Answer:
9(8d + 9)
Step-by-step explanation:
Since 72 and 81 are both divisible by 9, we can factor out a 9 from the expression:
72d + 81
9(8d + 9)
So, the factored expression is 9(8d + 9)
A stone was thrown into a pond from 8 feet above the surface of the water in the pond. Justin wrote 8 feet to represent the height from which the stone was thrown. What does 0 represent in this situation
The length, breadth and height of a cuboidal tank is 4m, 2m and 0.75 m respectively. What is the capacity of the tank
The cuboidal tank has a volume of [tex]6m^3[/tex] with dimensions of 4 m in length, 2 m in width, and 0.75 m in height.
How can I determine a cuboidal tank's capacity?The total amount of room or volume that a cuboidal tank can hold is known as its capacity. By multiplying the tank's length, width, and height collectively, it is determined.
The tank in this instance measures 4 metres long, 2 metres wide, and 0.75 metres high. We must multiply these three parameters collectively to determine the tank's capacity:
[tex]4m * 2m * 0.75m = 6m^3[/tex]
The tank can therefore hold [tex]6m^3[/tex] of liquid.
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What is the AAA theorem?
According to the Angle-Angle-Angle (AAA) criterion, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
Proof:
Consider two triangles ABC and DEF, such that ∠A = ∠D, ∠B = ∠E, and ∠C = ∠F
Now, cut DP= AB and DQ= AC and join PQ. Hence, we can say that a triangle ABC is congruent to the triangle DPQ.
(i.e) ∆ ABC ≅ ∆ DPQ, which gives ∠B = ∠P = ∠E, and also, the line PQ is parallel to EF.
Therefore, by using the basic proportionality theorem, we can write
DP/PE = DQ/QF.
(i.e) AB/DE = AC/DF. …(1)
Similarly,
AB/DE = BC/EF …(2)
From (1) and (2), we can write:
AB/DE = BC/EF = AC/DF.
Therefore, the two triangles ABC and DEF are similar.
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A helicopter pad which is in the shape of a circle has a circumference of 62. 48 feet and a diameter of 24 feet. Which expression best represents the value of ?
The expression which represents the value of the area could be the six times the circumference of the circle.
What is area of circle ?
area of circle can be defined as the product of pi(3.14) and square of radius of the circle.
Given,
helicopter pad which is in the shape of a circle has a circumference 72.48
and the diameter of 24 feet.
radius = diameter/2
radius = 24/2
radius = 12
circumference of circle = 72.48
area of circle = π*r*r
area of circle = 22/7 * 12 * 12
area of circle = 452.5
area of circle is approximately 6 times the circumference of circle.
Hence , The expression which represents the value of the area could be the six times the circumference of the circle.
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Consider f(x) equals log2 x below
Graph G(x) =-log2(x-3)
The graph of the function g(x) is added as an attachment
How to plot the graph of the functionFrom the question, we have the following parameters that can be used in our computation:
f(x) equals log2 x
Express the equation properly
So, we have
f(x) = log₂(x)
Also, we have
g(x) = -log₂(x - 3)
The transformation from f(x) to g(x) is that:
f(x) is shifted right by 3 unitsf(x) is reflected across the x-axisThis means that
g(x) = -f(x - 3)
So, we apply the above transformations on the graph of f(x) to form g(x)
See attachment for graph of g(x)
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What is the difference of the two polynomials 9x2 8x 2x2 3x?
The difference between the polynomials 9x² + 8x and 2x² + 3x is 7x² + 5x.
What is polynomials?A polynomial is formed mathematically by combining one or more algebraic terms (monomials). The roots of "polynomial" are poly- (many) and -nomial (terms). A polynomial can have exponents (powers), constants (numbers), and variables (letters), but not negative exponents or variable division.
Polynomials are typically expressed in standard form. Furthermore, because there are no similar terms among the exponents, they are arranged in descending order (largest to smallest).
To find the difference between
(9x² + 8x) - (2x² + 3x)
We do calculation
= 9x² + 8x - 2x² - 3x
= 9x² - 2x² + 8x - 3x
= 7x² + 5x
Thus, the difference between the polynomials is 7x² + 5x.
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During snack time at preschool, the teacher divided 3/4 of a gallon of milk evenly among 6 students. How much milk did each student get?
Answer:
Each student received 16 fl oz of milk or 1 pint
Step-by-step explanation:
How do you check if a function has an inverse function?
We can check if a function has an inverse function using horizontal Line Test.
What is Function?
A relation between a collection of inputs and outputs is known as a function. In plain English, a function is an association between inputs in which each input is connect
horizontal Line Test
Make f a function. Any horizontal line that crosses the f graph more than once indicates that f lacks an inverse. F does have an inverse if there are no horizontal lines that cross the graph of f more than once.
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A rectangular painting's width is 6 less than twice its length. Given that the perimeter of the painting is 84 inches, select all statements that are true(along with explanation)
The painting’s length is 16 inches.
The painting’s length is 30 inches.
The painting’s width is 26 inches.
The painting’s length is 54 inches.
The painting’s area is 416 square inches.
The painting’s length is 1620 square inches.
Answer:
Step-by-step explanation: it is
The average mass of a giraffe is approximately 1x 10^8 kilograms. The average mass of a blue whale is approximately 2x 10^6 kilograms. About how many times more mass does a giraffe have than a blue whale?
Answer:
Giraffe = 1,000 kg
Whale = 2,000,000 kg
Step-by-step explanation:
Whale has 2,000 times the mass.
Can I please get Branliest and rate, like Thank you!
Which is the algebraic sequence of 1,4,7,10
The algebraic sequence of 1,4,7,10 is aₙ = 3n - 2
How to determine the explicit formula of the sequence?From the question, we have the following sequence that can be used in our computation:
1,4,7,10
In the above sequence, we can see that 3 is added to the previous term to get the current term
Using the above as a guide,
So, we have the following representation
aₙ = aₙ₋₁ + 3
Also, we have
a = 1 i.e. the first term
d = 3 i.e he common difference
When represented explicitly, we have
aₙ = a + (n - 1) * d
So, we have
aₙ = 1 + (n - 1) * 3
Evaluate the products
aₙ = 3n - 2
Hence, the explicit formula is aₙ = 3n - 2
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the ratio of a model car to a regular car is 1 :16 the model is 6.25 inches long what is the length of the actual car in feet and inches?
PLEASE HELP AND SHOW WORK!!!
write an expanded form and find the sum . plzz solve it 100% right...
Step-by-step explanation:
n = 0 : 2(0) -1 = -1
n = 1 : 2(1) - 1 = 1
n = 2 : 3
n = 3 : 5
n = 4 : 7
n = 5 : 9
sum = -1 + 1 + 3 + 5 +7 + 9 = 25
Help me please
in this worksheet
Answer:
the document doesnt open up for me
Step-by-step explanation:
which number is equivalent to (-14+6)-8÷4×4
Answer:
-16
Step-by-step explanation:
(-14+6)-8/4x4
-14+6=-8
-8-8/4x4
Following order of operations, we divide first, then multiply, then add/subtract.
-8-(8/4)x4
-8-2x4
-8-(2x4)
-8-8
-16
---
hope it helps
Answer: its -16
Step-by-step explanation:
Divide Whole Numbers - Tutorial - Level U
The first section has 90 sheep sorted into 3 rows. How many sheep are
in each row of the first section?
Answer:
30 sheep
Step-by-step explanation:
The first section has 90 sheep sorted into 3 rows. How many sheep are
in each row of the first section?
From the above question:
3 rows = 90 sheep
1 row = x
Cross Multiply
3 rows × x = 1 row × 90 sheep
x = 1 row × 90 sheep/3 rows
x = 30 sheep
Therefore, there are 30 sheep in each row of the first section
someone help please and thank you
Answer:
2.5x10^4hr
Step-by-step explanation:
Captain Kevin has a ship, the H. M. S. Khan. The ship is two furlongs from the dread pirate Ben and his merciless band of thieves. The Captain has probability \dfrac{3}{5} 5 3 of hitting the pirate ship. The pirate only has one good eye, so he hits the Captain's ship with probability \dfrac{1}{5} 5 1 . If both fire their cannons at the same time, what is the probability that the Captain hits the pirate ship, but the pirate misses?
Probability that the Captain does NOT hit the pirate's ship × Probability that the pirate hits the Captain's ship = (2/5) × (1/5) = (2/25) = 0.08
What is probability?Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true.
The probability that the pirate hits the Captain's ship, but the Captain misses
= 2/25) = 0.08
P(C) = (3/5) is the likelihood that the captain will strike the pirate ship.
P(C') = 1 - (3/5) = (2/5) is the probability that the captain will miss the pirate ship.
P(p) = (1/5) is the likelihood that the pirate will sink the captain's vessel.
