Answer:
b
Step-by-step explanation:
Select the correct answer. Which expression is equivalent to the given expression? (6n^-5)(3n^-3)^2
The equivalenet expression is 54\(n^{-11}\)
What is expression?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression.
What is exponent?The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
To simplify the given expression, we need to apply the power of a power rule, which states that to raise a power to another power, we need to multiply the exponents.
Starting with:
(\(6n^-5\))(\(3n^-3\))²
We can simplify as follows:
(\(6n^-5\))(\(9n^-6\))
Now, we can use the product of powers rule, which states that when multiplying two powers with the same base, we add their exponents.
Therefore:
6 x 9 = 54
\(n^-5 * n^-6 = n^-11\)
So the simplified expression is:
\(54n^-11\)
Therefore, the expression \((6n^-5)(3n^-3)^2\) is equivalent to \(54n^-11.\)
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The expression that is equal to (6n-5)(3n-3) option D, 54n11.
What is expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement.
We can use the distributive property of multiplication to expand the expression (6n - 5)(3n - 3) as follows:
(6n - 5)(3n - 3) = 6n(3n) - 6n(3) - 5(3n) + 5(3)
= 18n² - 18n - 15n + 15
= 18n² - 33n + 15
Therefore, the expression that is equivalent to (6n - 5)(3n - 3) is 18n² - 33n + 15, which is option D.
So, the answer is option D, 54n11.
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The Unit Circle
What is tan 45°?
a. 0
b. 1
c. -1
d. 1/2
Please select the best answer from choices provided
Answer:
B. 1
Step-by-step explanation:
I calculated it logically
Please solve this equation algebraically and explain all the steps you did to find the answer.
6 - 4a = -10
PLEASE EXPLAIN ALL STEPS
Answer:
a = 4
Step-by-step explanation:
first, you are supposed to subtract both sides by 6 so you will get:
6 - 4a = -10
-6 -6
-4a = -16
Then, you divide both sides by -4 to cancel out the -4 before the "a"
-4a = -16
-4 -4
Last, you will get a = 4 and that is your answer because when you divide a negative number by another negative number, you will get a positive number.
What ordered pair is closest to a local minimum of the
function, f(x)?
Х
-2
-1
0
f(x)
-8
-3
-2
4(-1, -3)
(0, -2)
(1.4)(2, 1)
Answer:
(-1, -3)
Step-by-step explanation:
Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). That is not among the answer choices, so you must select the answer choice that has the smallest y-value that is -8 or greater.
(-1, -3) is the closest to the local minimum
Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). The smallest y-value that is -8 or greater. (-1, -3) is the closest to the local minimum.
What is mathematical function?In mathematics, a function is a statement, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.
Y and x are coupled in such a way that there is a distinct value of y for each value of x, and this relationship is frequently represented as y = f(x), or "f of x." In other words, the same x cannot include multiple values for f(x). A function connects an element x with an element f(x) within another set, which utilises the language underlying set theory. Of the ordered pairs given in the table, the one with the smallest y-value is (-2, -8). The smallest y-value that is -8 or greater. (-1, -3) is the closest to the local minimum.
Therefore, (-1, -3) is the closest to the local minimum.
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Kiyo invites 5 friends to a sporting event.
Tickets cost $40 each. He knows at least one
friend will choose to attend the event.
Answer: 40 dollars
Step-by-step explanation:
i hope the explanation is right:)
If he invites 5 friends for 40 bucks each then one friend that he knows will go is 40 dollars. So the only thing you have to do for this problem is multiply 40 by the number of friends which in this case i believe is 1.
Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%. z equals fraction numerator p with hat on top minus p over denominator square root of begin display style fraction numerator p q over denominator n end fraction end style end root end fraction The z statistic for this data is __________. -0.56 0.45 -0.45 0.56
Answer:
0.56
Step-by-step explanation:
RATIONALE
To make things a little easier, let's first note the denominator
We can now note that
Finally, subbing all in we find
Answer:
0.56
Step-by-step explanation:
AB= 6 cm, AC = 12 cm
Calculate the length of CD.
Give your answer to 3 significant figures.
55°
CA=12 cm
B=6 cm
The length of CD is 12.686
From the figure, we have,
AB= 6 cm, AC = 12 cm
In Δ ABC,
Using Pythagoras Theorem,
AC² = AB + BC²
12² = 6² + CB²
CB² = 12² - 6²
CB² = 144 - 36
CB² = 108
∴ CB = √ 108 cm.
In Δ BCD,
sin 55°= perpendicular / hypotenuse
sin 55° = CB / CD
0.81915 = √108 / CD
CD = 10.392 / 0.81915
CD = 12.686
Multiplication:
In mathematics, multiplying the numbers is used to find the product of two or more numbers. We carry out one of the basic mathematical operations on a regular basis. The main application that is obvious is using multiplication tables. Mathematicians use the multiplication of two integers to express the repeated addition of one number to another. These numbers can be natural numbers, fractions, integers, whole numbers, etc. M is either added to itself 'n' times or subtracted from itself when m is multiplied by n.
