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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please help me with the domain and range of the graphs.?part 5
Problem 5
Domain = [tex]-4 \le x \le 3[/tex]
This is because the smallest x value allowed is x = -4 as shown by the left-most point. The right most point has x coordinate x = 3, so this is the largest value in the domain.
The domain in interval notation is [-4, 3]. The square brackets include the endpoint.
--------------
Range = [tex]-4 \le y \le 5[/tex]
We're now looking at the possible y values. The lowest point happens when y = -4 and the highest point is when y = 5. We can have any y value between those endpoints.
The range in interval notation is [-4, 5]
=============================================================
Problem 6
Domain = [tex]-2 \le x < 2[/tex]
Same idea as the previous problem. This time the left most point has x = -2 and the right most point has x coordinate x = 2.
The big difference here is that the open hole says to not include the endpoint. The domain in interval notation is [-2, 2) where we use a parenthesis to not include the endpoint.
-------------
Range = [tex]-4 \le y < 4[/tex]
The smallest possible y value is y = -4. The ceiling for the y values is y = 4, but we can't actually reach this value due to the open hole.
The range in interval notation is [-4, 4)
=============================================================
Problem 7
Domain = [tex]-4 < x \le 2[/tex]
Same idea as earlier. Now the open hole is at the left endpoint. The right most point occurs not at an endpoint this time.
The domain in interval notation is (-4, 2]
-------------
Range: [tex]-4 < y < 4[/tex]
Both endpoints are open holes, so we exclude both endpoints.
The range in interval notation is (-4, 4). Unfortunately in this case, interval notation looks identical to ordered pair notation.
=============================================================
Problem 8
Domain = [tex]-5 < x < 3[/tex]
Domain in interval notation = (-5, 3)
The graph is too blurry to be able to determine the range.
The owner of a construction company buys cement in bulk. He recently paid $600.00 for 6 tons of cement. How much did he pay per pound? (1 ton = 2,000 lbs.)
$0.05 per pound
$0.30 per pound
$0.50 per pound
$100.00 per pound
Answer: $100.00 per pound
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
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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Help me pls!!!ASAP I don’t get 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.
3x + x- 2x + 8 = 3x + x
Answer:
x=4
Step-by-step explanation:
3x+x - 2x + 8= 3x + x
4x- 2x +8 = 4x
2x + 8= 4x
8= 2x
x=4
Question in the picture
Answer:
Average rate of change =250
Step-by-step explanation:
Formula to determine average rate of change of the function,
Average rate of change = [tex]\frac{f(x_2)-f(x_1)}{x_2-x_1}[/tex]
Where [tex]x_1[/tex] and [tex]x_2[/tex] are the points representing number of years after year 2000.
Since [tex]x_1[/tex] = 5 and [tex]x_2=19[/tex],
[tex]f(x_2)=650[/tex]
And [tex]f(x_1)=300[/tex]
Now average rate of change = [tex]\frac{650-300}{19-5}[/tex]
= [tex]\frac{350}{14}[/tex]
= 250
Therefore, average rate of change of the number of influenza cases from 2005 to 2019 is 250.
Determine the intercepts of the line
X-intercept: (__ , __)
Y-intercept: (__, __)
Answer:
3,0
0, -10
Step-by-step explanation:
plz help me
When solving equations containing rational expressions, which of the following is a true statement?
A. The multiplication property of equality only applies to equations where the rational expressions are identical.
B. The solution to an equation with rational expressions must be a rational expression.
C. There is no need to check the solution to an equation with rational expressions since it is guaranteed to be right.
D.The addition property of equality applies to equations with rational expressions.
Answer:
D.The addition property of equality applies to equations with rational expressions.
Step-by-step explanation:
Use the formula for the area of a rectangle A=LW to answer the question. A rectangle has a length of n units. Its width is 8 units more than its length. What is the area of the rectangle?
A. 2n +8
B. N(n+8)
C. N(n-8)
D. 2+8n
Please help and explain I dont get it
Answer:
d is ur answer maybe ok ok ok
Answer:
B. N(n+8)
Step-by-step explanation:
A rectangle's area is Length x Width
The rectange's length is not known to us. N is it's variable
It says the width is 8 units mor then the length and ask for the are of the rectangle.
Now since rectangle's area is length times width we multiply n (the length) with the width (8+n).
This would be N(n+8)
What is 50000000000 + 500000000000
Answer:
1,000.000,000,000
Step-by-step explanation:
Answer:
free
Step-by-step explanation:
What is the distance between -40 and 185
Answer:
225
Step-by-step explanation:
185-(-40)=
185+40=
225
Answer: 145
Step-by-step explanation: -40+185=145 Your welcome :)
Help me with this question please
$1.5 x 10^13 in decimal
-6y-3x=-18 for x and y
The answer fam is..... X = 6 - 2y, Y = 3 - x/2
Do i have to write something for E or do I leave it blank
Answer:
blank
Step-by-step explanation:
Answer:
Blank
Step-by-step explanation:
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]
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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Of the students in the marching band, 55%
plan to go to the school dance. If there are
110 students in the marching band that are
going to the dance, how many students
are in the marching band?
