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3 years ago

Solve seven 2/3-1 2/4+3 6/8 choose the numbers to complete complete the next number numbers may be used once or not at all

Mathematics

1 answer:

Bezzdna [24]3 years ago

8 0

Answer:

9 11/12

Step-by-step explanation:

Solve 7 2/3-1 2/4+3 6/8

We are to the above fractions

7 2/3 - 1 2/4 + 3 6/8

The Lowest Common Denominator = 24

(7 - 1 + 3) + ( 2/3 - 2/4 + 6/8)

9 + (16 - 12 + 18/24)

9 + 22/24

9 11/12

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A detective finds a victim of murder at 9 am. At that time, the temperature of the body is 90.3 degrees F. One hour later, the b

LekaFEV [45]

Answer:

Step-by-step explanation:

Given

at 9 am temperature of the body is $90.3^{\circ}F$

1 hr later temperature $89^{\circ}F$

Temperature of room $T=68^{\circ}F$

According to newtons law

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-T_{room}\right )$

$\frac{\mathrm{d} T}{\mathrm{d} t}=-k\left ( T-68\right )$

$\frac{dT}{T-68}=-kdt$

Integrating

$=\int \frac{dT}{T-68}=-kdt$

$\ln |T-68|=-kt+c$

$T-68=Ae^{-kt}$

Now at 9 am i.e. t=0,

$90.3=A+68$

$A=22.3$

At 10 am i.e. t=1 hr T=89

$89-68=22.3e^{-k}$

$e^{-k}=21$

$k=0.06006$

Temperature of Normal human body is $T=98.6 ^{\circ}F$

$98.6-68=e^{-0.06006t}$

$30.6=e^{-0.06006t}$

Taking log both sides

$t=-5.27$

i.e. 5 hr and 16.2 min

i.e. victim murdered at 3 am and 43.8 min

7 0

3 years ago

What are the factors of 2x^2 + 5x -12?

Andrews [41]

Answer:

(2x - 3) • (x + 4)

Step-by-step explanation:

Step 1 :

Equation at step 1 :

(2x2 + 5x) - 12

Step 2 :

Trying to factor by splitting the middle term

2.1 Factoring 2x2+5x-12

The first term is, 2x2 its coefficient is 2 .

The middle term is, +5x its coefficient is 5 .

The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 2 • -12 = -24

Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is 5 .

-24 + 1 = -23

-12 + 2 = -10

-8 + 3 = -5

-6 + 4 = -2

-4 + 6 = 2

-3 + 8 = 5

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -3 and 8

2x2 - 3x + 8x - 12

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (2x-3)

Add up the last 2 terms, pulling out common factors :

4 • (2x-3)

Step-5 : Add up the four terms of step 4 :

(x+4) • (2x-3)

Which is the desired factorization

3 0

3 years ago

Find the distance between the points ( - 9, - 12) and (18, - 12)

ANTONII [103]

Hello from MrBillDoesMath!

Answer:

Discussion:

By the distance formula (or Pythagorean theorem)

distance = sqrt ( (change in x)^2 + (change in y)^2)

In our case this becomes

distance = sqrt ( (18 - (-9) )^2 + (-12 - ( -12))^2)

= sqrt ( ( 18 + 9) ^2 + ( -12 + 12) ^ 2)

= sqrt ( ( 18 + 9) ^2 + 0^2 )

= sqrt ( 27^2)

= 27

Geometrically, as both y coordinates = -12, the points define a horizontal line segment. The length is then simply the difference of the x coordinates, 18 - (-9) = 18 +9 = 27. Same answer as before

Thank you,

MrB

4 0

3 years ago

Ian is a phycologist interested in determining the proportion of algae samples from a local rivulet that belonged to a particula

pickupchik [31]

Answer: 16590

Step-by-step explanation:

The formula we use to find the sample size is given by :-

, where p = prior estimate of population proportion.

$z^*$ = Critical z-value (Two- tailed)

E= Margin of error .

Let p be the population proportion of cyanobacteria.

Given : E = 0.01

Critical value for 99% confidence interval : $z^*=2.576$

If Ian does not want to rely on previous knowledge , then we assume p=0.5 because the largest standard error is at p=0.5.

Now, the required sample size = $n=0.5(1-0.5)(\frac{2.576}{0.01})^2$

$n=0.25(257.6)^2=0.25(66357.76)=16589.44\approx16590$

Required sample size = 16590

5 0

3 years ago

Whoever answers right gets brainliest

Softa [21]

Answer:

Step-by-step explanation:

Split the arrow into a rectangle and triangle. The area of the rectangle is 7x4=28. The area of the triangle is 6*3/2=9. 28+9=37

8 0

3 years ago