Answer:
(B) The volume of a rectangular pyramid is 1/3 the volume of a rectangular prism. The volume of the rectangular pyramid is 66 cm3.
Step-by-step explanation:
Volume of a rectangular prism:
The volume of a rectangular prism is given by:
[tex]V_R = A_{b}*h[/tex]
In which [tex]A_b[/tex] is the base area and h is the height.
Volume of a pyramid:
[tex]V_P = \frac{A_{b}*h}{3}[/tex]
Relation:
From this, given the same base and the same height, the volume of the pyramid will be a third of the rectangular prism.
A rectangular prism has a volume of 198 cm³
So the volume of the pyramid is 1/3 of this, that is, 198/3 = 66 cubic centimers.
The correct answer is given by option B.
find the slope and the y intercept
Y=1/3x + 2
Answer:
m = 1/3, b = 2
Step-by-step explanation:
The equation is already written is slope-intercept form, y = m x + b.
2. Do the representations below define a function? *
10
1
10
2
10
3
10
4
Yes, it is a function,
No, it is not a function,
Answer:
No it is not a function for sure.
Determine the MEDIAN of the following numbers: 8, 11, 11, 12, 13, 15, 16, 16,
18, 21
15
13
14
21
Answer:
Step-by-step explanation:
Determining Median is super easy!
1. Order the numbers, in ascending order.
8, 11, 11, 12, 13, 15, 16, 16, 18, 21
2. Cross off one number from both ends until you reach the middle number, whether you're left with one or two.
11, 11, 12, 13, 15, 16, 16, 18
11, 12, 13, 15, 16, 16
12, 13, 15, 16
13, 15
3. Determine the average of these two numbers.
(13 + 15) / 2
28 / 2
14
The median for this set of data is 14.
P.S. the average only needs to be calculated when left with two numbers, if you are left with only one, that number is your answer!
Hope this helps :)
Answer:
The median of the following numbers is 14
Step-by-step explanation:
a boat travels 438 km in 8 hours with a constant speed, how far can it travel in 5 hours
Answer:
its the first one
Step-by-step explanation:
Give one verbal expression (VE) and its equivalent algebraic expression (AE).
Example: VE: my age increased by half the age of Ellie AE: x + 1/2y
Answer:
A few examples:
VE: Three more than two times the temperature.
AE: 2x+3
VE: The money I have decreased by two thirds of the money you have.
AE: x - (2/3)y
VE: The number of friends I have increased by four times the amount of friends you have.
AE: x + 4y
Let me know if this helps!
Select all that may be correct
Answer:
Option (2) and Option (6)
Step-by-step explanation:
Expression representing the error can be given by,
Expected value = Original value ± percentage error
If original value of the ice cream filled in the container = 64 ounce
Percentage error to fill the ice cream in each container = 1.5%
So net error = ± 1.5% of 64
= [tex]64(\frac{1.5}{100})[/tex] ounce
= 64(0.015) ounce
Therefore, expression that can show the maximum maximum amount of ice cream in the container will be
= 64 + 64(0.015) Option (6)
= 64(1 + 0.015)
= 64(1.015) Option (2)
Therefore, Option (2) and Option (6) are the correct options.
HELP
Write an equation in slope-intercept form for a line with a slope of -2 and a 8 points
y-intercept of 7. *
Answer:
y=-2x+7
Step-by-step explanation:
slope intercept form is equal to y=mx+c
where y is the y value
x is the x value
m is the gradient
and c is the y intercept
so the equation for this set of values is equal to
y=-2x+7
slope will be the m
and b is the y intercept
y＝mx＋b
y＝-2x＋7
Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool. If she can locate all of the information, how many names will Amanda record in the generation that is 5 generations before her?
Answer:
Step-by-step explanation:
Amanda will record 32 names for the five previous generations.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Amanda is researching her ancestry. She records names and birth dates for her parents, their parents and so on, in an online research tool.
We can write the series as -
Amanda
{M} {F}
{M} {F} {M} {F}
.
.
so on
We can write the sequence as -
2, 4, 8, ....
It is a geometric sequence. For n = 5, we can write -
a(5) = arⁿ⁻¹
a(5) = 2 x (2)⁴
a(5) = 2⁵
a(5) = 2 x 2 x 2 x 2 x 2
a(5) = 32
Therefore, she will record 32 names for the five previous generations.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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HELPPPPPP!!!!! Classify each pair of numbered angles.
Drag and drop the descriptions into the boxes to correctly classify each pair of numbered angles. Each description may be used more than once.
Linear pair
Vertical
Adjacent
None of these
9514 1404 393
Answer:
1, 2: Vertical
5, 6: Adjacent
Step-by-step explanation:
Vertical angles are formed from opposite rays and share a vertex. Angles 1 and 2 are vertical angles.
__
Adjacent angles share a vertex and have one ray shared between them. Angles 5 and 6 are adjacent angles.
_____
Additional comment
In a polygon, interior angles that share a side of the polygon are also called adjacent angles..
