Expression which are equivalent to the given expression 3⁴ × 3ˣ are as follow: (3⁴⁺ˣ ) and 81 × 3ˣ.
As given in the question,
Given expression is equal to :
3⁴ × 3ˣ
Using law of indices for multiplication we have ,
mᵃ × mᵇ = mᵃ⁺ᵇ
Here in the given expression m = 3 , a= 4 and b = x
Equivalent expression for the given expression is given by,
3⁴ × 3ˣ
= (3⁴⁺ˣ )
Also,
Now simplify the given expression we get,
3⁴ × 3ˣ
= ( 3 × 3 × 3 × 3) × 3ˣ
= 81 × 3ˣ
Therefore, expression which are equivalent to the given expression 3⁴ × 3ˣ are as follow: (3⁴⁺ˣ ) and 81 × 3ˣ.
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The students at Gotham Elementary want to raise $500 for charity. They have raised $337 so far. How much more money do the students need to raise?
Responses
A 337 + 500 = ? or 500 − ? = 337337 + 500 = ? or 500 − ? = 337
B ? + 337 = 500 or ? − 500 = 337? + 337 = 500 or ? − 500 = 337
C 337 + ? = 500 or 500 – 337 = ?337 + ? = 500 or 500 – 337 = ?
D ? − 337 = 500 or 500 + 337 = ?
Answer:
C
Step-by-step explanation:
suppose this player attempts 10 shots in a game and makes only 3 of them. does this provide convincing evidence that she is less than a 47% shooter?
No, because it is plausible that she would make 3 or fewer shots by chance alone.
What is convincing evidence?
The proof is sufficient evidence or a sufficient argument for the truth of a proposition. The concept applies in a variety of disciplines, with both the nature of the evidence or justification and the criteria for sufficiency being area-dependent.
if our test statistic is: positive and greater than the critical value, then we have sufficient evidence to reject the null hypothesis and accept the alternative hypothesis. positive and lower than or equal to the critical value, we must accept the null hypothesis.
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The ordered pairs below represent a function.
What is the range of the function?
O {-2,0,1,2,4,6}
O {-2,1,4}
O {-2,1,2,4,6}
O {0,1,2,4,6}
{(-2,4), (4,-2), (1, 1), (0, 1), (2,-2), (6,4)}
Answer:yesno
Step-by-step explanation:
yes
Please help 25 points and brainlest
Please pick the TWO properties of a incenter
*
Equidistant from the vertices
Equidistant from the sides
Where the angle bisectors cross
Where the perpendicular bisectors cross
Answer:
Where the angle bisectors cross
Where the perpendicular bisectors cross
Find the length of the hypotenuse in this right triangle.
Answer:
13
Step-by-step explanation:
This is a special right triangle with side lengths 5-12-13 respectively.
If we can't remember the lengths we can use the following formula to calculate the lentgh of hypotenuse:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
the sum of square measure of both legs is equal to the square measure of hypotenuse
[tex] {5}^{2} + {12}^{2} = {c}^{2} [/tex]
25 + 144 = c^2
169 = c^2 find the root of both sides
13 = c, hypotenuse.
HELP ALOT OF POINTSSS
Evaluate the expression if a=−12, b=34, and c=−23.
−||6c−16b||+1
-691 is the value of the expression −||6c−16b||+1 when a=−12, b=34, and c=−23.
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is −||6c−16b||+1
The values of c is minus twenty three, the value a is minus twelve and the value of b is thirty four.
−||6c−16b||+1
-||6(-23)-16(34)||+1
-||-138--55||+1
-||-692||+1
-692+1
=-691
Hence -691 is the value of the expression −||6c−16b||+1 when a=−12, b=34, and c=−23.
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Please help me with this question.
Answer:
7x + 4,
8y - 3 > 13,
8a,
9 < 5x - 1
Step-by-step explanation:
Hello!
For this question it's important to know what form an expression takes, which is essentially a group of "things" (such as x, y, and numbers) that don't necessarily equal anything else, that would be an equation
In other words, an expression is a mathematical statement that does not include an = sign.
HELP ME SOMEONE PLEASEE
54g of AI react completely with 409.2g of ZnCI2 to form 196.2 of Zn metal. How many grams of AICI3 are formed
By the use of the law of conservation of mass, the mass of the aluminum chloride is 267 g.
What is the mass of the aluminum chloride formed?We know that a chemical reaction occurs when there is the combination of two or more substances such that a new substances is formed. We have to put down the reaction equation in this case and we have;
[tex]4Al(s) + 3ZnCl_{2} (aq) ---- > 2Al_{2} Cl_{3}(aq) +3 Zn(s)[/tex]
Using the law of the combination of mass, the total mass of the reactants must be equal to the total mass of the products; Let the mass of the aluminum chloride formed be x
54 + 409.2 = 196.2 + x
x = (54 + 409.2) - 196.2
x = 267 g
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Choose all of the equations below which are reciprocal functions.
y=x squared y=1/x+4 y=7/x y=2/x+5 y=x/8 y=3x+1
Reciprocal functions have a general form of:
[tex]y= \cfrac{a}{x-h} +k[/tex], where a, h and k are constantsLet's see which of the given functions follow same form:
[tex]y= \cfrac{1}{x+4}[/tex] a = 1, h = - 4, k = 0[tex]y= \cfrac{7}{x}[/tex] a = 7, h = 0, k = 0[tex]y= \cfrac{2}{x} +5[/tex] a = 2, h = 0, k = 5All the other functions are either linear or quadratic functions.
Question
A store has 9 packages of candles. Each package has 4 candles.
Which equation can be used to solve for the total number of candles?
What are all the common factors of 15,45,90
(Pls help me I got till 5:10)
Find the value of x.
x(x+4)
148⁰
the answer is 148 the reason is two angle interception
Step-by-step explanation:
The angle on top of x(x+4) is equal to 148.
The angle at x(x+4) = 180 -148 = 32
[tex]x(x + 4) = 32 \\ {x}^{2} + 4x = 32 \\ {x}^{2} + 4x - 32 = 0 \\ (x - 4)(x + 8) = 0[/tex]
x-4=0
x=4
x+8=0
x=-8
Help fast, please!
Reduce -56/-70 to the lowest terms
Answer:
-4/-5
Step-by-step explanation:
Gotchu bro
Answer:
4/5 or 0.8
Step-by-step explanation:
may i have the brainiest crown pls
construct a 95% confidence interval for the mean number of defects per screen for all screens produced by this manufacturer. a) what is the lower limit on the interval? give your answer to three decimal places. 1.691 incorrect: your answer is incorrect. seenkey 1.703 b) what is the upper limit on the interval? give your answer to three decimal places. 2.589 incorrect: your answer is incorrect. seenkey 2.577 c) based on the interval above, would you believe that the mean number of defects per screen for all screens from this manufacturer is 1.78? yes because 1.78 is not inside the interval. no because 1.78 is inside the interval. correct yes because 1.78 is inside the interval. no because 1.78 is not inside the interval. correct: your answer is correct. d) if we are very certain that the true standard deviation of the number of defects per screen is below 2, what sample size would be required so that the width of the 95% confidence interval for the mean number of defects per screen is at most 0.34? make sure you enter a whole number below. 532 correct: your answer is correct. seenkey 532
The 95% Confidence Interval for the mean number of defects per screen for all screens produced by this manufacturer is (1.447646, 2.352354)
Given Data:
3, 5, 0, 3, 5, 2, 5, 1, 0, 0, 0, 4, 2, 1, 0, 5, 1, 0, 1, 1, 0, 2, 0, 2, 1, 0, 2, 4, 4, 3, 2,
2, 3, 2, 1, 2, 1, 1, 4, 1, 1, 6, 0, 3, 1, 0, 2, 2, 1, 3
We calculate sample mean and standard deviation from given data.
Sample Mean, a = 2 (2) _ 95
-50
= 1.9
Sample Variance, $2 _ _(2 -x)2 _130.5
= 2.663265
n - 1
49
Sample std dev, s = V82 = v2.663265 ~ 1.631951
95% CI for u using Normal dist
Sample Mean = T = 1.9
Since sample size is large, sample standard deviation can be taken as an approx-
Limation of population standard deviation.
Population Standard deviation = o ~ 1.631951
Sample Size = n = 50
Significance level = 0 = 1- Confidence = 1 - 0.95 = 0.05
The Critical Value = za/2 = 20.025 = 1.96 (From z table)
Critical Values , 1za/2 = 41.96
Margin of Error = E = za/2 X -= 1.96 x 1.631951
0.452354
V50
Margin of Error, E = 0.
