Answer:
$4000
Step-by-step explanation:
the cars value is going sown by 2000 dollars each year so in seven years the car will be worth 4000 dollars
Note: I'm not completely positive on this.
Answer:
The value of car B after 1.5 years is approximately $
19,600
.
The value of car B is approximately $13,000 after
4
years.
The value of car B will be more than $18,000 if it were sold within
2
year(s).
The value of car B is $12,000 between years 4 and
5
.
Step-by-step explanation:
A concrete planter is formed from a square-based pyramid that was inverted and placed inside a cube.
A. What is the slant height of the pyramid?
B. What is the surface area of the composite figure?
C. How many cubic yards of concrete are needed to make the planter?
Answer:
Notice that each edge of the cube is 2 yards long, and the height of the pyramid is 2 yards long too.
The slant height refers to the height of a triangle on its face, which forms a right triangle with the height of the pyramid and half side. Using Pythagorean's Theorem, we have
[tex]s^{2}=1^{2} +2^{2}\\ s=\sqrt{5}[/tex]
Therefore, the slant height is the square root of 5, in yards units. (A)
The surface of the composite figure is the sum of the surface area of both volumes.
[tex]S_{composite}=S_{cube} +S_{pyramid}\\ S_{composite}=5(2)^{2} +(2)^{2} +\frac{1}{2} (8)(\sqrt{5} )=20+4+4\sqrt{5} \\ S_{composite}\approx 32.9 yd^{2}[/tex]
Therefore, the surface of the composite figure is 32.9 square yards. (B)
The concrete needed will fill the empty space between the cube and the pyramid, so we have to find the difference between their volumes.
[tex]V_{concrete}=V_{cube} -V_{pyramid}=2^{3}-\frac{1}{3}(2)^{2} (2)=8-\frac{8}{3} \\V_{concrete} \approx 5.33 yd^{3}[/tex]
Therefore, we need 5.33 cubic yards of concrete to make the planter. (C)
Answer:
A. 2.24 yd
B. 53.67 yd²
C. 5.33 yd³
Step-by-step explanation:
Here we have;
Height of the pyramid = 2 yd
Side length of pyramid base = 2 yd
Therefore, the slant height forms a right triangle with the height of the pyramid and half the base hence;
(Slant height)² = (2·yd)² + (2·yd/2)² = 4·(yd)² + (yd)² = 5·(yd)²
∴ Slant height = √5 yards = 2.24 yd
B. The surface area of the cube with one side open is found as follows;
Surface area of container cube = 5 × (2·yd)² = 20 yards²
The surface area of the pyramid = Base area + 1/2 perimeter of base × Slant height
Since the base is open, we have;
The surface area of the pyramid = 1/2 perimeter of base × Slant height
= 1/2 × (4 × (2·yd))×yd·√5 = 4·yd×yd·√5 = 4·√5·(yd)²
Hence total surface area of the planter = Surface area of container cube + surface area of the pyramid
total surface area of the planter = 20·yd² + 4·√5 yd² = 24·√5 yards²
C. The volume of concrete needed to make the planter is the volume of the cube concrete container less the volume of the inverted pyramid
Volume of the cube = 2 × 2 × 2 = 8 yd³
Volume of the inverted pyramid = 1/3 × Base area × Height
Volume of the inverted pyramid = 1/3 × 2 × 2 × 2 = 8/3 yd³
Therefore, volume of the concrete needed = 8 yd³ - 8/3 yd³ = 16/3 yd³ = 5.33 yd³.
The graph of a polynomial is shown below. Is its highest power even or odd? Explain.
Answer:
Step-by-step explanation:
the graph is at the highest power at the top left corner because the graph shape has a even or odd chance so that is the answer
It's highest power is odd
What is graph of polynomial ?
The graph of a polynomial function will touch the x-axis at zeros with even multiplicities. The graph will cross the x-axis at zeros with odd multiplicities. The sum of the multiplicities is the degree of the polynomial function.
According to the question,
Graph of polynomial is shown in given graph,
(1) at point A graph passes linearly
(2) At point b, graph passes x-axis cubically
(3) At point c, Graph passes x-axis linearly
Hence, polynomial having degree 5
Hence, it's highest power is odd
To learn more about graph of polynomial from here
https://brainly.in/question/17060226
#SPJ2
8. A teacher is cutting along the diagonal of a rectangular piece of construction
paper for a bulletin board which is 11 inches long and 8.5 inches wide. What
will be the length of the cut?
Answer:
The length of the diagonal is 13.90 inches
Step-by-step explanation:
This question can be remolded as calculating the length of the diagonal of a rectangle with dimensions 11 inches by 8.5 inches.
The diagonal refers to that length that runs from one inner edge of the rectangle to the other inner edge of the rectangle.
To calculate this length, we shall be making use of the Pythagoras’ theorem
Please check attachment for the kind of figure i’m trying to paint.
Let’s call the diagonal D
Using the Pythagoras’ theorem,
D^2 = 11^2 + 8.5^2
D^2 = 121 + 72.25
D^2 = 193.25
D = √193.25
D = 13.90 inches
Esme plans to flip a fair coin 3 times and record the results of each flip.
What is the probability that the coin lands with the heads side up on all 3 flips?
Enter your answer as a reduced fraction, using the / symbol, like this: 42/53
Answer:
ttt
htt
tht
tth
hht
thh
hth
hhh
these are the possible outcomes of the three outcomes
so probability of hhh = 1/8
The probability that the coin lands with the heads side up on all 3 flips will be 1/8.
What is probability?Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,
P = (Favorable event) / (Total event)
Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:
P = (1/2) x (1/2) x (1/2)
P = 1/8
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Keith is using 12 brown and 8 white tiles to design a section of an outdoor patio for his home. Which ratio compares the number of brown tiles to total number of tiles in the section?
Answer:
8 : 20
Step-by-step explanation:
This would be 8 : 20 because all together their are 20 tiles and it is only asking for the brown tiles. So you add (the brown tiles) : (overall amount)
What is the volume of a cylinder in cubic feet with a height of 8 feet and a base diameter of 18 feet
Answer:
The volume of a cylinder:
[tex]V \approx 2035.75[/tex] [tex]ft^3[/tex]
Step-by-step explanation:
-To find the volume of a cylinder, you first need the formula:
[tex]V = \pi (\frac{d}{2})^2 h[/tex]
[tex]d =[/tex] diameter
[tex]h =[/tex] height
-Use the following diameter and height for the formula:
[tex]V = \pi (\frac{18}{2})^2 8[/tex]
-Then, you solve:
[tex]V = \pi (\frac{18}{2})^2 8[/tex]
[tex]V = \pi \times (\frac{18}{2})^2 \times 8[/tex]
[tex]V = \pi \times (9)^2 \times 8[/tex]
[tex]V = \pi \times 81 \times 8[/tex]
[tex]V = \pi \times 648[/tex]
[tex]V = 648\pi \approx 2035.752[/tex]
-Since the hundredth place is 2, It cannot be rounded to the nearest hundredths place, so it would be:
[tex]V \approx 2035.75[/tex] [tex]ft^3[/tex]
helppppppppppppppppp
Answer:
3/4 of an inch
Step-by-step explanation:
The longest plant is 7/8 of an inch
The shortest plant is 1/8 of an inch
7/8 - 1/8 = 6/8
Simplifying = 3/4
A spinner has 5 equal sections numbered 1 to 5. What is the probability of the spinner stopping on a number that is a multiple of 2 or is less than 3?
help!!!!!!!!!plz.....
Answer: 1/5, .2, and or 20%
Step-by-step explanation:
The only multiple of 2 that is less than 3 and greater than 1 is 2, so there is a 1/5, .2 and or 20% chance of this happening
Twelve-year-olds have heights that are normally distributed with a mean of heights of 57 inches and a standard deviation of 4.6 inches. what percent of 12-year-old boys will have heights less than 55 inches?
