First, calculate the surface area of the inside of the tank by multiplying the length, width, and height: 3 m * 2 m * 1.5 m = 9 m^2.
Then, calculate the surface area of the outside of the tank by adding the surface area of all 6 sides: 2 * (3 m * 1.5 m + 2 m * 1.5 m + 3 m * 2 m) = 24 m^2.
Finally, add the surface area of the inside and outside to get the total surface area: 9 m^2 + 24 m^2 = 33 m^2.
To find the amount of paint required, divide the total surface area by the coverage per kg of paint: 33 m^2 / 20 m^2/kg = 1.65 kg.
A man invested $ in a company at the start of January 2020, on which he earns quarterly dividends. At the end of the second, third and fourth quarter in 2021, he earns $100, $115 and $130 respectively.
Calculate the total dividends on his investment by the end of 2026.
Please help
A corporation pays dividends to its stockholders in order to distribute profits to them.
What do you meant by dividends?A dividend, which is typically derived from the company's net profits, is a compensation given to shareholders for their investment in the equity of a company. In the United States, cash dividends—cash payments made to investors on a per-share basis—make up the majority of dividends.
For instance, if a business distributes a dividend at the rate of 20 cents per share, an investor holding 100 shares would get $20 in cash. An increase in the number of shares owned is a percentage of a stock dividend.
A dividend that is given to shareholders in the form of extra company shares is known as a stock dividend. Until the shares are sold by the owner, stock dividends are not subject to tax. Due to the issuance of additional shares, stock dividends, like stock splits, cause a decrease in the share price.
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Give the truth values of the propositions.
a. If only every morning could be as sunny and clear as this one!
b. Fifteen is an even number.
c. If Jennifer is late for the party, then her cousin Zachary will be quite angry.
d. On June 30, 1986, Christine Marie Evert had won the French Open seven times.
Answer:
THE ANSWER IS C
Step-by-step explanation: BECAUSE IT IS I
A proposition exists in this statement. Until we know if Jennifer will be late for the party and whether her cousin Zachary would become irate if she is, we cannot determine its true value. The right answer is C.
What is a preposition?a. Because it is not a declarative sentence that can be either true or incorrect, this statement cannot be considered a proposition. Instead of expressing reality, it reflects hope or desire.
b. False. Fifteen is an odd number, not an even number.
c. A proposition exists in this statement. Unless we know if Jennifer will be late to the party and whether her cousin Zachary would become irate if she is, we cannot determine its veracity.
d. False. Chris Evert didn't win the French Open seven times on June 30, 1986; he only did so five times.
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Leah would like to earn at least $125 per month. They babysit for $5 per hour and work at an ice cream shop for $7 per hour. Leah cannot work more than a total of 21 hours per month. Let x represent the number of hours Leah babysits and let y represent the number of hours Leah works at the ice cream shop.
If Leah babysits for 11 hours this month, what is the minimum number of hours they would have to work at the ice cream shop to earn at least $125?
Answer:
10 hours
Step-by-step explanation:
7(y) + 5(x)=125
7(y) + 5(11) = 125
7(y) + 55=125
-55. -55
7(y)= 70
7/7 = 70/7
Y=10
Find the sum and express it in simplest form.
(-6b²2b-1) + (-2b² + 4b)
100
Clear all
Enter the correct answer.
000
DONE
Answer:
-8b^2 + 4b
Step-by-step explanation:
To simplify the expression (-6b^2 2b-1) + (-2b^2 + 4b), we need to combine like terms.
First, let's distribute the negative sign to the terms inside the first set of parentheses:
(-6b^2) + (-2b^1) = -6b^2 - 2b^1
Now let's combine the terms inside the second set of parentheses:
(-2b^2) + (4b) = -2b^2 + 4b
Finally, let's add the two expressions:
(-6b^2 - 2b^1) + (-2b^2 + 4b) = -6b^2 - 2b^1 - 2b^2 + 4b
Simplifying, we get:
-8b^2 + 4b = -8b^2 + 4b
The final simplified expression is: -8b^2 + 4b.
How to take a sample of the student population that would not represent the population well
Choosing a sample from a population with some biasing would not represent the population well.
What is a population sample?The entire group about whom you want to make conclusions is referred to as a population. The particular group from which you will gather data is known as a sample. The sample size is always smaller than the population as a whole.
There are four types of sampling in statistics they are,
Simple random sampling, stratified sampling, cluster sampling, and systematic sampling are all types of probability sampling.
A random sample is such that the probability of choosing each sample is the same.
When we choose a sample biasedly then that sample might not represent the population sample well.
For example, choosing a sample from a population of trees for checking damages.
