[tex] {2}^{3} \\ = 2 \times 2 \times 2 \\ = 8[/tex]
[tex]8 + 9 = 17[/tex]
[tex] {3}^{2} + {2}^{3} \\ = 3 \times 3 + 2 \times 2 \times 2 \\ = 9 + 8 \\ = 17[/tex]
Hope it helps.Do comment if you have any query.
Answer:
See below:
Step-by-step explanation:
Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.
As we can see, the problem can be solved in a single step, as it is just basic algebra. I'll start off with explaining the formula.
So what it is saying is that [tex]3^2=9[/tex] and that [tex]2^3=8[/tex]. We know that since [tex]3^2=3*3=9[/tex] and [tex]2^3=2*2*2=8[/tex].
Keep in mind that exponents are just the number of how many times the number is multiplied by itself.
Now that we know that, we can go into the second equation, it states that [tex]8+9=17[/tex] and it has relevancy because our top two equations give us the answers of 8 and 9.
Since we know what our answer is due to the 3rd question telling us. We can say that the final equation is true:
[tex]3^2+2^3=17?\\9+8=17?\\17=17[/tex]
After all of our reasoning, it is correct.
What is the solution for the system of equations? Use the substitution method to solve. 2x+y=20−5y=−6x+12 Enter your answer by filling in the boxes. ( , )
Answer:
(7, 6 )
Step-by-step explanation:
2x + y = 20 ( subtract 2x from both sides )
y = 20 - 2x → (1)
- 5y = - 6x + 12 → (2)
Substitute y = 20 - 2x into (2)
- 5(20 - 2x) = - 6x + 12 ← distribute parenthesis on left side
- 100 + 10x = - 6x + 12 ( add 6x to both sides )
- 100 + 16x = 12 ( add 100 to both sides )
16x = 112 ( divide both sides by 16 )
x = 7
Substitute x = 7 into (1)
y = 20 - 2(7) = 20 - 14 = 6
solution is (7, 6 )
Answer: (7,6)
Step-by-step explanation:
The length of the rectangle is 2x + 8 cm and the width is 2cm . The area of the rectangle is 12 cm
Answer:
x = - 1
Step-by-step explanation:
Length ( l ) = 2x + 8 cm
Width / Breadth ( b ) = 2 cm
Area ( rectangle ) = 12 cm
Formula : -
Area ( rectangle ) = lb
12 = ( 2x + 8 ) ( 2 )
Divide 2 on both sides,
12 / 2 = ( 2x + 8 ) ( 2 ) / 2
6 = 2x + 8
2x + 8 = 6
2x = 6 - 8
2x = - 2
x = - 2 / 2
x = - 1
write the equation of the line that passes through the points (3,1) and (-2,6) in slope intercept form
Answer:
y = - x + 4
Step-by-step explanation:
First find slope:
6-1/-2-3 = 5/-5 = -1
Then plug one point and slope into point slope form: y-y1 = k (x-x1)
Plug in (3, 1) and slope -1 --> y-1 = -1(x-3)
Simplify --> y - 1 = - x + 4
Then add 1 to both sides --> y = -x + 4
The math club had 20 members. Now it has 30 members. Find the percent of change.
The membership increased from 20 to 30.
That's an increase of 10 members.
10 members is how much of the original 20 ?
10 members is HALF of the original 20.
The membership increased by HALF.
The membership increased by 50% .
Expand abs simplify root 5 ( root 10 + root 2)
Answer:
5\sqrt{2} + \sqrt{10}
Step-by-step explanation:
I assume the exp as [tex]\sqrt{5} (\sqrt{10} + \sqrt{2} )[/tex]
[tex]\sqrt{50 } + \sqrt{10}[/tex]
[tex]\sqrt{25*2} +\sqrt{10}[/tex]
[tex]5\sqrt{2} + \sqrt{10}[/tex]
The simplified form of the given expression [tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )[/tex] will be [tex]5\sqrt{2} + \sqrt{10}[/tex].
