Answer:
Dive by n square root two, also option one.
Step-by-step explanation:
The first step to any algebra equation is to isolate the variable and you do that by divide square root 2 since it cancels out on the left side and now n is alone.
Hoped that helped :)
A bond is initially bought for $250. It doubles in value every decade.Write an equation relating v, the value of the bond, to d, the number of decades since the bond was bought.
Answer:
V=250(2d)
Step-by-step explanation:
The equation representing the value of a bond doubling every decade is
V = 2d(250).
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, A bond is initially bought for $250 and it doubles in value every decade.
Let, 'v' be the value of the bond at any given time and 'd' be the number of decades.
Therefore, The equation that represents this situation is,
V = 2d(250).
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13. A pilot flying over norfolk airport is told he will have to redirect and land in either richmond or raleigh. Due to air traffic, he is then told he must land in raleigh. find the distance he will travel.
- the answer is 151 miles,but I need work :)
Answer:
151 mi
Step-by-step explanation:
Considering the question given, the distance we are trying to obtain is the distance between Raleigh and Norfolk.
Steps on how to obtain the distance travel by the pilot is given in the attached photo.
A pencil factory puts 12 pencils in each box of pencils. The pencil factory sends out 83 boxes of pencils in each shipment. This year, they sent out 36 shipments of pencils. How many pencils did they ship this year?
Answer:
35856
Step-by-step explanation:
12 times 83 is 996 and 996 times 36 is 35856
The pencil factory shipped 35,856 pencils this year.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given, A pencil factory puts 12 pencils in each box of pencils. The pencil factory sends out 83 boxes of pencils in each shipment.
So, The number of pencils in 83 boxes or one shipment is = (12×83).
= 996 pencils.
And This year, they sent out 36 shipments of pencils.
Therefore, The total number of pencils shipped this year is,
= (996×36).
= 35,856 pencils.
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a washer and a dryer cost $809 combined. the washer costs $91 less than the dryer. what is the cost of the dryer?
Answer:
The Dryer cost is 450
Step-by-step explanation:
The washer cost $450. and together they have the cost is 787.
A washer and a dryer cost $809 combined.
Let the dryer cost x.
Then, the washer costs (x-91)
Together, they cost (x) + (x-91) =809
2x+91 = 809
We have to solve this equation
What is the equation?An equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
2x = 718 ....... [subtract 97 from both sides]
x = 359 ....... [divide both sides by 2]
The dryer cost $359.
Therefore, the washer cost $450.
Together, they cost,
450+359=$787
The washer cost $450. and together they have the cost is 787.
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Find the slope of the line perpendicular to the line graphed.
A) -3
B) -
1
3
C)
1
3
D) 3
it's whatever the opposite is so if the slop is 3 the perpendicular would be -3
if the slope is 13 it perpendicular would be -13
3 Polnis
-
Trevor has a $1000 bond with a 4.5% coupon. Trevor purchased this bond for
$965. What is the yield of this new bond?
O A. 5%
OB. 5.1%
C. 4.5%
D. 4.7%
Answer:
D.4.7%
Step-by-step explanation:
The graph shows a line and two similar triangles.
What is the equation of the line?
A) y=3x
B) y=1/3x
C) y=1/3x+2
D) y=3x+2
A company usually sends 9 people to install a security system in an office building, and they do it in about 96 minutes. Today, they have only three people to do the same size job. How much time should be scheduled to complete the job?
Answer:
The Answer would be 288 minutes
Step-by-step explanation:
So we have 9 people working to install a security system in an office building. they take about 96 minutes.
Today we have 3 people doing the same job.
yesterday we had 9 people doing the same job
so we would multiply 96 minutes by 3 because we divided the amount of people by 3
96x3= 288
3 people takes 288 minutes to do the same job.
To complete the installation of a security system that normally takes 9 people 96 minutes, three people would require 288 minutes given each person works at the same rate and the work is additive.
Explanation:When a company usually sends 9 people to install a security system in 96 minutes, and today only has three people available for the same task, we need to calculate the expected time for completion. First, we assume that each person works at the same rate. With 9 people, it takes 96 minutes, so with one person, it would take 9 times longer, since the number of workers is inversely proportional to the time needed.
So, one person would take 9 × 96 = 864 minutes to do the job alone. Therefore, three people would take 864 ÷ 3 = 288 minutes to complete the installation of the security system.
This calculation is based on the assumption that the work done by each individual is additive and that they are working on the task continuously and independently without interruption.
Please help I really need it!! Answer for both
Answer:
(-11, -4)
Step-by-step explanation:
this is the answer
Find the area of the rhombus.
4√3 m
4 m
Answer:
Area of rhombus = 8√3 m²
Step-by-step explanation:
Diagonal of rhombus is given as:
[tex] D_{1} [/tex] = 4 m
[tex] D_{2} [/tex] = 4√3 m
[tex]Area \: of \: rhombus = \frac{D_{1}D_{2}}{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{4 \times 4 \sqrt{3} }{2} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 2 \times 4 \sqrt{3} \\ \\ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 8 \sqrt{3} {m}^{2} [/tex]
Susannah made the line plot below to show the distances she hiked each day in the past two weeks.
Distances Hiked
Then she wrote this sum to find the total number of miles she hiked
(5+ x 3) + (6 + x 5) + (74 x 2) (74 x 1) + (73 x 1)
Which of the following must be added to the sum to get the correct total?
Answer:
Correct option: B -> (5 1/2) * 2
Step-by-step explanation:
We can observe the number of different distances she hiked:
5 1/4, 5 1/2, 6 1/4, 7 1/4, 7 1/2 and 7 3/4.
In Susannah's equation, we have only 5 parts, so it's missing one distance, that is 5 1/2.
In this distance there are 2 circles, so she hiked this distance two times. Then, the missing value that Susannah should sum is:
(5 1/2) * 2
Correct option: B
plz answer the question
Answer:
c = 11.3 yards
Step-by-step explanation:
The area (A) of a trapezium is calculated as
A = [tex]\frac{1}{2}[/tex] h (a + b)
where h is the perpendicular height and a, b the parallel bases
Here A = 416.955, h = 20.9, a = 28.6 and b = c, thus
[tex]\frac{1}{2}[/tex] × 20.9 × (28.6 + c) = 416.955, that is
10.45(28.6 + c) = 416.955 ( divide both sides by 10.45 )
28.6 + c = 39.9 ( subtract 28.6 from both sides )
c = 11.3 yards
A rectangular one story house covers an area of 3,700 square feet. The ceilings are 8 feet high. What is the volume of the interior of the house?
Answer:
29,600 feet cubed
Step-by-step explanation:
The surface area is 3700 square feet.
The house is 8 feet tall.
Simply, you just have to multiply 3700 * 8.
What does this equal?
Answer:
x²y²+xy²+3+xy+2y²
Step-by-step explanation:
(2x²y²+x²y+xy²+3)-(x²y²+x²y²+x²y-xy-2y²)
1. remove the parentheses (when there’s - in front of an expression in parentheses change the sign of each term of the expression)
2x²y² + x²y + xy² + 3-x²y² - x²y² - x²y + xy - 2y²
2. eliminate the opposites
2x²y² + xy² + 3 -x²y² + xy +2y²
3. collect like terms
x²y² + xy² + 3 + xy + 2y²
Score for Question 3: ___ of 5 points)
3. Use the diagram of a REGULAR HEXAGON and follow these steps to solve for the area of a hexagon with sides equal to 4 cm. Leave radicals in your answers.
How many equilateral triangles are there? __________
If we cut an equilateral down the middle (green line) what special triangle do you create? __________
Sketch and label all side lengths of the 30-60-90 triangle by itself below.
What is the length of the short side of one 30-60-90 triangle? __________
What is the length of the hypotenuse of one 30-60-90 triangle? __________
Apply properties of 30-60-90 triangles to calculate the long leg: ¬¬¬¬___________
What is the vocabulary word for the long side of the 30-60-90 called in the polygon (green line)? ____________
What is the height of the equilateral triangle? _________
Apply triangle area formula to calculate the area of one equilateral triangle: ____________
Calculate the area of the complete hexagon by multiplying area of one equilateral triangle by # of triangles:
Answer:
(a)6 Equilateral Triangles.
