Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.

Answer:

1/2

Step-by-step explanation:

There are two sides of a coin, therefor you have 1/2 a chance of getting heads or tails. 1/2=50%

Answer:

50%

Step-by-step explanation:

There are 2 sides of a coin which have an equal chance of landing on the visible side. In other words, they each have half of the chance, or 50%.

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Answer:

Let the bigger number be x.

x- 37976 = 48698

x= 48698 + 37976 = 86674

Step-by-step explanation:

Answer:

Step-by-step explanation:

The surface area of the solid formed is approximately, 598.3 in².

Surface area of the solid is the area covered by the solid all round.

The given parameters are:

Surface area of the solid formed = 5(10×10) + (0.5×10×8.67) + 3(10×1.83) = 598.3 in²

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Answer:

-3

Step-by-step explanation:

Equation: (x + 6) - 5 = -2

we want to isolate x

(x + 6) - 5 = -2              

          + 5    + 5      (add 5 to start getting x on its own)

x + 6 = 3                

  - 6      - 6                 (subtract 6 to isolate x)

x = -3

so, this answer was not provided, but is the correct answer.

The solution to this equation is -3,

so, the correct answer is: -3.

Here, we have,

given that,

Equation is:

(x + 6) - 5 = -2

we want to isolate x

(add 5 to start getting x on its own)

(x + 6) - 5+ 5 = -2 + 5                          

(subtract 6 to isolate x)

x + 6 - 6 = 3   - 6              

so, we get,                  

x = -3

so, the solution to this equation is -3,

so, the correct answer is: -3.

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Answer:

3

Step-by-step explanation:

Rewrite the logarithmic notation to index notation.

4^x=64

Change 64 to index notation

ie 64 = 4^3

Since the base is the same(4) cancel them out

You remain with x = 3

Answer:

Here's an answer so you can give the other person Brainly! :)

Step-by-step explanation:

And i'm pretty sure it's C: 25 :))))!

So the new coordinates of point C are (1, 2), and the image of Triangle ABC is congruent to the original triangle.

A triangle is a closed, two-dimensional geometric figure with three straight sides and three angles. It is one of the basic shapes in geometry and can be classified based on the length of its sides or the size of its angles. A triangle with all sides of equal length is called an equilateral triangle, while a triangle with two sides of equal length is called an isosceles triangle. A triangle with no sides of equal length is called a scalene triangle. Triangles can also be classified based on the size of their angles, with an acute triangle having all angles less than 90 degrees, a right triangle having one angle equal to 90 degrees, and an obtuse triangle having one angle greater than 90 degrees.

Here,

To find the new coordinates of point C after the rotation and translation, we need to perform each transformation separately and then combine them.

Rotation:

To rotate a point 180° counterclockwise about the origin, we switch the sign of both coordinates. Therefore, the new coordinates of point C after the rotation are (-3, -2).

Translation:

To translate a point to the right 4 and up 4, we add 4 to the x-coordinate and 4 to the y-coordinate. Therefore, the new coordinates of point C after the translation are (1, 2).

To determine if the image of Triangle ABC is similar or congruent to the original triangle, we need to compare the corresponding sides and angles of both triangles.

Since we performed a rotation of 180°, all the angles in the image triangle are congruent to the corresponding angles in the original triangle. Additionally, since we performed a translation, the sides of the image triangle are congruent to the corresponding sides of the original triangle. Therefore, the image triangle is congruent to the original triangle.

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The function notation of 9x + 3y = 12 is given as follows:

f(x) = 4 - 3x.

The function in the context of this problem is given as follows:

9x + 3y = 12.

The format for the function notation is given as follows:

Hence we must isolate the variable y, as follows:

3y = 12 - 9x

y = 4 - 3x (each term of the expression is divided by 3).

f(x) = 4 - 3x.

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Note that:

An origin-centered circle in 2D has a VC dimension of 3. This means that the circle can shatter any set of 3 points, but not any set of 4 points. In other words, there exists a set of 3 points that can be shattered by the circle, but for any set of 4 points, there exists at least one labeling of the points that the circle cannot produce.

An origin-centered sphere in 3D has a VC dimension of 4. This means that the sphere can shatter any set of 4 points, but not any set of 5 points. In other words, there exists a set of 4 points that can be shattered by the sphere, but for any set of 5 points, there exists at least one labeling of the points that the sphere cannot produce.

