Casey is reading a book for a book report. At 3:30 P.M., he started reading where he had left off the day before. At 5:30 P.M. he was on page 160. At 8:00 P.M. he was on page 280. If reading the book is modeled by a linear function, what page did Casey start on at 3:30 P.M.?

Answers

Answer 1
Answer: To find the time Casey read today, 5:30 from 8:00.
8:00 - 5:30 = 2:30
Casey

To find the number of pages Casey read today subtract the page number he started reading on to the page he stopped on.
280 - 160 = 120
Casey read 120 pages today.

Now you need to find how many pages Casey read in one hour.

If Casey read 120 pages in 2.5 hours, you can find how many pages he read in one hour by dividing 120 by 2.5.
120 ÷ 2.5 = 48.
Casey read 48 pages in one hour.

Casey was on page 160 at 5:30, and you need to find what page he was on at 3:30. Since Casey read for 2 hours before he reached page 160, you need to subtract 2 hours worth of reading from that number.

160 - (2×48)
160 - 96
64


Casey was on page 64 at 3:30 pm today.

Answer 2
Answer: if he started reading from where he left off, and it's 5:30 and he is at page 160, and then he got to page 280 by 8:00, that is 2 hours and 30 minutes. so bring the reading time down into easier numbers so that 5-> 30 minute terms, then find out how many pages he read in 30 minutes. The difference between 160 pages and 280 pages is 120 pages. 120 divided by 30 equals 4. the amount of time between 3:30 and 5:30 is 2 hours which is 4-> 30 minute terms. So if it takes 30 minutes to read 4 pages then multiply 4 with 4 which equals 16, and finally subtract 16 from 160 and that's going to equal 144 pages.

(Sorry about the paragraph but i figured ide give you my reasoning and work just in case if i was wrong, ide like to know what i did if i am wrong. And if I'm right then that's how you show your work!)

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If x + 3 is a multiple of 3, which of thefollowing is not a multiple of 3?
(A) x
(B) x + 6
(C) 6x + 18
(D) 2x + 6
(E) 3x + 5

Answers

The answer is E because if x+3=0 then x=-1 which is the multiple of 3x-1
1)x
we have x so its -3
2)x+6
-3+6=3 its a multiple of 3 (3x1)
3)6x+18
6(-3)+18
0 is a multiple of 3 (3x0)
4)2x+6
2(-3)+6
0 is a multiple of 3
5)3x+5
3(-3)+5
-1 is not a multiple of 3


Answer:

If integer m is not a multiple of 3, which of the following must be true? ... of 2 let m=3K+2, (m+1)(m-1) = (3K+3)X(3K+1) is a not a multiple of 2

Step-by-step explanation:

m=4 or 5 satisfies the equation (m+1)(m-1) is a multiple of 3. Hence true.

m=4, (m+1)(m-1) = (4+1)(4-1)=15, not multiple of 2.

A hypothesis will be used to test that a population mean equals 10 against the alternative that the population mean is more than 10 with known Ï. What is the critical value of z-score for the following significance levels?A) 0.01
B) 0.05
C) 0.10

Answers

Answer:

A) 2.58

B) 1.96

C) 1.65

Step-by-step explanation:

A hypothesis used to test that

H_o : \mu  = 10

against the alternatives H1 : \mu not equal to 10

if null hypothesis is true, then distribution of test statics follow

Zo = (\bar x - \mu)/((\sigma)/(√(n)))

for two sided alternatives  hypothesis ( H1: \mu \neq 7), then P value is

P = 2[1- \phi(\left | Zc \right |)]                          (1)

a)significance level  \alpha = 0.01

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo<\left | Zc \right |) = 1 - (0.01)/(2)  = 0.995

Therefore  \left | Zc \right | = 2.58    FROM Z TABLE

B) significance level  \alpha = 0.05

from 1st equation we get

\pi (\left | Zc \right |) = P(Zo < \left | Zc \right |) = 1 - (0.05)/(2)  = 0.975

Therefore  \left | Zc \right | = 1.96    FROM Z TABLE

C) significance level  \alpha = 0.10

from 1 eq we get

\pi (\left | Zc \right |) = P(Zo<\left | Zc \right |) = 1 - (0.10)/(2)  = 0.95

Therefore  \left | Zc \right | = 1.65    FROM Z TABLE

Help me please!!! Please answer as soon as possible first right answer gets brainlyiest

Answers

Answer:

35, 100, 45

Step-by-step explanation:

Remember that the angles of a triangle add up to 180

This question is graciously giving you two answers right there, so A and C are easy

A is 35

C is 45

...but what is B?

This is how you find B:   180 - 35 - 45

B is 100

What is the correct value of log_(10)(3.5) ? Round your answer to two decimal places.

Answers

Answer: 3.5

Step-by-step explanation:

Log(10)(3.5) = 3.5

log(10)=1

1(3.5) = 3.5

Final answer:

The common logarithm, or log base 10, of 3.5 is about 0.544068. However, when rounded to two decimal places, it is 0.54.

Explanation:

The question is asking for the value of log_(10)(3.5). To find this, you would need to use a calculator that has a logarithm function. This value does not have a simple, exact decimal representation, but it can be approximated. Using a calculator, we find the common logarithm, or log base 10, of 3.5 to be approximately 0.54.

However, the question asks us to round this answer to two decimal places. So, using the rules of rounding numbers, we can round 0.544068 to 0.54.

Remember, when you're rounding numbers, if the digit after the place to which you're rounding is 5 or greater, you round up, otherwise, you round down.

Note: Before the days of calculators, we used log tables. Nowadays, we have a simple and easy way to calculate logs - calculators! If you are using a scientific or graphing calculator, there is typically a 'log' button that enables you to calculate logs at the push of a button.

Learn more about Logarithm here:

brainly.com/question/28346542

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Solve the ecuation:x=\frac{[x]+2012}{\{x\}+2013}

where [x] is the whole part of the number x and {x} is the fractional part of the number x.

Answers

Scrii x = [ x ] + { x } ;
Folosesti proprietatea fundamentala a proportiilor;
Apoi, exprimi [ x ] in functie de { x }, si obtii ca :
[ x ] = ( 2012 - { x } ^2 - 2013{ x } ) / ( 2012 + { x } ) ;
Fie { x } = t ∈ [ 0 , 1 ) ;
 Obtii ca [ x ] = - t - 1 + 4024 / ( t + 2012 ) ;
Stim ca [ x ] ∈ Z ;
Atunci t = 0 sau t = 2012 ;
Convine numai t = 0 => x = [ x ] ;
Ecuatia originala va avea solutia 1.

Bafta!

Simplify square root of negative 100.

Answers

The answer to this is 10i.
The answer would be 10 i. The square root of 100 is 10, since there is no such thing as taking the square root of a negative the imaginary notion is applied.