What is a perfect square?A perfect square is a number system that can be expressed as the
square of a given number from the same system.
The given expression is as follows;
[tex]\sqrt{5} (\sqrt{10} +\sqrt{2} )\\\\\sqrt{5} \times \sqrt{10} +\sqrt{5} \times\sqrt{2} \\\\\sqrt{25 \times 2} +\sqrt{10}\\\\5\sqrt{2} +\sqrt{10}[/tex]
Hence, the simplified form of the given expression is [tex]5\sqrt{2} + \sqrt{10}[/tex].
Learn more about square;
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11. Commercial jets fly between 30,000 ft and 36,000 ft. About how many hours of growing could
pass before the beanstalk might interfere with commercial aircrafts? Explain how you got your
answer
An exponential function is a function that increases rapidly as the time increases.
The number of hours that passes before the magical beanstalk interferes with commercial flight is approximately 9.384 hours.Reasons:
The function that gives the height of a beanstalk is presented as follows;
b(t) = [tex]3^t[/tex]
When the height is 30,000 ft., we have;
30,000 = [tex]3^t[/tex]
㏑(30,000) = t·㏑(3)
[tex]\displaystyle t = \mathbf{\frac{ln(30,000)}{ln(3)}} \approx 9.384[/tex]
The time it would take the beanstalk to grow 30,000 ft., t ≈ 9.384 hours
Similarly, the time it would take the beanstalk to grow to 36,000 ft. is found as follows;
[tex]\displaystyle t_{36,000} = \mathbf{\frac{ln(36,000)}{ln(3)}} \approx 9.55[/tex]
The time it would take the beanstalk to grow 36,000 ft., t ≈ 9.55 hours
The number of hours it will take the beanstalk to grow to 30,000 feet at
which it might interfere with commercial aircrafts is 9.384 hours.
Learn more here:
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PLEASE HELP GIVING BRAINLIEST! :)
Answer:
10
Step-by-step explanation:
3a+b - 4
Let a =3 and b = 5
3(3) +5 -4
Multiply
9+5-4
Add and subtract
14-4
10
Answer:
10
Step-by-step explanation:
a = 3b = 5= 3a + b - 4
= 3(3) + 5 - 4
= (3 . 3) + 5 - 4
= 9 + 5 - 4
= 9 + 1
= 10
PLEASE PLEASE HELP ME OUT
Answer:
It is 77 degrees
Step-by-step explanation:
Since line M and N are parralell, the angles are the same
Answer:
X=77
HOPE THIS HELPS
- Todo ❤️
Step-by-step explanation:
Alternative angle thingies are equal
The cylinder has a radius of 3 inches and a height of 9 inches. Find the volume of the
cylinder rounded to the nearest tenth.
Answer:
Volume = 254.3 inches². Step-by-step explanation: The formula for determining the volume of a cylinder is expressed as.Step-by-step explanation:
118 divided by 8
sfw ertvw4brt4ryt4yyydhfertgerf
Answer:
14.75 or 14 with remainder 6
Answer: 14.75
Step-by-step explanation:
[tex]\sqrt{7} \times \sqrt{7}[/tex]
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The required Answer is ~
[tex] \boxed{ \boxed{7}}[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \sqrt{7} \times \sqrt{7} [/tex][tex]( \sqrt{7} ) {}^{2} [/tex][tex]{( {7}^ {\frac{1}{2} }) }^{2} [/tex][tex]{(7) }^{ \frac{1}{2} \times 2} [/tex][tex] {7}^{1} [/tex][tex]7[/tex][tex]\mathrm{✌TeeNForeveR✌}[/tex]
Answer:
[tex]\sf \longmapsto7[/tex]
Step-by-step explanation:
[tex] \sf \longmapsto \: \sqrt{7 }\times \sqrt{7} [/tex]
[tex]\sf \longmapsto \sqrt{7} [/tex]
[tex]\sf \longmapsto7[/tex]
[tex]\sqrt{6}\:\times \sqrt{6}\:[/tex]
Answer:
6
Step-by-step explanation:
[tex]\sqrt{6} *\sqrt{6}[/tex]
[tex]\sqrt{6*6} \\\sqrt{6^2}[/tex]
6
solve pls brainliest
Answer:
Mixed Number: 5 [tex]\frac{7}{10}[/tex]
Improper Fraction:[tex]\frac{57}{10}[/tex]
Step-by-step explanation:
A mixed number is when you express the decimal as a fraction, 0.7 is the same as [tex]\frac{7}{10}[/tex], so 5[tex]\frac{7}{10}[/tex] is your answer.
