A population of 40 foxes in a wildlife preserve quadruples in size every 13 years. The function y=40•4x​, where x is the number of 13​-year ​periods, models the population growth. How many foxes will there be after 26 ​years?

Step-by-step explanation:

6(8x+5)

Use the distributive property to multiply 6 by 8x+5.

48x+30

Hope it Helps!

Answer:

Diagonals of a kite are perpendicular.

The measures of the angles of the triangles are

The measure of ∠B = 80.3°

The measure of ∠C = 59.7°

The length of side AB = 20.2 units

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side AC = 23

The measure of side BC = 15

The measure of ∠A = 40°

From the law of sines , we get

( sin A ) / a = ( sin B ) / b = ( sin C ) / c

Substitute the value of A and a in the equation , we get

sin ( 40 )° / 15 = sin B / 23

On simplifying the equation , we get

sin B = ( 23/15 ) x sin ( 40 )°

Now , m∠B = 80.27°

So , the measure of angle ∠B = 80.3°

And ,

The interior angles of a triangle is 180°

So , The measure of angle ∠C = 180° - ( 80.3° + 40° )

On simplifying the equation , we get

The measure of angle ∠C = 59.7°

Now ,

From the law of cosines , c² = a² + b² - 2ab ( cos C )

Substitute the value of a , b and cos C in the equation , we get

c² = 15² + 23² - 2 ( 15 ) ( 23 ) cos ( 59.7 )°

On simplifying the equation , we get

c² = 225 + 529 - 348.12363

c² = 405.87

Taking square roots on both sides of the equation , we get

c = 20.156

c = 20.2 units

Therefore, the measure of side AB = 20.2 units

Hence , the measures angles of triangle is solved

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Answer:

Yes, Rudy is correct

Explanation:

Number of sides of a hexagon = 6

The sum of all interior angles of a polygon with n sides  = (n-2)*180

Here, since a regular hexagon has 6 sides, n = 6

= (6 - 2)*180

= 4*180

= 720 degrees

Hope it helps :)

Have a great day!

Answer:

Step-by-step explanation:

To find the number Katherine should multiply the prices on the tags by to find the price she would have to pay before tax, we need to calculate the inverse of the discount percentage, which is 1 - (discount percentage / 100).

Given that the discount is 3% and we want to find the price after the discount, that means:

1 - (3/100) = 1 - 0.03 = 0.97

So, the number Katherine should multiply the prices on the tags by to find the price she would have to pay, before tax, in one step, is 0.97. Multiplying the price of an item by 0.97 is equivalent to subtracting 3% from the original price, which is the same as finding the final price after the discount.

For example, if an item is priced at $10, Katherine can multiply this by 0.97 to find that the final price she would have to pay before tax is $9.7

10*0.97 = 9.7

A logarithmic function is a type of inverse function.

A logarithmic function is a type of inverse function that is commonly used in mathematics and science. It is typically written in the form of y = log base b (x), where b is the base of the logarithm, and x is the input value. The most common bases for logarithms are 10 (common logarithm) and e (natural logarithm).

The logarithmic function is the inverse of the exponential function with base b. This means that if y = log base b (x) then x = b^y

One way to describe a logarithmic function is to say that it represents the exponent to which the base number must be raised in order to produce the input value x. For example, log base 10 of 100 is 2, because 10^2 = 100.

Another way to describe a logarithmic function is to say that it is a way of expressing very large or small numbers in a more manageable form. For example, instead of expressing a number like 10^9 as 1 billion, it can be expressed as 9 using a logarithm to base 10.

It is also important to note that logarithmic function have some key characteristics such as:

The domain of a logarithmic function is x>0, since the logarithm of a non-positive number is undefined.

The range of a logarithmic function is all real numbers.

The graph of a logarithmic function has a vertical asymptote at x=0, since the logarithm of a non-positive number is undefined.

A logarithmic function is increasing over its domain and concave down.

The x-intercept of the graph is (1,0), since the logarithm of 1 is always 0.

Overall, logarithmic functions are mathematical tools that allow us to simplify the representation and manipulation of very large and small numbers, and are used in many areas of science and engineering.

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Answer:

C

Step-by-step explanation:

Y - 4 = -2x + 10 Multiply -2 to the inside the brackets

Y = -2x + 14 Add the 4 over

The amount of the proposed increase is, Rs 1071.4

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The annual gym subscription for a single member is Rs.1000,

And, An annual family membership is Rs.1500.

Here, A single membership increased cost 5/7 of a family membership.

Hence, The increased cost = 5/7 of 1500

                                          = 1071.4 Rupees

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Answer: About 62 pounds of organic lettuce

2.75x+50=220

Solve for x

x=61.81(repeating)

Answer:

Hi.

three fifth of 200 is 120.

Answer:

D

Step-by-step explanation:

A Gradient is also called a slope of a line, which represents how steep a line is.

Formula of slope: Vertical difference ÷ Horizontal difference

For a slope to be zero, the line must be horizontal.

Based on the question given, we can deduce that D is a horizontal line and therefore the slope is zero.

Answer:

the answer would be seven hundred

8,000

700

60

5

hope this helps :)

The value of 7 in the number represents 100th place.

The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

The precise position of a number within a series is assigned a value by a place-value system.

The given number is 8765 in the number 7 is representing 100th place. The expanded form of the number can be written as:-

8765 = 8000 + 700 + 60 + 5

Here in the expanded form, it is observed that 7 is the 100th place of the number.

Therefore, the value of 7 in the number represents the 100th place.

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Answer:

Step-by-step explanation:

How many carrots are in a can?  is that the question ?  :DDDDD

15/16   and  1/4 = 4/16 sooo

4*3 = 12

so three full servings  and one that is  3/4 full  

so 3

Answer:

I believe this is the only answer I got from you bro.

hope it helps.

