Answer:
Step-by-step explanation:
Given the expression [tex](4z^8)^{-3}[/tex], to evaluate this, we will use one of the law of indices as shown;
[tex](a^m)^n = a^{mn}[/tex]
[tex]4^{-3} * z^{8*-3}[/tex]
[tex]= \frac{1}{4^3} * z^{-24}\\ \\= \frac{1}{64} * \frac{1}{z^{24}}\\ \\= \frac{1}{64z^{24}}[/tex]
Mario's error was that she did not raise the value of 4 to the power of -3. She only raised z^8 to the power of -3 when it is supposed to affect both 4 and z^8
Answer:
The last one
Step-by-step explanation:
In your own words, explain how to find the rate of change of the following graph at x=1. Then find the rate of change at x=1.
Answer:
see below
Step-by-step explanation:
The rate of change is
f(x2) - f(x1)
------------------
x2-x1
Since this is a line we can pick any two points on the line, one befre x=1 and one after x=1
Let x=0 and x=2
f(2) - f(0)
-------------
2-0
4-2
-------
2
2/2
1
The rate of change is 1
Can some one PLEASE answer these for me? (I’ll also mark you brainliest!)
Answer:
0.83
Step-by-step explanation:
Answer:
0.83 A
Step-by-step explanation:
Last year, Deanna bought 225 lamps when customers needed 250 lamps. This year, she bought 300 lamps but only sold 200 lamps. Which set of statements about the percent errors for the two years is true?
The percent error for this year was lower. Deanna estimated better last year.
The percent error for this year was higher. Deanna estimated better last year.
The percent error for this year was lower. Deanna estimated better this year.
The percent error for this year was higher. Deanna estimated better this year.
Answer:
The percent error for this year was higher. Deanna estimated better last year.
Step-by-step explanation:
Answer:
Step-by-step explanation:
6jkyuilyi
The book contains 200 thin sheets of paper.
The student wants to find the average mean, thickness of a sheet of paper in the book
Describe how he can determine such a small distance using only a ruler.
Answer:
Measure all the sheets together and divide by 200
Step-by-step explanation:
An average mean is the sum of something divided by how many things there are. In this case, it is the sum of the thickness of 200 pages, divided by the number of pages, 200.
Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate. Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.
Step-by-step explanation:
ATQ,
Let d be the number of kilograms of dark chocolate she buys and m be the number of kilograms of milk chocolate she buys.
She needs to buy 120 kg of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
So,
m = 2d .....(1)
m + d = 120 ...(2)
We can also solve the above equations,
Put m = 2d in equation (2)
2d + d = 120
3d=120
d = 40
Put d = 40 in equation (1)
m = 2(40)
m = 80
Hence, she will need 40 kg of dark chocolate and 80 kg of milk chocolate.
Answer:
d+m=120
d=2m
Step-by-step explanation:
If a point P(x,y) is the equidistant from the points A(2,3) and B(6,1), find the equation of locus of moving point P.
please answer it and I will mark your answer as the brainliest..please..!!!
Answer:
[tex]y=2x-6[/tex]
Step-by-step explanation:
A locus can be defined as a curve or figure formed by all the points satisfying a particular equation of the relation between coordinates.
The condition stated in the question is such that a generic (x,y) point of the curve is equidistant from the points A(2,3) and B(6,1).
The distance d1 from (x,y) to (2,3) is:
[tex]d_1=\sqrt{(x-2)^2+(y-3)^2}[/tex]
The distance d2 from (x,y) to (6,1) is:
[tex]d_2=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Since d1=d2:
[tex]\sqrt{(x-2)^2+(y-3)^2}=\sqrt{(x-6)^2+(y-1)^2}[/tex]
Squaring both sides:
[tex](x-2)^2+(y-3)^2=(x-6)^2+(y-1)^2[/tex]
Operating:
[tex]x^2-4x+4+y^2-6y+9=x^2-12x+36+y^2-2y+1[/tex]
Simplifying all the squares:
[tex]-4x+4x+4-6y+9=-12x+36-2y+1[/tex]
Moving the variables to the left side and the numbers to the right side:
[tex]-4x+12x-6y+2y=36+1-4-9[/tex]
Simplifying:
[tex]8x-4y=24[/tex]
Dividing by 4:
[tex]2x-y=6[/tex]
Or, equivalently:
[tex]\boxed{y=2x-6}[/tex]
What is a good problem to use for an inequality equation? using ax + b > c. Including the solution.
Answer:
A "solution'' of an inequality is a number which when substituted for the variable makes the inequality a true statement. When we substitute 8 for x, the inequality becomes 8-2 > 5. Thus, x=8 is a solution of the inequality.Step-by-step explanation:
Answer:
the person above me is correct
Shark boi U~U
PLZ HELP ME
8.9 x 10 EXP -5
4.41 x 10 EXP -2
0.000009 in scientific notation
Answer:
8.9 x 10^-5 = 0.000089
4.41 x 10^-2 = 0.0441
0.000009 = 9 x 10^-6
Write the expression as a simplified rational expression. Show your work.
