15 POINTS


Using Euler's Formula: F+V=E+2


A geometric solid has thirty-two faces and ninety edges. Find the number of vertices.


SHOW WORK

Answer:

rate per month = .01 agreed = r

Luckily they only ask for the first month so it is 0.01 * 20 .

Later months get more complicated and it is like paying off a mortgage with the term unknown but the rate and payment known.

Payment = principal value [ r / {1-(1+r)^-n } ]

100 = 2000 [ .01 / {1 - (1.01)^-n } ]

5 = 1/ {1 - (1.01)^-n }

.2 = 1 - (1.01)^-n

.8 = 1.01^-n

log .8 = -n log 1.01

n = 22.4 months :)

so over the almost two years pay 2240 total :)

* Hopefully this helps:) Mark me the brainliest:)!!!

Final answer:

For Sheila's first payment on her new computer financed at 12% annual interest with $100 monthly payments, she will pay $20 towards interest and the remaining $80 will go towards the principal.

Explanation:

Sheila bought a new computer for $2000 and agreed to finance it at 12% annual interest, with $100 monthly payments. To calculate the interest she will pay with the first payment, we need to find 1% of $2000 (since 12% per year is equivalent to 1% per month).

(1% of $2000) = 0.01 * $2000 = $20

Therefore, when Sheila makes her first monthly payment of $100, $20 will go towards interest, and the remaining $80 will reduce the principal on her loan.

Answer:

12 I think........?....

Answer:

The answer is 12

Step-by-step explanation:

In this case, we just have to try with all of them:

Then it is not divisible (it is not integer). This proves the statement false.

Let's try with the others as well, just to check:

All the others don't prove false that statement.

Answer:

The domain is {x I x ≠ 13} ⇒ the last answer

Step-by-step explanation:

* Lets talk about the composite function

- It is a function is found from two given functions by applying one

 function into the second function.

- The applying function is the domain of the second function

- (f °g)(x) means g(x) is applying into f(x)

* Lets solve the problem

∵ f(x) = x + 7

∵ g(x) = 1/(x -13)

- To apply g(x) into f(x) replace x in f(x) by g(x)

∴ f(g(x)) = f(1/(x - 13)) = 1/(x - 13) + 7

- The domain of the function is all values of x which make the function

  defined

- The domain is all real numbers except the value which makes

 the denominator = 0

- To find this value put the denominator = 0

∵ The nominator of (f ° g)(x) is x - 13

∴ Put x - 13 = 0

∴ x - 13 = 0 ⇒ add 13 to both sides

∴ x = 13

∴ The domain of (f ° g)(x) is all real numbers except x = 13

* The domain is {x I x ≠ 13}

Answer:

Each burrito platter costs $_31__ and each taco platter costs $_23__ .

Step-by-step explanation:

Let the cost of a burrito platter be x and the cost of a taco platter be y;

4 burrito platters and 5 taco platters would cost;

4x  + 5y = 239

3 burrito platters and 5 taco platters would cost;

3x + 5y = 208

We can solve the two equations simultaneously via elimination method. We subtract the two equations in order to eliminate y and solve for x;

4x - 3x = 239 - 208

x = 31

Using the first equation, substitute x = 31 and solve for y;

4(31) + 5y = 239

124 + 5y = 239

5y = 115

y = 23

Hello There!

None of them would be the correct answer

Have a great day!

The answer is 18 inches.

Let r=radius and d=diameter

2r=d

2(9)=d

18=d

Hope this helps!

Answer:

18 inches

Step-by-step explanation:

ANSWER

C. Factoring a perfect square trinomial.

EXPLANATION

The first step shown is:

[tex] {x}^{2} + \frac{b}{a}x + ( \frac{b}{2a} )^{2} = - \frac{c}{a} + ( \frac{b}{2a} )^{2}[/tex]

Observe that the left hand side is a perfect square trinomial.

