Using Euler's Formula, the number of faces is given by: 8.
What does Euler's Formula states?It states that the number of vertices, edges and faces is related by the following equation:
V - E + F = 2.
In this problem, the parameters are given as follows:
E = 15, V = 9.
Hence the number of faces is given by:
V - E + F = 2.
9 - 15 + F = 2
F - 6 = 2
F = 8.
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2g + h =2
g -h= -5
find g and h step by step explanation
Answer:
Step-by-step explanation:
2g + h = 2 --------------(I)
g - h = -5------------(II)
g = -5 + h
Plugin g = -5 + h in equation (I)
2(-5 + h) + h = 2 {Distributive property:a(b+c) = a*b +a*c}
(-5)*2 + h *2 + h= 2
-10 + 2h + h = 2
3h = 2 + 10
3h = 12
h = 12/3
h = 4
Substitute h= 6 in equation (I)
2g + 4 = 2
2g = 2 - 4
2g = -2
g = -2/2
g = -1
In 1999, Candace had 47 CDs in her music collection. In 2002, she had 134 CDs. Find the rate of
change in the number of CDs in Candace's collection between 1999 and 2002.
Answer: I believe it should be 29. Don't trust my answers though.
Explanation: 134 - 47 equals 87. Three years passed between 1999 and 2002, so I divide 87 by 3 and I got the answer 29.
PLEASE HELP! The height of a bottle rocket, in meters, is given by \(h(t) = -3t^{2} +36t+300, where t is measured in seconds. Compute the average velocity of the bottle rocket over the time interval t = 3 to t = 6.
Answer:
63 m/s
Step-by-step explanation:
h(3) = 3(3)² + 36(3) + 300 = 435
h(6) = 3(6)² + 36(6) + 300 = 624
v = Δh/Δt = (624m - 435m) / (6s - 3s) = 63 m/s
What percent of 2 is 32? If necessary, round your answer to the nearest tenth.
Answer:
Below
Step-by-step explanation:
32/2 x 100% = 1600 %
2. The weight of a paper clip is about 0.0009 grams . Write this number in Scientific notation *(2 points)O A. 9 x 10-3B. 9 x 104C. 9 x 10-4D. 9 x 104
Note that we can "get rid of" the point (in 0.0009) if we move it four spaces (numbers) to the right. These four spaces amount to the exponent in the Scientific notation. For we're moving to the right, the exponent must be negative. The answer is
\(9\times10^{-4}\)C.
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010.
Complete question :
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
Answer:
$265,720
Step-by-step explanation:
Given that:
State gasoline tax = $0.26 per gallon
Average number of gasoline sold per day = 1,022,000 gallons
. From the availabke information given :
Revenue generated = gasoline tax per gallon multiplied by the average number of gallons sold
= $0.26 * 1,022,000
= $265,720
The average revenue from gasoline tax in 2010 is $265,720.
Calculation of the average revenue:Since the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day
So, here the average revenue should be
= 0.26 of 1,022,000
= $265,720
hence, The average revenue from gasoline tax in 2010 is $265,720.
This is an incomplete question. Please find the complete details below.
Each state imposes its own excise tax on gasoline. Suppose, for example, that the state of Massachusetts imposes a state gasoline tax of $0.26 per gallon. Suppose further that an average of 1,022,000 gallons of gasoline per day were sold in Massachusetts in 2010. The average revenue from gasoline tax in 2010 is approximately?
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Drew wants to buy sports equipment that costs $140. The sales tax is 8%. What is the total cost of the equipment with the tax?
Answer: $151.20
Step-by-step explanation: 8 percent of 140. Add this number to 140.
\(\frac{x}{140} = \frac{8}{100}\)
100x=112
x=11.2
Help me please i have be very grateful
Answer:
8,20,24
Step-by-step explanation:
these numbers they make 52
(a) What is the name of shape ABCDE?
b) Measure the length of line AE.answer in cm
The name of shape ABCDE is regular pentagon and the length of line AE is 5 cm
How to name the shapeThe complete question is added as an attachment
From the question, we can see that
The shape ABCDE has 5 equal sides
This means that ABCDE is a regular pentagon
How to determine the length of line AEIn (a), we have
5 equal sides
Given that
BC = 5 cm
We have
AE = 5 cm
Hence, the length is 5 cm
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Anne is building bookcases that are 3.1 feet long. How many complete shelves can be cut from a 12-foot board?
Answer: 3 shelves
Step-by-step explanation:
12 ÷ 3.1 = 3.87…
Since this is more than 3 but less than 4, we can build 3 full shelves with a leftover.
Solve them please give Brainly
Answer:
1) x = 0, 2) u = 5, 3) h = - 7, 4) n = 2, 5) x = 8, 6) r = 7--------------------------------------
Solve given equationsSteps should be self-explanatory. Happy to explain if anything is not clear.