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A manufacturer of the latest basketball shoes has found that the revenue received from selling the shoes at a cost of p dollars each is given by the polynomial. R ( p ) = − 4 p 2 + 410 p Find the revenue received when p = 91 dollars. The revenue is
Given that:
\(R(p)=-4p^2+410p\)To find the revenue received when p equals 91 dollars, substitute 91 for p into the formula of R(p).
\(\begin{gathered} R(91)=-4\cdot91^2+410\cdot91 \\ =4186 \end{gathered}\)4186 dollars received from selling the shoes at a cost of 91 dollars.
a water tank holds 208 gallons but is leaking at a rate of 3 gallons per week. a second water tank holds 312 gallons but is leaking at a rate of 5 gallons per week. after how many weeks will the amount of water in the two tanks be the same?
Answer:
x = 64 weeks
Step-by-step explanation:
Based on the quantity of water in the tanks and the leakage rate, the two tanks will be equal after 64 weeks.
The first tank has 256 gallons and is leaking at 3 gallons per week. Assuming the number of weeks is x, the expression is:
= Water in tank - (Gallons leaking per week x No. of weeks)
= 256 - (3 × x)
= 256 - 3x
The second tank:
= 384 - 5x
To find the number of weeks they would be equal, equate both tanks:
384 - 5x = 256 - 3x
384 - 256 = -3x + 5x
128 = 2x
x = 128 / 2
are the triangles congruent. if they are state how they are congruent.
Answer:
Step-by-step explanation:
Yes, the triangles are congruent.
SSS
Answer:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
2.2 Determine the general solution of 2.2.1 3 sin x = cos x
2.2.2 2 cos²x + 5 sin x = 4
Step-by-step explanation:
try this solution, note, the answers are underlined with green colour.
Joy sells two types of yarn: wool and synthetic. Wool is $12 per skein and synthetic is $9 per skein. If Joy sold 16 skeins of synthetic and collected a total of $432, how many skeins of wool did she sell?
Simplify: 3√5⋅√10+11√5⋅√10−√5
26√50
14√15−√5
14√50−√5
6√35
Answer:
When multiplying radical expressions with the same index, we use the product rule for radicals. If a and b represent positive real numbers,
Example 1: Multiply:
√2⋅√6
Solution: This problem is a product of two square roots. Apply the product rule for radicals and then simplify.
Step-by-step explanation:
Hope this helps . ;)
2. Suppose the price of good x increased from 4 birr to 5 birr. Because of change price of good x, quantity demand of good y changed from 5,000 to 6,250. a. Find cross price elasticity of demand b. What types of goods (good x and good y) are?
Based on the cross-price elasticity of Demand, we can conclude that good X and good Y are substitutes.
Let's calculate the cross-price elasticity of demand using the given information:
a. Find the percentage change in quantity demanded of good Y:
Percentage Change in Quantity Demanded of Good Y = (New Quantity Demanded - Initial Quantity Demanded) / Initial Quantity Demanded * 100
Percentage Change in Quantity Demanded of Good Y = (6250 - 5000) / 5000 * 100 = 25%
b. Find the percentage change in the price of good X:
Percentage Change in Price of Good X = (New Price - Initial Price) / Initial Price * 100
Percentage Change in Price of Good X = (5 - 4) / 4 * 100 = 25%
Now, we can calculate the cross-price elasticity of demand:
Cross-Price Elasticity of Demand = Percentage Change in Quantity Demanded of Good Y / Percentage Change in Price of Good X
Cross-Price Elasticity of Demand = 25% / 25% = 1
b. Based on the calculated cross-price elasticity of demand, we can determine the types of goods:
If the cross-price elasticity of demand is positive (as in this case, where it is 1), it indicates that the two goods are substitutes. This means that when the price of good X increases, the quantity demanded of good Y also increases, suggesting that consumers view these goods as alternatives to each other.
Therefore, based on the cross-price elasticity of demand, we can conclude that good X and good Y are substitutes.
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Answer:
Step-by-step explanation:
Convert 2,430 yards to km
Answer:
2.221992
Step-by-step explanation:
can i have the crown pls ૮ ♡ﻌ♡ა
Answer:
2.221
Step-by-step explanation:
Martha made a purchase for $70.20 including 8% sales tax.
What was the total before tax?
Answer:
64.58
Step-by-step explanation:
100%-8%=92%
70.20*92%=64.58
the partial circle has a radius of 11 inches
What is the area of this figure? ANSWER ASAP
Answer:
285.1 in.²
Step-by-step explanation:
The circle is a ¾ circle.
Area of the figure = ¾(πr²)
Radius (r) = 11 in.
Plug in the value
Area = ¾(π*11²)
Area = ¾(π*121)
Area = 285.099533 ≈ 285.1 in.² (nearest tenth)
I’LL GIVE BRAINLIEST, A HEART, AND 5 STARS TO WHOEVER ANSWERS FIRST
(Please answer ALL questions and show how you got the answer!)
