Answer: 18a4 - 6a3b - 5a2b4 - 45a2b2 + 36ab2 - 12ab + 3b
———————————————————————————————-
3
Step-by-step explanation:
theres 2 parts i need a awnser and i need to you to show your work please!!! WILL GIVE BRAINLIST!!!!!!!!!
Answer:
Part 1: See below ↓↓
You have two given data available here: the actual height of the Empire State Building measuring 1,450 feet, and the height of the block measuring 2 feet. To find how many blocks stacked together would make up 1,450 feet, just divide 1,450 by 2.
Number of blocks=1,450 feet * (1 block/2 feet)
Number of blocks = 725 blocks
Part 2 (kinda work)
What I did was I divided 1,450 by 5 and I got 290 so you would have to use 290 blocks to build the Empire State building out of blocks. The scale factor is 1 block per 5ft
Step-by-step explanation:
The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. One rider has an average speed of 73.3 feet per second and completes the course in 30 seconds.
A) What is the constant of variation?
B) If another rider completes the course in 25 seconds, what was his speed?
The value of the constant of variation is 2,199 feet. The speed of the another rider is 87.96 feet/sec.
What is the directly proportional and inversely proportional relationship?Let there are two variables p and q
Then, p and q are said to be directly proportional to each other if
p = kq
where k is some constant number called the constant of proportionality.
This directly proportional relationship between p and q is written as
p∝q where that middle sign is the sign of proportionality.
In a directly proportional relationship, increasing one variable will increase another.
Now let m and n be two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called the constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
A.) The time it takes to complete a go-cart course is inversely proportional to the average speed of the go-cart. Therefore, the relationship can be written as,
Average speed ∝ (1/time)
Now, if the constant of variation is introduced then the relationship can be written as,
Average speed = k(1/time)
Substituting the values, we will get,
[tex]73.3\frac{ feet}{second}= k \times \dfrac{1}{30\ seconds}\\\\73.3 \frac{ feet}{second}\times 30\ seconds = k\\\\k = 2,199\ feet[/tex]
Hence, the value of the constant of variation is 2,199 feet.
B.) The speed of the another rider is,
Average speed = k(1/time)
Average speed = 2,199×(1/25) feet/sec
Average speed = 87.96 feet/sec
Hence, the speed of another rider is 87.96 feet/sec.
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A number y increased by 5 is at least -21
- - - - - - - - - - - - - - - - - - - - - - - - -- - - - - - - - - -
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Given question:-}}}}[/tex]
❖ A number y increased by 5 is at least -21.
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
❖ First, if you come across the word "increased" it means we
"increase" a number, or add something to that number, like
y increased by 5 [tex]\longmapsto[/tex] [tex]\sf{y+5}[/tex]
Now, we are also given that this expression is at least -21, which means it can't be -21; it can be -21 or it can be greater than -21.
So we have
[tex]\longmapsto\sf{y+5\geq -21}}[/tex]
Solving for y
Subtract 5 on both sides:-
[tex]\longmapsto\sf{y\geq -21-5}[/tex]
[tex]\longmapsto\sf{y\geq -26}[/tex]
So the values of y greater than or equal to -26 will make this inequality true.
Good luck with your studies.[tex]\rule{300}{1}[/tex]
Answer:
y >= - 26
Step-by-step explanation:
your equation at first looks like this
y + 5 >= -21
then you subtract 5 to both sides
y >= -26
Write the quadratic equation whose roots are 4 and -2 and whose leading coffecient is 2
Answer:
[tex]y=2x^2-4x-16[/tex]
Step-by-step explanation:
Factored form of a quadratic equation:
[tex]y=a(x-r_1)(x-r_2)[/tex]
where:
a is the leading coefficient[tex]r_1[/tex] and [tex]r_2[/tex] are the rootsGiven:
[tex]a = 2[/tex][tex]r_1=4[/tex][tex]r_2=-2[/tex]Substitute the given values into the formula and expand:
[tex]\implies y=2(x-4)(x-(-2))[/tex]
[tex]\implies y=2(x-4)(x+2)[/tex]
[tex]\implies y=2(x^2+2x-4x-8)[/tex]
[tex]\implies y=2x^2-4x-16[/tex]
The level of college education and wages earned are known to have a strong positive association. karen concluded that a college education causes higher earnings. is karen's conclusion valid? explain. karen's conclusion is not valid because association does not imply causation. karen's conclusion is valid because association does imply causation. karen's conclusion is not valid because causation does not imply association. karen's conclusion is valid because causation does imply association.
karen's conclusion is valid because the association does imply causation.
