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4 years ago

Use the sequence {−1,171,875;−234,375;−46,875;−9375,…} to answer the question.

Mathematics

1 answer:

vlabodo [156]4 years ago

6 0

Answer: C

Step-by-step explanation:

the normal distribution is symmetric about its mean.

so answer c) must be true.

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Please solve attached problem. Find x and y. Thank You!

Sonja [21]

Answer:

Step-by-step explanation:

The attached diagram shows the given triangle labelled as triangle ABC. Line DE is parallel to line AB. It means that triangle DEC is similar to triangle ABC. Comparing the sides,

DC/DE = AC/AB

DC = 5

DE = 8

AC = 5 + x

AB = 10

Therefore,

5/8 = (5+x)/10

Cross multiplying

5 × 10 = 8(5 + x)

50 = 40 + 8x

8x = 50-40 = 10

x = 10/8 = 1.25

Similarly,

CE/DE = CB/AB

CE = 7

CB = 7 + y

DE = 8

AB = 10

Therefore

7/8 = (7+y)/10

Cross multiplying

7 × 10 = 8(7 + y)

70 = 56 + 8y

8y = 70 - 56 = 14

y = 14/8 = 1.75

6 0

4 years ago

Write the equation of the line that passes through (–2, 1) and is perpendicular to the line 3x – 2y = 5.

Eddi Din [679]

3x - 2y = 5
2y = 3x - 5
y = (3/2) x - 5/2

so the gradient (m) of the required line = -1 / (3/2) = -2/3

using the general form

y - y1 = m(x - x1) , m = -2/3 , x1 = -2 and y1 = 1

y - 1 = -(2/3) ( x - (-2))

y = -(2/3)x - 4/3 + 1

y = -(2/3)x - 1/3

multiply through by 3

3y = - 2x - 1

in standard form its

2x + 3y = -1

3 0

3 years ago

1+1 (Just making this so 2 people can get free points)

agasfer [191]

2!!! Is the answer thanks you

7 0

3 years ago

A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio

My name is Ann [436]

Answer:

The error that Adam could have made is added 45 to the depth of

submarine instead of adding -45

Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- That means it travels down another 45 meters

∵ Down means negative

∴ The depth of submarine = -200 + (-45) = -245 meters

∴ The depth of submarine is 245 below the surface of the ocean

- Adam could thought that the submarine traveled up for 45 meters

then he add 45 to -200

∵ -200 + 45 = -155 meters

∴ The error that Adam could have made is added 45 to the

depth of submarine instead of adding -45

3 0

4 years ago

Suppose that a household's monthly water bill (in dollars) is a linear function of the amount of water the household uses (in hu

dolphi86 [110]

Answer:

The monthly cost for 9 HCF is $38.54

Step-by-step explanation:

The graph is missing; however, the question can still be solved

Given

Slope = 1.55

When monthly cost = $47.84, Amount of water = 15 HCF

Required

Determine the monthly cost for 9 HCF

From the question, we understand that it is a linear function;

Linear functions are of the form

$y = mx + b$

Where y is the function of x and m is the slope

In this case; the function is the monthly water bill

and x is the amount of water

Solving for b

When monthly cost = $47.84, Amount of water = 15 HCF

The function is as follows;

$47.84 = 1.55 * 15 + b$

$47.84 = 23.25 + b$

Subtract 23.25 from both sides

$47.84 - 23.25= 23.25 - 23.25 + b$

$24.59 = b$

$b = 24.59$

Solving for the monthly cost for 9 HCF

Here, we have that

$x = Amount\ of\ water = 9$

$m = Slope = 1.55$

$b = 24.59$

Substitute these values in the linear function; $y = mx + b$

$y = 1.55 * 9 + 24.59$

$y = 13.95 + 24.59$

$y = 38.54$

Hence, the monthly cost for 9 HCF is $38.54

5 0

3 years ago