Answer:
14.18 cm
Step-by-step explanation:
Area = pi r^2
sqrt ( area/pi) = r
diameter is 2 x r and circumference is pi * d
circumference pi * 2 * ( sqrt area/pi) = 14.18 cm
1. We know if just one dimension of a 3-D figure is 4 times longer, the volume is 4 times longer. If all three dimensions change to be 4 times longer, how many times larger is the volume?
Using proportions, it is found that the volume is 64 times larger than the volume of the original figure.
What is a proportion?A proportion is a fraction of a total amount.
In this problem, each of the 3 dimensions will be four times greater, hence, the change in the volume will be given by:
V = 4³ = 4 x 4 x 4 = 64.
The volume is 64 times larger than the volume of the original figure.
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• What is the solution of 5y + 2 = 42?
y=
Answer:
y = 8
Step-by-step explanation:
Hi there!
We are given the equation 5y + 2 = 42
And we want to solve it for y
To do that, we need to isolate the variable y on one side - we don't want any numbers on the same side as y.
So we need to first get rid of any numbers on the same side as y; we can subtract 2 from both sides to remove it from the left side.
5y + 2 = 42
-2 -2
_______________
5y = 40
Now, we have variables on one side and numbers on another, but we're not done yet, as we want the value of just y, not 5y (that's 5 * y)
So to find the value of just y, divide both sides by 5
5y = 40
÷5 ÷5
________
y = 8
Hope this helps!
Find the distance between the points (-8,-9)and (-3,3)
Answer:
13
Step-by-step explanation:
Use the distance formula and plug in both points
Answer:
its either 11 or 13 im not sure
Step-by-step explanation:
Which probabilities are correct? select two options. p(a|c) = two-thirds p(c|b) = startfraction 8 over 27 endfraction p(a) = startfraction 31 over 59 endfraction p(c) = three-sevenths p(b|a) = startfraction 13 over 27 endfraction
Probability of an event is the measure of its chance of occurrence. The correct probabilities are:
P(A|C) = 2/3P(C) = 3/7How to interpret conditional probabilities?Suppose that the sample space is S. Out of which there are two events, A and B, subsets of S.
Then, we can interpret P(A|B) as the probability of that part of A which is in B, with the new sample space as B. (assuming probabililty of B isn't 0).
Symbolically, we write it as:
[tex]P(A|B) = \dfrac{P(A \cap B)}{P(B)}[/tex]
What is the size of the union of three sets?For three sets, A, B and C:
[tex]n(A \cup B \cup C) = n(A) + P(B) + P(C) - n(A\cap B) - n(A \cap C) - n(B \cap C) + n(A \cap B \cap C)[/tex]
The problem is incomplete. The corresponding venn diagram is attached below.
We can symbolize the venn diagram as:
[tex]n(A) = 12+8+6+5 =31\\n(B) = 11+8+5+3 = 27\\n(C) = 4+8+6+3 = 21\\n(A \cap B) = 5+8=13\\n(B\cap C) = 3+8=11\\n(A \cap C) = 6+8=14\\n(A \cap B \cap C) = 8[/tex]
S = sample space = collection of all unique elements.
S is union of A, B and C.
[tex]n(S) = n(A \cup B\cup C) = 31 + 27 + 21 -13-11-14+8 = 49[/tex]
Checking all the options for their correctness:
P(A|C) = 2/3We have:
[tex]P(A|C) = P(A\cap C)/P(C) = \dfrac{n(A\cap C)/n(S)}{n(C)/n(S)} = \dfrac{n(A \cap C)}{n(C)} = \dfrac{14}{21} =\dfrac{2}{3}[/tex]
Thus, its correct.
P(C|B) = 8/27[tex]P(C|B) = P(C\cap B)/P(B) = \dfrac{n(C\cap B)/n(S)}{n(B)/n(S)} = \dfrac{n(C \cap B)}{n(B)} = \dfrac{11}{27} \neq \dfrac{8}{27}[/tex]
Thus, this option is incorrect.
[tex]P(A) = \dfrac{n(A)}{n(S)} = \dfrac{31}{49} \neq \dfrac{31}{59}[/tex]Thus, this option is incorrect.
