=4x+1
Answer:
y=4x-1
Explanation:
looking at the x row, as you can see, it goes up by 1 each time. In the y row, it goes up by 4, because -1+4=3, 3+4=7, etc. So your slope is 4, and in the funtion y=mx+b given, that would go in the “m” spot. Then for the “y” spot you need to figure out if x is 0, what is y. Well, that is given to you in the picture. It shows that when x=0, y=-1. So that is you y intercept, going into the b spot. If you put it together, it looks like this: “y=4x-1”.
Help on question 5 A and B
Answers
a) The measure of an interior angle is of 135º.
b) The polygon has 8 sides.
What are the measures?An interior angle is supplementary with it's exterior angle, meaning that the sum of their measures is of 180º.
Hence the measure of the interior angle of a polygon with exterior angle of 45º is given as follows:
180 - 45 = 135º.
The sum of the interior angle measures of a polygon with n sides is given by the equation presented as follows:
S(n) = 180 x (n - 2).
For a regular polygon, all the angles have the same measure, hence:
S(n) = 135n.
Then the value of n, representing the number of sides of the polygon, is obtained as follows:
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45
n = 8 sides.
More can be learned about the sum of the interior angle measures of a polygon brainly.com/question/224658
#SPJ1
63=9k;6,7,8 with one is. it or am I doing this wrong
Answers
Answer: The equation 63 = 9k is correct.
To solve for k, you can divide both sides of the equation by 9:
63/9 = 9k/9
k = 7
So, k = 7 is the solution to the equation 63 = 9k.
Step-by-step explanation:
The value of k in the equation 63= 9k is 7
What are linear expressions?A linear equation is an algebraic equation of the form y=mx+b. involving only a constant and a first-order (linear) term, where m is the slope and b is the y-intercept. Occasionally, the above is called a "linear equation of two variables," where y and x are the variables.
The equation 63 = 9k is a type of linear equations with one variable.. The variable here is K
To find k;
63 = 9k
divide both sides by 9
63/9 = 9k/9
k = 7
therefore the value of k is 7
learn more about linear equation from
https://brainly.com/question/2030026
#SPJ1
The angle of a sector of a circle of perimeter is 24 degree Celsius. Find the radius of the sector
Answers
In light of the query we've got The circle's radius is equivalent to 3.832 units.
Describe perimeter :In geometry, the perimeter is the overall area of a shape's boundary. A shape's perimeter is computed by adding the lengths of all of its sides and edges. Linear measurements like cm, metres, inch, and feet are used to express its dimensions.
The answers to our problem is that area
A = (θ/360) * π * r^2
π = 3.14
Perimeter is 24 degree, The formula for circumference is:
C = 2 x πr
Now, we can calculate the radius using the circumference:
r = C / (2 x π)
Substituting the value of C from the equation above, we get:
r = (24 / (2 x π))
Therefore, the radius of the circle is approximately equal to 3.832 units.
To know more about Perimeter visit :
https://brainly.com/question/6465134
#SPJ1
Which is another way write the division expression 34 divide 8
Answers
Another way to write the division expression 34 divided by 8 is 34/8 or 4.25, where 4.25 is the result of the division.
What is a mathematical expression?
A mathematical expression consists of a statement, at least two variables or integers, and one or more arithmetic operations. It is possible to multiply, divide, add, or subtract values with this mathematical operation. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)
Another way to write the division expression 34 divided by 8 is 34/8 or 4.25, where 4.25 is the result of the division.
Learn more about expression
brainly.com/question/1859113
#SPJ1
PLEASE HELP ASAP Which of the following graphs has a slope of negative three halves and a y-intercept of 2?
graph of a line passing through the points 0 comma 2 and 3 comma 0
graph of a line passing through the points 0 comma 2 and 2 comma negative 1
graph of a line passing through the points 0 comma 3 and 2 comma 0
graph of a line passing through the points 0 comma 3 and 3 comma 1
Answers
The slope is negative three halves for option 2 and the y-intercept is 2. Hence option 2 is the correct answer.