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Answer:

a. 135 g

b. 60.6 min

Step-by-step explanation:

a. What mass of Cu(s) is electroplated by running 28.5 A of current through a Cu2+ (aq) solution for 4.00 h? Express your answer to three significant figures and include the appropriate units.

The chemical equation for the reaction is given below

Cu²⁺(aq) + 2e⁻ → Cu(s)

We find the number of moles of Cu that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 28.5 A and t = time = 4.00 h = 4.00 × 60 min/h × 60 s/min = ‭14,400‬ s

So, n = It/F = 28.5 A × ‭14,400‬ s/96485 C/mol = ‭410,400‬ C/96485 C/mol = 4.254 mol

Since 2 moles of electrons deposits 1 mol of Cu, then 4.254 mol of electrons deposits 4.254 mol × 1 mol of Cu/2 mol = 2.127 mol of Cu

Now, number of moles of Cu = n' = m/M where m = mass of copper and M = molar mass of Cu = 63.546 g/mol

So, m = n'M

= 2.127 mol × 63.546 g/mol

= 135.15 g

≅ 135 g to 3 significant figures

b. How many minutes will it take to electroplate 37.1 g of gold by running 5.00 A of current through a solution of Au+(aq)?

The chemical equation for the reaction is given below

Au⁺(aq) + e⁻ → Au(s)

We need to find the number of moles of Au in 37.1 g

So, number of moles of Au = n = m/M where m = mass of gold = 37.1 g and M = molar mass of Au = 196.97 g/mol

So, n = m/M = 37.1 g/196.97 g/mol = 0.188 mol

Since 1 mol of Au is deposited  by 1 moles of electrons, then 0.188 mol of Au deposits 0.188 mol of Au × 1 mol of electrons/1 mol of Au = 0.188 mol of electrons

We find the time it takes to deposit 0.188 mol of electrons that are deposited from

nF = It where n = number of moles of electrons, F = Faraday's constant = 96485 C/mol, I = current = 5.00 A and t = time

So, t = nF/It

= 0.188 mol × 96485 C/mol ÷ 5.00 A

= ‭18173.30‬ C/5.00 A

= 3634.66 s

= 3634.66 s × 1min/60 s

= 60.58 min

≅ 60.6 min to 3 significant figures

Answer:

are you Philippines ty points

Answer:

a₂₁ = 41

Step-by-step explanation:

The nth term of an AP is

\(a_{n}\) = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 1 and d = a₂ - a₁ = 3 - 1 = 2 , then

a₂₁ = 1 + (20 × 2) = 1 + 40 = 41

Answer

A(-10, 9), A'(-4, 9)

B(-4, 2), B'(-10, 2)

C(-7, 9), C'(-7, -4)

Example 3:

A(-3, 5), A'(3, 5)

B(-3, 0), B'(3, 0)

C(-3, 5), C'(-3, -10)

so here we get two outcomes one is 2 and other is 4.

so there is total 2 outcomes.

total no. of possibility is 5

so the probability of waiting between 2 and 4 minutes to use the ATM is 2/5.

Answer:

what we have to find or to prove.

Answer:

5 for 12.50

Step-by-step explanation:

i think this is better because when you find the cost per ticket on this deal (divide 12.5 by 5), you get 2.5 dollars per ticket. the other deal was 8 for 20.16. when dividing 20.16 by 8, you get 2.52 per ticket.

overall, you end up paying less because 12.50 is obviously less than 20.16 and also the cost per ticket is just a little lower, 2.5 instead of 2.52.

Answer:

0.769296

Step-by-step explanation:

The desired probability can be calculated from binomial probability distribution because there are 21 independent trials and probability of success(saving nothing for retirement) 0.2 remains same for each trial. Here, n=21 and p=0.20. We want to compute P(X>5).

The pdf of binomial distribution is

P(X=x)=nCx(p)^x(1-p)^(n-x)

P(X>5)=1-P(X≤5)

P(X≤5)=P(X=0)+P(X=1)+P(X=2)+P(X=3)+P(X=4)+P(X=5)

P(X=0)=21C0*(0.2)^0*(1-0.2)^(21-0)=0.009223

P(X=1)=21C1*(0.2)^1*(1-0.2)^(21-1)=0.048423

P(X=2)=21C2*(0.2)^2*(1-0.2)^(21-2)=0.121057

P(X=3)=21C3*(0.2)^3*(1-0.2)^(21-3)=0.191673

P(X=4)=21C4*(0.2)^4*(1-0.2)^(21-4)=0.215632

P(X=5)=21C5*(0.2)^5*(1-0.2)^(21-5)=0.183287

P(X≤5)=0.009223+0.048423+0.121057+0.191673+0.215632+0.183287

P(X≤5)=0.769296

P(X≤5) can also be computed by using excel function BINOM.DIST(5,21,0.2,TRUE) which results in

P(X≤5)=0.769296.