P(C) = 3/7[tex]P(C) = \dfrac{n(C)}{n(S)}= \dfrac{21}{49} =\dfrac{3}{7}[/tex]
Thus, its correct.
P(B|A) = 13/27[tex]P(B|A) = P(B\cap A)/P(A) = \dfrac{n(B\cap A)/n(S)}{n(A)/n(S)} = \dfrac{n(B\cap A)}{n(A)} = \dfrac{13}{31} \neq \dfrac{13}{27}[/tex]
Thus, this option is incorrect.
Thus, the correct probabilities are:
P(A|C) = 2/3P(C) = 3/7Learn more about probability here:
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Find cos(B) in the triangle.
B
3
C
4
A
5
Answer:
3/4 = 6/10 = 0.6
Step-by-step explanation:
cos is Division of Adjacent side by hypotenuse
Jill invested $500 in an account with a compound interest rate of 6%. cheryl invests $600 in an account with a compound interest rate of 4%.find out in how many years each doubles her money. using the rule of 72, t = startfraction 72 over r endfraction, what is the difference in the number of years to double their money?
Jill and Cheryl took 12 years and 18 years, respectively, to double their money.
What is Algebra?Algebra is the study of mathematical symbols and the rule involves manipulating these mathematical symbols.
Jill invested $500 in an account with a compound interest rate of 6%.
Cheryl invests $600 in an account with a compound interest rate of 4%.
The number of years each doubles their money. Using the relation of 72.
[tex]\rm t = \dfrac{72}{r}[/tex]
where r is the interest rate and t be the time
The time for the Jill will be
[tex]\rm t = \dfrac{72}{6}\\\\t = 12\\[/tex]
The time for the Cheryl will be
[tex]\rm t = \dfrac{72}{4}\\\\t = 18\\[/tex]
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Please help I will give brainliest.
Answer:
t = 1 sec 5 meters
Step-by-step explanation:
When the object hits the ground , height = 0
0 = (5t+5)(1-t) so t = -1(throw out...can't have negative time value) or 1
As the object is dropped, t = 0 sub that in to the equation
h = (5(0)+5)(1-0) = 5 meters
Which function has an axis of symmetry of x = −2? f(x) = (x − 1)2 2 f(x) = (x 1)2 − 2 f(x) = (x − 2)2 − 1 f(x) = (x 2)2 − 1
The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.
All of these functions start from the same function, f(x) = x^2, which has an axis of symmetry of x = 0.
What is a quadratic function?A quadratic function is the second-order degree algebraic expression in a variable. the standard form of this expression is ax² + bx + c = 0 where a. b are coefficients and x is the variable and c is a constant.
The first function has been shifted 1 unit to the right and 2 units up, which have an axis of symmetry at x = 1.
The second function has been shifted 1 unit to the left and 2 units down, which have an axis of symmetry at x = -1.
The third function has been shifted 2 units to the right and 1 unit down, which have an axis of symmetry at x = 2.
The fourth function has been shifted 2 units to the left and 1 unit down, which have an axis of symmetry at x = -2.
As you can see, the last function has been shifted 2 units to the left, which has an axis of symmetry at x = -2.
Thus, The fourth function, f(x) = (x+2)^2-1 has an axis of symmetry of x = -2.
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Answer:
D. f(x) = (x + 2)2 − 1
Step-by-step explanation:
took the test on edge :)
hi please help thanks!
[tex] \frac{ \frac{15}{4} }{ \frac{1}{5} } = \\ [/tex]
[tex] \frac{15}{4} \div \frac{1}{5} = \\ [/tex]
[tex] \frac{15}{4} \times \frac{5}{1} = \\ [/tex]
[tex] \frac{75}{4} = \\ [/tex]
[tex] \frac{72 + 3}{4} = \\ [/tex]
[tex] \frac{72}{4} + \frac{3}{4} = \\ [/tex]
[tex]18 + 0.75 = [/tex]
[tex]18.75[/tex]
Find three consecutive positive integers such that the product of the first and third, minus the second, is 1 more than 3 times the third.
The smallest integer is ___
Answer:
The smallest integer is 4Step-by-step explanation:
So here this question is of concept linear equations. As in linear equations we assumes the unknown number as an variable after that an equation would be formed which we would solve and get the answer. Here also we would be doing same.!!
Let us assume the first consecutive positive integer as m. Therefore, second and third consecutive number would be (m + 1) and (m + 2) respectively.
Refer to the attachment now.
anyone know? stuck on this question
Answer:
it would be A.2/3
Step-by-step explanation:
I hope this helps if not please let me now
Answer:
Should be A
Step-by-step explanation:
Because of BIDMAS do the division first and then the multiplication.
Do :
8/9 divided by 2/3
so: 8/9 * 3/2 = 24/18
24/18 * 1/2 = 24/36
24/36 simplified is 2/3
Therefore the answer is A
I will give some brainliest if they answer this
Answer:
Given:
Total horses tested = 140Horses that had Lyme disease = 42Horses that had arthritis = 112Let x = number of horses that had BOTH Lyme disease and arthritis.
⇒ (112 - x) + (42 - x) + x = 140
⇒ 154 - x = 140
⇒ x = 14
Therefore, place 14 in the middle overlapping area.
To find the number to place in the left section: 42 - 14 = 28
To find the number to place in the right section: 112 - 14 = 98
The reference angle for 5pie/4 is pie/4, which has a terminal point (sqr2/2,sqr2/2), what is the terminal point of 5pie/4?
Check the picture below.
Which expression represents the volume of the sphere, in cubic units? three-fourthsπ(6)2 four-thirdsπ(6)3 three-fourthsπ(12)2 four-thirdsπ(12)3
The expression that represents the volume of the sphere is (4/3)π(6)³.
The radius of the sphere = 6 units
What is the volume of a sphere?The volume of a sphere with radius r is 4/3πr³.
So, the volume of the given sphere with a radius of 6 units = (4/3)π(6)³
The volume of the given sphere with a radius of 6 units = (4/3)π*216
The volume of the given sphere with a radius of 6 units = 288π cubic units.
Hence, the expression that represents the volume of the sphere is (4/3)π(6)³.
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Answer: B
Step-by-step explanation: edge 2023
help fast!! (no links please.)
Answer:
C) 3.
Step-by-step explanation:
(3^2 + 2^2) - 2(3^2 - 2^2)
= (9 + 4) - 2(5)
= 13 = 10
= 3.
Answer:
C) 3
Step-by-step explanation:
When finding the value for this, we would simply by plugging in the values for the given variables and simplify the equation.
( c^2 + d^2 ) - 2 ( c^2 - d^2 )
( 3^2 + 2^2 ) - 2 ( 3^2 - 2^2 )
( 9 + 4 ) - 2 ( 9 - 4 )
( 13 ) - 2 ( 5 )
( 13 ) - 10
3
How to do this please help
Write an equation and please explain how to do it
PLEASE HELP! WILL GIVE BRAINLIEST!
In this problem, we use your critical values table to explore the significance of r based on different sample sizes.
Answer:
1. A,B,D,E
2. E,A,B,D,C
3.H,A,C,D
Step-by-step explanation:
Which inequalities are true? Select the four correct answers.
O<
0 V8
OVE <3
V> 7
口<2
O /> 8
01
Step-by-step explanation:
Check the attached photo out
Help pleaseeeeee the options are 21,8,28,36,39,14,2,37
So the answer has to be one of those
Explanation:
Use the intersecting chords theorem to find x
JN*NK = MN*NL
(3x+6)*16 = (7x-11)*14
48x+96 = 98x-154
96+154 = 98x-48x
250 = 50x
50x = 250
x = 250/50
x = 5
This means,
JN = 3x+6 = 3(5)+6 = 21
JK = JN+NK = 21+16 = 37
A weather researcher compared average monthly temperature data for
Athens, Greece, and Brussels, Belgium
Madrid Brussels
Mean 59°F 51'F
Range 20.4°F 14.1°F
Based on these data, which statements are true?
O A. On average, Madrid has a higher monthly temperature. Its monthly
temperatures also vary more.
O B. On average, Madrid has a higher monthly temperature. However,
temperatures in Brussels vary more.
C. On average, Brussels has a higher monthly temperature. However,
temperatures in Madrid vary more.
