Answer:
Circumference of the smaller circle = 2.1x units
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Two similar circles are shown. The circumference of the larger circle, with radius OB, is 3 times the circumference of the smaller circle, with radius OA. Radius OB measures x units. Which expression represents the circumference of the smaller circle with radius OA ?
Radius of the larger circle OB = x units
Radius of the smaller circle OA = y units
Circumference of larger circle = 2πx units
Circumference of smaller circle = 2πy units
Since circumference of larger circle is 3 times the circumference of smaller circle,
2πx = 3(2πy)
2πx = 6πy
x = 3y
y = [tex]\frac{x}{3}[/tex]
Therefore, circumference of the smaller circle = [tex]2\pi (\frac{x}{3})[/tex] units
= [tex]\frac{2\pi x}{3}[/tex] units
= 2.094x
≈ 2.1x
Circumference of the smaller circle circle = 2.1x units
Select the correct answer.
If the factors of quadratic function gare (x-7) and (x + 3), what are the zeros of function g?
O A
-7 and 3
-7 and -3
O C.
3 and 7
OD.
-3 and 7
Answer: -3 and 7
Step-by-step explanation:
x - 7
Add 7 to get 0
x - 7 ( + 7) = 0
x + 3
Subtract 3 to get 0
x + 3 ( - 3) = 0
HELP ASAP!!! ANWER AS QUICKLY AS POSSIBLE PLEASE.
Answer:
(17,0) and (-2,19)
Step-by-step explanation:
First, find the gradient of AB, which is 1. As CD is perpendicular, its gradient will be -1. The equation of CD will be y=17-x. The x intercept is where y=0. So, that will give you x=17. When x=-2, y=19. It proves the equation right.
Erik and Nita are playing a numers game. If the difference of their two numbers is less than 10 then Erik wins. If the differece between their two numbers is greater than 10 then Nita wins. The numbers to choose from are zero to twenty. What is the range of numbers that will win the game for your player? (Erik) If your player is Erik, assume that Nita chooses 7. Remember that Erik and Nita can only use numbers from zero to twenty)
Answer:
The range of numbers that will win the game for your player is [tex]0 \leq x \leq 16[/tex].
Step-by-step explanation:
We are given that Erik and Nita are playing a numbers game. If the difference between their two numbers is less than 10 then Erik wins. If the difference between their two numbers is greater than 10 then Nita wins.
The numbers to choose from are zero to twenty.
Our player's name is Erik and we have to find the range of numbers that will win the game for Erik.
Given that Nita chooses 7.
Since we know that if the difference between the numbers chosen by Erik and Nita is less than 10 then Erik wins, so the inequality represented taking into account that Nita chooses 7 is given by;
[tex]|x-7|<10[/tex] , where x = number chosen by Erik, i.e. [tex]0 \leq x\leq 20[/tex]
Further solving the above equation we get;
[tex]-10 < x-7<10[/tex]
[tex]-10+7 < x-7+7 < 10 + 7[/tex]
[tex]-3 < x < 17[/tex]
But keeping in mind the fact that Erik and Nita can choose numbers between 0 and 20 (inclusive) only.
SO, the required range of numbers that can win Erik the game is given by = [tex]0 \leq x \leq 16[/tex].
Which is the graph of x Greater-than-or-equal-to 98.6? A number line going from 95 to 103. A closed circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the right of the circle is shaded. A number line going from 95 to 103. An open circle is at 98.6. Everything to the left of the circle is shaded. A number line going from 95 to 103. A closed circle is at 98.6. Everything to the left of the circle is shaded.
Answer:
The correct option is;
A. A number line that goes from 95 to 103. A closed circle is at 98.6. Everything to the right is shaded.
Step-by-step explanation:
To represent x greater-than-or-equal-to 98.6 on the number line we note that an open circle stands for either a less than or a greater than, while an open circle stands for either less than or equal to or greater than or equal to
The correct way to represent x greater than or equal to 98.6 on the number line, we indicate the point 98.6 with a closed circle and we shade everything in the region of the solution which is to the right of the closed circle
Therefore the correct option is A. A number line that goes from 95 to 103. A closed circle at is at 98.6. Everyting to the right is shaded.
Answer:
the correct answer is A
Step-by-step explanation:
What is ? 5(x+y)-3(x+y)
Answer:
2(x+y)
Step-by-step explanation:
Simple 5-3 with some added variables that don't change.
Chiko bought 75 shares of stock at $19.58 per share. He received dividends of $73.42 during the year. At the end of the year, his stock was valued at $22.14. (Do not use commas, percentage signs or dollar signs in your answers. Round percentage answers to the nearest tenth) What was his purchase price?
Answer: 1,468.5
Step-by-step explanation:
Hi, to answer this question we simply have to multiply the price of each share of stock ($19.58) by the number of shares of stock bought (75 ).
Mathematically speaking:
Price per share x number of shares = 19.58 x 75 = $1,468.5
His purchase price was 1,468.5
Feel free to ask for more if needed or if you did not understand something.
I need helppp fastttt!
Answer:
The cube root of 1331 is 11.
Step-by-step explanation:
11 times 11 times 11 = 1331
Answer:
11
Step-by-step explanation:
=> [tex]\sqrt[3]{1331}[/tex]
We'll prime factorize it!
=> [tex]\sqrt[3]{11*11*11}[/tex]
=> [tex]\sqrt[3]{11^3}[/tex]
Since, [tex]\sqrt[3]{} = ^{1/3}[/tex]
=> [tex]11^{3*1/3}[/tex]
=> [tex]11^{3/3}[/tex]
=> [tex]11^1[/tex]
=> 11
What is the midpoint of the segment shown below? For geometry worksheet!
Answer:
D
Step-by-step explanation:
The y-coordinate will be the average of 5 and -2 which is 3/2. This eliminates options A and B. C doesn't make sense because the x-coordinate (which is -7) of the midpoint can't be larger or smaller than the x-coordinates of the endpoints, so that means that the answer is D.
after a party, you have 2/5 of brownies you made leftover . there are 16 left. how many brownies did you make for the party?
Answer:
b = 40
Step-by-step explanation:
Let b= brownies made
b* 2/5 = brownies left over
b*2/5 = 16
Multiply each side by 5/2
b * 2/5 *5/2 = 16*5/2
b = 40
Answer:
40
Step-by-step explanation:
.4/.4 is 1 so 16/.4 is 40
A movie was 3 1/2 hours long if Lilly turned of the movie off 1/4 of the way through how much time did she spend watching
Answer:
7/8 of an hour
Step-by-step explanation:
Answer:
duration of movie = 3 hours 30 minutes
= 180 + 30
= 210 minutes
Lily turned of 1/4 of the way
time she spend watching
= 1/4 × 210
= 52.5 minutes
Two
angles
Complementary
one angle
measures 22 degrees. The
other measure
2x degrees solve for
x
A 62
B 34
c. 158
d 79
Answer:
Option B
Step-by-step explanation:
Complementary Angles add up to 90 degrees
So,
Other Angle = 90-22
Other Angle = 68 degrees
Also Other Angle = 2x (Given)
So,
2x = 68
Dividing both sides by 2
=> x = 34
What can you about the value of a if the equation y=ax^2-8 has no solutions? Plz explain!
Answer:
If a is negative or zero there are no real solutions
Step-by-step explanation:
y=ax^2-8
Set equal to zero to find the solution
0 =ax^2-8
Add 8 to each side
8 = ax^2
Divide by a a cannot be zero or we cannot divide by it
8/a = x^2
Take the square root of each side
sqrt(8/a) = sqrt(x^2)
We need 8/a to be positive for it to have real solutions
That means a has to be positive
If a is negative or zero there are no real solutions
What property is used in the second step of solving the inequality below?
Given
5x-9 <91
5x < 100
X<20
Multiplication Property
O Identity Property
O Addition Property
O Multiplication Property
O Transitive Property
Answer:
addition
Step-by-step explanation:
16 is what percent of 80? A 15% B 20% C 25% D 30%
Answer:
20%
Step-by-step explanation:
16/80= ?/100
16 times 100 is 1600
1600 divided by 80 is 20%
hope this helps
Answer:
B. 20%
Step-by-step explanation:
16 as a percent of 80 can be written as:
16/80
Simplify the fraction using the greatest common factor 16.
16÷16/80÷16
1/5 = 0.2
1/5 as a percent is 20%.
can you please help ?
Answer:
17
Step-by-step explanation:
Plot in the points for each variable to find the y-intercept.
1=-4(4)+c
1=-16+c
1+16=c
17=c
9=-4(2)+c
9=-8+c
9+8=c
17=c
Answer:
Step-by-step explanation:
Given:
2 Points
(4,1) and
(2,9)
Slope
m = (y2 - y1)/(x2 - x1)
y2 = 9
y1 = 1
x2 = 2
x1 = 4
m = (9 - 1) / (2 - 4)
m = 8 / - 2
m = - 4
y intercept
y = mx + b
y = -4x + b
Use (9, 1) to find the y intercept
1 = - 4*9 + b
1 = - 36 + b
b = 37
Answer
The equation is y = - 4x + 37
I need help with these two please help me!
Answer:
0.50
Step-by-step explanation:
Simply plug -2 in for x into the equation.
