A zoo has an equal number of African elephants and Asian elephants. The African elephants cost £11 per day to feed and the Asian elephants cost £9 per day to feed. The total daily bill for feeding all of the zoo's elephants is £1000. How many elephants does the zoo have?

Answer:

\(a_{15}=-268,435,456\)

Step-by-step explanation:

First, find what factor each term is multiplied by to get to the next. To do this, divide the second term by the first, the third term by the second, etc

\(4\div-1=-4\\-16\div4=-4\\64\div-16=-4\)

The common factor is 4. Using that, you can now write the equation for the geometric sequence in the form of:

\(a_n=a_1x^{n-1}\)

It looks scarier than it is. aₙ is the nth term in the sequence, x is the factor, and n is the index in the sequence, that's all it is.

Plug in the information we have to get the equation for this sequence:

\(a_n=(-1)(-4)^{n-1}\)

Then, you can solve for the 15th term:

\(a_{15}=(-1)(-4)^{15-1}\\a_{15}=(-1)(-4)^{14}\\a_{15}=(-1)(268,435,456)\\a_{15}=-268,435,456\)

Basically, just raise the scale factor to the power of the term you want minus 1, then multiply that by the first number.

The radius, r, is half the diameter.

Given, diameter = 6, the radius will be 6/2 = 3

Putting this into the volume of a sphere formula, we get:

First blank box >>> 3

Now,

We can find (4/3)π using 3.14 as π and (3)^3 is "27".

Thus,

These are the second and third blanks.

Multiplying, we get:

V = 113.04 >>> this is the fourth blank

Convince Me

The volume of a cone is given by the formula

If the radius is same as sphere, then it's "r".

The height of a sphere is twice radius, or, 2r. So, that's the height of the cone as well, thus we have:

Answer: X=19

Step-by-step explanation:

Add up everything and set it to 180 degrees so (5x+4)+(x-2)+(3x+7)=180

next 9x+9=180

then 9x=171

x=19

If you want to check by pluggin in value for x for all angles and it should equal 180 added up

Angle POS= 99

Angle SOR= 17

Angle ROQ= 64

99+17+64=180 degrees

Answer:

i have made it in above picture

hope it helps

Answer:

B

Step-by-step explanation:

Pls brain list if right :>

Answer:

If ABCD is congruent to RSTU

AB≅RS

BC≅ST

CD≅TU

AD≅RU

and ∠A≅CR

∠B≅∠S

∠C≅T

∠D≅CU

ANSWER: ∠A≅∠U

------------------------------

hope it helps...

have a great day!!

Answer:

16 , step 2 is written incorrectly but I think they want it to be 4 & 19, step 3 is 4 & 19. BTW this is a poorly written question!

Answer: 2.19 pounds

Step-by-step explanation:

35 / 16 is 2.1875, if you round that you get 2.19

Answer:

D. no solutions

Answer:

After 4secs

Step-by-step explanation:

Given the function of the height expressed as;

h(t)=-16^2 + initial height

If initial height = 256, then;

h(t) = -16t^2 + 256t

The pebble will hot the ground at when h(t) = 0

Substitute

0 = -16t^2 + 256t

16t^2 = 256

t^2 = 256/16

t^2 = 16

t = 4

Hence the pebble will hit the ground after 4secs

Answer:

AB

Step-by-step explanation:

The diameter has to pass  through the center of the circle and tough the outside of the circle on both ends

The diameters are

DE and AB

They can also be written as

ED and BA

Answer:

option A :  AB

Step-by-step explanation:

The diameter is the length of the line through the center that touches two points on the edge of the circle.

Both AB and DE are diameters.

Therefore, Option A : AB

Answer:

10 cm

Step-by-step explanation:

Diameter= 2X radius

20/ 2 = radius

20/2 = 10 cm

The statement that true is the central limit theorem is applicable only for data sets comprising thirty or more samples.

Limit in common language means limit.

The definition of this limit states that a function f(x) will approach a certain value if x approaches a certain value.

This approximation is limited between two very small positive numbers known as epsilons and deltas.

The relationship between these 2 small positive numbers is summarized in the definition of limit.

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If the students made 105 pink baskets, then they made 120  green baskets.

Multiplication is a mathematical arithmetic operation. It is also a process of adding the same types of expression some number of times.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

The sixth graders at Elmtree Middle School made spring baskets for patients at a nearby hospital.

All the baskets were either green or pink.

The students made 8 green baskets for every 7 pink baskets.

If the students made 105 pink baskets,

then the number of green baskets,

= 105/7 x 8

= 15 x 8

= 120

Therefore, 120 green baskets for the patients.

