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Virty [35]
3 years ago
9

A bag of potatoes weighs 15 pounds. How many kilograms is this?​

Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

6.8 kg

Step-by-step explanation:

1 pound = 0.4536 kg

15(0.4536) = 6.804

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Calculate the value of (6.72 10^5)+ (3.2 x 10^4)<br> Give your answer in standard form.
dangina [55]

Answer:

7.04\cdot 10^{5} <em>or 704,000</em>

Step-by-step explanation:

<u>Standard Form of Numbers</u>

Any number that we can write as a decimal number between 1.0 and 10.0, multiplied by a power of 10, is said to be in Scientific Notation. Some authors consider standard form and scientific form as the same, but others state that standard form is the common form of expressing numbers, i.e., a sequence of digits, separated by thousands by a comma, and separated from the decimal part by a dot.

We'll give here both answers.

We have to calculate:

6.72\cdot 10^{5}+3.2\cdot 10^{4}

Since the numbers don't have the same exponent, we must make them equal. Let's make the second number have an exponent of 5, by dividing by 10:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+3.2/10\cdot 10^{5}

6.72\cdot 10^{5}+3.2\cdot 10^{4}=6.72\cdot 10^{5}+0.32\cdot 10^{5}

Now we add:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04\cdot 10^{5}

It's correctly expressed in scientific notation. Now to convert to 'standard form', multiply by 10^5=100,000:

6.72\cdot 10^{5}+3.2\cdot 10^{4}=7.04*100,000=704,000

7 0
3 years ago
Please help me with this.
JulijaS [17]

The <em>speed</em> intervals such that the mileage of the vehicle described is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h]

<h3>How to determine the range of speed associate to desired gas mileages</h3>

In this question we have a <em>quadratic</em> function of the <em>gas</em> mileage (g), in miles per gallon, in terms of the <em>vehicle</em> speed (v), in miles per hour. Based on the information given in the statement we must solve for v the following <em>quadratic</em> function:

g = 10 + 0.7 · v - 0.01 · v²      (1)

An effective approach consists in using a <em>graphing</em> tool, in which a <em>horizontal</em> line (g = 20) is applied on the <em>maximum desired</em> mileage such that we can determine the <em>speed</em> intervals. The <em>speed</em> intervals such that the mileage of the vehicle is 20 miles per gallon or less are: v ∈ [10 mi/h, 20 mi/h] ∪ [50 mi/h, 75 mi/h].

To learn more on quadratic functions: brainly.com/question/5975436

#SPJ1

3 0
2 years ago
Why do you multiply by a power of 10 when writing a repeating decimal as a rational number
stira [4]
1.28 = 128 * 10^-2

128 * (1/10^2)

128 / 10^2

128 / 100

1.28


Because, it's literally the same thing mathematically if you worked it out. Though, as I'm sure you're aware, it's just a much shorter and cleaner way of writing out large or small numbers.
8 0
4 years ago
Read 2 more answers
How much is a pie? thanks.
kaheart [24]
"Pi", written as π - is an irrational number.

π≈3.14
7 0
3 years ago
Read 2 more answers
Please explain the steps and how I can find the values!!
Xelga [282]

Answer:

a = 4.949

b = 4.949

c = 7

Step-by-step explanation:

c ( hypothenuse ) = 7

to find a, use sine

Sine = \frac{opposite}{hypothenuse\\}

Sine 45 = \frac{a}{7}

sine of 45 is 0.707

0.707 = \frac{a}{7}

multiplt 7 on both sides:

0.707 x 7 = \frac{a}{7} x 7

a = 4.949

to find b, use cosine

Cosine = \frac{adjacent}{hypothenuse}

Cos 45 = \frac{b}{7}

cos of 45 is 0.707

0.707 = \frac{b}{7}

multiply 7 on both sides:

0.707 x 7 = \frac{b}{7} x 7

b = 4.949

6 0
3 years ago
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