What is slope?A line's steepness and direction are determined by the line's slope. Without actually using a compass, determining a line's slope in a coordinate plane can aid in determining whether the line is parallel, perpendicular, or not.
Any two clearly separated points on a line can be used to calculate the slope of any line. Calculated using the slope of a line formula, the ratio of "vertical change" to "horizontal change" between two different locations on a line is determined.
The y-intercept is obtained when the x coordinate is 0.
From the given options the y-intercept is 2 for option 1 and 2.
The slope is given as:
m = (y2 - y1) / (x2 - x1)
For option 1:
m = (0 - 2) / (3 - 0)
m = -2/3
For option 2:
m = (-1 - 2) / (2 - 0)
m = -3/2
So, the slope is negative three halves for option 2 and the y-intercept is 2. Hence option 2 is the correct answer.
Learn more about slope here:
https://brainly.com/question/11610922
#SPJ1
Using these cards, what is the closest
number to 320 that can be made? You must
use all of the cards and each card can only be
used once.
5 27
FIVE
7 3
TWO
SEVEN
THREE
DECIMAL
POINT
Answers
The closest number to 320 that can be made using these cards is 327.5
How to determine the closest numberFrom the question, we have the following parameters that can be used in our computation:
5 27
FIVE
7 3
TWO
SEVEN
THREE
DECIMAL POINT
To get this number, place the decimal point between the 7 and 5
We also make use of the card with "THREE" and add the number "TWO".
The resulting number is 327.5.
Read more about consecutive numbers at
https://brainly.com/question/10853762
#SPJ1
What two numbers has a sum of 9 and a product of 30
Answers
The two numbers are 3 and 6. We can then solve for y using the quadratic formula:y = [9 ± √(81 - 120)]/2 , y = 3 or 6
The sum of two numbers (x + y) = 9
The product of two numbers (x * y) = 30
We can solve for x and y using the following equations:
x + y = 9
x * y = 30
We can solve for x by dividing both sides of the equation by y:
x = (30/y)
We can then substitute this into the first equation:
(30/y) + y = 9
We can then solve for y by subtracting 30/y from both sides:
y = 9 - (30/y)
We can then solve for y by multiplying both sides by y:
y^2 = 9y - 30
We can then solve for y using the quadratic formula:
y = [9 ± √(81 - 120)]/2
y = 3 or 6
Therefore, the two numbers are 3 and 6.
the complete question is :
What are the two numbers has a sum of 9 and a product of 30 ?
learn more about number here
https://brainly.com/question/10547079
#SPJ4
can someone please help me asap?
Answers
The amount that Reuben owe after 9 years, rounded to the nearest cent is $19,252.95..
What is the accrued amount after 9 years?The formula compound interest is expressed as;
A = P( 1 + r/n )^( n × t )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $8,000Interest rate r = 10% = 10/100 = 0.1Compounded semi annually n = 2 Time t = 9 years Accrued amount A = ?Plug the given values into the above formula and solve for A.
A = P( 1 + r/n )^( n × t )
A = $8,000( 1 + 0.1/2 )^( 2 × 9 )
A = $8,000( 1 + 0.05 )¹⁸
A = $8,000( 1.05 )¹⁸
A = $19,252.95
Therefore, the accrued amount is $19,252.95.
Learn more about compound interest here: brainly.com/question/27128740
#SPJ1
there are 5 students in my class. i want to pick 2 to treat them to a lunch. the 1st picked gets 100% lunch cost covered and the 2nd picked gets 50% of the lunch cost covered. in how many ways can i do this?
Answers
So there are ten different combinations of two pupils out of five when there are five kids in my class and I want to choose two to treat to lunch.
