The scientific notation of the given number is 6.11×10⁻⁴. Therefore, option E is the correct answer.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as 1.56×10⁷.
The given decimal number is 0.000611.
0.000611 in scientific notation, we get
6.11×10⁻⁴
Therefore, option E is the correct answer.
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What is the area of this
Answer:
Step-by-step explanation:
The triangle on the right side fits into the missing part of the left side.
So what I did is (5+4) and times 10 = 90m.
P.s:If I'm wrong I'm sorry.
Step-by-step explanation:
well, it is a rectangle, where an isoceles right-angled triangle is cut off in the top left corner, but that triangle is added to the top right corner.
so, the area is the same as the regular rectangle.
we know, the area of a rectangle is
length × width
now, we know the length for sure (10 m).
what is the width ?
we know the part of the width until the triangle is 5 m.
and we know the leg length of the triangle is 4 m.
the width is simply the sum of the basic part and the leg length
5 + 4 = 9 m
so the area of all this is
10 × 9 = 90 m²
Part G What is the ratio of the radius of circle A to the radius of circle B?
Course Activity: Proving That All Circles Are Similar
Edmentun Geometry
The ratio of the radius of Circle A to the radius of Circle B is given as follows:
0.6.
What is the radius of a circle?The radius of a circle represents the distance between the circle of the center to any point on the circumference of the circle.
From the circles given on the image presented at the end of the answer, the radius of each circle is given as follows:
Circle A: rA = 3.Circle B: rB = 5.Hence the ratio of the radius of circle A to the radius of circle B is calculated as follows:
rA/rB
Replacing the numeric values for each radius, the ratio is calculated as follows:
3/5 = 0.6.
Missing InformationThe circles are given by the image presented at the end of the answer.
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A person takes up 20 inches of space on a stadium bleacher. If one row of bleachers is 100 feet long and
there are 25 rows of bleachers, how many people can fit into the stands?
Answer:
Generally, figure the average person takes up 18 inches of space on a bleacher seat. That is the industry standard. Therefore, for 4-row bleachers, consider these lengths and seating capacity. 7.5 feet – 20 seats (90 inches divided by 18 inches equals 5 seats, times 4 rows equals 20 seats).
Step-by-step explanation:
pls help me in this questions pleeeaasee
parm=parallelogram
The diagram of AOCG is given in the attached image.
AOCG is a rectangle.
What is rectangular shape?A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle.
Given:
AOCG is a parallelogram.
And GC = GA = 5 centimeters.
The opposite sides of the parallelogram are equal and parallel.
So,
AO = OC = 5 centimeters.
And ∠CGA = 90°.
The diagram of AOCG is given in the attached image.
All the parallel sides are equal to one another.
And ∠CGA = 90°.
So, AOCG is a rectangle.
Therefore, AOCG is a rectangle and the image is given
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The equations x + 5 y = 10, 3 x minus y = 1, x minus 5 y = 10, and 3 x + y = 1 are shown on the graph below.
On a coordinate plane, there are 4 lines. Green line goes through (0, negative 1) and (1, 2). Blue line goes through (0, 1) and (1, negative 2). Pink line goes through (0, 2), and (2, 1.5). Orange line goes through (negative 2, negative 2.5) and (2, negative 1.5).
Which is the approximate solution for the system of equations x + 5 y = 10 and 3 x + y = 1?
(–0.3, 2.1)
(–0.3, –2.1)
(0.9, –1.8)
(0.9, 1.8)
They intersect in the 2nd quadrant. Only one answer choice (–0.3, 2.1)
What is y-intercepts?
Horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system.
The graph shows you the lines all differ in their y-intercepts. This means you can identify the y-intercepts of the equations of interest, and you will know which lines to look at.
The y-intercept is found by setting x=0 and solving for y:
x +5y = 10
0 + 5y = 10
y = 10/5 = 2
3x +y = 1
3·0 +y = 1
y = 1
The two lines of interest are the ones that have y-intercepts of 2 (pink) and 1 (blue). They intersect in the 2nd quadrant. Only one answer choice can apply: (–0.3, 2.1)
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The floor of a round hut has a diameter of 4 yards. What is the floor's area?