2(2^-2) = 0.50
Answer:
0.50
Step-by-step explanation:
A survey asks teachers and students whether they would like the new school mascot to be a shark or a moose. This table shows the results. Which statement is true? A. There is no difference between the preferences of students and teachers. B. "Shark" is more popular with students, but "moose" is more popular with teachers. C. "Moose" is more popular with students, but "shark" is more popular with teachers. D. "Moose" is equally popular with students and teachers.
Answer:
The correct statement is (D).
Step-by-step explanation:
Compute the probabilities for the data provided:
Probability students preferring sharks:
[tex]P(\text{Students preferring sharks})=\frac{90}{95}=0.947[/tex]
Probability teachers preferring sharks:
[tex]P(\text{Teachers preferring sharks})=\frac{5}{95}=0.053[/tex]
Probability students preferring moose:
[tex]P(\text{Students preferring moose})=\frac{10}{20}=0.50[/tex]
Probability teachers preferring moose:
[tex]P(\text{Teachers preferring moose})=\frac{10}{20}=0.50[/tex]
From the above computations it can be concluded that:
Shark is more popular with students.Moose is equally popular with students and teachers.Thus, the correct statement is (D).
Answer: Just did it and the answer is “Shark”...
Step-by-step explanation:
PLZ HELP ME ☻ [tex]\[\frac{xy}{x + y} = 1, \quad \frac{xz}{x + z} = 2, \quad \frac{yz}{y + z} = 3\][/tex] Solve system of equations
Answer:
[tex]x=\frac{12}{7} \\y=\frac{12}{5} \\z=-12[/tex]
Step-by-step explanation:
Let's re-write the equations in order to get the variables as separated in independent terms as possible \:
First equation:
[tex]\frac{xy}{x+y} =1\\xy=x+y\\1=\frac{x+y}{xy} \\1=\frac{1}{y} +\frac{1}{x}[/tex]
Second equation:
[tex]\frac{xz}{x+z} =2\\xz=2\,(x+z)\\\frac{1}{2} =\frac{x+z}{xz} \\\frac{1}{2} =\frac{1}{z} +\frac{1}{x}[/tex]
Third equation:
[tex]\frac{yz}{y+z} =3\\yz=3\,(y+z)\\\frac{1}{3} =\frac{y+z}{yz} \\\frac{1}{3}=\frac{1}{z} +\frac{1}{y}[/tex]
Now let's subtract term by term the reduced equation 3 from the reduced equation 1 in order to eliminate the term that contains "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\-\\\frac{1}{3} =\frac{1}{z} +\frac{1}{y}\\\frac{2}{3} =\frac{1}{x} -\frac{1}{z}[/tex]
Combine this last expression term by term with the reduced equation 2, and solve for "x" :
[tex]\frac{2}{3} =\frac{1}{x} -\frac{1}{z} \\+\\\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\ \\\frac{7}{6} =\frac{2}{x}\\ \\x=\frac{12}{7}[/tex]
Now we use this value for "x" back in equation 1 to solve for "y":
[tex]1=\frac{1}{y} +\frac{1}{x} \\1=\frac{1}{y} +\frac{7}{12}\\1-\frac{7}{12}=\frac{1}{y} \\ \\\frac{1}{y} =\frac{5}{12} \\y=\frac{12}{5}[/tex]
And finally we solve for the third unknown "z":
[tex]\frac{1}{2} =\frac{1}{z} +\frac{1}{x} \\\\\frac{1}{2} =\frac{1}{z} +\frac{7}{12} \\\\\frac{1}{z} =\frac{1}{2}-\frac{7}{12} \\\\\frac{1}{z} =-\frac{1}{12}\\z=-12[/tex]
3:7 ratio what fraction does he get
Answer:
3/10
Step-by-step explanation:
Josh and Lucy share some money in the ratio 3:7.
3+7=10
The fraction Lucy gets is 7/10
The fraction Josh must get is 3/10.
А
D
B
С
If IZABD = 76°, and m2DBC = 68°,
then m ABC = [? ]
Answer:
m<ABC = 144 degrees
Step-by-step explanation:
m<ABD = 76 degrees
m<DBC = 68 degrees
So,
m<ABC = m<ABD+m<DBC
m<ABC = 76+68
m<ABC = 144 degrees
i lost my old brainly account name it was called official norths :( i forgot the password i will love if you help me with this please The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?
Answer:
86° Fahrenheit
Step-by-step explanation:
F=1.8C + 32
C=30°
Plugging into the formula:
[tex]F=1.8*30+32\\F=54+32\\F=86[/tex]
The Fahrenheit for 30° Celsius using the given formula is 86° Fahrenheit.
