the length of a rectangle is 8 centimeters. what is the width?​

Answer:

width = 64 inches

lenght = 76 inches

Step-by-step explanation:

2(x + 12) + 2x = 280

2x + 24 + 2x = 280

4x = 280 - 24

4x = 256

x = 256/4

x = 64

Answer:

x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]

Step-by-step explanation:

In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio.

For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.

-----

Let's take r=ratio of the geometric sequence

in first term, x is multiplied by  [tex]r^{0}[/tex]

First term:                   x [tex]r^{0}[/tex]

Second term: 4x+3 = x [tex]r^{1}[/tex]

Third term:     7x+3 = x [tex]r^{2}[/tex]

From the last 2 equation, we have to obtain r and x values.

Second equation - First equation:

3x = x r (r - 1)

Let's state: x different from 0, so we can simplify x, obtaining:

3 = [tex]r^{2}[/tex] - r

0 = [tex]r^{2}[/tex] - r - 3

r =  [tex]\frac{1+\sqrt{13} }{2}[/tex]  (only the positive value of r counts)

so, going to second term of the sequence:

4x+3 = x [tex]r^{1}[/tex] => x (4 - [tex]\frac{1+\sqrt{13} }{2}[/tex] ) = -3

x ([tex]\frac{7+\sqrt{13} }{2}[/tex] ) = -3  =>  x =  [tex]\frac{-6}{7+\sqrt{13}}[/tex]

hope it helps..

Answer:

1. 50℅

2. 25℅

3. 60℅

hope it helps.

Answer:

Below.

Step-by-step explanation:

1. Divide 15 by 30 which is  1/2.

Then multiply 1/2 by 100 = 50%.

2.  3/12 = 1/4

1/4 * 100 = 25%

3.  6/10 = 0.6

0.6 * 100 = 60%.

Answer:

Love you

Step-by-step explanation:

Answer:

x=75

Step-by-step explanation:

[tex]We\ are\ given\ that:\\AD\ is\ the\ altitude\ of\ \triangle ABC\\Hence,\\ADC=90[As\ altitudes\ intersect\ the\ base\ side\ at\ 90]\\Hence,\\As\ ADC=(x+15)\ and\ ADC=90\\x+15=90\\x=90-15\\x=75[/tex]

This is only the value of x in terms of AD being an altitude, and is independent off the sides.

Answer:

B.

Step-by-step explanation:

B. table B has 2 y values for one x, and that makes it not a function but a relation / equation.

The amount to invest on  January 1st so that you have $1000 by June 1st of the same year is $992.54

What is monthly compounding?

Monthly compounding means that the interest is computed every month, in essence, the interest in January, March and May would be 1% divided by 12 months in a year whereas the interest in February, April, would be 3% divided 12 months making a year.

FV=PV*(1+r1)*(1+r2)*(1+r3)+(1+r4)*(1+r5)

FV=the future value June 1st of the same year=$1000

PV=the amount that needs to be invested=unknown

r1=January interest rate=1%/12=0.00083333333333

r2=February interest rate=3%/12=0.0025

$1000=PV*(1+0.00083333333333

)*(1+0.0025

)*(1+0.00083333333333

)*(1+0.0025

)*(1+0.00083333333333

)

$1000=PV*1.00752085996961

PV=$1000/1.00752085996961

PV=$992.54

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1.) Choice B

p= b+h+c

SA= bh + pl

p=15+20+25 = 60

SA= 15(20) + 60(30) = 2100

2.) Choice D

V= lwh

V= (40)(22)(23.5)

V= 20680

1 liter = 1000cm^3

   1L       =     x    

1000cm      20680

x= 20.7 liters

3.) Choice B

V= (1/3)a^2(h)

V= (1/3)9^2(6.5)

V= 175.5

4.) I don't know this

Answer:

I think it would be C.

Step-by-step explanation:

One is positive Four is negative so is 1+(-4)

Let y = f(x)

f(x) = sin x

g(x) = (2x^2 + 3x - 4)

Use the chain rule.

We want y' = f' (g(x)) • g'(x).

y' = cos(2x^2 + 3x - 4) • (4x + 3)

Done.

Answer:

85

Step-by-step explanation:

if ur adding 5 on that side then you would have to subtract on the other.

Answer:

440

Step-by-step explanation:

I learned with parenthesis if its like this 4(7)

It usually means to multiply

soo

88 times 5

=440

soo

88

Answer:

the standard deviation of the critical path is 8

Step-by-step explanation:

The computation of the standard deviation of the critical path is shown below:

As we know that

Variance = Standard deviation^2

Now the variance of the critical path is

= Variance 1 + variance 2 + variance 3 + variance 4

= 4^2 + 4^2 + 4^2 + 4^2

= 64

Now the standard deviation would be

= √64

= 8

hence, the standard deviation of the critical path is 8

Answer:

h - g goes with 3, gh goes with 2, g squared minus h goes with 5, g - h goes with 1, g + h goes with 3, and g + h squared goes with 6. The numbers are the options.

Step-by-step explanation:

Not much to say. Just remember that squared numbers can't be negative.

Answer:

-10

Step-by-step explanation:

Because it's counting down by 4s so the mid would be 10 between the -12 and -8

Answer:

A(-8, 2)

Step-by-step explanation

Answer: A

Step-by-step explanation: (-8, 2)

Answer:

|x - 13| = 5

Step-by-step explanation:

Think of absolute value as a distance. For example, |5| can be written as |5 - 0| = 5 since the distance between 5 and zero on the number line is 5. Also, |-5| which is the same as |-5 - 0| is also 5 since the distance between -5 and zero on the number line is 5.

Since you want an absolute value equation with solutions 8 and 18, think of which number is the same distance from both 8 and 18 on the number line? Find the average of 8 and 18, (8 + 18)/2 = 13. 13 is the same distance from both 8 and 18. 13 is 5 units away from both 8 and 18. Now you need an equation that is looking for the numbers x which are 5 units distance from 13.

|x - 13| = 5

[tex]\displaystyle\\Answer:\ y=\frac{8}{3}x-5[/tex]

Step-by-step explanation:

(0,-5)      (3,3)

Equation of a straight line:

[tex]\displaystyle\\\frac{x-x_1}{x_2-x_1} =\frac{y-y_1}{y_2-y_1} \\\\x_1=0\ \ \ \ x_2=3\ \ \ \ y_1=-5\ \ \ \ y_2=3\\\\Hence,\\\\\frac{x-0}{3-0} =\frac{y-(-5)}{3-(-5)}\\\\\frac{x}{3} =\frac{y+5}{3+5} \\\\\frac{x}{3} =\frac{y+5}{8} \\[/tex]

Multiply both parts of the equation by 24:

[tex](8)(x)=(3)(y+5)\\8x=(3)(y)+(3)(5)\\8x=3y+15\\8x-15=3y+15-15\\8x-15=3y[/tex]

Divide both parts of the equation by 3:

[tex]\displaystyle\\\frac{8}{3}x-5=y[/tex]

Answer:

5

Step-by-step explanation:

this is basic algebra so it's important to understand this concept now. you need to combine like terms so 3x-6=9 becomes 3x=15 (you add the 6 to add like terms). You then divide the 3 from 3x on both sides to get x=5

The value of x makes the equation 3x - 6 = 9 true is: x = 5.

Here, we have,

given that,

the equation is: 3x - 6 = 9

so have,

3x-6=9

We need to combine like terms

=> 3x = 9 + 6

(we add the 6 to add like terms).

becomes, => 3x=15

we then divide the 3 from on both sides

=> 3x/3 = 15/3

we get

=> x=5

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See attachment for the scatter plot created using the graphing calculator

The table of values is given as

Time, t         0        1      1.5       2.5    3  

Height, h    280   264   244    180   136

Next, we enter the above values in a graphing calculator to create the scatter plot

See attachment for the scatter plot created using the graphing calculator

From the graphing calculator, we have

h = -16t^2 + 280

This means that

h = 0

So, we have

-16t^2 + 280 = 0

Divide through by -16

So, we have

t^2 - 17.5 = 0

This gives

t^2 = 17.5

Take the square roots

t = 4.18

Hence, the sponge will hit the ground after 4.18 seconds

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Complete question

The table shows the heights h(in feet) of a sponge t seconds after it was dropped by a window cleaner on top of a skyscraper

Time, t         0        1      1.5       2.5    3  

Height, h    280   264   244    180   136

A. Use a graphing calculator to create a scatter plot

B. Find the best fitting quadratic model for the data

C. Use your model to predict when the sponge will hit the ground

Answer: Charles drove 84 miles

Step-by-step explanation:

(c)harles = 3 x (e)mily

e + c = 112

Since Charles is 3x Emily, we can plug in 3e instead of c

e + 3e = 112

4e = 112

e = 112/4

e = 28

Emily drove 28 miles, and Charles drove 3x that, so Charles drove

28 x 3 = 84

Answer:

[tex] RT = 1.1 [/tex]

Step-by-step explanation:

Distance between R(3, 1.3) and T(3, 2.4):

[tex] RT = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] RT = \sqrt{(3 - 3)^2 + (2.4 - 1.3)^2} [/tex]

[tex] RT = \sqrt{(0)^2 + (1.1)^2} [/tex]

[tex] RT = \sqrt{0 + 1.21} = \sqrt{1.21} [/tex]

[tex] RT = 1.1 [/tex]

Answer:

A) Mean = 135 Variance = 62 Standard Deviation = 8

Step-by-step explanation:

Given that :

Proportion (p) = 54%

Sample size (n) = 250

Using Normal approximation :

Mean = np

Mean = 250 * 0.54 = 135

Variance = npq ; q = 1 - p = 1 - 0.54 = 0.46

Variance = (250 * 0.54 * 0.46) = 62.1 = 62

Standard deviation = √variance = √62.1

Standard deviation = 7.8803553 = 8

Answer:

The answer is 1/6y+1/6(y+12)-2

Step-by-step explanation:

I used a math calculator.

Answer:

1/3y+1/3(6-y)

∫f(x)dx=43x3−3x2+7x+Cf(x)=4x2−6x+7∫f(x)dx=∫(4x2−6x+7)dx=4⋅∫x2dx−6⋅∫xdx+7⋅∫1dx=4x33−6x22+7x11+C=43x3−3x2+7x+C

Answer:

14 or 11

Step-by-step explanation:

because 14 is more than 11 and the question asks how many people it feeds not how many people can it feed out the people there

Answer:

I Believe It Will Feed 154 People

Step-by-step explanation:

Because 1 Fruit Cake feeds 11 people so I did 11*14

She said a delicious FRUITCAKE that

serves 11 people. Then she said there are 14 FRUITCAKES.

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