Which family lives the farthest from Disneyland?
Family A:
Family D
y = 95 - 55
Distance
50
Family B:
40
Family B lives 120 miles from Disneyland
and drives 60 mph.
30
Family
20
Hours
Distance
from
Disneyland
SO
10
0
1.5
0
0.2 0.4 0.6 0.8
112 Time (hours)
Family A
O Family B
O Family C
Family D

Answer:

zero

Step-by-step explanation:

This flat horizontal line is Y=1 has a slope (rate of change) of zero.

The two expressions are not equivalent.

To simplify the expression (p^2n^1/2)^0 √ p^5n^4, we first need to understand the properties of exponents and radicals.

Recall that any number raised to the power of zero is equal to 1, so (p^2n^1/2)^0 = 1.

Next, we can simplify the radical term by multiplying the exponents inside and outside the radical:

√ p^5n^4 =

(p^5n^4)^(1/2)

= p^(5/2)n^(4/2)

= p^(5/2)n^2

Combining this result with the previous step, we have:

(p^2n^1/2)^0 √ p^5n^4

= 1 * p^(5/2)n^2

= p^(5/2)n^2

This is not equivalent to p^18n^6 √p. In fact, p^(5/2)n^2 cannot be simplified any further without additional information about the expression.  ,

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The inequality  4(2.8z + 1.75) > -26.6  has 5 as a solution and its solution is, z > - 3.

A relation by which we can compare two or more mathematical expression is called an inequality.

We have to given that;

The inequalities are,

⇒ 4(2.8z + 1.75) > -26.6

⇒ 2(1.9z + 1.5) ≤ 18.2

Now, We can solve the inequalities as;

1) ⇒ 4(2.8z + 1.75) > -26.6

Divide by 4;

⇒ 2.8z + 1.75 > - 6.65

Subtract 1.75 both side,

⇒ 2.8z > - 6.65 - 1.75

⇒ 2.8z > - 8.4

Divide by 2.8;

⇒ z > - 8.4/2.8

⇒ z > - 3

Clearly, z = 5 is the solution of the above inequality.

2) 2(1.9z + 1.5) ≤ 18.2

Divide by 2;

⇒ 1.9z + 1.5 ≤ 9.1

Subtract 1.5 both side,

⇒ 1.9z ≤ 9.1 - 1.5

⇒ 1.9z ≤ 7.6

Divide by 1.9;

⇒ z ≤ 7.6/1.9

⇒ z ≤ 4

Clearly, z = 5 is not the solution of the above inequality.

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The complete question is this,

Solve each of the given inequalities for z. Which of the inequalities has 5 as a solution?

   Inequality 1                                 Inequality 2

4(2.8z + 1.75) > -26.6                2(1.9z + 1.5) ≤ 18.2

Answer:

$26,640.22

Step-by-step explanation:

Answer:

x > 3

x < 10

Step-by-step explanation:

\(\frac{x - 4}{ - 3} < \frac{1}{3} \)

You first have to seperate into two inequalities and solve separately.

Multiply by -3 and solve for x. Dont forget to switch inequality symbol because you multiply by negative. You should get x > 3

\(\frac{x - 4}{ - 3} > - 2 \)

Same thing here. Don't forget to switch inequality symbol. You should get x < 10

The length of the hypotenuse of the triangle is b = x√2 units

Given data ,

Let the triangle be represented as ΔABC

And , the triangle is a 45 - 45 - 90 triangle

So , the two legs are congruent to one another and the non-right angles are both equal to 45 degrees

And , the sides are in the proportion x : x : x√2

Now , the length of the sides of the triangle are

The measure of base BC = a units = x

The measure of height AB = c units = x

So , the measure of the hypotenuse of the triangle is = x√2 units

Hence , the triangle is solved and hypotenuse AC = x√2 units

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=============================================================

Work Shown:

Refer to the diagram below. The short leg (opposite the 30 degree angle) is equal to 1 unit, the long leg is equal to sqrt(3) units, and the hypotenuse is 2 units long.