The probability that more than five of the selected adults save nothing for retirement is; P(X > 5) = 0.239928

We are told that 20% of adults in the US save nothing for retirement. Thus;

p = 20% = 0.2

21 adults are selected randomly. Thus;

n = 21

Probability that more than five of the selected adults save for retirement is gotten from formula for binomial probability distribution which is;

P(X = x) = nCx × p^(x) × (1 - p)^(n - x)

Thus;

P(X > 5) = 1 - P(X ≤ 5)

Where;

P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

P(X = 0) = 21C0 × 0.2^(0) × (1 - 0.2)^(21 - 0) =

0.009223

Using online binomial probability calculator, we can find the remaining as;

P(X = 1) = 0.048423

P(X = 2) = 0.121057

P(X = 3) = 0.191673

P(X = 4) = 0.215632

P(X = 5) = 0.183287

Thus;

P(X ≤ 5) = 0.048423 + 0.121057 + 0.191673 + 0.215632 + 0.183287

P(X ≤ 5) = 0.760072

Thus;

P(X > 5) = 1 - 0.760072

P(X > 5) = 0.239928

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Answer:

zeroay horizontal stretch vertical shrink

Step-by-step explanation:

1+1=2

There are 4 cubes of size 1/4 foot would fill the inside of the prism.

We have to given that;

Height of cuboid = 3 feet

Length of cuboid = 3/4 feet

Width of cuboid = 1/2 feet

We know that;

Volume of cuboid = Length x width x height

Hence,

V = 3/4 x 3 x 1/2

V = 9/8

Thus, Number of 1/4-foot cubes which would fill the inside of the prism is,

= (9/8) ÷ (1/4)

= (9/8) x 4

= 9/2

= 4.5

Thus, There are 4 cubes of size 1/4 foot would fill the inside of the prism.

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Answer:

false

Step-by-step explanation:

the answer is x=70

Answer:

15 yards

Step-by-step explanation:

3ft=1yard

45/3=15

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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The answers include the following:

This is referred to as a system of government where the citizens of a state exercise power to rule the state, either directly or through electing representatives.

Decisions take much longer because the people have a say in them through the process of voting and is therefore the reason why it was chosen as the correct  choice.

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Answer:

Step-by-step explanation:The form or system of government which gives the most power to the people of the nation is Democracy.

The new prime minister is part of the lawmaking branch and answers to it which means that the system of government is parliamentary.

When they wrote the Constitution, they gave more power to the central government. The states still have authority within their borders but must follow the Constitution and its laws which depicts Confederation.

“Decisions take much longer because the people have a say in them therefore the section of the chart which you would place this statement is Democracy.

The graph of g is a vertical translation 2 units up of the graph of f.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Here,  the two functions are f(x) = -2x

and Now, g(x) = f(x) + 2

g(x) we obtained by translating the graph f(x).

g(x) = -2x + 2

Implies f(x) is increased by 2 or graph translated 2 units upwards.

Thus, the graph f(x) is translated vertically upward by 2 units to g(x).

Hence, the graph of g is a vertical translation 2 units up of the graph of f.

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Answer:

C

Step-by-step explanation:

Answer:

7 and 8

Step-by-step explanation:

all you need to do is punch into a calculator

√(60 and the answer is 7.7 repeating so it is in between 7 and 8! hope this helps

Answer:

A

Step-by-step explanation:

The distance the treat falls before Lola catches the treat is 3.5 feet.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distance of the treat from the ground = 5 feet.

The distance the dog jumps to catch the treat from the ground = 1.5 feet.

Now,

The distance the treat fall before Lola catches.

= 5 - 1.5

= 3.5 feet

Thus,

The treat falls for 3.5 feet.

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The answer is

-10, -2/8, 4/25

Answer:

12 units squared.

Step-by-step explanation:

The formula for the area of a trapezoid is 1/2(base1+base2)*height.  First, add the two bases together.  4+8=12.  Then multiply that number by both 1/2 and the height, 2.  1/2*2*12 equals 12 units squared.