Evaluate: 5.12 ÷ 102.

12,480 es par y la suma de sus digitos da un multiplo de 3, por ello concluimos que es divisible por 6.

Para que un número sea divisible por 6 debe cumplir dos condiciones.

En este caso tenemos 12,480, que sabemos que es par.

La suma de sus digitos da:

1 + 2 + 4 + 8 + 0 = 15

15 es multiplo de 3.

Entonces este número cumple ambas condiciones, por lo que concluimos que 12,480 es divisible por 6.

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Answer:

  it is the complement of 28°

Step-by-step explanation:

Angle DAB made by a tangent and a chord to the point of tangency is equivalent to every other inscribed angle that intercepts the same arc. Those angles have half the measure of the central angle ACB intercepting the same arc.

In isosceles triangle ABC the base angles (shown as 28°) are the complement of half the measure of the central angle. Hence angle DAB will be the complement of the angle marked 28°.

  angle DAB = 90° -28° = 62°

Answer:

B

Step-by-step explanation:

Yes, because for each input there is exactly one output. You can have two of the same x values but you cannot have 2 of the same y values. if you have two of the same y values, it is not a function as it doesn't pass the vertical line test.

Answer:

0.9594

Step-by-step explanation:

Given that:

Sample size (n) = 64

p = 30% = 0.3 ; 1 - p = 0.7

Probability that sample proportion is greater than 0.2

Mean (m) = n*p = 64 * 0.3 = 19.2

Standard deviation (s) = √n*p*(1-p) = √(19.2*0.7)= 3.67

0.2 of 64 = 12.8

Z > [(x - m) / s]

Z > (12.8 - 19.2) / 3.67

Z > (-6.4 /3.67)

Z > - 1.7438

= 0.9594

\(\cfrac{2x^3}{x+5}\div \cfrac{x-5}{3x-1}\implies \underset{\textit{difference of squares}}{\cfrac{2x^3}{x+5}\cdot \cfrac{3x-1}{x-5}}\implies \cfrac{6x^4-2x^3}{x^2 - 5^2}\implies \cfrac{6x^4-2x^3}{x^2 - 25}\)

Answer: 5 inspections in 4 hours, because if its 8 hours it would be 10 inspections

Step-by-step explanation:

Answer:

1.25

Step-by-step explanation:

10 ÷ 8 = 1.25

Answer:

x=+/-3

Step-by-step explanation:

x^4-5x^2-36=0

factor

(x^2-9)(x^2+4)=0

split into 2 equations because one of these terms will need to equal zero for the eqation to be true

x^2-9=0              x^2+4=0

x^2=9                    x^2=-4

x=+/-3                    no real numbers

Answer:

B) X = ±2i and x = ±3

Step-by-step explanation:

Took the test

Each letter should be matched to its correct term as follows;

1. A ⇔ Efficiency.

2. B ⇔ Impossible.

3. C ⇔ Inefficiency.

In Economics and Mathematics, a production possibilities curve (PPC) can be defined as a type of graph that is typically used for illustrating the maximum and best combinations of two (2) products that can be produced by a producer (manufacturer) in an economy, if they both depend on the following two (2) factors;

Based on the production possibilities curve shown in the image attached above, we can reasonably infer and logically deduce that each of the letters represent the following terminologies;

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Answer: positive 7

Step-by-step explanation:

Cardinal number of the set containing all negative integers greater than −8 is 7.

In mathematics,cardinal numbers or cardinals for short, are generalization of the natural numbers used to measure the cardinality of sets. The cardinality of a finite set is a natural number: the number of elements in the set.

Now the given set is all negative integers greater than -8.

Let S be the set,so

S = {-7,-6,-5,-4,-3,-2,-1}

now to find the cardinality, we see that set S has 7 elements.

Cardinality of Set S is 7.

Hence, cardinal number of the set containing all negative integers greater than −8 is 7.

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Answer:

To find the x and y intercepts, we set x and y to zero respectively:

x-intercept: setting y = 0 gives us 6/(x^2 - 5x - 6) = 0, which has no real solutions.

y-intercept: setting x = 0 gives us s(0) = 6/(-6) = -1.

To find the vertical asymptotes, we set the denominator equal to zero and solve for x:

x^2 - 5x - 6 = 0

(x - 6)(x + 1) = 0

This gives us two vertical asymptotes at x = 6 and x = -1.

To find the horizontal asymptote, we need to look at the behavior of the function as x approaches infinity and negative infinity. As x becomes very large in magnitude, the terms involving x^2 become much larger than the terms involving x or the constant term, and so we can ignore those terms. This gives us:

s(x) ≈ 6/x^2 as x → ±∞

Therefore, the horizontal asymptote is y = 0.

In summary:

x-intercept: none

y-intercept: (0, -1)

vertical asymptotes: x = 6 and x = -1

horizontal asymptote: y = 0

If you have anymore questions, feel free to comment and I will answer them 8-5 I am on.

Step-by-step explanation:

Answer:

8 hours and 8 minutes

Step-by-step explanation:

there are 24 hours on the clock so if you add 6 to the 24 it would make you be at 0:00 so then you would add 2 hours and since 28 is 8 more than 20 it would be 8 hours and 8 minutes.

Answer:

53

Step-by-step explanation:

INnbdueif v ur[gtwogre gregabgbf

Answer:

24

Step-by-step explanation:

The expression 2 3/5 ÷ 5 3/8 given is written in simplest form as  104/215

The problem is a division problem in mixed numbers

converting to improper fractions we have

= 2 3/5 ÷ 5 3/8

= 13/5 ÷ 43/8

inverting the divisor to change to multiplication

= 13/5 ÷ 43/8

= 13/5 * 8/43

= 104/215

The division problem is simplest form give 104/215

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The length of the curve is given by the integral of the magnitude of the velocity vector, which is the derivative of the position vector. Taking the derivative of the position vector, we get the velocity vector as follows:

v(t) = 6i + 24t1/2j + 12tk

The magnitude of this vector is

√(6²+ 24²t + 12²t²)

= √(36 + 576t + 144t²).

To find the length of the curve, we need to integrate this magnitude from t=0 to t=1. This is given by the integral:

L = ∫0² √(36 + 576t + 144t²)dt

This evaluates to L = 18.75. Therefore, the length of the curve is 18.75.

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Answer:

1156

Step-by-step explanation:

SA = 2πr (h + r)

Radius = 8cm

Height = 15cm

^ = To the power of (exponent)

Top surface area

π x 8^2 = 201

Bottom surface area

Congruent to Top = 201

Add bottom and surface together= 402

Side surface area

2π x 8 x 15 = 753

Add all together

753 + 402 = 1156 (can be rounded up one)

Hope that helped, if not I can try to explain better.

The requried population increased by approximately 60.53%.

To find the absolute increase, we subtract the initial population from the final population:

Absolute increase = Final population - Initial population

Absolute increase = 6100 - 3800

Absolute increase = 2300

Therefore, the population increased by 2300 people.

To find the relative increase, we first calculate the percent change:

Percent change = (New value - Old value) / Old value x 100%

Percent change = (6100 - 3800) / 3800 x 100%

Percent change = 2300 / 3800 x 100%

Percent change = 60.53%

Therefore, the population increased by approximately 60.53%.

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Answer:

60,000

Step-by-step explanation:

Answer:

The program that would be run in the MARIE Simulator to get the desired output is given below:

The MARIE Program with the given requirements is as follows

ORG 33610

InputStore ID_LAST_DIGIT

Load ID_LAST_DIGIT

Loop:

 Output

 Add ONEStore ID_LAST_DIGIT

  Load ID_LAST_DIGIT

  Subt TEN

Skipcond

800Jump

Loop:

 HaltI

 D_LAST_DIGIT:

 DEC 0ONE:

 DEC 1TEN:

 DEC 10

END

The program starts at 33610.

Input your last university ID digit (e.g., 5)

The program will show numbers from the input to 10.

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Answer:

60

Step-by-step explanation:

x = 180 - [ 57 + ( 180 - 117 ) ]

= 180 - [ 57 + 63 ]

= 180 - 120

x = 60

Answer:

  17%

Step-by-step explanation:

You want the percentage represented by a tip of $10.34 on a dinner bill of $61.66.

A percentage is a fraction that has been multiplied by 100%:

  10.34/61.66 × 100%

  ≈ 0.168 × 100%

  ≈ 17%

The tip was about 17% of the original bill.

Mistake occurred because Riley incorrectly factored the denominator of the second fraction as (x-2)(x+3) instead of (x-3)(x+3). This resulted in an incorrect expression in step 2, which led to incorrect calculations in subsequent steps.

Riley made a mistake on step 2. The second term should have been written as follows:

startfraction 3(x-3) over endfraction (x-2)(x-3)

Riley instead wrote:

endfraction startfraction 3(x-2) over (x-2)(x+3)

Riley erroneously calculated the second fraction's denominator as (x-2)(x+3) rather than (x-3)(x+3), which led to this error. Step 2's expression was inaccurate as a result, which caused the computations in the steps that followed to be incorrect.

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There are 20 marbles, and 12 of them are yellow; therefore, the number of yellow marbles does not equal the number of marbles, nor does the number of yellow marbles equal the number of yellow marbles because they are yellow.

I There can only be 31 marbles in the bag, since 30 marbles is the most number that each person can have equitably, plus one extra marble. As a result, the first response is A. Since 60 is divisible by 2, 3, and 5, plus 1 (leaving 1 remaining), 61 might also be a conceivable number of marbles in the bag.

The likelihood of selecting a ball from a bag is calculated by dividing the total number of balls by the quantity of that color. As a result, the likelihood of a red ball in the first case is 3/9, or 1/3. The likelihood of selecting a second ball if that ball is now eliminated is 2/8 or 1/4.

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The linear and exponential equations for the amount of money in the banks indicates;

TCF Bank Equation

y = 100·x + 1000

Well Fargo Bank Equation

y = (1.06)ˣ

The number of years it will take for both accounts to have the same amount of money is about 17 years

An exponential equation is an equation of the form; y = a·bˣ, where the input variable, x is an exponent.

The equation for calculating the amount in each bank, based on the details are;

TCF Bank;

Amount invested = $1,000

Amount added each year = 100·x

Well Fargo Bank Equation

The percentage of the amount earned as interest each year = 6% = 0.06

The exponential equation for compound interest amount is; y = 1000·(1 + 0.06)ˣ

Therefore; y = 1000·(1.06)ˣ

When the amount in the two accounts have the same amount of money, we get;

1000·(1.06)ˣ = 100·x + 1000

Therefore; (1.06)ˣ = (100·x + 1000)/1000 = 0.1·x + 1

(1.06)ˣ = 0.1·x + 1

Solving the above equation using the substitution method and graphing indicates that we get;

x = 0, and x ≈ 17.125732

Therefore, it takes about 17 years for the two accounts to have the same amount of money

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The fraction in form of sum or difference will be;

⇒ 11/6x + 5/6

A fraction is a part of whole number, and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called fraction. It can be written as the form of p : q, which is equivalent to p / q.

Given that;

The fraction is,

⇒ (11x + 5) / 6

Now,

Since, The fraction is,

⇒ (11x + 5) / 6

It can be written as;

⇒ (11x + 5) / 6

⇒ 11x/6 + 5/6

Thus, The fraction is written as;

⇒ 11/6x + 5/6

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Answer:

. similar, AAA QLK

Step-by-step explanation:

<K=<L base angle of isosceles triangle

<R=<S base angle of isosceles triangle

<KQL=<RQS vertically opposite angle

so

<K=<L=<R=<S

so

∆QRS~QLK by AAA axiom

Answer:

18

Step-by-step explanation: