△TVX is equilateral. Complete the proof that △TUV≅△XWV.

Answer:

difference = 6 feet 5 inches

Step-by-step explanation:

The longest shot put throw by a boy is given as 25 feet 8 inches . The longest shot put throw by a girl is given as 19 feet and 3 inches. The number of times the longest shot put throw by a boy is greater than by a girl can be computed as follow.

The question asked us to find the difference between the throw. The difference between the throw is the boy throw minus the girls throw. Mathematically,

The longest boys throw = 25 feet 8 inches

The longest girls throw =  19 feet 3 inches

difference = The longest boy throw  - The longest girl throw

difference =  25 feet 8 inches -   19 feet 3 inches

difference = 6 feet 5 inches

7100 mL

to solve this we need to do a subtraction, note the unit must be the same, so

Step 1

convert 1.6 Liters into mL

to do this we need to use the equivalence:

so,

a) convert 1.6 Liters into mm

Step 2

b)now, we can do the subtraction:

so

soup she froze = total soup made - soup she packed

so, replace

therefore, the answer is

7100 mL

I hope this helps you

The answer is (B) 18.

In order to calculate the area of a triangle we must use the equation 1/2·base·height.

In this case, the base of the triangle would be QR, which is 12. The height would be PH, which is 3.

Using the formula above, we can do 1/2·12·3 which equals 18. This is the area of triangle PQR and our final answer.

Hope this helps.

The experiment has a binomial distribution just because the product could be or not defective. In this case you have n=26 the number of product that the company will check and you also know that the probability to get a defective one is 3.6%. Now we will proceed as follows, to find the probability of getting 2 or fewer defective products is exactly the same that

We also should notice that

Now,

Then the probability that the company takes 2 or fewer defective products in this batch is

Now, to get the probability that the company find 4 or more defective products we proceed as follows. Since

then

Notice that we only need to find one of these probabilities to get the answer.

Then the probability to get more than 4 defective products is

So if the company finds 5 defective products in this batch the company should stop the production because the probability to get more than 4 defective products is around 1.3%. It means that if you get 5 defective products even with this small probability then we could say that is really probable to get more defective products that those who were expected.

The converse of  t > r is r > t

A converse statement is determined when both the hypothesis and conclusion are reversed or interchanged.

In this condition, the hypothesis is written as the conclusion and the conclusion is changed to be the hypothesis.

If a conditional statement is written as: x → y

The converse is then written as y → x

Where;

Given the expression as;

t > r

We can see that;

The converse will be;

r > t

Hence, the converse is r > t

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A puzzle, defined as "anything which baffles or perplexes," refers to an enigma or a conundrum that requires creative thinking to solve.

The answer is A = 7.

A puzzle, defined as "anything which puzzles or perplexes," refers to a riddle or issue that defies creativity to be solved.

Retaining mental quickness and short-term memory while working on a puzzle strengthens connections between brain cells.

Dopamine, a neurotransmitter that controls mood, memory, and focus, is produced more readily as a result of solving puzzles.

Every time we complete the puzzle, dopamine is produced.

Given the puzzle condition,

The sum of any 3 consecutive digits must be 17.

Given numbers 8, 2

So the third number would be 8 + 2 + A = 17

10 + A = 17

Therefore A is 17-10 = 7

A = 7

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Answer/Step-by-step explanation:

Five more than a number = 5 + n

The sum of 3.6 and a number = n + 3.6

The difference of ten and a number = 10 - n

One-half less than a number = n - (1/2)

I hope this helps!

Answer:

The difference of 10 and a number: 10-n

Five more than a number: 5+n

The sum of 3.6 and a number: n+3.6

one-half less than a number: n-1/2

Answer:

R=100%

Step-by-step explanation:

Here

Increased population (Pt) = 5.2-2.6 = 2.6

Time = 1987-1952

Rate of increase=?

By formula

Pt = P(1-R/100)^t

2.6=2.6(1-R/100)^35

1=(1-R/100)^35

0^35 = (1-R/100)^35

0=1-R/100

0= 100-R

R=100%

so the average annual population growth rate of the world between 1952and1987 is 100%

The total probability that a king and pawn are selected without replacement is  1 / 31 .

The area of mathematics known as probability primarily deals with numerical(fractions or decimals) representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.

