Answer: 10pi
Step-by-step explanation:
C=2*pi*r
C=2*pi*5
C=10*pi (exact)
This is exact if u want numbers, you’ll have to round-off and you can just put 10xpi into a calculator If u want to see.
Answer:
C = 31.42
Step-by-step explanation:
radius = 5
C = 2 π r
C = 2 · π · 5
C = 31.41593
then you round so it equals 31.42 instead
Issouf claims that the scale factor is 1/2. which statement about his claim is correct?
A- He is correct because CB is 4 and C' B' is 2. The scale factor is C'B'/CB = 2/4 = 1/2
B- He is correct because he needs to subtract 2 from each side. A reduction has a scale factor that is a fraction, so it must be 1/2
C- He is Incorrect because it is 3. CB is actually 2+4 or 6. So one needs to multiply the pre-image length by 3 to get the image; 3 is the scale factor.
D- He is Incorrect because the scale factor is 1/3. CB is actually 2 + 4 = 6. CB is the pre-image, so the scale factor is C'B'/CB = 2/6 = 1/3.
Answer:
The correct option is D.
Step-by-step explanation:
It is given that Issouf claims that the scale factor is 1/2.
From the given figure it is clear that
[tex]CB'=C'B'=2[/tex]
[tex]B'B=6[/tex]
[tex]CB=CB'+B'B=2+4=6[/tex]
The scale factor of a figure is
[tex]k=\frac{\text{Length of any side of image}}{\text{Length of corresponding side of preimage}}[/tex]
[tex]k=\frac{C'B'}{CB}[/tex]
[tex]k=\frac{2}{6}[/tex]
[tex]k=\frac{1}{3}[/tex]
The scale factor is 1/3 because CB is actually 2 + 4 = 6.
Therefore the correct option is D.
Andy and Jacob work as technicians in a laboratory where gemstones are tested and certified. Andy has already tested 30 gemstones and continues testing at a rate of 30 gemstones per hour. Jacob has already tested 40 gemstones and continues testing at a rate of 25 gemstones per hour. Which function can Andy and Jacob use to determine the total number of gemstones they have tested after x hours? How many gemstones will they have tested after 5 hours? A. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 55x + 10. Thus, they will have tested 285 gemstones in 5 hours. B. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 70x + 55. Thus, they will have tested 405 gemstones in 5 hours. C. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 55x + 70. Thus, they will have tested 345 gemstones in 5 hours. D. The function that describes the total number of gemstones tested by Andy and Jacob in x hours is given by f(x) = 60x + 65. Thus, they will have tested 365 gemstones in 5 hours.
Answer:
Option C is correct.
Step-by-step explanation:
Andy tested gemstones already = 30
Jacob tested gemstones already = 40
Total gemstones tested by Andy and Jacob already = 30+40 = 70
Andy continue to test gemstones per hour = 30
Jacob continue to test gemstones per hour = 25
Total gemstones tested by Andy and Jacob per hour = 30 +25 = 55
The total number of gemstones tested by Andy and Jacob after x hours will be: 55x
So, the equation will be: f(x) = 55x + 70
After 5 hours i.e. x =5
f(5) = 55(5) + 70
f(5) = 275 + 70
f(5) = 345
Andy and Jacob will have tested 345 gemstones in 5 hours.
So, Option C is correct.
A lifeguard at a swimming pool gives one-hour swim lessons to children in the morning before the pool is open to the public. She earns four dollars per class and fifty cents per swimmer. The minimum wage in her state is $7.25. She hopes to earn more than that amount of money during each class. Write an inequality that models the situation and find the minimum number of students she must teach in each class so that her earnings for that hour exceeds the minimum wage in her state.
Answer:
brainliest ps :)
Step-by-step explanation:
her wage is $4.00 + s*0.5 so 7.25-4> s*.5== 3.25 > s*.5 == 6.5 > s
The inequality for the given information can be written as 6.5 > s.
What is inequality?When two expressions are connected by a sign like "not equal to," "greater than," or "less than," it is said to be inequitable. The inequality shows the greater than and less than relationship between variables and the numbers.
