The coach attempts to determine an association between shirt size and hat size. Which is most likely true?

Answer:

D edge

Step-by-step explanation:

Answer:

a.[tex]((12)^2)^3\cdot (12)^{-4}=12^2[/tex]

b.[tex]\frac{(12)^7\cdot (12)^{-5}}{(12)^2}=1[/tex]

Step-by-step explanation:

We have to complete each equation

We are given that

[tex]((12)^2)^3\cdot (12)^{-4}[/tex]

[tex](12)^6\cdot (12)^{-4}[/tex]

Using identity

[tex](a^x)^y=a^{xy}[/tex]

[tex](12)^{6-4}=(12)^2[/tex]

Using identity: [tex]a^x\cdot a^y=a^{x+y}[/tex]

[tex]((12)^2)^3\cdot (12)^{-4}=12^2[/tex]

b.[tex]\frac{(12)^7\cdot (12)^{-5}}{(12)^2}[/tex]

[tex]\frac{(12)^2}{(12)^2}[/tex]

[tex](12)^{2-2}=(12)^0=1[/tex]

Using identity: [tex]\frac{a^x}{a^y}=a^{x-y},a^0=1[/tex]

[tex]\frac{(12)^7\cdot (12)^{-5}}{(12)^2}=1[/tex]

Mean: 12.545454545455

Median: 12

Range: 8

Mode: 15, appeared 3 times

Largest: 17

Smallest: 9

Sum: 138

Count: 11

Final answer:

Using the Remainder Theorem, after substituting 5 into the polynomial p(x), we find that the remainder when p(x) is divided by (x - 5) is 240.

Explanation:

To find the remainder of p(x) divided by (x - 5), we can use the Remainder Theorem. The Remainder Theorem states that the remainder of a polynomial p(x) divided by (x - a) is p(a). Thus, we need to evaluate p(5).

Let's substitute x with 5 in the polynomial p(x):

p(5) = 2(5)^3 - 3(5) + 5
= 2(125) - 15 + 5
= 250 - 15 + 5
= 240.

Therefore, the remainder when p(x) is divided by (x - 5) is 240.

The value of the expression ∛27x⁹ is 9x³.

The given expression is ∛27x⁹.

Cube root of twenty seven times of x power nine.

We can split the terms inside the cube root.

27=3×3×3

∛x⁹ = x³

Now let us plug in the above expression.

= 3√3³ × x⁹

= 3√3³ × √ x⁹

= 3 × 3 × x³

= 9x³.

Hence, the value of the expression ∛27x⁹ is 9x³.

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Answer: the answer above is pretty much right, the answe is B

Answer:

the answer is option d y+1 =3 (x-4)

Answer:

C) 2 tan θ

E) [tex]\frac{sin2[theta]}{cos^2[theta]}[/tex] (it wouldn't let me do the actual θ symbol)

Step-by-step explanation:

This is essentially what the other person said, but in a better format.

Answer:

The alternate exterior angles with angle 11 are angle 13 and angle 5.

Step-by-step explanation:

Two angles are called Alternate exterior angles if

1. They are on the exterior side of parallel lines and

2.  Lie on the opposite sides of the transversal line.

It is given that

[tex]r\parallel s[/tex] and [tex]t\parallel u[/tex]

From the figure it is noticed that the angle 13 and angle 5 are on the exterior side of parallel lines and they lie on the opposite sides of the transversal line.

Therefore alternate exterior angles with angle 11 are angle 13 and angle 5.

Answer:

The alternate exterior angles with angle 11 are angle 13 and angle 5.

Step-by-step explanation:

The Exterior Angle Theorem establishes that the measure of an exterior angle of a triangle equals to the sum of the measures of the two remote interior angles of the triangle.

so

the answer is the option

A. the remote interior angles

9km is greater than 145cm due to the conversion factor between kilometers and centimeters.

9km is greater than 145cm because when comparing the two, you need to ensure they are in the same unit. To compare, convert km to cm, 9km = 9,000,000cm. So, 9,000,000cm is greater than 145cm.

The value of x is 7 for the given equation.

Logarithm,  a mathematical concept involving multiplication. It is the exponent or power to which a base must be raised to yield a given number.

For the given situation,

The equation is 5log(x+3)=5.

On solving this equation, we can get value of x.

⇒ [tex]5log(x+3)=5[/tex]

⇒ [tex]log(x+3)=1[/tex]

We know that, log 10 = 1

Then,

⇒ [tex]log(x+3)=log10[/tex]

⇒ [tex]x+3=10[/tex]

⇒ [tex]x=7[/tex]

Hence we can conclude that the value of x is 7 and the graph fro the logarithmic equation is shown below.

