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3 years ago

What is the least prime number that is a divisor N? N = (13 X 17) + (19 X 23)

Mathematics

1 answer:

Levart [38]3 years ago

6 0

Answer:

Step-by-step explanation:

13 x 17=221

19 x 23=437

437+221=658

658 divided by 2= 329

2 is prime and the least

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Mai biked 6 and 3/4 miles today, and Noah biked 4 and 1/2 miles. How many times the length of Noah's bike ride was Mai's bike ri

Daniel [21]

Answer:

2/3 times as far

Step-by-step explanation:

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3 years ago

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State the domain restriction(s) in interval notation of \displaystyle f\left(g\left(x\right)\right)f(g(x)) given: \displaystyle

DENIUS [597]

Answer:

The interval notation for the domain is $[\frac{23}{3},\infty ]$ .

Step-by-step explanation:

Consider the provided information.

It is given that $\:f\left(x\right)=\sqrt{3x-2},\:\text{ and }\:g\left(x\right)=x-7$

We need to find the value of $f\left(g\left(x\right)\right)$ .

Put the value of g(x) in $f\left(g\left(x\right)\right)$ .

$f\left(g\left(x\right)\right)=f(x-7)$ ....(1)

Now, put x=x-7 in $\:f\left(x\right)=\sqrt{3x-2}$

$\:f\left(x-7\right)= \sqrt{3(x-7)-2}$

$\:f\left(x-7\right)= \sqrt{3x-21-2}$

$\:f\left(x-7\right)= \sqrt{3x-23}$

From equation 1.

$f\left(g\left(x\right)\right)=\:f\left(x-7\right)= \sqrt{3x-23}$

The domain of the function is the set of input values for which a function is defined.

Here, the value of $3x-23$ should be greater or equal to 0 as the square root of a negative number is not real.

Domain= $3x-23\geq0$

$x\geq\frac{23}{3}$

The value of x is all real number greater than $\frac{23}{3}$ .

Hence, the interval notation for the domain is $[\frac{23}{3},\infty ]$ .

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3 years ago

A triangular portion of a baseball field is marked as shown below. To the

Illusion [34]

Answer:

D. 1.6 yd

Step-by-step explanation:

Use the law of sines.

$\dfrac{c}{\sin C} = \dfrac{a}{\sin A}$

$\dfrac{c}{\sin 28^\circ} = \dfrac{2~yd}{\sin 36^\circ}$

$c = \dfrac{2~yd \times \sin 28^\circ}{\sin 36^\circ}$

$c = 1.6~yd$

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3 years ago

Sam ran 3 1/4 miles on Tuesday and then ran 2 5/6 miles on Wednesday. How many total miles did Sam run ?

julsineya [31]

Answer:

6 1/12 miles total

Step-by-step explanation:

3 1/4 = 13/4

2 5/6 = 17/6 to ADD fractions, you must have a common denominator

I will use 12 for these

13/4 = 39/12

17/6 = 34 /12

now you can add and simplify 39/12 + 34/12 = 73/12 = 6 1/12 miles

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2 years ago

Is the following statement true or false?

a_sh-v [17]

Yes it is true that when you write a check you must write the amount to be paid in both numbers and words for security purposes

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3 years ago

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