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Answer:

120 green baskets

Step-by-step explanation:

The way I did it was confusing, so I hope you can get help with it elsewhere. Goodluck!

Ik its right cause I did it On IXL

When the graph is decreasing, the rectangles give an underestimate and when the graph is increasing, they give an overestimate. These trends are accentuated to a greater extent by areas of the graph that are steeper.

We only need to add up the areas of all the rectangles to determine the area beneath the graph of f. It is known as a Riemann sum. The area underneath the graph of f is only roughly represented by the Riemann sum. The subinterval width x=(ba)/n decreases as the number of subintervals n increases, improving the approximation. Increased sections result in an underestimation while decreasing sections result in an overestimation. We now arrive at the middle rule. The height of the rectangle is equal to the height of its right edges for a right Riemann sum and its left edges for a left Riemann sum. The rectangle height is the height of the top edge's midpoint according to the midpoint rule, a third form of the Riemann sum.

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The equation's answer is x = 7.5. 4x - 1 2 = x + 7.

x = 1 is the answer to the problem 3x + 2 = (2x + 13) 3.

a) To solve the equation 4x - 1 ÷ 2 = x + 7, we need to isolate the variable x. Let's follow the steps:

1: Distribute the division operation to the terms inside the parentheses.

  (4x - 1) ÷ 2 = x + 7

2: Divide both sides of the equation by 2 to isolate (4x - 1) on the left side.

  (4x - 1) ÷ 2 = x + 7

  4x - 1 = 2(x + 7)

3: Distribute 2 to terms inside the parentheses.

  4x - 1 = 2x + 14

4: Subtract 2x from both sides of the equation to isolate the x term on one side.

  4x - 1 - 2x = 2x + 14 - 2x

  2x - 1 = 14

5: Add 1 to both sides of the equation to isolate the x term.

  2x - 1 + 1 = 14 + 1

  2x = 15

6: Divide both sides of the equation by 2 to solve for x.

  (2x) ÷ 2 = 15 ÷ 2

  x = 7.5

Therefore, x = 7.5 is the solution to the equation 4x - 1 ÷ 2 = x + 7. However, note that this answer is not an integer, so it may not be valid for certain contexts.

b) To solve the equation 3x + 2 = (2x + 13) ÷ 3, we can follow these steps:

1: Distribute the division operation to the terms inside the parentheses.

  3x + 2 = (2x + 13) ÷ 3

2: Multiply both sides of the equation by 3 to remove the division operation.

  3(3x + 2) = 3((2x + 13) ÷ 3)

  9x + 6 = 2x + 13

3: Subtract 2x from both sides of the equation to isolate the x term.

  9x + 6 - 2x = 2x + 13 - 2x

  7x + 6 = 13

4: Subtract 6 from both sides of the equation.

  7x + 6 - 6 = 13 - 6

  7x = 7

5: Divide both sides of the equation by 7 to solve for x.

  (7x) ÷ 7 = 7 ÷ 7

  x = 1

Hence, x = 1 is the solution to the equation 3x + 2 = (2x + 13) ÷ 3.

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The group of rational numbers Q is isomorphic to the group of nonzero rational Q∗, but it is not isomorphic to the group of integers.

An isomorphism is a bijective function that preserves the group structure. In the case of the groups Q, Z, and Q∗, we can analyze their properties to determine if any isomorphisms exist.

Q and Q∗ both have the same operation (ordinary addition), and they are both abelian (commutative) groups. This means that the group of rational numbers Q is indeed isomorphic to the group of nonzero rationals Q∗.

On the other hand, the group of integers Z under ordinary addition is not isomorphic to Q. The main reason is that Z has no nonzero elements with inverses, whereas Q does. In Z, there is no integer that can be multiplied by another integer to give a nonzero integer (since integer multiplication does not preserve the property of being nonzero).

Therefore, while Q is isomorphic to Q∗ due to their similar group structures, it is not isomorphic to Z because of the difference in their algebraic properties.

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Answer:

32 days

Step-by-step explanation:

260 ÷ 8 1/8 =

convert the fraction to a decimal

1 ÷ 8 = 0.125

260 ÷ 8.125 = 32

Step-by-step explanation:

some to check if it correct

The length of the  line segment AB is 8.48 unit.

The term used for identifying the size of an object or the distance from one point to another is known as length.

The length of the line segment having endpoints A (x1, y1) and B (x2, y2) can be determined using the formula,

\(AB=\sqrt{(x_{2} ^{2} -x_{1} ^{2} )+(y_{2} ^{2} - y_{1} ^{2} )}\)

Given that x1 = -1, x2= 11, y1= 7, and y2= -1.