What is an association claim?An association claim asserts that a particular level of one variable is expected to be related to a specific level of another variable. As two variables are related, they are said to be correlated, which means that when one variable varies, the other variable tends to change as well.
An association claim must include at least two variables that are measured rather than manipulated.
While an association claim just acknowledges a connection between two variables, a causal claim goes a step further by claiming that one of the factors is responsible for altering the other.
Therefore, we can conclude that the claim which states that:
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Answer:
Association does not equal Causation, since Karen's theory does not have any evidence to prove causation, her theory is invalid.
Step-by-step explanation:
help me with this question number 11 please and thank you
The linear equation is 3x + 5y = 75. Then the value of A, B, and C will be 3, 5, and 75 respectively.
What is the linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The equation of a line is given as
y = mx + c
where m is the slope and c is the constant.
Then we have
y = (-3/5)x + c
The line is passing through (25, 0). Then we have
25 = c
Then we have
y = (-3/5)x + 25
On simplifying, we have
5y = -3x + 75
3x + 5y = 75
Then the value of A, B, and C will be 3, 5, and 75 respectively.
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Can someone answer this problem??
Answer: The answer is 9
Answer:
9% of her monthly income is spent on 'Other expenses'
Step-by-step explanation:
[tex]900+120+80+100+320=1820[/tex]
but if you divide 180 by 2000 you'll get 0.09 but times that by 100 you'll get 9%
I need help! Math isn’t my best subject
Answer:
A and c
Step-by-step explanation:
multiply the 3 to both parts of equation
Answer:
it's A and C, multiply 3 with 3x and 4y
29. Having a large enclosed space has advantages, but it can be more expensive to heat and cool. Assume an air conditioner uses about 4 BTUs/cubic foot each hour (a BTU is a measure of energy). How many BTUs will the air conditioner need to produce each hour to cool the structures? Hint: Multiply the enclosed space by the number of BTUs needed per cubic foot. (3 points)
1: Cylinder
2: Pyramid
3: Dome
The BTU required by the air conditioner/hour to cool the following structures is given as:
Cylinder: 4*π r² h (Where h is height, and r is the radius);Pyramid: 4 (lwh/3) (Where l is the length, w - the width, and h, the height;Dome: 4 * (4/3 πr³)What is the explanation for the above?It is to be noted that the BTU required to cool per cubic foot of space is 4BTUs.
Since we are not given the dimensions of the structures, the required constant is thus, multiplied by the volume of the structures whose equations have been given above.
Note that:
Volume translates to enclosed space; and
BTU means British Thermal Unit.
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if r=5 and h=3cm what is the volume of the cone (assume pi =3.14
Answer:
should be 78.5
Step-by-step explanation:
the formula for volume of a cone is V = pi^2 x H/3
so if you plug in the values you get V= 3.14 x5^2 x3/3 making the awsnser 78.5
Instructions: Complete the following proof by dragging and dropping the correct reason into the space provided.
Given: −6a−5=−95
Answer:
givenaddition property of equalitydivision property of equalityStep-by-step explanation:
The equation is solved by starting with the given equation, then performing inverse operations to undo what is done to the variable.
__
Step 1The equation shown is the same as the given equation.
reason: given
Step 2The equation shown has the "-5" term missing. That happens when +5 is added to both sides of the equation. -5 +5 = 0, and 0 added to anything leaves the value unchanged.
reason: addition property of equality
Step 3The equation shown has the "-6" coefficient of 'a' missing. That happens when the equation is multiplied by the multiplicative inverse of -6. That is, it is divided by -6.
reason: division property of equality
_____
Additional comment
As we have noted in Step 3, division is the same as multiplication by the multiplicative inverse. The definition of multiplicative inverse tells you that the product of a number and its inverse is 1. The identity element property for multiplication tells you that multiplying by 1 leaves the value unchanged.
(1/(-6))(-6a) = 1a = a
So, the reason for Step 3 could also be "multiplication property of equality."
19 there is a frog and snake exhibit at
a nature center. the ratio of frogs to
snakes is 3 to 4. there are 24 snakes in
the exhibit. what is the total number of
animals in the exhibit?
a
18
c
32
b 42
d
56
Answer:
b.42
Step-by-step explanation:
the ratiois is 3 to 4 .So every 4 snakes is to 3 frogs so since there are 24 snakes devide the 24 by 4 which will give u 6 then multiply the answer by 3 which will give u 18 which represents the total number of frogs then add 18 +24 which is 42.
so then total number of frogs is 42.
A basketball team has 15 members, and 18 of them are sixth graders what percentage of the team is in sixth grade?
Answer:
120% are sixth graders
But, If you meant to say 18 basketball players and 15 6th graders, the percentage would be around 83.3%
A cylinder and a cone have the same radius and height. The volume of the cylinder is 150 in^3. What is the volume of the cone?
Answer:
50 cm³
Step-by-step explanation:
Given volume of cylinder is 150 in³
we know that The volume of cone 1/3rd of cylinder.
Then volume of cone is 150/3 = 50 cm³
A new coffee shop can hold no more than 50 seats. The owner wants at least 20 of the seats to be stools and the remaining seats to be recliners. If x is the number of stools and y is the number of recliners, which graph represents the solution to the system of inequalities?
x + y ≤ 50
x ≥ 20
On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything below the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the left of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the right of the line is shaded.
On a coordinate plane, 2 solid straight lines are shown. The first line is horizontal to the y-axis at y = 20. Everything above the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
Answer: On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the right of the line is shaded.
Step-by-step explanation:
x = # of stools = 20
y = # of recliners = 50-20 = 30
Answer:
On a coordinate plane, 2 solid straight lines are shown. The first line is vertical to the x-axis at x = 20. Everything to the right of the line is shaded. The second line has a negative slope and goes through (0, 50) and (50, 0). Everything to the left of the line is shaded.
Decide whether the data in the table represent a linear function or an
exponential function. Explain how you know.
X
y
1
4
2
-5
3
-14
-23
5
-32
O A. The data represent an exponential function because there is a
common ratio of
5
4
OB. The data represent a linear function because there is a common
difference of -9.
OC. The data represent a linear function because there is a common
difference of 9.
OD. The data represent an exponential function because there is a
4
Answer:
Its a linear function as there is a common difference of -9.
Step-by-step explanation:
x y Difference
1 4
2 -5 -9
3 -14 -9
4 -23 -9
5 -32 -9
For a difference in x of we have a difference in y of -9.
Help me find the answer please. Thank you!
Answer:
Here is the ans...hope it helps
To avoid a large, shallow reef, a ship set a course from point A and traveled 22 miles east to point B. The ship then turned and traveled 33 miles south to point C. If the ship could have traveled in a straight line from point A to point C, about how many miles could it have saved?
A.
15 miles
B.
11 miles
C.
55 miles
D.
40 miles
Answer: A. 15 miles.
Step-by-step explanation: Did the math 22, 33 and got A. 15 miles.
[SOLVED] The following data values are amperage outputs from electrical testing.
60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98
Use the drop-down menus to identify the key values.
What is the median? ✔ 64
What is Q1, the median of the lower half of the data? ✔ 61.5
What is Q3, the median of the upper half of the data? ✔ 71
What is the interquartile range, or Q3 – Q1? ✔ 9.5
The median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5
What is the median?A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.
We have data:
60, 60, 61, 62, 63, 63, 65, 65, 70, 72, 73, 98
The median = (63+65)/2 = 64
Q1 = (61+62)/2 = 61.5
Q2 = (70+72)/2= 71
Q3 - Q1 = 71 - 61.5 = 9.5
Thus, the median of the data is 64, the value of Q1 is 61.5, the value of Q2 is 71, and the value of Q3-Q1 is 9.5
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Answer:
Use the drop-down menus to identify the key values.
What is the median? ✔ 64
What is Q1, the median of the lower half of the data? ✔ 61.5
What is Q3, the median of the upper half of the data ✔ 71
What is the interquartile range, or Q3 – Q1? ✔ 9.5
Step-by-step explanation:
edge 2023
The midpoint of overline AB is M(7, -5) If the coordinates of A are (6, -7) what are the coordinates of B
Answer:
(6.5,-6)
Step-by-step explanation:
(7+6)÷2= 6.5
(-5+-7)÷2=-6
PLEASE EASY 20 POINTS A new park in the shape of a hexagon will have 6 sides of equal length.
