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GenaCL600 [577]
3 years ago
12

Please give me correct answer​

Mathematics
1 answer:
babunello [35]3 years ago
6 0

Answer:

  • 36 = 17+19 ---> They are twin primes and their sum is 36

  • 84 = 41+43 ---> They are twin Primes and sum is 84

  • 120 = 59+61 ---> They also are twin primes and their sum is 120

  • 144 = 71+73 ---> They are also twin primes and the sum is 144

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find the x intercept of the graph of the equation y equals -2.65 x + 25. what does the x intercept mean in terms of the situatio
natali 33 [55]
Ok so we can see for every 2 cups of medium coffee, the balance goes down 5.30$. So that means that for every coffee, her balance goes down 2.65$. Solving for the x-intercept means how many medium coffees can I get until my balance is 0. First, we have to find the y-int so it's easy. The slope is -2.65 because for every medium coffee, her balance goes down 2.65$. So we have y=-2.65x+b. Plugging in any point, I choose (4,14.40), we get 14.4 = -2.65 × 4 +b. Solving for b we get 25 for the y intercept, meaning the equation is y = -2.65x + 25 . To find the x intercept, we set y=0. So we have 0 = -2.65x+25. Solving for x we get approx. 9.4. We can't have decimals so we round down to 9. So the x int is ≈ 9.4 meaning we can only buy 9 coffee and have a little extra. But, if the problem said how many more coffees can she get, then here is how we do it. Since she already got 4 coffees, and the max is 9, we do 9-4 and we get 5, so she can buy 5 coffeed more.
3 0
3 years ago
Calculate the simple interest on a loan of $9000 at an interest rate of 8% for 6 years? PLEASE HELP MEEE​
andre [41]

Answer:

4320

Step-by-step explanation:

8 0
3 years ago
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The sum of two terms of gp is 6 and that of first four terms is 15/2.Find the sum of first six terms.​
Gnoma [55]

Given:

The sum of two terms of GP is 6 and that of first four terms is \dfrac{15}{2}.

To find:

The sum of first six terms.​

Solution:

We have,

S_2=6

S_4=\dfrac{15}{2}

Sum of first n terms of a GP is

S_n=\dfrac{a(1-r^n)}{1-r}              ...(i)

Putting n=2, we get

S_2=\dfrac{a(1-r^2)}{1-r}

6=\dfrac{a(1-r)(1+r)}{1-r}

6=a(1+r)                    ...(ii)

Putting n=4, we get

S_4=\dfrac{a(1-r^4)}{1-r}

\dfrac{15}{2}=\dfrac{a(1-r^2)(1+r^2)}{1-r}

\dfrac{15}{2}=\dfrac{a(1+r)(1-r)(1+r^2)}{1-r}

\dfrac{15}{2}=6(1+r^2)            (Using (ii))

Divide both sides by 6.

\dfrac{15}{12}=(1+r^2)

\dfrac{5}{4}-1=r^2

\dfrac{5-4}{4}=r^2

\dfrac{1}{4}=r^2

Taking square root on both sides, we get

\pm \sqrt{\dfrac{1}{4}}=r

\pm \dfrac{1}{2}=r

\pm 0.5=r

Case 1: If r is positive, then using (ii) we get

6=a(1+0.5)  

6=a(1.5)  

\dfrac{6}{1.5}=a  

4=a

The sum of first 6 terms is

S_6=\dfrac{4(1-(0.5)^6)}{(1-0.5)}

S_6=\dfrac{4(1-0.015625)}{0.5}

S_6=8(0.984375)

S_6=7.875

Case 2: If r is negative, then using (ii) we get

6=a(1-0.5)  

6=a(0.5)  

\dfrac{6}{0.5}=a  

12=a  

The sum of first 6 terms is

S_6=\dfrac{12(1-(-0.5)^6)}{(1+0.5)}

S_6=\dfrac{12(1-0.015625)}{1.5}

S_6=8(0.984375)

S_6=7.875

Therefore, the sum of the first six terms is 7.875.

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3 years ago
Need help with this asap
ipn [44]

Answer:

SSS

Step-by-step explanation:

All sides with the same amount of lines are congruent

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3 years ago
Which expressions are equivalent to the one below? Check all that apply.log(10^7)
maksim [4K]

The value of expression is 7.

<h3>What is expression?</h3>

An expression is a combination of numbers, variables, functions (such as addition, subtraction, multiplication or division etc.)

Given:

log 10^{7}

Now, using property of log

log b^{a} = a log b

So,

log 10^{7}= 7 log 10

As log 10 = 1

log 10^{7}= 7 (1)

log 10^{7}= 7

Learn more expression here:

brainly.com/question/14083225

#SPJ1

8 0
2 years ago
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