What is combination?A combination in mathematics is a selection of elements from a set with distinct members, where the order of selection is irrelevant. A combination is a mathematical approach for determining the number of potential arrangements in a set of objects when the order of the selection is irrelevant. You can choose the components in any order in combinations. Permutations and combinations are often mistaken. A combination is a method of picking elements from a collection when the order of selection is irrelevant. Assume we have three integers P, Q, and R. Combination defines how many possibilities we may choose two numbers from each set.
Here,
To determine the number of ways to pick 2 students out of 5 to treat them to lunch, you can use the combination formula, which is given by nCr, where n is the number of items to choose from, r is the number of items to choose, and nCr is the number of combinations of n items taken r at a time. In this case, n = 5 and r = 2, so the number of ways to pick 2 students out of 5 is:
5C2 = 5! / (2! * (5 - 2)!) = 10
So, there are 10 possible combinations of 2 students out of 5 when there are 5 students in my class and I want to pick 2 to treat them to a lunch.
To know more about combination,
https://brainly.com/question/20211959
#SPJ4
How can you find missing sides of the special right angle?
Answers
To find the missing sides of the special right angle,
The ratio for 45°,45°and 90°, 1:1:√2,
and for 60°, 30°, 90°, 1:√3:2.
What are Special Right Triangles?Special right triangles are right triangles with three defined interior angles and fixed side ratios. If one side is known in these right-angled triangles, we can find the value of the two missing sides. The 45°- 45°- 90° triangle and the 30°- 60°- 90° triangle are additional names for the two exceptional right triangles.
Given finding the missing sides of the special right angle,
Only right triangles with other internal angles of 30° and 60° or 45°and 45°. are valid according to this criteria. Furthermore, it makes no difference whatever side's length you know in order for the rule to function.
for 45°,45°and 90°.
The 45°,45°,90° theorem states that triangles with these angles will have sides in a ratio 1:1:√2,
where the side opposite 45° equates to 1 in the ratio and the side opposite to 90° equates to √2. To find the missing side, just put the given value in the following ratio and find the value.
For 60°, 30°, 90°
Similar to this, according to the 30°, 60°, 90° theorem, triangles with these angles will have sides in the ratio 1:√3:2,
where the side opposite to 30° equates to 1 in the ratio, the side opposite to 60° equates to √3, and the side opposite to 90° equates to 2 in the ratio. Simply enter the given amount into the following ratio to determine the value to discover the missing side.
Hence the ratios are for 45°,45°and 90°, 1:1:√2,
and for 60°, 30°, 90°, 1:√3:2.
Learn more about Special Right Triangles;
https://brainly.com/question/12046883
#SPJ1
Steve bought 1 burger and 3 fries. The burger cost $5 and the total cost was $14.75. How much is each order of fries?
Answers
what is the angle of the compass direction of a line connecting your starting point to your final position measured north of west in degrees?
Answers
53.9 degree is the angle of the compass direction of a line connecting your starting point to your final position measured from north of west.
A compass is a tool for orientation and navigation that displays direction in relation to the four cardinal directions of the earth (or points). The directions north, south, east, and west are typically represented on the compass face as initialised abbreviations in a design called a compass rose. The rose can be aligned with the corresponding geographic directions when the compass is employed; for instance, the rose's "N" mark points northward. Compass roses are frequently joined with (or occasionally replaced by) marks indicating angles in degrees. East is 90° degrees, south is 180° degrees, and west is 270° degrees, with north being 0° and the angles increasing clockwise.
Here,
You started by travelling west to north.
Your entire distance from the beginning location is your hypotenuse.
[tex]H^{2}= P^{2}+ B^{2} \\\\H^{2}= 17.5^{2}+ 24^{2}\\\\H^{2}= 306.25+ 576\\\\H=\sqrt{882.25} \\\\=29.7 meters[/tex]
You are moving in the northwest.
Use trigonometry now:
[tex]sin\alpha =\frac{B}{H}\\\\sin\alpha =\frac{24}{29.70} \\\\=0.808\\\\\alpha =53.9 degree[/tex]
That's the angle of the compass direction.
