Circumference = 2 pi r
R = 10
Pi = 3.14
Circumference = 2×3.14×10
=20×3.14 = 62.8 cm
_____________________________
Hey!!!
Radius(r)=10 cm
Circumference=?
Now,
Circumference=2 pi r
=2*3.14*10
=62.8 cm
So the answer is 62.8 cm
Hope it helps
Good luck on your assignment
______________________________
Share £639 in the ratio 5:4
Answer:
The ratios are £355 and £284
Answer:
335: 284
Step-by-step explanation:
£639 in ratio 5:4
5+4 =9
639 / 9 = 71
71 × 5 = 355
71 ×285 =284
355:284
Is the decimal 0.888. . . rational or irrational? If it is rational, write it as a fraction. If it is irrational, explain why.
Answer:
It is irrational because a rational number expressed as the quotient or fraction of two integers
Step-by-step explanation:
Help with my math plesae 100 POINTS POINT STEALING = REPORT
Answer:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
Step-by-step explanation:
Sides lengths of a ,b, c such that a^2+b^2 =c^2, triangle ABC is a right triangle
The converse is interchanging what is given and what is proven.
Answer:
side lengths;a2 + b2 = c2;triangle abc is a right angle
explanation= when you add side lengths a and b u get c which would become a right triangle as stated in the formula a2 + b2 = c2
thats the answer mate hope it helps
Write the quadratic function f(x) = 3(x + 1)(x – 7) in standard form.
A)
f(x) = x2 – 18x – 21
B)
f(x) = 3x2 – 18x – 21
C)
f(x) = x2 – 6x – 7
D)
f(x) = 3x2 – 6x – 7
Answer:
B
Step-by-step explanation:
Given
f(x) = 3(x + 1)(x - 7) ← expand the factors using FOIL
= 3(x² - 6x - 7) ← distribute the parenthesis
= 3x² - 18x - 21 → B
Noah gathered information on the home states of the swimmers on Team USA. He organized the data in a table. Would a dot plot be appropriate to display his data? Explain your reasoning.This dot plot shows the ages of students in a swimming class. How many students are in the class?
Based on the dot plot, do you agree with each of the following statements? Explain your reasoning.
The class is an adult swimming class.
Half of the students are between 2 and 3 years old.
Answer:
1. No; 2. 16; 3. No; 4. Yes
Step-by-step explanation:
1. Home states of Olympic swimmers
A dot plot compares frequency counts within groups, usually with small sets of data.
Thus, it is great for visualizing quantitative data.
Home states are qualitative data.
It might be better to use a packed bubble chart, especially if more than 20 to 30 states are on the team.
In such a chart, the frequency with which the state name is mentioned would determine the relative bubble size.
It might look like the imaginary chart shown below.
A dot plot would not be appropriate.
2. Number of students
No. of students = 2 + 1 + 2 + 3 + 2 +1 + 1 + 2 + 2 = 16
3. Is this an adult swimming class?
The ages of the students range from 18 mo to 32 mo.
This is not an adult swimming class.
4. Ages of half the students
Half of 16 students is eight students.
The eight oldest students range in age from 25 mo to 32 mo.
This is between the ages of 2 yr to 3 yr (24 mo to 36 mo), so
Half the students are between 2 yr and 3 yr old.
Answer:
(1. No) (2. 16) (3. No) (4. Yes)
Step-by-step explanation:
Hope this helps!!
Pure gold is often mixed with other metals to produce jewelry. Pure gold is 24 carat. 12 carat gold is 12/24 or 50% gold, 6 carat gold is 6/24 or 25% gold, etc. A jeweler has some 12 carat gold and some 21 carat gold and wants to produce 90 g of 75% gold.
a. What percentage of gold is 21 carat?
b. How many grams of 12 carat gold and 21 carat gold are needed to produce the mixture?
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
[tex]gold_{21} = \frac{21}{24}*100 = 87.5 \%[/tex]
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
[tex]x + y = 90[/tex]
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
[tex]0.5*x + 0.875*y = 0.75*90\\\\0.5*x + 0.875*y = 67.5\\[/tex]
We now have a system of equations which we can solve to find the necessary mass of each type.