The answer is 200 because when you divide 110 from 55% you get 200.
Of the students in the marching band, 55% plan to go to the school dance, so there are 200 students in the marching band.
What is Percentage?A certain portion or amount in every hundred is referred to as a percentage. The fraction is denoted by the sign "%," and its denominator is 100.
The Latin word "per centum," which means "by the hundred," is where the word "percentage" originally came from. With 100 as the denominator, percentages are fractions. To put it another way, it's the relationship between a component and a whole in which the value of the whole is always assumed to be 100.
From the given values in the question,
Assume that total number of students in marching band is x.
55% of x = 110 or,
(55/100) × x = 110
x = (110 × 100) / 55
x = 200.
Hence, it concludes that there are total 200 students are in the marching band.
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The management of Hartman Rent-A-Car has allocated $2.52 million to buy a fleet of new automobiles consisting of compact, intermediate-size, and full-size cars. Compacts cost $18,000 each, intermediate-size cars cost $27,000 each, and full-size cars cost $36,000 each. If Hartman purchases twice as many compacts as intermediate-size cars and the total number of cars to be purchased is 100, determine how many cars of each type will be purchased. (Assume that the entire budget will be used. Let x, y, and z denote the number of compact, intermediate-sized, and full-size cars purchased, respectively.)
Answer:
The number of compact cars = x = 30 cars
The number of intermediate-sized car = y = 60 cars
The number of full-size cars purchased = z = 10 cars
Step-by-step explanation:
Let us denote:
the number of compact car = x
the number of intermediate-sized car = y
the number of full-size cars purchased = z
The total number of cars to be purchased is 100.
Hence:
x + y + z = 100...........Equation 1
If Hartman purchases twice as many compacts as intermediate-size cars
y = 2x
So: x + 2x + z = 100..........Equation 2
= 3x + z = 100
z = 100 - 3x
Compacts cost $18,000 each, Intermediate-size cars cost $27,000
Full-size cars cost $36,000 each.
Assume that the entire budget will be used.
Hence,
x × $18,000 + y × $27,000 + z × $36,000 = $2,520,000.
18000x + 27000y + 36,000z = $2,520,000.....Equation 4
Substitute 100 - 3x for z and y = 2x in Equation 4
18000x + 27000(2x) + 36,000(100 - 3x) = $2520000
18000x + 54000x + 3,600,000 -108000x = $2520000
72000x -108000x + 3,600,000 = $2,520,000
= $3,600,000 - $2,520,000 = 108000x - 72,000x
$1,080,000 = 36,000x
Divide both sides by $36,000
x = $1080000/36000
x = 30
From the above:
y = 2x
y = 2 × 30
= 60
z = 100 - 3x
= 100 - 3 × 30
= 100 - 90
= 10
Therefore,
The number of compact cars = x = 30 cars
The number of intermediate-sized car = y = 60 cars
The number of full-size cars purchased = z = 10 cars
3/4 divided by 1/4 equal
Answer:
3
Step-by-step explanation:
you have to make 1/4 a reciprocal
3/4 times 4/1
=3
Answer:
3
Step-by-step explanation:
Step 1:
3/4 × 1/4 Equation
Step 2:
3/4 × 4/1 Flip Fraction
Step 3:
3/1 = 3 Multiply
Answer:
3
Hope This Helps :)
use the functions to find x
Answer:
x = 14
Step-by-step explanation:
[tex]f(x) = 10 - \frac{9}{2} x \\ \\ plug \: f(x) = - 53 \\ \\ - 53 = 10 - \frac{9}{2} x \\ \\ \frac{9}{2} x = 10 + 53 \\ \\ \frac{9}{2} x = 63 \\ \\ x = 63 \times \frac{2}{9} \\ \\ x = 7 \times 2 \\ \\ x = 14[/tex]
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
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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Any help is appreciated.
Step-by-step explanation:
Hey there!
Now, let's look into figure.
angle ACB = 65° { Base angle of triangle ABC}
angle ACB + angle BAC + angle ABC = 180°
65° + 65° + angle ABC = 180°
angle ABC = 180°-130°
Therefore, angle 50°
angle EBD = 50° ( Vertically opposite angle)
Now;
angle EBD= angle DEB = 50° ( Base angle of triangle BDE )
angle BDE + angle DEB + angle EBD = 180° ( Sum of interior angle)
angle BDE = 180° -100°
Therefore, angle BDE = 80°.
Now, 80° + 14x + 2 = 180° { being linear pair}
14x = 180°-82°
14x = 98°
[tex]x = \frac{98}{14} [/tex]
X = 7°
Hope it helps......
16 cm
12 cm
radius of cylinder = 5 cm
radius of cone = 4 cm
A cylinder has a height of 16 cm and a radius of 5 cm. A cone has a height of 12 cm and a radius of 4 cm. If the cone is placed inside the cylinder
as shown, what is the volume of the alr space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of pl'.)
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!!