The analogy that best represents the bold letters for each question is related to relationships and cross-sections.
Some analogies are given below:
Happy : Sad :: Up : DownExplanation: The relationship between happy and sad is that they are opposite emotions.
Similarly, up and down are opposite directions, so the analogy holds.
Cat : Kitten :: Dog : PuppyExplanation: The relationship between a cat and a kitten is that a kitten is a young cat.
Similarly, a puppy is a young dog, so the analogy holds.
Circle : Sphere :: Square : CubeExplanation: The relationship between circle and sphere is that a circle is a two-dimensional shape, while a sphere is a three-dimensional shape that has a circular cross-section.
Similarly, a square is a two-dimensional shape, while a cube is a three-dimensional shape that has a square cross-section, so the analogy holds.
Oven : Baked :: Grill : GrilledExplanation: The relationship between the oven and baking is that an oven is a tool used to bake food.
Similarly, a grill is a tool used to grill food, so the analogy holds.
Mother : Father :: Daughter : SonExplanation: The relationship between mother and father is that they are the parents of a child.
Similarly, a daughter and a son are the children of their parents, so the analogy holds.
Book : Chapter :: Play : ActExplanation: The relationship between a book and a chapter is that a book is divided into chapters.
Similarly, a play is divided into acts, so the analogy holds.
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A rectangle with dimensions 60 units * 40 units is drawn on a grid paper that has a 1 unit * 1 unit grid. Each vertex of the rectangle is on a node, and each side of the rectangle is on a gridline. Then a diagonal of the rectangle is drawn. How many cells are cut into two(not necessarily equal) parts? PLEASE ANSWER ASAP!!!!!!!
The number of cells cut into two by the diagonal of the rectangle, found by using Pythagorean theorem, are approximately 51 cells
What is Pythagorean theorem?Pythagorean theorem can be expressed as the square of the hypotenuse side of a right triangle is equal to the sum of the square of the legs of the triangle.
The dimensions of the rectangle = 60 units by 40 units
The dimensions of each grid = 1 unit by 1 unit
The vertices of the rectangle are (0, 0), (60, 0), (60, 40), (0, 40)
The slope of the diagonal is therefore;
m = 40/(60) = 2/3
The equation of the line is; y - 0 = 2/3·(x - 0) = 2/3·x
y = 2/3·x
The number of cells in the diagonal is found using Pythagorean theorem as follows as follows;
Length the diagonal, l = √(60² + 40²) ≈ 72.1
Length of the diagonal of a unit = √(1 + 1) =√2
Number of units in the diagonal, n = 72.1/√(2) ≈ 51 units
The number of cells cut into two ≈ 51 cells
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match the correct base shape to each prism. some cards may be used more than once.
Looking at figure A, we have a prism with a triangular base that looks like a right triangle.
Since the prism has a right triangular base, the base shape is a right triangle (shape 5).
Looking at figure B, we have a prism with a pentagonal base.
Since the prism has a pentagonal base, the base shape is a pentagon (shape 1).
Looking at figure C, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
Looking at figure D, we have a prism with a triangular base that looks like an equilateral triangle.
Since the prism has an equilateral triangle base, the base shape is an equilateral triangle.(shape 4).
Define and distinguish among positive correlation, negative correlation, and no correlation. How do we determine the strength of a correlation?
Define positive correlation. Choose the correct answer below.
A.
Positive correlation means that both variables tend to increase (or decrease) together.
B.
Positive correlation means that there is a good relationship between the two variables.
C.
Positive correlation means that two variables tend to change in opposite directions, with one increasing while the other decreases.
D.
Positive correlation means that there is no apparent relationship between the two variables.
Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.
Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.
To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.
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A local hamburger shop sold a combined total of 490 hamburgers and cheeseburgers on Saturday. There were 60 fewer cheeseburgers sold than hamburgers.
How many hamburgers were sold on Saturday?
Answer:
315 hamburgurs could be a possible answer
Step-by-step explanation:
Split 490 into an even half, then take away 60, thats for chesburguers. Then subtract that from 490 to find the hambugurs.
The area of a rectangle 12x^2 + 32x square units. If the width can be represented by 3x + 8, write an expression to represent the length of the rectangle.
Answer:
Step-by-step explanation:
The area of a rectangle is length time width.
A=LW
In this case,
A=32x^2+12
W=4x
Solve for L
L=A/W
Substitute
L=(32x^2+12)/4x
L=(8x^2+3)/x
This is slopes is this supposed to be negative or positive????