In other words, the left hand side is of the form,

[tex] {m}^{2} + 2mn + {n}^{2} [/tex]

which can be factored as:

[tex] {m}^{2} + 2mn + {n}^{2} = {(m + n)}^{2} [/tex]

When we factor the perfect square trinomial on the left hand side, we obtain:

[tex]( x + \frac{b}{2a} )^{2} = - \frac{c}{a} + ( \frac{b}{2a} )^{2}[/tex]

The correct answer is C

Answer:

FACTORING A PERFECT SQUARE TRINOMIAL!

Step-by-step explanation:

GOT IT CORRECT ON 3.8.3 AP-EX...

it's not sq root because that comes afterwards.

it's not completing the square because that's

x^2+ bx/a +(b/2a)^2=-c/a+(b/2a)^2

Then from there it's

x^2 + bx/a + b^2/4a^2 = -c/a + b^2/4a^2

(x + b/2a)^2 = b^2/4a^2 -c/a

Then that step ends. If you don't believe me look at study 3.3.1 page 13.

This will help!

Answer:

x = 9

Step-by-step explanation:

Substitute y=6 into 2x+3y=36

2x+3(6) =36

2x + 18 = 36

2x = 18

x = 9

Answer:

x = 9

Step-by-step explanation:

Substitute y=6 into 2x+3y=36

2x+3(6) =36

2x + 18 = 36

2x = 18

x = 9

Answer:

x=3

Step-by-step explanation:

i just did it on ttm  

the y=14x-6

y=-4x=48

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Answer:

Jump discontinuities - No defined limit; the left-handed and right-handed limits will be different, converging at two different finite values

Removable - The limit at this point is defined; the left and right-hand limits both converge on the same value

Asymptotic - The left-and-right-handed limits at this point will either tend to ∞ or -∞

Answer:

x=9

Step-by-step explanation:

(x+3)/2=6​

Multiply each side by 2

2*(x+3)/2=6*2

x+3 = 12

Subtract 3 from each side

x+3-3 = 12-3

x = 9​

Simplify 6/9 to 2/3

2/3 = x + 2/24

Simplify 2/24 to 1/12

2/3 = x + 1/12

Subtract 1/12 from both sides

2/3 - 1/12 = x

Simplify 2/3 - 1/12 to 7/12

7/12 = x

Switch sides

x = 7/12

The wide side of the garden is 12 feet, so the other side would be 12 feet aswell.

12+12=24

To find the length of each long side, you subtract 60-12, then divide by 2.

60-12=48/2=24

Answer:

360 radical 2 or 509.11688

Step-by-step explanation:

simplify the radicals

12 =2 radical 3

calculate the products

10* 2 radical 3 * 6 radical 6

= 120 radical 18

again simplify

360 radical 2  

Answer:

360 radical 2

Step-by-step explanation:

[tex]\bf \textit{area of a sphere}\\\\ SA=4\pi r^2~~ \begin{cases} r=radius\\ \cline{1-1} SA=64\pi \end{cases}\implies 64\pi =4\pi r^2 \\\\\\ \cfrac{64\pi }{4\pi }=r^2\implies 16=r^2\implies \sqrt{16}=r\implies 4=r[/tex]

The radius of the sphere will be 4 meters. Thus, the correct option is D.

Let r be the radius of the sphere. Then the surface area of the sphere will be given as,

SA = 4πr² square units

The surface area of the sphere is 64π square meters. Then the radius of the sphere is calculated as,

64π = 4 x π x r²

r² = 16

r = 4 meters

Thus, the correct option is D.

More about the surface area of the sphere link is given below.

https://brainly.com/question/29251585

#SPJ3

Answer: 21

Step-by-step explanation:

we have two simple equations:

1) 70=100%

2) x=30%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

70/x=100%/30%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 30% of 70

70/x=100/30

(70/x)*x=(100/30)*x - we multiply both sides of the equation by

70=3.33333333333*x - we divide both sides of the equation by (3.33333333333) to get x

70/3.33333333333=x

The fore, the answer is 21

Answer:

21

Step-by-step explanation:

30% of some quantity is equivalent to 0.30 times that quantity.