A) 33%
B) 37%
C) 42%
D) 49%
Answer:
A
Step-by-step explanation:
To calculate this, the first thing we need to do is to calculate the z-score
Mathematically,
z-score =( x - mean )/SD
according to the question, X = 55 inches, mean = 57 inches and SD = 4.6 inches
we plug these values into the equation
z-score =( 55-57)/4.6 = -2/4.6 = -0.4348
The required probability we are trying to calculate is;
P( z < -0.4348) or simply P(x<55)
To calculate this probability we use the standard score table
From the standard score table,
P( z < -0.4348) = 0.33186
In percentage this is 33.186%
To the nearest percentage, this is 33%
List some ways that modern cities in developed countries have improved sanitation conditions over the last 200 years.
Answer:
They can build pipes for clean water, and building toilets can also help get rid of unhygienic.... You know Also, hygiene education would help too.
Hope that helped ya, vote, thanks, and brainliest. Have an great day! :D
Some improvements that large cities have made to improve health are: Water purification, Sewage channeling, and Recycling, reuse, and waste reduction
Sanitation is a term to refer to:
A set of actions focused on improving public healthPromotes environmental healthIncludes activities such as the sanitary management of drinking water, wastewater, and discharges, solid waste, organic, among othersIncludes actions related to sanitation to reduce health risks and prevent contaminationDuring the last 200 years, there have been many actions to improve sanitation conditions in large cities such as:
Improvement of the hospital and health post systemImprovement of the sewerage networkWater purificationSewage channelingRecycling, reuse, and waste reductionPest controlThese actions have allowed the health of the cities to improve and the life expectancy of people to be much higher. This also contributes to a cleaner, more livable, and less polluted city.
Learn more in: https://brainly.com/question/4296165
In an all boys school, the heights of the student body are normally distributed with a mean of 69 inches and a standard deviation of 3 inches. Using the empirical rule, determine the interval of heights that represents the middle 95% of male heights from this school.
Answer:
Two intervals are 63 and 75
Step-by-step explanation:
Given:
Mean of students (μ) = 69 inches
Standard deviation (σ) = 3 inches μ
Find:
Interval of heights (95%) using empirical rule
Computation:
Interval of heights (95%) using empirical rule:
⇒ μ – 2σ = 69 - 2(3)
⇒ μ – 2σ = 69 - 6
⇒ μ – 2σ = 63
⇒ μ + 2σ = 69 + 2 (3)
⇒ μ + 2σ = 69 + 6
⇒ μ + 2σ = 75
Two intervals are 63 and 75
Answer: 65.5, 72.5
Step-by-step explanation:
If nominal GDP is 2400 and the money supply is 400, what is the velocity?
Answer:
The velocity of money is 6.
Step-by-step explanation:
Nominal Gross Domestic Product is the Gross Domestic Product that has been determined by the current prices of goods and services in a market.
Money velocity expresses the rate at which money moves from one entity to another in a given economy. It it the ratio of the nominal Gross Domestic Product to the money supply in an economy.
i.e V = [tex]\frac{P * Y}{M}[/tex]
where: V is the velocity of money, P x Y is the nominal GDP i.e price level x output/real GDP, and M is the money supply. High velocity of money causes an increase in inflation.
Given that, nominal GDP = 2400 and money supply = 400, then;
V = [tex]\frac{2400}{400}[/tex]
= 6
Therefore the velocity of money is 6.
On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven?
A. x + 15
B. x – 5
C. x + 5
D. x – 15
Answer:
C
Step-by-step explanation:
(4x-5) - (3x-10) = ?
(4x-5) - 1 (3x-10) = ? DISTRIBUTE THE INVISIBLE -1 to (3x-10)
Turns into: 4x - 5 - 3x + 10
Which equals: x + 5
Answer:
c
Step-by-step explanation:
PLZ HELLPPP
Triangular prism Base – height of 8 feet and base of 18 feet Height – 30 feet Rectangular prism Base – length of 30 feet and width of 18 feet Height – 15 feet How many cubic feet of space are in the house? ft3
Answer:10,260
Step-by-step explanation:I took the test
Answer:
60
Step-by-step explanation:
What is the volume of this sphere?
Use ≈ 3.14 and round your answer to the nearest hundredth.
with a diameter of 10m
Answer:
523.59 or 523.60
Step-by-step explanation:
Volume for a sphere: 4/3πr^3 (4÷3x π x r ^ 3)
(r is radius, V is volume)
V= 4/3 x π x r^3
The diameter is 10, so the radius is 5...
V= 4/3 x π x 5^3
V= 4/3 x π x 125
CALCULATER: 4 ÷ 3 x π x 125
Answer 523.59 (523.60 rounded)
The length of a rectangle is 5 m less than twice the width, and the area of the rectangle is 52m ^ 2 . Find the dimensions of the rectangle.
The dimension of the rectangle is 8m by 6.5m respectively
Area of a rectangleThe formula for calculating the area of a rectangle is expressed as;
A =lw
If the length of a rectangle is 5 m less than twice the width, then;
l = 2w - 5
Substitute
A = w(2w-5)
52 = 2w² - 5w
2w² - 5w = 52
2w² - 5w - 52 = 0
(2w−13)(w+4)=0
Step 2: Set factors equal to 0.
2w−13=0 or w+4=0
w =13/2 or 6.5m
Determine the length
l = 2w - 5
l = 2(6.5) - 5
l = 13 - 5
l =8m
Hence the dimension of the rectangle is 8m by 6.5m respectively
learn more on area of rectangle here: https://brainly.com/question/25292087
#SPJ1
Round your answers to one decimal place, if necessary.
Find the mean and median of these data: 3, 4, 12, 14, 17, 19.
The mean is
The median is 14
Answer:
The mean is 11.5
Step-by-step explanation:
When looking for the mean you add all the given numbers then divide based on the amount of numbers.
3+4+12+14+17+19=69
69/6=11.5
If this helps please mark me as the brainliest
Help!!! Please????????
Answer:
idk
Step-by-step explanation:
i dont know
Use the Rate-Factor Model for multiplication. The rate is 320 feet per hour, 320 feethour . The hiking team descended the mountain from 1 pm to 5 pm. The net change is a __________________ of _________________feet.
increase, 320 feet
decrease, 320 feet
increase, 1,280 feet
decrease, 1,280 feet
Answer:
The net change is a decrease of 1,280 feet
Step-by-step explanation:
From the question, we understand that the hiking team has a work rate of 320 feet / hour
Now that are descending between the hours 1pm and 5pm, this means that they descended for a total of 4 hours.
Now the total number of feet they have descended will be the number of hours * work rate = 4 hours * 320 feet/hour = 1,280 feet
Thus, the net change is decrease of 1,280 feet
Which number has the least value?
Answer:
Your annswer is b
Step-by-step explanation: because it is least than all of the others
The number that has the least value is given as -13.142.
What are arithmetic operations?The arithmetic operations are the fundamentals of all mathematical operations. The example of these operators are addition, subtraction, multiplication and division.
The number given in the options are |-10.869|, -14⁶/₇, 9.21 and |-10.25|.
Write all the numbers in one equivalent form as below,
⇒ |-10.869| = 10.869
⇒ -14⁶/₇ = -14 + 6/7 = -13.142
⇒ 9.21
⇒ |-10.25| = 10.25
It is clear from the equivalent form that the least value is -13.142.
Hence, the the least value number is obtained as -13.142.
To know more about arithmetic operation click on,
https://brainly.com/question/25834626
#SPJ2
Cleo sold lemonade at her lemonade stand. On Saturday, she sold 6 pitchers of lemonade. On Sunday, she sold as much lemonade as on Saturday. How many pitchers of lemonade did Cleo sell on Sunday?
Answer:
12 pitchers
Step-by-step explanation:
Saturday, 6 pitchers
Sunday, same number of pitchers with Saturday, = 6 pitchers
Total pitchers = 6 + 6 = 12 pitchers
Answer:
Cleo sold 6 pitchers of lemonade on Sunday.
Step-by-step explanation:
Cleo sold lemonade at her lemonade stand.
She sold 6 pitchers on Saturday.
On Sunday, she sold as many pitchers as Saturday.
This implies that she sold 6 pitchers too.
She sold 6 pitchers on Saturday, and 6 pitchers on Sunday.
Para eleição do grêmio estudantil existem 5 cargos. Presidente, vice presidente, diretor, vice diretor e tesoureiro. A chapa ganhadora tem 5 pessoas: Alessandra, Bárbara, Carla, Denise e Elvira. De quantas maneiras diferentes as cinco pode ocupar os cargos do grêmio estudantil? *
Answer:
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Step-by-step explanation:
We want to arrange n people in n positions.
Since the number of objects(in this case, the people) is the same as the number of positions(in this case, the roles), we use the arrangments formula.
Arrangments formula:
The total number of possible arrangents of n elements is:
[tex]A_{n} = n![/tex]
In this question:
5 students, so
[tex]A_{5} = 5! = 120[/tex]
There are 120 ways for their roles to be divided.
120 maneiras diferentes em que as cinco podem ocupar os cargos do grêmio estudantil.
Find the common difference of the arithmetic sequence 13,10,7
Answer:
-3 I think
Step-by-step explanation:
well 10-7=3 and 13-10=3
but since it is greater number first it would make it a -3
Match each equation with its graph
Answer:
A--> D
B-->A
C--> C
D-->B
7h=-(2h-18)7h=−(2h−18) Solve for h
Answer:
h=2
Step-by-step explanation:
7h=−(2h−18)
Distribute the minus sign
7h = -2h +18
Add 2h to each side
7h +2h = -2h+2h +18
9h = 18
Divide each side by 9
9h/9 =18/9
h =2
Answer:
h = 2
I got it right on Kahn Academy
Matthew invested $5,800 in an account paying an interest rate of 4.9% compounded continuously. Assuming no deposits or withdrawals are made, how much money, to the nearest cent, would be in the account after 7 years?
Answer:
A≈8173.18
Step-by-step explanation:
A 12 sided solid has faces numbered 1 through 12. The probability of rolling a number greater than 5
Answer: 7/12
Step-by-step explanation:
From numbers 1 - 12, there are seven numbers greater than 5 so they probability of rolling a number greater than 5 is 7/ 12
Rewrite (2 + 6)5 using the Distributive Property.
Answer:
5 * 2 + 6 * 5
Step-by-step explanation:
Distributive Property.
Claire bought a pair of jeans that regularly cost $50 on sale for $40. What was the percent decrease in price?
The answer is 20%
If 50 is your 100%, take 100 and 90 for example it would be obvious that is it 10% off, so with 50 since it is half of 100 you double the 10% which will be 20%. :)
Answer:
-20% decrease
Step-by-step explanation:
40-50=-10
-10/50=-0.2
-0.2*100=-20%
Hope this helps.
In ΔNOP, the measure of ∠P=90°, NP = 12, PO = 35, and ON = 37. What ratio represents the cosine of ∠O?
Answer:
35/37
Step-by-step explanation:
In this question, we are to calculate the ratio that represents the cosine of angle O
Firstly, please check attachment for diagram of the triangle.
Mathematically, the trigonometric term Cos means the ratio of the length of the adjacent to that of the hypotenuse
The hypotenuse is the longest length which is 37 which represents the length ON
The side adjacent to angle O is the side OP which is 35
Thus, the ratio representing the cosine of angle O is 35/37
Answer:
8/15
Step-by-step explanation:
this is another answer, if you get these numbers