(b)30-60-90 triangle.
(c)See Attached Triangle in Figure 2
(d)Length of the short leg = 2cm.
(e)Length of the hypotenuse= 4cm.
(f)Length of the long leg=[tex]2\sqrt{3}cm[/tex]
(g)Apothem.
(h)Height of the Equilateral triangle=[tex]2\sqrt{3}cm[/tex]
(i)Area of One Equilateral triangle =[tex]4\sqrt{3}cm^2[/tex]
(j)Area of Hexagon =[tex]=24\sqrt{3}\:cm^2[/tex]
Step-by-step explanation:
(a)From Figure 1, there are 6 Equilateral Triangles.
(b)If we cut an equilateral down the middle (green line), we create a 30-60-90 triangle.
(c)Triangle Attached in Figure 2.
(d)The length of the short leg of one of the 30-60-90 triangle is 2cm.
(e)The length of the hypotenuse of one of the 30-60-90 triangle is 4cm.
(f)Length of the long leg
We use Pythagoras Theorem to find the length of the long leg of the right triangle.
[tex]4^2=2^2+l^2\\l^2=4^2-2^2=12\\l=\sqrt{12}=2\sqrt{3}cm[/tex]
(g)The vocabulary word for the long side of the 30-60-90 called in the polygon (green line) is Apothem.
It is line segment from the center to the midpoint of one of the sides of a polygon.
(h)Height of the Equilateral Triangle=[tex]2\sqrt{3}cm[/tex]
(i)Area of One Equilateral triangle
Base =4 cm, Height =[tex]2\sqrt{3}cm[/tex]
Area=0.5X4X[tex]2\sqrt{3}cm[/tex]
=[tex]4\sqrt{3}\:cm^2[/tex]
(j)Area of Hexagon =Area of One Equilateral Triangle X 6
[tex]=6X 4\sqrt{3}\\=24\sqrt{3}\:cm^2[/tex]
Emilia made fewer than 27 bracelets last week. The variable b represents the number of bracelets. The inequality describes the number of bracelets that Emilia made. Which could be a solution to the inequality?
26
29
33
40
Answer:
The answer is A. 26
Step-by-step explanation:
26 is the only answer that makes sense becuase it is the only one less that 27. The answer is written as 26>27. All tho anwers dont make sense because they are less than 27.
PLUS I TOOK THE TEST
What is the slope in the equation
Screenshot attached
Answer:
the answer is 2
Step-by-step explanation:
bc 3 is the y-intercept
Classify the triangle using its angles and sides
(choose 2)
A.) Acute
B.) Obtuse
C.) Scalene
D.) Equilateral
Answer:
obtuse, scalene
Step-by-step explanation:
Answer:
obtuse, scalene
Step-by-step explanation:
I did the quiz
Jonas has 5 apples and 6 oranges in a fruit basket. The basket contains 13 pieces of fruit. Which statement is true
regarding the contents of the fruit basket?
The fraction of apples in the basket is greater than the fraction of any other type of fruit in the basket.
The fraction of oranges in the basket is greater than the fraction of any other type of fruit in the basket
There are 3 other pieces of fruit in the basket
There are 6 types of fruit in the basket.
Answer:
B The fraction of oranges in the basket is greater than the fraction of any other type of fruit in the basket
Step-by-step explanation:
5 apples + 6 oranges is 11 fruits. witch means thare are 2 unidentified fruits tharefore C is wrong and D is wrong. and it couldn't be A because 5 is smaller than 6.
Answer:
The fraction of oranges in the basket is greater than the fraction of any other type of fruit in the basket.
Step-by-step explanation:
The oranges make up [tex]\frac{6}{13}[/tex]
The apples make up [tex]\frac{5}{13}[/tex]
The unknown rest of the fruit basket make up [tex]\frac{2}{13}[/tex]
The oranges are the greatest fraction.
Question 5:
Factor (x^2 – 9) (x^2 – 5x + 4) completely.
