Circle correct choices from among Y, N, Proof, and Witness and provide below a proof or witness as the case may be: 1 (1) VXEN By EZ Y NPf W Why? 1 (ii) 3X EN Vy EZ (x-y=-) Y NPf W Why? 1 (iii) VXEN 3y (x+y=0) Y NPfw Why? 1 (iv) 3x EZ Vy EN VI Y N Pf W Why? 1 (v) 3x EZ 3y E Z +xy = Y NPFW Why?

We have to find horizontal component of Mayosons velocity.

#a

\(\\ \tt\bull\leadsto V_x=vsin\theta\)

\(\\ \tt\bull\leadsto V_x=2.5sin36\)

\(\\ \tt\bull\leadsto V_x=2.5(0.58)\)

\(\\ \tt\bull\leadsto V_x=1.45m/s\)

#b

\(\\ \tt\bull\leadsto \overrightarrow{R}\)

\(\\ \tt\bull\leadsto \sqrt{A^2+B^2+2ABcos\Theta}\)

\(\\ \tt\bull\leadsto \sqrt{8^2+2.5^2+2(8)(2.5)cos36}\)

\(\\ \tt\bull\leadsto \sqrt{64+6.25+40(0.8)}\)

\(\\ \tt\bull\leadsto \sqrt{70.25+32}\)

\(\\ \tt\bull\leadsto \sqrt{102.25}\)

\(\\ \tt\bull\leadsto 10.15m/s\)

The integral of (t^2 + 9)^3 is (t^7)/7 + (27t^5)/5 + (243t^3)/3 + 729t + C.

To integrate (t^2 + 9)^3, you will need to use the formula for the integral of a sum, which is ∫(f(x) + g(x))dx = ∫f(x)dx + ∫g(x)dx. You will also need to use the power rule for integration, which is ∫x^n dx = (x^(n+1))/(n+1) + C. Here is how you can integrate (t^2 + 9)^3:
1. Expand the expression: (t^2 + 9)^3 = t^6 + 27t^4 + 243t^2 + 729
2. Apply the integral of a sum formula: ∫(t^6 + 27t^4 + 243t^2 + 729)dt = ∫t^6 dt + ∫27t^4 dt + ∫243t^2 dt + ∫729 dt
3. Apply the power rule for integration to each term: (t^(6+1))/(6+1) + 27(t^(4+1))/(4+1) + 243(t^(2+1))/(2+1) + 729t + C
4. Simplify the expression: (t^7)/7 + (27t^5)/5 + (243t^3)/3 + 729t + C
Therefore, the integral of (t^2 + 9)^3 is (t^7)/7 + (27t^5)/5 + (243t^3)/3 + 729t + C.

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Answer:

-123-b

Step-by-step explanation:

-116-4-(b+3)

-123-b

The surface area of the figure is equal to 641.1 square inches.

The figure comprises of a smaller and a bigger cone, the sum of their surface area is the surface area of the figure.

Surface area of cone = πr[r + √(h² + r²)]

surface area of smaller cone = 22/7 × 6in[6in + √(8² + 6²)]

surface area of smaller cone = 301.7 square inches

Height of the bigger cone = √(12² - 6²) = 10.4in

surface area of bigger cone = 22/7 × 6in[6in + √(10.4² + 6²)]

surface area of bigger cone = 339.4 square inches

surface area of the shape = 301.7 + 339.4

surface area of the shape = 641.1 square inches.

Therefore, the surface area of the figure is equal to 641.1 square inches.

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Answer:

13.928 ounces

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 16 ounces

μ is the population mean = ??

σ is the population standard deviation = 2 ounces

Given that 15% of these cucumbers weigh more than 16 ounces,

= 100 - 15 = 85

We find the z score for a 85th percentile using the percentile table = 1.036

Hence

1.036 = 16 - x/2

Cross Multiply

1.036 × 2 = 16 - x

2.072 = 16 - x

2.072 - 16 = -x

-13.928 = -x

x = 13.928 ounces

Therefore, the mean weight is 13.928 ounces

Answer:

your answer will be letter B

Step-by-step explanation:

Answer:

  (a)  seventy-three and three fifths square inches

Step-by-step explanation:

You want to know the area of the quilt block shape shown.

The shape can be considered to be composed of a rectangle 10.6 inches long, together with a right triangle with side lengths 4 and 5 inches.

The relevant area formulas are ...

  triangle: A = 1/2bh

  rectangle: A = bh

The area of the triangle is ...

  A = 1/2(5 in)(4 in) = 10 in²

The area of the rectangle is ...

  A = (10.6 in)(6 in) = 63.6 in²

The total area is ...

  10 in² +63.6 in² = 73.6 in²

The area of the shape is 73 3/5 square inches.

