Answer:
Side = 3 cm
Step-by-step explanation:
Given:
[tex]\text{Volume of cube} = 27 \ \text{cm}^{3}[/tex]
The formula to calculate the volume is (Side)³.
Thus, we obtained the following equation:
[tex](\text{Side})^{3} = 27 \text{cm}^{3} \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Side}^{3} = \text{Volume of cube}][/tex]
Cube root both sides to obtain the side length of the cube:
[tex]\implies \sqrt[3]{\text{(Side)}^{3}} = \sqrt[3]{27 \ \text{cm}^{3} }[/tex]
Evaluate the side of the cube:
[tex]\implies \sqrt[3]{\text{(Side)}^{3}} = \sqrt[3]{27 \ \text{cm}^{3} }[/tex]
[tex]\implies \sqrt[3]{\text{(Side)}\text{(Side)(Side})} = \sqrt[3]{3 \times 3 \times 3 \times \text{(cm)(cm)(cm)}}[/tex]
[tex]\implies \text{Side = 3 cm}[/tex]
Answer:
3 cm
Step-by-step explanation:
Formula
Volume of a cube = [tex]a^3[/tex] (where a is the side length)
Given that the volume of the cube is 27 cm³, to find the side length, substitute the given volume into the equation and solve for [tex]a[/tex]:
[tex]\implies 27\: \sf cm^3=a^3[/tex]
Cube root both sides:
[tex]\implies \sqrt[3]{27\: \sf cm^3} =\sqrt[3]{a^3}[/tex]
[tex]\implies \sqrt[3]{27}\sqrt[3]{\sf cm^3} =\sqrt[3]{a^3}[/tex]
[tex]\implies 3\: \sf cm=a[/tex]
[tex]\implies a=3\: \sf cm[/tex]
Therefore, the length of each side of the cube is 3 cm.
please help, thank you if you do help me
Answer:
Question 1: -3
Question 2: 5
Step-by-step explanation:
Question 1's value decreses by 3 so the answer is -3 :)
Question 2's value increases by 5 so the answer is 5 :)
Have an amazing day!!
Please rate and mark brainliest!!
what is the probability of pulling a red card out o a deck of cards
Answer:
26/52 or 1/2
Step-by-step explanation:
there's 52 cards in a deck 26 of them are red 26 of them are black
A bank account balance, in dollars, is modeled by the equation f(t)=1000⋅(1. 08)t, where t is time measured in years.
About how many years will it take for the account balance to double? Explain or show how you know
A coin is biased to display heads 75% of the time. it is tossed 20 times, and the outcomes are recorded. the most improbable simulation for this coin is heads.
A percentage is a way to describe a part of a whole. The most improbable simulation for this coin is heads are 9.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
The most improbable simulation for this coin for heads is the frequency of heads coming up out of 20 which is far from the estimated frequency. Since out of these 20 times 75% of the times the head will come up. Therefore, the number of times the head will come up can be written as,
[tex]75\%\ of\ 20\\\\= \dfrac{75}{100} \times 20\\\\= 15[/tex]
Now it is estimated that at least 15 times out of 20, the head will come up. Thus, the most improbable simulation for this coin is heads are 9.
Learn more about Percentages:
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Answer:
A coin is biased to display heads 75% of the time. It is tossed 20 times, and the outcomes are recorded. The most improbable simulation for this coin is
9 heads.
Step-by-step explanation:
Someone, please help me! I will give Brainliest!
Identify the key features of the parabola, 8(y + 4) = (x + 1)2:
Axis of Symmetry:
Vertex:
Focus:
Directrix:
Answer:
Step-by-step explanation:
8(y+4)=2(x+1)
divide by 8 y+4=1/4x+1/4 subtract 4 y=1/4x - 3 3/4 multiply by 4 y=1/4(x-15)
Answers:
Equation in standard form: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex]
Axis of Symmetry: x = -1
Vertex: (-1, -4)
Focus: (-1, -2)
Directrix: y = -6
Step-by-step explanation:
First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.
Our initial equation is: [tex]8(y+4)=(x+1)^{2}[/tex]
In order to put our equation in standard form, we must isolate y, so that it is in terms of y.
First, we need to divide both sides by 8. When we do this, we get [tex]y+4=\frac{(x+1)^{2} }{8}[/tex] or [tex]y+4=\frac{1}{8}(x+1)^{2}[/tex]. Then we need to subtract 4 from both sides to get: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex].
Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is [tex]y=a(x-h)+k[/tex] where [tex]a =\frac{1}{4p}[/tex].
The axis of symmetry is at [tex]x=h[/tex], in this case [tex]h=-1[/tex] so the axis of symmetry is [tex]x=-1[/tex].