An improper fraction is a fraction where the numerator is bigger than the denominator, to do this you multipy the whole number 5, which can be written as [tex]\frac{5}{1}[/tex], by [tex]\frac{10}{10}[/tex].
[tex]\frac{5}{1}[/tex]·[tex]\frac{10}{10}[/tex]=[tex]\frac{50}{10}[/tex]
Then add 0.7, or [tex]\frac{7}{10}[/tex].
[tex]\frac{50}{10}[/tex]+[tex]\frac{7}{10}[/tex]=[tex]\frac{57}{10}[/tex]
Would you please mark my answer brainliest if it helped you? :D
The measure of an angle is 137°. What is the measure of its supplementary angle?
Answer:
43°
Step-by-step explanation:
that is the measure of its supplementary angle
Answer:
43 degrees
Step-by-step explanation:
180 - 137 = 43
hope this helped!
If angle 4 = 100, what is angle 6?
Answer: 100
Step-by-step explanation:
Because the two horizontal lines are parallel and diagonal splits them, 4 and 6 are congruent so they have the same angle.
4, 2, 8 and 6 all have the same angles.
1, 3, 5 and 7 all have the same angles as well.
If m < WXY = 160 what are the m< WXZ and m < ZXY
Answer:
m< WXZ = 73
m< ZXY = 87
Step-by-step explanation:
WXY = WXZ + ZXY
WXY = 5x+8+7x-4
WXY = 12x+4
m < WXY = 160
160 = 12x + 4
156 = 12x
13 = x
WXZ = 5x + 8
= 5*13 + 8
= 73
ZXY = 7x - 4
= 7*13 - 4
= 87
[tex]\\ \sf\Rrightarrow 5x+8+7x-4=160[/tex]
[tex]\\ \sf\Rrightarrow 12x+4=160[/tex]
[tex]\\ \sf\Rrightarrow 12x=156[/tex]
[tex]\\ \sf\Rrightarrow x=13[/tex]
<WXY=5(13)+8=65+8=73<ZXY=7(13)-4=91-4=87helpppp me please!!!! asapppppppo thank you!
Answer:
3
Step-by-step explanation:
=> y= log _5 125
=> y = log _5 5³
Using properties of log ,
=> y = 3 log_5 5
= > y = 3*1
=> y= 3
[tex]y = log_{5}(125) \\ = > y = log_{5}( {5}^{3} ) \\ = > y = 3 log_{5}(5) \\ = > y = 3 \times 1 \\ = > y = 3[/tex]
Answer:y = 3
Hope it helps.
Do comment if you have any query.
Determine which of the lines, if any, are parallel or perpendicular.
Line a: 4y - 12x = 20
Line b: 3y = -x + 2
Linec: y = 3x - 1
Step-by-step explanation:
ma=3,mb=_1/3, mc=3a and c are parallelb aree perpendicular to a and ca. What iS the slope of the line that passes through (-2, 3) and (4, -5)?
Answer:
slope = - [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 2, 3 ) and (x₂, y₂ ) = (4, - 5 )
m = [tex]\frac{-5-3}{4-(-2)}[/tex] = [tex]\frac{-8}{4+2}[/tex] = [tex]\frac{-8}{6}[/tex] = - [tex]\frac{4}{3}[/tex]
A bag contains 7 milk and 11 dark chocolates.
