the value of 0.45 × 0.91 ÷ 0.0117 is 35.
Why it is and what is PEMDAS?
To find the value of 0.45 * 0.91 ÷ 0.0117, we can use the order of operations, which is also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction).
First, we need to perform the multiplication of 0.45 and 0.91:
0.45 ×0.91 = 0.4095
Then, we need to divide the result by 0.0117:
0.4095 ÷ 0.0117 = 35
Therefore, the value of 0.45 * 0.91 ÷ 0.0117 is 35.
PEMDAS is a mnemonic used to remember the order of operations in arithmetic and algebraic expressions. It stands for Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction.
The order of operations is as follows:
Parentheses: Perform operations within parentheses first, working from the innermost set of parentheses to the outermost.
Exponents: Perform any calculations involving exponents, such as raising a number to a power or taking the square root.
Multiplication and Division: Perform multiplication and division in the order that they appear from left to right.
Addition and Subtraction: Perform addition and subtraction in the order that they appear from left to right.
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True or false: If a and x are positive numbers and a ≠ 1, then log a x r = r log a x for any real number r.
The statement " If a and x are positive numbers and a ≠ 1, then[tex]log_a(x^r) = r * log_a(x)[/tex] for any real number r" is true .
Why is the above statement true?To prove the equation, we can start with the definition of logarithms:
[tex]log_a(x) = y[/tex] if and only if [tex]a^y = x[/tex]
Using this definition, we can rewrite both sides of the equation as exponents:
[tex]log_a(x^r) = y[/tex] if and only if [tex]a^y = x^r[/tex]
[tex]r * log_a(x) = y[/tex] if and only [tex]a^y = x^r[/tex]
Since [tex]a^y = x^r[/tex] in both case, we have:
[tex]log_a(x^r) = r * log_a(x)[/tex]
Therefore, the equation [tex]log_a(x^r) = r * log_a(x)[/tex] holds for any positive numbers a and x (where a ≠ 1) and any real number r.
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Le encargaron de tarea a mi hijo la siguiente fracción equivalente ¿alguien me puede ayudar con la repuesta por favor?
7/12= /6
The length of a rectangle is twice its width. If the area of the rectangle is 98cm square, find it’s perimeter
The required perimeter of the rectangle is 42 cm.
What is Rectangle?A quadrilateral with four right edges is a rectangle. It can also be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equivalent. A square is a rectangle with four equally long edges.
According to question:Let's assume that the width of the rectangle is w cm.
The length of the rectangle is twice the width, which means that the length is 2w cm.
The area of the rectangle is given as 98 square cm, so we have:
[tex]$$A = lw = (2w)w = 2w^2 = 98$$[/tex]
Solving for w, we get:
[tex]$$w^2 = 49$$[/tex]
[tex]$$w = \pm 7$$[/tex]
Since the width of the rectangle cannot be negative, we take w = 7 cm.
Then, the length of the rectangle is 2w = 14 cm.
The perimeter of the rectangle is given by:
[tex]$$P = 2l + 2w = 2(14) + 2(7) = 28 + 14 = 42 \text{ cm}$$[/tex]
Therefore, the perimeter of the rectangle is 42 cm.
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Nancy and George (?? relationship) form EB Corporation with the following investments: cash by Nancy of $ ; land by George (basis of $ and fair market value of $ ). EB Corporation issues …. shares of stock,....... each to Nancy and George. Thus, each receives stock in EB worth $. Which of the following statements is correct? [Hints: about section 351?]
The correct statement is that the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss under section 351 of the IRC, and each shareholder's basis in the stock received would depend on their respective contributions.
What is fair market value and stocks?Fair market value is the amount that a product would sell for on the open market if all parties were acting in their own best interests, were not subject to excessive pressure, and were given a reasonable amount of time to complete the transaction (FMV).
The given scenario describes the formation of a corporation by Nancy and George, where Nancy contributes cash and George contributes land. The corporation issues shares of stock to Nancy and George in exchange for their respective contributions.