Answer:
I believe the answer is (x+3)(x-3)(x-4)(x-1)
Step-by-step explanation:
Notice both terms are perfect squares, therefore you can factor using the difference of squares formula:
(x²-9)(x²-5x+4)
For the first term, we get (x+3)(x-3) because x²-9 is a perfect square.
For the second term, we get (x-4)(x-1) because x²-5x+4 is a perfect square trinomial.
If you have any further questions about this problem, you can comment them down below and I'll try to answer them.
i need help with this
Answer:
MAYBE Italian tuna tomatoes and american cheese
Step-by-step explanation:
Plz help i will give brainliest
Answer:
$56
Step-by-step explanation:
35 percent *160 =
(35:100)*160 =
(35*160):100 =
5600:100 = 56
Answer:
$56.
Step-by-step explanation:
Since it is 35% off, we can simply take 35% of the original price:
160 × 0.35 = $56.
You roll a number cube. How likely is it that you will roll a number less than 3? Explain.
Answer:
0.3333
Step-by-step explanation:
If so, there are two numbers less than 3: 1 and 2. There are 6 total possible results, so the probability of rolling a number less than 3 is 26 or 13 or 0.3333
Answer:
2/6 which can be simplified to 1/3
An account earns simple annual interest.
$1800 at 6.5% for 30 months
a. Find the interest earned.
b. Find the balance of the account.
Answer:
$2,092.5 with $292.5 in interest.
Step-by-step explanation:
30 divided by 12 (to find the years/leftover months) [do this as an improper fraction to be a little simpler] 30/12 = 2 6/12 or 2 years 6 months
6.5% of 1800 is 117
117y = 117(2.5) = 292.5 [this is the interest]
1800 + 292.5 = 2,092.5
Answer:
THIS IS CORRECT I JUST ANSWERED
Step-by-step explanation:
Interest earned: $292.50
Balance: $2092.50
How do I find this?Please help!!!
Answer:
d) [tex]y=-\frac{1}{2} (x-3)^{2} -4[/tex]
Step-by-step explanation:
When you reflect an equation the slope is the opposite (if the slope is positive it'll be negative when reflected)
The slope is [tex]\frac{1}{2}[/tex] and when it is reflected it is [tex]-\frac{1}{2}[/tex]
When you shift something to the right you add [tex](x-3)^{2}[/tex]
In driving down to Salem, Nathan strictly followed the speed limit. He drove 55 mph for 15 minutes in the city and then 65 mph for 25 min through the countryside.
What was Nathan’s average speed for the whole trip?
61.25MPH
55*15+65*25=2450
2450/40=61.25MPH
ANSWER IS 61.25 MPH
2. Vance is solving the inequality below and will represent his solution on a number line. Which of the following is NOT true about the number line Vance will create?
-7c-13<64
-
a. The number line should have a closed circle
b. The arrow will point to the left
c. The circle should be placed above -11
d. All of the above are true
)) Sophie bought 6 packages of cat food and 4 packages of dog food. Each package of cat
food contained 8 cans, and each package of dog food contained 2 cans. How many more cans
of cat food than dog food did Sophie buy?
Answer:
6 x 8 = 45 cans of cat food
4 x 2 = 8 cans of cat food
45 - 8 = 37
Sophie has 37 more cans of cat food than she does of dog food
Step-by-step explanation:
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a radius of 7 feet and a height of 11 feet. Container B has a
radius of 6 feet and a height of 16 feet. Container A is full of water and the water is
pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of water in Container B, to the
nearest tenth of a cubic foot?
please help!!
Answer:
1693.3 ft³
Step-by-step explanation:
The volume of a cylinder is given by; V = πr²h
For container A;
we are given;
Radius;r = 7ft
Height; h = 11 ft
Thus; Volume of container A = π•(7²)•11 = 1693.318 ft³
Similarly,
For container A;
we are given;
Radius;r = 6 ft
Height; h = 16 ft
Thus; Volume of container B = π•(6²)•16 = 1809.557 ft³
Now, since container A was full of water and all of it was pumped into container B, thus, the volume of the water in container B = Volume of container A = 1693.318 ft³
Approximating to the nearest tenth of cubic ft = 1693.3 ft³
2 Points
Classify the following triangle. Check all that apply.