Kristin has 3 2/3 yards of plaid ribbon. She has 2 5/6 yards of polka-dot ribbon.
Part A
Estimate how many yards of ribbon Kristin has in all.
I don't know :/ sorry hold on wait
PLEASE HELP TIMED
Do you want to install the updates
Understanding Expressions
Assignment
Active
Explaining Algebraic Expressions
o
Describe the parts of this algebraic expression using the
lesson's vocabulary.
-x+102-3x+y
Done
· 00000000
9 of 10
Use order of operations to simplify 6 squared - (5 -4) + 2( 8 - 2 squared) divided by 8
How many gallons of a 30% alcohol solution must be mixed with 60 gallons of a 14% solution to obtain a solution that is 20% alcohol?
Answer: A=3.6
Step-by-step explanation: let A= # of gallons of 30% solution of alcohol
.3A+60(.14)=.2(60+A)
.3A+8.4=12+.2A----->subtract .2A and 8.4 from each side highlight%28A=36%29 gallons of 30% solution of alcohol
What is the area of the figure. PLS I NEED THIS FAST
Answer:
252 B
Step-by-step explanation:
45 + 18 + 189
Answer:252
Step-by-step explanation:
I need help Writing my own constitution
Please help me
-(8x)^2
-x/4=3
-8x-5=35
-4(z+7)=36
You jog 3 kilometers in 12 minutes.
At this rate, how long will it take you to complete a 7-kilometer race?
Answer:
It will take 28 minutes to complete a 7-kilometer race
Step-by-step explanation:
If you can job 3 kilometers in 12 minutes, that means you can jog 1 kilometer in 4 minutes. so if you multiply 7 times 4, you would get 28. So your answer is 28 minutes.
Please help me!! Thank you!!
Answer:
[tex]Solution,\\PQ = \sqrt{(1-3)^2+(3-1)^2} = \sqrt{2^2+2^2} = \sqrt{8} = 2\sqrt{2} \\P'Q' = \sqrt{(3-9)^2+(9-3)^2} = \sqrt{6^2+6^2} = \sqrt{72} = 6\sqrt{2}\\Also,\\RQ = \sqrt{(1-3)^2+(1-1)^2} = \sqrt{2^2} = 2\\R'Q' = \sqrt{(3-9)^2+(3-3)^2} = \sqrt{6^2} =6\\Again,\\PR = \sqrt{(1-1)^2+(3-1)^2} = \sqrt{2^2}=2\\P'R' = \sqrt{(3-3)^2+(9-3)^2} = \sqrt{6^2} = 6\\Here, P'R' = 3PR, P'Q'=3PQ ~and~ Q'R'=3RQ~\\In~other~words~each~side~of~triangle~P'Q'R' ~is~three~times~the~length~of~triangle~PQR.\\[/tex][tex]So,~the~algebraic~rule~of~diliation(enlargement)~is~(x,y)----(3x,3y)[/tex]
If my answer did not help you, comment below but please don't delete it.
Help pls !!! Answer u don’t have to explain
Answer:
B
Step-by-step explanation:
6 miles............
PLS HELP !!! I need this question done quick
Answer:
a. 17 b. 51
Step-by-step explanation:
Follow Order of Operations (PEMDAS):
Parentheses, Exponents, Multiplication/Division, Addition/Subtraction
a. 9 + 4² - (4-2) • 4
9 + 4² - (4-2) • 4 –––Start with (4-2) = 2 (parentheses)
9 + 4² - 2 • 4 ––– 4² (exponents)
9 + 16 - 2 • 4 ––– 2 • 4 (multiplication)
9 + 16 - 8 ––– 9 + 16 (addition)
25 - 8 ––– 25 - 8 (subtraction)
17
b. 15 - 4 + 2(7-3) • 5
15 - 4 + 2(7-3) • 5 ––– Start with 2(7-3)
~ Note: this can be done using distributive property (2•7 - 2•3) OR solving the parentheses first and then multiplying 2(4). Both get 8 and same end result.
15 - 4 + 8 • 5 ––– 8 • 5 (multiplication)
15 - 4 + 40 ––– 15 - 4 (subtraction) *Note: Subtraction and addition are interchangeable in the order because you do it left to right*
11 + 40 ––– 11 + 40 (addition)
51
Answer:
(a. 7) (b. 51)
Step-by-step explanation:
A.
[tex]9 + 4^{2} - (4-2) * 4\\\\9 + 4^{2} - (2) * 4\\9 + 16 - 2 * 4\\9 + 16 - 8\\25 - 8\\17 \\[/tex]
B.
[tex]15 - 4 + 2 (7 - 3) * 5\\15 - 4 + 2 (4) * 5\\15-4+(2*4*5 )\\15-4+40\\11 + 40\\51[/tex]
(I don't know the numerical values)
Find the distance between the two points rounding to the nearest tenth (8,−9) and (2,−7)
Answer:
negative 7 is first then comes 2. negative 9 is first then comes 8.