Section 351 of the Internal Revenue Code (IRC) provides rules for the non-recognition of gain or loss on the transfer of property to a corporation in exchange for its stock. To qualify for non-recognition, certain requirements must be met, including that the transfer must be made in exchange for stock, and the transferors must be in control of the corporation immediately after the exchange.
Assuming that the requirements of section 351 are met, the transfer of the land by George to the corporation in exchange for stock should not result in any immediate tax consequences. George's basis in the stock received would be equal to his basis in the land transferred. Nancy's contribution of cash would not affect her basis in the stock received.
Therefore, the correct statement is that the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss under section 351 of the IRC, and each shareholder's basis in the stock received would depend on their respective contributions.
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Complete question is: Nancy and George form EB Corporation with the following investments: cash by Nancy of $ ; land by George (basis of $ and fair market value of $). EB Corporation issues shares of stock, each to Nancy and George. Thus, each receives stock in EB worth $.
a. the transfer of land by George to the corporation in exchange for stock should qualify for non-recognition of gain or loss
b. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).
c. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).
d. Basis of $ in the EB Corp stock (assuming Bluebird reduces its basis in the land to $).
e. Basis of $ in the EB Corp stock, because her basis exceeded the fair market value of the land she contributed.
carlos pays a monthly fee of 20$, he pays an additonal fee of 0.06 per minute of use. the least he has be charged in a month is 103.10
From the figure find x,y,z, a,b, and c
What is the radius of a hemisphere with a volume of 6043 in 3 , 6043 in 3 , to the nearest tenth of an inch?
The required radius of the hemisphere is approximately 20.27 inches.
What is Hemisphere?Half of a sphere, with one edge flat and the other in the form of a bowl, makes up a hemisphere, a 3D geometric object. The northern and southern hemispheres, a bowl, mushrooms, and other objects are some of the most typical instances of hemispheres.
According to question:The volume V of a hemisphere with radius r is given by:
[tex]$V = \frac{2}{3}\pi r^3$$[/tex]
We are given that the volume of the hemisphere is 6043 cubic inches. So we have:
[tex]$$\begin{align*}\frac{2}{3}\pi r^3 &= 6043 \r^3 &= \frac{3}{2}\cdot 6043 \cdot \frac{1}{\pi} \r^3 &= 9051 \r &= \sqrt[3]{9051} \approx 20.27 \text{ in}\end{align*}[/tex]
Therefore, the radius of the hemisphere is approximately 20.27 inches.
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PLS HELP whats the answeeeerrrrr 53 POINTS ill mark brainlist! just helppppp
Answer:
In order of the expressions: 3 1/4, 3 1/3, 3 1/2, and 3 1/6
Step-by-step explanation:
Calculate the driver's average speed The driver focled his car before departing from Jeffreys Bay His tank's capacity is 28litres. Calculate how much he will pay for fuel if he fills up half of its capacity, and the price of fuel was R17.98 per intre
Answer:
Step-by-step explanation:
I'm sorry, but I cannot accurately calculate the driver's average speed without additional information such as the distance traveled and the time taken.
However, I can help you calculate the cost of fuel if the driver fills up half of the tank's capacity:
Half of the tank's capacity is 28/2 = 14 litres.
The cost of fuel per litre is R17.98.
Therefore, the cost of filling up half the tank is 14 x R17.98 = R251.72.
So, if the price of fuel is R17.98 per litre and the driver fills up half the tank, they will pay R251.72 for fuel.
I will mark you brainiest!
All the names for the polygon are correct EXCEPT for :
A) ABCDEFG
B) DEFGABC
C) GDFEABC
D) EDCBAGF
All the names for the polygon are correct except for: C) GDFEABC.
What is a polygon?In Mathematics, a polygon can be defined as a two-dimensional geometric figure that consists of straight line segments and finite number of sides. Additionally, some examples of a polygon include the following:
TriangleQuadrilateralPentagonHexagonHeptagonOctagonNonagonDecagonGenerally speaking, the vertices of a regular polygon should be named in consecutive order either clockwise or anticlockwise (counterclockwise).