A 450 gallon tank full of water is draining at a rate of 20 gallons per minute. We can represent the situation with the equation:
y
=
450
−
20
x
y
=
450
-
20
x
where x is the number of minutes that have passed by, and y is the amount of water in the tank. How long will it take for the tank to have 200 gallons?
A.
12.5 minutes
B.
32.5 minutes
C.
2.15 minutes
D.
20 minutes
Replace y with 200 ( amount of water in the tank) and solve for x:
200 = 450 -20x
Subtract 450 from both sides:
-250 = -20x
Divide both sides by-20:
X = 12.5
The answer is A. 12.5 minutes
What is the step by step solution to: x^2 -6x +9 =0
Answer:
Step-by-step explanation:
x²-6x+9 = 0
Factor
(x-3)(x-3) = 0
x = 3
Answer:
x = 3
Step-by-step explanation:
We need to find to numbers that sum up to make -6 but their product is +9 :
-3 and -3 will do :
Now we split -6x into -3x and -3x :
x² -3x -3x + 9 = 0
Factorise the first 2 terms:
x(x-3)
Keeping the terms inside the bracket the same as the 1st one factorise the next 2 terms :
x(x-3)-3(x-3) = 0
Keep 1 bracket and make another bracket out of the terms that are outside the brackets :
(x-3)(x-3) = 0
Using the integer rule :
a × 0 = 0
We know that one of these brackets are equal to zero :
x-3= 0
Add 3 to both sides :
x = 3
The other bracket is the same so our final answer is x = 3
Hope this helped and have a good day
It would be nice of you to give brainliest
Which expression is equivalent to (4 + 6)²?
Answer:
A) -20+48i
Step-by-step explanation:
\((4+6i)^2\\(4+6i)(4+6i)\\16+24i+24i+36i^2\\**i^2=-1*\\16+48i+36i^2(-1)\\16+48i-36\\-20+48i\)
HELP AS SOON AS YOU CAN PLEASE ILL GIVE BRAINLIEST WHEN I CAN
Answer:
SAS
Step-by-step explanation:
In triangle ABC and triangle EFD
1. BC = CD (S) Given
2. < BCD = < EFD (A) being vertically opposite. angles.
3. AC = CE (S) Given
Hence
By SAS postulate Triangle ABC and triangle EFD are congruent.
HOPE IT HELPS :)❤
I really need help to get this done, please.
The area of the shaded portion of the inscribed hexagon is; 3.395 ft²
How to find the area of a hexagon?We are given;
Diameter of circle = 5 ft
Thus;
radius; r = 5/2 = 2.5 ft
Now, the long diagonal of the hexagon is given as 5ft and we know that if the side of the hexagon is a, then;
a = d/2
where d is the length of the long diagonal
Formula for area of hexagon is;
A = (3/2) * √3 * a²
Thus;
A = (3/2) * √3 * 2.5²
A = 16.24 ft²
Area of circle is gotten from the formula;
A = πr²
A = π * 2.5²
A = 19.635 ft²
Thus;
Area of shaded portion = 19.635 ft² - 16.24 ft² = 3.395 ft²
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................................
Hey again!
The answer to your question is 10 meters.
We can solve this by multiplying 15 and 2/3, and you get 10
Hope it helps!
Which of the following shows the correct first step to solve x^2-18x=-45
A x^2 - 18x + 18= -45 + 18
B. x^2 - 18x + 9 = -45 + 18
C. x^2 -18x + 81 = -45
D. X^2 -18 + 81 = -45 + 81
Answer:
D, X^2 -18 + 81 = -45 + 81
Step-by-step explanation:
it is complating squer method that used for solving x in a quadratic equetion . in this step you will add
(y/2)^2 if y is the cofitient of x .
Can someone help me with question 8 please this is due tomorrow
Answer:
New eq: 11x + 1. The line will become steeper.
Step-by-step explanation:
Slope is rise over run. In the original equation, y increased 4 times everytime x increased by one. In the new equation, y increased 11 times everytime x increased by one making it steeper.
Which expressions are equivalent to
5
12
⋅
5
8
Answer: is (5^5)^4
Step-by-step explanation:
im inmiddle school but someone already answered this question befor trust me
Need help ASAP ITS DUE Soon???!!!
Answer:
V=942.5
Step-by-step explanation:
V=(π)(r)^2(h)
V= (π)(10/2)^2(12)
V=942.5
What is the conversion of 2/5 in decimal ?
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
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How many 750 watt lighting instruments can be placed on a dimmer that can handle 6k watts?
