To find the area of a circle with a diameter of 6, divide the diameter by 2 to get the radius, then use the formula Area = πr² with the calculated radius, resulting in an area of 28.26.
Using either the exact value of π (pi) or its approximation 3.14, we substitute the radius into the formula to calculate the area.
Using π, the area is:
A = π(3)² = 9π
Using the approximation of 3.14 for π, the area is:
A = 3.14(3)² = 3.14(9) = 28.26
So, the area of the circle is either 9π square units or approximately 28.26 square units if you use 3.14 for π.
Option 2: Senator Kennedy's Initiative proposed extending the school day by 30%-a radical increase. If each 6-hour
school day were extended according to Senator Kennedy's plan, each day would be how many hours?
Answer: ok
Step-by-step explanation:
what does 2(5*-3) =
Answer:
[tex]-30[/tex]
Step-by-step explanation:
Step 1: Multiply inside the parenthesis
[tex]2(5 * -3)[/tex]
[tex]2(-15)[/tex]
Step 2: Multiply
[tex]2(-15)[/tex]
[tex]2 * -15[/tex]
[tex]-30[/tex]
Answer: [tex]-30[/tex]
What is the ratio of the volume of Sphere A to the volume of Sphere B
Answer:1
Step-by-step explanation:
To find the ratio of the volume of sphere A to B
We get
A:B
V=4/3πr^3:4/3πr^3
4/3πr^3×3/4πr^3
Ratio of A to B
=1
Answer: 27
Step-by-step explanation:
In a research study, one third of the volunteers received drug A, one third received drug B, and one third received a placebo. Out of all the volunteers, 15% received drug A and got better, 9% received drug B and got better, and 10% received the placebo and got better. What is the conditional probability of a volunteer getting better if they were given the placebo? please help! 100 pts
it is 10% because 10 percent got better in the experiment
Barney is an ecologist who studies the change in the tiger population of Siberia over time.
The relationship between the elapsed time t, in decades, since Barney started studying the population, and the
number of tigers, N(t), is modeled by the following function:
N() = 710 (35)
Complete the following sentence about the rate of change in the tiger population. Round your answer to two
decimal places.
The tiger population loses
3/5
of its size every____ decades
The tiger population loses approximately 3/5 of its size every 97.14 decades.
Explanation:The rate of change in the tiger population can be determined by examining the equation N(t) = 710(35). The coefficient of 35 represents the exponential growth factor of the population, which can be interpreted as the population multiplying by 35 over each time period.
To determine the rate of change in terms of the percentage size lost, we can calculate the fractional change by subtracting 1 from the growth factor. In this case, 35 minus 1 equals 34. The percentage size lost can then be calculated by dividing the fractional change by the growth factor and multiplying by 100, giving us (34/35) x 100 = 97.14%.
Therefore, the tiger population loses approximately 3/5 of its size every 97.14 decades.
What should you do to get the two terms with variables on the left side of the equation?
Answer:
Either divide or multiply
Answer: you would subtract 3/4 from both sides of the equation
Step-by-step explanation:
Ava has a bag with 3 red, 2 blue, and 11 green beads.
She selects a bead at random. What is the probability that Ava does not select a green bead?
Answer:
5/16 or 31.25%
Step-by-step explanation:
There are 16 beads altogether 11 are green and the rest aren't so there for is 5 out of 16 chance green won't be selected
Answer:
5/16
Step-by-step explanation:
A fair 6 numbered die is rolled. What is the probability that the number rolled is greater that 3
Answer:
½
Step-by-step explanation:
Greater than 3: 4,5,6
3/6 = 1/2
Answer:
1/2
Step-by-step explanation:
there is 6 numbers and 3 numbers greater than 3. so put that in fraction form 3/6 then simplify to 1/2
Use the table to work out the values of a, b, c, and d.
y= 32 +1
-2
–5
-1
ъ
1
с
d
2
a=
b =
c=
d =
1
The question involves using the quadratic formula where a=1, b=0.0211, and c=-0.0211 to find the two possible values for d.
Explanation:To solve for the values of a, b, c, and d using the given information, we can identify the quadratic formula, which is expressed as:
x = (-b ± √(b² - 4ac)) / (2a)
Given that a = 1, b = 0.0211, and c = -0.0211, we can substitute these into the formula to find the value for x, which could represent d in this case:
x = -0.0211 ± √(0.0211² - 4(1)(-0.0211)) / 2(1)
This simplifies to:
x = -0.0211 ± √(0.00044421 + 0.0844) / 2
From this, we can calculate the two possible values for d.