In conclusion, GDFEABC is an incorrect name for the given regular polygon.
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The three sides of a triangular fence have lengths 4x + 5, y − 7, and 3x − 2. What is the total perimeter?
A) 7x + y + 10 feet
B) 7x + y − 4 feet
C) 7x + y feet
D) 4x + y − 4 feet
The correct option is (b) i.e. the total perimeter of the fence is 7x + y − 4 feet.
What is Perimeter?
Perimeter is the total length of the boundary or outer edge of a two-dimensional shape, such as a polygon, circle, or ellipse. It is the sum of the lengths of all the sides or arcs that make up the shape. For example, the perimeter of a square is the sum of the lengths of all its sides, while the perimeter of a circle is the circumference, which is the distance around the circle. The perimeter is often measured in units such as centimeters, meters, or feet, depending on the context of the problem.
Given : sides of the fence
s₁ = 4x + 5
s₂ = y − 7
s₃ = 3x − 2
We know that, perimeter of a triangle is sum of all three sides.
So, Perimeter of the fence = s₁+ s₂+ s₃
= 4x + 5 + y − 7 + 3x − 2
= 7x + y - 4 ft.
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find the scale factor of the smaller figure to the larger figure
Therefore, the scale factor of the smaller polygon to the larger polygon is 2. Therefore, the scale factor of the smaller triangle to the larger triangle is 6.
What is scale factor?Scale factor refers to the ratio of any two corresponding lengths in two similar geometric figures. In other words, it is the ratio of the size of an object in one image or figure to the size of the same object in another image or figure, assuming that the two images or figures are proportional to each other. The scale factor can be used to determine the relationship between the sizes of the objects in the two figures or images.
Here,
1. The scale factor from the smaller polygon to the larger polygon is found by dividing the length of the larger polygon by the length of the smaller polygon:
scale factor = length of larger polygon / length of smaller polygon
scale factor = 14 / 7
= 2
2. The scale factor from the smaller triangle to the larger triangle is found by dividing the length of the larger triangle by the length of the smaller triangle:
scale factor = length of larger triangle / length of smaller triangle
scale factor = 24 / 4
= 6
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Jeriel is driving to a concert and needs to pay for parking. There is an automatic fee of $8 just to enter the parking lot, and when he leaves the lot, he will have to pay an additional $3 for every hour he had his car in the lot. How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours? How much would Jeriel have to pay if he left his car in the lot for
t
t hours?
Answer:
Jeriel would have to pay $17
Step-by-step explanation:
t= hours
$3 per t hour +$8 fee
t=3
3(3)+8= $17
How much would Jeriel have to pay if he left his car in the lot for t hours:
3t+8
How much total money would Jeriel have to pay for parking if he left his car in the lot for 3 hours?
$17
Find the area of the shaded sector. Round your answer to the nearest hundredth
Answer:
(a) 65.85 km²
Step-by-step explanation:
You want the area of a sector with radius 7 km and central angle 154°.
AreaThe formula for the area of a sector is ...
A = 1/2r²θ . . . . where r is the radius and θ is the central angle in radians
ApplicationA = 1/2(7 km)²(154·π/180) ≈ 65.85 km²
The area of the shaded sector is about 65.85 square km.
__
Additional comment
The last two answer choices can be eliminated because their units are distance units, not area units.
The area of the circle is πr², about 154 km². The shaded part is less than half, but somewhat more than 1/7, so will be less than 77 and more than 22 km². For this problem, a rough estimate of the area can tell you which is the reasonable answer choice.
Which expression is equivalent to x + 8 + 4x + 2x for all values of x?
The expression which is equivalent to the given expression for all values of x is; 7x + 8.
Which expression accurately represents the equivalent of x + 8 + 4x + 2x?As evident from the task content; the given expression whose equivalent is required to be determined is; x + 8 + 4x + 2x.
Therefore, by collecting like terms; we have that;
x + 4x + 2x + 8
By adding like terms; we have;
7x + 8.
Ultimately, the expression which is equivalent to the given expression is; 7x + 8.
