Two spheres have radii 6 and 15. Find the ratios of the areas and the volumes.

Answer: $96.25

Step-by-step explanation:

Take 89.75 divided by 100% = 0.8975

Then times 7.25% = $6.5

Total is 89.75 + 6.5 = $96.25

Answer: you already put the answer P+c=9

18c = 252

Step-by-step explanation:

Answer:

8 Tickets

Step-by-step explanation:

40 / 5 = 8

Answer:

19,188

Step-by-step explanation:

hope this helps ;)

a) The experimental units are the Acacia Trees.

b) The treatments carried used are; active beehives, empty beehives and no single beehive.

c) The response variable is the damage that the elephants caused to the trees.

Experimental design is defined as the process of carrying out research in a manner that is objective and controlled such that precision is maximized and then specific conclusions can possibly be drawn regarding a hypothesis statement. Generally, the purpose of this is to establish the effect that a factor or independent variable has on a dependent variable.

From this question, it is very clear that the experimental units are the Acacia Trees. This is because they are the primary interest or objective of the research.

The treatments carried out here are the active beehives, empty beehives and no single beehive.

The response variable is defined as the result of the experiment where the explanatory variable is manipulated. In this case, the response variable is the damage that the elephants caused to the trees.

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Using the AAA Congurrency Property the triangles ABE and CBD are congurent

What is Congurence of Triangles?

If all three corresponding sides are equal and all three corresponding angles are identical in measure, two triangles are said to be congruent. These triangles can be moved, rotated, flipped, and turned to look exactly the same.

Solution:

Given that: AB = BC and

Angle ABE = Angle CBD

Since, AB = BC, this implies that the angles opposite to them are also equal, thus Angle BAE = Angle BCD

Also, using the sum property of interior angle of a triangle

BAE + ABE + BEA = 180 -----------(i)

BCD + CBD + BDC = 180 ----------(ii)

We can show that Angle BEA = Angle BDC

from above we know that all the angles of the trianngle BAE and Triangle BCD are equal

Using AAA Congurency rule,

Triangle ABE is ccongurent to Triangle CBD

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The perimeter of the triangle XYZ according to the midsegment theorem is 37

The midsegment theorem states that the segment that is obtained by joining the midpoints of two sides of a triangle is parallel to the third side and it is half the length of the third side of the triangle.

The specified parameters are;

The midpoint of \(\overline{XY}\) = A

The midpoint of \(\overline{YZ}\) = B

The midpoint of \(\overline{XZ}\) = C

The length of segment AC = 5

The length of segment BC = 6

The length of side XZ = 15

The segments AC, BC, and AB are midsegments of the triangle XYZ

According to the midsegment theorem, we get

AC = 0.5 × \(\overline{YZ}\)

BC = 0.5 × \(\overline{XY}\)

AB = 0.5 × \(\overline{XZ}\)

Therefore;

2 × AC = \(\overline{YZ}\)

2 × BC = \(\overline{XY}\)

2 × AB = \(\overline{XZ}\)

\(\overline{YZ}\) = 2 × 5 = 10 (substitution property)

\(\overline{XY}\) = 2 × 6 = 12 (substitution property)

The perimeter of the triangle = \(\overline{YZ}\) + \(\overline{XY}\) + \(\overline{XZ}\)
Plugging in the values, of \(\overline{YZ}\), \(\overline{XY}\), and \(\overline{XZ}\)  we get;

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The distance between the point P and the line is 3√(2/3) units.

Let's first find a point on the line and the direction vector of the line. The line is given in vector form as:

r(t) = ⟨-2, 4, 3⟩ + t⟨2, -1, 1⟩

A point on the line is ⟨-2, 4, 3⟩. The direction vector of the line is ⟨2, -1, 1⟩.

Now we want to find the distance between the point P = (1, 1, 0) and the line. We can use the formula for the distance between a point and a line in 3D:

d = |(P - Q) x d| / |d|

where Q is any point on the line, d is the direction vector of the line, and x denotes the cross product.

Let's choose Q = ⟨-2, 4, 3⟩. Then we have:

P - Q = ⟨1, 1, 0⟩ - ⟨-2, 4, 3⟩

= ⟨3, -3, -3⟩

Taking the cross product of (P - Q) and d, we get:

(P - Q) x d = ⟨3, -3, -3⟩ x ⟨2, -1, 1⟩

= ⟨0, -9, -9⟩

Taking the magnitude of d, we get:

|d| = √(2^2 + (-1)^2 + 1^2) = sqrt(6)

Putting everything into the formula for the distance, we get:

d = |(P - Q) x d| / |d|

= |⟨0, -9, -9⟩| / √(6)

= 3√(2/3)

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Answer:

2 cos (x + pi/2)

Step-by-step explanation:

Of the choices given, this looks like a cos curve that is shifted to the Left by pi / 2  and   multiplied to give an amplitude of 2

Answer:

15.9

Step-by-step explanation:

I don't know if this is right I'm sorry if it isn't.