A circle is shown. Secants R S and R T intersect at point R outside of the circle. Secant R S intersects the circle at point U. Secant R T intersects the circle at point V. The length of R U is 6, the length of U S is 10, and the length of R V is 8.
If secant segments SR and TR intersect at point R, find the length of VT.
Start by relating the secants and segments theorem to this diagram:
(RS)() = ()(RV)
Substitute values from the diagram into the equation:
(16)() = ()(8)
Solve for VT:
VT =
Answer:
Everything in -> [x]
(RS) [(RU)] = [(RT)] (RV)
(16) [(6)] = [(8+VT)] (8)
VT = [4]
Step-by-step explanation:
I just did the assignment, you're welcome.
Answer:
(RS) [(RU)] = [(RT)] (RV)
(16) [(6)] = [(8+VT)] (8)
VT = [4]
Step-by-step explanation:
Here mi amor
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Which expression is equivalent to log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction?
log Subscript 12 Baseline 8 minus log Subscript 12 Baseline one-half + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
log Subscript 12 Baseline one-half minus log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
log Subscript 12 Baseline one-half divided by log Subscript 12 Baseline 8 + log Subscript 12 Baseline w
correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
Step-by-step explanation:
Here we need to simplify a logarithmic expression and find which expression is equivalent to it . Let's find out:
We have ,
log Subscript 12 Baseline (StartFraction one-half Over 8 w EndFraction) or ,
⇒ [tex]Log_1_2(\frac{\frac{1}{2} }{8w} )[/tex]
We know that : [tex]Log(\frac{a}{b} )=Log(a)-Log(b)[/tex]
⇒ [tex]Log_1_2(\frac{1}{2}) - Log_1_2(8w)[/tex]
We know that : [tex]Log(ab) = Log(a)+Log(b)[/tex]
⇒ [tex]Log_1_2(\frac{1}{2}) -( Log_1_2(8)+Log_1_2(w))[/tex]
Therefore , correct option is B) log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w)
The expression that could be considered equivalent to logSubscript 12 Baseline (StartFraction one-half Over 8 w EndFraction would be:
B). log Subscript 12 Baseline one-half minus (log Subscript 12 Baseline 8 + log Subscript 12 Baseline w) or [tex]Log_{12}(\frac{1}{2}) - (Log_{12}(8) + Log_{12}(w))[/tex]
Given that,
[tex]Log_{12} (\frac{1/2}{8w} )[/tex]
Using the expression,
[tex]Log({\frac{a}{b}) = Log (a) - Log(b)[/tex]
We get,
[tex]Log_{12} (\frac{1/2}{8w} )[/tex]
[tex]= Log_{12}(\frac{1}{2}) - Log_{12} (8w)[/tex]
Using expression [tex]Log(ab) = Log(a) + Log(b)[/tex]
∵ [tex]Log_{12}(\frac{1}{2}) - (Log_{12}(8) + Log_{12}(w))[/tex]
Thus, option B is the correct answer.
Learn more about "Expression" here:
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Round 18.4049629645 to 4 decimal places
what is missing blank
Answer:
-1
Step-by-step explanation:
the y s are decreasing by 3 while the x s are increasing by 2.
brainliest?
Answer:
-1
Step-by-step explanation:
if you look at the pattern, the x's pattern is minus 2, and the y's pattern is minus 3. to find the answer you just continue the pattern.
Hope this helps!
Does it seem fair to you that a hit could be a home run at one stadium but not at others?Explain.
Answer:
No. If standards differ at different sports stadiums, that makes the game unfair for one team or the other. A win at one stadium could be a loss at another. To make the game fair, all facilities should be equal.
Step-by-step explanation:
The unique dimensions and characteristics of each baseball stadium, known as park factors, can impact whether a hit becomes a home run. Although it might seem unfair, it's the same for all teams and is part of the game's complexity. Not only the player's skill but also their knowledge of the park's attributes can influence the outcome of the game.