*PLEASE HELP* Tanner has 24 more songs on his mp3 player than Amelia. Together they have 144 songs. Write a system of equations to represent this situation.
Answer:
2T-24 = 144
where T is the number of songs that Tanner has on his mp3 player
Step-by-step explanation:
The first thing to do here is to find a variable that we can use to represent the the number of songs that Tanner has on his mp3 player
Since we do not know this, we can say it is T songs
What else do we know?
We know quite well that she has 24 more songs than Amelia
Thus, the number of songs Amelia will have would be T-24
Now adding both together gives 144 songs
Hence;
T + T-24 = 144
2T-24 = 144
Help please I really need it right now
Answer:
the hypotenuse is 68 yards
Step-by-step explanation:
A^2+B^2 then square rooted equals C
32^2+60^2
1,024+3,600=4,624
4,624 square rooted is 68
68 yd is your answer
Ken thought that the distance between his new home and work was 32 miles. Upon verifying it, he found the distance was 41.5 miles. Find Ken’s percent error.
Will V − E + F always equal 2?
The expression V − E + F is an illustration of the Euler's formula.
The expression V − E + F is always 2
How to determine the true statement?The equation is given as:
V - E + F = 2
Where:
V represents the verticesE represents the edgesF represents the facesAccording to the Euler's formula, the relationship between V, E and F is:
V + F = 2 + E
Subtract E from both sides
V - E + F = 2
Hence, the expression V − E + F is always 2
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i need help with this
Answer:
A
Step-by-step explanation:
For the first block, you need to multiply a x a x b
3 x 3 x 6 = 54
For the 2nd block, you need to multiply a x a x c
3 x 3 x 12 = 108
Now you need to add both volumes of the blocks
108 + 54 = 162 in^3
At Skyler airport 30% of the scheduled flights are delayed if 240 flights are delayed how many scheduled flights does Skyler airport have
Factor X^2 + 14x + 49 =
Answer:
Step-by-step explanation:
X^2 + 7x + 7x + 49 = x*(x+7) + 7*(x+7) = (x+7)(x+7) = (x+7)^2
Answer:
The simplest form should be (x + 7)^2 (squared)
Step-by-step explanation:
This is a Perfect Square Trinomial. If the A and C values are both perfect squares then you can take the square root of them and that would become the factored version. Hope this helps! Please mark Brainliest! :)
(8h - 4) + (4h to the third power - 8h squared +9h +7)
Answer:
4h^3 - 8h^2 + 17h + 3
Step-by-step explanation:
I put it into my calculator, let me know if that helped!
let's pretend you own a shoe store in 5 points. you want to create a graph showing the number of sneakers sold by brand for the month. the best choice of a graph would be a
Bar graph. This type of graph is ideal for comparing the number of sneakers sold by brand, as it clearly displays the numerical differences between them. It is also easy to interpret and visually appealing.
A bar graph is the best choice for displaying the number of sneakers sold by brand for the month. Bar graphs are used to compare data and show the differences between them. Each brand would be represented by its own bar, and the length of each bar would be determined by the number of sneakers sold. The bars can be labeled with the brand's name, and a numerical scale would be used at the bottom of the graph to indicate the number of sneakers sold. The data can be organized by either the number of sneakers sold (descending) or by the brand name (alphabetically). The bar graph would be easy to interpret and visually appealing. It is also a great way to compare the performance of different brands in a given period.
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3. The decimal expansion of 13/625 will terminate
after how many places of decimal?
(a) 1
(b) 2
(c) 3
(d) 4
The decimal expansion of the given fraction is 0.0208. Therefore, the correct answer is option D.
The given fraction is 13/625.
Decimals are one of the types of numbers, which has a whole number and the fractional part separated by a decimal point.
Here, the decimal expansion is 13/625 = 0.0208
So, the number of places of decimal are 4.
Therefore, the correct answer is option D.
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select three major processes that should be included in a model that explains the changes seen in the rock between figure 1 and figure 2
A. rainfall
B. Melting of ice
C. Plate Tectonics
D. Melting of Rock
E. Freezing of water
F. Deposition of sand
G. Crystallization of lava
Answer:
I think it's C and F. Don't depend on me tho I'm only in the 7th grade but I just told what I think is more logical
Question 13 (1 point)
03.OSLO
What is the volume of a sphere with a radius of 6 inches?
1120 cubic inches
2880 cubic inches
2900 cubic inches
3000 cubic inches
Answer:
V=904.78 in^3
Step-by-step explanation:
V=4/3pir^3=4/3.pi.6^3=904.77868in^3