Answer:
420.7
Step-by-step explanation:
The circumference of a circle is 16Pi ft
Area of the circle: 64π ft²
Radius of circle: 8 ft
The circumference formula: C = d · π
We can plug in the values we know.
16π = d · π; We can cancel out the π, as it is on both sides.
d = 16ft; r = 8ft
The area formula: A = πr²
A = 64π ft²
the gravitational attraction between two masses varies inversely as the square of the distance between them. if the attraction force between them is 75lbs when the bodies are eight feet apart, find the attraction when the masses are twelve feet apart
Answer:
33 1/3 lb
Step-by-step explanation:
When the distance between them goes from 8 ft to 12 ft, it is 1.5 times what it was. Then the force will be multiplied by the inverse of the square of this:
(75 lb)×1/(1.5²) = 75/2.25 lb = 33 1/3 lb
At 12 feet apart, the attraction force is 33 1/3 pounds.
Which inequality is true for all real numbers? check all that apply. 1.a – b < a + b 2.ac ≥ bc 3.If a ≥ b, then a + c ≥ b + c 4.If c > d, then a– c < a – d 5.If a < b, then a < b + c
Answer:c and d
Step-by-step explanation:
Statements in the options 3 and 4 are true inequalities.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
Here,
1) a - b < a + b
Here, the statement is not true.
2) ac ≥ bc
Here, the statement is not true.
3) If a ≥ b, then a + c ≥ b + c
Here, the statement is true.
4. If c > d, then a-c < a-d
Here, the statement is true.
5) If a < b, then a < b + c
Here, the statement is not true.
Therefore, options 3 and 4 are correct answers.
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If 2x=4(5−2x), then x =
Answer:
here's your answer
hope this helped you
please mark as the the brainliest(ㆁωㆁ)
Step-by-step explanation:
2x=4(5-2x)2x=20-8x2x+8x=2010x=20x=27р + 8р - 12 = 59 what would this be
Answer:
4.7333....................
Step-by-step explanation:
First combine like-terms. The equation now is 15p-12=59. Next add 12 to both sides. The equation now is 15p=71. Last divide both sides by 15. Now the equation is 4.73333....
Is 8 3/5 greater than 8 6/7
Answer:
no
Step-by-step explanation:
Answer:
8 6/7 is greater than 8 3/5
Step-by-step explanation:
Step 1:
8 3/5 = 8 21/35
Step 2:
8 6/7 = 8 30/35
Answer:
8 6/7 is greater than 8 3/5
Hope This Helps :)
Please help with this
Answer:
x = 14.75
Step-by-step explanation:
I just used the equation 6x + 10 and replaced the x with every single answer choice. Angle B kinda looks like it's close to a 90⁰ angle but a little more so I chose the answer that fit well with my statement.
Sara received 73 votes, Ben received 23 fewer than Sara. How many students voted? How many votes did Ben receive?
A beverage company operates two factories. Their outputs are represented by these expressions, where b is the number of bottles produce
Factory A: 2b3 – 3b2 + b - 120
Factory B: 4b2 – 3b – 260
Which polynomial represents the company's total output?
A. 6b3 – 3b2 - 3b - 140
B. 2b3 - 7b2 + 4b + 140
C 2b3 + b2 - 2b - 380
D. 6b3 – 6b2 + b + 380
Answer:
C 2b3 + b2 - 2b - 380
Step-by-step explanation:
Given:
Factory A: 2b^3 – 3b^2 + b - 120
Factory B: 4b^2 – 3b – 260
The company's total output = factory A + factory B
= (2b^3 – 3b^2 + b - 120) + (4b^2 – 3b – 260)
= 2b^3 – 3b^2 + b - 120 + 4b^2 – 3b – 260
Collect like terms
= 2b^3 – 3b^2 + 4b^2 – 3b + b - 120 - 260
= 2b^3 + b^2 - 2b - 380
C. 2b^3 + b^2 - 2b - 380
Option C is the correct answer
Answer: C) 2b^3+b^2-2b-380
Step-by-step explanation:
I had this question on a recent test and got it right
Hope this helps! :)
3
Which expression is closest in value to 5.66?
Let's consider the standard and usually used value of irrational numbers given in the question.