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You bet on one spin of American roulette, which has spaces 0, 00, 1 through 36. Remember that 0 and 00 are not "low". Give the probability of the following event as an unsimplified fraction.
The ball lands on a number that is less than six
The probability of the ball landing on a number that is less than six is:
5/38.
What does the name probability mean?The word "probability" derives from the Latin word "probitatem," which means "credibility, probability," from the noun probabilis in the 14th century (see probable). The phrase was first used in a mathematical meaning in 1718.
American roulette has five numbers that are less than six, namely 1, 2, 3, 4, and 5.
The odds of the ball landing on a number less than six are 5 to 1 out of a total of 38 outcomes (the 36 digits plus 0 and 00).
Hence, the likelihood that the ball will land on a number smaller than six is:
5/38.
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An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times the commercial is run on TV in each city and the number of car sales (in hundreds). Find the linear regression line for the data given in the table. Round any intermediate calculations to no less than six decimal places, and round the coefficients to two decimal places.
Y=
The linear regression line is: Y = 0.51X - 14.05
What is the number?A number is a mathematical object used to count, measure, and label. It is a fundamental concept in mathematics and is used in nearly every branch of the discipline. In everyday life, the notion of numbers is used to count objects, keep track of scores, measure amounts, and label objects.
City TV Commercials Car Sales
A 60 20
B 50 15
C 70 25
D 45 17
E 55 19
Calculating the linear regression line:
m = Slope = (NΣXY - (ΣX)(ΣY)) / (NΣX2 - (ΣX)2)
= (5(1475) - (325)(95)) / (5(5850) - (325)2)
= (7375 - 30875) / (29250 - 105625)
= -38500 / -75375
= 0.51
b = Intercept = (ΣY - m(ΣX)) / N
= (95 - 0.51(325)) / 5
= (95 - 165.25) / 5
= -70.25 / 5
= -14.05
Therefore, the linear regression line is:
Y = 0.51X - 14.05.
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complete question:
An automobile company is running a new television commercial in five cities with approximately the same population. The following table shows the number of times
the commercials run on TV each day and the number of car sales in the hundreds. Finds the linear regression line for the data gen in the table Round any intermediate
calculations to no less than a decimal place, and round the coefficients to two decimal places.
The surface area of a cylinder is given by the formula SA = 2r^{2} + 2rh , where r is the radius and h is the height.
12. Factor a monomial (the GCF) from the formula
13. Suppose the radius of the cylinder is y and the height is y+2. Rewrite the formula in this case, using multiplication and exponent rules as needed to simplify the expression.
14. Factor the expression from Item 13 completely.
please help ill give brainliest to whoever answers it plsplspls
Answer:
Step-by-step explanation:
SA=2r^{2}+2rh=175.84
Pre-Algebra Grade 8: Unit 1 Lesson 8 Plane Art (Alternative Portfolio) (Connections)Has anyone done this assignment? Just wanting to get some pointers to get started.
Plane Art include squares, rectangles, triangles, circles, pentagοns, οctοgen, hexagοns, οvals etc. A grοuping οf shapes is called pοlygοns, like squares and rectangles, but circles and οvals are nοt pοlygοns.
What is a plane?A plane is a twο-dimensiοnal surface measured by twο linearly independent pοints; a plane dοesn't have an οbviοus directiοn and can extend indefinitely. In algebra, the pοints are plοtted in the cοοrdinate plane which has a number line extending left tο right and upwards and dοwnwards endlessly and infinitely.
What is Plane Figures and Shapes?In cοntrast tο sοlid shapes, a clοsed twο-dimensiοnal οr flat surface figure is knοwn as a plane shape. Instead οf edges and faces, they pοssess several light lines that make a cοrner οr a vertex where the twο straight lines meet. Sοme basic plane shapes are triangles, squares, rectangles, circles and οvals.
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Complete question:
Pre-Algebra Grade 8: Unit 1 Lesson 8
What is Plane Art?