D. On average, Brussels has a higher monthly temperature. Its
monthly temperatures also vary more.
Please please help first answer and the answer is correct will get a brainlist and a 5 star like please help!!! FAST ⚠️
Answer:
A. Madrid has a higher monthly average and its monthly temps vary more.
Step-by-step explanation:
I got this right on the quiz.
If your answer turns out to be wrong it can be due to the answers being mixed and/or i didnt read the chart you gave correctly
my apologies if i get it wrong.
Answer:
A.
Step-by-step explanation:
Erica solved the equation below. 3(a +5)=2a +35 Step 1 3a + 15 = 2a +35 Step 2 5a + 15 = 35 Step 3 5a = 20 Step =4
Answer:
B. Step 2
Step-by-step explanation:
When moving 2a to the left, you would need to subtract, not add. You would get 1a instead of 5a.
I need help with this ?
Answer:
132 cm cubed
Step-by-step explanation:
so if [tex]\pi[/tex] = 3
cylinder 1 = 3 x 2 x 2 x 7 = 84 cm cubed
cylinder 2 - 3 x 4 x 4 x 1 = 48 cm cubed
all together = 84 + 48 = 132 cm cubed
area of this object = 132 cm cubed
Which choice correctly compares the two decimal numbers to hundredths? A) 28.14 > 29.11 B) 28.61 > 28.48 C) 29.13 < 28.37 D) 29.19 < 28.32
Answer:
B) 28.61 > 28.48
Step-by-step explanation:
A is wrong because 28 < 29
B is correct because 0.61 > 0.48
C is wrong because 29 > 28
D is wrong because 29 > 28
I hope this helps!
5.967 is when rounded to the nearest whole number.
Answer:6
Step-by-step explanation:
5.967 is about 6 because 5.9 9 is above 4 so we round up.
what is the volume of the rectangular prism?
Answer:
96
Step-by-step explanation:
L x W x H
8 x 4 x 3 = 96
Which equation is a linear function?
Answer:
B) -5y + 3x = 7 is linear.
Step-by-step explanation:
Since this equation has no exponents on the x or the y, no variable as an exponent, no variable inside a radical, it is a linear function. If you graph it, you will get a line.
Help pls asap!! No links.
Answer:
Step-by-step explanation:
1. Do what is inside the parantheses
[tex]4^{2} +3+2\\16+3+2 = 21[/tex]
[tex]7^{2} +3(21)[/tex]
2. Simplify both terms
[tex]7^{2} =49\\3(21) = 63\\49+63[/tex]
3. Solve
[tex]49+63 = 112[/tex]
Answer:
the answer is 102
Step-by-step explanation:
follow the pemdas explanation
The perimeter of a rectangle is 48 cm. If the length is 14 cm, find its width
Answer:
10
Step-by-step explanation:
Since a rectangle has 2 sets of congruent sides we can set up the equation:
48=2x+2y
We have our x value/length (14) so we can plug that in to the equation.
48=2(14)+2y
Then we have to simplify
48=28+2y
20=2y
Then simply solve for the y value, which is your width
10=y
Which of the following is true about the expression 5^1/4
Answer:
Answer is greater than 1
Includes Fraction
Rational
Step-by-step explanation:
Question 4e Choice Worth 2 )
(03.06 MC)
B В
V
х
у
WD
N
A
What expression represents the value of x?
Ox= ww+z)
Ox=vZ(w+z)
=
Ox=/wy
Ox=WZ
ſ
Answer:
A
Step-by-step explanation:
using the altitude- on- hypotenuse theorem
( leg of large Δ )² = (part of hypotenuse below it ) × ( whole hypotenuse ) , so
x² = w × (w + z) = w(w + z) ← take square root of both sides
x = [tex]\sqrt{w(w+z)}[/tex]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
What is a right-angle triangle?It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The triangles ΔABC and ΔBCD are similar triangles. Then the ratio of the corresponding sides will be constant.
Then the equation is given as,
x / (w + z) = w / x
Simplify the equation for 'x', then the equation is written as,
x / (w + z) = w / x
x² = w × (w + z)
x = √[w(w + z)]
The expression that represents the value of 'x' will be x = √[w(w + z)]. Then the correct option is A.
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