A lifeguard at a swimming pool gives one-hour swim lessons to children in the morning before the pool is open to the public. She earns four dollars per class and fifty cents per swimmer. The minimum wage in her state is $7.25.
The inequality can be written as:-
$4.00 + ( s x 0.5 )
7.25-4 > ( s x 0.5 )
3.25 > ( s x 0.5 )
6.5 > s
To know more about inequality follow
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The scatter plot shows the study times and test scores for a number of students. How long did the person who scored 81 study?
Answer: Option A
50 minutes
Step-by-step explanation:
Observe in the diagram that the vertical axis represents the score obtained and the horizontal axis represents the study time.
To find out how many hours the person with a score of 81 studied, locate the point that is at a vertical distance of 81.
Now draw a vertical line from this point to the horizontal axis. Note that the vertical line traced intercepts the vertical axis at x= 50
Then the person who got a score of 81 studied 50 minutes
The answer is the option A
At a book fair, 1/4 of the people bought 1 book.3/5 of the remaining
people bought 2 books each and the rest of the people bought 3
books each. A total of 4469 books were sold. How many people
were at the book fair?
Answer:
2,180 people
Step-by-step explanation:
Let
x-----> number of people at the book fair
we know that
1) 1/4 of the people bought 1 book each
(1/4)x=(5/20)x
2) 3/5 of the remaining people bought 2 books each
The remaining people is (3/4)x
so
(3/5)(3/4)x=(9/20)x
3) the rest of the people bought 3 books each
The rest of the people is x-(5/20)x-(9/20)x=(6/20)x
The linear equation that represent this situation is
(1)*(5/20)x+(2)*(9/20)x+(3)*(6/20)x=4,469
(5/20)x+(18/20)x+(18/20)x=4,469
(41/20)x=4,469
x=4,469*20/41
x=2,180 people
Which is the solution of the quadratic equation (4y – 3)2 = 72?
Answer:
y = 9.75
Step-by-step explanation:
(4y - 3)2 = 72
Opening the brackets;
8y - 6 = 72
8y = 72 + 6 = 78
y = 78 ÷ 8 = 9.75
Answer:
[tex]y = \frac{3+6\sqrt{2}}{4}\text{ and } y = \frac{3-6\sqrt{2}}{4}[/tex]
Step-by-step explanation:
Given quadratic equation,
[tex](4y-3)^2=72[/tex]
[tex]\implies 4y - 3 = \pm \sqrt{72}[/tex] ( Taking root on both sides )
[tex]4y=3 \pm 6\sqrt{2}[/tex] ( Additive property of equality ),
[tex]y = \frac{3 \pm 6\sqrt{2}}{4}[/tex] ( Division property of equality )
[tex]\implies y = \frac{3+6\sqrt{2}}{4}\text{ or }y =\frac{3-6\sqrt{2}}{4}[/tex]
Hence, the solution of the given equation is,
[tex]\implies y = \frac{3+6\sqrt{2}}{4}\text{ and }y =\frac{3-6\sqrt{2}}{4}[/tex]
Find the value of X
Answer:
C. 66
Step-by-step explanation:
32 + x =98
The sum of interior angles of a triangle add up to the exterior opposite angle;
solving for x yields;
x = 98 - 32
x = 66 degrees
Answer:
x = 66°
Step-by-step explanation:
Since DAC is a straight line, the angles must add up to 180° and 98° is given so the missing angles is 180° - 98° = 82°
Angles in a triangle add up 180° and 32° and 82° are given →
x + 32° + 82° = 180°
x + 114° = 180°
x = 66°
Kate is painting a ceramic paperweight shaped like a rectangular prism, as shown here. (dimensions of .8 ft , 1.2 ft, 1.2 ft)She wants to find the surface area of the paperweight so she can determine how much paint she needs.
