Answer:
Step-by-step explanation:
Euler's formula is
V - E + F = 2
Givens
V = 15
E = 15
F = ?
Solution
15 - 15 + F = 2
F = 2
I'm not sure this makes sense, but it is what the formula gives you.
The student can calculate the number of edges in a polyhedron by using Euler's formula for polyhedra. Given the number of faces and vertices, both being 15, we solve for edges and find that the polyhedron would have 28 edges.
Explanation:The student wants to calculate the missing number of edges in a geometrical shape given the number of faces and vertices. This can be solved in mathematics using Euler's formula for polyhedra which is Faces + Vertices - Edges = 2. In the current situation, where the shape has 15 faces and 15 vertices, you can solve for edges. Inserting these values into Euler's equation yields: 15 (faces) + 15 (vertices) - Edges = 2. As a result, Edges = 15 + 15 - 2 = 28 edges.
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cuanto es 0÷0 necesito ayuda por favor
Answer:
Null (not defined)
Step-by-step explanation:
We cannot divide by 0; division by zero (0) is undefined. If you take calculus later on, you'll "take limits" and will occasionally end up at 0/0. Sometimes it's possible to find a numerical value; more often, it's not.
No podemos dividir por 0; La división por cero (0) no está definida. Si toma el cálculo más adelante, "tomará límites" y en ocasiones terminará en 0/0. A veces es posible encontrar un valor numérico; más a menudo, no lo es.
The sporting equipment has been sorted into baseballs and bats. The number of baseballs is four less than three times the number of bats. The equipment is 80% baseballs. Choose the equation that best represents this scenario
Answer: Second Option
[tex]\frac{x}{3x-4} = \frac{20}{80}[/tex]
Step-by-step explanation:
The baseball team is composed of bats and balls.
Call x the number of bats and call z the number of balls.
Then we know that:
The number of baseballs is four less than three times the number of bats.
This is:
[tex]z = 3x-4[/tex] (I)
Then we know that the team is 80% baseballs
This is:
[tex]\frac{x}{z} = \frac{0.2}{0.8}[/tex] (II)
We substitute the first equation in the second and we have:
[tex]\frac{x}{3x-4} = \frac{0.2}{0.8}\\\\\frac{x}{3x-4} = \frac{20}{80}[/tex]
Answer:
x/(3x-4) = 20/80
if there are 125 people and only 57 of them have pets, what percent has pets?
if we take 125 to be the 100%, what is 57 off of it in percentage?[tex]\bf \begin{array}{ccll} amount&\%\\ \cline{1-2} 125&100\\ 57&x \end{array}\implies \cfrac{125}{57}=\cfrac{100}{x}\implies 125x=5700 \\\\\\ x=\cfrac{5700}{125}\implies x = 45.6[/tex]
There are 125 people and 57 of the people have pets. What percent of people have pets.
First, we need to understand what the question is asking us to do. We know that there are 125 people altogether and only 57 of the people have pets. We are trying to figure out what percent of the people have pets.
The fraction [tex]\frac{57}{125}[/tex] is representing the 57 people who have pets out of all the people. To find what percent of people have pets, we have to change [tex]\frac{57}{125}[/tex] to a percent.
57 ÷ 125 = 0.456
0.456 × 100 = 45.6%
Therefore, 45.6% of people have have pets.
Complete the ratio table to convert the units of measure from centimeters to inches or inches to
centimeters.
Centimeters
Inches
1
2.54
5.08
10
Answer:
5.08 centimeters equals 2 inches
10 inches equals 25.4 centimeters
Step-by-step explanation:
we have to complete the following table.
According to the information contained in table 2.54 centimeters it is equal to 1 inch
The first information we have to complete is how many inches equals 5.08 centimeters
To solve it we apply a simple rule of three
[tex]2.54 centimeters \longrightarrow 1 inch \\5.08 centimeters \longrightarrow x[/tex]
[tex]x=\frac{(5.08)(1)}{2.54} \\x=2[/tex]
5.08 centimeters equals 2 inches
The second information that we have to complete is how many centimeters equals 10 inches
[tex]1 inch \longrightarrow 2.54 centimeters\\10 inches\longrightarrow x \\x=\frac{(10)(2.54)}{1} \\x= 25.4[/tex]
10 inches equals 25.4 centimeters
Answer:may 5cm
Step-by-step explanation:
Can someone please help me it would mean a lot
Brackish water is shown as being 0.05 - 3%
2% falls in this range, so it would be Brackish water.
