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Nana76 [90]
2 years ago
12

Solve for q (Please show all work thank you:))

Mathematics
1 answer:
Masja [62]2 years ago
5 0

Answer:

q = ±  \frac{5}{4\sqrt{p} }

Step-by-step explanation:

We are to solve for q in:

16pq² = 25

q² = \frac{25}{16p}

\sqrt{q^2} = ±\sqrt{\frac{25}{16p} } = ± \frac{5}{4\sqrt{p} }

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Bess [88]
There are 4 terms.
The second term and the fourth term have negative coefficients.
Terms are only negative depending on the value of the variables.

3 0
3 years ago
Dion has a pizza with a diameter of 10 1/3 in . Is the square box shown big enough to fit the pizza inside? The box is 10.38 in
Artemon [7]
Yes, the box is wide enough because 10 1/3 is 10.33 repeating and the box is 10.38 (.05 inches wider than the pizza)
7 0
2 years ago
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.

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6 0
3 years ago
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Andreas93 [3]

The identity Sin(α)/Tan(α) = Cos(α) is valid

Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-

Sine Function:

sin(θ) = Opposite / Hypotenuse

Cosine Function:

cos(θ) = Adjacent / Hypotenuse

Tangent Function:

tan(θ) = Opposite / Adjacent

Lets prove this identity by proceeding with the LHS

= Sin(α)/Tan(α)

= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))

= Sin(α)xCos(α) / Sin(α)

= Cos(α)

Hence verified

Learn more about Trigonometric Ratios here :

brainly.com/question/13776214

#SPJ4

4 0
2 years ago
If 2x + 5 = 82, then 12x = ?<br> A 5<br> B<br> 10<br> C 15<br> D 20
KengaRu [80]

Answer:

2x= 38.5

Step-by-step explanation:

I'm not sure where u got 12x but 2 x = 38.5:

2x + 5 =82

subtract 5 for 82

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x = 38.5

hope this helps :)

5 0
3 years ago
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