The area of one of the bases is _____
The area of each lateral rectangular face is _____
The surface area of the paperweight is _____
Answer:
The area of one of the bases is 0.96 ft²
The area of each lateral rectangular face is 4.8 ft²
The surface area of the paperweight is 6.72 ft²
Step-by-step explanation:
we know that
The surface area of the rectangular prism is equal to
SA=2B+LA
where
B is the area of one of the bases
LA is the lateral area of the prism
Find the area of one of the bases B
B=(0.8)(1.2)=0.96 ft²
Find the lateral area LA
The lateral area is the area of each lateral rectangular face
LA=2[(0.8)(1.2)]+2[(1.2)(1.2)]=4.8 ft²
Find the surface area
SA=2(0.96)+4.8=6.72 ft²
Answer: 1.44, 0.96, and then 6.72.
Step-by-step explanation:
the person who answered first is wrong.
could anyone help me? I will mark you as brain liest who ever helps me!
Answer:
1)163.28 (3.14*52)
2)13ft 6in (163.28/12)
3)129 times
4) 31 times
Step-by-step explanation:
1) multiply 52 times pie(3.14)
2)divide 163.28(your total) by 12
3) 1760 divided by 52
4) 1760 divided by 56.52
this is for the other 2 ones
Write a function describing the relationship of the given variables.
V
varies directly with the square of
t
and when
t
=
6
,
V
=
108
V
=
Answer:
The function describing the relationship of V and t is V = 3t²
Step-by-step explanation:
* Lets explain the meaning of direct variation
- The direct variation is a mathematical relationship between two
variables that can be expressed by an equation in which one
variable is equal to a constant times the other
- If Y is in direct variation with x (y ∝ x), then y = kx, where k is the
constant of variation
* Now lets solve the problem
# V is varies directly with the square of t
- Change the statement above to a mathematical relation
∴ V ∝ t²
- Chang the relation to a function by using a constant k
∴ V = kt²
- To find the value of the constant of variation k substitute V and t
by the given values
∵ t = 6 when V = 108
∵ V = kt²
∴ 108 = k(6)² ⇒ simplify the power 2
∴ 108 = 36k ⇒ divide both sides by 36 to find the value of k
∴ 3 = k
- The value of the constant of variation is 3
∴ The function describing the relationship of V and t is V = 3t²
what is the solution to this equation?
x/5=-20
Answer:
-100
Step-by-step explanation:
Answer:
-100
Step-by-step explanation:
You need to multiply
-20 x 5= -100
Hope this helped please mark me the brainliest answer? Have a good day :)
find the conplex conjugate of z1 of z1=i+4
Answer:
- i + 4
Step-by-step explanation:
Given a complex number a + bi then the complex conjugate is a - bi
Note the real part remains unchanged while the sign of the imaginary part is negated.
Hence conjugate of i + 4 = - i + 4
The distance between the two points pictured is d = Use the distance formula to find n. d = n =
Answer:
the answer is 61units
n=61
Step-by-step explanation:
Anyone? i dont understand
Answer:
1725ft^2
Step-by-step explanation:
Hi!
First you have to find your two bases B1 and B2, which are 50 and 65.
Then you find the height, which is 30ft.
Finally, you plug those into the equation 1/2*h*(B1+B2) and solve.
1/2*30*(50+65)
1/2*30*(115)
15*115
1725ft^2 is your answer.
I hope this helps!
How do I solve this?
A football punted upward has a trajectory given by the equation y = 48x − 16x2, where y represents the football's height x seconds after it has been kicked. What is the maximum height, in feet, attained by the ball?
Giving brainliest + 30 points
The maximum happens at x = -b/2a
x = -48/2(-16) = 3/2
Now replace x in the equation and solve for y:
y = 48(3/2) - 16(3/2)^2
y = -72 - 36
y = 36
The maximum height is 36 feet.
The graph of the function f(x)=6/x-3 is shown below. What is the vertical asymptote of the function
Answer:
The vertical asymptote is [tex]x=3[/tex]
Step-by-step explanation:
we know that
The vertical asymptote is the value of x that makes the denominator equal to zero:
In this problem we have
[tex]f(x)=\frac{6}{x-3}[/tex]
[tex]x-3=0[/tex]
Solve for x:
[tex]x-3+3=0+3[/tex]
[tex]x=3[/tex]
The vertical asymptote is [tex]x=3[/tex]
see the attached figure to better understand the problem
Michael earned 50.43 in 6.15 hours. how much did he earn in an hour?
Answer: $8.2
Step-by-step explanation:
Answer:
8.2 dollars an hour is the answer
Step-by-step explanation:
50.43 divided by 6.15 is 8.2
Of all sixth graders, 70% sent a text message yesterday. Ten trials of a simulation are conducted and the data are recorded below. 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511 The numbers 0 through 6 represent students who sent a text yesterday, and the numbers 7 through 9 represent students who did not send a text yesterday. Based on the simulated data, what is the probability that 3 or more of a group of 5 students randomly selected will send a text today?
Answer:
80%
Step-by-step explanation:
According to the given data, the numbers 0 through 6 represent students who sent a text yesterday while the numbers 7 through 9 represent students who did not send a text yesterday.
Based on this key, we will calculate the number of students who sent the text yesterday and the number of students who did not sent the text yesterday.
The given data is: 62072, 34570, 80983, 04292, 83150, 36330, 96268, 14077, 77985, 13511
For each group we will identify how many students sent the text and how many students did not. According to the key, a number from 0 to 6 will be counted as a student who sent the text and a number from 7 to 9 will be counted as a student who did not send the text. Students who did not sent the text are made bold in the groups below.
62072: 4 students sent the text, 1 did not
34570: 4 students sent the text, 1 did not
80983: 2 students sent the text, 3 did not
04292: 4 students sent the text, 1 did not
83150: 4 students sent the text, 1 did not
36330: All 5 students sent the text
96268: 3 students sent the text, 2 did not
14077: 3 students sent the text, 2 did not
77985: 1 student sent the text, 4 did not
13511: All 5 students sent the text
We need to find the probability that 3 or more of a group of 5 students randomly selected will send a text today.
From the given groups, the number of groups where 3 or more students sent a text = 8
This represents our number of favorable or desired outcomes.
Total number of possible outcomes is the total number of groups = 10
Since, probability is defined as the ratio of number of favorable outcomes to total number of outcomes, based on the simulated data the probability that 3 or more of a group of 5 students randomly selected will send a text today will be = [tex]\frac{8}{10}=0.80=80\%[/tex]
Thus, based on the simulated data there is 80% probability that 3 or more of a group of 5 students randomly selected will send a text today
Answer:
The answer is 80% or 4/5(;
Step-by-step explanation:
The graphs below have the same shape. f(x) = x^2 what is the equation of the graph of g(x)?
Answer:
A. [tex]g(x)=(x-4)^2[/tex]
Step-by-step explanation:
The graph of [tex]f(x)=x^2[/tex] is transformed to obtain the graph of g(x).
We can see from the diagram that, f(x) is shifted 4 units to the right to obtain the graph of g(x).
Therefore [tex]g(x)=f(x-4)[/tex].
Hence the equation of g(x) is
[tex]g(x)=(x-4)^2[/tex]
The correct answer is A.
The equation of the graph of g(x) is g(x) = (x - 4)²
How to determine the equationFrom the graph shown, we can see that the f(x) = x² as shown is shifted 4 units to the right to obtain the graph of g(x).
Then, we have that this shift can be achieved by replacing x in the equation of f(x) with x - 4 to represent the horizontal shift.
We have the equation of the graph of g(x), to be;
g(x) = (x - 4)²
This equation represents a horizontal shift of the graph of f(x) by by 4 units to the right, as g(x) remains the same shape f(x) but is shifted horizontally to the right by 4 units.
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what is the value of 6(2b-4) when b=5
Answer:
36
Step-by-step explanation:
6(2b-4)
Let b = 5
6(2 (5)-4)
Work inside the parentheses out
6(10-4)
6(6)
36
Answer:
36
Step-by-step explanation:
Well, we can do this 2 ways: Distribute first, or do it last.
Distribute First:
12b-24=
12(5)-24=
60-24=
36
Distribute last:
6(2(5)-4)=
6(10-4)=
Now you can take this two ways.
Distribute:
60-24=36
OR
Parenthessess: (I dont know how to spell.)
6(6)=36
Find the perpendicular bisector of the points A(3,6) and B(-1,4). Give your answer in the form
ax + by = c.
