A child in a family with five children does not believe that the parents are rely choosing who guts ice cream (a) If the parents purchased 200 ice cream cones in the last year for their kids how many ice cream cones should each of the five children get if the parents were randomly selecting which child to give an ice cream cone to each time one was purchased

Given:

Considering that the lower intersection is a translation of the upper intersection.

Required:

To find the meaning about the measures of the corresponding angles.

Explanation:

The ower intersection is a translation of the upper intersection.

This means that corresponding ngles overlap ech other on translation.

So, the corresponding angles are congruent.

Final Answer:

The corresponding angles are congruent.

Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

The slope of a line determines how steep it is. Equations predicated on gradients might experience gradient overflow. One can determine the slope by dividing the midpoint of the run (length difference) between two points by the rise (vertical differentiation) between the same two points. The equation of the hill type with the notation y = mx + b is used to model the fixed path problem.

Here,

Given :

A slope having search functions for the control subjects and

the split-brain patients is different because

In general, the control participants' performance was less consistent than that of the split-brain patients.

Therefore , the solution of the given problem of slope comes out to be less consistent than that of the split-brain patients.

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To find the volume of the given solid using polar coordinates, we integrate the function over the appropriate range of values for the radial coordinate and the angle.

The given solid consists of a cone and a ring in the xy-plane. The cone is defined by the equation z = √(x² + y²), which represents a right circular cone with its vertex at the origin and opening upwards. The ring is defined by the inequality 1 ≤ x² + y² ≤ 64, which represents a circular region centered at the origin with an inner radius of 1 unit and an outer radius of 8 units.

To evaluate the volume using polar coordinates, we can express the equations in terms of the radial coordinate (r) and the angle (θ). In polar coordinates, the cone equation becomes z = r, and the ring equation becomes 1 ≤ r² ≤ 64. To set up the integral, we need to determine the range of values for r and θ. For the radial coordinate, r ranges from 1 to 8, as that corresponds to the region defined by the ring. For the angle θ, we can integrate from 0 to 2π, covering a full revolution around the origin.

The volume integral is then given by V = ∫∫∫ r dz dr dθ over the region defined by 1 ≤ r² ≤ 64 and 0 ≤ θ ≤ 2π. By evaluating this triple integral, we can find the volume of the solid.

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Given:

Given the equation y = x - 2

Required: Classify it as direct variation, inverse variation or neither.

Explanation:

Two variables x and y show direct variation when they satisfies y = ax or y/x = a, where a is non-zero.

Similarly, two variables x and y show inverse variation when they satisfies y = a/x or xy = a, where a is non-zero.

Here, the equation y = x - 2 is in neither of the form y = ax or y = a/x.

So, y = x - 2 show neither direct nor inverse variation.

Final Answer: y = x - 2 show neither direct nor inverse variation.

At time t, the first pool contains 50+2.3t gal of water, while the second pool contains 102.2-3.5t gal.

They contain the same amount of water when these quantities are equal:

50 + 2.3t = 102.2 - 3.5t

5.8t = 52.2

t = 9

so the pools have the same amount of water after 9 min have passed.

The pools will contain same amount of water in 9 minutes

Let the number of minutes that the pools contain the same amount of water be represented by t.

Since the first pool contains 50 gallons of water and is filling at a rate of 2.3 gallons per minute, then this will be:

= 50 + (2.3 × t)

= 50 + 2.3t ......... equation i

The second pool contains 102.2 gallons of water and is draining at a rate of 3.5 gallons per minute. This will be:

= 102.2 - (3.5 × t)

= 102.2 - 3.5t ........ equation ii

Equate both equations and this will be:

50 + 2.3t = 102.2 - 3.5t

Collect like terms

2.3t + 3.5t = 102.2 - 50

5.8t = 52.2

Divide both side by 5.8

5.8t/5.8 = 52.2/5.8

t = 9

In conclusion, they'll have same amount of water in 9 minutes

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9

Step-by-step explanation:

1 = x^2 - 6x

Adding 9 to both sides, we get

1 + 9 = x^2 - 6x + 9

10 = (x - 3)^2

Note that the right hand side is now a perfect square.

