Answers:
V = 30 cubic cm
D = 4 grams per cubic cm
=========================================================
Explanation:
The volume of a rectangular solid (aka block or brick) is equal to its length times width times height
V = length*width*height
V = 5*2*3
V = 10*3
V = 30 cubic cm
-------------
You haven't mentioned it, but the "D" probably refers to the density. This is a measure how much stuff occupies a certain volume of space. The higher the density, the more stuff in that space. Think of it like cramming more packing peanuts in a box.
To find the density, we divide the mass over the volume
density = mass/volume
density = (120 grams)/(30 cubic cm)
density = 4 grams per cubic cm
In each cubic centimeter of space, there are 4 grams of mass.
The probability that at least one number is odd and the sum of the two numbers is even is. The probability that exactly one number is 6 and the product of the two numbers is at most 15 is.
The probability that at least one number is odd and the sum of the two numbers is even is 1/4
The probability that exactly one number is 6 and the product of the two numbers is at most 15 is 1/9
The easiest way to figure out probability problems with small data sets is to write out your entire sample space and then divide by the total:
Sample size = 6 * 6 = 36
S = {[1,1],[1,2],[1,3],[1,4],[1,5],[1,6],[2,1],[2,2],[2,3],[2,4],[2,5],[2,6],[3,1],[3,2],[3,3],[3,4],[3,5],[3,6],[4,1],[4,2],[4,3],[4,4],[4,5],[4,6],[5,1],[5,2],[5,3],[5,4],[5,5],[5,6],[6,1],[6,2],[6,3],[6,4],[6,5],[6,6]}
The only way to make a number combination that's even while 1 die is odd is to have 2 odd numbers.
{[1,1],[1,3],[1,5],[3,1],[3,3],[3,5],[5,1],[5,3],[5,5]}
This gives us 9 results.
The probability of this happening is 9/36 = 1/4 = 0.25
Now if we have to get a 6 with the product being at most 15 we know that the biggest number that 6 can be multiplied by is 2 which gives us 12.
We are left with 4 options:
{[1,6],[2,6],[6,1],[6,2]}
The probability of this happening is 4/36 = 1/9 = 0.1111...
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Question Prog
One-third of a number is 12.
Work out one-half of the number.
One-half of the number is 18.
Given that
One-third of a number is 12.
Let "x" be the number
Given that,
One-third of a number is 12
Which means,
[tex]\frac{1}{3} *x = 12[/tex]
x = 3*12
x = 36
Thus the number is 36
Work out one-half of the number
one half of the number = [tex]\frac{x}{2}[/tex]
one half of the number = [tex]\frac{36}{2}[/tex]
one half of the number = 18
Hence the answer is, one-half of the number is 18.
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Given
Complete the sentences
Parallel or not parallel
HELP SOLVE PERSON WHO SOLVES GETS 30 POINTS
The true proportion of the similar triangles is [tex]\frac{AC}{AE} = \frac{BC}{BD}[/tex]
What are similar triangles?Two triangles are similar if they have the same ratio of corresponding sides and equal pair of corresponding angles.
In other words, similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other.
Therefore,
ΔACE is similar to ΔBCD
Hence,
[tex]\frac{AC}{BC}=\frac{AE}{BD}=\frac{CE}{CD}[/tex]
Therefore, the proportion that is true for the ΔACE and ΔBCD is [tex]\frac{AC}{AE} = \frac{BC}{BD}[/tex]
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HELPPP
im supposed to be turning this in in like 20 minutes
The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.
Given that,
The equations,
D=1-x² and C = -1-3x²+4x
We have to find the expression 3D-3C in standard form.
What the expression?Mathematical statements are called expressions if they have at least two terms that are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
We get,
3D-3C
3(1-x²)-3(-1-3x²+4x)
3-3x²+3+9x²-12x
6+6x²-12x
6x²-12x+6
Therefore, The expression of 3D-3C is 6x²-12x+6 in the standard form when the D=1-x² and C = -1-3x²+4x.
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guys help what is the answer to this need the answer asap
Whats 1+1=?
Answer:
2
Step-by-step explanation:
Question:
1 + 1 = ?
1 + 1 = 2
Does the quadratic function
f(x) = 5x² + 5x + 21 have one,
two, or no real zeros? Utilize the
quadratic formula to determine
the answer.
Answer:
No real zeros.
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{7.4 cm}\underline{Discriminant of the Quadratic Formula}\\\\$b^2-4ac$ \quad when $ax^2+bx+c=0$\\\\When $b^2-4ac > 0 \implies$ two real zeros.\\When $b^2-4ac=0 \implies$ one real zero.\\When $b^2-4ac < 0 \implies$ no real zeros.\\\end{minipage}}[/tex]
The value of the discriminant shows how many zeros the function has.