On a scale drawing, the coordinates of the vertices of the park are (26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).
How long is each side of the park?
Using the distance formula, each side of the park is 13 units long
How to determine the length of each side?The vertices of the park are given as:
(26.5, 12), (38.5, 7), (26.5, 2), (13.5, 2), (1.5, 7), and (13.5, 12).
The length of each side is calculated using the following distance formula:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2}[/tex]
Using any consecutive points, we have:
[tex]d = \sqrt{(13.5 - 1.5)^2 + (12 -7)^2} = 13[/tex]
Hence, each side of the park is 13 units long
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6) please help solve sin²3theta=1
Answer:
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE?
Answer:
values
x=17
AT = 49 units
OG = 21 units
What expression is equivalent to 7/12
Answer:
14/24 is one expression equivalent to 7/12.
Answer:
14/24,21/36,28/48,35/60,42/72,49/84,56/96 are equivalent to 7/12...
You have a standard deck of 52 cards. Find the probability of drawing one card, then drawing another without replacement.
A) You draw an even-numbered card and then a face card.
B) Both cards you drew are "4" or higher (if aces are considered low cards and face cards are nonnumerical)
C) You drew a black face card and then a black "5".
Assuming that the all the cards have the same probability of being drawn we get:
A) P = 0.07B) P = 0.21C) P = 0.001How to find the probabilities?
We have a deck of 52 cards.
A) The probability of drawing an even-numbered card is given by the quotient between the number of even-numbered cards and the total number of cards.
On the 52 card deck, there are 16 even cards (2, 4, 6, 8 for each type), so the probability is:
p = 16/52
Then the probability of drawing a face card is given in the same way, notice that now there are 51 cards in the deck and 12 face cards, so we get:
q = 12/51
The joint probability is the product of these two:
P = (16/52)*(12/51) = 0.07
b) Both cards are 4 or larger.
There are 6 cards equal or larger than 4 for each type, so the probability for the first card is:
p = 24/52
For the second card, there is one card less in the deck (and one card less that is equal or larger than 4) so the probability is:
q = 23/51
The joint probability is:
P = (24/52)*(23/51) = 0.21
C) There are 6 black face cards, so the probability first is:
p = 6/52
Then there are 2 black cards with the number 5, so the probability is:
q = 2/51
The joint probability is:
P = (6/52)*(2/51) = 0.001
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What is the value of x?
Enter your answer as a decimal to the nearest tenth in the box.
ft
B
29
27 ft
C
Answer:
23.6 ft
Step-by-step explanation:
In the right triangle, an acute angle, the hypotenuse, and an adjacent side are marked. We went to know the length of the adjacent side. The trig relation involved is ...
Cos = Adjacent/Hypotenuse
__
Filling in the given information, this relation tells us ...
cos(29°) = x/(27 ft)
Solving for x, we get ...
x = (27 ft)cos(29°) ≈ 23.614 ft
The value of x is about 23.6 ft.
The circle graph shows the results of a survey by a bakery on which of their new products 71 customers preferred most. How many customers preferred cake? Round your answer to the nearest whole number. show work and explain to your best ability please and thank you.
Answer:
25 customers
Explanation:
To find the number of people preferred cake, multiply the percentage by total customers.
People who preferred cake:
⇒ 35% × 71
⇒ 24.85
⇒ 25 (rounded to nearest whole number)
Arrange the hyperbolas in increasing order of the horizontal widths of their asymptote rectangles.
The increasing order of the horizontal widths of their asymptote rectangles is dependent on the values gotten from y = ± x.
What is a Hyperbola?
This is defined as a two-branched open curve formed by the intersection of a plane perpendicular to the bases of a double cone.
The rectangular hyperbola has two asymptotes which are defined as y = ± x in this scenario.
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Find the equation of the line.
Use exact numbers.
y
y
8-
7
6+
-9-8-7-6-5-4-32
2 3 4 5 6 7 8 9
-27
-3
-4
-5
-6
-8
Answer:
Could you possible line the numbers up a little bit, it'd be better to understand that way.
[tex]3x+1[/tex] the collatz conjecture
Answer: Slope: 3
x-intercept(s): [tex](-\frac{1}{3} , 0)[/tex]
y-intercept(s): [tex](0,1)[/tex]
