Answer:
1.) Circumference of circle A = 131.95 metre
2.) Circumference of circle B = 175.93 metre
3.) Yes. Radius is proportional to the circumference.
Step-by-step explanation: Given that Circle A has a radius of 21 meters and Circle B has a radius of 28 meters
Circumference of a circle = 2πr
For circle A
Radius r = 21
Circumference = 2 × 3.143 × 21
Circumference = 131.95 metre
For circle B
Circumference = 2 × 3.143 × 28
Circumference = 175.93 metre
Is the relationship between the radius of a circle and the distance around the circle the same for all circles? YES
Because the radius of the circle is proportional to the distance around them ( circumference ) for all the circle. That is, the larger the radius, the larger the circumference
The owner of a coffee shop compared the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. Her data are shown in the scatter plot below. If these data are modeled by the line y = -5.9x + 850, which statement best describes a valid prediction the owner could make?
Picture of the question is attached below.
Answer: B.) For each temperature decrease of 10°F, the shop can expect to sell about 6 fluid ounces more of hot coffee.
Step-by-step explanation:
The model depicted by the line equation:
y = -5.9x + 850 shows a strong negative linear relationship between the amount of hot coffee per day, in fluid ounces, sold and the daily high temperature, in degrees Fahrenheit, per day. This means that the sale of hit coffee decreases with increasing temperature daily, which makes sense. From the plot and line model equation, the shop can expect to sell about 6 fluid ounces less of hot coffee for each temperature ruse of 10F.
-5.9x approximately -6x decrease for every 10F temperature increase.
David rolls a number cube fifty times. The number 4 comes up twelve times. The number 3 comes up eight times. What is the experimental probability of rolling a 3 or 4? *
1 point
20%
30%
40%
50%
Answer:
40%.
Step-by-step explanation:
Prob( Rolling a 4) = 12/50
Prob( Rolling a 3) = 8/50
When the combined probabilities contain an 'OR' we Add the probability values:
Probability of a 3 or a 4
= 12/50 + 8/50
= 20/50
= 2/5
= 40%.
The correct answer is C, 40%.
what is the answer to 22% of 49.6?
Answer:
10.912
Step-by-step explanation:
0.22*49.6=10.912
Answer:
the answer is 225.45
Step-by-step explanation:
49.6 ÷ 22% =
49.6 ÷ (22 ÷ 100) =
(100 × 49.6) ÷ 22 =
4,960 ÷ 22 ≈
225.454545454545 ≈
225.45
A spinner with seven equal sized sections was used to play a game It was used 250 times in the first game Of those 250 the arrow landed on section 7 a total of 35 times The same spinner was used 150 times in the second game How many times did the spinner most likely land on section 7 in the second game A. 14 B. 21 C. 30 D. 35
Answer: 21
Step-by-step explanation:
From the question, a spinner with seven equal sized sections was used in playing a game. The spinner was used 250 times in the first game and the arrow landed on section 7 a total of 35 times. This can be expressed as:
= 35/250
= 0.14
The same spinner was also used 150 times in the second game. The number of times the spinner will most likely land on section 7 in the second game will be:
= 0.14 × 150
= 21
The spinner most likely land on section 7 in the second game for 21 times.
What is the result of substituting for y in the bottom equation?
y = x + 3
y = x2 + 2x - 4
Answer:
The correct option is (B).
Step-by-step explanation:
We need to find the result of substituting for y in the bottom equation.
Equation (1) is : [tex]y=x+3[/tex]
Equation (2) is : [tex]y=x^2+2x-4[/tex]
Put the value of y form equation (1) to equation (2) such that,
[tex]x+3=x^2+2x-4[/tex]
It can be seen from the above equation, that option (2) is same as above equation.
Hence, the correct option is (B).
A square can also be classified as which of the following?
rhombus
rectangle
parallelogram
trapezoid
quadrilateral
Thanks gamers
Answer:
Step-by-step explanation:
A square is a rhombus, rectangle, parallelogram, and quadrilateral. So basically it is everything accept for a trapezoid. It has all equivalent sides so it is a rhombus. It has all right angles so it is a rectangle, it has four sides so it is a quadrilateral, and opposite sides are equal so it is a parallelogram. Hope it help's! ;)HELP PLEASE
write down a formula for the nth term of these patterns. The first term is n = 1.
14 ,23 ,32 ,41, 50 = nth term = ?????????
-4, -11, -18, -25, -32 = nth term = ???????????
Answer:
1st one= n9+5
2nd one=n×-7+3
Please help ASAP! I will mark Brainliest! Please READ the question THEN answer CORRECTLY! No guessing!