Given quadratic function:
[tex]f(x)=5x^2+5x+21[/tex]
Therefore:
a = 5b = 5c = 21Substitute the values into the discriminant and solve:
[tex]\begin{aligned}\implies b^2-4ac&=(5)^2-4(5)(21)\\& = 25 - 20(21)\\&=25-420\\&=-395\end{aligned}[/tex]
Therefore, as -395 < 0, there are no real zeros.
Ken hikes a trail at a constant rate of 4/5 of a mile of a mile every 2/5 if an hour.he stops for a 3/4 hour lunch.he wants to hike at least 20 miles
Answer:
below
Step-by-step explanation:
Rate = 4/5 mi / 2/5 hr = 2 mi /hr
3/4 hr for lunch
20 miles / 2 miles/hr + 3/4 hr = 10 3/4 hr to hike 20 miles with a lunch
Solve for g.
l= gT2
47²
What is g equal to?
g=1²2
g=4771
g=47²lT2
g=47
On solving the given equation for g you will get [tex]g=\frac{4\pi^2l}{T^2}[/tex]. Any equation can be solved by using properties of equality of eqatuion.
Which properties are use to solve the equation?
The following 4 properties are use to solve any equation:
(1) Addition: Add same number on both side of the equation.
(2) Subtraction: Subtract same number from both side of the equation.
(3) Multiplication: Multiply with the same number on both the sides of the equation.
(4) Division: Divide with the same number on both sides of the equation.
Now, consider the given equtaion.
[tex]l=\frac{gT^2}{4\pi^2}[/tex]
Multiply both sides with [tex]4\pi^2[/tex].
[tex]l(4\pi^2)=\frac{gT^2}{4\pi^2}4\pi^2\\l(4\pi^2)=gT^2[/tex]
Divide both sides with [tex]T^2[/tex]
[tex]\frac{4\pi^2l}{T^2}=\frac{gT^2}{T^2}\\\frac{4\pi^2l}{T^2}=g\\g=\frac{4\pi^2l}{T^2}[/tex]
Hence, on solving the given equation for g you will get [tex]g=\frac{4\pi^2l}{T^2}[/tex].
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If their food and beverages cost $25.30 and there is an 8% meals tax, , After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage.
The tip is 18%
From the question, we have
food and beverages cost = $25.30
meals tax = 8%
Tax = (8/100)* 25.3 = $2.02
Bill = $25.30 + $2.02
= $27.32
After adding a tip, the total lunch cost was $32.24.
Tip = $32.24. - $27.32 = $4.92
% of Tip = (4.92 / 27.32) * 100 = 18 %
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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Nov 13, 12:27:13 PM
What is an equation of the line that passes through the points (5, -1) and (-5, 1)?
Answer:
y=-1/5x
Step by Step
y=mx+b
First find the slope
equation: y2-y1 divided by x2-x1
1-(-1)/-5-5
2/-10
simplified to -1/5
Now that we have the slope we need the y-int
using point slope form: y-y1=m(x-x1)
Let us use the point (5,-1)
y-(-1)=-1/5(x-5)
y+1=-1/5x+1
Subtract 1 to both sides
y=-1/5x
Convert years to days. 7 years = x |_ *( days year) days)
I ment middle school not high
Answer:
2555 days
Step-by-step explanation:
1 year is 365 days, and 365 x 7 = 2555.
Please help today is my bday and I want to get an A
The proof of Δ SUE is not an isosceles triangle. is shown below.
What is distance Formula?If there are two points A(a, b) and B( c, d) then the distance between these two points are
AB= √( c-a )² + ( d-b )²
Given:
S(-2, -4), U(2, -1) and E(8, -9)
Using Distance formula
SU= √( 2 -(-2))² + ( -1-(-4))²
SU = √4²+ 3²
SU = √16+9
SU =5
and, UE = √( 8 -(2))² + ( -9-(-1))²
UE = √6²+ 8²
UE = √36+64
UE =10
and, ES= ( 8 +2 ))² + ( -9+4)²
ES = √10²+ 5²
ES = √100+25
ES = 5√5
As, none of the two sides are equal.
So, Δ SUE is not an isosceles triangle.
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dan goe from birmingham to coventry by bu. he take 5 minute to walk from hi houe to the bu top in birmingham. he take 20 minute to walk from the bu top in coventry to work. dan ha to get to work by 10.30 am. what i the latet time dan hould leave hi houe to get to work on time?
The latest time Dan should leave his house to get to work on time will be 10: 05 am.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Dan goes from Birmingham to Coventry by Bu. Be goes for 5 moments to stroll from greetings houe to the bu top in Birmingham. He goes for 20 moments to stroll from the Bu top in Coventry to work. Dan has to get to work by 10.30 am.