The vertex is located at [tex](h, k)[/tex]. As we previously stated [tex]h=-1[/tex], but additionally, [tex]k=-4[/tex] making the vertex located at [tex](-1,-4)[/tex].
The focus is located at [tex](h, k+p)[/tex] and the directrix is located at [tex]y=k-p[/tex]. For this, we need to find p which we can find with the equation [tex]a =\frac{1}{4p}[/tex]. Substituting the value of “a” into the equation, we get [tex]\frac{1}{8} = \frac{1}{4p}[/tex]. We can cross-multiply to get the equation [tex]4p=8[/tex]. Dividing by 4 on both sides, we get [tex]p=2[/tex]. Now we can find the focus and directrix.
The focus is located at [tex](-1, [-4+2])[/tex] or [tex](-1,-2)[/tex] and the directrix is represented by the equation [tex]y=(-4-2)[/tex] or [tex]y=-6[/tex].
Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time
Select the correct answer from the drop-down menu.
Consider each table of values.
Function f
Function g
Function h
х
X
Ax)
х
g(x)
x
х
h(x)
1
5
3
17
N
8.8
N
11
5
25
15.6
4 6
3
29
7
33
6
22.4
4.
83
9
41
8
29.2
of the three functions,
represent linear relationships.
Reset
Next
Answer:
69
6+6 = 12
and
12 + 12 24
24 + 24 48
48 + 12 = 69
You have read 4 of the books shown. Which choice shows 2 ways of writing the fraction of these books that you read?
So it can be shown as:
[tex]\sf \dfrac{read \ books}{total \ books \ in \ list}[/tex]
[tex]\hookrightarrow \sf \dfrac{4}{12}[/tex]
on simplifying
[tex]\hookrightarrow \sf \dfrac{1}{3}[/tex]
So, option 1 is correct.
First one
Let's find
Total read books=4Total books=12fraction:-
4/12Cancel by 4
1/3Hence verified
(2 points 8. Triangle ABC is shown on the graph below! IL 6 1 c. Triangle ABC is translated 1 unit night and 2 units down. What are the coordinates of the translated triangle? d. Use arrow Rotation to write a rule for this translation,
Answer:
see explanation
Step-by-step explanation:
(c)
1 unit right means add 1 to the x- coordinate
2 units down means subtract 2 from the y- coordinate.
A (1, 3 ) → A' (1 + 1, 3 - 2 ) → A' (2, 1 )
B (4, 5 ) → B' (4 + 1, 5 - 2 ) → B' (5, 3 )
C (3, 1 ) → C' (3 + 1, 1 - 2 ) → C' (4, - 1 )
(d)
the translation rule is
(x, y ) → (x + 1, y - 2 )
Nadia needs one cup of ice cream for every student in her class for their year-end party. the ice cream is only sold in pints. if there are 24 students in her class, how many pints of ice cream will she need? describe how to solve this problem.
Answer:
12 pints
Step-by-step explanation:
There are 24 students & each one gets 1 cup, so you will need 24 cups total. There are 2 cups in a pint. You divided the 24 cups you need by 2 cups in a pint to get the answer of 12 pints.
You can double check: 12 pints converted to cups (2 cups in a pint) is 12 x2 = 24 cups
Please help and match the following.
Answer:
-4x^3 is a monomial
2x + 3 is a binomial
5x^2 + 2x - 10 is a trinomial
Step-by-step explanation:
Monomial equations have one term, biomials have two terms, and trinomial have three.
Answer:
-4x^3 is Monomial
2x + 3 is binomial
5x^2 + 2x - 10 is trinomial
Step-by-step explanation:
Monomial means one term
Binomial is 2 terms
Trinomial is 3 terms
Hope this helps!
A bike wheel has a 16-inch diameter. Approximately how far will the wheel travel in three rotations? Use 3.14
for π
Answer:
151 inches
Step-by-step explanation:
"How many buses do you need for 800 people "if each bus holds 175 people?
5 buses
Explanation:
1 bus → 175 people
=======
? bus → 800/175
? bus → 4.57
Rounding to nearest whole number : 5
What are the missing measures for E and J???
Are the triangles similar? Yes or no?
Answer:
No
Step-by-step explanation:
To tell whether two triangles are similar or not, we can compare their side lengths or angle measures
in this case, only angle measure are given so will compare those:
m<F = m<I but this is not enough, we need to compare other angles as well
m<H is not equal to m<G
The sum of interior angles in a triangle is equal to 180
so the measure of angle J
100+55+J = 180
J = 25
The measure of angle E
100+35+E = 180
E = 45
Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.
EASY POINTS!!
