A hot air balloon is descending at a rate of 6.75 feet per second.
What is the change in the balloon's height after 3 seconds?
The hot air balloon will descend 20.25 feet per second.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that a hot air balloon is descending at a rate of 6.75 feet per second. The height of the balloon after 3 seconds will be:-
Rate of change = Height / Time
6.75 = Height / 3
Height = 6.75 x 3 = 20.25 feet
Therefore, the hot air balloon will descend 20.25 feet per second.
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How do you build a triangle if you are given 3 numbers like 3,4,5. Provide an example besides 3,4,5 or a non-example.
Pattern:
Example:
Answer:
3, 4, and 5 make a right triangle (Pythagorean triple). 3 and 4 are the legs, 5 is the hypotenuse. Another example is 9, 12, 15, with 9 & 12 as the legs and 15 as the hypotenuse on a right triangle.
Step-by-step explanation:
Pythagorean triples (measurements are whole numbers) are always in a 3:4:5 ratio; the longest side is always hypotenuse; the right angle is always opposite of the hypotenuse; the legs will be perpendicular (making right angle)
Simplify: 2y + x + 3x - y
Answer:
y + 4x
Step-by-step explanation:
For this problem, we will simply combine like terms using the distributive property and the commutative property.
First, let's use the commutative property:
2y + x + 3x - y
= 2y - y + x + 3x
Second, let's use the distributive property:
2y - y + x + 3x
= y ( 2 - 1 ) + x ( 1 + 3 )
= y ( 1 ) + x ( 4 )
= y + 4x
Hence, the simplification of 2y + x + 3x - y is y + 4x.
Cheers.
Select the correct answer. What is the factored form of m6 − 64n3? A. (m2 + 4n)(m4 − 4m2n + 16n2) B. (m − 4n2)(m2 + 4mn2 + 16n4) C. (m + 4n2)(m2 − 4mn2 + 16n4) D. (m2 − 4n)(m4 + 4m2n + 16n2)
Answer:
D.
Step-by-step explanation:
(m^2- 4n)(m^4+4m^2n+16n^2)
Option D is our correct answer.
i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).
Given,
[tex]m^{6}[/tex] - 64n³
We need to find the factored form of this.
And select the correct options.
A. (m2 + 4n)(m4 − 4m2n + 16n2)
B. (m − 4n2)(m2 + 4mn2 + 16n4)
C. (m + 4n2)(m2 − 4mn2 + 16n4)
D. (m2 − 4n)(m4 + 4m2n + 16n2)
What is the formula of (a³ - b³)?It is given as:
( a - b ) ( a² + ab + b² )
Find the factored form [tex]m^{6}[/tex] - 64n³
We can write this as,
[tex](m^{2})^3[/tex] - 4³n³
(m²)³ - (4n)³
This is in the form of (a³ - b³).
Applying this formula.
Now,
(m² - 4n) ((m²)² + 4nm + (4n)²)
(m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²)
Thus Option D is our correct answer.
i.e (m² - 4n) ([tex]m^{4}[/tex] + 4nm + 16n²).
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You have $9.33. You buy 7 items that cost $0.87 each. How much money do you have left?
Answer:
$3.24
Step-by-step explanation:
0.87 x 7 = 6.09
9.33 - 6.09 = 3.24
show your work
v/8= 2
Step-by-step explanation:
v/8=2
v=8×2
v=16
16/8=2
Answer:
v = 16
Step-by-step explanation:
v/8 =2
Lets isolate v.
Multiply 8 on both sides.
v = 16
This is a one step equation, so there isn't realy that much to it.
D
Question 2
1 pts
Two people are pushing a car. One person is pushing with a force of 450 N and the
other person is pushing with a force of 300 N. What information is needed to
determine the net force applied to the car by the people?
the direction of the road
the direction of the forces
the weight of the two people
the weight of the automobile
Answer:
the direction of the road
Step-by-step explanation:
To calculate the net force, we need to know the direction through which the forces are acting.
Are the forces directed towards one another or against each other?
Net force is a vector sum of forces that acts on a body. It is that single force that can replace two or more forces acting on a body.
