Write the equation of the given circle.
center at origin, r=3
Answer:
The standard form is: (x−h)2+(y−k)2=r2where (h,k) is the center and r is the radius.Your center is at (0,0) and the radius, r=3(x−0)2+(y−0)2=32
Step-by-step explanation:
is |-10| greater than
|6|?
Answer:
Yes
Step-by-step explanation:
The value of |-10| is,
→ |-10| = 10
The value of |6| is,
→ |6| = 6
Now the greater value is,
→ 10 > 6
→ |-10| > |6|
Yeah, |-10| greater than |6|.
Answer:
No, it's not
Step-by-step explanation:
Hope it helps you
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Simplify. 9 + 18 ÷ 3
With explanation please! ASAP
verbal expression for 7 to the third power
The answer is " 7 to the power 3rd ".
We translate the algebraic expression 7³ into a verbal expression. The given expression has a base number of 7 raised to the power of 3 . This means is that 7 is multiplied by itself 3 times. So we should write " 7 to the power 3rd "
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W/3+8=20 what is W ???
please help fast
Write a declaration for a variable hits that can hold the number of times a baseball player has hit the ball in a baseball game.
A declaration of a hits variable that can store how many times a baseball player has hit the ball during a game of baseball int hits;
How do you declare a variable value?
A programme declares a variable whenever it states that it requires one. Place declaration statements for our brief programmes in-between the main method's two curly braces. The variable's name and data type are provided in the declaration. It could also provide a specific value that has to be entered into the variable.
When a variable is given a value for the first time, it is said to be initialized. The symbol = stands in for the assignment operator. Instead of writing int I and then 9, you can establish a variable for addition and then give it a value in the same line by writing int I = 9.
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What is the remainder when 17^77 is divided by 35?
The remainder when 17^(77) is divided by 35 is 12
How can the remainder of dividing a large number be found?The number being divided = 17^(77)
The number by which 17^(77) is divided = 35
Using a graphing calculator as follows, we have;
Enter the value 17^(77) in the calculatorEnter the value 35 in the calculatorPress the divide by '÷' buttonUse the 'Display as proper fraction' button on the calculator, to display the result as proper fraction, [tex] a \frac{b}{c} [/tex]Use the left arrow button to move to the fraction part of the result displayed as proper fraction The remainder is the numerator of the fraction part of the proper fraction, which is 12[tex] \frac{17^{77}}{35} = V+ \frac{12}{35} [/tex]
Where V is a very large number quotient
From the above fraction, we have;
17⁷⁷ ÷ 35 = V + 12/35Expressing the above result using long division gives;
__V___ (Quotient)
35 (17⁷⁷)
____
12 (Remainder)
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Solve the equation below for y:
6x – 3y = 36
A. y = 2x − 12
B. y = 12 - 2x
C. y = 1/2x + 6
D. y = 6 - 1/2x
tyy<3
the distribution of iq (intelligence quotient) is approximately normal in shape with a mean of 100 and a standard deviation of 15.according to the standard deviation rule, % of people have an iq between 55 and 145. do not round.
According to the standard deviation rule, 99.7% of people have an IQ between 55 and 145.
How to use the Empirical Rule in statistics?The standard deviation rule which is the empirical rule in statistics tells us that for distributions that have the normal shape, approximately 99.7% of the observations will fall within 3 standard deviations of the mean.
Now, In this question the mean is 100, and the standard deviation is 15. Thus, we can say that approximately 99.7% of the observations (IQ scores) fall between 100 − (3 * 15) and 100 + (3 * 15) or between 55 and 145.
Now, approximately 100% − 99.7% = 0.3% of the observations fall outside this interval. Since the normal shape is symmetric, approximately 0.15% of the observations fall above 145.
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Which choice correctly explains the expression?
5 × 9
Responses
5 groups with 9 items per group
5 groups with 9 items per group
5 groups with 5 items per group
5 groups with 5 items per group
9 groups with 9 items per group
9 groups with 9 items per group
Skip to navigation
Answer:
The first choice
Step-by-step explanation:
Since we're looking at 5 × 9, we'd need to group them into 5 groups of 9, or 9 groups of 5. In this case, the first choice is the correct answer.
