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3 years ago

Someone help please

Mathematics

2 answers:

Firlakuza [10]3 years ago

7 0

Answer:

1. x+1/-2

2. x = -12

Step-by-step explanation:

x/h + 1 =-2

x+1 =-2h

x+1/-2 = h

x/h + 1 = -2

x/4 = -3

x = -12

hope it helps

Alborosie3 years ago

5 0

Answer: The value of x in terms of h is x=-3h

The value of x when h is 4 is x=12

Step-by-step explanation: for the first one you want to get x alone on one side

The second one is just plugging in 4 into h.

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The population of a colony of mosquitoes obeys the law of uninhibited growth. If there are 1000 mosquitoes initially and there a

STatiana [176]

Answer:

24761 mosquitoes

5.4 days

Step-by-step explanation:

Let the equation that shows the population of the mosquitoes after x days,

$A=P(1+r)^x$

Where,

P = Initial population,

r = rate of increasing per day,

Here, A = 1000, when x = 0,

$1000=P(1+r)^0\implies P = 1000$

A = 1900 when x = 1,

$1900 = P(1+r)^1\implies 1900 = 1000(1+r)\implies 1.9 = 1 + r\implies r = 0.9$

Thus, the required function that represents the population after x days,

$A=1900(1+0.9)^x=1900(1.9)^x$

If x = 4,

The number of mosquito after 4 days,

$A=1900(1.9)^4 = 24760.99\approx 24761$

If A = 60,000,

$60000 = 1900(1.9)^x$

$\frac{600}{19}=1.9^x$

Taking log both sides,

$\log(\frac{600}{19})=x\log 1.9$

$\implies x = \frac{\log(\frac{600}{19})}{\log 1.9}=5.378\approx 5.4$

Thus, there will 60,000 mosquitoes after 5 days.

6 0

3 years ago

Larry has 4-cent stamps and 9-cent stamps, which he can combine to produce various amounts of postage. For example, he can make

Tju [1.3M]

Answer:

the largest number that cannot be made is 23
see below for an explanation

Step-by-step explanation:

<em>Why numbers greater than 23 can be made</em>

From any number that Larry can make that includes an appropriate number of stamps, Larry can ...

add 1 by adding 1×9 and taking away 2×4
add 2 by adding 2×9 and taking away 4×4
add 3 by adding 3×9 and taking away 6×4
add 4 by adding 1×4
add 5 by adding 4 and 1 (add 9, take away 4)
add 6 by adding 4 and 2 (add 2×9, take away 3×4)
add 7 by adding 4 and 3 (add 3×9, take away 5×4)
add 8 by adding 2×4
add 9 by adding 1×9

Clearly, for Larry to be able to continue adding any number, he must start with a number that contains at least 6×4 cents = 24 cents.

Larry can make 24 cents from 6 4-cent stamps. Using the above table, he can add any amount to that.

___

<em>Why 23 cannot be made</em>

For 23 cents, the number of stamps must include 0, 1, or 2 9-cent stamps, so there are 3 cases to try for making 23:

23 cannot be made from 0 9-cent stamps because 23 is not divisible by 4
23 cannot be made using 1 9-cent stamp, because 14 is not divisible by 4
23 cannot be made using 2 9-cent stamps, because 5 is not divisible by 4.

Therefore, 23 cannot be made.

7 0

4 years ago

The distance between -2 1/2 - (-3)

Ierofanga [76]

The distance between -2 1/2 - (-3)

-2 1/2 + 3

1/2

______________________

Answer

1/2

3 0

1 year ago

Is this relation a function. please help me

Juliette [100K]

no this relation is not a function, because for each input (x), there is no output (y)

7 0

4 years ago

The area of a square is 5 far more than the perimeter. Find the length of a side.

sweet [91]

The length of a side of square is 5.

Step-by-step explanation:

Given,

Area of square = a²

Perimeter of square = 4a

According to given statement;

Area of square = Perimeter + 5

$a^2=4a+5\\a^2-4a-5=0$

Factorizing the equation;

$a^2-5a+a-5=0\\a(a-5)+1(a-5)=0\\(a-5)(a+1)=0$

Either,

a-5=0 => a=5

Or,

a+1=0 => a= -1

As length of a side cannot be negative, therefore,

Length of a side of square = 5

The length of a side of square is 5.

Keywords: area, perimeter

Learn more about perimeter at:

#LearnwithBrainly

3 0

4 years ago

Someone help please ​

Someone help please