If the forces are against each other, we subtract them. If they act on a body together, we add them.So, without knowing the direction, we cannot calculate the net force.
the area of rectangle is 40 sq. cm. Find its length when it is 3 more than its width
Answer:
8 cm.
Step-by-step explanation:
Area = length × width
Use the variable w instead of width.
Area = w × (w+3)
Substitute 40 for the Area
40 = w × (w + 3)
Create a table to find the greatest common factors of 40.
1 × 40, not it because 40 is 39 units greater than 1, not 3
2 ×20, not it because 20 is 18 units greater than 2, not 3
4 × 10, not it because 10 is 6 units greater than 4, not 3
5 × 8, correct because 8 is 3 units greater than 5
Now substitute 5 for w to check your answer
40 = 5 × (5 +3 )
40 = 5 × 8
40 = 40
The answer is correct.
Hope this helps!!!
A rectangle is a quadrilateral with 4 sides. In a rectangle, one side is longer than the other. The longer side is called the width and the shorter side is called the length.
The length of the rectangle is 8cm.
The formula for the area of a rectangle is given as :
Length x Width
From the question, the length is 3 more than its width. We can represent this mathematically as:
L = W + 3
Area of the rectangle = 40 sq. cm
Inputting this into the formula
(W + 3) x W = 40
W² + 3W = 40
W² + 3W - 40 = 0
Factorise
W² +8W - 5W - 40 = 0
W(W + 8) - 5(W + 8) = 0
(W + 8)(W - 5) = 0
To find W
W + 8 = 0
W = - 8 or
W - 5 = 0
W = 5 cm
Therefore, the width is 5cm.
To find the length, L = W + 3
L = 5 + 3
L = 8 cm
Therefore, the length is 8 cm.
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angles a and b are complementary angles. If m A = (3x + 9)° and m
ZB = (x - 11)°, then find the measure of angle a
Answer:
78°
Step-by-step explanation:
Since, angles A and B are complementary.
[tex]\therefore m\angle A + m\angle B = 90\degree \\
\therefore (3x+9)\degree + (x - 11)\degree = 90\degree \\
\therefore (3x +x +9-11)\degree = 90\degree \\
\therefore (4x - 2)\degree = 90\degree \\
\therefore 4x - 2 = 90\\
4x = 90+2\\
4x = 92\\ \\ x = \frac{92}{4} \\ \\ x = 23 \\ \\ \because m\angle A = (3x+9)\degree \\ \therefore \: m\angle A = (3 \times 23+9)\degree \\ \therefore \: m\angle A = (69+9)\degree \\ \huge \red{ \boxed{ \therefore \: m\angle A = 78\degree }}[/tex]
What is 20 times the difference of nine and a number in an algebraic expression
Answer:
20(9-n)
Step-by-step explanation:
Answer:
20(9-n)
Step-by-step explanation: I did I’d on a piece of paper and got that for my answer hope this helped
Point N is on line segment MO. Given NO = 14 and MO = 18, determine the length MN.
if the total angle of a triangle is 180 A- 43 1/2 B-5x C-26.5 and the started value is 20 what is X?
Answer:
x= 20.05 degree
180= 43.25+36.50+5x
180= 79.75+5x
5x=180-79.75
5x=100.25
x=20.25
ANGLE B= 100.25
Give the Quadratic function x^2+4x-2 if x is -3
Answer:
-23
Step-by-step explanation:
You're welcome :)
How much tax would you pay on an item at 5% tax rate costing $75? (Round to the nearest cent)
Answer:
3.75
Step-by-step explanation:
Answer:
$3.75
Step-by-step explanation:
All you are going to do is multiply .05 or 5% by 75.
.05 * 75 = 3.75
(So now you are going to add 3.75 to $75 because the tax is 3.75)
75 + 3.75 = $78.75
(So you would pay $3.75 in tax)
Hope this helped!!
PLEASE HELP RUNNING OUT OF TIME .!!! A boat designer plans to construct a triangular sail with base 90 centimeters and altitude 4 meters. The designer uses square centimeters to describe the amount of material needed for the sa
Which statement BEST describes the appropriateness of the unit the designer chose?