[tex]x + y = 90 \text{ } *-0.5\\0.5*x + 0.875*y = 67.5\\\\-0.5*x - 0.5*y = -45\\0.5*x + 0.875*y = 67.5\\\\0.375*y = 22.5\\\\y = 60[/tex]
[tex]x = 90 - y = 90 - 60\\\\x = 30[/tex]
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Answer:
a. 87.5%
b. 30 g of 12 carat and 60 g of 21 carat.
Step-by-step explanation:
a. The percentage of gold in 21 carat is given by:
b. Since the mass he wants to produce is 90 g, then the added mass of the 12 carat, "x", and the mass of the 21 carat "y", must be equal to that:
The sum of gold on each carat type must be equal to the amount of gold on the final mixture, since a 12 carat has 50% gold and a 21 carat has 87.5% gold, then we have:
We now have a system of equations which we can solve to find the necessary mass of each type.
He needs 30 g of 12 carat gold and 60 g of 21 carat gold.
Step-by-step explanation:
The slope of a line is 2. The y-intercept of the line is –6. Which statements accurately describe how to graph the function? Locate the ordered pair (0, –6). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (0, –6). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, right 1 to locate the next ordered pair on the line. Draw a line through the two points. Locate the ordered pair (–6, 0). From that point on the graph, move up 2, left 1 to locate the next ordered pair on the line. Draw a line through the two points.
Answer:
Step-by-step explanation:
Please help, due tomorrow
Answer:
E. CI = 102.79
hich number line correctly shows –3 – 1.5? A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to negative 3 and from negative 3 to negative 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from 0 to 3 and from 3 to 4.5. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 3 to negative 1.5 and from 0 to negative 3. A number line going from negative 4.5 to positive 4.5. An arrow goes from negative 1.5 to 1.5 and from 0 to negative 1.5.
Answer:
#1
Step-by-step explanation:
#1)-3-1.5
you go 3 units left from zero to get to -3
then, you go 1.5 units to the left of -3,
thus getting to -4.5,
#2) in #2 you went to the right to 3 and 4.5, but dude, it is subtraction, so, it should go the opposite way...wrong
#3) you can't change to order of the things in subtraction like in addition, so #3 is wrong answer of 3
#4) like in # 3, you have to go from 0 to (-3) 3 units to the left first, also you go from -3 to -4.5 1.5 units to the left, not -3 to -1.4 -4.5, which makes no sense, steps shown incorrectly to get any single answer at all
#5) you go from -1.5 to 1.5 , then from 0 to -1.5, same as in 4, 3, and 2 you will never get to -4.5, but same as 4 not get any single answer at all
Kennedy can type 150 words in 2 minutes. How many words per minute can Kennedy type?
words per minute
Answer:
75
Step-by-step explanation:
Answer:
75wpm
Step-by-step explanation:
150 ÷ 2 = 75
75 wpm
Help pure people pls get brainliest
Answer:
hi there!
The correct answer is: 5
Step-by-step explanation:
The distance formula: [tex]\sqrt{(x1-x2)^{2} + (y1-y2)^{2} }[/tex]
and since the two points given are: (2,1) and (5,5)
you plug in the points and you get: 5
[tex]\sqrt{(2-5)^{2} + (1-5)^{2} }[/tex]
[tex]\sqrt{(-3)^{2} + (-4)^{2} }[/tex]
[tex]\sqrt{9+16}[/tex]
[tex]\sqrt{25 } = 5[/tex]
Answer:
The correct answer is five
Step-by-step explanation:
The slope is 4/3 and since the distance can be found by creating a triangle we can just assume it is 5 because of Pythagorean triples
what is 15 divided by 82?
82 ÷ 15 = 5.4
Mixed number form: 5 ⁷/₁₅
Answer:
the answer is 5.4
Step-by-step explanation:
Thomasina wrote down a number that is both rational and a whole number. What is one possible number she could have written down?
Answer:
1
Step-by-step explanation:
Answer:
2.