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The correct statement is A;If Karen monthly payment $260 the amt of the loan that he is considering taking out would be less than $37,796.89

The EMI formula is :

[tex]\dfrac{pr(1 + r)^n}{(1 + r)^n - 1}[/tex]

Where r = 5.5/12/100 = 0.00425

p = 37,796.89

and n = 20 x 12 = 240

Putting the values in formula we get'

= (37,796.89x 0.00425 x 2.767)/1.767

= $350

Hence,

The correct statement is A; If Karen monthly payment $260 the amt of the loan that he is considering taking out would be less than $37,796.89

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Answer:If Karen's monthly payment were $240, the amount of the loan that she is considering taking out would be less than $37,796.89.

Step-by-step explanation:

The probability of losing the game is 3/10 or 0.3 when the probability of winning is 7/10, because the total probability must always equal 1.

If the probability of winning the game is 7/10, then the probability of losing the game is the complement of the probability of winning. This means we subtract the probability of winning from 1. Therefore, the probability of losing the game is 1 - 7/10 = 3/10 or 0.3. This is because the sum of the probabilities of all possible outcomes in a probability distribution must equal 1.

[tex]\\ \text{Let the speed of the car is x km/h}\\ \text{Then, the speed of the train is x+5 km/hr}\\ \text{Now, 4 hr is the time of the car}\\ \text{and 7 hour is the time of the train}\\ \text{We know the formula}\\ \text{Distance }= \text{Velocity }\times \text{ time}\\ \text{Distance travelled by car is 4x}\\ \text{Distance travelled by train is }7(x+5)\\ \text{The total distance is given by 255 km. Hence, we have}\\ 4x+7(x+5)=255\\ 4x+7x+35=255\\ 11x=220\\ x=20[/tex]

The speed of the car is 20 km/hr and hence the speed of the train is 2+5=25 km/hr.

The speed of the train is given by 25 km/hr.

A car is traveling at 48 miles per hour. What is the speed of the car in centimeters per second? (1 mile = 5,280 feet, 1 foot = 12 inches, 1 centimeter = 0.39 inch)

Solution:

We have 48 [tex] \frac{miles}{hour}  [/tex]

To convert, miles to centimeters.

Let us convert miles to feet and then inches and then centimeters.

1miles=5280feet

And, 1 foot=12inches

So, 5280 feet or 1 miles =12*5280inches

So, 1miles=63360inches

Now, Let us convert inches to centimeters

1centimeter=0.39inches

Or, 1 inch= [tex] \frac{1}{0.39}  [/tex] centimeter

So, 63360inches (or 1 mile)= [tex] \frac{63360}{0.39}  [/tex] centimeter

1mile or 63360inches=162461.54centimeter

1mile=162461.54 centimeter

We have, 48 [tex] \frac{miles}{hour}  [/tex]

We have, 48 *[tex] \frac{162461.54 centimeter}{60minutes}  [/tex]

We have, 48* [tex] \frac{162461.54 centimeter}{60*60seconds}  [/tex]

So,  We have, 48* [tex] \frac{162461.54 centimeter}{3600seconds}  [/tex]

=48*[tex] \frac{162461.54}{3600}  [/tex][tex] \frac{centimeters}{second}  [/tex]

=48*45.13[tex] \frac{centimeters}{second}  [/tex]

=2166.15[tex] \frac{centimeters}{second}  [/tex]

Answer:= Speed of the car in centimeters per second is 2166.15 centimeters/second

The answer to the above question can be explained as under -

We know that, the sum of angles of triangle is 180°.

So, vertex angle plus base angles are equal are equal to 180°.

Let the vertex angle be represented by "v" and base angles be represented by "b".

Thus,  v + b + b = 180°

So,  v + 2b = 180°

Next, the question says, the vertex angle is 20° less than the sum of base angles.

Thus, 2b - 20° = v

Thus, we can conclude that the correct option is A) v + 2b = 180°, 2b - 20° = v

The correct system of equations for an isosceles triangle where the vertex angle is 20 degrees less than the sum of the base angles is v + 2b = 180 for the sum of the angles, and 2b - 20 = v for the relationship between the base angles and the vertex angle. Option A is correct.

The correct system of equations to find the measure of the vertex and base angles of an isosceles triangle, where the vertex angle is 20° less than the sum of the base angles, is given by option A. The two equations can be described as follows:

To solve for the angles, you would substitute the expression for v from the second equation into the first and then solve for b, which represents the measure of each base angle. Once you have b, you can find v by substituting b back into the second equation.