Ginny is studying a population of frogs. She determines that the population is decreasing at an average rate of 3% per year. When she began her study, the frog population was estimated at 1,200. Which function represents the frig population after years?

Answer:

30.772 in2.

Step-by-step explanation:

First, find the radius of circle A.

* in picture*

Next, use the formula and the radius of circle A to find the area of circle A.

*in picture*

Last, multiply the area of circle A by  to find the area of circle B.

*in picture*

Therefore, the area of circle B is 30.772 in2.

Answer:

A) 2,500x + 6,250 < 35,000; 11 plowing disks

Step-by-step explanation:

Answer:

The answer is the option C

CD≅GH

Step-by-step explanation:

we know that

The Transitive Property of Congruence states that

If [tex]a=b[/tex] and [tex]b=c[/tex]

then

[tex]a=c[/tex]

In this problem we have

CD≅EF  and EF≅GH

therefore

CD≅GH -------> by Transitive Property of Congruence

Histogram options for golf scores: (a) 3,9,8,9,2; (b) 5,7,10,7,4; (c) 4,8,9,8,3; (d) 5,8,9,8,5. Correct choice (d) accurately represents the frequency distribution of scores in ten-point intervals.

To create a histogram with ten-point intervals for the given golf scores, we need to organize the scores into ranges and determine the frequency of scores within each range. Let's examine each option:

a. 70-80: 3 scores, 80-90: 9 scores, 90-100: 8 scores, 100-110: 9 scores, 110-120: 2 scores.

b. 70-80: 5 scores, 80-90: 7 scores, 90-100: 10 scores, 100-110: 7 scores, 110-120: 4 scores.

c. 70-80: 4 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 3 scores.

d. 70-80: 5 scores, 80-90: 8 scores, 90-100: 9 scores, 100-110: 8 scores, 110-120: 5 scores.

The correct histogram is option (d) with scores in the 70-80, 80-90, 90-100, 100-110, and 110-120 ranges having frequencies of 5, 8, 9, 8, and 5, respectively. This accurately represents the distribution of golf scores in ten-point intervals among the members of the Belmont Country Club.

To fertilize an orchard of 1200 trees, with 200 grams of fertilizer per tree and the cost of fertilizer at $2.75 per kilogram, the total cost would be $660.

To calculate the cost to fertilize an orchard of 1200 trees, assuming 200 grams of fertilizer are used per tree, and the fertilizer costs $2.75 per kilogram, we need to follow these steps:

Convert the amount of fertilizer needed per tree into kilograms, as the cost is given per kilogram. Since there are 1000 grams in a kilogram, 200 grams is equal to 0.2 kilograms.

Multiply the amount of fertilizer needed per tree by the number of trees to find the total amount of fertilizer needed for the orchard. This is 0.2 kg/tree times 1200 trees = 240 kilograms.

Multiply the total kilograms of fertilizer by the cost per kilogram to find the total cost of fertilizing the orchard. This is 240 kg times $2.75/kg = $660.

Therefore, the total cost to fertilize the orchard is $660.

Answer:

These two equations describe the same line.

___

In the graph here, the graph of one equation is shown as a dotted line, not be cause those are the only points on the graph, but because I wanted you to see the other equation describes exactly the same line.

Kade has 1/6 cup of salad dressing left after using some on a salad. We found this by converting 2/3 cup to 4/6 cup and then subtracting it from the 5/6 cup he initially had.

To find out how much salad dressing Kade has left after using some on a salad, we need to subtract the amount used from the total amount he made. Kade made 5/6 cup of salad dressing and used 2/3 cup on a salad. To perform the subtraction, both fractions need a common denominator. The smallest common denominator for 6 and 3 is 6. The fraction 2/3 can be converted to 4/6 so that both fractions have the same denominator. Now we can subtract:

Hence, Kade has 1/6 cup of salad dressing left after using it on the salad.

The parabola will become narrower, the correct option is B.

For a function f(x), we define a vertical stretch of scale factor k as:

g(x) = k*f(x).

If k > 1, we have a stretch, if 0 < k < 1, we have a contraction.

In this case, we have:

So we have a vertical stretch of scale factor 2, this means that we are stretching our function vertically, so it will become narrower, meaning that the correct option is B.

If you want to learn more about transformations, you can read:

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Answer:

Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

we know that

using proportion

[tex]\frac{(3/4)}{1}\frac{in}{week}=\frac{x}{3}\frac{in}{weeks} \\ \\x=3*(3/4)\\ \\x=9/4\ in[/tex]

Find the height of the plant in [tex]3[/tex] weeks

[tex]2\frac{1}{2} +\frac{9}{4}=\frac{5}{2} +\frac{9}{4}\\ \\=\frac{19}{4}\ in[/tex]

therefore

The incorrect method is

Multiply [tex]2\frac{1}{2}[/tex] by [tex]3[/tex] and then add [tex]\frac{3}{4}[/tex]

because

[tex]2\frac{1}{2}*3+\frac{3}{4}=\frac{15}{2}+\frac{3}{4}\\ \\=\frac{33}{4}\ in[/tex]

Answer: On Thursday the low temperature change the most.

Explanation :

From the given table we can conclude that change is the lowest in Thursday .

And there is no matter if it is positive or negative

Because change defines final - initial only i.e. difference between final and initial

So, we consider absolute value only.

According to which Thursday has the atmost change i.e 4.1 which is the lowest amongst the other .

So ,on Thursday the low temperature change the most.

The day with the most temperature change in Albany compared to the day before is Thursday.

The day with the most temperature change was Wednesday.

To determine the most significant change, we calculate the absolute difference for each day's temperature change:

Therefore, Thursday had the most substantial temperature change.

Dividing 98.52 by 10 involves moving the decimal one place to the left, resulting in 9.852. This process is the same for all decimals when dividing by powers of 10, such as 10, 100, or 1000.

When we divide a number by powers of 10, we're effectively moving the decimal point to the left by as many places as there are zeros in the power of ten. For instance, dividing 1.9436 by 10 moves the decimal one place to the left, becoming 0.19436. Similarly, dividing 98.52 by 10 moves the decimal one place to the left as well, giving us the simplified answer of 9.852.

If we were to multiply a number by powers of 10, we would do the opposite, moving the decimal to the right. For example, to multiply 45.86 by 100, you would move the decimal two places to the right to get 4586.

In conclusion, 98.52 divided by 10 is 9.852. Even if the answer is rounded, the process remains the same; you simply adjust the decimal point accordingly based on the power of 10 you are dividing by.

The best estimate of the total cast, in dollars, of the laundry items is $885.

A total is a whole or complete amount, and "to total" is to add numbers or to destroy something. In math, you total numbers by adding them: the result is the total.

Given that, the owner purchases 6 cases of laundry soap, 8 cases of fabric softener, and 3 cases of bleach for the laundromat.

Each case of laundry soap costs $68.45

So, the cost of 6 cases of laundry soap

= 6×68.45

= $410.7

Each case of fabric softener costs $39.71

So, the cost of 8 cases of fabric softener

= 8×39.71

= $317.68

Each case of bleach costs $52.25

So, the cost of 3 cases of bleach for the laundromat

= 3×52.25

= $156.75

Total =410.7+317.68+156.75

= $885.13

≈ $885

Therefore, the best estimate of the total cast, in dollars, of the laundry items is $885.

Learn more about the total here:

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Solution:

we are given that

For every pound a company spends on advertising it spends £0.64 on its websites.

we have been asked to express the amount spent on advertising to the amount on its website it's website as a ratio it's in its simplest form.

We can find the required ratio as below

[tex]Ratio=\frac{1}{0.64} \\ \\ Ratio=\frac{100}{64} \\ \\ Ratio=\frac{25}{16} \\[/tex]

Hence the required ratio is 25:16.

Answer:

9) 22 - 5(6v - 1) = -63

22 - 30v + 5 = -63

27 - 30v = -63

-30v = -90

v = 3

10) 18x - (8x - 7) = 67

18x - 8x + 7 = 67

10x = 60

x = 7

11) 8(-2x - 4) + 12 = -52

8(-2x - 4) = -64

-2x - 4 = -8

-2x = -4

x = 2

To simplify the expression (3x^4y^-5)^3, apply the power rule to each term, calculate the result, and combine them. The simplified form is 27x^12y^-15.

How to Simplify the Expression (3x^4y^-5)^3:

Let's simplify the given expression step by step:

(a^m * b^n)^p = a^(m*p) * b^(n*p)

So, (3x^4y^-5)^3 becomes:

(3^3) * (x^(4*3)) * (y^(-5*3))

Putting it all together, we get:

27x^12y^-15

In conclusion, the simplified form of (3x^4y^-5)^3 is 27x^12.y^-15.

Answer:

Perimeter of given triangle is ( 9.8x + 1.1y + 9.9z ) centimeters.

Step-by-step explanation:

Given : A triangle has a side lengths of (5.5x + 6.2y) centimeters, (4.3x+8.3z) centimeters and (1.6z -5.1y) centimeters  

We have to find the expression  that represents the perimeter (in centimeters)

of the triangle.

Perimeter of a figure is defined as the sum of all the sides.

Since given figure is triangle so perimeter of triangle is the sum of all the sides.

Given side lengths are

(5.5x + 6.2y) , (4.3x + 8.3z) and (1.6z -5.1y)

Thus, perimeter = (5.5x + 6.2y)  + (4.3x + 8.3z) + (1.6z - 5.1y)

Perimeter = 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y

LIKE TERMS are term with same variables.

Rearrange, we get

Perimeter = 5.5x + 4.3x + 6.2y - 5.1y + 8.3z + 1.6z

Adding like terms, we get,

Perimeter = (5.5 + 4.3)x + (6.2 - 5.1)y + (8.3 + 1.6)z

Perimeter = (9.8)x + (1.1)y + (9.9)z

Thus, Perimeter of given triangle is 9.8x + 1.1y + 9.9z centimeters.