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zheka24 [161]
3 years ago
15

Write a paragraph comparing the distribution of dollars spent on monthly entertainment by 12-year-old girls and boys. Including

your response measures of shape, center, and spread in reference to the context of data presented
Mathematics
1 answer:
Lina20 [59]3 years ago
4 0

Answer:

Veaca dom vetta me lato da la te amo lattea.

Step-by-step explanation:

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Lucy made 3 cakes that each weighed 32 ounces. how many pounds of cake did lucy make
Anna11 [10]
There are 16 ounces in a pound. 3 x 32= 96
96/16=6

Lucy made 6 pounds of cake. Hope this helped!
5 0
2 years ago
Read 2 more answers
If the sum of the zereos of the quadratic polynomial is 3x^2-(3k-2)x-(k-6) is equal to the product of the zereos, then find k?
lys-0071 [83]

Answer:

2

Step-by-step explanation:

So I'm going to use vieta's formula.

Let u and v the zeros of the given quadratic in ax^2+bx+c form.

By vieta's formula:

1) u+v=-b/a

2) uv=c/a

We are also given not by the formula but by this problem:

3) u+v=uv

If we plug 1) and 2) into 3) we get:

-b/a=c/a

Multiply both sides by a:

-b=c

Here we have:

a=3

b=-(3k-2)

c=-(k-6)

So we are solving

-b=c for k:

3k-2=-(k-6)

Distribute:

3k-2=-k+6

Add k on both sides:

4k-2=6

Add 2 on both side:

4k=8

Divide both sides by 4:

k=2

Let's check:

3x^2-(3k-2)x-(k-6) \text{ with }k=2:

3x^2-(3\cdot 2-2)x-(2-6)

3x^2-4x+4

I'm going to solve 3x^2-4x+4=0 for x using the quadratic formula:

\frac{-b\pm \sqrt{b^2-4ac}}{2a}

\frac{4\pm \sqrt{(-4)^2-4(3)(4)}}{2(3)}

\frac{4\pm \sqrt{16-16(3)}}{6}

\frac{4\pm \sqrt{16}\sqrt{1-(3)}}{6}

\frac{4\pm 4\sqrt{-2}}{6}

\frac{2\pm 2\sqrt{-2}}{3}

\frac{2\pm 2i\sqrt{2}}{3}

Let's see if uv=u+v holds.

uv=\frac{2+2i\sqrt{2}}{3} \cdot \frac{2-2i\sqrt{2}}{3}

Keep in mind you are multiplying conjugates:

uv=\frac{1}{9}(4-4i^2(2))

uv=\frac{1}{9}(4+4(2))

uv=\frac{12}{9}=\frac{4}{3}

Let's see what u+v is now:

u+v=\frac{2+2i\sqrt{2}}{3}+\frac{2-2i\sqrt{2}}{3}

u+v=\frac{2}{3}+\frac{2}{3}=\frac{4}{3}

We have confirmed uv=u+v for k=2.

4 0
3 years ago
Thom's restaurant bill is 45$ and he leaves a 20 percent tip. what is the total cost for thom's meal
katrin [286]
The total cost of the meal will be $54.
45 + 20% = 54
5 0
3 years ago
Read 2 more answers
Suppose AP = 2 cm and BQ = 7 cm. What is the length of PC?
viktelen [127]

Step-by-step explanation:

is this a quadrilateral? or polygon or triangle?

what are the angles (I believe there should be at least an angle given) else PC can be any value that is positive

3 0
3 years ago
In Game 1, Emerson struck out 30 times in 90 times at bat. In Game 2, he struck out 40 times in 120 times at bat. In Game 3, Eme
VikaD [51]

Answer:

<u>Total number of strikeouts:</u>

  • 30 + 40 + 42 = 112

<u>Total number of at bats:</u>

  • 90 + 120 + 140 = 350

<u>Hits = times - strikeouts:</u>

  • 350 - 112 = 238

<u>Percentage:</u>

  • 238/352*100% = 67.61%

7 0
3 years ago
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