Answer:
the equation of the perpendicular bisector of segment AB is y = -2x + 7
Step-by-step explanation:
Going from B(-1, 4) to A(3, 6), x increases by 4 and y increases by 2. Thus, the slope of this line is m = rise / run = 2/4, or 1/2.
Any line perpendicular to the one joining A and B has a slope which is the negative reciprocal of 1/2: that'd be -2.
3 - 1 6 + 4
The midpoint of line segment AB is ( --------- , ---------- ), or (1, 5)
2 2
Thus, the perpendicular bisector passes through the midpoint (1, 5) and has slope -2:
Starting from y = mx + b, we get 5 = -2(1) + b, or 7 = b, and so the equation of the perpendicular bisector of segment AB is
y = -2x + 7
What is the area of the kite
Answer:
The area of the kite is 60 square feet
Step-by-step explanation:
The area of a kite is given as half multiplied by the product of the diagonals.
The longer diagonal measures 30 feet.
The shorter diagonal measures 4 feet.
The area of the kite is; [tex]\frac{1}{2}*30*4=60[/tex]
ANSWER
The area of the kite is 60 square feet
EXPLANATION
The area of a kite is half times the product of the diagonals.
The longer diagonal is 10+20=30 feet.
The shorter diagonal is 2+2 =4 feet.
The area of this kite
[tex] = \frac{1}{2} \times 30 \times 4[/tex]
This simplifies to,
[tex] = 60 {ft}^{2} [/tex]
Therefore the area of the kite is 60 square feet
Which equation represents a line that passes through (4, ) and has a slope of ?
y – = (x – 4)
y – = (x – 4)
y – = 4(x – )
y – 4 = (x – )
Answer:
the 1st one
Step-by-step explanation:
An artist made a 54-inch-tall statue of a former president. If the president was 6 feet tall, what scale did the artist use?
1 foot = 12 inches.
The president is 6 x 12 = 72 inches tall.
54 inch model / 72 inches = 0.75 = 3/4
The model is 3/4 scale.
What is the standard deviation of the following data set rounded to the nearest tenth?
30, 26, 28, 32, 28, 30
Answer:
Standard Deviation is: 2.09762 or rounded to nearest tenth is 2.1
Step-by-step explanation:
the graphs of the linear functions f and g are shown. Enter the solution to the equation f(x)=g(x)
I’m pretty sure the answer is (-4, 4) because when the equations are equal, that is when the points intersect. That happens to be at point (-4,4)
What is 60.38×100 rewritten in equivalent
exspression
Answer:
6038 x 1
or
603.8 x 10
Can someone please help me with this?
Answer:
The answer is A; 19
Step-by-step explanation:
4 × (3/4 - 2/4) + 3 × 6
= 4 × 1/4 + 3 × 6
= 1 + 3 × 6
= 1 + 18
= 19
What type of number is [tex]\sqrt{13}[/tex]
Choose all answers that apply:
(Choice A)
A
Whole number
(Choice B)
B
Integer
(Choice C)
C
Rational
(Choice D)
D
Irrational
The number √{13} is an irrational number because it cannot be expressed as a ratio of two integers and is not a whole number or integer either.
The number √{13} is not a whole number, an integer, or a rational number because it cannot be expressed as a ratio of two integers. The square root of a positive number that is not a perfect square is always irrational. Therefore, the only correct choice for the type of number that represents √{13} is (Choice D) Irrational.
Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4)=1
A. y=-1-4/x
B. y=-e^1/x
C.y=e^(-4/x)
D. None of these
This ODE is separable:
[tex]\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{4y}{x^2}\implies\dfrac{\mathrm dy}y=\dfrac4{x^2}\,\mathrm dx[/tex]
Integrating both sides gives
[tex]\ln|y|=-\dfrac4x+C[/tex]
Given the initial condition [tex]y(-4)=1[/tex] we find
[tex]\ln|1|=-\dfrac4{-4}+C\implies C=-1[/tex]
so that the particular solution is
[tex]\ln|y|=-\dfrac4x-1[/tex]
[tex]\implies y=e^{-(1+4/x)})[/tex]
so the answer is D.