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ratelena [41]
3 years ago
7

Solve: log4(7t + 2) = 2

Mathematics
1 answer:
IRISSAK [1]3 years ago
3 0

Answer:

The required value of t is equal to 2

Step-by-step explanation:

We need to solve the following expression :

\log_4(7t+2)=2

Now, using the base rule :

2=\log_4(4^2)\\\\\implies 2= \log_4(16)

Now, using this value of 2

\log_4(7t+2)=2\\\\\implies\log_4(7t+2)=\log_4(16)\\\\\implies 7t+2=16\\\\\implies 7t=16-2\\\\\implies 7t=14\\\\\implies t = 2

Hence, The required value of t is equal to 2

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On a test that has a normal distribution, a score of 60 falls two standard deviations above the mean, and a score of 42 falls on
Sergeu [11.5K]

Answer:

48

Step-by-step explanation:

Given that:

A  \ score  \ of \  60  \ falls \  two  \ standard   \ deviations \  above \  the \ mean \\ \\ A \  score \ of \ 42  \ falls \  one  \ standard  \ deviation \ below  \ the \ m ean

The interval for score = 60 - 42 = 18

If we divide it by the 3 standard deviations; the interval result into

= 18/3

= 6

So, the standard deviation is 6, and the mean = 42 + 6

= 48

7 0
3 years ago
Read 2 more answers
How long will it take to earn $252 in interest if $1200 is invested at 7% annual rate interest?
bogdanovich [222]
 it takes 3 years.formula interest =PRT/100 so its 252 =1200 times 7 times T all over 100 then multiply by 100 both sides to get 25200=8400T devide by 8400 both sides to get 3


7 0
3 years ago
Please Help!
alisha [4.7K]

Diagonal of the parallelogram divides the parallelogram in to two equal areas.

So area of parallelogram = 2(area of triangle)

According to the given diagram,

AB= 8, AD = 5 and BD = 11

So according to the Heron's formula,

Area of triangle = \sqrt{s(s-a)(s-b)(s-c)}\\\\where,\\ s =\frac{a + b + c }{2}

and a, b and c are the three sides of the triangle

Area of triangle ABD =s=\frac{8 + 5 + 11}{2} \\\\s = \frac{24}{2}\\\\s = 12Area of triangle ABD = \sqrt{12(12 - 8) (12 - 5) (12 - 11)}\\\\Area of triangle ABD = \sqrt{12(4) (7) (1)}\\\\Area of triangle ABD = \sqrt{336}\\\\Area of triangle ABD = 18.33

So, area of parallelogram ABCD = 2(area of triangle ABD)

area of parallelogram ABCD = 2 (18.33)

area of parallelogram ABCD = 36.66

area of parallelogram ABCD = 36.7 sq. units

6 0
3 years ago
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drek231 [11]

Answer:

y = -1x -3

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ME!!!! i dont get this at all
daser333 [38]
Just divide the number that is biggest by 2 and you should get the answers for example #1 10÷2=5, #2 1÷2=0.5 #3 0.01÷2=0.005
5 0
4 years ago
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