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Suppose that the relationship between price, P, and quantity, Q, is given by the equation Q = 140-4P.
Which of the following equations correctly represents solving Q = 140-4P for P?
OP=140-Q
OP=35-4Q
OP=140-4Q
OP=140+Q
OP=35-10
Answer:
In 1864, Sherman succeeded Grant as the Union commander in the Western Theater. He led the capture of the strategic city of Atlanta, a military success that contributed to the re-election of President Abraham Lincoln.
Step-by-step explanation:
thirty automobiles were tested for fuel efficiency in miles per gallon. the following frequency distribution was obtained. construct a histogram
For the given data, x1 = (8 + 12)/2 = 10;
Mean = Sum of frequencies*components/Sum of frequencies = 590 / 30 = 19.6667
What is a Histogram?A histogram roughly depicts the distribution of numerical data. Karl Pearson is credited with coining the phrase. To create a histogram, you must first "bin" (or "bucket") the data range, divide it into a series of intervals, and then count how many values fall into each interval. The bins are often defined as discrete intervals that don't overlap. The bins (intervals) must be next to each other and are frequently (but not necessarily) of the same size.
When the bins are the same size, a rectangle is constructed across each bin, with the height being proportional to the frequency—that is, the number of cases in each bin.
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What is 6(3x-17) + 2x -18 = 9(4x+7) -9 + !7
The Simplification of the expression 6(3x-17) + 2x -18 = 9(4x+7) -9 + 17 and value for the unknown x, is approximately 11.94
Simplification6(3x-17) + 2x -18 = 9(4x+7) -9 + 17
open parenthesis18x - 102 + 2x - 18 = 36x + 63 - 9 + 17
collect like terms18x + 2x - 36x = 63 - 9 + 17 + 102 + 18
- 16x = 191
divide both sides by - 16x = 191 / - 16
x = 11.9375
Approximately,
x = 11.94
Therefore, the Simplification of the expression 6(3x-17) + 2x -18 = 9(4x+7) -9 + 17 and value for the unknown x, is approximately 11.94
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Emma has $12.60 worth of nickels and quarters. She has 4 times as many quarters as
nickels. How many quarters does she have?
On solving linear equation 1.05x=12.60, we get that Emma has 48 quarters.
What is linear equation in one variable?Let x be any variable then ax + b = c b is an linear equation in one variable.
where a, b, c are constants then we get solution for x as
x=(b-c)/a
Given as Emma has 4 times as many as quarters as nickels
Let the no of nickels be x
Then as there are 4 times as many as quarters as nickels
then no quarters be = 4x
Value of one nickel = 5 cents= $0.05
Value of one quarter = 25 cents = $0.25
Therefore x nickels and 4x quarters worth is = x(.05)+4x(.25)
Total worth of given nickels and quarters = $12.60
Then 0.05x+x = 12.60
This is an linear equation in one variable
1.05x=12.60
x= 12.60/1.05
x=12
Therefore ,Emma has 12 nickels
and 4(12)= 48 quarters
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Type the correct answer in the box. Use numerals instead of words.
Consider this expression.
Va³ 7+1b|
-
When a 2and b = -4, the value of the expression is
Calculate the absolute value: 52
Substitute into :: {a =2 ,b = -4} into Va³ 7+1b| =| [tex]2^{3}[/tex] 7 +1*-4|
Determine the sign for exponential or radical expressions: |[tex]2^{3}[/tex] 7 +1*-4|
Calculate the power: |56-4|
Calculate the sum or difference: |52|
Calculate the absolute value: 52
In mathematics, the absolute value or modulus of a real number {x}x, denoted { |x|}|x|, is the non-negative value of { x}x without regard to its sign. Namely, { |x|=x}{ |x|=x} if x is a positive number, and {|x|=-x}{ |x|=-x} if { x}x is negative (in which case negating { x}x makes { -x}-x positive), and { |0|=0}{ |0|=0}.The absolute value of a number may be thought of as its distance from zero.