We find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139. Any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps. The middle 70% of her laps are between 119 and 131 seconds.

To answer your questions, we first need to have some context on what we're dealing with. You mentioned "her laps," so I assume we're talking about a person who is running or swimming laps. We also need to know the distribution of her lap times (i.e., are they normally distributed, skewed, etc.) in order to answer these questions accurately. For now, let's assume that her lap times are normally distributed.
To find the proportion of her laps that are completed between 127 and 130 seconds, we need to calculate the area under the normal distribution curve between those two values. We can do this using a calculator or a statistical software program, but we need to know the mean and standard deviation of her lap times first.

Let's say the mean is 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the proportion of her laps that fall between 127 and 130 seconds is about 0.139.
To find the fastest 2% of laps, we need to look at the upper tail of the distribution. Again, we need to know the mean and standard deviation of her lap times to do this accurately. Let's say the mean is still 125 seconds and the standard deviation is 5 seconds. Using a standard normal distribution table or calculator, we find that the z-score corresponding to the 98th percentile (i.e., the fastest 2% of laps) is about 2.05. We can then use the formula z = (x - mu) / sigma to find that x = z * sigma + mu, where x is the lap time we're looking for. Plugging in the numbers, we get x = 2.05 * 5 + 125 = 135.25 seconds.

Therefore, any lap time under 135.25 seconds would be considered one of the fastest 2% of her laps.
Finally, to find the middle 70% of her laps, we need to look at the area under the normal distribution curve between two values, just like in part However, we need to find the values that correspond to the 15th and 85th percentiles, since those are the cutoffs for the middle 70%. Using the same mean and standard deviation as before, we can use a standard normal distribution table or calculator to find that the z-scores corresponding to the 15th and 85th percentiles are -1.04 and 1.04, respectively.

We can find that the lap times corresponding to those z-scores are 119 seconds and 131 seconds, respectively. Therefore, the middle 70% of her laps are between 119 and 131 seconds.

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The cost of the plan for the limited talk and text is $50 with an additional cost of $22.99 for each gigabyte of data.

Generally, a mathematical function means a rule that gives value of a dependent variable that corresponds to specified values of one or more independent variables. It can take an input from many variables but will  always give the same output, unique to that function.

We are given that "H(g) = 22.99g + 50", where H represents the cost, in dollars, and g represents the number of gigabytes of data. The main answer is based on the given function where the constant term of 50 represents the cost of the plan for limited talk and text, and the coefficient of 22.99 represents the additional cost for each gigabyte of data used.

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Because studies used in a meta-analysis have typically used different statistical tests, a statistic called effect size is used to put all the results into a common scale.

A meta-analysis is a statistical approach used to synthesize the results of several studies. It is a quantitative study of studies. In other words, it is a method that uses statistical analysis to incorporate the results of multiple clinical studies, which helps to obtain a more precise and reliable estimate of the impact of the intervention.

Effect size is used to combine all the results of the different studies into a common scale because each study might use a different statistical test that is not directly comparable to other studies.What is effect size?Effect size is a numerical value that describes the magnitude of the difference between two groups in a study. It allows researchers to compare the findings from different studies that might use different measurement instruments.

A large effect size implies a significant difference between the two groups in a study. Conversely, a small effect size indicates that there is no meaningful difference between the groups. Effect size is calculated as the standardized difference between the means of two groups divided by their standard deviation (Cohen’s d).

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Answer:

80

Step-by-step explanation:

90/100*x=72

9/10*x=72

x=72*10/9

x=80

The exact length of the shadow cast by the lamp post is 15√3 feet.

We can use the tangent function to solve this problem.

Let's call the length of the shadow x.

We have the angle of elevation of the sun as 60º and the height of the lamp post as 15 ft.

From trigonometry, we know that:

tan 60º = opposite / adjacent

In this case, the opposite side is the length of the shadow (x), and the adjacent side is the height of the lamp post (15 ft).

So we can write:

tan 60º = x / 15

We can simplify the equation using the value of tangent for 60º, which is √3. So we have:

√3 = x / 15

Multiplying both sides by 15, we get:

x = 15 ×√3

Therefore, the exact length of the shadow cast by the lamp post is 15√3 feet.

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Answer:

1. 2x+2-(2x-14)=5x+2

0x+16=5x+2

16=5x+2

14=5x

14/5=x or 2.8=x

2. 2x+10-(-2x+7)=-7x+14

4x+3=-7x+14

11x+3=14

11x=11

x=1

Step-by-step explanation:

Hope this helps

1) x=2.8

2) x=1

Step-By-Step:

Q1) 2x + 2 - (2x - 14) = 5x + 2

Simply the expression

2x+2-2x+14=5x+2

collect like terms

(2x-2x) + (2+14) = 5x+2

simplify

16= 5x+2

swap sides

5x+2=16

-2 -2

5x=16-2

5x=14

to get x on its own we divide each side by 5 so

5x=14

÷5 ÷5

x= 2.8

Q2) 2x + 10 - (-2x + 7) = -7x + 14

Simply the expression

2x+10+2x-7= -7+14

collect like terms

(2x+2x)+(10-7)= -7+14

simplify

4x+3=7

-3 -3

4x+3-3=7-3

simplify

4x=7-3

4x=4

to get x on its own divide each side by 4 so...

4x=4

÷4 ÷4

x=1

Hope this helped- have a good day bro cya)

The solution is,  the solution of the given equation is :

 x = 0, 1/3

Here, we have,

The greatest common factor is 2x. Factoring that out,

we have ...

 2x(3x -1) = 0

The solutions will be the values of x that make the factors 0.

 x = 0

 3x -1 = 0   ⇒   x = 1/3

The solutions are x = 0, 1/3.

Check

x = 0   ⇒   6·0² -2·0 = 0   ⇒   0 - 0 = 0 . . . true

x = 1/3   ⇒   6(1/3)² -2(1/3) = 0   ⇒   6/9 -2/3 = 0 . . . true

Hence, The solution is,  the solution of the given equation is :

 x = 0, 1/3

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complete question:

Solve the equation by factoring. Check your solution. If there are multiple solutions, list the solutions from least to greatest separated by a comma. 6x2−2x=0

Answer:

2 small notebooks 4 large notebooks

Step-by-step explanation:

1× 6 + 5× 10 = 56

2×6 + 4 × 10 = 52

doing this continuously

We know

D = RT

D is distance

R is rate

T is time

Upstream rate = x - c

Downstream rate = x + c

note: c is rate of current and x is still water rate (x)

Answer:108 inches

Step-by-step explanation:

to find the area of one of the right triangles you do.

base = 6/2 =3

3x6=18

18/2=9

there are 8 right triangles so you would do

9x8 = 72.

then you would add 72 and the area of the square in the middle

6x6=36

36+72= 108

so Area of SA = 108 inches ^2

The ratio of the leg triangle is different in all the cases except equilateral and isosceles. Then they are not equal.

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

The sine of angle A does not equal any given value of angle A.

Because the sine and cosine ratios entail dividing one of the shorter two sides by the hypotenuse, the values will never be greater than 1, because (some number) / (a larger number) from a right triangle will always be less than 1.

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Answer:

Step-by-step explanation:

Measure of one angle= 96

one angle= 2x

other angle= x + 12

By using angle sum property, we know that sum of all angles in a triangle is 180 degree.

so,

96 + 2x + x+12 = 180

108 + 3x = 180

3x = 180 - 108

3x = 72

x = 72/3

x = 24

So,

one angle (2x) = 2 * 24

                        = 48

other angle ( x + 12 ) = 24 + 12

                                  = 36

Hence, the other two degree measures for the missing angles is \(36\).

What is the angles?

Angles are an integral facet in the study of mathematics, particularly geometry. Angles are formed by two rays (or lines) that begin at the same point or share the same endpoint.

The point at which the two rays meet (intersect) is called the vertex.

Here given that,

One measure of an angle in a triangle is \(96\) degree. The other two angle measures are represented by \(2x\) and \(x + 12\).

So,

Measurement of one angle= \(96\) degree

One angle= \(2x\)

Other angle= \(x + 12\)

As we know that sum of all angles in a triangle is \(180\) degree.

So,

\(96 + 2x + x+12 = 180\\\\108 + 3x = 180\\\\3x = 180 - 108\\\\3x = 72\\\\x = \frac{72}{3}\\\\x = 24\\\\\)

So,

One angle  is

\((2x) = 2 (24)\\=48\)

Other angle is ( x + 12 ) = 24 + 12

\(( x + 12 ) = 24 + 12\\=36\)

Hence, the other two degree measures for the missing angles is \(36\).

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Answer:

The coordinates are

(4,7)

(4,2)

Answer:

exact form : -19/12  Decimal form -1.583 Mixed number form -1  7/12

Step-by-step explanation:

The number of miles in 50 kilometers is 10 miles.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, 5 miles is approximately equal to 25 km.

Now, 1 mile =25/5

= 5 km

So, 75 miles = 75×5=375 km

Thus, 50 km = 50/5

= 10 miles

Therefore, the number of miles in 50 kilometers is 10 miles.

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Answer:

23.8

Step-by-step explanation:

To find the value of QR, look over the information given. R is a point between the points Q and S. Since the value of SR is 44.6, and the value of SQ is 68.4, subtract 44.6 from 68.4 to get 23.8, which will be the answer.

The area of the rectangle is 17 square units.

The area of a rectangle is the product between the two dimensions (length and width) of the rectangle.

Here we know that the vertices are:

A(-1, 9), B(0, 9), C(0, -8), D(-1, -8)

We can define the length as the side AB, which has a lenght:

L = (-1, 9) - (0, 9) = (-1 - 0, 9 - 9) = (-1, 0) ----> 1 unit.

And the width as BC, which has a length:

L = (0, 9) - (0, -8) = (0 - 0, 9 + 8) = (0, 17) ---> 17 units.

Then the area is:

A = (1 unit)*(17 units) = 17 square units.

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Answer:

13.2 g

Step-by-step explanation:

let x = grams sugar in a 200 ml glass

16.5 g sugar / 250 ml = x g sugar / 200 ml

x(250) = (16.5)(200)

x =  (16.5)(200) / (250) = 3300 / 250 = 13.2

Answer:  there are 13.2 g sugar in a 200 ml glass of juice

Answer:

4x² + 11x + 6 = (x + 2)(4x + 3)

Answer:

-1.25

Step-by-step explanation:

When -8 is divided by 6.4 we get -1.25.

Use the concept of division defined as:

Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.

Here we have to find the number when,

-8 divided by 6.4

It can be written as,

-8/6.4

Multiply and divide 10 on both the numerator and denominator,

-80/64

Now divide 80 by 64 then attach the negative sign in the quotient.

The division is attached below.

Hence,

The required number is -1.25.

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In polygons, consecutive interior angles share a common side.

To make a conjecture about consecutive interior angles in a parallelogram, we should consider that: A parallelogram is a four-sided quadrilateral with two sets of parallel sides.

The opposite sides of the parallelogram are parallel, and the opposite angles are equal.

The adjacent or consecutive angles of the parallelogram are supplementary in nature, meaning they add up to 180 degrees.

Conjecture Consecutive interior angles of a parallelogram are supplementary.

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