Answer:
A = 12.5663706 yd2
Step-by-step explanation:
If the exchange rate is 1 U.S. dollar to 81 Japanese yen, how many yen would you spend to purchase something that costs 50 dollars?
If the exchange rate is 1 U.S. dollar to 81 Japanese yen, to purchase something that costs 50 dollars, you would have to spend 50 x 81 = 4050 Japanese yen.
Answer: You would have to spend 4050 yen to buy something that costs 50 dollars.
Step-by-step explanation: Since we already know the amount of yen that's equal to a dollar, all we have to do is multiply that number by the amount of dollars being spent.
This gives us: 81 * 50 = 4050. You would have to spend 4050 yen to buy something that costs 50 dollars.
help me with this one
Answer:
Angle A is 66°
Step-by-step explanation:
< b is equal to 57 because the opposite side lengths are equal.
The sum of the interior angles of a triangle is 180
180 - 57 - 57 = 66
I.
Encircle the number(s) that is (are) not in the domain of the given
rational algebraic expression.
-1/4x
-3
-1
0
4
Answer:
see explanation
Step-by-step explanation:
the denominator of a rational expression cannot be zero as this would make the expression undefined.
equating the denominator to zero and solving gives the value/s that x cannot be.
1
4x = 0 ⇒ x = 0
x = 0 ← is an excluded value in the domain
2
8x + 3 = 0
8x = - 3
x = - [tex]\frac{3}{8}[/tex]
x = - [tex]\frac{3}{8}[/tex] ← is an excluded value in the domain
3
2 - 10x = 0
- 10x = - 2
x = [tex]\frac{-2}{-10}[/tex] = [tex]\frac{1}{5}[/tex]
x = [tex]\frac{1}{5}[/tex] ← is an excluded value in the domain
4
x + 12 = 0
x = - 12
x = - 12 ← is an excluded value in the domain
5
(2x - 1)(x + 6) = 0
equate each factor to zero and solve for x
2x - 1 = 0
2x = 1
x = [tex]\frac{1}{2}[/tex]
x + 6 = 0
x = - 6
x = - 6 and x = [tex]\frac{1}{2}[/tex] ← are excluded values in the domain
You will be writing a short essay on how you can apply the processes you have learned in this unit to solve one of those questions.
Option 1: Solving by Factoring
Please explain in detail the strategy, Solving by Factoring, discussed in the lesson Quadratic in Form Polynomials. Include an example with this explanation to clearly explain the process.
Answer:
Step-by-step explanation:
Solving by factoring is a strategy used to solve quadratic in form polynomials, which are equations that can be written in the form of ax^2 + bx + c = 0. The goal of this strategy is to factor the equation into two binomials that are equal to zero. Once the equation is factored, we can use the zero product property to set each binomial equal to zero and solve for the roots or solutions of the equation.
The process of factoring begins by finding the greatest common factor of all the terms in the equation. Once the GCF is identified, it can be factored out of the equation. Next, we look for two binomials that multiply to give the remaining terms in the equation and add to give the remaining constant term.
For example, consider the equation: 3x^2 + 6x - 9 = 0.
To factor this equation, we first find the GCF of all the terms, which is 3. We can factor out 3 from all the terms, giving us: 3(x^2 + 2x - 3) = 0.
Now, we look for two binomials that multiply to give x^2 + 2x - 3 and add to give -2. We can see that (x-3)(x+1) satisfies this condition.
By factoring the equation, we have now factored the polynomial into (x-3)(x+1) = 0. We can use the zero product property to set each binomial equal to zero and solve for the roots: x-3 = 0 and x+1 = 0. The solutions are x=3 and x=-1.
By using the factoring strategy, we were able to solve the quadratic in form polynomial 3x^2 + 6x - 9 = 0 and find the roots x=3 and x=-1. This strategy can be applied to any quadratic in form polynomial and is a useful tool in solving equations.
The perimeter of an isosceles triangle is 32.7 inches. The length of its base is 9.5 inches. Find the length of each of the other two identical sides.
Answer:
1.72 inches
Step-by-step explanation:
= P=2s×b
= 32.7=2s×9.5
= 32.7=19s
= 32.7/19=19s/19
= s=1.72
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it.
The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.
What is a polygon?The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.
Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.
The given statement is true.
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(2x^2+5)-(4x-1) why isnt it complete
Answer:
Step-by-step explanation:
Do you mean "isn't complete or not in final form?"
If it does, it is because the equation is not yet simplified. You can still change its structure by distributing the negative sign to the right parenthsis to make it a whole polynomial.
[tex](2x^{2} + 5) - (4x-1)\\2x^{2} + 5 - 4x + 1\\2x^{2} - 4x + 6\\[/tex]or
[tex]2 (x^{2} - 2x + 3)[/tex]
4. Solve the triangle using either Law of Cosines or Law of Sines. In △DEF, f=25, e=8
and m∠F=131°.
Round your final answer to the nearest tenth. **
Angle D= Angle E= Angle d=
Answer:
Step-by-step explanation:
Using the Law of Cosines, we can find the remaining angle measures of the triangle.
Angle D = cos-1[(25^2 - 8^2 - (25^2 * cos(131°)))/(-2*8*25)] = 20.5°
Angle E = cos-1[(8^2 - 25^2 - (8^2 * cos(131°)))/(-2*25*8)] = 61.4°
Angle F = 180° - (20.5° + 61.4°) = 98.1°
Round to the nearest tenth:
Angle D = 20.5°
Angle E = 61.4°
Angle F = 98.1°
-9a-2(9a-5) need help
Answer: -81a^2 + 27a + 10
Step-by-step explanation: We can do this question by using FOIL (first, outer, inner, last)
(-9a-2)(9a-5)
First, multiply the first two terms in the parentheses
-9a times 9a is -81a^2
Second, multiply the outer terms
-9a times -5 is 45a
Third, multiply the inner terms
-2 times 9a is -18a
And lastly, multiply the last terms
-2 times -5 is 10
After doing this we end up with -81a^2 + 45a - 18a + 10 = -81a^2 + 27a + 10
Date:
1.Ayacka and Erica sells newspapers on weekends to earn extra money for every 9 newspapers,how many did Erica sells
The cost of the 20 papers will be $200.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Ayacka and Erica sells newspapers on weekends to earn extra money for every 9 newspapers the cost is $90, Erica sells 20 newspapers.
The cost of 20 news papers will be calculated as,
Cost = ( 90 x 20 ) / 9
Cost = $200
The complete question is given below.
Ayacka and Erica sells newspapers on weekends to earn extra money for every 9 newspapers the cost is $90, Erica sells 20 newspapers. What is the cost?
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EXTRA 30 POINTS IF U GET THEM RIGHT!!!!!!!!!!!!!1
1. What is the surface area of a rectangular prism with dimensions 15.5 inches by 6 inches by 4 inches?
2. The list represents the ages of students in a gymnastics class.
10, 10, 11, 12, 12, 13, 13, 14, 14, 15
If another student of age 15 joins the class, how is the mean affected?
3.What is the distance from (−5, −19) to (−5, 32)?
4.What is the perimeter, in centimeters, of a rectangle with vertices located at (−20, 14), (4, 14), (−20, −5), and (4, −5)?
5.What is the area of a right triangle with a base of 7 feet and a height of 16 feet?
6.A swimming pool in the shape of a rectangular prism has dimensions of 17.5 feet by 13 feet by 6 feet. What is the maximum amount of water that the pool can hold?
Answer:
what is this i do not know sorry so no 30 points right
Looking for the answer of a to the power of 3 - B to the power of 3
The expression a³ - b³ is not a feasible mathematical operation.
What are index forms?The index form of a number is described as that number that is written in the form of an exponential expression, or single number having another number or variable as its power.
It is a mathematical method of writing numbers that are too large or too small in a more convenient form.
Other names for index forms are standard forms and scientific notation.
Some of the rules for the addition, subtraction or multiplication of index forms are;
In multiplying index forms, the bases must be the same for you to add the powers. In dividing index forms, the bases must be the same for subtraction of the exponential valuesIn the presence of brackets, multiply the powersFrom the information given, we have that;
a³ - b³
From the rules given, this is not mathematically feasible as the bases are not similar.
Hence, the expression is non-feasible
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What is the equation for the translation of x2 + y2 = 64 three units to the left and two units down?
(x − 3)2 + (y − 2)2 = 64
(x + 3)2 + (y + 2)2 = 64
(x + 3)2 + (y − 2)2 = 64
(x − 3)2 + (y + 2)2 = 64
Answer: The equation for the translation of x2 + y2 = 64 three units to the left and two units down is:
(x − 3)2 + (y − 2)2 = 64
Step-by-step explanation:
This is known as the standard equation of a circle centered at (3, 2) with a radius of 8.
When translating a shape, we need to change the center point of the shape. If we want to translate 3 units to the left and 2 units down, it means that we need to change the center point of the shape from the origin to (3, 2). This can be achieved by subtracting 3 from x and subtracting 2 from y in the equation of the circle. This results in (x - 3)2 + (y - 2)2 = 64, which is the equation for the translated circle.
Answer: (x - 3)^2 + (y - 2)^2 = 64.
Step-by-step explanation:
This is because to translate a point or a function in the x-axis by a certain value we need to add or subtract the value from the x variable. To translate in the y-axis we need to add or subtract the value from the y variable. In this case, we are translating it three units to the left, so we subtract 3 from x, and two units down so we subtract 2 from y.
Dalton has $3.05 in dimes and quarters. He has 13 more dimes than quarters. How many quarters does he have?
The number of quarters Dalton has is 5.
How to find the number of quarters?Dalton has $3.05 in dimes and quarters. He has 13 more dimes than quarters. Therefore, the number of quarters he has can be calculated as follows:
Hence, using system of equation,
Therefore,
let
x = number of quarters
y = number of dimes
y = x + 13
0.25x + 0.1y = 3.05
using substitution method,
0.25x + 0.1(x + 13) = 3.05
0.25x + 0.1x + 1.3 = 3.05
0.35x = 3.05 - 1.3
0.35x = 1.75
x = 1.75 / 0.35
x = 5
Therefore,
number of quarters = 5
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carlos plays the game for 25 minutes use the equation of the line of fit to predict his score
Answer:
145
Step-by-step explanation:
We have the equation 5x+20 for the line of best fit
Let x = 25
y = 5*25+20
= 125 + 20
= 145
The score should be 145 when he plays for 25 minutes
How do you subtract fl oz from liters?
Answer:
Step-by-step explanation:
Convert a liter or liters what how ever many the question says to fl oz. 1 liter= 33.814, so if you need to minus 2 cups then just minus 16 fl oz, from 33.814, or the given amount in the question.
Answer:
Step-by-step explanation:
1. convert fl oz to liters using a conversion factor
2. 1 liter = 33.814 fl oz approx
3. you must divide the # of fl oz by 33.814
4. For example, if you wanted to subtract 20 fl oz from 3 liters, you would first convert the 20 fl oz to liters: 20 fl oz/33.814 = 2.406
5. Then you would subtract the converted fl oz from the liters: 3 liters-0.594 liters= 2.406 liters
20 fl oz = 0.594 liters, and 3 liters minus 0.594 liters equals 2.406 liters
Hope this helps!
What is the value of y that makes T Parallel to U
Answer: y = 18
Sentence: The value of y that makes T Parallel to U is 18.
Step-by-step explanation:
We are given 3 expressions:
(7x)(6y + 9)(3x + 36)We know that since the angle (7x) is on the same line as the angle (3x + 36), we can therefore determine that they correspond to each other. I referred an image to help demonstrate this concept. So since they correspond to each other, that means they have the same value (meaning they are equal to each other).
We can set both expressions equal to each other.
7x = 3x + 36
And solve:
7x = 3x + 36
-3x -3x
4x = 36
/4 /4
x = 9
now we know the value of x, we can plug it into one of the equations. We can plug it in to 3x + 36 to help with the process in solving y.
3(9) + 36 = 63 degrees
Since 6y + 9 and 3x + 36 (63 degrees) are supplementary angles, we can subtract 180 from 63.
