Mathematical connections

How much did the first national road cost to construct? A) $2 million B) $30 million C) $50 million D) $7 million

Strike441 [17]

The answer to the question is $2 million

5 0

3 years ago

Gimme all 3 answers and u get brainliest

brilliants [131]

Answer:

K. 2.36666666666666667

L. 17.281818181818181818181818181818

M. 69.116

N. 38.489616

Step-by-step explanation:

Brainliest Please!

4 0

3 years ago

2. What are two important characteristics for Normal Distribution ? (1pt)

Liono4ka [1.6K]

Answer:

the mean and standard deviation.

Step-by-step explanation:

i did the work

4 0

3 years ago

Forensic scientists use the following law to determine the time of death of accident or murder victims. If T denotes the tempera

Naddik [55]

Answer: He was killed 24.83 hours before the body was found.

Step-by-step explanation:

Since we have given that

$T=T_0+(T_1-T_0)(0.97)^t$

Here, T is the temperature of a body t hr after death, T = 82°F

T₀ is the air temperature , T₀ = 67°F

T₁ is the body temperature at the time of death = T₁ = 98.6°F

So, we will substitute all the values in the above equation.

$82=67+(98.6-67)(0.97)^t\\\\82-67=31.6(0.97)^t\\\\\dfrac{15}{31.6}=(0.97)^t\\\\0.474683544=(0.97)^t\\\\\text{Taking ln on both sides}\\\\\ln(0.474683544)=t\ln(0.97)\\\\-0.745=t\times -0.030\\\\t=\dfrac{0.745}{0.030}\\\\t=24.83\ hours$

Hence, he was killed 24.83 hours before the body was found.

7 0

3 years ago

PLEASE ANSWER THIS . Goran's company makes solid balls out of scrap metal for various industrial uses. For one project, he must

Ainat [17]

Cost of aluminum required to make a ball of radius 7.5 inches is $ 161.71

<h3><u>Solution:</u></h3>

Given that

Goran's company makes solid balls out of scrap metal for various industrial uses.

For one project, he must make aluminum balls that have a radius of 7.5 inches.

Cost of aluminum = $0.12 per cubic inches

Need to determine cost of aluminum to make one ball.

Lets first calculate the volume of one ball

As shape of the ball is sphere , we can use volume of sphere formula

$\text {Volume of ball }=\text { Volume of sphere }=\frac{4}{3} \pi r^{3}$

Where "r" is the raius of ball

Given that radius of required ball = 7.5 inches

$\text { So, volume of ball of radius } 7.5 \text { inches }=\frac{4}{3} \pi \times 7.5^{3}$

$=\frac{4}{3} \times 3.14 \times 321.875=1347.5833 \text { cubic inches }$

So quantity of aluminum required is same as volume of ball = 1347.5833 cubic inches

Cost of aluminum for 1 cubic inch = $0.12

<em><u>So cost of aluminum required to make a ball of aluminium of 1347.5833 cubic inches is given as:</u></em>

$=0.12 \times 1347.5833=\$ 161.71$

8 0

3 years ago