Group B has lower range.
Group A shows variability.
Mean is the best to make concussion about age of Salsa students.
Upon visual examination, it appears that Group A is likely to have a lower average age of music students compared to Group B.
This inference is supported by the observation that the majority of data points in Group B are concentrated around younger ages.
In contrast, Group A exhibits a more dispersed distribution of data points across a wider range of ages, including higher.
So, Group B has lower range.
and, Group A shows variability.
Lastly, Mean is the best to make concussion about age of Salsa students.
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What is the solution to the compound inequality: 10<2x-4<20
Answer:
7 < x < 12
Step-by-step explanation:
To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.
\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)
What happens to the width of a confidence interval for a population mean if the level of confidence is increased without changing the sample size? Assume that the population standard deviation is unknown and the population distribution is approximately normal. Select your answer from the choices below.
Answer:
The increase in the level of confidence means that the interval will be wider.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
\(M = z\frac{s}{\sqrt{n}}\)
In which z is related to the confidence level(if the confidence level increases z increases), s is related to the standard deviation and n is the sample size.
The higher the margin of error, the wider the interval is.
In this question:
Increasing the level of confidence will mean an increase in z, and thus, since M and z are directly proportional, the margin of error will increase, and the inteval will be wider.
The entrance fee to a fair is $12. Rides cost $4. The total cost, C, as a function of the number of rides, R, is given by C = 4R + 12
Answer:
the answer would be B. R=C/4-12
Step-by-step explanation:
In order to find the total cost of the rides you would have to multiply the rides by their cost and then add on the entrance fee, however if you were to find the number of rides you would have to divide the total cost by 4 and then subtract 12 leaving the number of rides made.
r(x)=x-6 s(x) = 2x2 write the expressions for (r+s)(x) and (r-s)(x) and evaluate (r-s)(-2).
r(x)=x-6
s(x) = 2x²
(r + s)(x) = r(x) + s(x) = x - 6 + 2x² = 2x² + x - 6
(r*s)(x) = r(x)*s(x) = (x - 6)(2x²)
Using distributive property:
(r*s)(x) = 2x³ - 12x²
(r - s)(-2) = r(-2) - s(-2) = (-2-6) - 2(-2)² = -8 - 8 = -16
which is equal to (sinx+cosx)^2+(sinx-cosx)^2 using identities?
The expression (sinx + cosx)^2 + (sinx - cosx)^2 simplifies to
4 + 2sinxcosx.How to simplify the identityTo simplify the expression (sinx + cosx)^2 + (sinx - cosx)^2 using trigonometric identities, we can expand and simplify the expression.
Expanding the squared terms
(sin^2x + 2sinxcosx + cos^2x) + (sin^2x - 2sinxcosx + cos^2x)
Using the trigonometric identity sin^2x + cos^2x = 1, we can simplify further:
(1 + 2sinxcosx + 1) + (1 - 2sinxcosx + 1)
Simplifying the expression, we have:
2 + 2sinxcosx + 2
Combining like terms, we get:
4 + 2sinxcosx
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how much is an 18% tip on a 14$ lunch?
HELP!!!! Write an exponential function to describe the given sequence of numbers.
Answer:
y = 5^(x+1)
Step-by-step explanation:
y = 5^(x+1)
x = 1 for the initial step
always, sometimes, or never true.
The acute interior angles of a right triangle are complementary
Step-by-step explanation:
sometimes ....................
10 in.
13 in.
16 in.
What is the Surface area of the triangular prism
Answer:
about 704 in 2
Step-by-step explanation:
surface area-2Ab+Pb*h
=2(13*8)+49.6(10)
=704
if 12,6 cm is equal to 1 262 km in real life determine the unit scale of the map
\(\textbf{Hello!} \\\\\underline{\textbf{Set ~values~ to~ the same~ unit~ of ~measure :}} \\\\\sf 12,6cm\\1262km = 126200000cm\\\\\\\underline{\textbf{Find~the~scale :}}\\\\\sf scale = \dfrac{12.6}{126200000}=\dfrac{1}{10015873.02}\\\\\\\underline{\textbf{The answer :}}\\\\\boxed{\sf The ~scale~of ~the~map~is ~~\dfrac{1}{10015873.02}.}\\\)
If John solved the equation x² - 10x +8=0 by completing the square, one of the steps in his process would
be:
(z-5)² = 17
(z+4)² =10z+16
(z+4)² =10z
(2-5)² = -8
If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 10x + 8 = 0
x² - 10x = -8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = 8 + (-10/2)²
x² - 10x + 25 = -8 + 25
x² - 10x + 25 = 17
By simplifying, we have;
(x - 5)² = 17
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The roots of a quadratic equation are
1/ 3 and -2. Determine the equation
Answer: God
Step-by-step explanation:
The reason it’s god is because god created everything so he know everything. So your answer is god