If we choose all the trees near to the side of the road it can happen that the trees just beside the road are more damaged.
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Which expression is equivalent to
O
O
4x[√/y²)
9
2x [2√/y²)
3
4x²y
9
2x²y
3
16x¹1y8
81x76 ? Assume x > 0 and y* 0.
Answer:
[tex] \frac{2x( \sqrt[4]{y}^{2}) }{3} [/tex]
Step-by-step explanation:
⁴√[(16x ^ 11 * y ^ 8)/(81x ^ 7 * y ^ 6)]=
=⁴√[(16x ^ 4 * y ^ 2)/81]=
=⁴√{[(4x ^ 2 * y)/9] ^ 2}=
=√[(4x ^ 2 * y)/9)]=
=[√(4x ^ 2 * y)]/3=
=(2x⁴√y²)/3
An equivalent expression for the given expression is 2x[tex]\sqrt[4]{y^2}[/tex]/3. Therefore, option B is the correct answer.
What is an equivalent expression?Equivalent expressions are expressions that work the same even though they look different. If two algebraic expressions are equivalent, then the two expressions have the same value when we plug in the same value for the variable.
The given expression is [tex]\sqrt[4]{\frac{16x^{11}y^8}{81x^7y^6} }[/tex]
Here, [tex]\sqrt[4]{\frac{2^4x^{11}y^8}{3^4x^7y^6} }[/tex]
= [tex]\sqrt[4]{\frac{2^4x^{4}y^2}{3^4} }[/tex]
= 2x[tex]\sqrt[4]{y^2}[/tex]/3
Therefore, option B is the correct answer.
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Find the value of each variable in each parallelogram.
The value of variables are,
1) h = - 3
2) r = 2
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
We know that;
Diagonals of a parallelogram are equal to each other.
In figure 1;
We can formulate;
⇒ 2h + 2 = 2h + (h + 5)
⇒ 2h + 2 = 2h + h + 5
⇒ 2h + 2 = 3h + 5
⇒ 2 - 5 = 3h - 2h
⇒ - 3 = h
⇒ h = - 3
In figure 2;
We can formulate;
⇒ 5r + 5r = (5r - 2) + (4r + 4)
⇒ 10r = 5r - 2 + 4r + 4
⇒ 10r = 9r + 2
⇒ 10r - 9r = 2
⇒ r = 2
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It rains, and the wind is never weary; My thoughts still cling to the moldering Past, But the hopes of youth fall thick in the blast, And the days are dark and dreary. Be still, sad heart! and cease repining; ABBAA Behind the clouds is the sun still shining; AABBA ABCAB Thy fate is the common fate of all, ABCDA Into each life some rain must fall, ABBCC Some days must be dark and dreary. What is the rhyme scheme of this poem?
ABBAA
AABBA
ABCAB
ABCDA
ABBCC
Rhyming scheme of "It rains, and the wind is never weary" is AABBA. Option (b) is correct.
What do you mean by Scheme?A scheme is a well-organized plan for carrying out an action, particularly one that is dishonest or unlawful but will benefit you.
He paints his feelings and the storm raging around him as dark and gloomy in the poem's opening lines. The weather/depression cannot be avoided. He displays a yearning for the past, his youth, and possibly the dreams he had at that time.
He addresses his heart directly in the final verse, imploring it to calm down and accept what is happening. There will always be days when things seem more hopeless; that is just a fact of life.
Therefore, These quintains use the straightforward rhyme system AABBA, switching up the end sounds from stanza to stanza. Rain falls, but the wind never stops.
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When adding numbers with several digits , the _______ column should be added first.
A) tens
B) ones
C) hundreds
D) thousands
Answer:
c
Step-by-step explanation:
▲ ABC has vertices A(-3, 3), B(2, 5), and C(4, -3). a. What is the x-coordinate of the centroid of ABC?
The x coordinate of the centroid of triangle ABC with vertices A(-3, 3), B(2, 5), and C(4, -3) is 1
What is centroid of a triangle?The center of the an object is represented by its centroid. The centroid of a triangle is the location where the triangle's three medians intersect. It can alternatively be described as the location where the three medians come together.
For a triangle the formula to find the vertex is
X coordinate: (x₁ + x₂ + x₃)/3
Y coordinate: (y₁ + y₂ + y₃)/3
substituting for the vertices A(-3, 3), B(2, 5), and C(4, -3)
X coordinate = (x₁ + x₂ + x₃)/3
X coordinate = (-3 + 2 + 4)/3
X coordinate = 1
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Charlie took a nap. He fell asleep at 11:25 AM and he woke up at 3:12 PM. How long did he sleep?