Limits of 95% confidence interval are given by:
Lower limit = I - E = 1.9 -0.452354 ~ 1.447646 ~ 1.448
Upper limit = I + E = 1.9 + 0.452354 ~ 2.352354 ~ 2.352
95% confidence interval is: T + E = 1.9 4 0.452354
= (1.447646, 2.352354)
95% CI using normal dist: (1.448 ) < < (2.352)
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Find the quotient. 5/4 1 1/2=
solve the equations
Answer:
n = 8
Step-by-step explanation:
to solve this equation you must first isolate the variable
that is n
so first
add 2n to both sides to get rid of n on one of the sides
-4n + 2n + 14 = -2 - 2n + 2n
-2n + 14 = -2
now subtract 14 to both sides to isolate n
-2n + 14 - 14 = -2 - 14
-2n = -16
now divide everything by -2 to isolate n completely
(-2n)/(-2) = (-16)/(-2)
n = 8
that is your answer
Answer:
[tex]\boxed{\sf n=8}[/tex]
Step-by-step explanation:
[tex]\sf -4n+14=-2-2n[/tex]
Subtract 14 from both sides:-
[tex]\sf -4n+14-14=-2-2n-14[/tex]
Simplify:-
[tex]\sf -4n=-2n-16[/tex]
Add 2n to both sides:-
[tex]\sf -4n+2n=-2n-16+2n[/tex]
Simplify:-
[tex]\sf -2n=-16[/tex]
Divide both sides by -2:-
[tex]\sf \cfrac{-2n}{-2}=\cfrac{-16}{-2}[/tex]
Simplify:-
[tex]\sf n=8[/tex]
____________________
Hope this helps!
Have a great day!
−1/2(7z+4)+1/5(5z−15) =
Answer:
- 5/2 (z + 2)
Step-by-step explanation:
Distribute
- 7/2 z - 2 + z - 3
Subtract the numbers
- 7/2 z - 5 + z
Combine like terms
- 5/2 z - 5
Common factor
- 5/2 (z + 2)
in two or more complete sentences, describe choices that a consumer can make that could lead to financial irresponsibility.
Choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingDon't save money for emergency purposeSpending money without knowing your limitsSpending money doing comparisonAs given in the question,
Choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingWhen a person is spending money just on emotional feeling and buying large gifts for children which is beyond the budget. Due to this habits a person may have to take debt.
Don't save money for emergency purposeWhen a person is not saving enough money for the time of emergency, it can be a medical emergency then it is financial irresponsible behavior.
Spending money without knowing your limitsWhen you are not making any budget and spending money ,it might possible at the end of the month or some time you have to face financial crises.
Spending money doing comparisonDon't compare yourself with anyone, this might lead you to take loan or debts which lead your life in facing financial trouble.
Therefore, choices made by consumer leads to financial irresponsibility are as follow:
Spend money on emotional feelingDon't save money for emergency purposeSpending money without knowing your limitsSpending money doing comparisonLearn more about choices here
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QUESTION 3/10 HELP ASAPP
Situations a and c can represent a proportional relationship. Options a and c are correct.
What is directly proportional?It is defined as the relationship between two quantities as one quantity increases the other quantity also increases and vice versa.
The following situations are found to represent proportionality using the concept of proportionality:
A) The total amount a babysitter makes who earns $10 an hour for babysitting r hours.
C) The total amount Andrew saves when he saves $24 a week for w weeks.
Thus, situations a and c can represent a proportional relationship. Options a and c are correct.
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Harold solved a division problem in the following way. Check his work. Is the solution valid. Why or why not?
No, this solution is not valid because of wrong concept and wrong calculations as he solved [tex]\frac{10^{-7} }{10^{-2} }[/tex] as [tex]10^{-7 + (-2)}[/tex] but it should be solved as [tex]10^{-7-(-2)}[/tex] .
These exponents can be split since they all share the same base, x. You divide them by the highest exponent in the numerator (the numerator) and the lowest exponent in the denominator (the bottom exponent).
So according to it,
As they have same the base i.e. 10, we will subtract their power which would be like [tex]10^{-7-(-2)}[/tex] = [tex]10^{-5}[/tex] not the [tex]10^{-9}[/tex].
Hence, the solution is not valid due to the wrong concept and wrong calculations.
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Which theorem or postulate could be used to prove the congruence of the triangles?
The third congruent side is not included the side of angles thus it will be congruent by the AAS rule thus option (B) is correct.
What is congruence?If two figures are exactly the same in sense of their length side all things then they will be congruent.
In other meaning, if you can copy a figure then that copy and the original figure will be congruent.
As per the given two triangles,
The two angles are congruent.
The sides which are congruent in both triangles are not the common side of angles or not included in the side of angles thus it will be AAS congruency.
Hence "The third congruent side is not included the side of angles thus it will be congruent by the AAS rule".
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Some European very small countries are_____________________ and have managed to stay independent of their larger neighbors.
Ministates
Microstates
City-States
Territories
answer
microstates
Step by step explanation
£2448is invested in an account at rate of compound interest. One year after the investment there is £2496.96 in the account. How much is in the account 4years after the investment.
The amount after four years is £2649.79 .