For the reference angle 60 degrees, the opposite leg is sqrt(3) units and the adjacent leg is 1 unit

tan(angle) = opposite/adjacent

tan(60) = sqrt(3)/1

tan(60) = sqrt(3)

Answer: tan 60° = √3

Step-by-step explanation: a p e x (screenshot proof)

Answer: b = 11.62

Step-by-step explanation:

We can use this formula to solve for b:

\(b^{2} =\) \(\sqrt{c^{2}-a^{2} }\)

\(b^{2} =\) \(\sqrt{12^{2}-3^2 }\)

\(b^2= \sqrt{144-9}\)

= 11.61895004

We can round that to 11.62.

Hope this helped!

Based on the information given, we can conclude that RM = 2, but we cannot determine the lengths of the other sides of the quadrilaterals without further information.

Given that quadrilateral YFGT can be mapped onto quadrilateral MKNR by a translation, we can use the information to determine the length of RM.

A translation is a transformation that moves every point of a figure by the same distance and in the same direction. In this case, the translation is such that the corresponding sides of the quadrilaterals are parallel.

Since TY = 2, and the translation moves every point by the same distance, we can conclude that the distance between the corresponding points R and M is also 2 units.

Therefore, RM = 2.

By the properties of a translation, corresponding sides of the two quadrilaterals are congruent. Hence, side YG of quadrilateral YFGT is congruent to side MK of quadrilateral MKNR, and side GT is congruent to NR. However, the given information does not provide any additional details or measurements to determine the lengths of these sides.

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Answer:

See answer below.

Step-by-step explanation:

|-x| ≤ 3

Case 1                           Case II

|-x| ≤ 3                             - (|-x|) ≤ 3

x ≤ 3                               - (x) ≤ 3

                                         -x ≤ 3       If negative is negative, change all signs to

                                                          the opposite sign.

  x ≤ 3                                x ≥ -3

Close circle at 3                   Closed circle at -3

and shaded to the left.        and shaded to the right        

     Answer :  Closed circle at -3 and closed circle at 3 and shaded between

                      -3 and 3                  

0.105 is equivalent to the fraction 21/200 in lowest terms.

What is fraction?

A fraction is a number that represents a part of a whole. Suppose a number has to be divided into four parts, then it is represented as x/4. So the fraction here, x/4, defines 1/4th of the number x.

To convert a decimal to a fraction, we need to write the digits after the decimal point as the numerator and the place value of the last digit as the denominator. In this case, the last digit is 5, which is in the hundredths place (two places to the right of the decimal point).

Therefore, we can write:

0.105 = 105/1000

However, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5:

105/1000 = (105 ÷ 5)/(1000 ÷ 5) = 21/200

Therefore, 0.105 is equivalent to the fraction 21/200 in lowest terms.

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Answer:

C. 4,000

Step-by-step explanation:

46 can round to 50, and 82 rounds to 80. 50 * 80 = 4,000

The set builder notation of the solution inequality represented on the number line is; {x: 3< x <=5}.

It follows from the task content that at point positive 3, there's an open circle which signifies that the number 3 is less than the solution.

And since the number line is shaded from positive 3 to 5, it follows that the maximum value in the solution set is 5.

The representation is therefore; {x: 3< x <=5}.

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On the number line, the solution inequality is represented by the notation x: 3=5, which is the set builder notation of the inequality.

This is further explained below.

Given the information provided in the job, it is logical to conclude that at point positive 3, there will be an open circle. This will indicate that the number 3 will be lower than the answer.

And since the shading on the number line goes from positive 3 to 5, it follows that the highest value that can be found in the set of solutions is 5.

As a result, the representation is written as:

"x: 3 x = 5."

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Answer:

Mexican Gulf Output of a Oil-Rig

Based on 57% red flag days, Joe, the retired statistician, who watches from the shore for the red flag every day, cannot conclude that the oil-rig is operating at a non-ideal condition most of the time, but more of the time.