(6x+2)/(1/x + 1/(2x+1))
Answer:
Answer:
4x^2 + 2xStep-by-step explanation:
(6x+2)/(1/x + 1/(2x+1))= 2(3x + 1)/((2x + 1 + x)/x(2x+1)) =2(3x + 1)x(2x+1)/(3x+1) = 2x(2x + 1) = 4x^2 + 2xAnswer:
4x^2 + 2x
Step-by-step explanation:
i just did this
How do I turn a equation to factored form
Answer:
what equation is it?? bc it's important to know witch one
the place value of 2 in 5.32 is
Answer: hundredths
Step-by-step explanation:
The second number past the decimal point is the hundredths place
A man drove 13 mi directly east from his home, made a left turn at an intersection, and then traveled 5 mi north to his place of work. If a road was made directly from his home to his place of work, what would its distance be to the nearest tenth of a mile?
Answer:
13.93 miles
Step-by-step explanation:
From the given information:
we are being told that a drove 13 miles towards east from home.
and make a left turn due north, thus travel 5 miles.
The objective is to find the man's distance from his starting point(i.e. his home) to his place of work.
Let the horizontal base distance be x = adjacent side = 13 miles
Let the vertical distance be y = opposite side = 5 miles
Let the slant distance be z = hypotenuse side = ??? (unknown)
Therefore, using the pythagoras theorem.
(hypotenuse)² = (opposite)² + (adjacent)²
z² = y² + x²
z² = 5² + 13²
z² = 25 + 169
z² = 194
[tex]z = \sqrt{194}[/tex]
z = 13.93 miles
Evaluate 2a^2-b^3 for a = 4 and b=-3
Answer:
59
Step-by-step explanation:
2a^2 - b^3
a = 4, b = -3
substitute in the given values and solve
2*4^2 - -3^3
remember the order of operations, exponents first
2 * 4^2 - - 3^3
= 2 * 16 - - 27
simplify
2 * 16 - -27
=32 - - 27
= 32 + 27
= 59
What is the graph for y=3(x-1)^2
Answer:
I attached it
Step-by-step explanation:
what 2 numbers does 10 fall between
Answer:
9 and 11
Step-by-step explanation:
Answer:
1 and 11
Step-by-step explanation:
In the expression 3x2y + 4x – 5x2y, are the terms 3x2y and –5x2y like terms? Explain by providing support for your answer.
Answer:
yes
Step-by-step explanation:
These are like terms because they have the same variables and powers. The coefficients do not need to match for it to be considered a like term.
Answer:
Sample Response: Yes, they are like terms because like terms have the same variables raised to the same powers. Both terms contain an x and y variable with the x variable squared.
Step-by-step explanation:
salma cut a wire into 4 equal pieces. the wire was originally 7.88 meters long. how long is each piece?
Answer:
1.97 meters long
Step-by-step explanation:
divide meters by pieces
Please make me Brainliest
The length of each piece is 1.97 meters.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Length of the wire = 7.88 meters
Number of wire cut into equal pieces = 4
The length of each equal piece.
= 7.88 ÷ 4
= 7.88/4
= 1.97 meters
Thus,
The length of each wire is 1.97 meters.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ2
Can anyone do this question?
Answer:
its simple 5.90
Step-by-step explanation:
I need help please I don’t understand this
Answer:
cosB = 21/75, tanB = 72/21
Step-by-step explanation:
Here, we can use pythagoras to figure out all sides. 75^2-72^2 = 21^2. So, we have sides with lengths 21, 72, and 75. We are given that sinB = 72/75. The definition of sin is opposite of hypotenuse. So, the opposite of angle B is side CA and the hypotenuse is BA. This allows us to find that BC is the 21 length side. The cos of an angle is adjacent over hypotenuse. In this case, it is BC/BA which is 21/75. similarly, Tan is opposite over adjacent or 72/21. And we are done. Those are the values. TO remember these, use the acronym:
SOH CAH TOA. S refers to sin and OH refers to opposite over hypotenuse. Similarly C is cos, A is adjacent, and H is hypotenuse, and then T is tan, o is opposite and A is adjacent.
6 of 12
Sam had a bank account balance of $32. He deposited $28 into his account
Which statement is true about his balance after making the deposit?
A
His balance will be less than $32
B
His balance will be greater than $28.
С
His balance will be between S0 and $28
His balance will be between $32 and $0
Answer:his balance will be between 0 and 28
Step-by-step explanation:
Which must be present in order for factoring by grouping to apply? - The ratios of the first two terms and the second two terms must be positive. - The ratio of the first two terms must be equivalent to the ratio of the last two terms. - There must be at least three terms. - The first and the last terms must be perfect squares.
Answer:
For factoring by grouping to apply, the ratio of the first two terms must be equal to the ratio of the last two terms
Step-by-step explanation:
Here, we want to select which of the options must be present in order for factoring by grouping to apply.
