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Oksana_A [137]
2 years ago
5

Heating oil is to be poured at the constant rate of 4.5 gallons per minute into a 400-gallon tank that already contains 115 gall

ons of heating oil. What fraction of the tank's total capacity will be full in 30 minutes?
Mathematics
1 answer:
kirill [66]2 years ago
3 0

Answer:

5/8

Step-by-step explanation:

The volume after 30 minutes is:

(4.5 gal/min) (30 min) + 115 gal = 250 gal

The fraction of total capacity is:

250 gal / 400 gal = 5/8

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What is the measure of YB?
pishuonlain [190]
The formula is
YC x YD = AY x YB

fill in what we know:

18 x 6 = 9 x YB

108 = 9 x YB

YB = 108 / 9

YB = 12
5 0
2 years ago
Dennis can type 65 words per minute. At this
Charra [1.4K]

Answer:

19 minutes

Step-by-step explanation:

just divide

8 0
2 years ago
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If x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3), then which statement is true? A. x + 12 ≤ 2(5 − y) B. x + 12 ≤ 2x − 3 C. x + 12 ≤ 2(x −
anyanavicka [17]

Answer: The correct option is,

C. x + 12 ≤ 2(x − 3)

Step-by-step explanation:

Given inequalities,

x + 12 ≤ 5 − y and 5 − y ≤ 2(x − 3)

Let a = x + 12, b = 5 - y and c = 2(x-3)

Here, a ≤ b and b ≤ c

Since, by using the transitive property of inequality,

⇒ a ≤ c

⇒ x + 12 ≤ 2(x − 3)

Therefore, OPTION C is correct.

7 0
2 years ago
Read 2 more answers
Given two vectors a⃗ =4.00i^+7.00j^ and b⃗ =5.00i^−2.00j^ , find the vector product a⃗ ×b⃗ (expressed in unit vectors). what is
FinnZ [79.3K]

The vector product of \boxed{a \times b =  - 43\hat k} and the magnitude of a \times b is \boxed{43}.

Further explanation:

Given:

Vector a is \vec a = 4.00\hat i + 7.00\hat j.

Vector b is \vec b = 5.00\hat i - 2.00\hat j.

Explanation:

The cross product of a \times b can be obtained as follows,

\begin{aligned}a \times b &= \left| {\begin{array}{*{20}{c}}{\hat i}&{\hat j}&{\hat k} \\4&7&0\\5&{ - 2}&0 \end{array}}\right|\\&= \hat i\left( {0 - 0} \right) - \hat j\left( {0 - 0} \right) + \hat k\left( { - 9 - 35} \right)\\&= 0\hat i - 0\hat j - 43\hat k\\&= - 43\hat k\\\end{aligned}

The vector can be expressed as follows,

a \times b =  - 43\hat k

The magnitude of a \times bcan be obtained as follows,

\begin{aligned}\left| {a \times b} \right| &= \sqrt {{0^2} + {0^2} + {{\left( { - 43} \right)}^2}}\\&= \sqrt {{{43}^2}}\\&= 43\\\end{aligned}43404

The vector product of \boxed{a \times b =  - 43\hat k} and the magnitude of a \times b is \boxed{43}.

Learn more:

  1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Vectors

Keywords: two vectors, vector product, expressed in unit vectors, magnitude, vector a, vector b, a=4.00i^+7.00j^, b=5.00i^-2.00j^, unit vectors, vector space.

8 0
2 years ago
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The profit earned by a sporting goods outlet is modeled in the graph below, where x is the number of years since the outlet open
LenaWriter [7]

The domain would be x ≥ 0.

This is because the outlet cannot have profit before it was open. Therefore, the growth must be from year 0 to present. If they give a year as starting, you can have an upper limit too, but there is not enough information here to determine that information.

4 0
2 years ago
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