Answer:
[tex]\huge\boxed{\sf 3\ hours\ 47\ minutes}[/tex]
Step-by-step explanation:
Fell asleep = 11:25 AM
Woke up = 3.12 PM
When we go from 11:25 AM to 12:25 PM, he slept for 1 hour.
From 12:25 PM to 1:25 PM, it will be 2 hours.
From 1:25 PM to 2:25 PM, it will be 3 hours.
From 2:25 PM to 3:00 PM, it will be 3 hours 35 minutes.
From 3:00 PM to 3:12 PM, it will be 3 hours 35 minutes + 12 minutes.
So,
He slept for 3 hours 47 minutes.
[tex]\rule[225]{225}{2}[/tex]
Arik bought 20 calculators at the electronics store. 40% of the calculators were scientific calculators and 1/2 of the calculators were graphing calculators. How many of the calculators were neither scientific calculators nor graphing calculators?
Arik bought 8 scientific calculator and 12 graphing calculator.we can find by using percentage.
What is a percentage in math?Percentages are fractions where the denominator is 100. To show that a number is a percent we use the percent symbol (%) beside the number. For example, if you got 75 questions right out of 100 on a test (75/100) you would have scored 75%.
What is percentage of formula?Percentage can be calculated by dividing the value by the total value and then multiplying the result by 100. The formula used to calculate percentage is: (value/total value)×100%.Percentages are important for understanding the aspects of everyday life.
Now we have
Arik has 20 calculator at store
40% scientific calculator= 20*40/100
=800/100
=8
he buys graphing calculator=20-8
=12
Each calculator is 5 percent.
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What is (7 5/6−5 1/3)+1 1/9 ?
let's firstly convert all mixed fractions to improper fractions.
[tex]\stackrel{mixed}{7\frac{5}{6}}\implies \cfrac{7\cdot 6+5}{6}\implies \stackrel{improper}{\cfrac{47}{6}} ~\hfill \stackrel{mixed}{5\frac{1}{3}} \implies \cfrac{5\cdot 3+1}{3} \implies \stackrel{improper}{\cfrac{16}{3}} \\\\\\ \stackrel{mixed}{1\frac{1}{9}}\implies \cfrac{1\cdot 9+1}{9}\implies \stackrel{improper}{\cfrac{10}{9}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\left( \cfrac{47}{6}-\cfrac{16}{3} \right)+\cfrac{10}{9}\implies \cfrac{47}{6}-\cfrac{16}{3} +\cfrac{10}{9}\implies \cfrac{(3)47~~ - ~~(6)16~~ + ~~(2)10}{\underset{\textit{we'll be using this LCD}}{18}} \\\\\\ \cfrac{141~~ - ~~96~~ + ~~20}{18}\implies \cfrac{65}{18}\implies {\Large \begin{array}{llll} 3\frac{11}{18} \end{array}}[/tex]
Select all that Apply
A. The domain is the set of all real
numbers greater than or equal to
zero.
B. The range is the set of all real
numbers greater than or equal to
zero.
C. The range is the set of all real
numbers.
et of all real numbers.
D. The Domain is the set of all real numbers
D. The Domain is the set of all real numbers.
The domain of the functionThe domain of a function is the set of all input values that the function will accept. In the case of the function f(x)= x, the domain is all real numbers greater than or equal to zero. This means that any real number greater than or equal to zero can be input into the function, and the function will produce an output. The range of a function is the set of all output values that the function produces. In the case of the function f(x) = x, the range is also all real numbers greater than or equal to zero.This means that for any real number greater than or equal to zero, the function will produce an output that is also a real number greater than or equal to zero. In conclusion, the domain of the function f(x) = x is all real numbers greater than or equal to zero, and the range of the function is also all real numbers greater than or equal to zero.To learn more about the domain of the function refer to:
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3. Approximately how many words should be included in an average sentence in a news story?
O 30
27
O 17
050
Answer:
im pretty sure 17
Step-by-step explanation: suhkmjnk
how much is 23,000 borrowed for 7 years at an interest of 3%
Answer:$27,463.202820167
Complete the equation: ² + 22x +_ = (___)²
A. 121; X+11
B. 22; X-22
C. 22; X+ 22
D. 121; X-11
Answer:
Keme lang bhie33
Step-by-step explanation:
this is some geometry
The value of x is 5.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
We are given that the quadrilaterals JKLM and PQRS are congruent.
The parameters are given as;
mJ = - 21, jk = 4y-2, kl=6x+3,
lm = 36, pq= 10, qr= 11, and rs= 12.