Question 4 of 10
True or false? The graph represents a function
A. True
B. False
SUBMIT
Answer: True
Step-by-step explanation:
It passes the vertical line test, no two points are on the same x value
Correct option is A .True . The given graph is of a function by vertical line test
What is a vertical line test for function?The vertical line test is a test that checks whether a given graph is of a function or not. It states that every vertical line passing through the given graph should intersect the graph at most one point .( which comes from the definition of function that that a function takes every point in the input set to a unique image in the codomain set)
For the given graph whenever we will draw a vertical line passing through any point on the domain then it will cut the graph at one point only this can be seen in the attached figure.
Therefore, its true that the given graph represents a function.
∴Correct option is A. True.
Also, Learn more about the vertical line test from the link below:
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im confuseddddddddddddd
Answer:
You spent $14.5
Step-by-step explanation:
You just add tgem ad yeah
Answer:
Step-by-step explanation:
barrier = parameter, so we add all the sides:
8+3+3+5+5 = 24
24*1.75 = $42.
THEN, we need the area to solve for the mulch.
I would split it up into two parts so the rectangle and then the triangle.
First, 8*3 is 24
now we divide this by four because one bag covers four square feet
so, 6 bags (24/4=6) which is $36 (6*$6).
_______________
Now, the triangle, which a = (hb*b)/2
12 divided by four again so 3
3 * 6 = $18.
Now we add ALL costs up to get
42+36+18 = $96 total for the entire project.
Colter rides his dirt bike 8800 yards in 3 days how many miles did he ride?
Answer:
5 miles
Step-by-step explanation:
Step 1: Convert yards to miles
[tex]1760\ yards = 1\ mile[/tex]
[tex]8800\ yards * \frac{1\ mile}{1760\ yards}[/tex]
[tex]5\ miles[/tex]
Answer: 5 miles
PLEASE I REALLY NEED SOMEONE TO ANSWER THIS FOR ME. IF SOMEONE CONTINUES TO ANSWER MY QUESTIONS ILL KEEP UPPING THE POINTS>
Answer:
WHAT NEEDS TO BE ANSWERED?????
Step-by-step explanation:
I CAN MAYBE HELP!!!
Answer:
Which DId you forgot to link it?
Step-by-step explanation:
What is the distance between the points (-4 , -12) and (-4 , 21) in the coordinate plane?
Answer:
33
Step-by-step explanation:
Because 21 goes to 0 then to -12 we add then and it equals 33. I hope this helps!
X = Y + 4
2x - 3y = -2
2) What is the solution to the system of equations?
A) (6, 10)
B) (9.5)
(10.6)
D) (14.10)
Answer:
D) (14.10)
Step-by-step explanation:
x-y=42x -3y= -2
2. (x-y=4)2
(2x -3y= -2) 1
3. 2x-2y=8 (equation 1)
2x-3y =-2 (equation 2)
4.subtract equation 2 from equation 1 to eliminate x
5. y= 10
6. use either of the initial equations to find x eg.
x-y = 4
x- 10= 4
x = 10 + 4
x= 14
therefore x,y = 14,10
two events A and B, are independent P(A)=0.3 P(A and B)=0.24 what is P(B)
Answer: 0.8
Step-by-step explanation: where the events are independent you multiply p(A) by p(B)
please help, thanks if you do
Answer:
(2,7)
Step-by-step explanation:
not sure if this is correct though
Is has length of 6 feet and width of 2 feet and height of 4 feet what is the volume
Answer:
48
Step-by-step explanation:
you multiply the length times width times height to get your answer.
HELP ME PLEASE WORTH 25 points
Answer:
A. 8
Step-by-step explanation:
When finding the radius of a circle given area we have to remember the following formulas
[tex]A=\pi *r^{2}[/tex] and [tex]r^2=\frac{A}{\pi }[/tex] or [tex]r=\sqrt{\frac{A}{\pi } }[/tex]
So using either [tex]r^2=\frac{A}{\pi }[/tex] or [tex]r=\sqrt{\frac{A}{\pi } }[/tex] we fill out the following
[tex]r^2=\frac{64\pi }{\pi }[/tex] [tex]r=\sqrt{\frac{64\pi }{\pi } }[/tex] both would equal 8
The image below explains how we get 8
Alexandra and Stephanie are sisters, and they're saving their money to buy a used car. Together they have more than $2,500, and Alexandra has $700 more than Stephanie. How much money does Stephanie have?
Answer:
Stephanie has more than $900
Step-by-step explanation:
Represent the unknowns: a for Alexandra and s for Stephanie.
Then a + s > $2,500, and a = s + $700.