It is asked to see which is closed to 5.66So, let's see the options:
A) GiveN:
[tex] \dfrac{\pi}{2} + \pi[/tex]
Let consider π = 3.14
[tex] \dfrac{3.14}{2} + 3.14[/tex]
[tex]1.57 + 3.14[/tex]
[tex]4.71 \: (approx.)[/tex]
B) GiveN:
[tex]2\pi - 1[/tex]
Here also, let's consider the value be 3.14
[tex]2 \times 3.14 - 1[/tex]
[tex]6.28 - 1[/tex]
[tex]5.28 \: (approx.)[/tex]
C) GiveN:
[tex]4 \sqrt{2} [/tex]
Let's consider the value of √2 be 1.414
[tex]4 \times 1.414[/tex]
[tex]5.6516 \: (approx.)[/tex]
D) GiveN:
[tex]8 - \sqrt{3} [/tex]
Let's consider the value of √3 be 1.732
[tex]8 - 1.732[/tex]
[tex]6.268 \: (approx.)[/tex]
So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.
So, Correct answer is C
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Lana uses 0.2 pounds of peaches in each mini pie she makes. How many mini pies can she make with 2.50 pound of peaches?
Answer:
12.5 mini pies or 12 depending on what it asks for
Step-by-step explanation:
Divide 2.50 by 0.2 to get 12.5
The answer can also be 12 because some teachers want students to know that you can't really make half a pie. Whatever your teacher prefers.
put these numbers -23, 2, 0.7, 5, 16,0, 3.89, -4 in sections of rational, irrational, whole numbers, and integers
Vocabulary Check:
Integers are numbers that are neither fractions nor decimals.
Rational numbers are numbers that can be written as a fraction, unlike irrational numbers. Whole numbers are counting numbers, including 0.
Integers = -23, 2, 3, 16, 0, -4
Whole Numbers = 0, 2, 3, 16
Rational = -23, 2, 0.7, 5, 16, 0, 3.89, -4
Irrational: None
What do the equations have in common? y = -2 x + -3 y = -2 x + -3
Answer:- the equation have -2x common.
Lisa's age is 4 years older than three times Sammy's age. Lisa is 28 years old. Let s represent Sammy's age. Which equation can be used to solve for Sammy's age?
Answer:
24
Step-by-step explanation:
let Sammy's age be x and Lisa y
since Lisa is 4years older than Sammy
y=x+4
28-4=y
y=24
What is another name for a fraction that as a numerator and a denominator that have the same integer? Your answer This is a required question
Answer:
I think it would be considered 1
Step-by-step explanation:
If you have a fraction that has the same integer for the numerator and denominator, that fraction would equal to 1 because the fraction is completed. As an example, 5/5 is equal to one because there is 5 pieces of the fraction needed to complete it, and there's and available 5. Meaning that there's 5 out of 5 pieces needed to create a whole number which would be 1.
Decimal form: .2 + .2 + .2 + .2 + .2 = 1.0
Written form: 1/5 + 1/5 + 1/5 + 1/5 + 1/5 = 5/5 or 1
6.6 as a mixed number
Which is the best estimate of (Negative three-fifths) (17 and StartFraction 5 over 6 EndFraction)?
Answer:
-9
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Which best describes what is happening in section B
Answer:
Jamal is traveling at a constant speed.
Step-by-step explanation:
because it's a line going straight and not down.
Use the quadratic formula, x=−b±b2−4ac√2a, to solve the equation −2x2−6x+3=0. Match each step to the correct method for solving the equation.
Answer:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
Step-by-step explanation:
We are given the equation:
[tex]-2x^2-6x+3=0[/tex]
And we want to solve it using the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients.
The a is the coefficient in front of the x² term, so a = -2.
b is the coefficient in from of the x term, so b = -6.
And c is the constant so c = 3.
Substitute:
[tex]\displaystyle x=\frac{-(-6)\pm \sqrt{(-6)^2-4(-2)(3)}}{2(-2)}[/tex]
Simplify. -(-6) is just 6. (-6) squared is 36. -4(-2)(3) is 24. And 2(-2) is -4. So:
[tex]\displaystyle x=\frac{6\pm \sqrt{36+24}}{-4}[/tex]
Add:
[tex]\displaystyle x=\frac{6\pm \sqrt{60}}{-4}[/tex]
Simplify the square root:
[tex]\sqrt{60}=\sqrt{4\cdot 15}=\sqrt{4}\cdot\sqrt{15}=2\sqrt{15}[/tex]
So:
[tex]\displaystyle x=\frac{6\pm 2\sqrt{15}}{-4}[/tex]
Simplify by dividing everything by 2:
[tex]\displaystyle x=\frac{3\pm \sqrt{15}}{-2}[/tex]
Move the negative in the denominator to the numerator. The plus/minus sign will not change.
