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2 years ago

5

ake and Nico both measured their thumbs. Jake’s thumb is 55 millimeters long. Nico’s thumb is 5.7 centimeters long. Who has the

longer thumb? Explain how you know.

1 answer:

qaws [65]2 years ago

6 0

Answer:

Nico

Step-by-step explanation:

We have to convert both to the same units! Think about the units: we have millimeters and centimeters. There are 10 millimeters in a centimeter, so

55 mm = 5.5 cm

We just had to move the decimal point!

Now compare the two measurements in cm. 5.5 and 5.7: which is greater? Look at the tenths place: 5<7, so 5.7 is greater and Nico’s thumb is longer!

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jeka57 [31]

Well now she has $4.25 lol. She had $4 then, now she has $4.25.

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2 years ago

What is the range of the function y = e Superscript 4 x

Alborosie

Answer:

A. Less than zero

Step-by-step explanation:

So If you graph the function, you'll see that it never actually crosses the y axis into the third or fourth quadrant, the quadrants where all y values become negative.

The answer A is also correct on Edge

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2 years ago

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Ratio as a fraction 12:36

poizon [28]

Step-by-step explanation:

$12:36=\dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}$

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2 years ago

Read 2 more answers

Using the binomial theorem , obtain the expansion of :

andrezito [222]

Answer:

see explanation

Step-by-step explanation:

Expand both factors and collect like term

Using Pascal' triangle with n = 6 to obtain the coefficients

1 6 15 20 15 6 1

Decreasing powers of 1 from $1^{6}$ to $1^{0}$

Increasing powers of 3x from $(3x)^{0}$ to $(3x)^{6}$

$1+3x)^{6}$

= 1. $1^{6}$ $(3x)^{0}$ + 6. $1^{5}$ $(3x)^{1}$ + 15. $1^{4}$ $(3x)^{2}$ + 20. $1^{3}$ $(3x)^{3}$ + 15.1² $(3x)^{4}$ + 6. $1^{1}$ $(3x)^{5}$ + 1. $1^{0}$ $(3x)^{6}$

= 1 + 18x + 135x² + 540x³ + 1215 $x^{4}$ + 1458 $x^{5}$ + 729 $x^{6}$

--------------------------------------------------------------------------------------

$(1-3x)^{6}$

= 1. $1^{6}$ $(-3x)^{0}$ + 6. $1^{5}$ $(-3x)^{1}$ + 15. $1^{4}$ $(-3x)^{2}$ + 20. $1^{3}$ $(-3x)^{3}$ + 15.1² $(-3x)^{4}$ + 6. $1^{1}$ $(-3x)^{5}$ + 1. $1^{0}$ $(-3x)^{6}$

= 1 - 18x + 135x² - 540x³ + 1215 $x^{4}$ - 1458 $x^{5}$ + 729 $x^{6}$

----------------------------------------------------------------------------------

Collecting like terms from both expressions

$(1+3x)^{6}$ + $(1-3x)^{6}$

= 2 + 270x² + 2430 $x^{4}$ + 1458 $x^{6}$

----------------------------------------------------

(2)

Using Pascal's triangle with n = 5

1 5 10 10 5 1

Decreasing powers of 1 from $1^{5}$ to $1^{0}$

Increasing powers of 2x from $(2x)^{0}$ to $(2x)^{5}$

$(1+2x)^{5}$

= 1. $1^{5}$ $(2x)^{0}$ + 5. $1^{4}$ $(2x)^{1}$ + 10. $1^{3}$ $(2x)^{2}$ + 10. $1^{2}$ $(2x)^{3}$ + 5. $1^{1}$ $(2x)^{4}$ + 1. $1^{0}$ $(2x)^{5}$

= 1 + 10x + 40x² + 80x³ + 80 $x^{4}$ + 32 $x^{5}$

8 0

2 years ago

Eddie Hibbs earns a gross income of $42,300 a

Maslowich

Using proportions, it is found that his tax rate is of 28.84%.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

His tax rate is the proportion that the <u>deductions are of the total salary</u>, hence:

12,200/42,300 = 0.2884 = 28.84%.

Hence his tax rate is of 28.84%.

More can be learned about proportions at brainly.com/question/24372153

#SPJ1

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1 year ago