The width of a rectangle is 7t-1.5 feet and the length is 1.5t + 8 feet. Find the perimeter of the
rectangle.
The perimeter of the rectangle is feet.

Explanation is in the file

tinyurl.com/wpazsebu

Answer:

The population in 2015 will be 165 million.

Step-by-step explanation:

The exponential growth formula is given by:

[tex] f(t) = a(1 + r)^{\Delta t} [/tex]

Where:

a: is the initial population

r: is the rate of increase

Δt: is the time        

With the initial information we can find the rate:

[tex] 151 = 145(1 + r)^{1998-1990} [/tex]      

Using logarithm:                                    

[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]  

[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]                        

[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]          

Using exponential:          

[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]

[tex] r = 5.081 \cdot 10^{-3} [/tex]        

Now, we can find the estimated population in 2015:

[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]              

[tex] f(t) = 165 [/tex]              

Therefore, the population in 2015 will be 165 million.

I hope it helps you!

The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.

That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:

10 = 2(8) + b We need to solve for b.

10 = 16 + b

b = -6

Answer:

8a + ab + 5

Step-by-step explanation:

1. a + 7a+3ab-2ab-1+6

2. combine like terms

(a + 7a) + (3ab - 2ab) + (-1+6)

8a + ab + 5

Answer:

8a + ab + 5

Step-by-step explanation:

combine like terms. like term have same variables

a and 7a  ; 3ab and (-2ab) ; (-1) and 6 are like terms

a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5

Answer:

Step-by-step explanation:

x² - 7x - 30 = 0

x² + 3x - 10x - 30 = 0

x ( x + 3 ) - 10 ( x + 3 ) = 0

( x - 10 ) ( x + 3 )

x = 10 , -3

Answer:

-3 and 10

Step-by-step explanation:

[tex]f(x)=x^2-7x-30[/tex]

1) Factor the equation

First, find two factors of -30 which has a sum of -7.

⇒ These two factors are 3 and -10.

Then, write the equation as a product of two binomials.

[tex]f(x)=(x+3)(x-10)[/tex]

2) Find the zeros

The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:

x+3=0

x=-3

or

x-10=0

x=10

Therefore, the zeros of the function are -3 and 10.

I hope this helps!

Answer:

Need more points lang sorry

Answer:

a^2-16

Step-by-step explanation:

you just a.a+a.-4+4.a+4.-4=a^2-16

Answer:

Let's talk through this a one step at a time.

*Since f(x) is concave-up with its vertex on the x-axis, we know f(x) ≥ 0.

*We also know that when we shift a function's domain by a positive number, we shift the function left and when we shift a function's domain by a negative number, we shift the function right. So f(x-5) is f(x) shifted to the right by 5.

*At this point, f(x-5) has its vertex at (5,0).

*When we negate f(x-5), the parabola becomes concave down yet the vertex remains at (5,0). Now we're at -f(x-5). At this point we have -f(x-5)≤0 with a range (-∞,0]

*If we add 2 to create g(x)=2-f(x-5), then we have a concave down parabola with its vertex shifted up by 2, at (5,2). So, g(x) is concave down with its vertex at (5,2). Hence

A) Always

In a perfect sphere the centre is an equal distance from any point from the surface.

THANK YOU!!

∝ Sidhdi

Answer:

200 feet

Step-by-step explanation:

Answer:

0.3 with the 3 being repeated

Answer:

D) 128

Step-by-step explanation:

4(0.5)^-5

4(32)

128

Answer:

I have made it in above picture

Answer:

2 A.)

1) 3-4x+8x^2-6+2x-5x^2

2) 8x^2-5x^2-4x+2x+3-6

3) 3x^2-2x-3

B.) 3x-5-7x^2+2+6x^2+5x

Step-by-step explanation:

please mark brainiest

please give 5 stars

thank you

Answer:

abcd

Step-by-step explanation:

efg

Answer:

in triangle BCD

relationship between base and hypotenuse is given by cos angle

cos 71=b/h

cos71=BD/BC

cos71=67/x

x=67/cos71=205.8ft.

the length of BC to the nearest tenth of a foot is 206ft.

Answer:

since inscribed angle is half of the central angle

x²+22=2(x²+3)

x²+22=2x²+6

22-6=2x²-x²

16=x²

x=√16=±4

determine the value(s) of x=±4

Answer:

12. 524 in³ (3 sig. fig.)   13. 2000 cm³ (3 sig. fig.)

Step-by-step explanation:

12. Volume of sphere = (4/3)πr³

= 500/3π

= 524 in³ (3 sig. fig.)

13. Volume of cylinder = πr²h

= 7²π(13)

= 637π

= 2000 cm³ (3 sig. fig.)

Answer:

Step-by-step explanation:

Answer:

x = 53

Step-by-step explanation:

x = 53 (Vertically Opposite Angles)

Answer:

The last one.

Step-by-step explanation:

If you can't see or there's something you don't understand you can ask:) Good luck and I hope it helps.

"just do it"- adidas

just yolo it

Answer:

72/96

Step-by-step explanation:

Answer:

Sorry I don't know this language

Answer:

mean is the average value in the list.

first you add all number, then divide that value by the total number in the list

lets say (2,3,4,5)

you add 2+3+4+5 = 15 / 4

4 is the count

you'll get the average.

medium is the middle value in the list, but you should list from least to greatest

mode is repeated value in the list

Answer:

Step-by-step explanation:

The "mean" is the "average" you're used to, where you add up all the numbers and then divide by the number of numbers. The "median" is the "middle" value in the list of numbers.

The median is the value separating the higher half of a data sample, a population, or a probability distribution, from the lower half. In simple terms, it may be thought of as the "middle" value of a data set. For example, in the data set {1, 3, 3, 6, 7, 8, 9}, the median is 6, the fourth number in the sample. The median is a commonly used measure of the properties of a data set in statistics and probability theory.

The mode is the value that appears most often in a set of data. The mode of a discrete probability distribution is the value x at which its probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

Answer:

$179.2

Step-by-step explanation:

7% of 2,560 is 179.2

Answer:

B.20

Step-by-step explanation: