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malfutka [58]
3 years ago
13

A forest fire covers twice the amount of forest as it did 3 days ago. 3 days ago, this fire covered 300 square miles and it cont

inues to grow at the same rate. How many square miles will it cover 9 days from now? A. 9,600 sq miles B. 4,800 sq miles C. 3,200 sq miles D. 6,400 sq miles
Mathematics
2 answers:
yanalaym [24]3 years ago
7 0
D. 6400 sq miles in 9 days
yKpoI14uk [10]3 years ago
6 0

Answer:

The correct option is B) 4800 square miles.

Step-by-step explanation:

Consider the provided information.

It is given that the fire covered 300 square miles in 3 days ago. And it continues to grow at the same rate.

Therefore, today it covers the twice of area it covers on yesterday.

The area covers by fire 2×300=600 square miles

Now the area covers after 3 days from today will be:

2×2×300 = 2×600 = 1200 square miles

The area covers after 3×2=6 days from today is:

2×2×2×300 = 2400 square miles

The area covers after 3×3=9 days from today is:

2×2×2×2×300 = 4800 square miles

Hence, the correct option is B) 4800 square miles.

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TiliK225 [7]

Answer: Required 99% confidence interval  : (48.30%, 61.7%)

Step-by-step explanation:

Confidence interval for PROPORTION:  p\pm z^* \times S.E., where p = sample proportion , z* = two-tailed critical z-value  and S.E. = standard error.

As per given: p=55%

Critical z-value for 99% confidence = 2.576

S.E. = 2.6%

Then, required confidence interval :

55\% \pm (2.576)\times 2.6\%\\\\\approx55\% \pm6.70\%\\\\=(55\%-6.70\%,\ 55\%+6.70\%)\\\\=(48.30\%,\ 61.7\%)

Required 99% confidence interval  : (48.30%, 61.7%)

7 0
3 years ago
Please anybody help me please this is so hard that not even I can't solve this I don't pay attention in class
Alla [95]

Answer:

m\angle B=54^{\circ}

m\angle BAD=36^{\circ}

m\angle CDA=90^{\circ}

BAC=72^{\circ}

Step-by-step explanation:

Given:

\overline{AB}\cong \overline{AC},

\overline{AD} bisects angle BAC

m\angle C=54^{\circ}

Triangle ABC is isosceles triangle, because \overline{AB}\cong \overline{AC}. Angles adjacent to the base of isosceles triangle ABC are congruent.

Hence,

m\angle C=m\angle B=54^{\circ}

The sum of the measures of all interior angles is 180°, so,

m\angle B+m\angle C+m\angle BAC=180^{\circ}\\ \\m\angle BAC=180^{\circ}-2\cdot 54^{\circ}=72^{\circ}

Since \overline{AD} bisects angle BAC, angles BAD and CAD are congruent by definition of angle bisector. So,

m\angle BAD=m\angle CAD=\dfrac{1}{2}m\angle BAC=\dfrac{1}{2}\cdot 72^{\circ}=36^{\circ}

AD ia angle bisector in isosceles triangle drawn to the base, so it is the height. Thus, AD and BC are perpendicular. So,

m\angle CDA=90^{\circ}

8 0
3 years ago
an account starts with $500 and is compounded quarterly at 5% interest how much is the account worth after 10 years
Tomtit [17]

Answer:

$1500

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 20%/100 = 0.2 per year,

then, solving our equation

I = 500 × 0.2 × 10 = 1000

I = $ 1,000.00

The simple interest accumulated

on a principal of $ 500.00

at a rate of 20% per year

for 10 years is $ 1,000.00.

5 0
3 years ago
How do you solve 12+5x = 18+3x
guajiro [1.7K]

Answer: x = 3


Step-by-step explanation:Simplifying

12 + 5x = 18 + 3x

Solving

12 + 5x = 18 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

12 + 5x + -3x = 18 + 3x + -3x

Combine like terms: 5x + -3x = 2x

12 + 2x = 18 + 3x + -3x

Combine like terms: 3x + -3x = 0

12 + 2x = 18 + 0

12 + 2x = 18

Add '-12' to each side of the equation.

12 + -12 + 2x = 18 + -12

Combine like terms: 12 + -12 = 0

0 + 2x = 18 + -12

2x = 18 + -12

Combine like terms: 18 + -12 = 6

2x = 6

Divide each side by '2'.

x = 3

Simplifying

x = 3




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3 years ago
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In(36)=h/220ft
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3 years ago
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