[tex]\displaystyle x=\frac{-3\pm \sqrt{15}}{2}[/tex]
So, our zeros are:
[tex]\displaystyle x=\frac{-3+ \sqrt{15}}{2}\approx0.4365\text{ or}\\x=\frac{-3-\sqrt{15}}{2}\approx-3.4365[/tex]
Sally used 3/4 cup of milk to make pancakes, 5/8 cup of milk to make scrambled eggs, and 1/2 cup of milk to make biscuits. How many cups of milk did Sally use altogether?
Answer:
1 7/8 cups
Step-by-step explanation:
This is a addition problem. You need to add three fractions, so you need a common denominator.
The LCD is 2, 4, and 8 is 8.
3/4 + 5/8 + 1/2 =
= 6/8 + 5/8 + 4/8
= 15/8
= 1 7/8
Answer: 1 7/8 cups
A group of students was asked about favorite colors, and 20% of the students said that their favorite color is red. There are about 3000 students in the school. If the margin of error is ±2%, what is the range of the number of students who likely say that their favorite color is red? List the number of students from least to greatest.
Answer:
18%:540 20%:600 22%:660
Step-by-step explanation:
18%:540 20%:600 22%:660
20-2=18 20+2=22
The required least to the greatest number of students their favorite color is red is 540 and 660 respectively.
Given that,
A group of students was asked about their favorite colors,
20% of the students said that their favorite color is red.
There are about 3000 students in the school.
The margin of error is ±2%,
To determine what is the range of the number of students who likely say that their favorite color is red
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
Total number of students = 3000
Number of students like red color = 20% of 3000 = 0.20 * 3000 = 600
the margin of error ±2% of 3000 = ± 0.02 * 3000 = ± 60
Least number of students their favorite color is red = 600 - 60 = 540
Greatest number of students their favorite color is red = 600 + 60 = 660
Thus, the required least to the greatest number of students whose favorite color is red is 540 and 660 respectively.
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How do you solve the equation -x/3=27
what is 9 times 12 Answer divided by 12 times 8 answer thats it
Answer:
1.125
Step-by-step explanation:
Multiply first
(9*12)/(12*8)
108/96
then divide
1.125
Answer:
72
Step-by-step explanation:
9 × 12 = 108
108 ÷ 12 × 8 = 72
Order from GREATEST to LEAST. 342,645 432,784 324,792 415,675 434,775
Answer:
792, 784, 775, 675, 645, 434, 432, 415, 342, 324.
Find the probability for one roll of a number cube.
P(number is not 5)
A. 0
B. 5/6
C. 1/6
D. 1
Answer:
for 5 probability is 1/6
for not a five = 1-1/6 = 5/6
Step-by-step explanation:
Explain what is wrong with the following (3 - 5)(4) = 3(4) - 5
Answer:
the equation does not proove
Step-by-step explanation:
l.h.s
(3-5)(4)
12-20
-8
r.h.s
3(4)-5
12-5
7
therefore, l.h.s is not equal to r.h.s so the equation is wrong
When 8 is added to four times a number the result is 80 find the number
Answer:
18
Step-by-step explanation:
8+4x=80
4x=72
x=18
Check
8+4x=80
8+4(18)=80
8+72=80
80=80
Is 0.843 less than 0.846
Answer:
0.003
Step-by-step explanation:
6-3 =3 and 4-4 = is 0 and 8-8= 0 so the answer is 0.003
If you flip a coin ten times and get tails three times; what is the experimental probability of getting heads?
Answer:
50 goes to 25 to 12.5 then 6.25%
Step-by-step explanation:
i hope i helped
Can someone help me with 5 and 6?
Answer:
5.
[tex]\left(8-6\right)^5\cdot \:2^{-4}+2^0[/tex]
Subtract 8 - 6 = 2:
[tex](2)^5\cdot \:2^{-4}+2^0[/tex]
Anything to the power of 0 is 1. (Except 0):
[tex]2^5\cdot \:2^{-4}+1[/tex]
Multiply:
[tex]2^{5-4}+1[/tex]
[tex]2^1+1[/tex]
[tex]2+1[/tex]
[tex]3[/tex]
6.
[tex]\frac{\left(9-1\right)^5}{\left(6+2\right)^3}[/tex]
Solve the brackets: 9 - 1 = 8 and 6 + 2 = 8:
[tex]\frac{8^5}{8^3}[/tex]
[tex]8^{5-3}[/tex]
[tex]8^2[/tex]
(or [tex]64[/tex] for exact value)