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3 years ago

3,425,645 rounded to the nearest hundred thousand

Mathematics

1 answer:

Ivan3 years ago

3 0

Answer:

3,400,000

Step-by-step explanation:

refer to attached for reference

in our case, the digit in the hundred thousands place is the number 4.

How we round this digit depends on the digit directly to the right of it (i.e the ten-thousands place).

If the digit to the right is less than 5, then leave the digit in the hundred thousands place the same and make everything else to the right zeros.

if the digit to the right is 5 or greater, then increase the digit in the hundred thousands place by 1 and then make everything else to the right zeros.

in our case, the digit to the right of the hundred thousands place is the number 2, this is less than 5, so we leave 4 the same and make everything esle to the right zero.

i.e. 3,400,000

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3<br> Which expression is closest in value to 5.66?

Free_Kalibri [48]

Let's consider the standard and usually used value of irrational numbers given in the question.

It is asked to see which is closed to 5.66

So, let's see the options:

A) GiveN:

$\dfrac{\pi}{2} + \pi$

Let consider π = 3.14

$\dfrac{3.14}{2} + 3.14$

$1.57 + 3.14$

$4.71 \: (approx.)$

B) GiveN:

$2\pi - 1$

Here also, let's consider the value be 3.14

$2 \times 3.14 - 1$

$6.28 - 1$

$5.28 \: (approx.)$

C) GiveN:

$4 \sqrt{2}$

Let's consider the value of √2 be 1.414

$4 \times 1.414$

$5.6516 \: (approx.)$

D) GiveN:

$8 - \sqrt{3}$

Let's consider the value of √3 be 1.732

$8 - 1.732$

$6.268 \: (approx.)$

So, we can see that we have got the approximate value of all the numericals, and the closest to 5.66 is 5.6516 which is the answer of Option C.

So, Correct answer is C

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3 years ago

Which of the following correlation coefficients would correspond to a strong linear relationship in a data set?

Alik [6]

The answer would be... B 0.5

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3 years ago

Need help with #1 #4 #7 plz giving 15 points

valentina_108 [34]

Answer:

Q1: p = - 33

Q2: d = - 99

Q3: t = - 13

Step-by-step explanation:

Q1: $$ \textbf{-} \frac{\textbf{p}}{\textbf{3}} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{8} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{3}$

We solve this taking LCM.

We get: $\frac{-p - 24}{3} = 3$

$\implies - p - 24 = 9$

$\implies \textbf{p} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 33}$

Q4: $\frac{\textbf{d}}{\textbf{11}} \hspace{1mm} \textbf{-} \hspace{1mm} \textbf{4} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 13}$

Again we proceed like Q1 by taking LCM.

We get: $\frac{d - 44}{11} = - 13$

$\implies d - 44 = - 13 \times 11 = - 143$

$\implies d = - 143 + 44$

$\implies \textbf{d} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 99}$

Q7: 5t + 12 = 4t - 1

We club the like terms on either side.

$\implies 5t - 4t = - 1 - 12$

$\implies (5 -4)t = - 13$

$\implies \textbf{t} \hspace{1mm} \textbf{=} \hspace{1mm} \textbf{- 13}$

Hence, the answer.

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3 years ago

3. Today, Dahlia folded 29 paper cranes. Now there are 41 paper cranes in class. How many cranes were there in class yesterday?

ohaa [14]

Answer:

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Step-by-step explanation:

41-29=12.

29*10=290

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2 years ago

Fred and Frank play a game. Fred picks an even number X and asks Frank to add all even numbers between 0 and X (inclusive) as fa

TiliK225 [7]

Answer:

The even numbers between 0 and X represents an arithmetic sequence with a common difference of 2

The rule of arithmetic sequence = a + d(n - 1)

Where a is the first term and n is the number of terms

So, for the even numbers between 0 and X

The first term = a = 0

d = 2

So, we need to find n at the last term which is X

∴ X = 0 + 2 ( n -1 )

∴ n - 1 = X/2

∴ n = X/2 + 1

The sum of the arithmetic sequence = (n/2) × (2a + (n−1)d)

Substitute with a and d and X

So, the sum = (n/2) * (2*0 + (n−1)*2)

= (n/2) * ((n−1)*2)

= n(n-1)

= (X/2 + 1) * (X/2)

= X/2 by (X/2 + 1)

So, The quick way to add all even numbers between 0 and X always works.

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3 years ago