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\(\bf \implies{The \: correct \: option \: is \: (c) \: 240}\)

\( \large \frac{40}{5} . \: 6 \: . \: \frac{10}{2} \)

Step 1) : Cross out the common factor

\( \bf \longrightarrow\frac{ \cancel{40}}{ \cancel{5}} . \: 6 \: . \: \frac{ \cancel{10}}{ \cancel{2} } \\ \\ \bf \longrightarrow8 \times 6 \times 5\)

Step 2 : Multiply it

\( \bf \longrightarrow8 \times 6 \times 5 \\ \bf \longrightarrow8 \times 5 \times 6 \\\bf \longrightarrow 40 \times 6 \\ \bf \longrightarrow240\)

We have the following quatrilateral DEFG:

We will do various transformations to it.

For doing this traslation, we will apply the formula to each one of the endpoints of the quadrilateral. For the sake of this exercise, we will call the traslation T.

Where we obtained the coordinates values by replacing the x-coordinate of the point A by the value x of the traslation, and doing the same process for the y-coordinate. We obtain also,

For F,

For G, following the same process we obtain that G'=T(G)=(0,3). This gives us the quadrilateral:

For doing a reflection over the x-axis, we will follow the rule:

In this case, we will apply the rule to every endpoint of the quadrilateral.

For doing a reflection over the y-axis, we will follow the rule:

And we apply the rule to every endpoint of the quadrilateral.

We obtain the quadrilaterals:

Answer: True

Step-by-step explanation:
over 87% of all US hospitals are this type n

-a nonfederal, short stay hospital whose services are available to the general public

-federal hospitals and long-stay community hospitals are excluded from this definition

True. In the United States, the majority of hospitals are community hospitals.

According to the American Hospital Association, community hospitals make up more than 87% of all hospitals in the country. These hospitals are generally non-profit, serve a specific geographic area, and provide a wide range of medical services to the community they serve. Community hospitals can be owned by local governments, religious organizations, or private entities.
Community hospitals play a vital role in providing healthcare to the population. They provide essential medical services such as emergency care, surgery, and critical care. They also offer preventive care, such as health screenings and immunizations, to help keep the community healthy. Additionally, community hospitals often provide support services such as social work, counseling, and education to help patients and their families navigate the healthcare system.
Community hospitals are an important part of the healthcare infrastructure in the United States. They serve as a key resource for patients, families, and communities in need of medical care. While there are other types of hospitals in the country, such as academic medical centers and specialty hospitals, community hospitals remain the most common and accessible option for many Americans.

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Answer:

D

Step-by-step explanation:

To evaluate f(- 3), substitute x = - 3 into f(x), that is

f(- 3) = 11 - 6(- 3 - 8) = 11 - 6(- 11) = 11 + 66 = 77 → D

Answer:

+2

Step-by-step explanation:

Answer:

RT || AB

Step-by-step explanation:

The answer to your question is that segment RT is parallel to AB.

And for those of you who encounter AB || ?

The answer is RT.

Both questions are rewrites.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

R, S, and T are midpoints of AC, AB, and CB.

The ratio of the matching sides will remain constant if two triangles are comparable to one another.

A line is parallel to the right side if it divides any two triangles sides in a similar ratio.

RT || AB if R and T are the midpoints of AC and BC. Then the correct option is C.

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Answer:

m=-3

Step-by-step explanation:

Answer:

-3

Step-by-step explanation:

Slope = Rise/Run

We can find the amount between 7 and -5 as 12, and -2 and 2 as 4.

Then we can do rise/run and 12/4

Which would divide into 3.

ANd because we can see the x increases as the y decreases, we can find that it's a negative slope.

-3

At 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

What is aircraft?

A vehicle that can fly is known as an aircraft. It does so by getting help from the air. It does this by either employing static lift, the dynamic lift of an airfoil or, in a few rare instances, the downward push from jet engines. Aerial vehicles include, but are not limited to, planes, helicopters, airships (including blimps), gliders, paramotors, and hot air balloons.

As given, your aircraft was cleared for the ils rwy 18 at Lincoln municipal and crossed the Lincoln Vortac at 5,000 feet MSL.

Therefore, at 8000 feet MSL in the teardrop could a descent to 3,200 feet commence.

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Answer: D. Cannot be determined

Step-by-step explanation: There are 3 postulates we can use for determining similar triangles.

There is Side Side Side (SSS) Postulate, which requires you have 2 sides of each triangle that are the same proportion as the other triangle. For example, in a triangle ABC, if 2 sides are 5 and 7, and in a triangle DEF, if 2 sides are 10 and 14, then the proportions 5/10 ( 1/2) and 7/14 (1/2) are equal. Thus these are similar triangles and the scale is 1/2.

There is Angle Angle (AA) postulate. If 2 angles are the same to another 2 angles in another triangle, then the two triangles are automatically similar.

The last is Side Angle Side (SAS), which requires you to have an angle that is congruent to another angle in a different triangle, and the angle is in between 2 sides that are proportionally equal to another triangle that also has the same angle in 2 sides. For example, if triangles ABC have angles A, B and C, and angle A is the same equal degrees to another angle in a triangle D, and both A and D are in between 2 sides (i.e DE and AB) that are proportionate (e.g DE and AB are proportionate.) The triangles are then similar.

None of these postulates can be applied to our given problem. Let's see why.

For Angle-Angle, we don't have 2 congruent angles. We have 2 right angles, but that's only 1 angle.

For Side Side Side, we don't have 2 sides given on each triangle, let alone proportionate ones.

For Side Angle Side, we don't even have 2 sides for each triangle given, so this cannot be used either.

The expression for the division of 1/6 gallons by 8 friends is (a) 1/6 ÷ 8

From the question, we have the following parameters that can be used in our solution:

Number of friends = 8

The gallon of lemonade = 1/6 gallons

Sharing formula = Equally

From the above parameter, we can calculate the expression

The expression is calculated as

Expression of the division = The gallon of lemonade /Number of friends

Substitute the known values in the above equation

So, we have the following equation

Expression of the division = 1/6/8

Evaluate the quotient

Expression of the division = 1/6 * 1/8

Or

Expression of the division = 1/6 ÷ 8

Hence, the expression of the division is 1/6 ÷ 8

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Answer:

-4x

Step-by-step explanation:

The 4 rules of Congruence that are used in proving two triangles congruent are (SSS) Side - Side - Side , (SAS) Side - Angle - Side , (ASA) Angle - Side - Angle and (RHS) Right Angle - Hypotnuse - Side .

The Two Triangles are called Congruent if their sides have same length and angles have same measure.

The Four rules by which we can prove 2 triangles as congruent are :

(i) (SSS) Side - Side - Side ,

The 2 triangles are said to be congruent by SSS rule. If all 3 sides of one triangle are equivalent to the corresponding 3 sides of second triangle .

(ii) (SAS) Side - Angle - Side ,

The 2 triangles are said to be congruent by SAS rule if , any 2 sides and the angle included between sides of one triangle is equivalent to corresponding 2 sides and the angle between sides of second triangle .

(iii) (ASA) Angle - Side - Angle ,

The 2 triangles are said to be congruent by SAS rule if any 2 angles and the side included between angles of one triangle is equivalent to  corresponding 2 angles and side included between angles of second triangle .

(iv) (RHS) Right Angle - Hypotnuse - Side ,

The 2 triangles are said to be congruent by SAS rule if , hypotenuse and a side of a right- angled triangle is equivalent to hypotenuse and side of  second right- angled triangle .

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The 4 rules of congruence

SSS (Side-Side-Side)

SAS (Side-Angle-Side)

ASA (Angle-Side-Angle)

AAS (Angle-Angle-Side)

SSS (Side-Side-Side) The two triangles are said to be congruent if the three sides of one triangle are equivalent to the corresponding three sides of the second triangle.

According to the SAS (Side-Angle-Side) rule, two triangles are said to be congruent if any two sides and any angle included between the sides of one triangle are comparable to the corresponding two sides and any angle included between the sides of the second triangle.

The two triangles are said to be congruent by the ASA (Angle-Side-Angle) rule if any two angles and the side included between the angles of one triangle are comparable to the corresponding two angles and side included between the angles of the second triangle.

AAS (Angle-Angle-Side) (Angle-Angle-Side)

Angle-Angle-Side is abbreviated as AAS. The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.

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The absolute value equation is:

|M - 430g| = 20g

And the solutions are M = 410g and M = 450g

b) No, the mass is not acceptable.

We know that the recomended mass is 0.43kg, with an accepted error of 20 grams.

Where:

0.43kg = 0.43*1000g = 430g

Then the minimum mass accepted is: 430g - 20g = 410g

The maximum mass accepted is: 430g + 20g = 450g

These are the solutions, and the absolute value equation is, if M is the mass:

|M - 430g| = 20g

b) If the ball has a mass of 423g it is in the accepted range, if now it loses 0.016kg:

0.016kg = 0.016*1000g = 16g

The new mass is:

423g - 16g = 407g

This is smaller than the minimum accepted mass, then this mass is not acceptable.

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The value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

The complete question is added as an attachment

The expression is given as:

-1/2(-4a - 6) + a^2

The value of a is

a = 8

So, we have:

-1/2(-4 * 8 - 6) + 8^2

Evaluate the product and the exponent

-1/2(-32 - 6) + 64

Evaluate the difference

-1/2(-38) + 64

Expand

19 + 64

Evaluate

83

Hence, the value of -1/2(-4a - 6) + a^2 when the value of a is a = 8 is 83

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Assuming max value is an integer. int max(int x, int y) { if (x > y){ return x; } else { return y; } }.The function call max(4, 7) is a valid function call.

A valid function call for the given function would be:
max(4, 7)
Here's the step-by-step explanation:
1. The function definition is:
int max(int x, int y) {
 if (x > y){
   return x;
 } else {
   return y;
 }
}
2. In the function call, we need to provide two integer values as arguments to the function. For example, max(4, 7).
3. In this case, the first argument is 4 and the second argument is 7.
4. The function compares the two arguments using the if statement. Since 4 is greater than 7, the condition x > y is true.
5. As a result, the function returns the value of x, which is 4.
Therefore, the function call max(4, 7) is a valid function call.

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The given expression \($\sqrt[4]{x^5y^6z^7}$\) can be put into exponential form by raising it to the power of 1/4. Therefore, the answer is \($(x^5y^6z^7)^{1/4}$\).

(a)\($\sqrt[4]{x^5y^6z^7}$\)

\($(x^5y^6z^7)^{1/4}$\)

Since the given expression is already in radical form, we can just raise it to the power of 1/4 to put it in exponential form. Therefore, the answer is \($(x^5y^6z^7)^{1/4}$\).

The given expression is \($\sqrt[4]{x^5y^6z^7}$\), which is in radical form. In order to put it into exponential form, we can raise it to the power of 1/4. This means that the resulting expression becomes \($(x^5y^6z^7)^{1/4}\). which is in exponential form. Since the given expression contains three variables, the exponent of each variable is equal to 1/4, and the exponent of the whole expression is the same. Therefore, the answer is \((x^5y^6z^7)^{1/4}\)

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The expression is in exponential form, which is \($x^\frac{7}{5} y^\frac{8}{5} z^\frac{3}{5}$\), raised to the fifth power.

\($\sqrt[5]{x^7 y^8 z^3}$\)

\($(x^\frac{7}{5} y^\frac{8}{5} z^\frac{3}{5})^5$\)

\($x^\frac{7\cdot 5}{5} y^\frac{8\cdot 5}{5} z^\frac{3\cdot 5}{5}$\)

\($x^7 y^8 z^3$\)

The expression is in radical form, where the base is five. By raising the powers of each variable and number to the fifth power, the expression is in exponential form, which is \($x^\frac{7}{5} y^\frac{8}{5} z^\frac{3}{5}$\). This can be done by multiplying the exponents of the variables by five and the number by five and then dividing by five. This simplifies to the original expression,\($x^7 y^8 z^3$.\)

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A situation in which conclusions based upon aggregated crosstabulation are different from unaggregated crosstabulation is known as Simpson's paradox.

Simpson’s Paradox is an example of statistics that can be wrong. The paradox is defined as averages that can be silly and misleading. Sometimes they can be just plain baffling.

It is also called the Yule-Simpson effect which is an effect that occurs when the marginal association between two categorical variables is qualitatively different from the partial association between the same two variables after controlling for one or more other variables.

This result is often encountered in social science and medical science statistics and is particularly problematic when frequency data are unduly given causal interpretations.

It is a statistical phenomenon where an association between two variables in a population emerges or reverses when the population is divided into subpopulations.

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To make a table of values for a linear relationship;

Choose a group of x values before creating the table. Add each x value from the left side column to the equation. Evaluate the equation (middle column) to arrive at the y value

Given,

Linear relationship;

A straight-line link between two variables is referred to statistically as a linear relationship (or linear association). Linear relationships can be represented graphically or mathematically as the equation y = mx + b.

Here,

We have to make a table of values for a linear relationship;

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The null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

Null hypothesis is a statistical hypothesis that claims there is no significant difference between a specified population parameter and the observed sample statistics. While alternative hypothesis is a statistical hypothesis that suggests that there is a significant difference between a specified population parameter and the observed sample statistics.In the given scenario, the null hypothesis and the alternative hypothesis will be:

Null hypothesis (H0): At most 70% of people who eat fast food more than 2x a week are overweight. (This means less than 70% are overweight)Alternative hypothesis (Ha): More than 70% of people who eat fast food more than 2x a week are overweight.

:We can evaluate the null hypothesis by testing the probability of a sample occurring, assuming the null hypothesis is true. If the probability of a sample is very low, it implies that it is unlikely that the sample was obtained assuming that the null hypothesis was true, and we can reject the null hypothesis and accept the alternative hypothesis

.In conclusion, the null hypothesis is that at most 70% of people who eat fast food more than 2x a week are overweight, and the alternative hypothesis is that more than 70% of people who eat fast food more than 2x a week are overweight.

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