Timothy purchased a computer for $1,000.


The value of the computer depreciates by 20% every year.


This situation represents [a.) exponential decay, b.) exponential growth]


The rate of growth or decay, r, is equal to [c.) 0.8, d.) 1.2, e.)0.2

year.


So the value of the computer each year is [f.) 20 %, g.) 80%, h.) 120%] of the value in the previous year.


It will take [i.) 3, j.) 2, k.) 4, l.) 5.] years for the value of the computer to reach $512.

Answer:

28. B

29. D

30. A

Step-by-step explanation:

28.

2 5/8 yd × 5/6 yd =

= 21/8 × 5/6 yd²

= 105/48 yd²

= 35/16 yd²

= 2 3/16 yd²

Answer: B

29.

2641 becomes 6241.

In 6241, the 6 is in the thousands place.

6 × 1000 = 6000

Answer: D

30.

90 + 7 × (7 - 1) =

Use the correct order of operations.

= 90 + 7 × 6

= 90 + 42

= 132

Answer: A

Answer:

1. 3/4; 75%

2. 0.6; 6%

3. 18/25;0.72

Step-by-step explanation:

Answer:

See the answers below

Step-by-step explanation:

Name two characteristics of the Fibonacci Series that you observed. ​

If we take a closer look at the Fibonacci series, we will notice the following characteristics

1.The next number is the sum of the two preceding numbers

2. Another interesting characteristic is evidenced in the convergence of the sequence

The new coordinates after translating 2 units right and 1 unit down are D'(-3,0), H'(-2,4) and S'(1,1) respectively.

Given, triangle DHS has the coordinates D(-5, 1), H(-4, 5) and S(-1, 2). Now, we have to find the coordinates of D'H'S' if DHS is translated 2 units right and 1 unit down.

A translation is a transformation that occurs when a figure is moved from one location to another location without changing its size, shape or orientation. In the coordinate plane we can draw the translation if we know the direction and how far the figure should be moved.

To translate the point P(x,y), 'a' units right and 'b' units down, use P′(x+a,y-b).

Now, let's proceed to solve the question according to above listed points accordingly.

D(-5, 1), H(-4, 5) and S(-1, 2), these coordinates are translated 2 units right and 1 unit down. So, we will simply add 2 to the x-coordinate of the points and will subtract 1 from the y-coordinate.

Let's translate D, H and S accordingly into D', H' and S'.

D(-5,1)⇒ D(-5+2, 1-1)⇒ D'(-3,0)

H(-4,5)⇒ H(-4+2, 5-1)⇒ H'(-2,4)

S(-1,2)⇒ S(-1+2, 2-1)⇒ S'(1,1)

Therefore, the new coordinates after translation are D'(-3,0), H'(-2,4) and S'(1,1) respectively.

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Answer: 23.76 sq yds

Step-by-step explanation:

0.5*9.9*4.7=23.76

Area of triangle: 0.5*b*h

Answer:

B (-3,-4)

Step-by-step explanation:

2/5 is a positive trend starting at -2.

y=-4 starts on the y-axis and goes horizontal.

Answer:

The correct option (c) "is held together by ionic bonds".

Step-by-step explanation:

Table salt is NaCl. It is a combination of Sodium and Chlorine.

There is 1 valance electron in sodium. Its electronic configuration is 2,8,1

The electronic configuration of Chlorine is 2,8,7. It means that it needs 1 electron so that its octet gets completed.

Na transfers one electron to Cl. It becomes Na⁺. Cl gains one electron From Na. It becomes Cl⁻.

As a resuslt, Na⁺ and Cl⁻ forms. Both Na and Cl are ions. They held together by ionic bonds.

Answer:

54

Step-by-step explanation:

What I would do is multiply 12x4 first to get 48, then after I'd multiply 12x1/2 to get 6 then I'd add them together to get 54.

A) The algebraic expression will be 12d + 7 = 91

B) He drives 7 miles per day to work.

For 11 days straight, Ms. Chung drove the same distance every day going to and coming from work.

The distance she drove on Saturday was; 0.9 miles.

The number of miles she drives per day:

84 miles/12

= 7 miles per day

Let the number of miles she travels be day = d

12d + 7 = 91 miles

12d + 7 = 91

12d = 91 - 7

12d = 84

d = 84/12

d = 7 miles per day

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Check the picture below.

so the parabolic path of the object is more or less like the one shown below in the picture, now this object has an initial of 1240 ft, as it gets thrown from the ski lift, so from 0 seconds is already higher than 1000 feet.