Sample space = 32 (16 black and 16 white pieces)

number of kings in the set = 2

Probability that a king is selected first

P(king) = 2 ÷ 32 = 1 / 16

Now the total number of pieces left = 32 - 1 = 31

number of pawns = 8+8 =16

Probability that a pawn is selected = 16 ÷ 31

P(pawn) = 16/31

Now the total probability that a king and pawn are selected without replacement = P(king) × P(pawn) = 1/16 × 16/31 = 1 / 31

Therefore the required probability is 1 / 31 .

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If two events are mutually exclusive this means they cannot occur at the same time and do not over lap

If two events are mutually inclusive this means they can occur at the same time and they over lap

Event A and Event B are mutually exclusive

Event A and event C are not mutually exclusive

To find the complement of event A (A'), which is the part of the universal set of events not in A

We use the formula

P(A) = 0.45

substituting this into the equation yields

P(A') = 0.55

In linear equation, 3464.1016 feet  is the shortest length of fence that the Ranch owner can use.

What is linear equation definition and example?

Let L represent the length of the field.

Let W represent the width of the field.

Let F represent the length of fence needed.

L*W=500000

2L+3W=F Both length sides+both width sides+ fence across the width.

Let's look at the first equation again:

L*W=500000

W=(500000/L)

Now we can substitute (500000/L) for W in the second equation.

2L+3(500000/L)=F

2L+1500000/L=F

Now we have a function. We can input any length, and we'll know length needed. But how can we find the length needed so that F is as small as it can be? If you know derivatives, there's an exact way. The next easiest way to do it is to graph.

Manner 1: Derivative

Set the derivative to zero...when the length stops going down and starts coming back up, it'll be at it's lowest point.

2L+1500000^-1=F

F'=2-1500000^-2

0=2-1500000^-2

1500000/(L^2)=2

1500000=2L^2

1500000=L^2

L=866.025

Now, we know that L=500000/W

so 866.025=500000/W

W=500000/866.025

W=577.35027 feet.

Now,

2L+3W=2(866.025)+3(577.35027)

Minimum fencing needed: 3464.1016 feet.

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Answer: 17

Step-by-step explanation:

The ratio of the net force to the weight of the scallop (F net/Weight) for this motion exists 792.657 Newtons.

The net force exists the vector sum of all the forces that act upon an object. The total of all forces exerted on an object is known as the net force. A mass can accelerate due to net force. A body is subject to another force whether it is at rest or in motion. When there are a lot of forces acting on a system, the term "net force" is employed.

Given, mass = 29g, speed = 4.10 m/s , Time = 0.15 s

Acceleration (a ) = (final speed - initial speed)/time taken

                           = 4.10 - 0/ 0.15 = 27.333 m/s/s

F = m × a = 29 g × 27.33 m/s

            =  792.657 Newtons

Therefore, the ratio of the net force to the weight of the scallop (F net/Weight) for this motion exists 792.657 Newtons.

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Answer:

Step-by-step explanation:

17/25

An equation or inequality to model the situation: The distance d to school is 1 1/2 miles more than the distance p to the park is  d = p + 3/2

a statement that the values of two mathematical expressions are equal indicated by the sign =, is known as equation.

A statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions is known as inequality.

For this situation, we would assume that both the distances i.e 'd' and 'p' are in miles.

It is mentioned that the distance d is more than the distance p by 3/2 miles.

It means that if we add  3/2 miles to the distance 'p' the output will be distance 'd'

The equation for this is as follows :- d = p + 3/2

It also means that if we substract 3/2 miles from distance 'd', the output will be distance 'p'

The equation for this is as follows :- p = d - 3/2

But we are asked in the situation that distance d is more than than the distance 'p'.

Therefore , an equation or inequality to model the situation: The distance d to school is 1 1/2 miles more than the distance p to the park is d = p + 3/2.

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Memory of the phones = 32 gigabytes

Now,

Therefore ,

Also ,

Therefore,

Thus the memory of the phone in bits is ,

The measure of each angles a,b and c are 32°, 74°  and 74°  respectively.