(Alternative Portfolio)
(Connections)
Help 100 points plus brainiest
Answer: 3/2, 2/3, 1/3
Step-by-step explanation:
A ladder 25 feet long is leaning againstthe wall of a house. The base of the ladder ispulled away from the wall at a rate of 2 feet per second
(a) How fast is the top of the ladder moving down the wallwhen its base is 7 feet, 15 feet, and 24 feet from the wall?(b) Consider the triangle formed by the side of the house, theladder, and the ground. Find the rate at which the areaof the triangle is changing when the base of the ladder is7 feet from the wall.(c) Find the rate at which the angle between the ladder and thewall of the house is changing when the base of the ladderis 24 feet from the wall
Answer:
The base of the ladder is pulled away from the wall at a rate of 2 feet/sec. b) Consider the triangle formed by the side of the house, the ladder,and the ground
Step-by-step explanation:
What’s the least positive multiple of 199?
The least positive multiple of 199 is still 199
How to find the least positive multiple of 199To find the least positive multiple of 199, we can start by multiplying 199 by 1, 2, 3, and so on until we find a multiple that is a positive integer.
199 x 1 = 199
199 x 2 = 398
199 x 3 = 597
199 x 4 = 796
Notice that the product of 199 and any positive integer greater than 1 will have at least three digits. Therefore, the least positive multiple of 199 is 199 itself.
Therefore, the least positive multiple of 199 is 199.
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Please Help 30 points!
Answer:
p=10m.
Step-by-step explanation:
For every painting Sydney sells, $10 is saved.
Tabi's credit card bill is $283.93. This includes her charges and interest. If the new charges are $213.95 more than the interest, find the amount in charges and the amount in interest.
Tabi's bill includes $248.94 in charges and $34.99 in interest.
Let x be the amount of interest that Tabi was charged, in dollars.
According to the problem, the new charges are $213.95 more than the interest, so the amount of new charges is x + $213.95.
The total bill, which includes the charges and interest, is $283.93.
Therefore, we can write an equation:
x + (x + $213.95) = $283.93
Simplifying and solving for x, we get:
2x + $213.95 = $283.93
2x = $69.98
x = $34.99
So the amount of interest charged is $34.99.
To find the amount of charges, we can use the equation for new charges:
x + $213.95 = $34.99 + $213.95 = $248.94
So the amount of charges is $248.94.
Therefore, Tabi's bill includes $248.94 in charges and $34.99 in interest.
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If you roll a standard number cube 48 times, how many times do you expect the cube to show a two?
We expect the cube to show a two 8 times out of 48 rolls.
Six faces, numbered from 1 to 6, make up a typical number cube. When the cube is rolled, there is an equal chance that every face will show up. As a result, there is a 1/6 chance that the cube will roll a two on any given roll.
We can use the calculation for the anticipated value of a discrete random variable to get the expected number of times the cube will reveal a two in 48 rolls:
E(X) = np
where n is the number of trials (in this example, 48 rolls), p is the probability of success on each trial (in this case, 1/6), and X is the random variable (in this case, the number of times the cube reveals a two).
When we change the values, we obtain:
E(X) = 48 * (1/6) = 8
Hence, we anticipate that the cube will display a two 8 times out of every 48 rolls.
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If the graph below is in meters, find the area of the shaded figure.
The area of the shaded part is 20m²
What is area?The space enclosed by the boundary of a plane figure is called its area. The area of a rectangle is length × width It is measured in square units like cm² and m².
To find the area of the square, we need to find the side length.
The side length is found by using Pythagoras theorem
each box is 1m, then 4 boxes is 4m and 2 boxes is 2m
therefore;
l= √ 4²+2²
l = √ 16+4
l = √20 = 2√5
area a square is l²
A = (2√5)²
A = 4× 5
A = 20m²
therefore the area of the shaded part is 20m²
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If these two shapes are similar, what is the measure of the missing length d?
36 m
meters
Submit
48 m
32 m
Answer:
Step-by-step explanation:
If the shapes are similar - then their lengths are proportional.
You can make a ratio and solve for the missing variable.
You must match the corresponding sides.
[tex]\frac{32}{48}[/tex] = [tex]\frac{d}{36}[/tex]
Cross mulitiply the "diagonal values" and divide by the value
diagonal from the variable.
32 × 36 = 48d
1152 = 48d
1152/48 = 48d/48
24 = d
The seats available to a baseball game come in four types: bleacher, box, club, and grandstand. There are 12,600 box seats and 5,400 club seats available. According to the graph, what is the total number of seats available?
The total number of seats available for the baseball game can be calculated by adding the number of box and club seats available whch is found to be 25,200.
What is the game of baseball?The game of baseball can be used to teach various mathematical concepts, such as probability, statistics, graphing, estimation, and basic arithmetic. The game can also be used to introduce concepts such as geometry and trigonometry, as well as to build problem-solving skills.
The total number of seats available can be calculated by adding the number of box and club seats available, which is
12,600 + 5400 = 18,000.
This total can then be multiplied by the respective percentages of the other two categories to get the total number of seats available.
For instance, the total number of bleacher seats available can be calculated by multiplying 12,000 by 18%.
12,000 x 0.18 = 2,160
Similarly, the total number of grandstand seats available can be calculated by multiplying 12,000 by 42%.
12,000 x 0.42 = 5,040
Hence, the total number of seats available for the baseball game is
18,000 + 2,160 + 5,040 = 25,200.
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Marlo wants to draw isosceles right triangle on a coordinate plane that have two vertices at (-3,6) and (2,6) if the coordinates of the third vertex are both integers, how many different isosceles right triangle can he draw?
HELP ME PLS
Marlo can draw two different isosceles right triangles and third vertices are (-0.5, 5) and (-0.5, 7)
Define the term isosceles triangle?An isosceles triangle is a type of triangle in which two sides of the triangle have the same length.
Since the triangle is isosceles, its third vertex must lie on the line that is perpendicular to the line passing through the two given vertices and passes through the midpoint of that line.
The midpoint of the two points (-3,6) and (2,6) connecting the line segment is
((-3+2)/2, (6+6)/2) = (-0.5, 6)
The line passing through (-3,6) and (2,6) has equation y = 6. The line perpendicular to it passing through (-0.5,6) has equation x = -0.5.
Therefore, the third vertex of the isosceles right triangle must have coordinates (-0.5, y), where y is an integer.
To find how many different isosceles right triangles can be drawn, we need to find how many different integer values of y satisfy the condition that the distance between (-3, 6) and (-0.5, y) is the same as the distance between (2, 6) and (-0.5, y).
We know that the distance formula, So,
[tex]\sqrt{((2 - (-0.5))^2 + (6 - y)^2)}[/tex] = [tex]\sqrt{((-3 - (-0.5))^2 + (6 - y)^2)}[/tex]
Simplifying this equation gives:
(2.5)² = (3.5)²
y = 6 ± 1
Therefore, there are two possible values of y, 5 and 7, which correspond to the two possible third vertices of the isosceles right triangle: (-0.5, 5) and (-0.5, 7). So, Marlo can draw two different isosceles right triangles with two vertices at (-3, 6) and (2, 6) such that the coordinates of the third vertex are both integers.
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Ms. Jan brought in cookies for her class. She gave put half of them in the morning. At lunch, she gave out 12 more. She then had 10 cookies left. How many cookies did she bring in?
Answer:
[tex]x=44[/tex]
Step-by-step explanation:
lets say X is the cookies Ms. Jans Brought to her class
first she put half of then in the morning (that is [tex]x/2[/tex] of her cookies)
then she gave out 12 more. That is 12 less cookies.
the total cookies left is the total amount minus the half, minus the 12 cookies:
[tex]x-x/2-12=10[/tex]
From this equation we can solve for X
[tex]x/2=10+12[/tex]
[tex]x=2(22)\\[/tex]
[tex]x=44[/tex]
Just for check, if she brought 44 cookies, and put 22 (half of then), she still have 22 cookies, then she 12 more, then only 10 are left. So 44 is the answer.