7.solution
v=4/3πr^3
=4/3π×6^3
=4/3×216cm^3π
=288cm^3π
8.solution
SA=4πr^2
=4×6^2π
=4×36cm^2π
=144cm^2π
what is the slope of the equation 3y=9x-6?
Answer:
It's 3
Step-by-step explanation:
Just divide the entire equation by 3 to isolate the y variable on the left side.
y = mx + b (m is the slope)
and in this equation, after you divide by 3, the value of m is 3.
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.
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
I NEED HELP NOWwwwwwww
Answer:
523 cm^3
Step-by-step explanation:
The volume of a sphere is
V = 4/3 pi r^3
V = 4/3 (3.14) (5)^3
V = 523.33333
Rounding to the nearest whole number
V = 523
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:
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 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.
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
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.
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:
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
Picture down below:)
Answer:
the answer is
Step-by-step explanation:
c
Answer:
C
Step-by-step explanation:
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.
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).
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:
eric bought 4 pairs of sports socks for $9. How many pairs of socks can he buy for $13.50.
Answer:
the answer is 6 pair of socks
Step-by-step explanation:
because one pair of socks is 2.25
so 6×2.25 is 13.50
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
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
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 :)
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:
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:
help me please i am confused on what to do
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
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
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:
The perimeter of quadrilateral ABCD is 640. The perimeter of quadrilateral LMNO is 144. What is LM
Answer:
LM = 36
Step-by-step explanation:
A quadrilateral is a shape with 4sides. There are different type of quadrilateral such as square, rectangle, trapezium, parallelogram, kite and rhombus.
Perimeter of a quadrilateral is the addition of all 4 sides.
Since the shape is not specified neither is there a diagram, let's assume the quadrilateral is a square.
See attachment for diagram used in solving the question.
Perimeter of square = length+ length+ length+ length
= 4× length
Perimeter of quadrilateral ABCD:
640 = 4×length
Length = 640/4
Length = 160
Perimeter of quadrilateral LMNO:
144 = addition of all 4 lengths
144 = LM + MN + NO +OL
Since we are considering a square all the sides are equal.
LM = MN = NO = OL
144 = 4×LM
LM = 144/4
LM = 36
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
Ellen mixed \dfrac1{4}\text{ kg} 4 1 kgstart fraction, 1, divided by, 4, end fraction, start text, space, k, g, end text of flour with \dfrac{2}{9}\text{ kg} 9 2 kgstart fraction, 2, divided by, 9, end fraction, start text, space, k, g, end text of sugar.
Question:
Ellen mixed ¼ kg of flour with ²/9 kg of sugar.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete. However, question that are likely to be asked are.
- What's the weight of the total mixture in grams
- What percentage of the mixture is sugar
To solve (1);
We simply add both weights together
But first, the units must be converted to grams.
1kg = 1000 grams
So,
¼kg = ¼ * 1000 g
¼kg = 250 g
²/9kg = ²/9 * 1000
²/9kg = 2000/9
²/9kg = 222.2 g
Add these results
Total = 250g + 222.2g
Total = 472 g
The result can be written in different ways
1. 472 grams
2. About 500 grams
If converted back to kg
472 grams = 472/1000 kg
472 grams = 0.472 kg.
So, the result can also be written as
3. 0.472 kg
4. About 0.5kg (½kg)
To solve (2)
What percentage of the mixture is sugar
To do this, we simply divide the size of sugar by the total size of the mixture.
From (1) above
Sugar = 250g
Total = 472g
Percentage of sugar = 250/472
Percentage of sugar = 0.5297
Percentage of sugar = 0.5297 * 100%
Percentage of sugar = 52.97%
Answer:
1/2
Step-by-step explanation:
I did it and it was write right hope it helps
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).
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!!! :)