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Wittaler [7]
3 years ago
9

If a fish is swimming 20 feet below the surface of the ocean and a bird flying directly overhead of the fish is 12 feet above th

e surface, how far apart are they?
Mathematics
1 answer:
kow [346]3 years ago
7 0

Answer:

32 feet

Step-by-step explanation:

The equation would be 12 - (-20)

                                       12 + 20 = 32

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Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solut
True [87]

Answer:

Inequality to represent given data is y ≥ 5.

No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.

Step-by-step explanation:

Enter an inequality that represents the phrase the sum of 1 and y is greater than or equal to 6. The inequality is y = 4 a solution.

i) therefore y + 1 ≥ 6

ii) therefore y ≥ 5

iii) No, y = 4 is not a solution, since 4 is not a value that falls within the domain of the solutions for the inequality.

3 0
3 years ago
Use the approach in Gauss's Problem to find the following sums of arithmetic sequences.
Svet_ta [14]

The total value of the sequence is  mathematically given as

498501

<h3>The sum of the sequence is..?</h3>

Generally, the equation for Gauss's Problem is  mathematically given as

The sum of an arithmetic series;

1+2+3+...+n= n(n+1)/2

Given an arithmetic sequence,

1+2+3+...+998,

Here,

n = 998

1+2+3+...+n=n(n+1)/2

1+2+3+...+998=98(998 + 1)/2

998 x 999 1+2+3+...+998 =2

1+2+3+...+998 = 498501

In conclusion, 498501 is the total value of the sequence.

Read more about sequence

brainly.com/question/21961097

#SPJ1

6 0
1 year ago
Which equations represent the line that is parallel to 3x − 4y = 7 and passes through the point (−4, −2)? Check all that apply.
DIA [1.3K]
Reta a:

3x-4y=7 \\ -4y=-3x+7 \\ 4y=3x-7 \\ y= \frac{3}{4}x- \frac{7}{4}

reta x:

y=ax+b

Retas paralelas possuem coeficientes angulares iguais ⇒ mₐ=mₓ

y= \frac{3}{4}x+b

(-4,-2)

\frac{3}{4}.(-4)+b=-2 \\ -3+b=-2 \\ b=-2+3 \\ b=1

∴ y=3/4x+1
8 0
3 years ago
An inhalation aerosol contains 225 mg of metaproterenol sulfate, which is sufficient for 300 inhalations. How many micrograms of
noname [10]

Answer:

Each inhalation has 750 micrograms of metaproterenol sulfate.

Step-by-step explanation:

First step: How many miligrams are there in each inhalation.This can be solved by a rule of three problem.

In a rule of three problem, the first step is identifying the measures and how they are related, if their relationship is direct of inverse.

When the relationship between the measures is direct, as the value of one measure increases, the value of the other measure is going to increase too.

When the relationship between the measures is inverse, as the value of one measure increases, the value of the other measure will decrease.

In this step, our measures are:

- The number of inhalations.

- The quantity inhaled.

As the number of inhalations increases, so does the quantity inhaled. This means that this is a direct rule of problem.

300 inhalations contains 225mg of metaproterenol sulfate. How many miligrams are in a inhalation?

300 inhalations - 225mg

1 inhalation - xmg

300x = 225

x = \frac{225}{300}

x = 0.75mg

Each inhalation has 0.75mg of metaproterenol sulfate.

Final step: Conversion of 0.75mg to micrograms.

Each mg has 1000 micrograms. So:

1mg - 1000 micrograms

0.75mg - x micrograms

x = 1000*0.75

x = 750 micrograms

Each inhalation has 750 micrograms of metaproterenol sulfate.

7 0
2 years ago
Write an expression for the perimeter of this pentagon. If the perimeter is 157 units, find x.
Nat2105 [25]

This the only option to find x since doing the other way like 3x + 2 = 3x + 2 gives it an infinite solution.

4x - 1 = 3x + 2

-3x       -3x

1x - 1 = 2

   +1    +1

1x = 3

---   ----

1       1

x = 3

Check:

4(3) - 1 = 3(3) + 2

12 - 1 = 9 + 2

11 = 11

4 0
3 years ago
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