P(p') = 1 - (1/5) = (4/5) is the probability that the pirate will miss the captain's ship.
The likelihood that the pirate will hit the captain's ship while the captain misses is increased if they both fire their cannons at the same moment.
P(C' n p) is he needed probability.
P(C' n p) = P(C') P since the two events are independent of one another (p) The likelihood that the pirate will sink the captain's vessel but that the capain will miss = (Chance that the Captain misses the pirate's ship) (Chance that the pirate hits the Captain's ship) = (2/5) × (1/5) = (2/25) = 0.08
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i dont know how to do it
Answer:
x = 4
y = 28
Step-by-step explanation:
1) y = 7x
2) y = 2x + 20
substitute y = 7x into equation 2:
7x = 2x + 20 now you can solve for x:
7x - 2x = 20
5x = 20
x = 20/5 = 4
Plug x = 4 into either equation 1 or 2 to solve for y:
y = 7x = 7(4) = 28
Find the value of w, then x. Round lengths of segments to the nearest tenth pls help
Answer:
option b is the correct answer
Maria has a monthly cell phone plan that has a fixed
charge of $12 per month plus $0.10 per text message.
Maria wants to spend no more than $40 per month on
her cell phone. Write and solve an inequality that
represents the number of text messages, x, that Maria
can use in a month?
A) x 5 280
B) x 280
C) x < 2.8
Deluxe 2.2.18
Pos
Dace Slide
Students, draw anywhere on this slide!
Answer:
B
Step-by-step explanation:
We can subtract the fixed 12 of 40 to see how much she can spend on messages alone. So we are left with $28.
At 10 cents apiece for every dollar she can send 10. So we would get 280 messages.
I dont understand the options given, I think there are equation signs missing
So it would be B I assume since x=280
Could someone tell me what 6÷1/4=?
Answer:
24
Step-by-step explanation:
Answer:
24
Step-by-step explanation:
I think the answer of this question is 24.
What are directed segments?
Answer:
A directed segment is a segment that has distance (length) and direction. Hope this helps.
HELP PLEASE How many combinations are possible to select a student president, vice president, and treasurer among 23 students? Assume a student cannot hold more than one office.
Answer:
10,626
Step-by-step explanation:
Because being the student president is different from being the treasurer, the order in which students are selected for these roles matters. Therefore, a permutation is used to calculate the number of combinations that are possible, with nPr = n/(n-r) or evaluate it by doing 23c3.
Samantha correctly solved the equation x2 -4x= 4 by completing the square. Which equation is part of her solution?
Answer:
±
2
√
2
+
2
Step-by-step explanation:
2(x+3)=x-4 what's the answer pls help
Answer:
x = - 10
Step-by-step explanation:
2x + 6 = x-4
2x - x = -4 - 6
x= -10
Answer:
The value of x = -10
Step-by-step explanation:
2(x+3) = x - 4
2x + 6 = x - 4
2x - x = -4 - 6
1x = -10
x = [tex]\frac{-10}{1}[/tex]
Value of x equals to -10!
Drag each tile to the correct box.
Arrange the balls in order from greatest amount of gravitational potential energy to least.
A
B
C
A
0-
A
D
B
E
V
C
F
LL
>
D
LLIE
V
LL
F
V
Answer: Ball A, B, C, F, E, D
Step-by-step explanation:
An object has the greatest amount of Gravitational Potential Energy when it is furthest from the ground.
This means that Ball A has the most gravitational potential energy. This is followed by Ball B and Ball C. Then, Ball F is farthest from the ground, followed by Ball E. Ball D has the least gravitational potential energy.
So, the order is as follows: Ball A, B, C, F, E, D
Is the following a direct variation? If yes, identify the constant of variation. If not, explain why.
− y = 3x
The equation given as -y = 3x is a direct variation. The constant of variation is - 1/3
What is a direct variation?It shows the relationship between two variables that can be described mathematically by an equation where one variable equals a constant multiplied by the other.
A straightforward correlation between two variables is referred to as direct variation. In this case, the constant of variation will be k.
This will be Illustrated as:
y = kx
-1 = 3k
Divide
k = -1/3
The constant is - 1/3.
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100 POINTS AND BRAINLIEST.
answer A and B.
wish I could help but I don’t learn these things
Answer:
answer is in picture
Step-by-step explanation:
Which of the following is the graph of y=-4 square root x
Answer:
It would look like that I think
Step-by-step explanation: