Evaluate the expression when x=-6

Answer:

the correctanswer is 19

Answer:

0.5 or 1/2

Step-by-step explanation:

-1+3[(10-12)^3÷(-16)]

(10-12)^3÷(-16)

(-2)^3=-8

-8÷(-16)=0.5

Using compound interest, it is found that it will take 11.28 years for the the account to grow to $4500.

The compound interest formula is given by:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

A(t) is the amount of money after t years.

P is the principal(the initial sum of money).

r is the interest rate(as a decimal value).

n is the number of times that interest is compounded per year.

t is the time in years for which the money is invested or borrowed.

In this problem:

We have to solve for t when [tex]A(t) = 4500[/tex], thus:

[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]

[tex]4500 = 3000(1 + \frac{0.036}{12})^{12t}[/tex]

[tex](1.003)^{12t} = 1.5[/tex]

[tex]\log{(1.003)^{12t}} = \log{1.5}[/tex]

[tex]12t\log{1.003} = \log{1.5}[/tex]

[tex]t = \frac{\log{1.5}}{12\log{1.003}}[/tex]

[tex]t = 11.28[/tex]

It will take 11.28 years for the the account to grow to $4500.

A similar problem is given at https://brainly.com/question/24507395

Answer:

1 yard = 3 feet

We can re-write this by dividing both sides by yards or feet to get

1 = 3 feet / 1 yard

or

1 yard / 3 feet = 1

Since we're solving for feet we want yards to cancel, so use the top proportion

(3 feet / 1 yard)(100 yards) = 300 feet / 1 = 300 feet

Answer:

y=2.50+175*(x-1)

$4727.50

Step-by-step explanation:

y=2.50+175*(x-1)

The first km costs 2.50 which is why you add it. You do x-1 because the 175 is charged for each additional km. So, if you traveled one km it would cost 2.50.

y=2.5+175*(28-1)

y=2.5+175*27

y=2.5+4725

y=$4727.50

There was 4 boys and 11 girls in the class.

Let x represent the number of boys and y represent the number of girls.

Since the number of girls in the class was 1 less than 3 times the number of boys, hence:

y = 3x - 1

3x - y = 1         (1)

Also, there were 15 students in all, hence:

x + y = 15        (2)

Solving equations 1 and 2 simultaneously gives:

x = 4, y = 11

Hence, there was 4 boys and 11 girls in the class.

Find out more at: https://brainly.com/question/16763389

Answer:

5 cubes , so 5 cubic units

Step-by-step explanation:

There are 5 cubes in this figure.

Since each cube is a cubic unit, the answer is 5 cubic units.

-Chetan K

Answer:

-x-x-0.7

is equivalent to 1-2x-1.7

Answer:

19 keyboards

Step-by-step explanation:

Let d = thumb drives; and k = computer keyboards

Total number of sales of thumb drives and keyboards is 50

50 = d + k

Rearranged:

d = 50 - k

Total revenue from the sale of $24 thumb drives and $49 keyboards is $1675

1675 = 24d + 49k

Sub in d = 50 - k

1675 = 24(50 - k) + 49k

1675 = 1200 - 24k + 49k

475 = 25k

k = 475/25

k = 19

(To check, d = 50 - 19 = 31)

Answer:

tysm

Step-by-step explanation:

salamat sa points tysm

Answer:

umm wait

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

y=-x-6

Step-by-step explanation:

First, you have to distribute the - that is outside the parentheses. That leaves you with -x-4. So now your equation is y+2=-x-4. You want the y by itself so you subtract two from both sides leaving you with y=-x-4-2, which adds up to y=-x-6.

Answer:

(1,-9)

Step-by-step explanation:

During rotation anytime you rotate the figures the arrangement will change and also since you are rotating to 270 counter-clockwise(anti-clockwise)your answer will be (1,-9)

Answer: The correct answer is -1,9

Step-by-step explanation:

270 rule - (x, y) ⇒ (y, -x)

(-9, -1) ⇒ (-1, 9)

Probabilities are used to determine the chances of an event

(a) Probability that a person is sick

From the table, we have:

[tex]\mathbf{Sick = 59+1 = 60}[/tex]

So, the probability that a person is sick is:

[tex]\mathbf{Pr = \frac{Sick}{Total}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{60}{7500}}[/tex]

[tex]\mathbf{Pr = 0.008}[/tex]

The probability that a person is sick is: 0.008

(b) Probability that a test is positive, given that the person is sick

From the table, we have:

[tex]\mathbf{Positive\ and\ Sick=59}[/tex]

So, the probability that a test is positive, given that the person is sick is:

[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Sick}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{59}{60}}[/tex]

[tex]\mathbf{Pr = 0.9833}[/tex]

The probability that a test is positive, given that the person is sick is 0.9833

(c) Probability that a test is negative, given that the person is not sick

From the table, we have:

[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]

[tex]\mathbf{Not\ Sick = 75 + 7365 = 7440}[/tex]

So, the probability that a test is negative, given that the person is not sick is:

[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Not\ Sick}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7365}{7440}}[/tex]

[tex]\mathbf{Pr = 0.9899}[/tex]

The probability that a test is negative, given that the person is not sick is: 0.9899

(d) Probability that a person is sick, given that the test is positive

From the table, we have:

[tex]\mathbf{Positive\ and\ Sick=59}[/tex]

[tex]\mathbf{Positive=59 + 75 = 134}[/tex]

So, the probability that a person is sick, given that the test is positive is:

[tex]\mathbf{Pr = \frac{Positive\ and\ Sick}{Positive}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{59}{134}}[/tex]

[tex]\mathbf{Pr = 0.4403}[/tex]

The probability that a person is sick, given that the test is positive is: 0.4403

(e) Probability that a person is not sick, given that the test is negative

From the table, we have:

[tex]\mathbf{Negative\ and\ Not\ Sick=7365}[/tex]

[tex]\mathbf{Negative = 1+ 7365 = 7366}[/tex]

So, the probability that a person is not sick, given that the test is negative is:

[tex]\mathbf{Pr = \frac{Negative\ and\ Not\ Sick}{Negative}}[/tex]

This gives

[tex]\mathbf{Pr = \frac{7365}{7366}}[/tex]

[tex]\mathbf{Pr = 0.9998}[/tex]

The probability that a person is not sick, given that the test is negative is: 0.9998

(f) When a test is 99% accurate

The accuracy of test is the measure of its sensitivity, prevalence and specificity.

So, when a test is said to be 99% accurate, it means that the test is correct, and the result is usable; irrespective of whether the result is positive or negative.

Read more about probabilities at:

https://brainly.com/question/11234923

Answer:

d because it incresed by 50binstead of 13 12 and 23 percent

Answer:

it's odd

Step-by-step explanation:

sysysysy character limit

9514 1404 393

Answer:

  odd

Step-by-step explanation:

An odd function has the characteristics ...

An even function has the characteristics ...

__

The graph of the function shows symmetry about the origin. If we substitute -x for x, we get ...

  [tex]h(-x)=\dfrac{3(-x)^3}{8(-x)^2-9}=\dfrac{-3x^3}{8x^2-9}\\\\h(-x)=-\dfrac{3x^3}{8x^2-9}=-h(x)\qquad\text{the function is odd}[/tex]

_____

Additional comment

Both the numerator and denominator are polynomial functions. A polynomial function is odd if it contains only odd-degree terms, like the function in the numerator. A polynomial function is even if it contains only even-degree terms, like the function in the denominator. (A constant is 0 degree--even.)

A rational function consisting of the ratio of odd or even functions (not "neither"), will be odd or even according to the parity of the ratio:

  odd/odd = even/even = even function

  odd/even = even/odd = odd function . . . . . the situation in this problem

Answer:

the third one because it will make more sense

Step-by-step explanation:

Answer:

3x4=12 is the same as

4x3=12 and

12/3=4 and

12/4=3

The commutative property of multiplication is true for the expression 4 x 3 = 3 x 4 = 12.

Multiplication is one of four mathematical arithmetic operations.

It is also a process of adding the same types of expression for some number of times.

The repeated addition is multiplication.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

The commutative property of multiplication:

Let a and b are the two numbers.

And the product of a x b is n.

So,  a x b = b x a = n

Changing the numbers position does not affect the result.

Here,

3 x 4 = 4 x 3

12 = 12

This expression holds the commutative property of multiplication.

Therefore, 3 x 4 = 12 holds the commutative property.

To learn more about the multiplication;

https://brainly.com/question/19634536

#SPJ2

Where's the question? I think you forgot to post it.

Answer:

If the inequality is "strict" ( < or > ), we use an open dot to indicate that the endpoint of the ray is not part of the solution. For the other types of inequalities ( ≤ and ≥ ), we use a closed dot to indicate that the endpoint is part of the solution.

Step-by-step explanation:

Train 1 = x + 6.4

Train 2 = x

(x) + (x + 6.4) = 717.6

2x + 6.4 = 717.6

2x = 711.2

x = 355.6

Train 1 = 355.6 + 6.4 = 362 mph

Train 2 = 355.6 mph

Hope this helps!! :)

Answer: 33

Step-by-step explanation: Let x equal the shorter piece.

x + (x + 18) = 84

2x + 18 = 84

2x = 66

x = 33

Answer: the answer is 19

Step-by-step explanation:okay so she already have read 119 pages and the total pages is 271 so we substract 271-119=152 so she has 152 pages left so we divide 152 pages divided by 8 because she read 8 pages per hour so 152/8=19

Answer:

Hii, okay so the answer 48

Step-by-step explanation:

Just subtract, Hope this helps :)

Answer:

24 years old

Step-by-step explanation:

Given information:

• Alvin is 11 years older than Ella.

• The sum of Alvin and Ella's ages is 59.

First, put the given information into an equation that can solve for Ella's age:

x = Ella's age

x + 11 = Alvin's age

x + x + 11 = 59        Combine like terms.

2x + 11 = 59            Subtract both sides of the equation by 11 to isolate x.

2x = 48                   Divide both sides by 2 to get the value of x.

x = 24

Ella's age is 24 years old.