Answer:
V + F = E + 2
The statement correctly shows the relationship found in Euler's formula is F + V - E = 2.
What is euler's formula?For any real value θ, we have:
[tex]e^{i\theta} = \cos(\theta) + i\sin(\theta)[/tex]
where 'e' is the base of the natural logarithm, and 'i' is iota, the imaginary unit.
We are given that;
Euler's formula states that for any convex polyhedron (a 3-dimensional solid with flat faces and straight edges), the number of faces (F), vertices (V), and edges (E) are related by the formula:
F + V - E = 2
One possible statement that correctly shows the relationship found in Euler's formula is:
"The number of faces, vertices, and edges in a convex polyhedron are related by Euler's formula, which states that F + V - E = 2."
Therefore by euler's formula the answer will be F + V - E = 2.
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The line plot and the bar graph show the same test scores. Where should you look to find the least common test score?
The shortest column of the line plot
The least common test score from the graphs is 70.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A line plot shows the frequency of data, in short it shows how many times something has occurred or the number of times data occurs in a group of data.
The number of data is represented by markers or in this case "x"s. The more x's along the column, the more times it occurred.
The bar graph there does not show the frequency of the different scores. This shows the relationship between the test number and the percentage of the scores obtained. It does not tell you the individual scores obtained.
The least common test score is 70
Hence, the least common test score from the graphs is 70.
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solve for K. I TRIED MANY TIMES TO GET IT RIGHT BUT I STILL GET STUCK WHEN I AM CLOSE TO FINDING THE ANSWER!!!!
m=1/k+n
Use a strategy for the following problem(and I seriously need help!!):
In a sequence of numbers, each number in the sequence is called a term. In the sequence 1, 3, 5, 7, 9, the first term is 1, the second term is 3, the third term is 5, the fourth term is 7 and the fifth term is 9. In another sequence, the first term is 26. If a term in the sequence is even, then the next term will be half the value of that term. If a term in the sequence is odd, then the next term in the sequence is one more than three times that term. By following these rules, the first three terms of this sequence are 26, 13 and 40. Is the twenty-sixth term of the sequence odd or even. Justify your answer.
If c=3k+4 and d=7+9k^2, what is d in terms of c?
Answer:
d = (c -4)² +7 = c² -8c +23
Step-by-step explanation:
Both 'c' and 'd' are expressed in terms of the variable k. In general, that variable is eliminated by writing k in terms of 'c' or 'd', then substituting for k in the other equation.
Eliminating kWe recognize that the 9k² term in the expression for 'd' is the square of the 3k term in the expression for 'c'. That means we don't have to solve for k; we only need to solve for 3k. The equation for 'c' gives an easy way to do that.
c = 3k +4
c -4 = 3k . . . . . . . subtract 4 to get an expression for 3k
Substituting into the equation for 'd', we have ...
d =7 +9k²
d = 7 +(3k)² . . . . . writing 9k² in terms of 3k
d = 7 +(c -4)² . . . . substituting for 3k. This is d in terms of c.
This can be simplified to ...
d = c² -8c +23 . . . . another form of d in terms of c.
To express 'd' in terms of 'c', solve the first equation for 'k' and substitute this value into the second equation. This yields: d=7+((c-4)^2)/3.
Explanation:To express d in terms of c, we first need to make k the subject of c=3k+4. We do this by subtracting 4 from both sides, getting c-4=3k, and then dividing both sides by 3, which gives us k=(c-4)/3. Next, we substitute this value of k into the second equation: d=7+9k^2. Substituting, we get d=7+9*((c-4)/3)^2, which, when simplified, gives the result d=7+((c-4)^2)/3. This is the expression for d in terms of c.
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A triangular prism is 14.3 millimeters long. It has a triangular face with a height of 12 millimeters. The volume of the prism is 1,123.98 cubic millimeters. What is the base of its triangular face?
Answer
13.1 millimeters
Explanation
The volume of any regular object is found by;
Volume = base area × length.
In the question, the base is a triangle of height 12 millimeters and a base length L.
The length of the prism is 14.3 millimeters.
∴ Volume = base area × length.
1,123.98 = (1/2 × 12 × L) × 14.3
1,123.98 = 85.8 L
L = 1,123.98/85.8
= 13.1 millimeters
Find the AREA of this triangle
2x+3(x-4)=8
Solve the equation
Theodore works for Mr. Jones. Mr. Jones agreed to start Theodore at $.01 the first day, $.02 the second day, $.04 the third day, $.08 the fourth day, and so on.
`
a. How much does Theodore earn in fifteen days?
b. Suppose Theodore can start at $10 the first day, $10.75 the second day, $11.50 the third day, $12.25 the fourth day, and so on. Would he earn more in fifteen days than he does in part(a)? Explain.
what is 9.03×10^2 in standard form
The value of the exponent number in standard from is A = 903
What is Exponential Form?The exponential form is an easier way of writing repeated multiplication involving base and exponents. It has a base and a power
The exponential form of a number is a way of representing a number using exponents, where the base is typically a number greater than 1.
It is often used in mathematics and science to represent large or small numbers more efficiently. It can also be used to simplify certain mathematical operations, such as multiplication and division, by using the properties of exponents.
Given data ,
Let the exponential form of the number be A
Now , the value of A = 9.03×10²
To convert 9.03×10² to standard form, we need to multiply the number by the appropriate power of 10 so that it is expressed as a number between 1 and 10.
Starting with 9.03×10² , we can move the decimal point two places to the right to get:
9.03×10^2 = 903
So the standard form of 9.03×10² is simply 903
Hence , the standard form is A = 903
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In one city, 3,546 people attended a concert but in another city, 9,238 people attended the same band's concert. Estimate how many more people attended the concert in the second city by rounding to the nearest hundred and then subtracting.
Approximately 5,700 more people attended the concert in the second city.
To estimate how many more people attended the concert in the second city, we can round the attendance numbers to the nearest hundred and then subtract the smaller number from the larger one. For the first city, 3,546 people rounds off to 3,500 people, and for the second city, 9,238 people rounds off to 9,200 people. Now we subtract the rounded number of the first city from the rounded number of the second city.
So, 9,200 (rounded attendance in the second city) minus 3,500 (rounded attendance in the first city) equals 5,700.
Therefore, approximately 5,700 more people attended the concert in the second city.
There are 20 children at a library. Six of the children have an average age of 5 years. The remaining children have an average age of 8 years. What is the average age of the children at the library? Enter your answer in the box. WILL GIVE BARINLIYEST
Need this answered today also explain the answers please
Julia measured the high temperature in her town for one week. Using the chart below, find the mean absolute deviation for the high temperatures. Round your answer to the nearest tenth. Be sure to show your work for finding:
the mean of the set of data
the distance of each number from the mean
the mean absolute deviation
16x-10y=10
-8x-6y=6
can someone help me understand this question?
the triangle in the diagram are similar. how long will the footbridge be
Enter the values for a and b that complete
the sum:
A-
b-
Answer:
[tex]a=3[/tex] and [tex]b=5[/tex]
Step-by-step explanation:
We have been given an equation [tex]\frac{3}{x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]. We are asked to find the value of 'a' and 'b'.
Let us make a common denominator:
[tex]\frac{3*x}{x*x}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
[tex]\frac{3x}{x^2}+\frac{5}{x^2}=\frac{ax+b}{x^2}[/tex]
Add numerators:
[tex]\frac{3x+5}{x^2}=\frac{ax+b}{x^2}[/tex]
Therefore, [tex]a=3[/tex] and [tex]b=5[/tex] for the given equation.
help please thanks
Which trinomials are perfect square trinomials?
Select each correct answer.
a2+15a+75
a2+26a+169
a2+14a+49
a2+4a+16
Which expressions are differences of squares?
Select each correct answer.
t2−4
h2−20
x2−169
a2+1
A spherical balloon is inflated until its diameter is 24 in. Air is then released from the balloon until its diameter is 18 in. Approximately many cubic inches of air were released from the balloon?
formula: V =4π(r^3)/3 **make sure you use the radius and not the diameter**
Answer:
4182 is ur answer
Step-by-step explanation:
Which of the following statements are equivalent to the statement "price increased by 100%"?
Choose all correct answers.
(A) The price doubled
(B) The price is 150% of the price before
(C) The price was reduced by a quarter
(D) The price became a half of what it was before
(E) The price is now 1.5 of what it was before
(F) The price now is 66 2/3% of what it was before
(G) The price now is 200% of what it was before
(H) The price is 75% of what it was before
Plssss help me!!
Answer:
A G
Step-by-step explanation:
because when the price is doubled that means it increases by 100%
and when the price is 200% of what it was befor means it is also doubled
A box of candy contains 6 lemon, 3 orange, and 4 cherry pieces. If you select a piece of candy at random, what is the probability that you select an orange OR a cherry piece?
Last one give me the best answer
rectangle abcd is similar to rectangle pqrs. given ab=14 cm, BC=8cm and pq=21cm, calculate the length of QR
The length of QR in rectangle PQRS is 12 cm, found by setting up the proportional relationship 14/21 = 8/QR, where 14 cm and 8 cm are the lengths of sides AB and BC of rectangle ABCD, respectively, and 21 cm is the length of side PQ of rectangle PQRS.
Since rectangle ABCD is similar to rectangle PQRS, their corresponding sides are proportional. To find the length of QR, we will set up a proportion using the given lengths:
AB/PQ = BC/QR
Substituting the given lengths:
14/21 = 8/QR
Now, solve for QR:
QR = (21 * 8) / 14
QR = 168 / 14
QR = 12 cm
So, the length of QR in rectangle PQRS is 12 cm.
help help help!!!ill return
A student solved this problem by working backward. Janice went shopping with her mom and at the end of the day she had $59.50 left over. She spent $13.65 on a T-shirt, $22.99 on some new sandals, and $40.75 on a new skirt. How much money did Janice have at the beginning? Student's solution - Janice had $59.50 left. Add up all the amounts she spent ($13.65 + $22.99 + $40.75) and add to the amount she has left over ($77.39 + $59.50). So Janice had $136.89 to begin with. Solve this problem. Dale was fixing his fence. At the end of the day, he had 12.5 feet of wood left over. During the day he had used one 3.5 foot long piece of wood, two 5.9 foot long pieces of wood, and one 10 foot long piece of wood. How many feet of wood did Dale have at the beginning of the day? feet
I NEED HELP ASAP!
A metal rod is
7/8
meters long. It will be cut into pieces that are each
1/56
meters long. How many pieces will be made from the rod?
Write your answer in simplest form.
I need the answer for B! whoever answers first will get a brainliest, a thanks, and 50 points! also plz tell me how you got the answer
mario earns money mowing his neighbors lawns the revenue for mowing x lawns is r(x)=25x marios cost for gas and the mower rental is c(x)=6x+15 his profit from mowing x lawns is p(x)=(r-c)(x) what is p(x)
Answer:
p(x) = 19+15
Step-by-step explanation:
find the diameter of a circle with an area of 226.98
PLZ HELP, GRAPH IT THEN FOR BRAINLIEST
graph the quadratic function f(x)=x^2−12x+27.
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
The following points for a function are graphed in the coordinate plane: (0,4), (1,5), (2,6), and (3,7). What function is being graphed?
a. y=x
b. y=2x+3
c. y=x+4
d. 3x+4
Answer:
c
Step-by-step explanation:
The correct function is,
⇒ y = x + 4
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
We have to given that;
The following points for a function are graphed in the coordinate plane: (0, 4), (1, 5), (2, 6), and (3, 7).
Now, We know that;
All the points are satisfy the function.
Hence, By options c;
y = x + 4
Put x = 0, y = 4
y = x + 4
4 = 0 + 4
4 = 4
Hence, The correct function is,
⇒ y = x + 4
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EMERGENCY PLEASE HELP REALLY HARD!
The first and fourth terms of a geometric sequence are shown.
−2,___ , ___, 128
What are the second and third terms of this geometric sequence?