Here is more information on trigonometry: brainly.com/question/13729598
#SPJ4
Solve the following problem using analytical techniques: Suppose you walk 17.5 m straight west and then 24.0 m straight north. How far are you from your starting point, & what is the compass direction of a line connecting your starting point to your final point?
A student received a coupon for 14% off the total purchase price at a clothing store. let b be the original price of the purchase. use the expression c - 0.14c for the new price of the purchase. write an equivalent expression to show another way to represent the new price.
Answers
Answer:
The equivalent expression to show another way to represent the new price is b - 0.86b = c .
Step-by-step explanation:
Given that the original price of the purchase is b and the coupon gives a 14% discount, the new price of the purchase is given by:
c = b - 0.14b
To write an equivalent expression, we can multiply both sides of the equation by 100% - 14% to simplify:
c * 100% = b * 100% - 0.14b * 100%
c * 100% = b * (100% - 14%)
c * 100% = b * 86%
c = b * 86%
So, another way to represent the new price of the purchase is c = b * 86%.
How do i do this?!?!?!! Please help!
Answers
a) The value of x is 20 cm
b) The area of cones that sought is 680π cm²
How to find radius and area of conesa) To find the length of x
Compare the ratio and height of the small cone with the large cone
4/x= 7/35
4.35=7x
x= 20 cm, x is the radius of the large cone
b) To calculate the area of the whole cone
The area you are looking for = (Area of the large cone - Area of the small cone) + area of the circle
The area sought = (π20.35 - π4.7) + 2π4
The area sought = 700π-28π+8π
Area sought = 680π cm²
Learn more about cones at https://brainly.com/question/16394302
#SPJ1
Is Ariel correct? Complete the statements.
Ariel is ?
For any value of y,
the statement -12 = 3 is always ?
The equation has ?
Answers
For the given equation, we can complete the statements below:
Ariel is correct. For any value of y, the statement -12 = 3 is always true.
The equation has no solutions.
What is an equation?
A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.
The first part of the question is as given below.
Ariel simplifies the equation 3y - 12 = 3(y+1) and says it has no solution.
We are asked to complete the statements based on the above information.
Simplifying the equation,
3y - 12 = 3(y+1)
3y - 12 = 3y + 3
-12 = 3
Since the y term in the above equation is not present, the given equation has indeed no solution.
Also if we take any value of y, the final answer will always be -12 = 3.
Therefore we can complete the statements as below:
Ariel is correct. For any value of y, the statement -12 = 3 is always true.
The equation has no solutions.
To learn more about equations, follow the link.
https://brainly.com/question/22688504
#SPJ1
Answer: Ariel is correct. For any value of y the statement -12=3 is always false and it’s no solution
Step-by-step explanation:
find the degree and leading coefficient of the polynomial
Answers
Answer: 3,2
Step-by-step explanation: The degree represents the highest exponent in the function. In this case, there is a cubed term which has an exponent of 3. The leading coeffient represents the number before x that makes that highest exponent and in this case its 2.
A rug is 6 7/8
feet long and w feet wide. Which expression does NOT represent the perimeter of the rug in feet?
Answers
An expression which does not represent the perimeter of the rug in feet include the following: C. 2(6 7/8) + w.
How to calculate the perimeter of a rectangle?Mathematically, the perimeter of a rectangle can be calculated by using this mathematical expression;
P = 2(L + W) or P = 2L + 2W
Where:
P represents the perimeter of a rectangle.L represents the length of a rectangle.W represents the width of a rectangle.Substituting the given parameters into the perimeter of a rectangle formula, we have the following expressions;
Perimeter, P = 2(6 7/8 + W)
Perimeter, P = 2(6 7/8) + 2W = 2W + 13 6/8
Perimeter, P = 6 7/8 + W + 6 7/8 + W
Read more on perimeter of a rectangle here: brainly.com/question/17360327
#SPJ1