Answer:
B. The graph contains [tex](1,\frac{1}{10})[/tex].
Step-by-step explanation:
I graphed the equation on the graph below The line goes through the point (1, 1/10).
The value of a car decreases as shown in the table below.
A 2-column table with 6 rows. The first column is labeled years after purchase with entries 0, 1, 2, 3, 4, 5. The second column is labeled value (dollar sign) with entries 25,000; 18,000; 14,000; 10,500; 8,000; 6,000.
Which statements are true? Check all that apply. in edge
The function that best represents the data is f(x) = 24,512(0.755)x.
The function that best represents the data is f(x) = 554x2 – 5,439x + 24,600.
The function decreases indefinitely.
It is reasonable to interpolate to the value of the car at 4.5 years.
It is reasonable to extrapolate to 40 years.
Answer:
A,C, and D on edge
Step-by-step explanation:
trust me just took the test
Answer:
if you doing edg, the answer is a c and d
Step-by-step explanation:
Four students were asked to label angles in pairs of triangles. Their drawings are shown below. Tatyanna Triangle A B C. Angle B is 54.3 degrees and angle C is 61.2 degrees. Triangle X Y Z. Angle Z is 64.5 degrees and angle Y is 54.3 degrees.[Not drawn to scale] Simon Triangle A B C. Angle A is 63.2 degrees and angle B is 58.4 degrees. Triangle X Y Z. Angle Z is 63.2 degrees and angle Y is 58.4 degrees.[Not drawn to scale] Anders Triangle A B C. Angle A is 59.8 degrees and angle B is 60.6 degrees. Triangle X Y Z. Angle X is 59.8 degrees and angle Z is 60.6 degrees.[Not drawn to scale] Kai Triangle A B C. Angle B is 60.9 degrees and angle C is 57.7 degrees. Triangle X Y Z. Angle X is 61.4 degrees and angle Z is 57.7 degrees. [Not drawn to scale] Which student labeled the triangles such that Triangle A B C is similar to X Y Z? Tatyanna Simon Anders Kai
Answer: I’m confident with Kai being the correct answer
Kai labeled the triangles such that ΔABC is similar to ΔXYZ.
What is a triangle?A triangle is a two-dimensional geometrical figure that has three sides, three vertices, and three interior angles.
As per Tatyanna:
In ΔABC, ∠B = 54.3°, ∠C = 61.2°
Therefore, ∠A = 180° - (54.3° + 61.2°) = 64.5°
In ΔXYZ, ∠Z = 64.5°, ∠Y = 54.3°
Therefore, ∠X = 180° - (64.5° + 54.3°) = 61.2°
As per Simon:
In ΔABC, ∠A = 63.2°, ∠B = 58.4°
Therefore, ∠C = 180° - (63.2° + 58.4°) = 58.4°
In ΔXYZ, ∠Z = 63.2°, ∠Y = 58.4°
Therefore, ∠X = 180° - (63.2° + 58.4°) = 58.4°
As per Anders:
In ΔABC, ∠A = 59.8°, ∠B = 60.6°
Therefore, ∠C = 180° - (59.8° + 60.6°) = 59.6°
In ΔXYZ, ∠X = 59.8°, ∠Z = 60.6°
Therefore, ∠Y = 180° - (59.8° + 60.6°) = 59.6°
As per Kai:
In ΔABC, ∠B = 60.9°, ∠C = 57.7°
Therefore, ∠A = 180° - (60.9° + 57.7°) = 61.4°
In ΔXYZ, ∠X = 61.4°, ∠Z = 57.7°
Therefore, ∠Y = 180° - (61.4° + 57.7°) = 60.9°
Therefore, the sequence and the value of the angles for ΔABC and ΔXYZ matches only with Kai's drawings.
Therefore, as per his drawings, ΔABC and ΔXYZ will look similar.
Learn more about a triangle here: https://brainly.com/question/22483552
#SPJ3
2 rectangular prisms. One prism has a length of 6 meters, width of 5 meters, and height of 5 meters. The other prism has a length of 4 meters, width of 5 meters, and height of 7 meters.
What is the volume of the figure?
116 m3
190 m3
290 m3
390 m3
Answer:
the answer is 290 m3 i hope you guys have a good day today <3
Answer:
C
Step-by-step explanation:
edge
At a camp, kids can choose swimming, art, or music.
40 kids choose swimming, 16 choose art, and 24 choose music.
What is the ratio of kids who choose art to kids who choose swimming?