Substituting the latter into the former equation, we get:
(s + $700) + s > $2,500, or
2s > $1800
Then s > $900; Stephanie has more than $900.
write a function for the line that includes the points (4,-5) and (8,-7)
Answer:
[tex]y = -\frac{1}{2} x - 3[/tex]
Step-by-step explanation:
Answer:
f(x) = -1/2x - 3.
Step-by-step explanation:
The slope of the line = ((-7 - -5) / (8 - 4)
= -2/4
= -1/2.
y - y1 = m(x - x1)
m = -1/2, x1 = 8 and y = -7 so:
y - (-7) = -1/2(x - 8)
y + 7 = -1/2x + 4
y = -1/2x - 3.
PLs help need in 2 minutes
Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?
Question 3 options:
an = 30,000(2)n
an = 29,500(2)n−1
an = 30,000(2)n−1
an = 30,000(0. 5)n+1
Answer:
an = 30000 * 2^(n-1)
Step-by-step explanation:
The explicit rule of Mr. Blue 's salary
is an = 30000 * 2^(n-1)
How to determine the explicit
How to determine the explicitformula?
Mr. Blue's salary is a geometric sequence
with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1* r^(n-1)
This gives
an = 30000 * 2^(n-1)
A scientist wants to estimate the number of lions living in a region.
On Thursday, he locates and tags some lions. I
On Friday he returns and locates 10 less lions than he had on Thursday.
He notices that 4 of the lions are tagged
The scientist works out an estimate for the total number of lions living in the
region.
He notices that the number of lions that he had caught on Thursday, was a
fifth of the total number of lions.
How many lions live in the region?
The number of the lions that live in the region investigated by the considered scientist is 80.
How to form mathematical expression from the given description?You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.
For this case, we're specified that:
He locates and tags lions on ThursdayOn friday, he locates 10 less lions than he had on Friday.He notices (on friday) that 4 of the lions are tagged.The number of lions caught on thursday was a fifth of the total number of lions.Let we take:
x = number of lions the scientist located and tagged on thursday.
Then, we get:
x - 10 = number of lions the scientist located (and assumingly found that they're tagged) on friday,
4 = number of lions he found tagged on friday.
That means, x -10 is same number as 4
or, we get:
[tex]x - 10 = 4\\\text{Adding 10 on both the sides}\\\\x = 14[/tex]
That means, on thursday, the scientist located and tagged 14 lions.
Now, suppose that the region had 'y' number of lions,
Then, as per the data in the question,
one-fifth of y = number of lions located by scientist on thursday
or, we get:
[tex]\dfrac{y}{5} = x\\\\\dfrac{y}{5} = 14\\\\\text{Multiplying 5 on both the sides}\\\\y = 80[/tex]
Thus, the number of lions that live in the region considered is 80
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The total number of lines is 70.
We have given that,
A scientist wants to estimate the number of lions living in a region.
On Thursday, he locates and tags some lions.
On Friday he returns and locates 10 less lions than he had on Thursday.
He notices that 4 of the lions are tagged
The scientist works out an estimate for the total number of lions living in the region.
we have to determine the no of lines in the length.
on Thursday no.of lines=x
on friday=(x-10)=4
x-10=4
add like terms
What is the like terms?Like terms are terms whose variables and their exponents such as the 2 in x^2 are the same.
x=10+4
x=14
No.of total lions =5th of (no. of tagged on Thursday.)
=5(14)
=70
Therefore the total number of lines is 70.
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help im stuck on this question
Answer:
The answer is C. The frequency is 15 more than expected.
Step-by-step explanation:
A dice has 1-6. There are 3 odd numbers and 3 even numbers. So a 50% chance of landing an even number. Since you rolled 30 times and got 18 even then more than half of 30 times.
Ali is collecting signatures for a petition
• He currently has 520 signatures.
• He has 6 more weeks to collect the remaining signatures he needs.
• He needs a total of at least 1,000 signatures before he can submit the petition.
Ali wants to collect the same number of signatures each week.
Which number line represents all possible numbers of signatures Ali could collect in each of the remaining
weeks so that he will have enough signatures to submit the petition?
A
0
+
10 20 30 40 50 60 70 80 90 100 110 120
B. +
0
+ +
10 20 30 40
+
50 60 70 80 90 100 110 120
C
0
+
+
10 20 30 40 50 60 70 80 90 100 110 120
D D
0
10 20 30 40 50 60 70 80 90 100 110 120
Using proportions, it is found that he should collect 80 signatures in each week.
What is a proportion?A proportion is a fraction of a total amount.
He currently has 520 signatures, and needs 1000, hence he needs to collect more 1000 - 520 = 480 signatures.
He has six weeks to collect the signatures, hence the number he needs to collect each week is given by:
N = 480/6 = 80.
More can be learned about proportions at https://brainly.com/question/24372153