Since mass is neither created nor destroyed, the missing items are;
a = 242b = 96c = 1d = 0What is nuclear reaction?The term nuclear reaction has to do with the transformation of one nucleus to another. On this case, we are going to transform P u to c m.
Since mass is neither created nor destroyed, the missing items are;
a = 242b = 96c = 1d = 0Learn more about nuclear reaction: https://brainly.com/question/25455333?
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Answer:
A: 242
B: 96
C: 1
D: 0
Step-by-step explanation:
sin C = AB/??
BA
AC
BC
AB
Answer:
AC
Step-by-step explanation:
sin C = opp/hyp
For angle C, the opposite leg is AB. The hypotenuse is AC.
sin C = AB/AC
Answer:
ACStep-by-step explanation:
Sin of an angle refers to the ratio between the opposing side and the hypotenuse.
sin C = AB/ACUse the properties of logarithms to write the logarithm in terms of
log3(2) and log3(5).
log3(18/25)
[tex]\begin{array}{llll} \textit{Logarithm of exponentials} \\\\ \log_a\left( x^b \right)\implies b\cdot \log_a(x) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm of rationals} \\\\ \log_a\left( \frac{x}{y}\right)\implies \log_a(x)-\log_a(y) \end{array} \\\\\\ \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\log_3\left( \cfrac{18}{25} \right)\implies \log_3(18)~~ - ~~\log_3(25)\implies \log_3(2\cdot 3\cdot 3)~~ - ~~\log_3(5^2) \\\\\\\ [\log_3(2)+\log_3(3)+\log_3(3)]~~ - ~~2\log_3(5) \\\\\\\ [\log_3(2)+1+1]~~ - ~~2\log_3(5)\implies 2+\log_3(2)-2\log_3(5)[/tex]
An art gallery sales 1400 paintings catalog states that 70% of the paintings by local painters how many of these paintings are by local painters
Answer:
the answer is 980 hope this helps
find the circumference of a circle if the area is 81pi m^2 use 3..14 for pi and round your answer to the nearest tenth
Answer: C=2πr
Step-by-step explanation:
Answer:
9 cm.
Step-by-step explanation:
We are given that the area of a circle is 81π cm2. 81 π c m 2 . Hence the radius of the given circle is 9 cm.
Can someone help me with this please and thank you!
Answer:
A
Step-by-step explanation:
I had this same question on a quiz the other day
solve for x : -40 = 5x - 35
Answer: -1
Step-by-step explanation:
Add 35 to both sides
Divide both sides by 5
help........................
since the powers are same, ignore 'em , and let's calculate the bases.
-16.(1/2)
-8.1 (upon cancellation)
ans = -8
hope it helps...!!!
What is the measure of ZXYZ in the diagram below?
S
38°
X
OA. 114°
OB. 38°
OC. 78°
D. 39°
1
N
116⁰
Riley makes a mistake in step 2 while doing her homework. what was her mistake? startfraction x over x squared minus 5 x 6 endfraction startfraction x over x 3 endfraction step 1: startfraction x over (x minus 2)(x minus 3) endfraction startfraction 3 over x 3 endfraction step 2: startfraction x over (x minus 2) (x 3) endfraction 3 (x minus 2) over (x minus 2) (x 3) endfraction step 3: startfraction x 3 x minus 6 over (x minus 2) (x 3) endfraction step 4: startfraction 4 x minus 6 over (x minus 2) (x 3) endfraction she added the two fractions incorrectly. she used the wrong common denominator. she did not distribute the negative correctly. she did not multiply the first fraction by a factor.
The mathematical mistake that Riley made is that:
"She used the wrong common denominator." (Option A)
A common denominator is a factor that is similar to all the fractions in the sequence of equations.
Hence the correct answer is:
(2(2x² - 6x + 9))/((x-3) (x-2) (x+3))
See the correct sequence of steps below:
Step One - the Expression is given as:
(x/(x-3)(x-2)) + (3/(x+3))
Step 2 - Find the common denominator and rewrite the expression so that the numerators are above the common denominators.
