The graph shows information about the lion population at a safari park.

Lions were introduced in the park in 2010. In 2012, the park has a population of 32 lions. A year later, in 2013, the park has 128 lions. Write an exponential function that models this situation. Let xrepresent the number of years since 2010 and let f(x)represent the number of lions.

Answer:

The answer to your question is 3.5 m

Step-by-step explanation:

1 m= 100 cms

so 350 cms  = 3.5 m

I hope this helps and have a good day!

To start solving the exercise, we obtain as data:

We apply as a formula:

We apply the formula and solve:

Therefore, the area of the circle is 27 ft².

Answer: 27ft²

Step-by-step explanation: Soln:

Given that,

π=3

Radius(r)=3ft.

We have,

A = π r²

A = 3* (3)²

A=3*9

A=27ft²

Each girl washes 3 shirts. The 18 shirts are divided equally among the 6 girls

After putting 14 shirts in the washing machine, there are 32 - 14 = 18 shirts left to wash. These 18 shirts are shared equally among 6 girls. To find out how many shirts each girl washes, we divide the total number of shirts (18) by the number of girls (6):

Number of shirts washed by each girl = Total shirts / Number of girls

Number of shirts washed by each girl = 18 / 6

Number of shirts washed by each girl = 3

Each girl washes 3 shirts. The 18 shirts are divided equally among the 6 girls, so each girl washes the same number of shirts.

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Answer: 62.8in

Step-by-step explanation:

The formula for circumference is C=2πr. Put the values of 10 in for r and 3.14 in for pi, and you get an equation that looks like C=2(3.14)(10). Solving this equation gets you 62.8.

Answer:

62.8

Step-by-step explanation:

Circumference=2rpi

c=2*10*pi

c=20*pi

c=20*3.14

c=62.8

Answer:

[tex]\textsf{b.} \quad 3x+5y=2[/tex]

Step-by-step explanation:

Define the given points:

[tex]\textsf{let}\:(x_1,y_1)=(4,-2)[/tex]

[tex]\textsf{let}\:(x_2,y_2)=(-1,1)[/tex]

Use the slope formula to determine the slope of the line:

[tex]\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{1-(-2)}{-1-4}=\dfrac{1+2}{-1-4}=-\dfrac{3}{5}[/tex]

Use the point-slope formula to determine the equation of the line.

[tex]\implies y-y_1=m(x-x_1)[/tex]

Substitute the found slope and point (4, -2):

[tex]\implies y-(-2)=-\dfrac{3}{5}(x-4)[/tex]

[tex]\implies y+2=-\dfrac{3}{5}(x-4)[/tex]

Multiply both sides by 5:

[tex]\implies 5(y+2)=-3(x-4)[/tex]

Expand the brackets:

[tex]\implies 5y+10=-3x+12[/tex]

Add 3x to both sides:

[tex]\implies 5y+10+3x=-3x+12+3x[/tex]

[tex]\implies 3x+5y+10=12[/tex]

Subtract 10 from both sides:

[tex]\implies 3x+5y+10-10=12-10[/tex]

[tex]\implies 3x+5y=2[/tex]

Answer:

275

Step-by-step explanation:

Answer: There is 5 non blue sock in Josh's drawer

Step-by-step explanation:

The denominator shows the total of nonblue and blue socks. So there are 7 non-blue and blue socks in the drawer after he removes 3 non blue socks.To find how many non-blue where in the drawer originally you need to find how many non blue are in the draw after removing the three. So you subtract 7 from 5 which gives you 2. So there are 2 non-blue socks in the drawer after removing the three. Now you need to find how many non-blue were there before he removed the three. So add the 3 non blue socks that he removed to the two that were there after which gives you five.

Answer:

Letter c

Step-by-step explanation:

You are distributing the 7 to each term in the parentheses.  

7(8x) is 56 x

Here is the tricky part.  You can think of it a couple of ways:

7(-4y) = -28y  a positive times a negative is a negative.

or 7(4y) = 28 , but then remember that you are subtracting so it will become  -28

7(6) = 56

56x - 28y +42

Answer:

c.) 7(8x - 4y + 6)

Step-by-step explanation:

if we solve 7(8x-4y+6), we get;

56x-28y+42

Answer:

ospe4mhe is taht he iaoe

Answer:

Synecdoche means in which a part of something is substituted for the whole (as hired hand for "worker")

The congruent triangles are solved and the measure of HI ≅ FG and the measure of DH ≅ BF

Transformations change the size or position of shapes. Congruent shapes are identical, but may be reflected, rotated or translated. Scale factors can increase or decrease the size of a shape. Congruent Triangles simply mean the triangles that possess the same size and shape

The three sides are equal (SSS: side, side, side)

Two angles are the same and a corresponding side is the same (ASA: angle, side, angle)

Two sides are equal and the angle between the two sides is equal (SAS: side, angle, side)

A right angle, the hypotenuse and a corresponding side are equal (RHS, right angle, hypotenuse, side)

Given data ,

Let the first triangle being constructed be ΔCBA

Let the second triangle being constructed be ΔDEL

Now , the measures of the corresponding sides of the congruent triangles will be in the same ratio

So , measure of HI ≅ measure of FG

And , the measure of DH ≅ the measure of BF

Hence , the ∠D is congruent to ∠B

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Answer:

lineHO parallel lineEN - Given

lineHW = lineNW - Given

angle HWO congruent angle EWN Vertical Angles

angle OHW congruent angle ENW Alternate interior angles

Thus triangle HOW congruent triangle NEW

[wouldn't let me use symbols sorry]

Answer:

A) The median is one of the values listed in the table

Step-by-step explanation:

The median is the middle number in an ordered data set. Since the number of date in the table is a even number, both 75 and 76 is the middle number.  To find the median of an set of data that has an even number of sets, you just add the 2 middle numbers together and divide by 2. So like:

75+76=151

151/2=75.5

75.5 is the median but its not listed in the table, so A.

The domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values

The sum notation is given as:

[tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex]

From the above notation, the smallest value of n is 1.

This means that the variable x can take any real value as it value

Hence, the domain of the notation [tex]s(x) = \sum\limits^{\infty}_{n=1} n^{-x}[/tex] is the set of all real values

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Answer:

b.  x + (x + 2) + (x + 4) = 39

Step-by-step explanation:

Definitions

The sum of three consecutive odd integers

Let x be the first odd integer.

As there is a difference of 2 between consecutive odd integers, the next odd integer after x will be (x + 2).

Therefore, the next odd integer after (x + 2) will be (x + 2) + 2 = (x + 4).

So "the sum of three consecutive odd integers is thirty-nine" is:

x + (x + 2) + (x + 4) = 39

To solve

⇒ x + (x + 2) + (x + 4) = 39

⇒ x + x + 2 + x + 4 = 39

⇒ 3x + 6 = 39

⇒ 3x = 33

⇒ x = 11

Therefore, the three consecutive odd numbers are 11, 13 and 15.

Mr. Rodriguez's bill after receiving a discount of 12 1/2% on each item is $140.30.

To calculate Mr. Rodriguez's bill after receiving a discount of 12 1/2% on each item, we need to find the discounted price for each item and then add them together to get the total bill.

First, let's calculate the discount for each item:

Jacket: 12.5% of $69.50

Discount on jacket = 12.5/100 * $69.50 = $8.69

Tie: 12.5% of $15.50

Discount on tie = 12.5/100 * $15.50 = $1.94

Raincoat: 12.5% of $75.35

Discount on raincoat = 12.5/100 * $75.35 = $9.42

Now, subtract the discounts from the original prices to get the discounted prices for each item:

Jacket price after discount = $69.50 - $8.69 = $60.81

Tie price after discount = $15.50 - $1.94 = $13.56

Raincoat price after discount = $75.35 - $9.42 = $65.93

Finally, add the discounted prices of all items to find the total bill:

Total bill = $60.81 + $13.56 + $65.93 = $140.30

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Answer:

Step-by-step explanation

Lines LP and QM are parallel, meaning KLP and QMN are supplementary

So KLP +QMN=180

3x+72=180

3x=108

x=36

Answer:

(14/3, 7/3)

Step-by-step explanation:

8-3=5, and 5/3+3=14/3.

5--3=8, and 8/3+5=7/3.

This has a ratio of 1:2 because the length is divided into three and 1 is separate from the other two.

Answer: 32

Step-by-step explanation:

The only numbers that can have 2 digits and two of which equal to five can only be:

3+2

2+3

4+1

1+4

So the numbers are: 41,14,23, and 32.

41-9=32

14-9=5

23-9=14

32-9=23

Since the question is asking for the number who’s difference is the reverse of one of the numbers. The only possible answer is 32 because 32-9= 23. (23 is the reverse of 32)

Hello,

We have : (a + b)² = a² + 2ab + b²

4x² + 20x + 25 = (2x)² + 2 × 2x × 5 + 5² = (2x + 5)² → answer B

Here, we have a = 2x and b = 5 !

Answer:

[tex]\textsf{b.} \quad (2x+5)^2[/tex]

Step-by-step explanation:

Given quadratic equation:

[tex]4x^2+20x+25[/tex]

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex].

[tex]\implies ac=4 \times 25=100[/tex]

[tex]\implies b=20[/tex]

Factors of 100 that sum to 20:   10 and 10

Rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies 4x^2+10x+10x+25[/tex]

Factorize the first two terms and the last two terms separately:

[tex]\implies 2x(2x+5)+5(2x+5)[/tex]

Factor out the common term (2x + 5):

[tex]\implies (2x+5)(2x+5)[/tex]

Simplify:

[tex]\implies (2x+5)^2[/tex]

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Answer:

Step-by-step explanation:

PQS and RQS are supplementary

PQS +68=180

PQS =112

x+ 112+TSQ=180

4x=3x+TSQ

TSQ=x which means

2x+112=180

2x=68

x=34

Answer:

6.4

Step-by-step explanation:

Use the triangle angle bisector theorem.

4.9/2.6 = AC/3.4

2.6AC = 4.9 × 3.4

AC = 6.40769...

Answer: 6.4

Answer:

Step-by-step explanation:

the answer is

$194 (start) / 100 (100%) = $1.94 (1%)

$1.94 * 7 = $13.58 (7%)

$13.58 * 13 (13 years) = $176.54

$194 (start) + $176.54 (interest) = $370.54

the interest on $194 at 7% interest rate for 13 years is approximately $176.54.

To find the interest on $194 at an annual interest rate of 7% for 13 years, we can use the formula for simple interest:

Interest = Principal * Rate * Time

Where:

Principal = $194 (initial amount)

Rate = 7% (convert to decimal: 7% = 0.07)

Time = 13 years

Now, plug in the values:

Interest = $194 * 0.07 * 13

Calculate the interest:

Interest = $194 * 0.91

Interest ≈ $176.54

So, the interest on $194 at 7% interest rate for 13 years is approximately $176.54.

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