The total time is given as,
⇒ 5 + 20
⇒ 25 minutes
The latest time Dan should leave his house to get to work on time will be given as,
10: 30 am
- 00: 25
10: 05 am
The latest time Dan should leave his house to get to work on time will be 10: 05 am.
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insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer
The numbers are inserted into the tree and shown in the below diagrams.
Given that,
Put these numbers into a 2-3-4 tree: 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50.
Binary Tree Data Structure: What is it?
A Binary Tree is a Tree data structure with two children or less. We typically refer to them as the left and right child since each element in a binary tree can only have two children.
Representation of a Binary Tree
A pointer to the topmost node of a binary tree serves as its representation. The root's value is NULL if the tree is empty.
The following components are found in a binary tree node:
Data
Pointer to left child in data
Pointer to the right-hand child
Thereforer, The numbers are inserted into the tree
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The question was incomplete. Check below the complete question.
insert 10, 15, 20, 40, 60, 80, 90, 100, 30, 70, and 50 into a 2-3-4 tree and select the correct answer
Find the distance from point E to Line FH. Round the answer to 2 decimal places.
quick clarification on "point E to line FH", well, point E is just a point, line FH goes to infinity both ways, so in essence how many distances are there? well, infinite many.
now, if the question is "distance closest from E to FH?", then there's only one choice, the closest distance to FH will be the perpendicular distance from E and that'd be the distance from E to G
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ E(\stackrel{x_1}{-4}~,~\stackrel{y_1}{-3})\qquad G(\stackrel{x_2}{1}~,~\stackrel{y_2}{2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ EG=\sqrt{(~~1 - (-4)~~)^2 + (~~2 - (-3)~~)^2} \implies EG=\sqrt{(1 +4)^2 + (2 +3)^2} \\\\\\ EG=\sqrt{( 5 )^2 + ( 5 )^2} \implies EG=\sqrt{ 25 + 25 } \implies EG=\sqrt{ 50 }\implies EG\approx 7.07[/tex]
Anyone good there at math? Explain briefly and give examples
Answer:
y = (3/4)x - 3/4=====================
Slope-intercept form is:
y = mx + b, where m- the slope, b- the y-interceptGiven line in standard form:
- 3x + 4y + 3 = 0Convert this to slope-intercept form:
- 3x + 4y + 3 = 04y = 3x - 3y = (3/4)x - 3/4Answer:
[tex]\boxed{y=\dfrac{3}{4}x-\dfrac{3}{4}}[/tex]
[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]
[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]
Given equation:
[tex]-3x+4y+3=0[/tex]
To write the given equation in slope-intercept form, rearrange the equation to isolate y.
Add 3x to both sides of the equation:
[tex]\implies -3x+4y+3+3x=0+3x[/tex]
[tex]\implies 4y+3=3x[/tex]
Subtract 3 from both sides of the equation:
[tex]\implies 4y+3-3=3x-3[/tex]
[tex]\implies 4y=3x-3[/tex]
Divide both sides of the equation by 4:
[tex]\implies \dfrac{4y}{4}=\dfrac{3x-3}{4}[/tex]
[tex]\implies y=\dfrac{3}{4}x-\dfrac{3}{4}[/tex]
Compare the rearranged equation with the slope-intercept formula:
[tex]\implies \textsf{Slope}=\dfrac{3}{4}[/tex]
[tex]\implies \textsf{$y$-intercept}=-\dfrac{3}{4}[/tex]
Type the missing number to complete the proportion.
8 minutes for 3 songs =
minutes for 6 songs
If CP=590 and profit=75, find SP
Answer:665
Step-by-step explanation: Just add the CP and Profit
HELPPPPPP PLEASEEE SAVE ME
which of the following can be classified as data reduction techniques? a. cluster analysis b. sampling c. data visualization d. none of the above
The answer of the question is A. Cluster Analysis
Data reduction is a stage of qualitative data analysis techniques. Data reduction is simplification, classification, and unnecessary hoarding of data in such a way that the data can produce meaningful information and facilitate drawing conclusions.
Data reduction is done to provide more specific representation and make it easier for researchers to collect data then look for additional data if needed.
Various dimension reduction methods are used to reduce the complexity of data before further processing. One of data reduction techniques is Cluster Analysis. Cluster analysis is used to group or classify data with various types, for example in types according to the concept, and certain categories according to the research being conducted.
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A polygon has 7 sides. The interior angle measures are 130°, 118°, 135°, 128°, 126°, 134°, and x°. Find the value of x.
Answer:
129 degrees.
Step-by-step explanation:
The Sum of all the interior angles of an a-sided polygon is always (n−2) × 180 degrees.