Hence we have: (x (x+3) + 3(x-3) (x-2))/(x-3)(x-2)(x+3)
Step 3 Apply the Law of Multiplicative Distribution:
Hence we have (x² +3x+3x²-9x-6x+16)/(x-3)(x-2)(x+3)
Step 4 - Collect Like Items
This gives us: (x²+3x²)+(3x-9x-6x)+18/(x-3)(x-2)(x+3)
Step 5 Sort for like coefficients
This gives us: ((1+3)x² +(3-9-6) * x + 18)/(x-3)(x-2)(x+3)
Step 6 - check for the sum or difference
This gives us: (4x²+(3-9-6) * x+ 18)/(x-3)(x-2)(x+3)
We simplify and factor the expression to get
(2(2x²-6x+6)/(x-3)(x-2)(x+3).
See the attached for full question.
Learn more about Common Denominators at:
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Answer:
She used the wrong common denominator.
Step-by-step explanation:
Please answer this with the answer please no clifferhangers! Possible brainliest
Answer:
28 tiles in 85 minutes
1 tile in 3 minutes
Step-by-step explanation:
Figure out how long it takes Meg to lay one tile - 50 / 15 - 3.33 minutes per tile
This suggests that Jessica should take less than 3.33 mins to lay one tile for the statement to be correct.
If she lays 20 tiles in 85 minutes, it will take her 85 / 20 = 4.25 minutes per tile, so it can't be this one.
If she lays 24 tiles in 85 minutes, it will take her 85 / 24 = 3.5416 minutes per tile, so it can't be this one.
If she lays 28 tiles in 85 minutes, it will take her 85 / 28 = 3.0357 minutes per tile, so it can be this one.
If she lays 1 tile in 3 minutes, it will take her 3 / 1 = 3 minutes per tile, so it can be this one.
If she lays 1 tile in 4 minutes, it will take her 4 / 1 = 4 minutes per tile, so it can't be this one.
:)
158+(2x58)+(4x113)+94=???
Answer:
820
Step-by-step explanation:
(2×58) = 116
(4×113) = 452
158+116+452+94= 820
Answer:
820
Step-by-step explanation:
First, I multiplied the ones in parenthesis and the I added 158 then I added 94.
How to help you know what to do first. PEMDAS!!
P: Parenthesis
E: Exponents
M: Multiplication
D: Division
A: Addition
S: Subtraction
That is the order you should do those kind of problems, so just remember PEMDAS!!!!!! I hope this helped!!
Julie buys 2 kg of apples and 7 kg of pears for £12.70.
The pears cost £1.30 per kilogram.
What is the price per kilogram of the apples?
You must show your working.
Answer:£1.8Step-by-step explanation:2kg apples and 7kg pears = £12.701 kg pear costs £1.307 kg pear costs £(1.30×7)=£9.12 kg apples costs £(12.70-9.1)=£3.61kg apples cost £(3.6÷2)=£1.8
There are 6 boys and 6 girls in the finals of a talent contest. A contest is held to pick the top 3 winners in both the boy and girl groups in order of talent. How many different options for winners are there?
Answer:
400 entries (i think that's the answer)
A hot air bollon travels 18 miles in 3 hours. at this rate,how many miles will the hot airl bollon trivel in 3/4 hours
Answer:
4.5 miles in 3/4 hours
Step-by-step explanation:
Find the amount of miles in 1 hour. 18/3=6
Now multiply 1.5x3=4.5
3/4=75
This is how i got 4.5 miles
what is the 23rd term in the sequence 10,8,6,4,
Answer:
-34.
Step-by-step explanation:
This is an arithmetic sequence with first term a1 and common difference -2.
nth term = a1 + d(n - 1)
23rd term = 10 - 2(23-1)
= 10 - 44
= -34.
Answer:
-34
Step-by-step explanation:
The sequence starts with 10. Each subsequent term is 2 less than the previous term.
