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1 year ago

How can you use division to find the decimal equivalent of a rational number ?

Mathematics

1 answer:

Naily [24]1 year ago

5 0

Answer:

Rational numbers' decimal representations either finish or repeat a pattern. Divide the top by the bottom, the numerator by the denominator to convert fractions to decimals, and if the division doesn't come out evenly, round off after a specific number of decimal places.

Step-by-step explanation:

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What is this equation simplified<br><img src="https://tex.z-dn.net/?f=%20%28%7Bx%7D%5E%7B3%7D%292" id="TexFormula1" title=" ({x}

SVEN [57.7K]

Answer:

2x³

Step-by-step explanation:

2x³

5 0

2 years ago

Scores on a certain IQ test are knownto have a mean of 100. A random sample of 43 students attend a series of coaching classes b

NeX [460]

Answer:

Part 1

Type II error

Part 2

No ; is not ; true

Step-by-step explanation:

Data provided in the question

Mean = 100

The Random sample is taken = 43 students

Based on the given information, the conclusion is as follows

Part 1

Since it is mentioned that the classes are successful which is same treated as a null rejection and at the same time it also accepts the alternate hypothesis

Based on this, it is a failure to deny or reject the false null that represents type II error

Part 2

And if the classes are not successful so we can make successful by making type I error and at the same time type II error is not possible

Therefore no type II error is not possible and when the null hypothesis is true the classes are not successful

6 0

2 years ago

Jackson and Jonah are both swimming. Jackson swims at 1350 meters per hour. Jonah swims at a speed of 1250 millimeters per secon

Vladimir [108]

For this question we will use the following relations.

100 centimeters=1 meter (or 1 centimeter= 0.01 meter)

10 millimeter=1 centimeter (or 1 mm=0.1 cm)

60 minutes = 1 hour (or 1 min= $\frac{1}{60}$ hour)

Now, Jackson's speed is 1350 meters per hour. This can be converted to cm per minute as follows:

$\frac{1350 m}{1 h}=\frac{1350\times 100 cm}{60 min}=2250 cm/min$ ...Equation 1

Likewise, Jonah's swim speed in cm/min can be calculated as:

$\frac{1250 mm}{1 s}=\frac{1250\times 0.1 cm}{\frac{1}{60}min } =\frac{125\times 60 cm}{1 min}=7500cm/min$ ...Equation 2

As we can see clearly after comparing Equation 1 and Equation 2, Jonah's swim speed of 7500 cm/min is faster than that of Jackson.

Thus, option B is correct.

7 0

2 years ago

Chris can make 8 shoes per hour on a good day. If a customer needs 24 shoes, how long will it take him to make the shoes?

Lunna [17]

Answer:

3 or more days depending on how his day is going

Step-by-step explanation:

8 0

2 years ago

Maths functions question!!

Marina86 [1]

Answer:

5) DE = 7 units and DF = 4 units

6) ST = 8 units

$\textsf{7)} \quad \sf OM=\dfrac{3}{2}\:units$

8) x ≤ -3 and x ≥ 3

Step-by-step explanation:

<u>Information from Parts 1-4:</u>

brainly.com/question/28193969

$f(x)=-x+3$

$g(x)=x^2-9$

A = (3, 0) and C = (-3, 0)

Points A and D are the <u>points of intersection</u> of the two functions.

To find the x-values of the points of intersection, equate the two functions and solve for x:

$\implies g(x)=f(x)$

$\implies x^2-9=-x+3$

$\implies x^2+x-12=0$

$\implies x^2+4x-3x-12=0$

$\implies x(x+4)-3(x+4)=0$

$\implies (x-3)(x+4)=0$

Apply the zero-product property:

$\implies (x-3)= \implies x=3$

$\implies (x+4)=0 \implies x=-4$

From inspection of the graph, we can see that the x-value of point D is <u>negative</u>, therefore the x-value of point D is x = -4.

To find the y-value of point D, substitute the found value of x into one of the functions:

$\implies f(-4)=-(-4)=7$

Therefore, D = (-4, 7).

The length of DE is the difference between the y-value of D and the x-axis:

⇒ DE = 7 units

The length of DF is the difference between the x-value of D and the x-axis:

⇒ DF = 4 units

To find point S, substitute the x-value of point T into function g(x):

$\implies g(4)=(4)^2-9=7$

Therefore, S = (4, 7).

The length ST is the difference between the y-values of points S and T:

$\implies ST=y_S-y_T=7-(-1)=8$

Therefore, ST = 8 units.

The given length of QR (⁴⁵/₄) is the difference between the functions at the same value of x. To find the x-value of points Q and R (and therefore the x-value of point M), subtract g(x) from f(x) and equate to QR, then solve for x:

$\implies f(x)-g(x)=QR$