Substituting the given values in the above equation

\(AB=\sqrt{(11^{2}-(-1)^2 )+((-1)^2-7^2)}\)

\(AB=\sqrt{72} = 8.48\)

Hence, 8.48 unit is the length of line segment AB.

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Answer:

0.48 feets

Step-by-step explanation:

Given that :

Length of stone = x

Number of stones used = 25

Length of path made from the stones = 12 feets

Hence. The length of each stone could be obtained by dividing the length of path by the number of stones used :

length of path / number of stones

= 12 feets / 25

= 0.48 feets

Hence length of each stone = 0.48 feets

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

Year    Feet

1999     3893

2005    3425.6  

Change

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.

Answer:

Its C

Step-by-step explanation:

The question asks to estimate the rainfall at station D in the year 1980 based on the rainfall data of other stations. The answer is that station D's rainfall in 1980 can be estimated by comparing the rainfall patterns of all stations in the basin.

To estimate the rainfall at station D in 1980, we can analyze the relationship between the rainfall at different stations. In this case, we can observe that there is a correlation between the annual rainfall at stations A, B, C, and D. By comparing the rainfall patterns of these stations, we can make an estimation for station D.

In the given data, station D is inoperative in 1980, but the rainfall data for stations A, B, and C are available. By analyzing the rainfall patterns in previous years and considering the correlation between the stations, we can estimate the rainfall at station D in 1980 based on the rainfall data of the other stations in the basin.

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Answer:

x = 39

Step-by-step explanation:

∠JKL and ∠LKM are complementary angles meaning they have a sum of 90° Knowing this, we can create an equation to solve for x.

2x - 14 + 26 = 90

2x + 12 = 90

2x = 78

x = 39

The minimum value of g(x) is 2.

To answer this question, we need to understand what is meant by "greater minimum". In mathematics, the minimum value of a function refers to the smallest possible output that the function can produce.

Therefore, a function with a greater minimum would have a smaller minimum value than a function with a lesser minimum.

Now, to determine which function has a greater minimum, we need to compare the minimum values of two functions. Let's take two simple functions as examples:

f(x) = x^2 + 1
g(x) = x^3 + 2

To find the minimum value of f(x), we can take the derivative of the function and set it equal to zero:
f'(x) = 2x
2x = 0
x = 0

Now we plug in x = 0 into the original function to find the minimum value:
f(0) = 0^2 + 1
f(0) = 1

Therefore, the minimum value of f(x) is 1.

To find the minimum value of g(x), we follow the same process:
g'(x) = 3x^2
3x^2 = 0
x = 0

g(0) = 0^3 + 2
g(0) = 2

Therefore, the minimum value of g(x) is 2.

Comparing the minimum values, we can see that f(x) has a smaller minimum value than g(x).

Therefore, g(x) has a greater minimum than f(x).

In summary, the function with a greater minimum is the function that has a larger minimum value.

We can find the minimum values of two functions by taking their derivatives and solving for the critical points.

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Out of the given differential equations, only equation 3 is separable, and equation 4 is linear. The rest are nonlinear and neither separable nor linear.

The first-order differential equation dy/dx + exy = x2y2 is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term x2y2 in the equation makes it nonlinear, and the term exy makes it non-separable.

The differential equation y + ex * sin(x) = x3y' is neither separable nor linear. It is a nonlinear ordinary differential equation. The presence of the term ex * sin(x) and the term y' (derivative of y) make it nonlinear, and the term y makes it non-separable.

The differential equation ln(x) - x2y = xy' is separable but not linear. The terms ln(x) and x2y make it nonlinear, but it can be separated into two parts, one containing x and y and the other containing x and y'. Therefore, it is separable.

The differential equation dy/dx + cos(y) = tan(x) is linear but not separable. The terms cos(y) and tan(x) make it nonlinear, but it can be written in the form dy/dx + P(x)y = Q(x), where P(x) = cos(y) and Q(x) = tan(x). Therefore, it is a linear differential equation.

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The piece of carpet on each side of the floor will be 10.8 feet.

From the information, Amber wants to put a carpet on the floor of her bedroom and the floor is a square with an area of 7.29 square feet.

It should be noted that the side will be

= ✓7.29

= 2.7 feet.

Therefore, the perimeter will be found and this will be:

= 4 × side

= 4 × 2.7

= 10.8 feet

This illustrates the length.

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Answer:

85 points

Step-by-step explanation:

His total points will be 235+x

Number of tests will be 4

(235+x)/4 = 80

multiply by 4

235+x= 4*80

235+x= 320

x=320-235

x= 85

He has to get 85 points to average 80

Respuesta:

C: 10xy^4 + 3x^3y^2 - 6x^2y

¡¡Espero te sirva!!