\(h=-16t^2+32t+1240\hspace{5em}\stackrel{\textit{a height of 1000 ft}}{1000=-16t^2+32t+1240} \\\\\\ 0=-16t^2+32t+240\implies 16t^2-32t-240=0\implies 16(t^2-2t-15)=0 \\\\\\ t^2-2t-15=0\implies (t-5)(t+3)=0\implies t= \begin{cases} ~~ 5 ~~ \textit{\LARGE \checkmark}\\ -3 ~~ \bigotimes \end{cases}\)

now, since the seconds can't be negative, thus the negative valid answer in this case is not applicable, so we can't use it.

So the object on its way down at some point it hit 1000 ft of height and then kept on going down, and when it was above those 1000 ft mark  happened between 0 and 5 seconds.

Answer: x = 8

Step-by-step explanation: PLEASE GIVEBRAINLIEST IT HELPS ALOT

Answer:

x=8

Step-by-step explanation:

Follow the order of operations to simplify the equation:

5(x-3) +2x=41  

Start by multiplying into the parenthesis: 5x-15+2x=41

Combine like terms: 5x+2x-15=41 then simplify: 7x-15=41

Add 15 to both sides: 7x=56

Divide both sides by 7 to get x by itself: x=8

Hope this helps! (^-^)

Answer:

6 months

Step-by-step explanation:

We can set up an equation based on his monthly savings to find out how long it will take for Hatif to reach $630 in his account.

Let's assume it takes Hatif "n" months to reach $630 in his account. Each month, he saves $80.

The equation representing the situation is:

$150 + $80n = $630

Now, let's solve for "n":

$80n = $630 - $150

$80n = $480

n = $480 / $80

n = 6

Therefore, it will take Hatif 6 months to reach $630 in his account.

g(x) is a translation of 6 units downwards.

Here we have the function:

y = f(x) = 3x + 1

Notice that the y-intercept of f(x) is:

f(0) = 3*0 + 1 = 1

The y-intercept of f(x) is y = 1.

Now, we know that the y-intercept of g(x) is -5. then:

g(x) = 3x - 5 = f(x) - 6

Meaning that g(x) is a translation of 6 units downwards.

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Answer:

translated 2

units up

g(x)= f(x-2)

Step-by-step explanation:

Answer:I think it's 8.702 L

Step-by-step explanation:

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

Since we are not given a graph, we will use the attached graph as a reference:

The equation of a line is expressed as y = mx + b

m is the slope

b is the y-intercept

Get the slope of the line

\(m = \frac{0-(-2)}{-2-0}\\m=\frac{2}{-2}\\m = 1\)

Since the line suts the y-axis at y = -2, hence b = -2

Get the equation of the line:

Recall that y = mx + b

y = x + (-2)

y = x - 2

Next is to check if the coordinate (5, 10) lies on the line

If x = 5

y = x - 2

y = 5 - 2

y = 3

Since y is not equal to 10, hence the coordinate point does not fall on the line graph.

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This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

What are functions ?

In mathematics, a function is a rule that maps each element in a set (the domain) to a unique element in another set (the range). It is a relation between a set of inputs and a set of possible outputs with the property that each input is related to exactly one output. Functions are commonly represented using function notation, where the symbol "f" is used to represent the function, and the input value is placed inside parentheses. For example, if the function takes the input "x" and returns the output "y"

According to the question:
To prove algebraically that g(x) = f(x), we need to show that the expressions for g(x) and f(x) are equivalent for all values of x. That is, we need to show that:

2x²+3x-1 = x²-3

We can start by simplifying both sides of the equation:

2x²+3x-1 - (x²-3) = 0

Simplifying the left side, we get:

2x²+3x-1 - x²+3 = x²+3x+2

Now we can simplify the right side:

x²+3x+2 = (x+1)(x+2)

Substituting this expression back into the equation, we get:

2x²+3x-1 - x²+3 = (x+1)(x+2)

Simplifying the left side again, we get:

x²+3x-4 = (x+1)(x-4)

Now we have:

(x+1)(x-4) = (x+1)(x+2)

We can cancel out the factor of (x+1) from both sides, since it is not equal to zero for any value of x:

x-4 = x+2

Subtracting x from both sides, we get:

-4 = 2

This is a contradiction, so our original assumption that g(x) = f(x) must be false. Therefore, the solution is not true algebraically.

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Answer:

a. No

b. Yes

c. No

Step-by-step explanation:

a. For BC and B'C to both be parallel to the y-axis when BC is parallel to the y-axis the figure must be rotated by a multiple of 180 degrees.

b. When you rotate a figure none of the angles in the figure change.

c. For D and D' to have the same coordinates the figure must be rotated by 360.

Answer:

9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Step-by-step explanation:

An integer that has 12, 20, and 28 as factors must be divisible by the least common multiple (LCM) of these numbers. The LCM of 12, 20, and 28 is 420. So we need to find the number of integers between 2023 and 5757 that are divisible by 420.

The first integer greater than or equal to 2023 that is divisible by 420 is 5 * 420 = 2100. The last integer less than or equal to 5757 that is divisible by 420 is 13 * 420 = 5460. So the integers between 2023 and 5757 that are divisible by 420 are 2100, 2520, ..., 5460. This is an arithmetic sequence with a common difference of 420.

The number of terms in this sequence can be found using the formula for the nth term of an arithmetic sequence: an = a1 + (n - 1)d, where an is the nth term, a1 is the first term, d is the common difference, and n is the number of terms. Substituting the values for this sequence, we get:

5460 = 2100 + (n - 1)420 3360 = (n - 1)420 n - 1 = 8 n = 9

So there are 9 integers between 2023 and 5757 that have 12, 20, and 28 as factors.

Answer:

35.6

Step-by-step explanation:

By the Pythagorean Theorem:

\( {x}^{2} + {91.3}^{2} = {98}^{2} \)

\(x = \sqrt{ {98}^{2} - {91.3}^{2} } = 35.6\)

Answer:

k= -9 or k=3

Step-by-step explanation:

|-3-k|=6

add three on both sides

|-k|=9

k=-9

|-3-k|=6

plug in -3 for k

|-3--3|=6

two negatives equal a positive

|3+3|=6

k=3

Answer:

-9 and 3

Step-by-step explanation:

|-3-k|=6

|-6|=6 and |6|=6, therefore ;

-3-k = can be 6 and -6

-3-k =6 → -k = 9

k = -9

-3-k = -6→ -k = -3

k = 3

Hope this helps ^-^

The exponential function giving the number of bacteria after x hours is given as follows:

\(y = 250(2)^x\)

An exponential function has the definition presented according to the equation as follows:

\(y = ab^x\)

In which the parameters are given as follows:

The parameter values for this problem are given as follows:

a = 250, b = 2.

Hence the function is given as follows:

\(y = 250(2)^x\)

The problem asks for the exponential function giving the number of bacteria after x hours is given as follows:

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The expressions that are equivalent to 3^8 are:

We have to solve these out

3^8. = 6561

From the options

A. 3^2x3^4

= 9 x 81

= 729

B  3²x3^6

= 9 x 729

= 6561

C.  3^16/3^2

= 43046721/9

= 4782969

d. 3^12/3^4

= 531441 / 81

= 6561

E.  (3^4)²

= 3⁴ x 3⁴

= 3⁴⁺⁴

= 3⁸

= 6561

F. (3¹)^7

= 3⁷

= 2187

The expressions that are equivalent to 3^8 are:

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Answer:

21.161

Step-by-step explanation:

use Pythagoras theorem ti find your slant height

then you use your formula which

\(1 \3\pi {r }^{2} h\)

Answer:

y=5

y int

x=0

y=2(0)^2-8(0)+5

y=5

note everything multiplied by 0 is 0

Answer:

96

Step-by-step explanation:

Surface area=2*Area of triangle+Area of different rectangular strips

Surface area=2*(1/2)*(48)+2*8+2*6+2*10=48+48=96

The mortality rate will be 180 per 100000 people.

From the information, 595,700 Americans died of (all forms of) cancer and there is a population of 321 million.

Therefore the mortality rate will be:

= 595700 / 321 million

= 0.0018

Therefore the mortality rate will be 180 per 100000 people.

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Check the picture below.

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ triangle }{\cfrac{1}{2}(26)(17)}~~ + ~~\stackrel{ rectangle }{(26)(9)}}\implies 221+234\implies \text{\LARGE 455}\)

The solution to the compound inequality 2x + 6 ≤ 8 or 2x + 8 > 12 is x ≤ 1 or x > 2.

Given that;

2x + 6 ≤ 8 or 2x + 8 > 12

First, simplify the first part of the inequality.

2x + 6 ≤ 8

Subtract 6 from both sides

2x + 6 - 6 ≤ 8 - 6

2x ≤ 8 - 6

2x ≤ 2

x ≤ 2/2

x ≤ 1

Next, simply the second part of the inequality.

2x + 8 > 12

Subtract 8 from both sides

2x + 8 - 8 > 12 - 8

2x > 4

x > 4/2

x > 2

Hence, we have;

x ≤ 1 or x > 2

The solution to the compound inequality 2x + 6 ≤ 8 or 2x + 8 > 12 is x ≤ 1 or x > 2.

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