Step-by-step explanation:
Rational numbers can be written as a/b where a and b are integers ( b not zero) and a and b are co-prime ( no common factors)
A whole number is rational (2 for example can be written as 2/1).
It could have been 2 or 3 or 33.
Which of the following is a polynomial?
O A. (° - 4)
(x + 1)
O B. x-2-1
O c. 1+2
O D. x-2
Here A is the answer because it has more terms i guess
please need help I will be MARKING as BRIANILIST. thank you so much
Answer:
Step-by-step explanation:
a, as the x axis increases, so does the y axis
b, temperature outside v ice cream sales
hours studied v grade on test
c, I cannot do for you, but i can tell you how. Draw a straight line that you feel is an accurate representation of the graph. Then find the slope and write an equation
Which statement is true about the right angles ABC and DEF
please help me with this question (pic attached) explain if you can
Answer:
For x=1 substituting in f(x) the value of x
f(1)=-3(1)+1 = -2
For x=0 substituting in g(x) the value of x
g(0)=3^(0) =1
Finally, we have to find for what value of x the function f(x) gives -8
f(x) = -8
-8 = -3x+1
-3x=-9
x=3
Which is greater 8/25 or 0.32
[tex]\frac{8}{25} = 0.32\\[/tex] when simplified into decimals.
This means that these two are equal. hope this helps!
8/25 is equal to 0.32
let me know if u need explanation
Find the sum
[tex](4 {xy}^{2} - {3x}^{2}y - 5xy - 6 ) + ( - {5xy}^{2} - 2xy + 3)[/tex]
Answer:
[tex]-3x^2y-xy^2-7xy-3[/tex]
Step-by-step explanation:
[tex](4xy^2-3x^2y-5xy-6)+(-5xy^2-2xy+3)[/tex]
[tex]4xy^2-3x^2y-5xy-6-5xy^2-2xy+3[/tex]
[tex]-3x^2y-xy^2-7xy-3[/tex]
The legs of a right triangle are 3 units and 8 units. What is the length of the hypotenuse? Round your answer to the nearest hundredth. 8.54 9.54 11.00 24.00
Answer:
Step-by-step explanation:
Hypotenuse^2=3^2+8^2
Hypotenuse^2=9+64=73
Hypotenuse =square root of 73
Hypptenuse =8.54
Answer:
8.54
Step-by-step explanation:
I took a test
Vlad tried to solve an equation step by step.
Find Vlad's Mistake.
Answer:
I think that it’s correct
Step-by-step explanation:
Answer:
Vlad did not make a mistake
Step-by-step explanation:
Khan academy 7th grade inequalities quiz 2 and unit test
Which represents a quadratic function? f(x) = −8x3 − 16x2 − 4x f (x) = three-quarters x 2 + 2x − 5 f(x) = StartFraction 4 Over x squared EndFraction minus StartFraction 2 Over x EndFraction + 1 f(x) = 0x2 − 9x + 7
Answer:
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -8x^3 - 16x^2 - 4x\\f(x) = \frac{3}{4}x^2 + 2x - 5\\f(x) = \frac{4}{x^2} - \frac{2}{x} + 1\\f(x) = 0x^2 - 9x + 7[/tex]
Required
Which of the above is a quadratic function
A quadratic function has the following form;
[tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
So, to get a quadratic function from the list of given options, we simply perform a comparative test of each function with the form of a quadratic function
[tex]1.\ f(x) = -8x^3 - 16x^2 - 4x[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^3 + bx^2 + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex]
This function has an exact match with [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
By comparison; [tex]a = \frac{3}{4}\ b = 2\ and\ c = -5[/tex]
[tex]3.\ f(x) = \frac{4}{x^2} - \frac{2}{x} + 1[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = \frac{a}{x^2} + \frac{b}{x} + c[/tex] and this is different from [tex]ax^2 +bx + c = 0 \ where \ a\neq 0[/tex]
[tex]4.\ f(x) = 0x^2 - 9x + 7[/tex]
This is not a quadratic function because it follows the form [tex]f(x) = ax^2 +bx + c = 0\ but\ a = 0[/tex]
Unlike the quadratic function where [tex]a\neq 0[/tex]
So, from the list of given options, only [tex]2.\ f(x) = \frac{3}{4}x^2 + 2x - 5[/tex] satisfies the given condition
If r = 6 units and h = 13 units , what is the volume of the cylinder shown above? Use 3.14 for pi
Answer:
V= 468 * 3.14 = 1.469.52
Step-by-step explanation:
Volume of a cylinder = π r^2 h
V= 3.14 *6^2 * 13
V= 1469.52 cubic unit
This scatter plot shows the relationship between students’ scores on the first exam in a class and their corresponding scores on the second exam.
