Given:
The Illinoian Stage began about 300,000 years ago.
The Wolstonian Stage began about 352,000 years ago
We will compare 300,000 to 352,000.
So, we will perform the subtraction operation.
\(352,000-300,000=52,000\)So, the answer will be:
So, there is a difference between them 52,000 years
Can somebody answer this?
Answer:
answer in explanation
Step-by-step explanation:
it is function because each domain is associated with only one range.
all the element of x are domain and y are range.
It is a function. cuz every elements of x have unique image on y.
Domain : [ 6 , -8 , 5,0,6 ]
Range : [ 2 , 5 ,8 , 0, 6 ]
I HOPE IT WILL HELP YOU.
Thank you.
^ - ^
A plane is slicing the cuboid parallel to its base. Name the shape of cross section which is slicing the cuboid.PLEASE RESPOND FAST!!!!
Answer: its Square but the top one is rectangle
WILL GIVE BRAINLIEST!!! The diameter,D , of a sphere is 11.2 cm. Calculate the sphere's volume, . Use the value 3.14 for ,pie and round your answer to the nearest tenth. (Do not round any intermediate computations.)
Answer:
735.2 cm³
Step-by-step explanation:
You want the volume of a sphere with diameter 11.2 cm.
VolumeThe volume of a sphere is given by the formula ...
V =4/3πr³
We know that the radius r is half the diameter d, so we can write this as ...
V = (4/3)π(d/2)³ = 4/24πd³ = (π/6)d³
With the given values, this is ...
V = (3.14/6)(11.2 cm)³ ≈ 735.2 cm³
The sphere's volume is about 735.2 cm³.
<95141404393>
Salama makes fruit baskets with oranges and bananas.
She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas.
Answer: 9 oranges: bananas
Step-by-step explanation:
The ratio is 3 oranges: 2 bananas. They add up to 5 fruits, so some possible values are 5, 10, 15, 20, 25. We need a value between 8 and 16. This means that we need 15/5 = 3 portions of fruits and since the ratio is 3:2
We multiply this by the original ratio to get 9 oranges: 6 bananas
Answer:
6:4
Step-by-step explanation:
3+2=5, but 5 is not enough so we multiply 3 and 2 to make 6 and 4. Now 6+4= 10 which is between 8 and 16 as we need. So the answer is 6:4
True of false
A triangle cannot have more than one right angel
Answer:
False
Step-by-step explanation:
Answer:
false
Step-by-step explanation:
because if it did have more than one right angle, then it couldnt really be a triangle, it would just be looking like a square with one side gone.
If (X+2,4) and (5,y-1 are equal ordered pairs ,Find the value of X and y
Answer:
x = 3, y = 5
Step-by-step explanation:
Since the ordered pairs are equal, then equate the x and y coordinates
x + 2 = 5 ( subtract 2 from both sides )
x = 3
y - 1 = 4 ( add 1 to both sides )
y = 5
If a quantity changes by a factor of 0.125 every year, by what factor does it change every 4 months?
Step-by-step explanation:
0.125 ÷12 = 1/96
1/96 x 4 =1/24
or
0.125÷3=1/24 because 4x3=12
- 6a+7(-2a - 4)=???
Answer:
−20a−28
Step-by-step explanation:
thats what i got, sorry
The answer to this problem is -20a-28
Given that the curves are formed from quarter circles,
find the area of the shaded region.
Give your answer in terms of π.
Answer:
π. value 27/2 please ithink this is thank for you
A couple plans to have three children. There are eight possible arrangements of girls and boys. For example, GGB means the first two children are girls and the third child is a boy. All eight arrangements are (approximately) equally likely.
Write down all eight arrangements of the sexes of three children
Based on the eight arrangements, what is the probability of any one of these arrangements?
Answer:
GGB
GGG
GBB
GBG
BGG
BGB
BBG
BBB
Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%
Step-by-step explanation:
GGB
GGG
GBB
GBG
BGG
BGB
BBG
BBB
Any of these has a probability of 1:8, or 1/8, or 0.125, or 12.5%
Find the sum of the first 34 terms of the following series, to the nearest integer.
8, 12,16,..
Answer:
2516
Step-by-step explanation:
The number of loaves of bread purchased and the total cost of the bread in dollars can be modeled by the equation c = 3. 5b. Which table of values matches the equation and includes only viable solutions? A 2-column table with 4 rows. The first column is labeled loaves (b) with entries negative 2, 0, 2, 4. The second column is labeled cost (c) with entries negative 7, 0, 7, 14. A 2-column table with 4 rows. The first column is labeled loaves (b) with entries 0, 0. 5, 1, 2001. 5. The second column is labeled cost (c) with entries 0, 1. 75, 3. 5, 5. 25. A 2-column table with 4 rows. The first column is labeled loaves (b) with entries 0, 3, 6, 9. The second column is labeled cost (c) with entries 0, 10. 5, 21, 31. 5.
You can use the fact that number of breads purchased cannot be negative since a customer either buys them or not and usually do not sell to the shopkeeper.(if somehow they end up selling to shop owner, then yes that will go in negative, but we'll assume it is wrong in most cases as generally shop owners are there to sell stuffs).
The third table of values matches the equation and includes only viable solutions.
What is a viable solution here?It is talking about those solutions which are seen in real world. As stated above, a customer either buys the bread or not, thus number of breads sold will be either positive or 0(in case of no selling). Thus, we cannot have number of breads as negative.
Such solutions which are correct in the real world context here are called here as viable solutions.
Checking one by one all the tables for them being matched with table and viabilityFor first table, the number of breads are in negative, thus it is not going to have viable solution.
For second table, we have:
b = 0 thus c = 3.5b = 3.5 times 0 = 0 which is correctly given in second column.
b = 0.5, thus c = 3.5b = 3.5 times 0.5 =1.75 which is correctly given.
b = 1, thus c= 3.5 times 1 = 3.5 which is correctly given
b = 2001.5 thus c = 3.5 times 2001.5 = 7005.25 which is not correctly given, thus wrong.
For third table, we have:
b = 0, thus \(c = 3.5 \times 0 = 0\), correctly given in second column.
b = 3, thus \(c = 3.5 \times 3 = 10.5\), correctly given.
b = 6, thus \(c = 3.5 \times 6 = 21\), correctly given.
b = 9, thus \(c = 3.5 \times 9 = 31.5\), correctly given.
Thus, the third table of values matches the equation and includes only viable solutions.
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Answer:
its c to be exact
Step-by-step explanation:
Hi, I've solved part a (c = 30), and was wondering if someone would please solve part b? Thanks!
1. The proportion of time per day that all checkout counters in a supermarket are busy is a random variable Y with pdf cy?
(1 – y)2, 0 f(y) = 0 elsewhere. (a) Find the value of c that makes f(y) a valid pdf. b) Find the cumulative probability distribution function F(y).
To find the cumulative probability distribution function (CDF) F(y), we need to integrate the given PDF f(y) from 0 to y:
F(y) = integral of f(y) dy from 0 to y
= integral of c*y*(1-y)^2 dy from 0 to y (substituting c=30 from part a)
= 30*integral of y*(1-y)^2 dy from 0 to y
To integrate this, we can use integration by substitution. Let u = 1 - y, then du/dy = -1 and y = 1 - u. Substituting, we get:
F(y) = 30*integral of (1-u)*u^2 * (-du) from 0 to 1-y
= 30*integral of u^2 - u^3 du from 0 to 1-y
= 30*[u^3/3 - u^4/4] evaluated at 0 and 1-y
= 10*(1 - (1-y)^3 - 3(1-y)^4/4), 0 <= y <= 1
Therefore, the cumulative probability distribution function (CDF) of Y is:
F(y) = {
0, y < 0
10*(1 - (1-y)^3 - 3(1-y)^4/4), 0 <= y <= 1
1, y > 1
}
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3 cards are chosen at random from a standard 52-card deck. What is the probability that they form a pair
The probability of drawing a pair when selecting three cards at random from a standard 52-card deck is approximately 0.1694, or about 16.94%.
