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3 years ago

You have 104 apples. There are 8 bags full of the same amount of apples. How many apples are in each bag?

Mathematics

1 answer:

Irina-Kira [14]3 years ago

6 0

13 in each bag........

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After receiving his allowance, Spencer spent half of it on a Mother’s Day card. He bought two toy cars for $.49 each to give to

Lynna [10]

.49(2)+0.35+0.42= $1.75

7 0

3 years ago

Finding a polynomial of a given degree with given zeros

galben [10]

Since f(x) is a polynomial with 3rd degree, then it will have 3 roots (zeroes)

One of them is real and the other two are complex conjugate roots

Since the real root is 4, then

x = 4

Since the complex root is (1 - i), then

The other root will be the conjugate of it (1 + i)

x = (1 - i)

x = (1 + i)

To find f(x) we will multiply the three factors of it

We can get the factors from the zeroes

$x=4$

Subtract 4 from both sides

$\begin{gathered} x-4=4-4 \\ x-4=0 \end{gathered}$

The first factor is (x - 4)

$\begin{gathered} x=1-i \\ x-(1-i)=(1-i)-(1-i) \\ x-1+i=0 \end{gathered}$

The second factor is (x - 1 + i)

The third factor is (x - 1 - i)

$f(x)=(x-4)(x-1+i)(x-1-i)$

We will multiply them to find f(x)

$\begin{gathered} (x-1+i)(x-1-i)= \\ x^2-x-ix-x+1+i+ix-i-(i^2)= \\ x^2-2x+1-(-1)= \\ x^2-2x+1+1= \\ x^2-2x+2 \end{gathered}$

Multiply it by (x - 4)

$\begin{gathered} f(x)=(x-4)(x^2-2x+2) \\ f(x)=x^3-2x^2+2x-4x^2+8x-8 \\ f(x)=x^3-6x^2+10x-8 \end{gathered}$

The answer is

$f(x)=x^3-6x^2+10x-8$

5 0

1 year ago

A test tube initially holds 25 bacteria. The population of bacteria in the test tube doubles each hour. Without making a graph,

9966 [12]

5 hours because 800/25=32 32= 2^5 25 X 1 = 25 25 X 2 = 50 AFTER FIRST HOUR 25 X 2^5 = 800 AFTER FIFTH HOUR

5 0

3 years ago

Read 2 more answers

If there are 46 scores in a set of data, in which position will the lower quartile lie

Eva8 [605]

Answer:

Position 12.

Step-by-step explanation:

It will be n the center of the bottom 23 numbers ( when the data is arranged in ascending order).

That is in position 12.

3 0

4 years ago

Complete the problem to represent the situation given by the equation 0.40e + 10 + 15 = 0.20e + 5 + 25. At one store a trophy co

olganol [36]

Answer: The number of letters that must be engraved for the costs to be the same is 125.

Step-by-step explanation:

Since we have given that

$0.4e+10+15=0.20e+5+25$

We need to find the number of letters.

$0.4e+25=0.2e+30\\\\0.4e-0.2e=30-25\\\\0.2e=25\\\\e=\dfrac{25}{0.2}\\\\e=125$

Hence, the number of letters that must be engraved for the costs to be the same is 125.

8 0

3 years ago

Read 2 more answers