The correct answer is that the ratio of the first two terms must be equivalent to the ratio of the last two terms
What this mean is that we must have an equal ratio two times
This practically plays out each time we are to factorize quadratic expressions
For example, in the case of
x^2 -12x + 20
This can be written as;
x^2 - 10x - 2x + 20
which can then be written as x(x-10) -2(x -10)
= (x-2)(x-10)
The first two terms have a ratio of ;
x^2/-10x while the last two terms have a ratio -2x/20
Thus, we have -x/10 and -x/10
We can see here that the ratios of both sets are equivalent
Answer:
The ratio of the first two terms must be equivalent to the ratio of the last two terms
GIVING BRAINLIEST, THANKS AND FIVE STARS TO RIGHT ANSWER! HAVE A GREAT DAY THANK YOU :D
Which of the multiplication properties is shown?
16 × 27 = 27 × 16
Zero Property of Multiplication
Identity Property of Multiplication
Commutative Property of Multiplication
Associative Property of Multiplication
Answer:
commutative property of multiplication
Step-by-step explanation:
Answer:
The correct answer is the Commutative Property of Multiplication
Step-by-step explanation:
The Zero Property of Multiplication states that the product of two nonzero elements is nonzero.
The Identity Property of Multiplication states that the product of 1 and any number is that number.
The Commutative Property of Multiplication states that the order in which we multiply numbers does not change the product.
The Associative Property of Multiplication states that the way in which factors are grouped in a multiplication problem does not change the product.
1. Write as a base with a positive exponent, then evaluate. Write your final answer as a
fraction where required.
a) 4^-2
Answer:
Well a base with a positive exponent would be 5^3. All this means is 5x5x5 which is 125.
Step-by-step explanation:
Hope this helps!
How many 4-letter “words” can be made using all the letters in BEEP, if the two Es are indistinguishable? Two such “words” to include are BEEP and EBEP.
ANSWER PLS
thank you so much!
beep and peeb and bee and pee
Answer:
6
Step-by-step explanation:
the one E doesn't count so 3! is 3*2*1 which is 6
PLZ MARK ME BRAINLIEST
Can someone please help me answer these
Step-by-step explanation:
5: odd
6: even
7: even
That's your answer
5 + 3 + 52 × 5 − 2 =
Answer:
164 With the parenthesis
266 without parenthesis
While scuba diving, Alex counted the number of sea turtles and jellyfish he saw. After a few minutes, he counted 4 sea
turtles and 12 jellyfish. This ratio remained consistent during the remainder of his dive.
Part A
Using the given ratio, complete the table.
Number of
Number of
Sea Turtles
Jellyfish
1
4
24
14
60
Answer:
The values which are added to the table are;
Sea turtles = 1, Jellyfish = 3
Sea turtles = 4, Jellyfish = 12
Jellyfish = 24, Sea turtles= 8
Sea turtles = 14, Jellyfish = 42
Jellyfish = 60, Sea turtles= 20
Step-by-step explanation:
The given parameters are;
The ratio of sea turtles to jellyfish = 4:12
Therefore, the ratio of sea turtles to jellyfish = 1:3
Which gives;
When the number of sea turtles = 1, the jellyfish = 1 × 3 = 3 Jellyfishes
When the number of sea turtles = 4, the jellyfish = 4 × 3 = 12 Jellyfishes
When the number of sea jellyfishes = 24, the number of sea turtles = 24/3 = 8 sea turtles
When the number of sea turtles = 14, the jellyfish = 14 × 3 = 42 Jellyfishes
When the number of sea jellyfishes = 60, the number of sea turtles = 60/3 = 20 sea turtles
The values given in the table can be presented as follows;
Number of Sea Turtles [tex]{}[/tex] Number of Jellyfish
1 [tex]{}[/tex] 3
4 [tex]{}[/tex] 12
8 [tex]{}[/tex] 24
14 [tex]{}[/tex] 42
20 [tex]{}[/tex] 60
In the fraction 11/12 the_is 11
Answer:
numerator
Step-by-step explanation:
.,.............
Luke received an inheritance of $15000 that he divided into three parts and invested in three ways: in a money-market (x) fund paying 4% annual interest;in municipal bonds (y) paying 3.5% annual interest; and in mutual funds (z) paying 8% annual interest. Luke invested twice in mutual funds than in money-market fund. He earned $845 in interest the first year. How much did Luke invest in each type of fund?
Answer:
Kindly check explanation
Step-by-step explanation:
Total principal invested = $15000
Investment x at 4% (0.04)
Investment y at 3.5% = 0.035
Investment z at 8% = 0.08
z investment = 2x
Total interest earned = $845
Simple interest = principal * rate * time
y * 0.035 + x * 0.04 + 2x * 0.08 = 845
0.035y + 0.2x = 845 - - - (1)
y + x + 2x = 15000
3x + y = 15000 - - - - (2)
y = 15000 - 3x
0.035(15000 - 3x) + 0.2x = 845
525 - 0.105x + 0.2x = 845
525 + 0.095x = 845
0.095x = 845 - 525
0.095x = 320
x = 320/0.095
x = 3368.42
Z = 2x
Z = 2 * 3368.42 = $6736.84
y = 15000 - 3(3368.42)
y = $4894.74
At Cheng's Bike Rentals, it costs $23 to rent a bike for 4 hours. How many hours of bike use does a customer get per dollar?
Step-by-step explanation:
5.75 dollers cause 23 ÷ by 4 is 5.75