A
While the units are correct, a larger unit should be chosen
B
The units are incorrect because the units that should be used for the base is centimeters,
С
The units are correct and of a well-chosen size
D
The units are incorrect because the units that should be used for the altitude is meters.
Answer:
b
Step-by-step explanation:
The statement is either true in all cases or false. If false, construct a specific example to show that the statement is not always true. If v_1, ......, v_4 are in R^4 and v_3 = 2v_1 + v_2, then {v_1, v_2, v_3, v_4} is linearly dependent. Choose the correct choice below and, if necessary, fill in the answer boxes to complete your choice. a. True Because v_3 = 2v_1 +v_2, v_4 must be the zero vector. Thus, the set of vectors is linearly dependent. b. True. The vector v_3 is a linear combination of v_1 and v_2, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent. c. True. If c_1 =2, c_2 = 1, c_3 = 1, and c_4 = 0, then c_1v_1 + middot middot middot + c_4v_4 =0. The set of vectors is linearly dependent. d. False. If v_1 =, v_2 =, v_3 =, and v_4 = [1 2 1 2], then v_3 = 2v_1 + v_2 and {v_1, v_2, v_3, v_4} is linearly independent.
Answer: The correct option is (B).
True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.
Step-by-step explanation:
Given that;
If V₁ ....... V₄ are in R⁴ and V₃ = 2V₁ + V₂ then {V₁, V₂, V₃, V₄} is linearly dependent.
Lets {V₁, V₂, V₃, V₄} are linearly dependent
Then there exist a scalars C₁, C₂, C₃, C₄
So that C₁V₁ + C₂V₂ + C₃V₃ + C₄V₄ = 0
where at least one of the Ci ≠ 0.
Take C₃ ≠ 0 then we have V₃ = (C₁V₁ + C₂V₂ + C₄V₄) / C₃
V₃ is a linear combination of V₁, V₂ and V₄}
that is
Given V₃ = 2V₁ + V₂
⇒ 2V₁ + V₂ - V₃ = 0
⇒ 2V₁ + V₂ + V₃ + 0V₃ = 0
Here, C₁ = 1, C₂ = 1, C₃ = -1 and C₄ = 0
So that {V₁, V₂, V₃, V₄} is linearly dependent.
therefore option B id the right answer.
- True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and set is linearly dependent.
B is the correct option. True, The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others and the set is linearly dependent.
If V₁ ....... V₄ are in R⁴ and V₃ = 2V₁ + V₂ then {V₁, V₂, V₃, V₄} is linearly dependent.
What is meant by linearly dependent?A set of vectors is linearly dependent if some vector can be expressed as a linear combination of the others.
Let's consider {V₁, V₂, V₃, V₄} are linearly dependent
then there exist a scalars C₁, C₂, C₃, C₄
therefore, C₁V₁ + C₂V₂ + C₃V₃ + C₄V₄ = 0
where at least one of the Ci ≠ 0.
Lets C₃ ≠ 0 then we will get
V₃ = (C₁V₁ + C₂V₂ + C₄V₄) / C₃
V₃ is a linear combination of V₁, V₂, and V₄
which means V₃ = 2V₁ + V₂
2V₁ + V₂ - V₃ = 0
2V₁ + V₂ + V₃ + 0V₃ = 0
Here, C₁ = 1, C₂ = 1, C₃ = -1 and C₄ = 0
therefore, {V₁, V₂, V₃, V₄} is linearly dependent.
So, option B is correct here.
True. The vector V₃ is a linear combination of V₁ and V₂, so at least one of the vectors in the set is a linear combination of the others, and the set is linearly dependent.
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0.00000001073 as a scientific notation
Answer:
3.456 × 1011
please choose me brainliest
A pot of stew is placed on a stove to heat. The temperature of the liquid reaches 170°F, and then the pot is taken off the burner and placed on a kitchen counter. The temperature of the air in the kitchen is 76°F.
If k = 0.34, the temperature of the liquid after 7 hours will be
Answer:
Step-by-step explanation:
scvghytredfvbghnju7y6tg
A race car can complete 8 laps in 1/3 hour at this rate how many hours will it take the race car to complete 1 lap
Answer:
It will take 6.66 minutes to complete one lap.