In this case, 30% of 70 is 0.30(70) = 21.

Answer:

the answer would be 4

Step-by-step explanation:

The number 39□,077 to the nearest thousand and get 394,000, the thousands place digit must be 5 since that's the digit which would lead to rounding up. Hence, the correct digit to replace the □ would be 5.

Digits in the thousands place of the number 39□,077 would make it round to 394,000 when rounded to the nearest thousand. When rounding to the nearest thousand, we look at the hundreds place to decide whether to round up or down. The rules for rounding are if the hundreds place digit is 5 or higher, we round up, and if it is 4 or lower, we do not round up.

Therefore, to round up to 394,000, the digit in the hundreds place should be 5 or higher. This means that the options provided as possible answers:

3

4

5

Can be evaluated based on this rule. The digit 3 or 4 in the thousands place would not cause the number to round up, but the digit 5 would result in the number being rounded up to 394,000. Thus, the correct answer is 5.

Answer:

Degree 9.

Step-by-step explanation:

The degree is the sum of all the exponents.

So it is 2 + 3 + 4 = 9.

The degree is the sum of all the exponents  5r^2s^3t^4, So it is 2 + 3 + 4 = 9.

The degree sum formula says that if you add up the degree of all the vertices in a (finite) graph, the result is twice the number of the edges in the graph. There's a neat way of proving this result, which involves double counting: you count the same quantity in two different ways that give you two different formulae.

The degree is the sum of all the exponents  5r^2s^3t^4

So it is 2 + 3 + 4 = 9.

Degree of the Term is the sum of the exponents of the variables. Example. 2x 4y 3 4 + 3 = 7 7 is the degree of the term. 5x-2y 5 NOT A TERM because it has a negative exponent.

To learn more about the degree sum formula, refer

https://brainly.com/question/20429581

#SPJ2

Answer:28 + 10i

Step-by-step explanation: You first distribute.

(3i+4-i+4(6+2i)

3i +4-i+24+8i (Distribute)

3i - i = 2i + 8i= 10i and 4 + 24= 28 (Combine like terms)

10i + 28 or 28 + 10i

Answer:

Answer: 28 + 10i

Step-by-step explanation:

A P E X

Answer:

The measure of angle LMN is 68° ⇒ the last answer

Step-by-step explanation:

* Lets revise the properties of the rhombus

- The rhombus has 4 equal sides in length

- Every two opposite angles are equal in measure

- Every two adjacent angles are supplementary (their sum = 180°)

- The two diagonals bisect each other

- The two diagonals perpendicular to each other

- The two diagonals bisect the vertices angles

* Lets solve the problem

∵ LMNO is a rhombus

∴ ∠LMN and ∠MNO are adjacent angles

∴ ∠LMN and ∠MNO are supplementary

∴ m∠LMN + ∠MNO = 180°

∵ m∠MNO = 112°

∴ m∠LMN + 112° = 180° ⇒ subtract 112 from both sides

∴ m∠LMN = 68°

* The measure of angle LMN is 68°

Answer:

68

Step-by-step explanation:

Answer:

[tex]Area=1,325\ yd^2\\Perimeter=204\ yd[/tex]

Step-by-step explanation:

You can use the following formula to calculate the area of the triangle:

[tex]A=\frac{bh}{2}[/tex]

Where "b" is the base and "h" is the height.

You can observe in the figure that:

[tex]b=53\ yd\\h=50\ yd[/tex]

Then, the area is:

[tex]A=\frac{(53\ yd)(50\ yd)}{2}=1,325\ yd^2[/tex]

To find the perimeter you must add the lenght of each side of the triangle. Then, this is:

[tex]P=97\ yd+53\ yd+54\ yd\\\\P=204\ yd[/tex]

Answer:

The answer is 450

Step-by-step explanation:

V = l*w*h

V = 15*10*3

V= 450

ANSWER

[tex]450 {cm}^{3} [/tex]

EXPLANATION

The prism shown is a rectangular prism or cuboid.

The volume of a cuboid is given by:

[tex]Volume=l \times b \times h[/tex]

From the diagram, the length is l=15cm ,the breadth is b=10cm and the height is h=3cm.

We substitute the values into the formula to obtain,

[tex]Volume=15 \times 10 \times 3[/tex]

We simplify to get,

[tex]Volume=450 {cm}^{3} [/tex]

ANSWER

[tex]f(x + h) = \frac{4x + 4h}{1 - x - h}[/tex]

EXPLANATION

The given expression is

[tex]f(x) = \frac{4x}{1 - x} [/tex]

To find an expression for f(x+h), we substitute x+h, wherever we see x in the given expression.

This implies that,

[tex]f(x + h) = \frac{4(x + h)}{1 - (x + h)} [/tex]

We simplify to obtain;

[tex]f(x + h) = \frac{4x + 4h}{1 - x - h} [/tex]

Answer:

A

Step-by-step explanation:

(4x+4h)/(1-x-h)

Answer:

Step-by-step explanation:

The perfect square:

[tex](a+b)^2=a^2+2ab+b^2[/tex]

Q4

We have

[tex]y^2+14y+49=0\\\\y^2+2(y)(7)+7^2=0\\\\(y+7)^2=0\iff y+7=0\qquad\text{subtract 7 from both sides}\\\\\boxed{y=-7}[/tex]

Q5

We have

[tex]y^2+16y+64=0\\\\y^2+2(y)(8)+8^2=0\\\\(y+8)^2=0\iff y+8=0\qquad\text{subtract 8 from both sides}\\\\\boxed{y=-8}[/tex]

ANSWER

A) v1 is not perpendicular to v2

EXPLANATION

Two non-zero vectors are orthogonal or perpendicular if their dot product is zero.

In other words,if two non-zero vectors are not orthogonal or perpendicular then their dot product is not equal to zero.

From the question v1 and v2 are non-zero vectors and their dot product is not equal to zero.

This tells us that, the two vectors are not perpendicular.

The correct choice is A.

Answer:

A) v1 is not perpendicular to v2

Step-by-step explanation:

This proves that the test for orthogonality fails (doesn’t equal zero) meaning that V1 is not perpendicular to V2.

Answer:

[tex]\begin{array}{cccc}&\text{Like fish}&\text{Don't like fish}&\text{Total}\\\text{Like turtle}&6&15&21\\\text{Don't like turtle}&11&12&23\\\text{Total}&17&27&44\end{array}[/tex]

Step-by-step explanation:

From the Venn diagram:

So, in total,

6+11+15+12=44 participants took part in survey.

The two-way table looks like

[tex]\begin{array}{cccc}&\text{Like fish}&\text{Don't like fish}&\text{Total}\\\text{Like turtle}&6&15&21\\\text{Don't like turtle}&11&12&23\\\text{Total}&17&27&44\end{array}[/tex]

Answer:

Step-by-step explanation:

The perimeter of the given triangle:

P = (2x + 1) + (x + 2) + (3x - 9) and P = 36 cm.

Therefore we have the equation:

2x + 1 + x + 2 + 3x - 9 = 36          combine like terms

(2x + x + 3x) + (1 + 2 - 9) = 36

6x - 6 = 36      add 6 to both sides

6x = 42          divide both sides by 6

x = 7

Answer:

x = - 2

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = x² - 2x + 6x + 4 = x² + 4x + 4 ← equating to 0

x² + 4x + 4 = 0 ← in standard form

(x + 2)² = 0 ← in factored form, thus

x + 2 = 0 ⇒ x = - 2

Sooo whats the question

Answer:

-3/4

Step-by-step explanation:

Perpendicular slopes are reciprocal opposites of the original slope. This means that the reciprocal of 4/3 is 3/4, and the opposite of 3/4 is -3/4.

To find the perpendicular slope you must take the given slope take the opposite reciprocal (aka switch the sign and flip the fraction)

so...

[tex]\frac{-3}{4}[/tex]

^^^slope perpendicular to 4/3

Hope this helped!

~Just a girl in love with Shawn Mendes