For example, an absolute value is also defined for the complex numbers, the ordered rings, fields and vector spaces. The absolute value is closely related to the notions of magnitude, distance, and norm in various mathematical and physical that is divisible by both 5 and 2, it is the least common multiple of 5 and 2.
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An equilateral triangle with side length 13 cm is shown in the diagram, work out the height of the triangle. Give your answer rounded to 1 DP.
the answer to the given question is 11.3 cm
A triangle having equally length sides is referred to as an equilateral triangle in geometry.The measurements of the three opposite angles are equal because the three sides are congruent.It is also referred to as a triangle that is comparable since each measured angle is 60 degrees. Equilateral triangles have formulas for their area, perimeter, and height just like other triangles do.Equal on all three sides. The sum of the three congruent angles is 60 degrees. It is a three-sided, equilateral polygon.Side = 13 cm
Height of triangle = root3/2 * 13
= 11.25 cm
Therefore, the Height of the triangle is 11.3 cm
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if the length of a rectangular field is 2 feet less than four times its width, and the perimeter is 106 feet.
The length and width of the rectangle are: 42 feet and 11 feet.
What is a rectangle?Rectangle refers to a plane shape, as opposed to a square, with four straight sides and four right angles, particularly one with uneven neighboring sides.
Given:
Perimeter of the rectangular field = 106 feetLength of the field is 2 feet less than 4 times the width.To find: the length and width of the rectangular field.
Finding:
Let the width of the rectangular field be 'x'
Then the length of the field = 4x - 2
Perimeter of rectangle = 2 (width + length)
=> 106 = 2 ( x + 4x -2)
=> 53 = 5x - 2
=> 55 = 5x
=> 11 = x, i.e., the width of the field = 11 feet
The length of the field = 11(4) - 2 = 42 feet.
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Module 2: Lesson 1
Spark Your Learning: Which is the Better Deal/
1. Which best describes the difference between a rebate and a discount, and how is the tax
rate used to find the total cost? (Fill in the oval)
O For a rebate the tax, the tax is calculated on the full price, and the customer receives the
rebate later. For a discount, the tax is calculated on the reduced price after the discount is
applied.
O For a rebate the tax, the tax is calculated on the reduced price after the discount is
applied. For a discount, the tax is calculated on the full price, and the customer receives the
rebate later.
The difference between a tax rebate and a discount is For a rebate the tax, the tax is calculated on the full price, and the customer receives the rebate later. For a discount, the tax is calculated on the reduced price after the discount is applied.
How do tax rebates and discounts differ?A tax rebate is also known as a tax refund and the purpose of it is to pay back a tax payer when they paid more taxes than they were meant to pay. It is therefore calculated on the full amount of tax.
This is different from a tax discount which works by using the discount to reduce the amount of tax owed and then you can pay off the discounted amount as tax.
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Use a calculator to approximate cot(5) to two decimal places. (Enter a number.)
The approximation of the trigonometry ratio cot(5) is 11.43
How to approximate the trigonometry ratio?The trigonometry ratio expression is given as
cot(5)
In trigonometry ratio, we have the following equation
cot(x) = 1/tan(x)
This means that x = 5
Substitute 15 for x in the equation cot(x) = 1/tan(x)
So, we have
cot(5) = 1/tan(5)
Using a calculator, we have:
cot(5) = 1/0.0875
Evaluate the quotient
So, we have
cot(5) = 11.4286
Approximate the above result
So, we have
cot(5) = 11.43
Hence, the approximation of the trigonometry ratio cot(5) is 11.43
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Gabriel started training with the track team five weeks ago. During the first week, he ran 0.5 mile at each practice. The next three weeks he ran 0.75 mile, 1 mile, and 1.25 miles at each practice. If he continues this pattern, how many miles will he be running at each practice during the 7 th week?
If Gabriel continues the pattern of running that he has done on the past four weeks, the miles he will run on the 7th week is 2 miles.
How many miles will Gabriel run?Gabriel's pattern of running is such that he increases the number of miles by 0.25 miles every week.