180 - 63 = 117
now we know that 117 degrees = 6y + 9 BUT!, we need to solve for y, because that's what the question is asking for.
So lets solve for y:
117 = 6y + 9
-9 -9
108 = 6y
/6 /6
y = 18
pls help immediately i need in 15 minutes
Answer:
23.75483
Step-by-step explanation:
I used a calculator lol
6⁵×6*=6¹ jdkdjdjbddjdbdjbdbsbsksns
Answer:
-4
Step-by-step explanation:
[tex] 6^5 \times 6^n = 6^1 [/tex]
When you multiply powers with the same bases, add the exponents.
[tex] 6^{5 + n} = 6^1 [/tex]
[tex] 5 + n = 1 [/tex]
[tex] n = -4 [/tex]
Answer: -4
Tom makes $ in 281.10 days. How much does he make in 5 days?
Tom earns $100 in 5 days if he makes $5622 in 281.10 day, in the given arithmetic problem.
What is arithmetic?A branch of mathematics that deals with the properties of numbers is known as arithmetic, which uses the four operations. A branch of mathematics that deals with the properties of numbers is known as arithmetic, which uses the four operations.
The four operations are addition, subtraction, multiplication, and division. The guidelines for each procedure are very specific.
One of the fundamental principles of addition and subtraction is that while addition increases a number's overall value, subtraction decreases it.
Given that he earn $5622 in 281.10 day
In 1 day he earns = 5622/281.10
= $20
So in 5 days he earns = 5 × $20
= $100
Thus, Tom earn $100 in 5 days if he makes $5622 in 281.10 day, in the given arithmetic problem.
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Full question:
Tom makes $5622 in 281.10 days. How much does he make in 5 days?
NO LINKS!!!
Please help me with these Venn Diagram circles
Figures with more than 3 sides but with no pairs of parallel sides:
Kite,Pentagon,HeptagonIntersectionFigures with more than 3 sides and with one or more pairs of parallel sides, almost all even sided polygons:
Square,Parallelogram,Rhombus,Trapezoid,Rectangle,Hexagon,OctagonCircle 2Figures with one or more pairs of parallel sides:
Empty, all included into intersection regionProblem 2Circle 1Figures with less than 4 sides:
Scalene triangleIntersectionFigures with less than 4 sides and with at least two sides of equal length:
Equilateral triangle,Isosceles triangleCircle 2Figures with at least two sides of equal length:
Square,Rectangle,Rhombus,Kite,Isosceles trapezoid,Pentagon,Hexagon,Heptagon,OctagonProblem 3Circle 1Figures with at least one curved side:
CircleIntersectionFigures with at least one curved side and with at least one obtuse angle:
Empty, not considering combination of shapesCircle 2Figures with at least one obtuse angle (polygons with more than 4 sides will have obtuse angles)
Trapezoid,Rhombus,Kite,Parallelogram,Pentagon,Hexagon,Heptagon,OctagonA study done at a polling organization Randomly surveyed 1031 adults by phone. The poll found that 42% of the respondents said they spend less than three hours a day watching TV. Based on this finding calculate to 2 decimals places the ((% confidence interval for the proportion of US adults who spend less than three hours watching TV on an average day.
Answer: To calculate the % confidence interval for the proportion of US adults who spend less than three hours watching TV on an average day, we can use the following formula:
p +/- z*(sqrt(p(1-p)/n))
Where:
p = proportion of US adults who spend less than three hours watching TV on an average day (0.42)
z = standard normal score for a given level of confidence (e.g. for a 95% confidence level, z = 1.96)
n = sample size (1031)
Plugging in the given values, we get:
0.42 +/- 1.96*(sqrt(0.42*(1-0.42)/1031))
Simplifying, we get:
0.42 +/- 0.0156
So the 95% confidence interval for the proportion of US adults who spend less than three hours watching TV on an average day is approximately (0.40,0.44)
So the answer is (0.40,0.44)
Step-by-step explanation:
find answers to 13, 15, and 16 (will mark brainliest)
Kanta read 2/3 of her chemistry book containing 420 pages Krishna read 3/49f the same who read more pages and by how many pages
Answer:255
Step-by-step explanation: