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3 years ago

13

1. The population of an endangered species of bird is decreasing 15 percent each year. If there were originally 1,400 birds rema

ining,
how many are left after six years?

1 answer:

balu736 [363]3 years ago

7 0

Answer:

528 birds

Step-by-step explanation:

100%-15%= 85% = .85

1400 (.85)^6

= 528

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A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of te triangle is 16m to the power of 2, what are the base

Olenka [21]

Answer:

The base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

Step-by-step explanation:

Given:

A triangle has a base of x 1/2 m and a height of x 3/4 m. If the area of the triangle is 16m to the power of 2.

Now, to find the base and height of the triangle.

The base of triangle = $x\times\frac{1}{2} =\frac{x}{2} \ m.$

The height of triangle = $x\times \frac{3}{4} =\frac{3x}{4}\ m.$

The area of triangle = $16\ m^2.$

Now, we put the formula of area to solve:

$Area=\frac{1}{2} \times base\times height$

$16=\frac{1}{2} \times \frac{x}{2} \times \frac{3x}{4}$

$16=\frac{3x^2}{16}$

<em>Multiplying both sides by 16 we get:</em>

<em /> $256=3x^2$ <em />

<em>Dividing both sides by 3 we get:</em>

<em /> $\frac{256}{3} =x^2$ <em />

<em>Using square root on both sides we get:</em>

$\frac{16}{\sqrt{3}}=x$

$x=\frac{16}{\sqrt{3}}$

Now, by substituting the value of $x$ to get the base and height:

$Base=\frac{x}{2}\\\\Base=\frac{\frac{16}{\sqrt{3}}}{2} \\\\Base=\frac{8}{\sqrt{3}} \ m.$

<em>So, the base of triangle = </em> $\frac{8}{\sqrt{3}} \ m.$ <em />

$Height=x\times\frac{3}{4} \\\\Height=\frac{16}{\sqrt{3}}\times \frac{3}{4} \\\\Height=\frac{12}{\sqrt{3}} \ m.$

<em>Thus, the height of triangle = </em> $\frac{12}{\sqrt{3}} \ m.$ <em />

Therefore, the base of triangle is $\frac{8}{\sqrt{3}} \ m$ and the height of triangle is $\frac{12}{\sqrt{3}} \ m.$

7 0

4 years ago

Alexandra’s backpack weights 7 5/8 pounds. What is the weight of her backpack expressed as a decimal?

Alex777 [14]

Answer: 7.625 pounds.

Step-by-step explanation:

Given: The weight of Alexandra's backpack = $7\frac{5}{8}\ pounds$ e the given weight is in mixed fraction.

To convert it into decimal ,first we need to convert it into improper fraction.

Thus, $7\frac{5}{8}=\frac{7\times8+5}{8}=\frac{61}{8}$

Now, convert the improper fraction into decimal, by dividing numerator by denominator, we get

$7\frac{5}{8}=7.625$

Hence, the weight of her backpack in decimal = 7.625 pounds.

8 0

3 years ago

Write an exponential function in the form y=ab^x that goes through points (0, 18) and (2, 288)

Ede4ka [16]

y = abx

Point (1, 4): 4 = ab

Point (3, 16): 16 = ab^3

From 4=ab we have a = 4/b

Substitute into 2nd equation

16 = (4/b)b^3

16 = 4b^2

4 = b^2

2 = b

a = 4/b = 4/2 = 2

An exponential function that fits is: y = 2(2^x)

check: x=1; y = 2(21) = 4 ... point (1, 4)

x=3: y = 2(23) = 2(8) = 16 ... point (3, 16)

5 0

3 years ago

Read 2 more answers

The function g(x) + f ( x + 3 ) + 2.Which of the following is true of the graph

lora16 [44]

the answer to the question is f(2z)=(2z)²

7 0

3 years ago

Can someone help me with this please ?

Natali5045456 [20]

Answer:

87 is the anwser

Step-by-step explanation:

Can i have brainlyest pls

6 0

3 years ago