The formula for the ratio of similar figure is,
JKLM and PQRS
JK/ LM = PQ/ RS
4y-2 / 36 = 10 / 12
Cross-multiply solving;
48y - 24 = 360
48y = 360 + 24
y = 8
Now,kl/ ml = QR / RS
6x+3 / 36 = 11 / 12
Cross-multiply solving;
72x + 36 = 396
72x = 360
x = 360 / 72
x = 5
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The average fuel efficiency of a new car model is 30 mpg with a standard
deviation of 4 mpg. A simple random sample of 100 cars of this new car model is
to be selected and the sample mean fuel efficiency is to be computed. Explain
why the sampling distribution of the mean has approximately a normal
distribution.
The sampling distribution of the mean fuel efficiency will be approximately normal as the sample size is large.
Why us the sampling distribution normal?The Central Limit Theorem states that if you have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normal, regardless of the shape of the distribution of the population from which the sample is drawn.
In this case, you are taking a sample of 100 cars from a population with a mean fuel efficiency of 30 mpg and a standard deviation of 4 mpg. Since the sample size is sufficiently large, the sampling distribution of the mean fuel efficiency will be approximately normal.
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Identify percent of change. 20 is decreased to 6.
Answer:
70%
Step-by-step explanation:
the formula for percent of change is:
New value - Old value divided by Old value
we can write this algebraically as:
(6-20)/20 which is -14/20
the negative simply implies a 'decrease' from old to new
14/20 equals 70/100 or 70%
Answer:
The answer to your question is 70% decrease
Step-by-step explanation:
I hope this helps and have a wonderful day!
〖〖lim〗┬(x→0) 〗〖〖3x〗^2/(1- 〖cos〗^2 1/2 x)〗
The limit lim x → 0 (3x²/(1 - cos²(x/2)) = 0
What are limits?A limit is the value of a function as the independent variable tends to a particular value.
How to find the given limit?Given the limit lim x → 0 (3x²/(1 - cos²(x/2))
We desire to evaluate the limit.
To evaluate the limit, we proceed as follows.
Since lim x → 0 (3x²/(1 - cos²(x/2)), substituting x = 0 into the equation, we have that
lim x → 0 (3x²/(1 - cos²(x/2)) = (3(0)²/(1 - cos²(0/2))
= (3(0)/(1 - cos²(0)),
= ((0)/(1 - (cos(0)²))
= 0/(1 - 1)
= 0/∞
So, using l'hopital's rule which states that lim x → a f(x)/g(x) = lim x → a f'(x)/g'(x)
So, lim x → 0 (3x²/(1 - cos²(x/2)) = lim x → 0 (d3x²/dx/d(1 - cos²(x/2))/dx,
= lim x → 0 2x/2cos(x/2)sin(x/2)
= lim x → 0 2x/sinx
= 2(0)/sin0
= 0/0
Using l'hopital's rule again, we have that
lim x → 0 2x/sinx = lim x → 0 d2x/dx/dsinx/dx
= lim x → 0 2/cosx
= 2/cos(0)
= 2/1
= 2
So, we have that the limit lim x → 0 (3x²/(1 - cos²(x/2)) = 2
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The simplified sum of the second and forth integers are
The simplified sum of the second and fourth integers is 2x + 4.
What is the whole number?
Whole numbers are numbers without fractions and it is a collection of positive integers and zeros. It is represented by the symbol “W” and the set of numbers is {0, 1, 2, 3, 4, 5, 6, 7, 8, 9,……………}.
Integers are whole numbers, and consecutive integers are whole numbers that are next to each other with a space of "1" between them,
i.e. 1, 2, 3, 4... or -2, 1, 0, 1...
Thus, if the first integer is "x" and the next is "x+1" then "x+2" and "x+3."
The sum = x+x+1+x+2+x+3 = 4x+6.
The sum of the second and fourth integers is:
= x+1 + x+3
= 2x + 4
Hence, the simplified sum of the second and fourth integers is 2x + 4.
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The partial factorization of x²-x-12 is modeled with
algebra tiles.
+X
+X
+X
-X
-X
-X
+
I
+X+X+X
1
1
+
1
I
+
1
1
I
1
Which unit tiles are needed to complete the
factorization?
O 3 negative unit tiles
O 3 positive unit'tiles
O4 negative unit tiles
O4 positive unit tiles
The factors of the expression x² - x - 12 are 4 and -3.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
x² - x - 12
Using middle-term factorization.
x² - (4 - 3)x - 12
x² - 4x + 3x - 12
x(x - 4) + 3(x - 4)
(x - 4) (x + 3)
x - 4 = 0
x = 4
x + 3 = 0
x = -3
Thus,
The factors are 4 and -3.