To calculate the probability of drawing a pair of cards from a standard 52-card deck when selecting three cards at random, we need to consider the number of favorable outcomes (pairs) and the total number of possible outcomes.
First, let's determine the number of favorable outcomes. For a pair, we need two cards of the same rank (e.g., two 7s, two Queens, etc.) and any third card that is different from the pair.
The number of ways to choose a rank for the pair is 13 (one for each rank). For each rank, there are four cards of that rank in the deck. Therefore, the number of ways to select two cards of the same rank is given by:
Number of ways to choose a pair = 13 * (4 choose 2) = 13 * 6 = 78
After selecting the pair, there are 50 cards remaining in the deck. The third card must be of a different rank from the pair. There are 48 cards remaining with different ranks from the pair.
Therefore, the number of favorable outcomes (pairs) is 78 * 48 = 3,744.
Next, let's calculate the total number of possible outcomes when selecting three cards from a standard deck. The total number of ways to choose any three cards from 52 cards is given by:
Total number of possible outcomes = (52 choose 3) = 22,100
Finally, we can calculate the probability of drawing a pair:
Probability of drawing a pair = Number of favorable outcomes / Total number of possible outcomes
= 3,744 / 22,100
≈ 0.1694
Therefore, the probability of drawing a pair when selecting three cards at random from a standard 52-card deck is approximately 0.1694, or about 16.94%.
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In a quadrilateral, the measure of two opposite angles is the same. Each of the other
two angles measures exactly two times the given angle. Find the measure of each angle
in the quadrilateral.
Answer:
the two opposite angles equal 45 and the other two who are twice the amount is 90
Step-by-step explanation:
sum of angles in a quadrilateral is 360. Lets name the two equal diagonal angles x that means the equation wil be
x+x+2x+2x=360
8x=360
x=45
so the equal diagonal ones will be 45 and the other two angles will be twice as much so 45x2=90
Need help solving this part
For Jan, The total income is $2400
For Feb, the total income is $2700
For match , the total income is $3800
What is total income?The total income is your gross income from all sources less certain deductions, such as expenses, allowances and reliefs.
Linda have 5% commission on first $10,000 and 10% on over $10,000 with a constant salary of $2000.
In January, she has a sales of $8000
therefore,
5/100 × 8000 = $400 commission.
Therefore her total income for January = 2000+400= $2400
In February, she has a sales of 12,000
= 5/100 × 10000 = $500
10/100 × 2000 = $200
total commission = 500+200 = $700
therefore her total income for mach = $2000+$700 = $2700
In march, she has a sales of $23000
5/100 × 10000 = $500
10/100 × 13000 = $1300
her total commission = 1300+500 = $1800
therefore her total income for march = 1800+2000 = $3800.
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In a basket, there are 52 apples or pears. The number of apples is 8 more than the number of
pears. How many numbers of apples and pears in the box?
Answer:
44 pears and 52 apples
Step-by-step explanation:
pears are 8 more than apple so 52-8 = 44
Number of apples and pears in a box is equals to \(30\) and \(22\) respectively.
What is number?" Number is defined as the count of any given quantity as per given condition."
According to the question,
Given,
Total number of apples \(= 52\)
\('x'\) represents the number of pears
\('x+ 8'\) represents the number of apples
As per the given condition required equation we get,
\(x + x + 8 = 52\\\\\implies 2x = 52-8\\\\\implies x = \frac{44}{2} \\\\\implies x = 22\)
number of pears \(= 22\)
number of apples \(= 22+8\)
\(=30\)
Hence, number of apples and pears in a box is equals to \(30\) and \(22\) respectively.
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The distance around a circular region is known as its________
Answer:
Circumference.
Step-by-step explanation:
The distance around a circle is its circumference.
The distance around a circular region is known as its CIRCUMFERENCE.