What is triangle?
Three edges and three vertices define a triangle as a polygon. One of geometry's fundamental shapes is this one. The symbol for an ΔABC triangle is A, B, and C.
Any three points determine a distinct triangle and a distinct plane in Euclidean geometry when they are non-collinear (i.e. a two-dimensional Euclidean space). To put it another way, each triangle is contained in a plane, and there is only one plane that includes that particular triangle. All triangles are contained in one plane if and only if all geometry is the Euclidean plane, however this is no longer true in higher-dimensional Euclidean spaces. Except as otherwise specified, the subject of this article is triangles in Euclidean geometry, more specifically, the Euclidean plane.

Let angle b be x

Therefore angle c will also be  x [as given b and c are equal] and angle a will be x - 42°.
Now as we know that the sum of the measures of the angles of a triangle is 180° therefore,

x + x + x - 42° = 180°

=> 3x = 222°

=> x = 74°  which is angle b and c

and angle a is (74 - 42)°  =32°  

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Answer:

c = 0.95*p

Step-by-step explanation:

With p representing the number of pounds purchased, and each pound costing 0.95, the total cost c can be found by multiplying the cost per pound by the total number of pounds. Simply put, total cost = 0.95 * total pounds.

HOPE THIS HELPS!!

Let's write out the formula for the sum of geometric series,

Let's solve for the sum of seven geometric series,

Hence,

Therefore, option 5 is the correct answer.

Option 5 is none of these are correct.

The graph shows a quadratic function.

The quadratic function has been shifted downwards by 2 units and to the left by 3 units.

The rules that show the translation above are given to be:

1) f (x) − b shifts the function b units downward.

2) f (x + b) shifts the function b units to the left.

Therefore, the transformation for h(x) is given to be:

The two numbers so that the exact answer is between 6×7381 are 28,000 and 48,000.

Given:

To find two numbers the exact answer is between 6×7381.

7,381 is between the numbers 7,000 and 8,000.

Rounding the number 7,381 down to 7000 and multiplying 6 by it.

6 × 7,000 is 28,000

Rounding the number 7,381 up to 8000 and multiplying 6 by it.

6 × 8,000 is 48,000

The two numbers so that the exact answer is between 6×7381 are 28,000 and 48,000 respectively.

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Using the t-distribution, the 98% confidence interval for the mean temperature is of:

(47.335, 65.624).

The confidence interval is given as follows:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which the parameters are:

Using a calculator, the parameters from this sample are given as follows:

[tex]\mu = 56.43, s = 10.198, n = 10[/tex]

The critical value, using a t-distribution calculator, for a two-tailed 98% confidence interval, with 10 - 1 = 9 df, is t = 2.82.

The lower bound of the interval is:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 56.43 - 2.82\frac{10.198}{\sqrt{10}} = 47.335[/tex]

The upper bound of the interval is:

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 56.43 + 2.82\frac{10.198}{\sqrt{10}} = 65.524[/tex]

Hence the interval is:

(47.335, 65.624).

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Answer:

0.1538461583

Step-by-step explanation:

2 divided by 13

Answer:

c

Step-by-step explanation:

The set of integers as described in the task content which are greater than 9 and less than or equal to -6 can be represented using interval notation as all integer values in the set ; (9, infinity) U (-infinity, -6].

It follows from the task content that the set of integers greater than 9 and less than or equal to -6 is to be determined.

By considering each set of possible solutions for the integer in discuss; we have;

Therefore, the required set of Integers includes integers in union of the two sets above and hence, we have;

x = (9, infinity) U (-infinity, -6].

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The transformation is non rigid

Transformations involve the rotation, reflection, or translation of forms on a coordinate plane. Transformational geometry is a fresh viewpoint on geometry that Felix Klein suggested in the 19th century. The majority of geometric proofs rely on the transformations of objects. Any image in a coordinate plane can be changed using transformations. Applying the transformational laws will help you better understand the graphics in video games. Learn to recognize transformations, comprehend function transformation principles, and investigate the various forms of transformations.

Non-Rigid Transformations actually alter the original object's structure. Scaling, for instance, allows us to make our object larger or smaller. Alternatively, shearing can be used to "push" it up or to the side. In essence, non-rigid transformations allow an object's size to change.

because the size became small as compare to pre image it is non rigid transformation

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if two lines are perpendicular it is true that:

For the line:

Let's check every line:

So, A is a correct choice

B is not a correct choice

C is a correct choice

D is a correct choice

E is not a correct choice