The common difference is -2.
The second term is 10 + (-2) × 1
The third term is 10 + (-2) × 2
The fourth term is 10 + (-2) × 3
Each term you subtract a multiple of -2 from 10. The multiple is 1 less than the number of the term multiplied by -2.
For term n, you get 10 + (-2) × (n - 1).
The 23rd term is:
10 + (-2) × (23 - 1) = 10 - 2 × 22 = 10 - 44 = -34
The function g has a domain of {-2,0,4,13} and a range of {5,9,15}. Could g be represent by the following relation: {(-2,5), (0,9), (4,15), (13,5)}?
Step-by-step explanation:
yes.
the domain defines the valid x values, the range defines the valid y values.
the given relation assigns every x value exactly one y value.
so, it is a function and could therefore represent g.
The giant circle challenge is finally here let’s all work together for this one
The measure of the angles are: ∠1 = 30°, ∠2 = 30°, ∠3 = 21°, ∠4 = 39°, ∠5 = 39°, ∠6 = 24°, ∠7 = 24°, ∠8 = 66°, ∠9 = 66°, ∠10 = 21°, ∠11 = 60°, ∠12 = 120°, ∠13 = 60°, ∠14 = 120°, ∠15 = 48°, ∠16 = 105°, ∠17 = 27°, ∠18 = 129°, ∠19 = 51°, ∠20 = 129° and ∠21 = 51°
How to determine the measure of the angles?The given parameters are:
AB = 78°
FE = 105°
ED = 27°
CD = 42°
Considering the semicircle ABCD, the measure of arc BC is:
BC = 180 - AB - CD
This gives
BC = 180 - 78 - 42
Evaluate
BC = 60°
Considering the semicircle A FED, the measure of arc A F is:
A F = 180 - FE - ED
This gives
A F = 180 - 105 - 27
Evaluate
A F = 48°
The angle 16 subtends arc FE.
So, we have:
∠16 = FE
This gives
∠16 = 105°
Similarly, the angles 15 and 17 subtend arcs A F and ED respectively.
So, we have:
∠15 = 48°
∠17 = 27°
Angles at the circumference are half the angles at the arc.
This means that:
∠1 = Arc BC/2
∠3 = Arc CD/2
∠4 = Arc AB/2
∠5 = Arc AB/2
∠6 = Arc A F/2
∠10 = Arc CD/2
So, we have:
∠1 = 60/2 = 30°
∠3 = 42/2 = 21°
∠4 = 78/2 = 39°
∠5 = 78/2 = 39°
∠6 = 48/2 = 24°
∠10 = 42/2 = 21°
The angle in a semicircle is 90 degrees.
This means that:
∠2 = 90°
The sum of angles in a triangle is 180 degrees.
This means that:
∠11 = 180 - ∠1 - ∠2
∠12 = 180 - ∠3 - ∠4
So, we have:
∠11 = 180 - 30 - 90 = 60°
∠12 = 180 - 21 - 39 = 120°
Vertical angles are equal.
So, we have:
∠13 = ∠11
∠14 = ∠12
This gives
∠13 = 60°
∠14 = 120°
The sum of angles in a triangle is 180 degrees.
This means that:
∠18 = 180 - ∠17 - ∠6
So, we have:
∠18 = 180 - 27 - 24 = 129°
Vertical angles are equal.
So, we have:
∠20 = ∠18
This gives
∠20 = 129°
Angle on a straight line equals 180°.
So, we have:
∠21 = 180 - ∠18
This gives
∠21 = 180 - 129° = 51°
Vertical angles are equal.
So, we have:
∠19 = ∠21
This gives
∠19 = 51°
The sum of angles in a triangle is 180 degrees.
This means that:
∠7 = 180 - ∠21 - ∠16
So, we have:
∠7 = 180 - 51 - 105
∠7 = 24°
The angle in a semicircle is 90 degrees.