15×0.06=0.9

15+0.9= 15.9

Again I am sorry if it is not right, please let me know if it was right

Answer: 2203.96

Step-by-step explanation:

Answer:

(x,y) -> (5,4)

Step-by-step explanation:

there is a positive slope.

The majority of business owners avoid flood insurance.

Inferential statistics enables you to draw conclusions ("inferences") from descriptive statistics, which describes data (such as a chart or graph). Using inferential statistics, you can draw conclusions about a population using data from samples. Using inferential statistics, you can try to discover whether the sample data from a tiny sample of people can forecast whether the medication will be effective for everybody (i.e. the population). There are several techniques to accomplish this, including post-hoc (advanced) testing and generating a z-score, which shows where your data would fall in a normal distribution.

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The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

When charged electrons (current) are forced through a conducting loop by the weight of an electrical raceway power source, they can perform tasks like lighting a lamp. In a nutshell, voltage equals pressure and is expressed in volts (V).

Here,

The voltage generated by the uv spectrophotometer is inversely proportionate to the amount of light present and linearly proportional to the sample's absorbance.

This indicates that as the sample's absorbance rises, so does the energy the colorimeter generates.

Similar to this, the voltage generated by the colorimeter rises as light strength falls.

The Beer-Lambert Law, which says that a sample's absorbance is directly proportional to its concentration of the absorbing substance and its path length and inversely proportional to incident light intensity, describes this connection.

The colorimeter detects the voltage created when sunlight penetrates the specimen, so the voltage created is exactly proportional to the absorbance of the sample.

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(i) The implicit solution for the differential equation (3x² - y²) dx + (xy-2x³y) dy = 0 is F(x,y) = C, where C is an arbitrary constant.

(ii) The general solution for the differential equation (2y²-xy) dx + x² dy = 0 is y = x²/(2x-3), where x is the variable.

(iii) The implicit solution for the differential equation 5(x² + y²) dx + 7xy dy = 0 is F(x,y) = C, where C is an arbitrary constant.(i) To solve the differential equation (3x² - y²) dx + (xy-2x³y) dy = 0, we can use the method for solving homogeneous equations. By dividing both sides of the equation by x², we obtain (3 - (y/x)²) dx + (y/x - 2xy²) dy = 0. Let u = y/x, so du = (dy/x) - (y/x²) dx. Substituting these into the equation, we get (3 - u²) dx + (u - 2xu²) (du + u dx) = 0. Simplifying and integrating, we can find an implicit solution in the form F(x,y) = C, where C is an arbitrary constant.

(ii) For the differential equation (2y²-xy) dx + x² dy = 0, we can again use the method for solving homogeneous equations. By dividing both sides of the equation by y², we obtain (2 - (x/y)) dx + (x²/y²) dy = 0. Let u = x/y, so du = (dx/y) - (x/y²) dy. Substituting these into the equation, we get (2 - u) dx + u² (du + u dy) = 0. Simplifying and integrating, we find that y = x²/(2x-3) represents the general solution, where x is the variable.

(iii) In the differential equation 5(x² + y²) dx + 7xy dy = 0, the coefficients of dx and dy are homogeneous of the same degree. By dividing both sides of the equation by x² + y², we obtain 5(dx/dt) + 7(y/x) (dy/dt) = 0, where t = y/x. This can be rewritten as 5 dx + 7t dt = 0. Integrating, we obtain 5x + 7ty = C, where C is an arbitrary constant. This represents an implicit solution in the form F(x,y) = C.

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b) in both cases (frictionless table or non-zero friction), it is not possible for m1 to remain stationary.

To find the accelerations of each mass and the tension in the ropes, we need to analyze the forces acting on the system.

Let's consider the following variables:

- m1: mass of object 1

- m2: mass of object 2

- a1x: acceleration of object 1 in the x-direction

- a1y: acceleration of object 1 in the y-direction

- a2x: acceleration of object 2 in the x-direction

- a2y: acceleration of object 2 in the y-direction

- T1: tension in the rope connected to object 1

- T2: tension in the rope connected to object 2

Now, let's address each part of the question:

b.) If m1 was instead zero, what would be the acceleration of m2?

In this case, since m1 is zero, there is no mass on the left side of the pulley. The tension in the rope T1 becomes zero as well. The only force acting on m2 is the force due to its own weight (mg). Therefore, we have:

m2 * a2y = m2 * g

a2y = g

c.) If m2 was instead zero, what would be the acceleration of m1?

Similarly, if m2 is zero, there is no mass on the right side of the pulley. The tension in the rope T2 becomes zero. The only force acting on m1 is its weight (m1 * g). Hence:

m1 * a1y = m1 * g

a1y = g

The answers from part b and c show that if one of the masses is zero, the acceleration of the other mass will be equal to the acceleration due to gravity (g).

Now, let's move on to part A:

a.) With this pulley setup (and a non-zero m2), is it possible for m1 to remain stationary?

