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3 years ago

The sum of an odd integer and an even integer is always what?

Mathematics

1 answer:

Irina18 [472]3 years ago

6 0

Answer:

an odd integer

Step-by-step explanation:

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Given the following figure, what is the measure of angle B?

scZoUnD [109]

Answer:

132°

Step-by-step explanation:

Sum of the interior angles of a polygon is given by the formula:

$(n-2)*180$

Where $n$ is the number of sides of the polygon.

The figure shows a 5 sided polygon (aka Pentagon). So the sum of all the angles is:

Sum = $(5-2)*180\\=3*180\\=540$

If we add up all the expressions/angles given and equate to 540, we can figure out $x$ . So:

$84+13x+6+9x-16+92+12x=540\\34x+166=540\\34x=540-166\\34x=374\\x=\frac{374}{34}=11$

But angle B measures $12x$ , so plugging in $x=11$ , we have:

Angle B = $12x=12(11)=132$ °

Second answer is right.

7 0

3 years ago

Why is 21 sqrt root an irrational number?

STatiana [176]

Answer:

Because it cannot be written as a fraction

Step-by-step explanation:

The square root of any non-perfect square will always be irrational and cannot be written as a fraction. The sqrt(21) has no repeating digits because its digits go on forever.

6 0

3 years ago

Given the definitions of f(x) and g(x) below, find the value of (f og)(2).

irakobra [83]

F(x) = 11/5 i think sorry if not :(

7 0

4 years ago

A bacteria culture initially contains 100 cells and grows at a rate proportional to its size. After an hour the population has i

bija089 [108]

Answer: $\bold{a)\ P(t)=P_o\cdot e^{t\cdot ln(2.7)}}$

b) 5314

c) ln 2.7

d) 4.6 hrs

Step-by-step explanation:

$P(t) = P_o\cdot e^{kt}\\\\\bullet \text{P(t) is the number of bacteria after t hours} \\\bullet P_o\text{ is the initial number of bacteria}\\\bullet \text{k is the rate of growth}\\\bullet \text{t is the time (in hours)}\\\\\\270=100\cdot e^{k(1)}\\2.7=e^k\\ln\ 2.7=\ln e^k\\\boxed{ln\ 2.7=k}\\\\\text{So the equation to find the number of bacteria is: }\boxed{P(t)=P_o\cdot e^{t\cdot ln(2.7)}}\\\\\\P(4)=100\cdot e^{4\cdot ln(2.7)}\\.\qquad =\boxed{5314}$

$10,000=100\cdot e^{t\cdot ln(2.7)}\\100=e^{t\cdot ln(2.7)}\\ln\ 100=ln\ e^{t\cdot ln(2.7)}\\ln\ 100=t\cdot ln(2.7)\\\dfrac{ln\ 100}{ln\ 2.7}=t\\\\\boxed{4.6=t}$

4 0

3 years ago

Roger served 5/8 pound of cracker wich was 2/3 of the entire box what was the weight of the crackers originally in the box

horrorfan [7]

Answer:
original weight of the box = 15 / 16 pounds

Explanation:
Assume that the original amount in the box is x.
We are given that:
5/8 pounds represent 2/3 of the total amount (x).
This can be translated into the following equation:
(2/3) x = 5 / 8

Now, we will solve for x as follows:
(2/3) x = 5 / 8
Multiply both sides by 24 to get rid of the denominators as follows:
(2/3) x * 24 = (5 / 8) * 24
16 x = 15
Divide both sides by 16 to isolate the x as follows:
x = 15 / 16 pounds

Hope this helps :)

8 0

4 years ago