Question 14x + 7 = 74x = 7 - 74x = 0x = 0Question 23(u + 4) = 27u + 4 = 27/3u + 4 = 9y = 9 - 4u = 5Question 3- 20 = 10(h + 5)-20/10 = h + 5- 2 = h + 5h = - 2 - 5h = - 7Question 4- 10 = (n - 52) / 5- 10*5 = n - 52- 50 = n - 52n = - 50 + 52n = 2Question 548/x - 3 = 348/x = 3 + 348/x = 6x = 48/6x = 8Question 68r = 2r + 428r - 2r = 426r = 42r = 42/6r = 7Answer:
v = 0u = 5h = -7 n = 2 x = 8 r = 7Step-by-step explanation:
1) 4v + 7 = 7, for v?
→ 4v + 7 = 7
→ 4v = 7 - 7
→ v = 0/4
→ [ v = 0 ]
2) 3(u + 4) = 27, for u?
→ 3(u + 4) = 27
→ 3u + 12 = 27
→ 3u = 27 - 12
→ u = 15/3
→ [ u = 5 ]
3) -20 = 10(h + 5), for h?
→ -20 = 10(h + 5)
→ 10h + 50 = -20
→ 10h = -20 - 50
→ h = -70/10
→ [ h = -7 ]
4) -10 = (n - 52)/5, for n?
→ -10 = (n - 52)/5
→ n - 52 = -10 × 5
→ n = -50 + 52
→ [ n = 2 ]
5) (48/x) - 3 = 3, for x?
→ (48/x) - 3 = 3
→ 48/x = 3 + 3
→ 6x = 48
→ x = 48/6
→ [ x = 8 ]
6) 8r = 2r + 42, for r?
→ 8r = 2r + 42
→ 8r - 2r = 42
→ r = 42/6
→ [ r = 7 ]
These are required values.
PLEASE HELP MEE‼️‼️
Tell me which each 3 boxes should I pick for each one of them PLEASE READ them I beg (proportional relationships)
number one take the second
PLEASE HELP URGENT- I NEED AN EXPLANATION TO EQCH PROBLEM
Answer:
10cm, 8cm and 6cm
Explanation
For the sides given to be a right triangle, the square of the largest side must be equal to the sum of the square of the other two sides
Given
Looking at option C
Largest side = 10cm
Square of the largest side = 10^2 = 100cm
For the other two sides, sum of their squares is expressed;
= 6^2 + 8^2
= 36 + 64
= 100cm
Since the square of the largest side is the same as the sum of the square of other two sides, hence the sides 10cm, 8cm and 6cm forms a right angle
solve the system of equations using elimination
15q - 4r = 62
5q + 8r = 86
Answer:
q=6 r=7
Step-by-step explanation:
2(15q-4r=62)
30q-8r=124
5q + 8r = 86
35q=210
q=6
5(6)+8r=86
30+8r=86
8r=56
r=7
Which statement below best describes a function? 1. A function is a relationship where each output has the exactly one input. 2. A function is a relationship where each input has exactly one output. 3.A function is a relationship where each input has the same output. 4.A function is a relationship where each input has different outputs.
Answer
2.A function is a relationship where each input is exactly one output
Tell me if im wrong pls
Write the complex number in rectangular form. If necessary, round to the nearest tenth.
24( cos 275° + i sin 275°)
Answer:
Step-by-step explanation:
We first have to find cos 275 and sin 275 and then put them into the formula:
cos 275 = .0872
sin 275 = -.9962
Therefore,
24(.0872 - .9962i) distributes to
2.1 - 23.9i
Plz help (x+10)(x+3) expand and simplify
Evaluate : -35 ÷ (-7) =
Answer:
-35/-7=5
Step-by-step explanation:
Diviser par de nombre négatif alors sa devient positif pareil pour la multiplication
NEED HELP ASAP! Translate into symbols
1. Fifteen more than a number
2. Decreased the quotient of forty eight and 6 by two is six
Answer:
x-6+6(6+6+6)X I am a pro boiiiiii
Can anybody help me it’s due right now at 2:00pm please will mark the brainiest please
On a test that has a normal distribution, a score of 29 falls three standard deviations above the mean, and a score of 23 falls one standard deviation above the mean. Determine the mean of this test.
The mean of the test is 20.
To determine the mean of the test, we need to use the information provided about the scores falling above the mean in terms of standard deviations.
Let's denote the mean of the test as μ, and the standard deviation as σ.
We are given that a score of 29 falls three standard deviations above the mean, so we can write this as:
29 = μ + 3σ
Similarly, we are told that a score of 23 falls one standard deviation above the mean, which can be expressed as:
23 = μ + σ
Now we have a system of two equations with two variables (μ and σ). We can solve this system of equations to find the values of μ and σ.
From the second equation, we can isolate μ:
μ = 23 - σ
Substituting this value into the first equation, we have:
29 = (23 - σ) + 3σ
Simplifying the equation, we get:
29 = 23 + 2σ
2σ = 29 - 23
2σ = 6
σ = 3
Substituting the value of σ back into the second equation, we find:
μ = 23 - 3
μ = 20
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Help me with this please
Answer:
Your answer will be B. A town's population grows at a rate of 7.2% every year.
Step-by-step explanation:
Pls give me brainliest thx
Which method below is not a method of solving a system of linear equations?
Group of answer choices
Differentiation
Graphing
Elimination
Substitution
Answer:
Differentiation
Step-by-step explanation:
Differentiation is used in only differential equations, finding limits and curve sketching.
\(.\)
noel has $60.00 in a savings account that earns 5% interest compounded annually. what will the balance be after 3 years
この問題を最も簡単に解決する. 不適切な回答はありません.
japones ^^
look you have to multiply
8 cm x 6cm
20cm x 6 cm
and the answer that comes out of the multiplication is the correct one
WEEK 2 Direction: Answer the following problems. 1. Jun wanted to know how much ice cream he got in on scoop. The radius of a scoop is 2 inches. Find the volum Use 3.14 for pi. (SHOW YOUR SOLUTION) a) What is asked in the problem? b) What are the given facts? c) What is the formula to be used? d) Number Sentence e) Final answer. (show your solution pls)
We are given the radius of the scoop and asked to find the volume of ice cream in one scoop. By using the formula for the volume of a sphere and substituting the given radius, we can calculate the volume. The final answer is approximately 33.49 cubic inches.
a) The problem asks for the volume of ice cream in one scoop.
b) The given fact is that the radius of the scoop is 2 inches.
c) The formula to be used is the volume of a sphere, which is given by V = (4/3)πr³, where V is the volume and r is the radius.
d) Number Sentence:
- Given: Radius (r) = 2 inches
- Formula: V = (4/3)πr³
- Substituting the value: V = (4/3)π(2)³
- Simplifying: V = (4/3)π(8)
- Evaluating: V = (4/3)(3.14)(8)
- Multiplying: V = 33.49333333 (approx.)
e) Final answer: The volume of ice cream in one scoop is approximately 33.49 cubic inches.
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which mixed number is equivalent to the improper fraction of 41/10
Answer:
4 1/10 when u have a inproper fraction like that every 10 is one whole number
Which expression can be used to solve the problem below? What is 1/4 of the product of 12 and 3?
Answer:
12/4=3and3/4is 1/4 of the product of 12
and 3.
A worm is at the bottom of a ravine. Every day it climbs up 5 feet, but every night while it is sleeping, it falls back 3 feet. a) How long will it take the worm to crawl up the ravine if it is 20 ft high? b) What if the ravine is 97 feet high?
Answer:
a) 9 days
b) 47 days
Step-by-step explanation:
Given information:
Distance worm climbs each day = 5 ftDistance worm falls back each night = 3 ftPart (a)\(\begin{array}{|c|r|c|r|}\cline{1-4} \sf Day & \sf Height\:{(ft) & \sf Night & \sf Height\:(ft) \\\cline{1-4} 1 & 5 & 1 & 5 - 3 = 2\\\cline{1-4} 2 & 2 + 5 = 7 & 2 & 7 - 3 = 4 \\\cline{1-4} 3 & 4 + 5 = 9 & 3 & 9 - 3 = 6 \\\cline{1-4} 4 & 6 + 5 = 11 & 4 & 11 - 3 = 8 \\\cline{1-4} 5 & 8 + 5 = 13 & 5 & 13 - 3 = 10 \\\cline{1-4} 6 & 10 + 5 = 15 & 6 & 15-3=12\\\cline{1-4} 7 & 12 + 5 = 17 & 7 & 17 - 3 = 14 \\\cline{1-4} 8 & 14 + 5 = 19 & 8 & 19-3=16\\\cline{1-4} 9 & 16 + 5 = 21 &&\\\cline{1-4}\end{array}\)
On the first day the worm climbs 5 ft, but slips back 3 ft during the first night.
On the second day the worm climbs a further 5 ft, so is now at 7 ft, but slips back 3 ft during the second night. Therefore, it starts the third day at a height of 4 ft.
The progression continues this way so that the worm starts the 9th day at a height of 16 ft. As it climbs 5 feet during the day, it will reach the height of 20 ft during the 9th day, and so will climb out of the ravine before it sleeps for the night.
Therefore, it will take 9 days for the worm to crawl up a 20 ft ravine.
This can be modeled as an arithmetic sequence:
\(y=a+(x-1)d\)
where:
y = height of ravinex = number of daysa = initial height after the first dayd = common difference = 2Therefore:
\(\implies y=5+(x-1)2\)
\(\implies y=5+2x-2\)
\(\implies y=3+2x\)
Part (b)To calculate how long it will take the worm to crawl up the ravine if it is 97 ft high, substitute y = 97 into the equation and solve for x:
\(\implies 3+2x=97\)
\(\implies 3+2x-3=97-3\)
\(\implies2x=94\)
\(\implies \dfrac{2x}{2}=\dfrac{94}{2}\)
\(\implies x=47\)
Therefore, it will take 47 days for the worm to crawl up a 97 ft ravine.
If anyone can answer these 4 questions it would be greatly appreciated beyond words can describe
Answer:
answer your own
brainliest me now