Step-by-step explanation:

Ideal output of a particular oil-rig, at least = 2,000 barrels per day

When output is lesser than 2,000, a red flag is raised by the foreman

Number of days counted = 28

Number of days when red flag was raised = 16

Proportion of days when the red flag was raised = 16/28

= 0.57

or 57%

Answer:

i dont know sorry do u know

Answer:

the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Step-by-step explanation:

Since 5 out of the 13 boats that docked were from North Carolina, the experimental probability of the next boat being from North Carolina is the number of favorable outcomes (i.e., the number of boats from North Carolina) divided by the total number of outcomes (i.e., the total number of boats that docked).

Therefore, the experimental probability that the next boat to dock will be from North Carolina is:

P(North Carolina) = 5/13

For the second question:

Since 2 out of the last 10 vases produced were chipped, the experimental probability that the next vase will be chipped is:

P(chipped) = 2/10 = 1/5

Therefore, the experimental probability that the next vase produced at the factory will be chipped is 1/5.

Answer: Choice C

Vertex = (5, -2)

===============================================

Explanation:

Vertex form is \(y = a(x-h)^2 + k\) where the vertex itself is located at (h,k)

As the name implies, we can very quickly pull out the coordinates of the vertex without doing much math at all.

In the case of choice C, we have \(y= \frac{1}{2}(x-5)^2 - 2\) which is the same as \(y = \frac{1}{2}(x-5)^2 + (-2)\) and we can see that h = 5 and k = -2. Therefore, the vertex is located at (h,k) = (5, -2)

Answer:?

Step-by-step explanation: SO?

Answer:

100 hours

Step-by-step explanation:

20eggs × 2 hours=40hours

20 eggs × 3hours= 60 hours

altogether:

40 + 60 =100

Answer:

Step-by-step explanation:

Assuming both birds have just laid an egg when the clock starts.

at 1 hour, no egg             egg count

at 2 hrs  goose egg               1

at 3 hrs hen egg                    2            

at 4 hrs goose egg                3

at 5 hrs no egg                      3

at 6 hrs goose and hen egg  5

we are now back to where we started where each bird has laid an egg

We get 5 eggs every 6 hours

We need 20/5 = 4 six hour periods to complete the task

6(4) = 24 hrs to complete the task

Answer:

119.38

Step-by-step explanation:

Answer:119.3805208 inches

Step-by-step explanation:

that would be 23/116 because it a unit fraction

Step-by-step explanation:

Answer:

p = 6 , q = 43

Step-by-step explanation:

x² + 12x - 7

using the method of completing the square

add/subtract ( half the coefficient of the x- term )² to x² + 12x

=x² + 2(6)x + 36 - 36 - 7

= (x + 6)² - 43 ← in the form (x + p)² - q

with p = 6 and q = 43

Answer:

y = 7

Step-by-step explanation:

3y + (y+1) + (4y-3) = 54

3y + y + 4y + 1 - 3 = 54

8y - 2 = 54

8y = 54 + 2

8y = 56

y = 56/8

y = 7

Check:

3*7 + (7+1) + ((4*7)-3) = 54

21 + 8 + 28-3 = 54

29 + 25 = 54

Answer:

interior alternative angles

x=--4°

Step-by-step explanation:

please mark me as brainlest

Answer:

1) x-2y 2) 2(13a-5)

Step-by-step explanation:

1) -1/2(-2x+4y)=2/2x-4/2y=x-2y

2) 26a-10=2(13a-5)

Answer:

10.5 mph

Step-by-step explanation:

To find the constant of proportionality in miles per hour, we need to divide the distance (in miles) by the time (in hours) for each of the two runs, and then take the average of the two rates.

For Monday's run:

Rate = Distance / Time = 21 miles / 3 hours = 7 miles per hourFor Wednesday's run:Rate = Distance / Time = 10 1/2 miles / 1 1/2 hours = (21/2) miles / (3/2) hours = 14 miles per hour

To find the average rate, we add the two rates and divide by 2:Average rate = (7 miles per hour + 14 miles per hour) / 2 = 10.5 miles per hour

Therefore, the constant of proportionality in miles per hour is 10.5. This means that Ashley runs at an average rate of 10.5 miles per hour during her training.