This means that:
∠7 + ∠8 = 90°
So, we have:
24 + ∠8 = 90°
Subtract 24 from both sides
∠8 = 66°
The sum of angles in a triangle is 180 degrees.
This means that:
∠8 = 180 - ∠15 - ∠9
So, we have:
∠8 = 180 - 48 - 66
So, we have:
∠8 = 66°
Hence, the measure of the angles are:
∠1 = 30°, ∠2 = 30°, ∠3 = 21°, ∠4 = 39°, ∠5 = 39°, ∠6 = 24°, ∠7 = 24°, ∠8 = 66°, ∠9 = 66°, ∠10 = 21°, ∠11 = 60°, ∠12 = 120°, ∠13 = 60°, ∠14 = 120°, ∠15 = 48°, ∠16 = 105°, ∠17 = 27°, ∠18 = 129°, ∠19 = 51°, ∠20 = 129° and ∠21 = 51°
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please help me!! i’ll mark brainliest if you’re correct <3
Answer:
9, 12,15
Step-by-step explanation:
a^2+b^2=c^2
9^2+12^2=15^2
81+144=225
Vince worked 705 hours in 15 weeks. At what rate did he work in hours per week? A. 48 hours per week B. 49 hours per week C. 46 hours per week D. 47 hours per week
Answer:
c
Step-by-step explanation:
Answer: 47
Step-by-step explanation:
Rate in hours /week = 705/ 15
What is the rate of change and y intercept
Answer:
In analytic geometry using the common convention that the horizontal axis represents a variable x and the vertical axis represents a variable y, a y-intercept or vertical intercept is a point where the graph of a function or relation intersects the y-axis of the coordinate system. As such, these points satisfy x = 0.
Step-by-step explanation:
hope this helps if not please let me know :)
The ages of the 5 officers for a school club are 18, 18, 17, 16, and 15. The proportion of officers who are younger than 18 is 0.6. The table displays all possible samples of size 2 and the corresponding proportion for each sample. A 2-column table with 10 rows. Column 1 is labeled sample n = 2 with entries (18, 18), (18, 17), (18, 17), (18, 16), (18, 16), (18, 15), (18, 15), (17, 16), (17, 15), (16, 15). Column 2 is labeled sample range with entries 0, 0.5, 0.5, 0.5, 0.5, 0.5, 0.5, 1, 1, 1. Using the proportions in the table, is the sample proportion an unbiased estimator? Yes, the sample proportions are calculated using samples from the population. Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion. No, 0.6 is not one of the possible sample proportions. No, 70% of the sample proportions are less than or equal to 0.5
Using the proportions in the table, is the sample proportion an unbiased estimator?
Yes, the mean of the sample proportions is 0.6, which is the same as the population proportion.
How to solveMean of sample proportions = (0 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 0.5 + 1 + 1 + 1)/10 = 0.6
This is equal to the population proportion. Hence,
Option B is correct.
A sample proportion is a portion of the sample that corresponds to a predetermined confidence level or a confidence interval, where the confidence level represents the confidence or probability percentage for a given point, as opposed to a sample mean, which is calculated by taking the arithmetic mean of all the values of a given sample.
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Find the height of the cylinder. V=271.4 in^3
Answer:
c. 14.4
Step-by-step explanation:
when your divide 271.4^3 by 1000 you get 7.2 and then you multiply that by 2 and get 14.4 as your answer.
If r = 8 units and x = 7 units, then what is the volume of the cylinder shown above?
A 448 π cubic units
B. 56 cubic units
C. 240 cubic units
D. 1.792 cubic units
RIGHT ANSWER GETS BRAINLIEST
Answer:
Answer A is correct
Step-by-step explanation:
Formula to find the volume of a cylinder is :
Volume = π r² h
Given that,
radius ⇒ 8 units
height ⇒ 7 units
Let us find it now.
Volume = π r² h
Volume = π × 8 × 8 × 7
Volume = π × 64 × 7
Volume = π × 448
Volume = 448 π units³
Pls help me with this thank u
Answer:
[tex]y=-5x+22[/tex]
Step-by-step explanation:
If two lines are perpendicular to each other, the product of their slopes will be -1.
Therefore, the slope (m) of the line that is perpendicular to [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\begin{aligned}\implies m \cdot \dfrac{1}{5} & =-1\\m & =-5\end{aligned}[/tex]
Using the point-slope form of a linear equation, with the given point (4, 2) and the calculated slope of -5:
[tex]\begin{aligned}y-y_1 & =m(x-x_1)\\\implies y-2 & = -5(x-4)\\y-2 & = -5x+20\\y & = -5x+22\end{aligned}[/tex]
Therefore, the equation of a line that passes through the point (4, 2) and is perpendicular to the line [tex]y=\dfrac{1}{5}x-3[/tex] is:
[tex]\Large \boxed{y=-5x+22}[/tex]
i need help to find the X please
Answer:
see in picture
Step-by-step explanation:
Anyone know the answer?
Answer:
They will need √161 feet, or about 12.69 feet of fencing. √161 is irrational because 161 is not a perfect square.
Step-by-step explanation:
[tex] {8}^{2} + {x}^{2} = {15}^{2} [/tex]
[tex]64 + {x}^{2} = 225[/tex]
[tex] {x}^{2} = 161[/tex]
[tex]x = \sqrt{161} = 12.69[/tex]
Which of the following is equivalent to Root of 54?
Answer:
[tex]\boxed{\sf{3\sqrt{6}}}[/tex]Step-by-step explanation:
You need to find the equivalent of 54 by solving and finding the root of it.
GIVEN:
2*3³
3³=27
2*27=54
Change to square root.
[tex]\sf{\sqrt{2*3^3}}[/tex]
Use the exponent rule.
EXPONENT RULE:
[tex]\Longrightarrow: \sf{\:A^{B+C}=A^B\cdot \:A^C}}[/tex]
[tex]\Longrightarrow: \sf{\sqrt{2\cdot \:3^2\cdot \:3}}[/tex]
[tex]\sf{\sqrt{2\cdot \:3^2\cdot \:3}=\sqrt{3^2}\sqrt{2\cdot \:3}}[/tex]
[tex]\Longrightarrow: \sf{\sqrt{3^2}=3}[/tex]
[tex]\sf{3\sqrt{2*\:3}}[/tex]
Then, you multiply the numbers from left to right.
2*3=6
SOLUTIONS:
[tex]\Longrightarrow: \boxed{\sf{3\sqrt{6}}}[/tex]
Therefore, the equivalent to square root of 54 is "3√6", which is the correct answer.I hope this helps. Let me know if you have any questions.
Last week, Hayden rode his bike 5 times. Each time, he biked a 3-mile path, a 2-mile path, and a 2 1 4 -mile path. Which expression represents the total number of miles he biked? A. 5 × ( 3 + 2 + 2 1 4 ) B. 5 + ( 3 × 2 × 2 1 4 ) C. 5 × ( 3 × 2 × 2 1 4 ) D. 5 + ( 3 + 2 + 2 1 4 )
Answer:
A
Step-by-step explanation:
Add the lengths together then multiply by 5 times
What are the rules for square rooting
Answer:
see carefully see carefully see carefully see carefully see carefully see carefully and see carefully see carefully see carefully see carefully
Calculate the value of x
[tex]2x + 2x + 1 = 13 + x[/tex]
4
2x +2x +1 =13 + x
4x - x = 13 - 1
3x = 12
x=12/3
x=4
Checking, 2*4+2*4+1 =17
13+4=17
Answer:
Step-by-step explanation:
2x + 2x + 1 = 13 + x
To find the value of x, isolate 'x'
Step1: Subtract x from both sides
2x + 2x - x + 1 = 13
Step 2: Subtract 1 from both sides
2x + 2x - x = 13 - 1
Step3: Combine like terms
3x = 12
Step 3: Divide both sides by 3
x = 12/3
x = 4