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2. Complete the table.
sin a° = 3/√13, cos a° = 2/√13 and tan a° = 3/2 as per the rules of a trigonometric ratio.
What are trigonometric ratios?Trigonometric ratios are developed based on the right-angled triangle.
The largest side length of a right-angled triangle is called hypotenuse.
Suppose an angle Ф is in between the hypotenuse and base of a triangle. The base is called the adjacent side.
The remaining side length is called the opposite side length.
sinФ = opposite side length/ hypotenuse
cosФ = adjacent side length /hypotenuse
tanФ = opposite side length/adjacent side length
What is the trigonometric ratio given in the above table?According to the figure, a right-angled triangle has hypotenuse 3√13, angle a is in between hypotenuse and base of the triangle.
The length of adjacent side to the angle a° is 6 units and opposite side has a length 9 units.
now, according to the trigonometric ratio
sin a° opposite side /hypotenuse = 9 /3√13 = 3/√13
cos a° = adjacent side / hypotenuse = 6/3√13 = 2/√13
tan a° = opposite side/adjacent side = 9/6 = 3/2
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3. Which proportion has an m value of 16.5 ?
m/10.4=18.9/65
m/54.2=82.5/271
m/65.7=104.5/305
m/23.8=55.6/188
The proportion has an m value of 16.5 is
m / 54.2 = 82.5 / 271
What is proportions?The word proportion generally denotes a portion, share, or sum when compared to a total.
When two ratios are equal, they are in proportion, as stated by the definition of proportion. When an equation or a statement to are said to be proportional then the two ratios or fractions are equal.
Each of the options is solved for m to find that the second option has the m = 16.5
m / 54.2 = 82.5 / 271
cross multiplying gives
m / 54.2 = 165/542
m = 16.5
m is solved to get 16.5
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Please help find the area
The triangle's area is listed as: 70.50cm2.A shape's surface area is measured by its area.
What explains the above-mentioned resolution?A shape's surface area is measured by its area.By multiplying the length and breadth of a rectangle or square, you can get its area.Area A is equal to x times y.
Square measurements, such as square inches, square feet, or square meters, are used to describe area.Multiplying a rectangle's length and breadth will reveal its area.A is the area, L is the length, W is the width, and * denotes multiply in the formula.
Area of the darkened area is equal to the sector's area minus the triangle's area.This is displayed as:π r² (∅/360) - 1/2 x b x h
= π x 14² x (46/360) - (1/2) x 14 x 10.0708
= 78.6794 - 70.4956
= 8.1838 cm²
Consequently, the triangle's area is equal to (1/2) x 14 x 10.0708.
= 70.4956 cm²
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In the diagram below, OPis circumscribed about quadrilateral ABCD. What is
the value of x?
A
X*
"P
a
120
D
O
O
A. 120°
B. 60°
C. 80°
OD. 30°
SUBMIT
The value of the variable 'x' will be 60°. Then the correct option is B.
What is a cyclic quadrilateral?If the quadrilateral is inscribed in a circle then the quadrilateral is known as a cyclic quadrilateral. And the sum of opposite angles of the quadrilateral is 180 degrees.
In the diagram below, P is circumscribed about quadrilateral ABCD. Then the equation is given as,
x + 120° = 180°
Simplify the equation, then we have
x + 120° = 180°
x = 180° - 120°
x = 60°
The value of the variable 'x' will be 60°. Then the correct option is B.
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5.02 One Step Equations
Solve for m
16 m = -29
m=13
m=-13
m=15
m=-45
Answer:
m= -45
Step-by-step explanation:
-16-m=29
-16-29=m
-45=m
Can anyone please help me with this math question for 15 points
Answer: The sum that is equivalent to 3/5 + 1/6 is 18/30 + 5/30.
Step-by-step explanation:
This is because both 18/30 and 5/30 can be simplified to 3/5 and 1/6 respectively.
18/30 can be simplified by dividing both numerator and denominator by 6, which results in 3/5.
5/30 can be simplified by dividing both numerator and denominator by 5, which results in 1/6.
So 18/30 + 5/30 = 3/5 + 1/6.
The other options are not equivalent, 6/10 + 2/10 is equivalent to 4/5, 12/30 + 5/30 is equivalent to 17/30 and 3/11+4/11 is equivalent to 7/11
2/5 = ?/25
Use a model to find the missing value in the proportion.
A. 4
B. 5
C. 10
D. 22
Answer: C- 10
Step-by-step explanation: first have the bottom half of tyhe equation equal each other
5*x=25
x=5
then multiply 2 by x
2x=10
10 is the answer