What is the solution to the system of equations?
x + 3y + 2z = 8
3x + y + 3z = -10
-2x - 2y -z = 10
Answer:
x = 8 - 3y - 2z
Step-by-step explanation:
Step-by-step explanation:
x + 3y + 2z = 8
3x + y + 3z = -10
-2x - 2y - z = 10
we solve this by eliminating variables or expressing sine variables by others, and then solve for the remaining one. with that value we then cancer back to solve for the other variables.
in our case the easiest way is the elimination via combinations of equations.
let's first multiply equating 1 by -3 and then add that to equation 2 :
-3x - 9y - 6z = -24
3x + y + 3z = -10
----------------------------
0 - 8y - 3z = -34
8y + 3z = 34
then multiply equation 1 by 2 and add it to equation 3 :
2x + 6y + 4z = 16
-2x - 2y - z = 10
--------------------------
0 4y + 3z = 26
now we subtract this result from the previous result :
8y + 3z = 34
- 4y + 3z = 26
----------------------------
4y 0 = 8
y = 8/4 = 2
4×2 + 3z = 26
3z = 18
z = 18/3 = 6
x + 3×2 + 2×6 = 8
x = -10
so,
x = -10
y = 2
z = 6
Find the length of the hypotenuse
Answer:
the answer is b
h^2= a^2+ b^2
h=√a^2+b^2
h=√5^2+3^2
h=√25+9
h=√34
Write the equation of a line that is perpendicular to y=-x-6 and that passes through the point (-9,-4).
Answer:
y = x + 5
Step-by-step explanation:
Perpendicular lines have opposite reciprocal slopes, so the line will have a slope of 1.
Then, plug in the slope and given point into y = mx + b to solve for b:
y = mx + b
-4 = 1(-9) + b
-4 = -9 + b
5 = b
Plug in the slope and b into y = mx + b:
y = 1x + 5
y = x + 5
So, the equation of the line is y = x + 5
in this graph, the y-intercept of the lines (blank). the slope of the line is (blank).
Warren is constructing an open box from a piece of paper that is 8 in wide and 11. 5 in long
The sides of the squares be to obtain a box with the largest volume is 114.20 inch³.
Quadratic functions are used in various fields of engineering and science to obtain the values of various parameters. Graphically, they are represented by parabolas. Determines the direction of the curve based on the highest order coefficient. The word "quadratic" is derived from the word "Quad", which means square. In other words, a quadratic function is a "polynomial function of degree 2.
According to the Question:
Let a be the size of the square to be cut at 4 corners.
The cardboard is folded along the dotted line such that following are the box dimensions
Given that
Length, L= 11.5–2a ; Width. B = 8–2a ; Height, H = a
Volume of box, V = (18–2a )(8–2a) a
V = (11.5-2a)(8-2a)a
⇒ V = 92a -3a²-16+ 4a³
⇒ V = 4a³-3a² +92a -16
Now,
The condition for volume to be maximum is that,
dV/da = 0
⇒ \(\frac{dv}{da} (4a^3)- \frac{dv}{da} (3a^2) +\frac{dv}{da}(92a) - \frac{dv}{da} (16)\)
⇒ 12a² -6a + 92
Taking common 2 from the above equation, we get:
⇒ 6a² - 3a + 46
Therefore,
The roots of this quadratic equation are,
a = 6.93 and 1.729
Case 1: If a = 6.93,
then B= -5.87 < 0 which is not a valid dimension.
Case 2: If a =1.729 then,
L = 14.54 ; B= 4.54 ; H=1.729
Therefore,
Volume of the box = 14.54 x 4.54 x 1.729 = 114.20
Therefore, the sides of the squares be to obtain a box with the largest volume is 114.20 inch³
Complete Question:
An open box is to be made from 8 inches by 11.5 inches piece of cardboard by cutting squares of equal size from the four corners and bending up the sides. How long should the sides of the squares be to obtain a box with the largest volume?
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Bonnie bought 5 pounds of apples for 8$. Don bought apples for $0.40 more per pound than Bonnie. How much did Dan spend per pound for his apples?
convert 1 1/2 years into month?