No, it is not possible for m1 to remain stationary in this setup with a non-zero m2. The tension in the rope T1 will always be non-zero and will cause m1 to accelerate. The presence of mass m2 creates a net force that will cause m1 to move.

b.) What about if the table was not frictionless?

If the table is not frictionless, there will be an additional force acting on the system due to friction. This frictional force will further accelerate or decelerate the masses depending on its direction. In this case, m1 will also experience a frictional force that will prevent it from remaining stationary, even with a non-zero m2.

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Answer:

y = -1x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

7(x-2) -3(x+3) = 5(x-3) +x , distribute in parenthesis

7x -14 -3x -9 = 5x -15 +x , isolate like terms

7x -3x -5x -x = 14 +9 -15, combine like terms

-2x = 8, divide both sides by -2

x= -4

Answer:

can you please make your question clear

The problem is a long division problem.

The first step is done, which is "Divide 1st term of the dividend by the first term of the divisor to get the first term of the quotient"

The second step is done too, and it is to take the term found in step 1 and multiply it times the divisor, then put the result under the dividend.

The next step is to subtract this line from the line above, it is to subtract 8x^2-28x from 8x^2+6x, which obtains 0+34x.

The next step is to bring down -5 and form the new dividend 34x-5

Answer: Term

Step-by-step explanation: Variable is x, constant is not x4. Term is a group like 4x or 7y.

Answer:

# of quarters: 12 # of dimes: 7

# of large boxes:  14 # of small boxes: 12

Step-by-step explanation:

Problem 1: Dimes and Quarters

Let q represent the number of quarters
Let d represent the number of dimes

We have as a first equation
q + d = 19  (1)

Each quarter is worth $0.25 so q quarters worth = 0.25q

Each dime is worth $0.10 so d dimes worth = 0.10d = 0.1d

Total value of q quarters and d dimes
0.25q + 0.1d = 3.70 (2)

We have two equations in 2 variables which can be solved as follows

Verify:
12 x 0.25 + 7 x 0.10 = 3.70

Problem 2: Apricots

Solution strategy is the same as Problem 1 so I am skipping lengthy explanations

Let L be the number of large boxes, S be the number of small boxes

We have
L + S = 26   (1)

Total cost of boxes

7L + 4S = 146  (2)

Multiply equation (1) by 4 :
4L + 4S = 4 x 26 = 104  (3)

Subtract (2) from (3):
7L + 4S - (4L + 4S) = 146 - 104
3L = 42
L = 42/3 = 14

Substitute in (1)
14 + S = 26
S = 26-14
S = 12

So there are 14 large and 12 small boxes

Check:
14 x 7 + 12 x 4 = 146

Answer:

girls = 20

boys = 15

Step-by-step explanation:

boys = 3/4 x  = .75x

girls = x

x + .75x = 35

1.75x = 35

x = 35/1.75

x = 20

girls = 20

boys = 3/4 * 20 = 15

boys = 15

The solutions to the given equation on the interval 0≤x<2π. −8sin(5x)=−4√ 3 The solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

To find the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π, we can start by isolating the sine term.

Dividing both sides of the equation by -8, we have:

sin(5x) = √3/2

Now, we can find the angles whose sine is √3/2. These angles correspond to the angles in the unit circle where the y-coordinate is √3/2.

Using the special angles of the unit circle, we find that the solutions are:

x = π/3 + 2πn

x = 2π/3 + 2πn

where n is an integer.

Since we are given the interval 0 ≤ x < 2π, we need to check which of these solutions fall within that interval.

For n = 0:

x = π/3

For n = 1:

x = 2π/3

Both solutions, π/3 and 2π/3, fall within the interval 0 ≤ x < 2π.

Therefore, the solutions to the equation -8sin(5x) = -4√3 on the interval 0 ≤ x < 2π are:

x = π/3 and x = 2π/3.

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Answer:

x = 44-y

Step-by-step explanation:

She has 44 glasses.  The number of glasses of lemonade, y, and the number of glasses of ice tea, x,  totals 44

x+y = 44

We want the number of glasses of ice tea

x = 44-y

If Ridgewood Savings Bank charges a $27 per check overdraft protection fee. The amount she will owe the bank after July 12 is: $1,071.42.

Total obligation can be defined as the amount a person owe another person or the debt amount a borrower  is expected to payback to a lender.

Balance $1,400

July 9 check ($1,380.15)

Balance $19.85

July 10 check ($765.67)

($670 + $95.67)

Balance -$745.82 (Overdraft)

Now let find the amount she owe

Balance -$745.82

July 11 check $130

Balance -$875.82

July 12 check $87.60

Ending balance -$963.42

Overdraft fee $108

($27 ×4)

Total obligation -$1,071.42

Therefore her total obligation is $1,071.42.

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Answer:

Step-by-step explanation:

F = ma

ma = F

a = F/m

Answer:

the second one is your answer

Step-by-step explanation:

hope this helped mark me brainlest pls and thank you