Answer:
3:5
Step-by-step explanation:
all figures can be divided by 8, so
swimming- 40/8= 5
arts 16/8= 2
music 24/8= 3
therefore, the ratio would be 3:5
Answer:
3/5
Step-by-step explanation:
I took it but got it wrong so i did the math problem and got this 3/5
5x + 12 = 3 + 6x what is the answer
Answer:
x=9
Step-by-step explanation:
5x+12=3+6x
Subtract 5x on both sides to get the variable on the same side of the equation
12=3+x
Subtract 3 on both sides to isolate the variable
9=x
Answer:
x=9
Step-by-step explanation:
5x+12=3+6x
We can subtract 5x from both sides of the equation.
5x+12=3+6x
-5x -5x
We get 12=3+x
We can subtract 3 from both sides.
12=3+x
-3 -3
We get 9=x or x=9.
x=9
Which of the following are in the correct order from least to greatest?
2 pi, StartFraction 7 pi Over 6 EndFraction, 80°, StartFraction pi Over 4 EndFraction, 38°
38°, 80°, StartFracton pi over 4 EndFraction, StartFraction 7 pi Over 6 EndFraction, 2 pi
38°, StartFraction pi Over 4 EndFraction, 80°, StartFraction 7 pi Over 6 EndFraction, 2 pi
2 pi, 38°, 80°, StartFraction pi Over 4 EndFraction, StartFraction 7 pi Over 6 EndFraction
Answer:
C is the Answer
Step-by-step explanation:
38, pi over 4=45, 7 pii over 6 =210, 360 en degres. from the least to greatest
Answer:
C on E2020
Step-by-step explanation:
Have a Great day!!! :)
PLEASE HELP I"M BEING TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which expression is equivalent to log Subscript 12 Baseline StartFraction x Superscript 4 Baseline StartRoot x cubed minus 2 EndRoot Over (x + 1) Superscript 5 Baseline EndFraction?
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x times 1)
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline StartFraction x cubed Over 2 EndFraction minus 5 log Subscript 12 Baseline 1
log Subscript 12 Baseline 4 x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x) + 1
4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Answer:
[tex]D)4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
(4 log Subscript 12 Baseline x + one-half log Subscript 12 Baseline (x cubed minus 2) minus 5 log Subscript 12 Baseline (x + 1)
Step-by-step explanation:
Given the expression:
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}[/tex]
first apply the division law of logarithm:
[tex]log_{a}x/y=log_{a}x-log_{a}y[/tex]
[tex]log_{12}\dfrac{x^4\sqrt{x^3-2} }{(x+1)^5}=log_{12}x^4\sqrt{x^3-2}-log_{12}(x+1)^5[/tex]
Next, by addition law:[tex]log_{a}xy=log_{a}x+log_{a}y[/tex]
[tex]=log_{12}x^4+log_{12}\sqrt{x^3-2}-log_{12}(x+1)^5\\\\Log a^m=mLog a, Log \sqrt{x}=log x^{1/2}\\\\ =4log_{12}x+log_{12}(x^3-2)^{1/2}-5log_{12}(x+1)\\\\=4log_{12}x+\frac{1}{2} log_{12}(x^3-2)-5log_{12}(x+1)[/tex]
Answer:
Its D on edge
Step-by-step explanation:
what is the answer for log 3 9 =
Answer:
The answer is 2
Step-by-step explanation:
log
3(
9)
3 to what power is equal to 9?
Since 3^2=
9,
log
3
(
9)=2
Hope this helps!
Please mark brainliest :)
The carrying capacity of a biological species in an environment is the maximum population size of the species that the environment can sustain indefinitely, given the food, habitat, water, and other necessities available in the environment. Why is a population that overshoots the carrying capacity can only do so for a limited amount of time?
Answer:
A population that overshoots the carrying capacity can only do so for a limited amount of time because: since the ecosystem already has the maximum number it can take for a given specie, overshooting the ecosystem will not last long as:
1. Competitions for the limited available space and resources will result to increase death rate and emigration from the environment.
2. Birth rate would be controlled as the rate resources are used is greater than they are replenished. This limits productivity among species.
Step-by-step explanation:
The carrying capacity of an environment, in simple terms is the amount of a given specie that the environment can sustain without depleting or degrading the available resources. Population size of an environment increases if birth rate increases and death rate decreases, and if the environment also experience an increase in species coming to live there than they are leaving the environment. In other words, when resources are limited it affects the population size of an environment.
PICK ME!!
How do you use congruence and similarity criteria to prove relationships in geometric figures?
Answer:
Well, as it turns out, when two figures are similar or congruent, they have certain properties, and these properties can be used to prove relationships between the figures. When two figures are similar figures, they have the following properties: Corresponding angles have equal measure.