Answer:
So 1 year would be 12 months and half a year is 6 months. So 1 1/2 years is 18 months.
Step-by-step explanation:
Answer:
the amount of months is 18
Step-by-step explanation:
in one year there is 12 months
half of 12 is 6
add 12 and 6 together
12
+ 6
----------
18
~hope this helped :3~
Composition of relations expressed as a set of pairs. Here are two relations defined on the set (a, b, c, d): S = {(a, b),(a, c), (c,d). (c, a)} R = {(b, c), (c, b)(a, d),(d, b) } Write each relation as a set of ordered pairs. SOR ROS ROR
To write each relation as a set of ordered pairs, we simply list out all the pairs included in each relation. ROR (R composed with its inverse): This is the set of all pairs (x, y) such that there exists some z for which (x, z) is in R and (z, y) is in R's inverse (i.e. the set of all pairs in R with the elements swapped). We can write ROR as:
{(a, a), (b, b), (c, c), (d, d), (c, b), (b, c), (a, d), (d, a)}
For relation S:
- SOR (S composed with its inverse): This is the set of all pairs (x, y) such that there exists some z for which (x, z) is in S and (z, y) is in S. Since the inverse of S is just the set of all pairs in S with the elements swapped, we can write SOR as:
{(a, a), (b, b), (c, c), (d, d), (b, a), (c, a), (d, c), (a, c)}
- ROS (the inverse of S composed with R): This is the set of all pairs (x, y) such that there exists some z for which (z, x) is in the inverse of S and (z, y) is in R. The inverse of S is:
{(b, a), (c, a), (d, c), (a, c)}
So we need to find all pairs (x, y) such that there exists some z for which (z, x) is in this inverse and (z, y) is in R. This gives us:
{(a, c), (c, b), (d, b)}
- ROR (R composed with its inverse): This is the set of all pairs (x, y) such that there exists some z for which (x, z) is in R and (z, y) is in R's inverse (i.e. the set of all pairs in R with the elements swapped). We can write ROR as:
{(a, a), (b, b), (c, c), (d, d), (c, b), (b, c), (a, d), (d, a)}
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A woman works out by running and swimming. When she runs, she burns 7 calories per minute. When she swims, she
burns 9 calories per minute. She wants to burn at least 441 calories in her workout. Write an inequality that describes
her options for the number of minutes of running, x, and the number of minutes of swimming, y, in a workout.
A. 7x+9y≤441
B. 9x+7y2441
C. 7x+9y2441
D. 7x+9y+441 ≤0
The inequality that describes the calories burned is 7x + 9y ≥ 441
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
An independent variable is a variable that does not depends on other variable while a dependent variable is a variable that depends on other variable.
let x represent the number of minutes of running and y represent the number of minutes of swimming, hence:
7x + 9y ≥ 441
The inequality that describes the calories burned is 7x + 9y ≥ 441
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Sove
V=
V2-
V=
I have to use the cylinder to find the answer
Answer:
1
Step-by-step explanation:
V2-V1=volume of dinosaur,v2 is 5 and v2 is 6
The additive identity of rational numbers is: *
I. 0
II. 1
III. 2
IV. -1
Answer:
i) 0 is the additive identity of rational number
Jaime rolls a number cube and spins a colored spinner. The spinner is divided into three equal sections. The tree
diagram shows all the possible outcomes that can occur.
Answer:
Step-by-step explanation:
The mountain in "The Negro Artist and the Racial Mountain" is considered as an obstacle for Negro artists who wish for others to recognize their work. This isn't just part of their job, but it's part of a racial dispute because of their color. Langston Hughes, the author, describes these Negro artists as very talented people. These are also people who believe they can make it big as artists, but they wish to be white to do so. Black artists think they can't be accepted as people, let alone artists. So the mountain in the essay represents a huge obstacle these people have to achieve. That obstacle is being accepted by everyone else, and that includes them looking past their color before appreciating their art.
Hope this helps you!!