Answer:
86 degrees
Step-by-step explanation:
Your friend has $100 when he goes to the fair he spends 10 to interfere in 20 on food Rides at the fair cost two dollars per ride which function can be used to determine how much money he has left over after x rides
Answer:
$70-$2x
Step-by-step explanation:
In the beginning, your friend spent $30 on interference and food, leaving him or her $70.
Since every ride costs $2, you multiply the amount of rides he rode by 2 to get how much he spent.
He subtracted that from the money he had which was $70.
Therefore, the equation is $70 - $2x
To which subsets of the real numbers does 5 belong
Answer:
For example, 5 can be written as 5/1.
Step-by-step explanation:
The natural numbers, whole numbers, and integers are all subsets of rational numbers. In other words, an irrational number is a number that can not be written as one integer over another. It is a non-repeating, non-terminating decimal. hope this helps you :)
Evaluate the expression. r = , v = , w = v ⋅ w (5 points)
Answer:
Step-by-step explanation:
A company sells two versions of an antivirus software. The home edition costs $23.50, and the business edition costs $58.75. Last week, the company earned $29,668.75 from selling 745 copies of the software.
If x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold, which system of equations represents this situation?
Answer:
x + y = 745
23.50x + 58.75y = 29,668.75
Step-by-step explanation:
Since 745 copies were sold and x represents the number of copies of the home edition sold and y represents the number of copies of the business edition sold:
x + y = 745
Since the home edition costs $23.50, and the business edition costs $58.75:
The money earned from home edition is = 23.50x
The money earned from business edition is = 58.75y
Since the company earned $29,668.75:
23.50x + 58.75y = 29,668.75
What is the value of the exponential expression below 16^ 1/2
Answer:
4
Step-by-step explanation:
16^1/2
= [tex]\sqrt{16}[/tex]
=4
Answer:4
Step-by-step explanation:
BIG BRAIN
The formula F=1.8C + 32 is used to convert temperatures between degrees Fahrenheit (F) and degrees Celsius (C). How many degrees Fahrenheit is it if it is currently 30º C?
Answer:
86 degrees
Step-by-step explanation:
Find the value of x in the given
right triangle.
10
37°
Х
x = [?]
Enter your answer as a decimal rounded to the
nearest tenth.
Enter
Answer:
x ≈ 8.0
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos37° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{10}[/tex] ( multiply both sides by 10 )
10 × cos37° = x , thus
x ≈ 8.0 ( to the nearest tenth )
The value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.
What is a right-angle triangle?
It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
We have a right angle triangle shown in the picture.
As we know, the cos is the ratio of the side adjacent to angle to hypotenuse.
cos37 = x/10
x = 10cos37
x = 10(0.79)
x = 7.9 ≈ 8 units
Thus, the value of the x is 8 units after applying the cos ratio, which is the ratio of the side adjacent to angle to hypotenuse.
Learn more about the right angle triangle here:
brainly.com/question/3770177
#SPJ5
Which statement is true about the graphs of the two lines y = –6 and x = 1/6 ?
Answer:
They both intersect eachother
Step-by-step explanation:
Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words. Explain how you determine each of the two expressions of the equation when the mathematical statement is given in words.
Answer: This can be done by properly interpreting the words into appropriate signs and digits.
Please check below for explanation of WORD PROBLEMS.
Step-by-step explanation: In mathematics, as you move to a higher level, you would encounter more of word problems than simply figures and signs. This simply means, you would be presented with series of statements that should be interpreted and hence an equation would be derived and then solution proffered. First it is really important to note that an equation only exists when the expression on one side is equal to that on the other side. Equally important are the following expressions;
(1) Sum refers to addition (plus)
(2) Difference refers to subtraction (minus)
(3) Product refers to multiplication (times) and
(4) Quotient refers to division (divide)
(5) The same as refers to equal to
Hence, interpreting the expression is largely determined by the use of any of the above expressions and the slightest error in interpreting negates everything afterwards.
So on the one hand, one set of statements will usually tell you that, "so and so is the same as" this and that. This is interpreted as "so and so" is equal to "this and that."
A simple example would help to illustrate this;
Illustration:
(a) Four times a number added to a dozen would result in seven times that same number.
Solution; Let the number be x. Four times a number means 4 times x, which gives you 4x.
Added to a dozen means you add 4x to a dozen, that is 4x + 12.
This would result in seven times that same number. Simply put, what you just did above (4x + 12) would result in or would be equal to 7 times x which is 7x. This now gives you,
4x + 12 = 7x.
Therefore to determine each of the two expressions of an equation is largely dependent on properly interpreting the words into the appropriate signs and figures (that is, plus, minus, times, divide and equal to).