What is the amount after four years?Now we know that we need to obtain the rate for the compounding of the money and we need to recall that for the amount, we have;
A = P(1 +r/n)^nt
A = amount
P = principal
r = rate
n = number of times compounded
t = time
For one year in which the interest is compounded annually;
2496.96 = 2448(1 + r)^1
2496.96/ 2448 = (1 + r)
1.02 = 1 + r
r = 1.02 - 1
r = 0.02 or 2%
Now after four years;
A = 2448(1 + 0.02)^4
A = £2649.79
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Matt's bus ride to school is 3 minutes more than 1/4 the time of Rick's bus ride. Write an equation to model this situation and graph it
An equation to model this situation is M = t/3 + 3, which is shown in the graph attached below.
How to write an equation to model this situation?In order to solve this word problem, we would assign variables to the amount of time taken by Rick's bus ride and Matt's bus ride to school, and then translate the word problem into algebraic equation as follows:
Let the variable t represent the amount of time taken by Rick's bus ride. Let the variable M represent the amount of time taken by Matt's bus ride.Therefore, translating the word problem into an algebraic equation, we have the following;
M = 1/4(t) + 3
M = t/3 + 3
Based on the graph (see attachment) which models the relationship between the amount of time taken by Rick's bus ride and Matt's bus ride, we can logically deduce that the slope of the graph is 1/4 and the y-intercept is equal to 3.
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An elevator travles 310 feet in 10 seconds. at that speed, how far can this elevaor travles in 12 seconds? explain your reasoning.
Explanation:
We can do cross multiplying through ratios:
310 feet / 10 secs = x feet / 12 secs
10x = 310 * 12
10x = 3720
x = 372 feet
OR
Divide 310 feet and 10 secs to get 31 feet in 1 sec
Multiply 31 ft and 1 sec to get 372 ft in 12 secs
omar is putting money into a checking account.Let y represent the total amount of money in the account (In dollars). Let X reapresent the number of weeks Omar has adding money. suppose that x and y are related equation
y=350 +20x
answer the question below
1)what is the change per week in the amount if money in the account?
2) what was the starting amount of money in the account?
Using linear equation model, the change per week in the amount in the account is 20 dollars per week.
The starting amount of the money in the account is 350 dollars.
How to find the changes per week using equation?Omar is putting money into a checking account. y represent the total amount of money in the account (In dollars). x represent the number of weeks Omar has added money.
x and y are related with the equation y = 350 + 20x
The equation can be modelled to a linear equation.
Therefore,
y = mx + b
where
m = slope b = y-interceptTherefore, according to the equation, the change per week in the amount if money is in the account is 20 dollars per week. The slope is the rate of change.
The starting money amount of money in the account is the y-intercept of the equation which is 350 dollars
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What is the area of the base, B, of the prism?
Area of the base 'B' of a given rectangular prism is equal to 12 ft².
As given in the question,
For the given rectangular prism ,
Shape of the base is rectangle,
Length of the base of a rectangular prism = 4 ft
Width of the base of a rectangular prism = 3ft
Area of the base of a rectangular prism is given by
= ( length of the base ) × ( Width of the base)
Substitute the value of length and width of the base of the rectangular prism we get,
= ( 4 × 3 ) ft²
= 12 ft²
Therefore, area of the base 'B' of given rectangular prism is equal to 12 ft².
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Answer:
Step-by-step explanation:
Which expression gives the volume of a sphere with radius 7?
O A.
(7³)
OB. 4 (7²)
O C.
(7²)
O D. 4 (7³)
The required expression is
(4/3)π(7)³
What is volume?
In three-dimensional space, volume is the area occupied by an object within its borders. Another name for it is an object's capacity.
We are given to select the correct expression that gives the volume of a sphere with a radius of 7 units.
We know that,
the VOLUME of a sphere with radius 'r' units is given by
V=(4/3)πr³
Here, the radius of the given sphere is
r = 7 units.
Therefore, the volume of the sphere will be
V=(4/3)π(7)³
Thus, the required expression is
(4/3)π(7)³
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please help Me I dint get this question
Part a: The side of the square is found as 6 cm.
Part b: The side length of the square is found as 10 cm.
What is the definition of the term perimeter of square?The sum of the lengths of all the sides of a square is its perimeter. Thus, by summing the lengths of a square's four sides, we to get its perimeter.For the given dimensions for the question,
Length = 18 cm.Breadth = 2 cmPart a: Area of square is same as area of rectangle.
Rectangle area = Length x breath
Rectangle area = 18 x 2
Rectangle area = 32 sq. cm
Now,
Area of square = Rectangle area
Area of square = side²
36 = side²
side = √36
side = 6 cm.
Thus, the side of the square is found as 6 cm.
Part b: Side length of square.
Rectangle perimeter = square perimeter
Rectangle perimeter = 2(length + width)
Rectangle perimeter = 2(18 + 2)
Rectangle perimeter = 40
square perimeter = 4 side
40 = 4 side
side = 40/4 = 10 cm.
Thus, the side length of the square is found as 10 cm.
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