Which of the following is the best estimate of the average change in the score on exam 2 associated with a 1 point increase on the score on exam 1?
A) 1/4 point
B) 1/2 point
C) 1 point
D) 2 points
Please explain your answer
Answer:
D) 2 points
Step-by-step explanation:
Compare a couple of points in the clumps of points and that is your answer
x f(x)
--------
-3 -18
-2 -4
-1 0
0 0
1 2
2 12
3 36
What is the degree of the polynomial represented in the table?
4
5
2
3
Answer:
I think that the answer is 4
What is the area of this triangle?
PLSSS I WILL GUVE YOU THE POINTS
Answer:
12
Step-by-step explanation:
Can you help me out on this question?
Answer:
4. x= 18
Step-by-step explanation:
We solve the problem like this:
Since 3 is proportional to 6 and 9 is proportional to x, we set up a proportion.
3/9 = 6/x
We then use cross-multiplication to solve for x.
Find the height of this shape, which has a volume of 21/32 cubic feet. Enter answer as a simplified fraction.
L=3/4
W= 1/4
Answer:
h=14
Step-by-step explanation:
3/4*1/4=3/16
21/32/(3/16)=14
Answer:
h=25
Step-by-step explanation:
The ratio of the number of adults to the number of children in a library is 12:5. If there are 45 children in the library, how many adults are there at the library?
Answer:
The answer is 108.
Step-by-step explanation:
This can be solved with a simple proportion. 5/12 = 45/1. For 5 to become 45, you need to multiply by 9. You do the same to the denominator. 12 times 9 is 108.
(07.06 LC) Which statement is true about the equation fraction 4 over 5z − fraction 1 over 5z + 4 = fraction 3 over 5z + 6? It has no solution. It has one solution. It has two solutions. It has infinitely many solutions.
Answer: no solution
Step-by-step explanation: 4/5z - 1/5z = 3/5z
3/5z + 4 = 3/5z + 6
No solution
Answer:
[tex]$z=-\frac{48}{55} $[/tex]
It has one solution.
Step-by-step explanation:
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
Once we have fractions we already know the values when the equation is not true. I'm talking about division when the denominator is 0. It is undefined.
The values for [tex]z[/tex] are:
[tex]$0 ; -\frac{4}{5} \text{ and } -\frac{6}{5} $[/tex]
Now let's find [tex]z[/tex]. First, we have to find the least common multiplier:
In this case: [tex](5z+4)(5z+6)(5z)[/tex]
[tex]$\frac{4}{5z}-\frac{1}{5z+4}=\frac{3}{5z+6} $[/tex]
[tex]$\frac{4(5z+4)(5z+6)}{(5z+4)(5z+6)(5z)}-\frac{1(5z)(5z+6)}{(5z+4)(5z+6)(5z)}=\frac{3(5z)(5z+4)}{(5z+4)(5z+6)(5z)} $[/tex]
I will not proceed in the way above because it would take some time to type, instead, multiply [tex](5z+4)(5z+6)(5z)[/tex] both sides.
[tex]4(5z+4)(5z+6)-1(5z)(5z+6)=3(5z)(5z+4)[/tex]
[tex](20z+16)(5z+6)-(5z)(5z+6)=15z(5z+4)[/tex]
[tex]100z^2+200z+96-25z^2-30z=75z^2+60z[/tex]
[tex]200z+96-30z=60z[/tex]
[tex]200z-90z=-96[/tex]
[tex]110z=-96[/tex]
[tex]$z=-\frac{96}{110} $[/tex]
[tex]$z=-\frac{48}{55} $[/tex]