As this is a seven-sided polygon, the sum of its interior angles is (7−2) × 180 degrees = 5 × 180 degrees = 900 degrees.
Step 1: Find the sum of six of the angles is 130 degrees, 118 degrees, 135 degrees, 128 degrees, 126 degrees, and 134 = 771 degrees
Hence the seventh angle is x = 900 degrees − 771 degrees= 129 degrees.
Can someone help me pls
Answer:
$8.30 per keychain
Step-by-step explanation:
15.5 is the price of one hat so we multiply by 3
15.5x3=46.5
Now we subtract this from 96.30
96.3-46.5=49.8
Now divide by 6 to get each key chain price
49.8/6= 8.3
$8.30 for each keychain
Claire’s answer is u reasonable because of the work I did above
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how much is 2/5 + 1/2 + 3/4 greater than 1
Answer:
0.65
Step-by-step explanation:
1.65 is 0.65 greater than 1
what does correlation investigate? select one: a. linear association between two numeric variables b. variances between two numeric variables c. association between two categorical variables d. differences of means between two numeric variables
Correlation is a bi-variate analysis that measures the strength of association between two variables and the direction of the relationship.
What is bi-variate analysis?
Bivariate analysis is one in every of the only kinds of quantitative (statistical) analysis. It involves the analysis of 2 variables (often denoted as X, Y), for the aim of deciding the empirical relationship between them.
Main Body:
The correlation coefficient's value ranges from +1 to -1. the entire degree of correlation between the 2 variables is indicated by a worth of one. The association between the 2 variables are weaker because the parametric statistic price approaches zero.
Hence correlation investigate linear association between two variables.
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how many nonnegative integers can be written of the form a7 * 3^7 a2 * 3^6 where ai {1, 0, -1} amc
The non negative integers can be written of the form is 3281.
Given:
a7 * 3^7 a2 * 3^6 where ai {1, 0, -1}.
ai = 7,6,5,4,3,2,1,0
Total = 8
= [tex]3^{8}[/tex] = 6561
= 6561 - 1 /2
= 6560/2
= 3280 is negative integers
Non negative or positive integers = 6561 - 3280 = 3281
Therefore the non negative integers can be written of the form is 3281.
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Joan has $ 60 to buy her friends a gift bag. The gift bags are $ 4 each. The function f ( x ) = − 4 x + 60 represents the amount of money Joan has left in her budget after purchasing x number of gift bags. Complete the statements. The solution for f ( x ) = 72 is x = [DROP DOWN 1] which [DROP DOWN 2] a viable solution in this scenario.
DROP DOWN 1
-3
-15
3
15
DROP DOWN 2
is
is not
The solution for f ( x ) = 72 is x = -3 ; which is not a viable solution in this scenario.
What is the solution for the function instance as given in the task content?It follows from the task content that the solution for the function instance, f(x) = 72 is to be determined according to the given function.
Since the given function is; f ( x ) = − 4 x + 60;
The solution for f (x) = 72 can be determined as follows;
72 = - 4 x + 60
- 4x = 72 - 60
- 4x = 12
x = 12/-4
x = - 3
On this note, since x = -3 which is negative; it follows that it is not a a viable solution in this regard.
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Can someone tell me the answer piz •_•
The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .
Given,
The function is given as:
f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]
To find the bend behavior of f(x)
Now, According to the question:
Based on the given condition:
Analyze the end behavior of
f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex]
As, x → infinity , f(x) → - infinity ;
as x → - infinity , f(x) → infinity .
Hence, The function f(x) = -[tex]5x^5 -5760-2880x+520x^2+260x^3-10x^4[/tex] end behavior is As, x → infinity , f(x) → - infinity ; as x → - infinity , f(x) → infinity .
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Which of the following is an example of a data set with 5 values for which the standard deviation is zero. a) -2.-1.0.1.2 b) 4.4.4.4.4 c) -5,-3.0.3.5 d) 1,2,3,4,5
The standard deviation for the dataset (4, 4, 4, 4, 4) is zero (0)
To find a data set with 5 values for which the standard deviation is zero,
⇒ (4, 4, 4, 4, 4)
For the above dataset;
Mean μ = 4
Number of samples n = 5
Standard deviation σ = [tex]\sqrt{\frac{sumof(xi - x)^2}{n} }[/tex]
= [tex]\sqrt{\frac{(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2+(4-4)^2}{5} }[/tex]
= 0
Therefore, for the dataset (4, 4, 4, 4, 4) the standard deviation is zero(0).
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8 cows can graze a field in 28 days. how long would 14 cows take to graze the same field?
Answer:
16 days
Step-by-step explanation:
(28×8)/14= 16
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