Answer:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
Step-by-step explanation:
[tex]\frac{27x^{3}}{4}=125\\27x^{3}=125*4\\27x^{3}=500\\x^{3}=\frac{500}{27}\\x=\sqrt[3]{\frac{500}{27}}[/tex]
An approximation in decimal form would be as follows:
[tex]x=\sqrt[3]{\frac{500}{27}}[/tex]≈ [tex]2.64566842[/tex]
Enter your answer and show all the steps that you use to solve this problem in the space provided.
Find the product and explain the process and reasoning.
0.67 x 0.3 =
Answer: 0.201
Step-by-step explanation:(0.67)(0.3)
0.201 The main point to focus on when multiplying decimals is to just treat the decimals normally, as if they were whole numbers by ignoring the decimal points and multiply them together. Then put the decimal point in the answer.
Evaluate the expression when c=21 and d=4.
c-5d
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
Evaluate the expression when c = 21 and d = 4, c - 5d = ?[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]
Given,
c = 21d = 4c - 5d = ?Let's solve it now :-
[tex] \sf \: c - 5d \\ \\ \sf \: Substitute \: the \: values \: of \: c \: and \: d \\ \\ \sf c - 5d \\ \rightarrow \sf(21) - 5(4) \\ \sf \rightarrow21 - 20 \\ = \boxed{\boxed{\bf \: 1}}[/tex]
The value of the expression is 1.List all info given by the marks on the diagram.
-2 (3y + 2) - 7z - 4(3z+ 8y )
how do you simplify expression with distribution?
Answer:
-38y - 19z - 4
Step-by-step explanation:
You meses to multiply the numbers outside the brackets with the values inside.
First you have -2(3y+2) so you multiply -2 with 3y = -6y and then you multiply the -2 with the +2 = -4. So you're left with -6y - 4 - 7z - 4(3z+8y).
Now do the same with the last one, multiply -4 by 3z = -12z, then multiply -4 with +8y = -32y. You're left with -6y-4-7z-12z-32y.
Now we change the order to make it easier and we have -32y-6y-12z-7z-4, we make the subtractions and we get -38y - 19z - 4
You are making a colorful birthday cake for a birthday party and needs do use 4 drops of food coloring for every 7 ounces of icing how many drops of food coloring do you need if you are using 42 ounces of icing?
You will need 24 drops of food coloring
Because 7x6=42 so we have to multiply 6 by 4 and that is 24
sin(60-theta)sin(60+theta)
Step-by-step explanation:
[tex] \sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\ [/tex]
from difference of two squares:
[tex]{ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}[/tex]
therefore:
[tex] = \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta[/tex]
factorise out ¾ :
[tex] = \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}[/tex]
Kim worked these hours last week: Monday 8, Tuesday 7.5, Wednesday 6.5, Thursday 3, and Friday 9 hours. She is paid $20.25 per hour. (a) How many hours did Kim work last week? (b) What was her gross pay for the week?
Hours (a) Gross Pay ()
The box plot represents a data set
What is the range of the middle 50% of the data?
2
3
5
7
9 10 11 12 13 14 15 16 17 18 19 20 21
8
O
12
O 17
6
Answer: Im gonna say 12
Step-by-step explanation:
Answer: the answer is 6
Step-by-step explanation: I took the quiz
What is 3.6 divided by 4
Answer:
0.9. If that is the answer you are looking for.
Step-by-step explanation:
Answer:
0.9
Step-by-step explanation:
because i diveded it
How to write 72,932 expanded form?
Answer:
70,000+ 2,000 +900 +30 + 2
in expanded form
Step-by-step explanation:
Please help I wanna get an a :(
Answer:
Graph C
Step-by-step explanation:
Point T is located on Graph C at T(1, 7). To help, (x, y) = count over however many spaces horizontally, then count however many spaces vertically.
It will always be this way.
I atom has 17 protons , 18 neutrons, and 17 electrons, what is the mass of this atom
Answer:
35.075
round to 35
Step-by-step explanation:
took the test:D
HELPPPPPPPPPPPPP!!!!
Step-by-step explanation:
1) 4 terms
2) - 6
3) Coefficient = 4x³ + x - 3y
Step-by-step explanation:
There are 4 terms in the expression i.e, 4x²,x,3y and 6The value of the constant term is -64x²+x-3yI hope it was helpful
Shelly and Terrence earned points in t
game by completing various tasks. Shelly completed x tasks and scored 90 points on each one. The
expression below shows Terrence's total points in the game:
90x - 20
What does the constant term of the expression represent?
O The total points Terrence earned
O The total number of tasks Terrence completed
O The sum of Shelly's and Terrence's total points
The difference between Shelly's and Terrence's total points
Answer:
The difference between Shelly's and Terrence's total points
Step-by-step explanation:
The constant is 20. The constant is always on it's own. The variable is x and the coefficient is 90.
If the constant is negative (-), we are assuming that there is a difference. This difference is a comparison. Since Shelly has 90x points and Terrence has 90x - 20. Terrence has less points than Shelly. Terrence has 20 points less (from the expression) and therefore a difference. Since they using Shelly's points (90x) to calculate Terrence points (90x - 20). As you can see both expressions are similar and only the constant makes them unequal, therefore since the constant makes them unequal they are different.
Plz I rllyneed help on this give answers!
Answer:
The answer- I believe is 16.
