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forsale [732]
2 years ago
6

Can someone please help me with #2?​

Mathematics
1 answer:
Norma-Jean [14]2 years ago
4 0

For problem 2, you are correct in stating that a curve forms. Specifically, if we were to trace along the outer edge of the shape, then we'd form a <u>parabola</u> that has been tilted 45 degrees compared to the more familiar form that students are taught (where the axis of symmetry is vertical).

For more information, search out "Tangent method for parabolas". As the name implies, the tangent method draws out the tangents of the parabola which helps form the parabola itself.

Everything else on your paper is correct. You have problem 1 correct, and the table is filled out perfectly. Nice work.

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Which fraction is equivalent to (1/2)(1/2)(1/2)
aniked [119]

Answer:

3/6       4/8

Step-by-step explanation:

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2 years ago
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A Galapagos cactus finch population increases by half every decade. The number of finches is
Angelina_Jolie [31]

Answer:

The number of fringes at d=-2 is given as 20.

Step-by-step explanation:

Question

A Galapagos cactus finch population increases by half every decade. The number of finches is modeled by the expression

,

where d is the number of decades after the population was measured. Evaluate the expression for d = −2

Given :

The number of  finches is modeled by the expression  :

⇒ 45\cdot1.5^d

where d is the number of decades after the population was measured.

To evaluate the expression for d=-2

Solution:

In order to evaluate the given expression to find the number of finches at d=-2, we will plugin -2 for d in the expression and simplify it.

Plugging in d=-2 in the expression:

⇒ 45\cdot 1.5^{-2}

Using negative exponent property. [a^{-x}=\frac{1}{a^x}

⇒ 45\cdot \frac{1}{1.5^2}

⇒ 45\cdot \frac{1}{2.25}

⇒ 20   (Answer)

Thus, the number of fringes at d=-2 is given as 20.

This means the number of fringes two decades ago was 20.

6 0
3 years ago
Order the steps to solve the equation log(x^2-15)=log(2x) form 1 to 5
nasty-shy [4]

Answer:x=-5 and x=3

Step-by-step explanation:

log(x^2-15)=log(2x)

Cancel log at both sides we get

x^2-15=2x

Collect like terms

x^2-2x-15=0

x^2-3x+5x-15=0

x(x-3)+5(x-3)=0

(x+5)(x-3)=0

x+5=0 x-3=0

x=-5 x=3

6 0
3 years ago
I need help with the bottom one the absolute value one
astra-53 [7]

Absolute value is simply the non-negative version of the number regardless of its symbol

So for the absolute value of 20? the answer is just 20.

For reference, the absolute value of -20 is also just 20.

Hope the explanation helps :)

5 0
2 years ago
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A mother wants to invest ​$6000 for her​ children's education. She invests a portion of the money in a bank certificate of depos
mariarad [96]

Answer:

Money invested in CD account: $2000

Money Invested in Savings Bond: $4000

Step-by-step explanation:

Given

Total amount=$6000

Let  

x be the amount invested in CD at 4%

And

6000-x be the remaining amount invested in savings bond at 7%

So mathematically writing

0.04x+0.07(6000-x)=360

0.04x+420-0.07x=360

-0.03x+420=360

-0.03x=360-420

-0.03x= -60

x= -60/(-0.03)

x=$2000

So the amount invested in CD is $2000.

And the amount invested in savings bond is:

=6000-x

=6000-2000

=$4000  ..

8 0
3 years ago
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