Answer:

33=2x+y, 48=3x+y

Step-by-step explanation:

Sorry my internet isn't working well. Go to math-way and put that in and it will give you the answer :)

Answer:21

Step-by-step explanation:

The car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet

In order to determine the distance that the car has travelled, we will use the formula for calculating the circumference of a circle expressed as:

C = 2πr

r is the radius of the fairy wheel

Given the following parameters

radius = 20 feet

Substitute into the formula of the circumference:

[tex]C = 2(3.14)(20)\\C = 40(3.14)\\C = 125.6 feet[/tex]

This shows that the car on a Ferris wheel with a radius of 20 feet. travels a distance of 125.6 feet

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If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram.

Option (d) is the correct choice.

A parallelogram is a straightforward quadrilateral with two sets of parallel sides in Euclidean geometry. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of similar size.

A parallelogram has the following qualities:

The opposing sides are equally spaced and parallel.

Angles on either side are equal.

The following or neighboring angles are supplemental.

All of the angles will be at right angles if any one of them is a right angle.

The two diagonals cut across one another.

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Answer:

9 brownies

Step-by-step explanation:

Since we are not given the total number of batches. Let us assume the total batches is 81

If each brownie is 1/9 of a batch, number of brownie made will be equivalent to:

Amount of brownie made = 1/9 × 81

Amount of brownie made = 81/9 = 9 brownies

Hence he made 9 brownies

Answer: 95%

Step-by-step explanation:

i kinda slayed

Using the empirical rule, for normal distribution is 68 % of his commutes will be between 23.5 and 32.5 minutes

The normal distribution is a probability distribution used to calculate probability for continuous variables.

Here, we have,

to find what percentage of his commutes will be between 23.5 and 32.5 minutes using the empirical rule:

Now, since gabriel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes, we need to find the percentage of his commutes will be between 23.5 and 32.5 minutes using the empirical rule.

First, we need to find how many standard deviations away from the mean each value is using the z-score

Z = (x - μ)/σ where

x = value,

μ = mean and

σ = standard devation

For x = 23.5, we have

Z = (x - μ)/σ

Z = (23.5 - 28)/4.5

Z = -4.5/4.5

Z = -1

Z = -1σ

Also, for x = 32.5, we have

Z = (x - μ)/σ

Z = (32.5 - 28)/4.5

Z = 4.5/4.5

Z = 1

Z = 1σ

So, we have that -1σ ≤ (x - μ) ≤ 1σ

So, the values between 23.5 and 32.5 minutes lie within one standard deviation.

Using the empirical rule, this is 68 % of the values.

So, 68 % of his commutes will be between 23.5 and 32.5 minutes

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complete question:

when gabriel commutes to work, the amount of time it takes him to arrive is normally distributed with a mean of 28 minutes and a standard deviation of 4.5 minutes. using the empirical rule, what percentage of his commutes will be between 23.5 and 32.5 minutes?

The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

What is the right triangle?

A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.

To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.

We know that angles 1, 2, and 3 form a triangle, so we can write:

m∠1 + m∠2 + m∠3 = 180

Substituting the given values, we get:

m∠1 + m∠2 + 80 = 180

Simplifying, we get:

m∠1 + m∠2 = 100

We also know that angles 2, 3, and 4 form a triangle, so we can write:

m∠2 + m∠3 + m∠4 = 180

Substituting the given values, we get:

m∠2 + 80 + 85 = 180

Simplifying, we get:

m∠2 = 15

Substituting this value in the first equation, we get:

m∠1 + 15 = 100

Simplifying, we get:

m∠1 = 85

Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

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Answer:

Step-by-step explanation:

The measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

What is the right triangle?

A right-angle triangle is a triangle that has one of its angles 90 degrees. The sum of angles in a right triangle is 180 degrees.

To find the measures of angles 1 and 2, we can use the fact that the sum of the angles in a triangle is 180 degrees.

We know that angles 1, 2, and 3 form a triangle, so we can write:

m∠1 + m∠2 + m∠3 = 180

Substituting the given values, we get:

m∠1 + m∠2 + 80 = 180

Simplifying, we get:

m∠1 + m∠2 = 100

We also know that angles 2, 3, and 4 form a triangle, so we can write:

m∠2 + m∠3 + m∠4 = 180

Substituting the given values, we get:

m∠2 + 80 + 85 = 180

Simplifying, we get:

m∠2 = 15

Substituting this value in the first equation, we get:

m∠1 + 15 = 100

Simplifying, we get:

m∠1 = 85

Therefore, the measure of m∠1 = 85 degrees and m∠2 = 15 degrees.

The correct answer is option D: ∠1 = 85°, m∠2 = 15°.

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Answer:

B. 73°

Step-by-step explanation:

Answer:

Multiply the x by 5 to get the y

Answer:

[tex]x = 11[/tex]

Step-by-step explanation:

[tex] \frac{12x + 8 - 4x + 4}{2} = 50[/tex]

[tex] \frac{8x + 12}{2} = 50[/tex]

[tex]8x + 12 = 100[/tex]

[tex]8x = 88[/tex]

[tex]x = 11[/tex]

Answer:

1.1^2 = 1.21

1.21 x 3.14 = 3.7994

3.7994 x 2.9 = 11.01826

11.01826 divided by 3 = 3.67275333333 rounded = 3.7 m3

Projective tests are created so that the test taker cannot tell what they are testing for.

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Answer:

smaller/ less than

Answer:

less than

Step-by-step explanation:

On a number line, the values go from least to greatest, left to right. So if you go towards the left, the number is decreasing.