Simplify –(x + 5) + 3x
Simplify.
-9 -5 -7
х
Y Z
2 6 3
X Y Z
Answer:
[tex] = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10}[/tex]
Step-by-step explanation:
[tex] = \frac{ {x}^{ - 9} {y}^{ - 5} {z}^{ - 7} }{ {x}^{2} {y}^{6} {z}^{3} } \\ = {x}^{ - 9 - 2} {y}^{ - 5 - 6} {z}^{ - 7 - 3} \\ = {x}^{ - 11} {y}^{ - 11} {z}^{ - 10} [/tex]
solve for the value of x will Mark brainious there's two questions left and I appreciate every one of y'all for helping 7x+9 5x+3 theres 5 answers 12 13 14 15 which one you are all so amazing 2 questions left ty all
Answer:
x = 14Step-by-step explanation:
7x + 9 + 5x + 3 = 180
7x + 5x = 180 - 3 - 9
12x = 168
x = 168 / 12
x = 14
Answer:
14
Step-by-step explanation:
By applying the vertical angle theorem to 5x + 3, using same-side exterior angle theorem, we can find that:
(7x + 9) + (5x + 3) = 180
Now to find x, we can just solve for x in the equation we found.
(7x + 9) + (5x + 3) = 180
Combine like terms.
12x + 12 = 180
Subtract 12 from both sides.
12x = 168
Divide both sides by 12.
x = 14
So the value of x would be 14.
I hope you find my answer and explanation to be helpful. Happy studying.
Because it is given that <6 and <14 are congruent, and <10 and <15 are congruent. <14 is congruent to <15 , and <10 is congruent to <11 because of the
PART A:
vertical angles theorem?
alternate exterior angles theorem?
same side interior theorem?
PART B:
By the
Transitive Property
Reflective Property
Substitution Property
PART C:
Alternate Interior Angles
Corresponding Angles
Vertical Angles
Answer:
Did you ever figure it out? I need the answer :/
Step-by-step explanation:
help will do brainliest plz asap!!!
The 250m between Sam's house and the tennis court corresponds to 5 cm on a town map. What is the actual distance between Sam's school and the library if they are 8.4 cm apart on the same map?
Answer:
420m
Step-by-step explanation:
250m = 5cm
50m = 1cm
? = 8.4cm
50 x 8.4=
420m = 8.4cm
Step-by-step explanation:
firstly we need to find the scale factor
firstly we know that 250m=25000cm
25000/5=5000
so 1:5000 is scale factor.
Now let us find the distance between Sam's school and the library
if they are 8.4 cm apart on map it means that in actual distance they are
(8.4)*5000=42000 cm in reality
PLEASE HELP ME THIS IS DUE IN 20 minutes !!! Which relation is a function?
Answer:I may not be right but i think it D Im sorry if im wrong
The perimeter of a triangle is 95 centimeters. If two sides are equally long and the third side is 5 centimeters longer than the others, find the lengths of
the three sides?
The length of each of the two equal sides is ____centimeters
Answer:
[Let x = length of Side 1]
["two sides are equally long"]
["third side is 7cm longer than each of the others" (note edit)]
["perimeter of a triangle is 82 centimeters"]
Step-by-step explanation:
What would A,B,C,D be?
Answer:
A would be 54,B would be 54, C would be 65, d would be 61
In a quiz, positive marks are given for correct answers and
negative marks are given for incorrect answers. If Jack ‘s scores
in five successive rounds were 25, -5, -10,15 and 10, what was his
total at the end?
Answer:
35
Step-by-step explanation:
just trust me its the total
Answer:
35
Step-by-step explanation:
25-5=20
20-10=10
10+15=25
25+10=35
2548 rounded to thousand
Answer:
3000
Step-by-step explanation:
I really need help on this problem!!
Mr.Allen wants to build a pen as large as possible for his pigs but unfortunately he can’t afford it and can only afford 24 feet of fencing he does not want his pigs to get out so there should be no gaps of holes in the pen
1. What the largest possible pen he can make for his pigs using the fencing he has . Draw out the different fences you can crest on a graph paper
2. What shape provided the largest area for his pigs
Answer:
a rectangle would provide the largest area for the pigs