Emma, Erin, and Eden completed the problem to the right.
a. Who completed the problem correctly?
b. What did the other two students do wrong in their answers?
Answer: Eden correctly solved the problem.
Step-by-step explanation:
Without specific problem details, it is impossible to provide an accurate answer on who completed the problem correctly and what mistakes the others made.
Explanation:Without the details of the problem that Emma, Erin, and Eden completed, it is impossible to correctly determine who solved the problem right and what errors the other two students made in their calculations. However, usually, such questions involve displaying similar problems worked out by different students and based on the solution, we would determine who was correct and identify the errors on the part of the other students.
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The simplest form of 3 cube root of 162 is a3 cube root b
Answer:
[tex]3 \sqrt[3]{162} = 3 \sqrt[3]{27} \sqrt[3]{6} = 3(3 \sqrt[3]{6} ) = 9 \sqrt[3]{6} [/tex]
Final answer:
The simplest form of 3 cube root of 162 is 9 cube root 2, with a=9 and b=2 after factoring out the perfect cube within 162.
Explanation:
The student has asked about simplifying the expression 3 cube root of 162 into the form a3 cube root b. The cube root of 162 can be simplified by factoring out cubes. The number 162 is equal to 2 * 81, where 81 is a perfect cube (3³). Thus, we can rewrite 162 as 2 * 3³. When taking the cube root, the cube root of 3³ is 3, and it comes out of the cube root symbol leaving us with 2 inside the cube root. Multiplying this by 3 outside the cube root, we get:
3 * 3 cube root 2 = 9 cube root 2
Therefore, the expression in its simplest form is 9 cube root 2, which follows the format a3 cube root b with a=9 and b=2.
Remove the radical from the denominator below. Do not simplify the answer
I believe the answer is A.
Multiply the top and the bottom by the conjugate of the bottom.
So, multiply the given problem by (6+sqrt 13). This eliminates the radical from the bottom.
Faith reads each night before bed. She read 623 pages last week. If she read the same number of pages every night, which equation can be used to determine how many pages Faith read each night?
Answer:
x= 623/7 x =89 89 pages every night
Step-by-step explanation:
A week has 7 days
She reads 623 pages in one week(623 in 7 days)
8378909u4738938576743898567854ijthguiek
Standard wise. Put innnv graphs[tex]\lim_{n \to \infty} a_n[/tex][tex]\pi[/tex]⇒°О Aproximate form. 623= 624=625 and so on ( yeah you get the point ) so it will623x ex is 699
please help!!!!!
30 pts!!
Answer:
she can make 3 fruit cakes i don't know the rest
Step-by-step explanation:
The answer is 47 bc that’s what it is
Answer this please !
Answer:
x = 90°
Step-by-step explanation:
The diagonals of the kite AC and BD are perpendicular to each other
Hence x = 90°
what is the slope of the line y= -2/7x
Given,
[tex]y = \frac{ - 2}{7} x \\ \frac{2}{7} x + y = 0 \\ \frac{2x + 7y}{7} = 0 \\ 2x + 7y = 0[/tex]
Now,
slope of the line(m) =
[tex] \frac{- coefficient \: of \: x }{coefficient \: of \:y} \\ = \frac{ -2 }{7} [/tex]
Answer:
-2⁄7
Step-by-step explanation:
In the Slope-Intercept Formula, y = mx + b, m is the Rate of Change [Slope]. So, in this case, our slope is -2⁄7.
I am joyous to assist you anytime.
ALOT OF POINTS PLEASE HELP
Answer:
i cant read it
Step-by-step explanation:
Answer:
The cone is a 1/3 of a cilinder.
hope this helped!
someone help me please
Answer:
You answer should be -12.
Step-by-step explanation:
b2−4ac
=(6)^2−4(4)(3)
=−12
Which cylinders have the same volume as the cylinder below? Check all that apply.
Option 2 in the given figure will have a maximum volume of 5120π cubic meters.
What is volume?Volume is defined as the space occupied by any object in the three-Dimensions. To find out the volume of the cylinder we need the length and diameter of the cylinder.
The volume of the first figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 10² ) 64 = 1600π cubic meters
The volume of the second figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 32² ) 20 = 5120π cubic meters
The volume of the third figure:-
V = ( π / 4 ) ( d² ) L
V = ( π / 4 ) ( 10² ) 128 = 3200π cubic meters
We can see that the volume of the third figure is maximum.
Therefore Option 2 in the given figure will have a maximum volume of 5120π cubic meters.
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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 air space surrounding the cone inside the cylinder? (Use 3.14 as an approximation of `pi`.)
A.
452.16 cm3
B.
840.54 cm3
C.
1,055.04 cm3
D.
1,456.96 cm3
Need this to graduate. Math 3- 10 points. Find the function!
The answer is:
The fourth option,
[tex](f-g)(x)=11x[/tex]
Why?To solve the problem, we must remember the following property of the functions:
Subtraction of functions:
We have that,
[tex](f-g)(x)=f(x)-g(x)[/tex]
We are given the functions:
[tex]f(x)=4x+3[/tex]
and
[tex]g(x)=3-7x[/tex]
So, calculating we have:
[tex](f-g)(x)=f(x)-g(x)[/tex]
[tex](f-g)(x)=(4x+3)-(3-7x)[/tex]
[tex](f-g)(x)=4x+3-3+7x[/tex]
[tex](f-g)(x)=4x+7x+3-3=11x[/tex]
Hence, the answer is the fourth option,
[tex](f-g)(x)=11x[/tex]
Have a nice day!
Answer:
(D) (f-g)(x) = 11x
Step-by-step explanation:
You have:
f(x) = 4x + 3
g(x) = 3 - 7x
You want to do f(x) - g(x)... you simply do the operation on their definition...
f(x) - g(x) = 4x + 3 - (3 - 7x) = 4x + 3 - 3 + 7x = 11 x + 0
So, (f-g)(x) = 11x
You can verify it by placing a value for x in both equations. Let's take x = 3
f(x) = 4x + 3 = 4(3) + 3 = 15
g(x) = 3 - 7x = 3 - 7(3) = -18
f(x) - g(x) = 15 - -18 = 33
(f - g)(x) = 11x = 11 (3) = 33
Yes, (f(x) - g(x)) = (f - g)(x) = 33
Jayne stopped to get gas before going on a road trip. The tank already had 4 gallons of gas in it. Which best describes why the graph relating the total amount of gasoline in the tank, y, to the number of gallons that she added to it, x, will be continuous or discrete?
The graph will be continuous because the amount of gas that she added to the tank does not need to be an integer amount.
The graph will be continuous because we are not told a maximum value for the amount of gas.
The graph will be discrete because there are already exactly 4 gallons of gas in the tank, so to fill it up will take a whole number of gallons of gas.
The graph will be discrete because there is an end to the amount of gas she can use, as the tank will be completely full at some point.
Answer:
12
Step-by-step explanation:
add 2 and 5
Is 6.333 a irrational number & If so what is it
it is a rational number
Answer:
yes
Step-by-step explanation:
A rational number can be expressed in the form
[tex]\frac{a}{b}[/tex], where a and b are integers
6.333 can be expressed as
6 [tex]\frac{333}{1000}[/tex] = [tex]\frac{6333}{1000}[/tex] ← a rational number
Can someone please help me
Answer:
5km=5000m
Because the rate to this is: 1:1000
Answer:
Step-by-step explanation:
[tex]\text{5 km}*\dfrac{1000 m}{1 km} = 5000m[/tex]
Notice that the units cancel out. You always want that to happen. Depending on your grade level and your teacher, you can avoid the proportion by doing the question this way. Always make sure you arrange it so that 1 set of units will cancel.
help needed on highlighted questions! 20 points
For this case we must solve the following questions:
Question 1:
We must solve the following quadratic equation:
[tex]x ^ 2 + 1 = 0[/tex]
We subtract 1 from both sides of the equation:
[tex]x ^ 2 + 1-1 = -1\\x ^ 2 = -1[/tex]
We apply square root to eliminate the exponent:
[tex]x = \pm \sqrt {-1}[/tex]
The solution is not real.