Step-by-step explanation:
So first let's start with the square root of 4. The square root of 4 is 2 since 2x2 is 4.
Next, 45/5 is 9.
And, 125/25 is 5.
When you add all of them-
2+9+5
you get 16
This construction was created using a compass and a straightedge.
Why is the length of segment RT the same as the length of segment ST?
Answer:
if 'T' is the centre of the circle, then RT and ST are radius, it means, RT=radius and ST=radius, then ST=RT.
seven hundred twelve thousandths in standard form and expanded form
Answer:
Standard: 0.712
Expanded: 0.7 + 0.01 + 0.002
Step-by-step explanation:
Seven hundred twelve thousandths
.tenths,hundredths,thousandths
0.712
Every number in expanded fits in its place.
0.712
^ ^ ^
0.7 0.01 0.002
What is the value of x4y, when x = 16 and y = 2?
1/32
2
2 2/3
4
1/32
Step-by-step explanation:
I am not sure about it .
Please help if you don't want to do both at least do the first one
thx;)
Answer:
the first one is -1 and the second one is -48
Demichael orders a set of numbers on his
homework. In descending order, the first
number is 5 1/2 and the last number is 5 1/3
Which of the following numbers is NOT in
Demichael's list?
A V25
B 5.45
C 5 12 름
D 5.34
The numbers are ordered, such that the first number (the largest one) is:
(5 + 1/2)
And the last number (the smaller one) is (5 + 1/3). Only by knowing this, we will see that the correct options are A and C.
We want to see which of the following numbers is not on the list:
A) √25
B) 5.45
C) 5 12
D) 5.34
One of these numbers can only be in the list if it is larger than (5 + 1/3) and smaller than (5 + 1/2).
To see this easier, let´s rewrite both of these:
5 + 1/2 = 5 + 0.5 = 5.5
5 + 1/3 = 5 + 0.33 = 5.33
Then if a number is smaller than 5.33, the number can't be in the list.
Here we can see two numbers that are smaller than 5.33
These are:
Option A) √25 = 5 < 5.33
Option C) 5.12 < 5.33
And there is no number larger than 5.5
Concluding, the numbers that are not in Demichael's list are:
√25 and 5.12
If you want to learn more, you can read:
https://brainly.com/question/7487419
On a number line what is the distance between -3/2 and 6?
Answer:
7.5 unitsStep-by-step explanation:
The distance is always positive and is same as the absolute value of subtraction of the two numbers on the line.
This can be shown as:
|-3/2 - 6| = |-1.5 - 6| =|-7.5| = 7.5or
| 6 - (-3/2)| = |6 + 1.5| = |7.5| = 7.5Answer:
15/2 or 7.5
Step-by-step explanation:
Distance = x_2 - x_1
Distance = 6 - (-3)/2
Distance = 6 + 3/2
Distance = 12 + 3/2
Distance = 15/2 or 7.5
express 15288 as a product of prime factors
Answer:
The prime factors are: 2 x 2 x 2 x 3 x 7 x 7 x 13
Step-by-step explanation:
Find the mid points of A(3,-6) and B(-5,-2)
Answer:
[tex](-1,-4)[/tex]
Step-by-step explanation:
The mid value of 3 and -5 is -1 because both x-coordinates are 4 units away.
The mid value of -2 and -6 is -4 because both y-coordinates are 2 units away.
Can’t figure out number 35 plz help
This is science btw
Answer:
it is valley
Step-by-step explanation:
it is a valley because the lower numbers in the middle suggest that it gets higher towards the outer layers which means that it goes down in the middle like a hole and a hole is like a valley. :) hope that makes sense
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Answer:
Hello
how are you
step by step explanation
A piece of wire 100 cm long is cut into two pieces, each to be bent to make a square. The length of a side of one square is to be 4 cm longer than the length of a side of the other. How should the wire be cut?
Answer:
The two pieces will be 42 and 58 cms long.
Step-by-step explanation:
Let the length of the smallest square be x cm.
Then the length of the other will be x + 4 cm
So, as there are 4 sides in a square, we have the equation:
4x + 4(x + 4) = 100
8x + 16 = 100
8x = 84
x = 10.5 cm.
So we need 4*10.5 = 42 cms for one square and 4 * 14.5 = 58 cms for th other square.
please answer the question above and pick an answer from the 3 provided
Answer:
B.
w=P-2l/2
Step-by-step explanation:
Answer:
[tex]w = \frac{p - 2l}{2} [/tex]
Step-by-step explanation:
[tex]p = 2l + 2w \\ p - 2l = 2w \\ \frac{p - 2l}{2} = \frac{2w}{2} \\ \frac{p - 2l}{2} = w[/tex]
Good luck
PLZZZZ HELP
Which inequality does the number line represent?
Answer: I had this question on test I put D
I haven’t gotten it graded
Step-by-step explanation:
1 less than twice the sum of a number and 3
Answer:
2(x + 3) - 1
Step-by-step explanation:
Let [tex]x[/tex] represent the unknown number.
From the information given, we can form the equation
[tex]2(x+3)-1[/tex]
Breakdown:
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
2(x + 3) - 1 from "1 less than twice the sum of a number and 3"
If 3 5/6 written as a whole number is four. How would you explain how do you know?
Answer:round up
Step-by-step explanation:since it’s 3 5/6 equals 3.8333333etc it’s rounded up because every .5 and up is rounded up and .4 and down is rounded down