Step-by-step explanation:
The space shuttle travels at about 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to reach Saturn from Earth
Answer:
3928 hours
Step-by-step explanation:
PLEASE HELP ASAP!!!!!!!!
Write the first five terms of the sequence defined by the function below.
Answer:
The first 5 terms are;
-2, 2, 13,38 and 91
Step-by-step explanation:
Here, we want to write the first 5 terms of the sequence.
We already have the first term as 1
Now, we need the 2nd term
Putting two in place of n, we have ;
2f(1) + 3n
= 2(-2) + 3(2) = -4 + 6 = 2
For the 3rd term, put 3 in place of n
2f(2) + 3(3)
sine f(2) = 2, we have
2(2) + 9 = 4+ 9 = 13
For the fourth term, put 4 in place of n, we have
2f(3) + 3(4)
since f(3) = 13
we have; 2(13) + 12 = 26 + 12 = 38
For the 5th term, put 5 in place of n, we have
2f(4) + 3(5)
since f(4) = 38, we have
2(38) + 15 = 76 + 15 = 91
Picture down below:)
Answer:
the answer is
Step-by-step explanation:
c
Answer:
C
Step-by-step explanation:
Find the volume of the cone. Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and round your final answer to the nearest hundredth.
Answer:
Volume of the cone = 130.83 cubic units
Step-by-step explanation:
The question us incomplete without the diagram of the cone and it's dimensions as this would enable us get the exact answer.
Find attached the diagram used in solving the solution.
Volume of cone = ⅓ πr²h
Radius = r = 5 unit
Height = h = 5 unit
π = 3.14
By inserting the values of each variables, we have:
Volume of cone = ⅓ × 3.14× (5)² × 5
= ⅓ × 3.14× 25×5 = ⅓ × 3.14×125
Volume of cone = (392.5)/3
Volume of cone = 130.8333
Volume of cone = 130.83 cubic units (to the nearest hundredth)
Volume of cone = 130.83 unit³
Identify the slope and yintercept of the function y= -2x+ 3.
Answer:
The slope is -2 and the y-intercept is 3
Step-by-step explanation:
The equation d = 2t + 8 gives d, the total depth in inches of accumulated snow based on t, the time in hours since a storm began. Using this equation, how much snow can be expected to fall with each additional hour?
Answer:
It is expected to fall 2 inches of snow for each additional hour.
Step-by-step explanation:
As we want to find the amount of snow that will fall for each additional hour, we just need to use slope of the equation.
The slope is the value '2' that is together with the variable 't', and it means that if we increase the value of t by 1 unit, the value of d will increase by 2 units.
So we have that for each additional hour, it is expected to fall 2 inches of snow.
Can the distributive property be used to rewrite
6 x (8 - 4) ?
Yes
No
If yes, fill in the blanks below.
6 x
8 -
(OⓇD) - (x)
Answer:
I think No
Step-by-step explanation:
Evaluate the following, expressing your result as a simplified fraction:
3
-0.4+
4
Answer:
6.6
Step-by-step explanation:
If the problem is 3-0.4+4, I subtracted 0.4 from 3 which I got 2.6 then added the 4 giving me the answer
Answer:
Step-by-step explanation:
5 x 10 to the 6th power is how many times larger than 5 x 10 to the 4th power. PLEASE RESPOND FAST
Answer:
5 x 10 to the 6th power is 5,000,000
5 x 10 to the 4th power is 50,000
5,000,000 / 50,000 = 100
it is 100 times larger
Step-by-step explanation:
please help me simplify 4^8/4^5
Answer:
64
Step-by-step explanation:
64
Hope it helped!
Answer:
64
Step-by-step explanation:
4^8/4^5
we know that
4^8 = 65536
4^5 = 1024
Now,
65536/1024 = 64
what is the lowest common multiple of 12 and 16
Plzzzzzzz help In the number 3.9928, how does the value of the 9 in the tenths place compare to the value of the 9 in the hundredths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 9 in the tenths place is the value of the 9 in the hundredths place.
Answer:
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
Step-by-step explanation:
The decimal we are considering is 3.9928
The 9 in the tenth place has a value of 0.9
The value of 9 in the hundredth place has a value of 0.09
Now, what fraction of the 9 in the tenth place is the 9 in the hundredth place.
To mathematically get this, we just need to place the value of 9 in the hundredth place over the value of 9 in the tenth place;
Mathematically, that would be;
0.09/0.9 = 0.1 = 1/10
This means that the value of 9 in the hundredth place is 1/10 the value of 9 in the tenth place
or
The value of 9 in the tenth place is 10 times the value of 9 in the hundredth place