This is why he ran 0.5 miles, and then 0.75 miles and then 1 mile.
If he keeps going like this, one the 7th week, he will run:
5th week = 1.5 miles
6th week = 1.75 miles
7th week = 2 miles
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Janelle won 27 tickets at the fair. She traded the tickets for 9 prizes. Each prize was worth the same number of tickets was each prize worth?
Answer:
3
Step-by-step explanation:
27 tickets = 9 prizes
Since they are all equal, it would be 27 divided by 9 = 3
Are the ratios 1:2 and 8:16 equivalent?
Answer:
Yes, the ratios are equivalent.
Step-by-step explanation:
how do I solve this?
for each integer $n$ greater than $1$, let $f(n)$ be the number of solutions of the equation $\sin x
The value [tex]\displaystyle \sum^{2007}_{n = 2} F(n)[/tex] is 2016532.
What is an integer?The collection of positive and negative integers is known as an integer. Integers, like whole numbers, do not include the fractional portion. Integers can therefore be defined as numbers that can be positive, negative, or zero but not as fractions. On integers, we can carry out all arithmetic operations, including addition, subtraction, multiplication, and division. Integer examples include 1, 2, 5, 8, -9, -12, etc. "Z" stands for an integer. The Latin term "Integer," which implies entire or intact, is where the word "integer" first appeared. Zero, positive numbers, and negative numbers make up the particular set of numbers known as integers.
Integer examples include: -1, -12, 6, and 15.
Zero is not an integer that can be positive or negative. There is no (+ or -) sign on zero, making it a neutral number.
F(2) = 3
We learn that for the majority of the graphs by examining different graphs.
F(n) = n+1
3+4+5+5+7+8+9+9+··········+2008
= (1+2+3+4+5+·····+2008)-3-501
= [tex]\frac{(2008) \times( 2009)}{2} -504[/tex]
= 2016532
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A box of mass 20 kg is being pushed up a slope of 15 m long with a
constant speed of 30 m/s as shown in the figure below. What is the
gravitational potential energy? (g= 9.8m/s²)
The gravitational potential energy is 2940 Joules
What is potential energy?The formula for gravitational potential energy is expressed as;
Gravitational Potential energy = m g h
Where;
m is the massg is the acceleration due to gravityh is the height of the objectSubstitute the values into the formula;
⇒ 20 × 9. 8 × 15
Multiply through
⇒ 2940 Joules
Thus, the gravitational potential energy is 2940 Joules
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Find the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3).
the point equidistant from the points (0, 0, 0), (0, 4, 0), (3, 0, 0), and (2, 2, -3) are (1/2, 1, 3/2).
What do you understand by equidistant points?Equidistant is a synonym for "equally distant," which is the state of two points being at the same distance from one another. Equidistant implies at the same distance from a location. The term "equidistant" is commonly used in reference to circles, perpendicular bisectors, parallel lines, and other geometrical concepts .Equidistant refers to the relationship between two or more objects or points that are situated at the same distance from one another. A point is considered to be equidistant from two other points when they are both located at the same distance from it. In the middle of the two starting points is a midway. The distance formula or the halfway formula can be used to demonstrate this.
Equation of sphere passes through origin is given by
x2 + y2 + z2 + ax + by+ cz =0
Given, it also passes through (1,0,0), (0,2,0),(0,0,3)
1+ a = 0, a = -1
4+2b =0, b=-2
And, 9+3c = 0, c= -3
The equation of the sphere becomes x2 +y2+ z2 -x -2y -3z = 0
Comparing with x2 +y2+ z2+ 2gx +2fy +2kz +C =0
Therefore the point that is equidistant from all the given points will be the centre of the sphere passing through all these points.
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seventy-four thousand,
ninety-nine
Answer:
I think you're looking for 74,099
simplify each expression 9(7k-2)+6k
Answer:
= 69k - 18
Step-by-step explanation:
9(7k-2) + 6k
= (9*7k + 9*-2) + 6k
= (63k - 18) + 6k
= 63k + 6k - 18
= 69k - 18
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
2m+4 is the answer
Step-by-step explanation: