solve for x 4 - (x + 2) < -3(x + 4)

Answer:

1.646×10¹¹ km³.

Step-by-step explanation:

From the question given, we obtained the following information:

Radius (r) = 3400 km

Volume (V) =.?

The shape of a planet is spherical in nature. Thus, we shall apply the formula for calculating the volume of a sphere to obtain the volume of Planet Mar as illustrated below:

Radius (r) = 3400 km

Pi (π) = 3.14

Volume (V) =.?

Volume of a sphere = 4/3 πr³

V = 4/3 × 3.14 × (3400)³

V = 4/3 × 3.14 × 3.9304×10¹⁰

V = 1.646×10¹¹ km³

From the calculations made above, the volume of Planet Mar is 1.646×10¹¹ km³

Answer:

$531.31

round to the nearest cent is round to 2 decimal places

Answer:

537.31 hope this helps you out

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses.

To compute the expected value of the proposal, we need to calculate the amount profited or lost (X) by the company on the warranties and the probability (P(X)) of each outcome.

Now, we have,

The product doesn't fail within 2 years, and the company earns $50 from the warranty.

The product fails within 2 years, and the company incurs a replacement cost of $1200 but keeps the $50 warranty fee.

The probability of the product not failing within 2 years is 1 - 0.05 = 0.95,

and the probability of the product failing within 2 years is 0.05.

Now, we have to find the expected value (E(X)):

[tex]E(X) = P(X_1) * X_1 + P(X_2) * X_2[/tex]

Where:

[tex]P(X_1)[/tex] = Probability of the product not failing within 2 years = 0.95

[tex]X_1[/tex] = Amount profited when the product doesn't fail within 2 years = $50

[tex]P(X_2)[/tex] = Probability of the product failing within 2 years = 0.05

[tex]X_2[/tex] = Amount lost when the product fails within 2 years = -$1150 (Replacement cost of $1200 - $50 warranty fee)

E(X) = 0.95 * $50 + 0.05 * (-$1150)

E(X) = $47.50 - $57.50

E(X) = -$10

The expected value of the proposal is -$10. This means that, on average, the company can expect to lose $10 per warranty sold.

Interpretation of the expected value:

The expected value of -$10 indicates that, on average, for every 2-year warranty sold, the company can expect to lose $10. This means that the proposal is not a profitable venture for the company. The replacement costs of the 5% of failed products are higher than the revenue generated by selling the warranties and cannot cover the potential losses. As a result, the company might want to reconsider the pricing of the warranty or look for other ways to reduce the potential costs associated with the product failures.

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Answer:

(x² + 18) units²

Step-by-step explanation:

Area of a rectangle = l*w

There are two shaded rectangles found inside the large rectangle. Let us represent the smaller shaded one as Rectangle 1, the bigger shaded rectangle as Rectangle 2.

Below are the dimensions and area if each of them:

Rectangle 1 (small shaded rectangle):

l = x

w = x

Area = x * x = x² units²

Rectangle 2 (bigger shaded rectangle):

l = 9

w = 2

Area = 9*2 = 18 units²

Total area of the shaded rectangles = x² + 18 = (x² + 18) units²

Answer:

Step-by-step explanation:

Density = mass/volume = 20/6.47

Answer:

The answer is 60 degrees.

Step-by-step explanation:

The three angles in any triangle add up to 180 degrees.

You know by the box at the bottom right that it's a right triangle and therefore that angle is 90 degrees. They also give you the 30 degree angle at the bottom left. So:

90 degrees + 30 degrees = 120 degrees.

180 degrees (total) - 120 degrees (first 2 angles) = 60 degrees (missing angle)

Hope this helps!

Answer:

angle 1

Step-by-step explanation:

all others are congruent

Answer:

( -4, 7 )

Step-by-step explanation:

The difference between (2,3) and (-1,5) is (-3,2)

Because (-3,2) is the length of half the line we need to add that figure to M to get point S

(-1,5) plus (-3,2) is (-4,7)

Answer: (4.01, -3.05)

Step-by-step explanation:

Use the midpoint formula (x1+x2/2,y1+y2/2)

-3.1 + -4.92 /2 =4.01

-2.8 + -3.3 /2 = -3.05

(4.01, -3.05)

We'll use the following log rules

================================================

Part 1

-------------

Work Shown:

Ln(100) = Ln(4*25)

Ln(100) = Ln(2*2*5*5)

Ln(100) = Ln(2)+Ln(2)+Ln(5)+Ln(5) ... using log rule 1

Ln(100) = a+a+c+c

Ln(100) = 2a + 2c

================================================

Part 2

-------------

Work Shown:

Ln(2.4) = Ln(24/10)

Ln(2.4) = Ln[ (2*2*2*3)/(2*5) ]

Ln(2.4) = Ln[ (2*2*3)/5 ]

Ln(2.4) = Ln(2*2*3) - Ln(5) ... using log rule 2

Ln(2.4) = Ln(2)+Ln(2)+Ln(3) - Ln(5) .... using log rule 1

Ln(2.4) = a+a+b-c

Ln(2.4) = 2a+b-c

================================================

Part 3

-------------

Work Shown:

Ln(0.003) = Ln(3/1000)

Ln(0.003) = Ln[ 3/( 10^3) ]

Ln(0.003) = Ln(3) - Ln(10^3) ... log rule 2

Ln(0.003) = Ln(3) - 3*Ln(10) ... log rule 3

Ln(0.003) = Ln(3) - 3*Ln(2*5)

Ln(0.003) = Ln(3) - 3*( Ln(2) + Ln(5) ) ... log rule 1

Ln(0.003) = b - 3*( a + c )

Ln(0.003) = b - 3a - 3c

Ln(0.003) = -3a + b - 3c

================================================

Part 4

-------------

Work Shown:

All logs shown for this part are in base 2

log(5400) = log(54*100)

log(5400) = log(6*9*4*25)

log(5400) = log(2*3*3*3*2*2*5*5)

log(5400) = log(2^3*3^3*5^2)

log(5400) = log(2^3)+log(3^3)+log(5^2) ... log rule 1

log(5400) = 3*log(2)+3*log(3)+2*log(5) ... log rule 3

log(5400) = 3a + 3b + 2c

Answer:

True

Step-by-step explanation:

Supplementary angles always equal to 180 degrees, and the sum of 130 and 50=180 degrees.

Answer:

1/5

Step-by-step explanation:

You have to do whats in the parentheses first then you start doing to exponets from left to right then you would multiply then you would get your answer 1/5.

Answer:

13.6

Step-by-step explanation:

Answer:

1.276 × 10-7 12.76 × 10-6 1.276 × 107 0.1276 × 108.

Step-by-step explanation:

Answer:

20r-23p

Step-by-step explanation:

Step-by-step explanation:

g(x) = f(2x), so g(x) is f(x) compressed by a factor of 2.

So if the domain of f(x) is [1, 5], then the domain of g(x) is [1/2, 5/2].

Answer:

3

Step-by-step explanation:

Answer: the third on i think

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

becuse  8 is in a day and the only thing could be 0 becuse in a hour you might not get much in an hour cuz an day is 24 hours but there might be a chance to be 1 but its mostly 0.

answer

212 - 147 = () times 3.75

147 × 4.25 =

add them together and that's the total amount

Answer: 3 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

(8 - 0)/(0 + 8)= 8/8= 1

y - 0 = x + 8

y = x + 8

Answer:

B 32

Step-by-step explanation:

30 oranges would be required to maintain the same ratio with 20 apples.

In the example fruit basket, there are 2 apples for every 3 oranges, based on the provided ratio.

We must establish a proportion in order to determine how many oranges are required to keep the same ratio with 20 apples.

Let "x" stand for the required quantity of oranges.

The ratio can be configured as follows:

20 apples/x oranges = 2 apples/3 oranges.

Cross-multiplication allows us to find the value of "x":

3(20) = 2x

2x = 60

x = 30

As a result, 30 oranges would be required to maintain the same ratio with 20 apples.

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Answer:

5) m∠DEF = 18

Step-by-step explanation:

I cant answer the rest because they require a protractor

Answer:

2:3

Step-by-step explanation:

24:36

24÷12=2

36÷12=3

Answer=2:3

Answer:

2 : 3

Step-by-step explanation:

24/36 ?

[tex] \frac{24}{36} \div \frac{12}{12} \\ = \frac{24 \div 12}{36 \div 12} \\ = \frac{2}{3} [/tex]

2/3 = 2 : 3

Answer:

3p + 2s = c

Step-by-step explanation:

He ordered 3 pork tacos so it would be 3 times p and he ordered 2 steak tacos so it would be s times 2

Answer:5 is the answer

Step-by-step explanation:

3p+2s+5

Answer:

1/16ft²

Step-by-step explanation:

If 26 rolls fits into 1 5/8 ft² pan, then for us to get the number of square feet for each roll, we will fillw the steps;

26rolls = 1 5/8ft²

1 roll = xft²

26 rolls = 13/8 ft²

1roll = xft²

Cross multiply

26×x = 1×13/8

26x = 13/8

Ceoaa multiply

26x×8 = 13

208x = 13

x =13/208

x = 1/16 ft²

Hence the baker uses 1/16ft² for each roll

Answer:

<MLK

<EFH

<KLJ

Step-by-step explanation:

Each Is At A Right Angle, I Just Answered This On My Quiz.

Answer:

Step-by-step explanation:

(15 -5)/(8 - 3)= 10/5 = 2

y - 5 = 2(x - 3)

y - 5 = 2x - 6

y = 2x - 1