Explanation:The different sizes and features of baseball stadiums, known as park factors, can impact game dynamics, including whether a hit results in a home run. This is part of the sport's complexity and challenge, as players must adapt their strategies for different venues. It might seem unfair, but it's the same for all teams as they each host and visit various stadiums throughout the season.
In some parks, for example, the distance from home plate to the outfield wall is less, which could make it easier for a hit to become a home run. In contrast, larger parks or those at higher altitudes, where the air is thinner and ball travels further, might be tougher to score a home run.
All these make baseball a fascinating sport, where not only the player's skill but also nuanced aspects like knowledge of the park play an essential role in the outcome of the game. Thus, by definition, a home run is still a successful hit, but where that hit ends up can depend on numerous variables, including the park's attributes.
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2.457 x 10^5 in standard form.
Answer:
245700
Step-by-step explanation:
2.457×10^5
Which means that the decimal point will be moved to the right side 5 times
Which means that
2.457×10^5
=245700
Or
It can also be written as 2.457×100000
It will give
245700
Answer:
245700
Step-by-step explanation:
2.457 × 10⁵
2.457 × 100000
245700
The dot plot shows the number of raffle tickets bought by each person.
Number of Raffle Tickets Bought
A dot plot going from 0 to 5. 0 has 4 dots, 1 has 0 dots, 2 has 4 dots, 3 has 6 dots, 4 has 3 dots, 5 has 5 dots.
Where is the peak of the dot plot?
A. 1
B. 3
C. 5
D. 6
The peak of the dot plot with the given data set is: B. 3
What is a Dot Plot?A dot plot is a graphical tool used to represent data set that do not have ranges.Each dot represents a data point.The peak of a dot plot is where you have the more frequency of a data point.Therefore, the peak of the dot plot with the given data set is: B. 3
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Use the number line to show 2\3 divided by 1\12.
What is the quotient?
Step-by-step explanation:
[tex] \frac{2}{3} \div \frac{1}{12} \\ \\ = \frac{2}{3} \times \frac{12}{1} \\ \\ = \frac{2}{1} \times \frac{4}{1} \\ \\ = 8[/tex]
The quotient of the division is 8. It is shown on a number line.
What is a number line?A number line is a representation of real numbers in the form of a graded straight line.
The given expression is 2/3 ÷ 1/12.
Simplify the expression as follows:
2/3 ÷ 1/12
=2/3 × 12
= 2 ×4
= 8
Hence, the quotient of the division is 8. It is shown on a number line.
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Casandra finds a treasure chest packed with metallic coins.The chest has a volume of 0.25 m3. The coins have a combined mass of 4825 kg. Hoping to find gold, she calculates the density to determine the metal of the coins. What kind of the coins made of
Missing information
Options
What kind of metal are the coins made of?
Bronze (8700 kg per cubic meter)
Silver (10500 kg per cubic meter)
Lead (11300 kg per cubic meter)
Gold (19300 kg per cubic meter)
Answer:
Gold
Step-by-step explanation:
Density is mass per unit volume of an object hence calculated as
d=m/v
Where m is the mass of an object, v is the volume and d is rhe density.
Substituting 4825 Kg for m and 0.25 m3 for v then
D=4825/0.25=19300 kg/m3
From the options given, this density is equivalent to that of gold.
Can you answer part B? I will mark you as brainliest
Answer:
The fraction is 2/10
Step-by-step explanation:
find missing angle..x=??
Answer:
X=147°
Step-by-step explanation:
Angle on a straight line is 180
And x,33 is given on a straight line
It will be solved as
X+33=180
Substrate 33 from both sides
X=147°
Therefore x=147°
is 26/7 a rational number
Answer:
Yes.
Step-by-step explanation:
26/7 is a rational number since it can be represented in the form p/q where q is not equal to 0.
Answer:
Step-by-step explanation:
No it is not, 26/7 is 3.714285714285714... which is going on. This makes it irrational. If it had an end or if it were repeating, it'd be a rational number.
Can you solve for x please.
Answer:
3/4
Step-by-step explanation:
Multiply both sides by x
2x/3 = 1/2
Multiply both sides by 3
2x = 3/2
Divide both sides by 2
x = 3/4
can 60/5 be simplified
To simplify the fraction, we can divide.
60 / 5 = 12
Best of Luck!
Answer: yes
Step-by-step explanation: 60 divided by 5 is 7
a rectangles perimeter and area have the same numerical value. the width of the rectangle is 3 units . what is the length of the rectangle in units?
Answer:
6
Step-by-step explanation:
Answer:
The length is 6
Step-by-step explanation:
P= L+ L + W+ W
P = L + L + 3 x 3
P = L + L + 6
We check A and enter below.
P = 12-6 + 18-6 = 18
A = L x W = 18
A = L x 3 = 18
A = 6 x 3 =18
The coned shaped room has a height of 15 ft and a radius of 72. Find the volume
Answer:
81430.08
Step-by-step explanation:
Final answer:
The volume of a cone with a height of 15 ft and a radius of 72 ft is found using the formula V = (1/3)πr²h, and the calculated volume is approximately 81457.9 cubic feet.
Explanation:
The question is asking to find the volume of a cone, which has a height of 15 ft and a radius of 72 ft. The formula to calculate the volume of a cone is V = (1/3)πr²h, where 'V' represents the volume, 'r' is the radius of the base, and 'h' is the height of the cone.
To solve for the volume:
V = (1/3)π(72 ft)²(15 ft)
V = (1/3)π(5184 ft²)(15 ft)
V = (1/3)π(77760 ft³)
V = 25920π ft³
Therefore, the volume of the cone is approximately 25920π cubic feet, or when π is approximated as 3.14159, the volume is about 81457.9 cubic feet.
Find the surface area of the rectangular prism with l=15m, w=16m and h=4. im confused pls help me
Answer:
surface area= 728
please give me brainliest!! :)
Step-by-step explanation:
A = 2 ( w*l + h*l + h*w )
2 · ( 16 · 15 + 4 · 15 + 4 · 16 ) = 728
NUMBER 10 PLS SOLVE
Answer:
D
Step-by-step explanation:
Answer:
Option C: Multiply 15 ft by 12 in/1 ft and 2.54 cm/1 in
Step-by-step explanation:
to convert feet to centimeter, we first convert to inches and from iches to centimeter
1 feet = 12 inches and 1 inches = 2.54 cm
∴ 15 feet = 180 inches and 180 inches = 457.2
This means to convert from feet to centimeter
Multiply 15 ft by 12 in/1 ft and 2.54 cm/1 in
Marty and Juan took turns driving a cargo truck. The ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty. How many miles did Marty and Juan drive in all?
The total miles are 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7 and Juan drove 150 more miles than Marty.
Step-by-step explanation:
The given is,
Ratio of the miles Marty drove to the miles Juan drove is 6 to 7
Juan drove 150 more miles than Marty
Step:1
Calculate the difference in the ratio of the miles Marty drove to the miles Juan drove,
X = 7-6 = 1
Calculate the difference in the miles of Marty drove to the miles of Juan drove,
X = 150 ( Juan drove 150 more miles than Marty)
Equate the Difference between ratio and miles,
From the above values,
X = 150 miles
Step:2
From the ratio of Marty : Juan = 6 : 7
Distance drove by Marty,
= 6X = ( 6 × 150 ) = 900
Distance drove by Marty = 900 miles
Distance drove by Juan,
= 7X = ( 7 × 150 ) = 1050
Distance drove by Juan = 1050 miles
Step:3
Check for solution,
Difference in the miles of Marty drove to the miles of Juan drove
150 = 1050 - 900
150 = 150
Result:
The total miles are is 1950 miles. Marty drove 900 miles and Juan drove 1050 miles, if the ratio of the miles Marty drove to the miles Juan drove is 6 to 7. Juan drove 150 more miles than Marty
Find the median for the frequency table above
Answer:3
Step-by-step explanation:
the median is always the middle number
hope this helps.
What is the mode of the following set of numbers? 15, 20, 18, 20, 15, 20 A 20 B 18 C 5 D 19 .
Answer:
A
Step-by-step explanation:
Mode is the one that appears the most. The number that is there the most is 20 that makes it the mode.
The correct answer is A. 20.
To find the mode of a set of numbers, one must identify the number that appears most frequently in the list. In the given set of numbers: 15, 20, 18, 20, 15, 20, we can see that the number 20 appears three times, which is more frequent than any other number in the set. The number 15 appears twice, while the numbers 18 and 20 each appear once. Since 20 is the number with the highest frequency, it is the mode of the set.
Therefore, the mode of the given set of numbers is 20.