[tex]x_ {1} = + i\\x_ {2} = - i[/tex]
Answer:
[tex]x_ {1} = + i\\x_ {2} = - i[/tex]
Option D
Question 2:
We must solve the following quadratic equation:
[tex]x ^ 2-10x + 24 = 0[/tex]
We factor the equation, that is, we must look for two numbers that when multiplied give as result 24 and when summed with -10. These numbers are -6 and -4:
[tex]-6-4 = -10\\-6 * -4 = 24\\(x-6) (x-4) = 0[/tex]
The roots are:
[tex]x_ {1} = 6\\x_ {2} = 4[/tex]
ANswer:
[tex]x_ {1} = 6\\x_ {2} = 4[/tex]
Option D
Question 3:
We must complete squares of the following expression:
[tex]x ^ 2-18x = 7[/tex]
We add [tex](\frac {b} {2}) ^ 2 = (\frac {-18} {2}) ^ 2 = (- 9) ^ 2[/tex]
Then:
[tex]x ^ 2-18x + (- 9) ^ 2 = 7 + (- 9) ^ 2\\x ^ 2-18x + (- 9) ^ 2 = 7 + 81\\x ^ 2-18x + (- 9) ^ 2 = 88\\(x-9) ^ 2 = 88[/tex]
Then, to complete the square, add it to both sides [tex](-9) ^ 2 = 81[/tex]
Answer:
Option C
You save $8,500.00. You place 40% in a savings account earning a 4.2% APR compounded annually and the rest in a stock plan. The stock plan decreases 3% in the first year and increases 7.5% in the second year. What is the total gain at the end of the second year for both accounts combined?
Answer:
The total gain at the end of the second year for both accounts combined is $509.09.
Step-by-step explanation:
Amount saved = $8500
40% of 8500 is saved in saving account; [tex]0.4\times8500=3400[/tex]
Remainder amount in stock plan; [tex]8500-3400=5100[/tex]
Working for savings plan:
[tex]A=p(1+\frac{r}{n})^{nt}[/tex]
Here, p = 3400 ; n = 1 , t = 2 , r = 0.042
Putting values in formula:
[tex]A=3400(1+\frac{0.042}{1})^{2}[/tex]
[tex]A=3400(1+0.042)^{2}[/tex]
A = $3691.60
We get a gain of [tex]3691.60-3400=291.60[/tex] dollars
Working for stock plan:
The stock plan decreases 3% in the first year and increases 7.5% in the second year.
[tex]5100\times 0.97=4947[/tex]
When increases;
[tex]4947\times1.075=5318.03[/tex] dollars
So, we get a gain of [tex]5318.03-5100=218.03[/tex] dollars
Therefore, we have a total gain of [tex]291.06+218.03=509.09[/tex] dollars.
Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below. What is the instructor’s hourly fee?
$15 per hour
$22 per hour
$26 per hour
$37 per hour
Answer:
Hourly fee = $15 per hour
Step-by-step explanation:
Royce is taking violin lessons. The instructor charges an initial fee and an hourly fee. The amount Royce pays based on the length of his lesson is shown in the graph below.
To find out hourly fee , we use any two points from the given graph
Hourly fee is the slope of the line
LEts pick (2,52) and (3,67)
Slope = [tex]\frac{y_2-y_1}{x_2-x_1} = \frac{67-52}{3-2} = 15[/tex]
Hourly fee = $15 per hour
Answer:
$15
Step-by-step explanation:
I play the violin and my lessons i get from school ive been playing for 4 and a half years now i no everything and i can surely tell you its $15
James is 1.63 meters tall. Write James’s height in word form. Explain how you Found your answer.
Answer:
James is 1 meter and 63 centimeters tall
Step-by-step explanation:
James is 1 meter and 63 centimeters tall. The first step will be to subtract 1 from his height;
1.63 - 1 = 0.63 meters
The 1 subtracted is equivalent to 1 meter. The next step is to convert the remaining height in meters to centimeters by multiplying by 100;
0.63 * 100 = 63 centimeters
We can thus say, James is 1 meter and 63 centimeters tall or equivalently 163 centimeters tall
Need some help with this math question thanks :)
Answer:
Option B [tex]\frac{24}{25}[/tex]
Step-by-step explanation:
we know that
[tex]sin(2\theta) = 2 sin(\theta) cos(\theta)[/tex]
In this problem we have
[tex]cos(\theta)=\frac{4}{5}[/tex]
Find the value of [tex]sin(\theta)[/tex]
Remember that
[tex]sin^{2} (\theta)+cos^{2} (\theta)=1[/tex]
substitute the value
[tex]sin^{2} (\theta)+(\frac{4}{5})^{2}=1[/tex]
[tex]sin^{2} (\theta)=1-\frac{16}{25}[/tex]
[tex]sin^{2} (\theta)=\frac{9}{25}[/tex]
[tex]sin(\theta)=\frac{3}{5}[/tex]
Find the value of [tex]sin(2\theta)[/tex]
[tex]sin(2\theta) = 2 (\frac{3}{5})(\frac{4}{5})[/tex]
[tex]sin(2\theta) = \frac{24}{25}[/tex]
PLEASE HELP RIGHT AWAY
Answer:
-20
Step-by-step explanation:
Unfortunately, there is no shortcut to solve these... you have to do the work, iteration by iteration.
A recursive function is a function that calls itself and takes as input the output of the previous call.
a = -2 a + 4
a1: 1
a2: -2 (1) + 4 = -2 + 4 = 2
a3: -2 (2) + 4 = -4 + 4 = 0
a4: -2 (0) + 4 = -0 + 4 = 4
a5: -2 (4) + 4 = -8 + 4 = -4
a6: -2 (-4) + 4 = 8 + 4 = 12
a7: -2 (12) + 4 = -24 + 4 = -20
so a7 = -20
Monique only has $36 to buy pens and notebooks. Each pen costs $2. Each
notebook costs $3. Which of the following graphs represents the possible
combinations of pens and notebooks that she may purchase?
Answer:
9 notebooks=36 or 12 pens=24+ 4 notebooks=12 in total 36
Step-by-step explanation:
first way: 9×4=36
second way: 12×2=24
3×4=12
24+12=36
which formula do you use to find the surface area of a cylinder
================================================
Explanation:
The portion that has 2pi*r^2 represents the two base areas (think of the top and bottom of a can). The 2*r*pi*h is the lateral surface area, which can be thought of as the area in which the label covers. So put together the total surface area of the entire cylinder is 2pi*r^2 + 2*r*pi*h
note: 2*r*pi*h is the same as 2pi*r*h
3. Assume that a company sold 5.75 million motorcycles and 3.5 million cars in the year 2010. The growth in the sale of motorcycles is 16% every year and that of cars is 25% every year. Find when the sale of cars will be more then the sale of motorcycles.
(SHOW WORK)
In a survey in 2010, the population of two plant species were found to be growing exponentially. Their growth is given by these equations: species A, and species B, , where t = 0 in the year 2010.
Answer: 7 years
Step-by-step explanation:
year 1 5.75 (million) x 1.16 (16 percent ) = 6.67 motorcycles
year 2 6.67 x 1.16 = 7.7372
year 3 7.74 x 1.16 = 8.9784
year 4 8.98 x 1.16 = 10.4168
year 5 10.42 x 1.16 = 12.0834
year 6 12.09 x 1.16 = 14.0244
year 7 14.02 x 1.16 = 16.2632
year 1 3.5 (million) x 1.25 (25 percent) = 4.375
year 2 4.375 x 1.25 = 5.46875
year 3 5.47 x 1.25 = 6.8359
year 4 6.84 x 1.25 = 8.5449
year 5 8.55 x 1.25 = 10.6875
year 6 10.69 x 1.25 = 13.359375
year 7 13.36 x 1.25 = 16.7
Someone help please!!!
Answer:
41.5 ft
Step-by-step explanation:
From the information given, and definition of midpoint, we know that:
AB = BC = ½ AC
AC = CE = ½ AE
CD = DE = ½ CE
GF = FE = ½ GE
HG = GE = ½ HE
AI = IH = ½ AH
AJ = JI = ½ AI
We also know:
AH = 20
HE = 14
GD = 4
Therefore:
AI = IH = 10
HG = GE = 7
AJ = JI = 5
GF = FE = 7/2
Next, since JB and IC are parallel with HE, we know that AJB and AIC are similar to AEH. So:
JB / 5 = 14 / 20
JB = 7/2
IC / 10 = 14 / 20
IC = 7
And since DF and CG are parallel to AH, then DFE and DGE are similar to AHE. So:
DF / (7/2) = 20 / 14
DF = 5
CG / 7 = 20 / 14
CG = 10
Next we know that AIB and AHC are similar, and DEG and CEH are similar.
IB / 10 = CH / 20
CH / 14 = 4 / 7
CH = 8, IB = 4.
We've found all the lengths inside triangle AEH. Adding them up:
JB + IB + IC + CH + CG + DG + DF
7/2 + 4 + 7 + 8 + 10 + 4 + 5
41.5
The total length of the inside bars is 41.5 ft.