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2 years ago

Please help me, the question is in the attachment

Mathematics

1 answer:

arlik [135]2 years ago

6 0

Answer:

Step-by-step explanation:

i think thats what it is i didnt really understand it at all

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A 46 gram sample of a substance that is used to sterilize surgical instruments has a k-value of 0.1374. Find the substance's hal

mars1129 [50]

Answer:

$t=5.0days$

Step-by-step explanation:

Using the formula for the exponential decay that is $N=N_{0}e^{-kt}$ , we have N= $\frac{1}{2}{\times}46=23$ , $N_{0}=46$ and k=0.1374.

Thus, $N=N_{0}e^{-kt}$ becomes

$23=46{\times}e^{-0.1374t}$

$\frac{23}{46}=e^{-0.1374t}$

$\frac{1}{2}=e^{-0.1374t}$

Taking log on both sides, we get

$ln(\frac{1}{2})={-0.1374t}$

$t=\frac{ln\frac{1}{2}}{-0.1}$

$t=\frac{-0.6931}{-0.1374}$

$t=5.0days$

4 0

2 years ago

Learning Task 4. Solve the problem by applying the sum and product of roots

Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

$x^2+bx+c=0$

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

$x^2-18x+80=0$

Factoring by finding two numbers that add up to 18 and have a product of 80:

$(x-10)(x-8)=0$

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0

2 years ago

PLEASE HELP THIS IS A TIMED QUESTION ON A QUIZ!!!

pantera1 [17]

Answer:

a) 11, d) 25, e) 14, b) 25, c) 28, f) 33

Step-by-step explanation:

<h3>Given</h3>

ΔBDF, with H is the centroid of BDF, DF = 50, CF = 42, and BH = 22

HE , DE , CH, EF, HF, BE

<h3>Solution</h3>

As per definition of the centroid, the points C, E and G are midpoints of respective sides and the length of short and long distances from the centroid have ratio of 1/3 and 2/3 of median

a) HE = 1/2BH = 1/2(22) = 11
d) DE = 1/2DF = 1/2(50) = 25
e) CH = 1/3CF = 1/3(42) = 14
b) EF = DE = 25
c) HF = 2/3CF = 2/3(42) = 28
f) BE =BH + HE = 22 + 11 = 33

3 0

2 years ago

You spent these amounts on natural gas for the past four months: $112, $108, $99, $89. what should you budget for natural gas th

miskamm [114]

If you wanted to compute for your budget for natural gas this month using the data you have recorded about your consumption of natural gas for the past four months, the best estimate to be budgeted this month would be the average consumption for the past 4 months. To get the average, you have to add the four numbers and divide it by four.

$112 + $108 + $99 + $89 = $408/4 = $102

7 0

2 years ago

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It takes 1/8 tsp of baking soda to make 4 dozen cookies. How many teaspons of baking soda does it take to make 1 dozen cookies?

kari74 [83]

1/2 a tsp EASY 8 / 4 = 2

4 0

3 years ago

Read 2 more answers