Step-by-step explanation:
Answer:
6.3
Step-by-step explanation:
Forty percent of the students who enroll in a statistics course go to the statistics laboratory on a regular basis. Past data indicates that 55% of those students who use the lab on a regular basis make a grade of A in the course. On the other hand, only 15% of students who do not go to the lab on a regular basis make a grade of A. If a particular student made an A, determine the probability that she or he used the lab on a regular basis. (Round your answer to three decimal places.)
Answer:
0.71 = 71% probability that she or he used the lab on a regular basis.
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Student got an A
Event B: Used the lab on a regular basis.
Probability of an student getting an A:
55% of 40%(go to the lab on a regular basis).
15% of 100 - 40 = 60%(do not go to the lab on a regular basis).
So
[tex]P(A) = 0.55*0.4 + 0.15*0.6 = 0.31[/tex]
Probability of getting an A and using the lab on a regular basis:
55% of 40%, so:
[tex]P(A \cap B) = 0.55*0.4 = 0.22[/tex]
Probability that she or he used the lab on a regular basis.
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.22}{0.31} = 0.71[/tex]
0.71 = 71% probability that she or he used the lab on a regular basis.
Which equation represents a line which is parallel to the line
6x + 7y = –49?
Answer: y= 7/6x-5
Step-by-step explanation:
The equations of parallel lines have the same slope or rates.
The equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
The equation is given as:
[tex]\mathbf{6x + 7y = -49}[/tex]
Make 7y the subject
[tex]\mathbf{7y = -6x-49}[/tex]
Make y the subject
[tex]\mathbf{y = -\frac{6}{7}x -7}[/tex]
A linear equation is represented as:
[tex]\mathbf{y =mx + b}[/tex]
Where m represents the slope.
So, we have:
[tex]\mathbf{m = -\frac 67}[/tex]
Parallel lines have the same slope.
So, the slope of the line is [tex]\mathbf{m = -\frac 67}[/tex]
The equation is then calculated as:
[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]
Substitute [tex]\mathbf{m = -\frac 67}[/tex]
[tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
Hence, the equation of the line parallel to [tex]\mathbf{6x + 7y = -49}[/tex] is [tex]\mathbf{y = -\frac 67(x - x_1) + y_1}[/tex]
Read more about parallel lines at:
https://brainly.com/question/402319
Evaluate 2x + 9y -9, when x= 6 and y= 6
Answer:
57
Step-by-step explanation:
2x + 9y -9
2(6) + 9(6) - 9
12 + 54 - 9 = 57
good luck, i hope this helps :)
Answer:
57
Step-by-step explanation:
2*6+9*6-9=
12+54-9=
66-9=
57
Look at the formula for finding distance. Which of the following is the formula to find time? [picture included]
Answer:
A.
Step-by-step explanation:
Answer:
[tex] \huge \: \boxed { \boxed{ \red{ a)t = \frac{d}{r}}}}[/tex]Step-by-step explanation:
to understand thisyou need to know about:equationPEMDASgiven:[tex]d = rt[/tex]to find[tex]t[/tex]let's solve:[tex]step - 1 :define[/tex]
[tex]d = rt[/tex]
[tex]step - 2 : solve[/tex]
[tex]rewrite : \\ rt = d[/tex][tex]divide \: both \: sides \: by \: r : \\ \frac{rt}{r} = \frac{d}{r} [/tex][tex]simplify : \\ t = \frac{d}{r} [/tex][tex] \huge \: \boxed { \boxed{ \red{ \therefore t = \frac{d}{r}}}}[/tex]
1. Javier scored 78% on the test. Write this
percent as a fraction in simplest form and
as a decimal.
Answer:39/50
Step-by-step explanation:
6. A basketball team averaged 105 points per
game. How many points did the team score
ed
Bernd Melman Alamy
in 6 games?
$1900 at 9 for 2 years
Answer:
$342
Step-by-step explanation:
Complete question
Find the simple interest on $1900 at 9% for 2 years.
Simple interest PRT/100
Given
Principal P = 1900
Rate R = 9%
Time T = 2years
Substitute
Simple interest = 1900*9*2/100
Simple interest = 19*18
Simple interest = $342
Hence the simple interest on $1900 at 9% for 2 years is $342
the range for a list of numbers is 7. the smallest value is 4. what is the largest value in the list
Answer:
7
Step-by-step explanation:
The largest value in the list is 11.
What is list?A list is a structure consisting of an ordered set of numbers.
What is the range?"The range is the difference between the smallest and highest numbers in a list."
For given example,
The range for the given list is 7 and the smallest value is 4.
Let R be the range of the list.
⇒ R = 7
Let S be the smallest value in the list.
⇒ S = 4
Let the largest value in the list be L.
⇒ R = L - S
⇒ 7 = L - 4
⇒ L = 7 + 4
⇒ L = 11
Therefore, the largest value in the list is 11.
Learn more about the range of the list here:
https://brainly.com/question/14814262
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Raul started a plant garden and started collecting lots of soil to grow his plants. His supply of soil grows by 8% per week. If he starts with 14 kg of soil, how much does he have after 16 weeks? Round your answer to the nearest hundredth (two decimal places). I