A sweet is selected at random.
What is the probability of choosing:
Answer and explanation:
Milk Chocolate would be 7/18
Dark Chocolate will be 11/18
Milk Chocolate is unlikely to be chosen
Dark Chocolate is likely to be chosen
ERROR ANALYSIS Describe and correct the error in identifying the terms, coefficients, and constants in the algebraic expression 2x2y
Given the algebraic expression, [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.
The correct analysis is:
Term: [tex]2x^2y[/tex]Coefficient: 2Constant: NoneRecall:
Given an expression, say, [tex]2x^2 + 4x + 5[/tex].
The expression has 3 terms, namely: [tex]2x^2, 4x, $ and 5[/tex]The coefficients are: 2 and 4.The constant is: 5Thus, we are given the expression, [tex]2x^2y[/tex],
The expression has only 1 term: [tex]2x^2y[/tex]
1 coefficient: 2
It has no constant.
Therefore, given the algebraic expression, [tex]2x^2y[/tex], the error in the analysis shown in the diagram attached is the wrong listing of terms.
The correct analysis is:
Term: [tex]2x^2y[/tex]Coefficient: 2Constant: NoneLearn more here:
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The organizers of a conference needs to prepare at least 200 notepads for the event
and have a budget of $160 for the notepads. A store sells notepads in packages of 24
and packages of 6.
24x + 6y > 200
This system of inequalities represent these constraints:
(16x + 5.40y = 160
The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160
Inequalities shows the non equal comparison of numbers or expressions.
Let x represent the number of packages of 24 notepads and y represent the number of packages of 6 notepads
Since the organizers need to do at least 200 notepads, hence:
24x + 6y > 200
Also, they have a budget of $160. Let us assume that each 24 package cost $16 and each 6 package cost $5.40, hence:
16x + 5.40y ≤ 160
The system of inequalities represent these constraints is 24x + 6y > 200 and 16x + 5.40y ≤ 160
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Which of the following statements is NOT true?
ILL GIVE BRAINLIEST
Answer:
The answer to that is the ratios of the rise to the run for the triangles are equivalent
What are corresponding angles
Answer:
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal.
(2x + 3) times (5x + 6)
Simple interest
A. cannot be paid by credit unions.
B. cannot be expressed as a percentage.
C. is another name for compound interest.
D. is paid only on the original principal.
Step-by-step explanation:
option D is correct according to my understanding
hope this answer helps you dear! take care
please i need a helping hand
Jessie's mom gave her some money to go shopping. She has $100 to spend on new shirts at the store. The store Jessie chooses is having a sale; all shirts cost $10. The function T(s)=10s represents the total cost of the shirts, where s is the number of shirts purchased. What is the domain of T(s) in this context?
Question 9 options:
all non-negative integers that are multiples of 10
all whole numbers
all non-negative rational numbers
all non-negative integers less than or equal to 10
Answer:
T(s)'s domain is A
Hope This Helps!!!
Answer:
d
Step-by-step explanation:
the shirts are only 10 dollars so that means that the domain is all negative numbers that are either equal to or less than 10, not the multiples.
what is h(6)?
PLS HELP I FAILED THIS TEST TWICE
Answer:
the answer should be b (14)
Answer: hydrogen 6
Step-by-step explanation:
If x+y= -4 and xy=2, then find the value of x²+y²
Answer:
x² + y² = 12
Step-by-step explanation:
x + y = -4
xy = 2
x² + y² = (x+y)² - 2xy = (-4)² - 2(2) = 16 - 4 = 12
The triangles are similar. What is the value of x? Enter your answer in the box. x =
Answer:
Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable. ... A variable need not be “x,” but might be “y,” "w," or any other letter, name, or symbol.