The Marquez family drove 191.8 miles for a weekend getaway This took them 2.8 hours. How many miles per hour did the Marquez family average?​

Step-by-step explanation:

the Domain of the function

=> Df ={1, 3, 5, 7, 9}

the Range of the function

=> Rf ={0, 1, 2, 3, 4}

Domain

set of x values

Range

set of y values

Answer:

c. - 1/6

Step-by-step explanation:

m + 2/3 = 1/2

m=1/2-2/3

m=-1/6

The simplified form of the expression as given in the task content is; 12.

The expression given in the task content can be simplified by means of PEMDAS guidelines as follows;

3 – (−2) + |−7|

= 3 +2 +7

= 12.

Hence the simplified form of the expression is 12.

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The equation of the line that has a slope of -7/3, has an x intercept at (-9,0) passes through the point (6,-35) is y = (-7/3)x - 21

An equation is an expression that shows the relationship between two or more numbers and variables.

The standard equation of a straight line is:

Ax + By = C

Where A, B and C are constants

The slope intercept form is:

y = mx + b

Where m is the rate of change and b is the y intercept

Given that the line has a slope of -7/3 has an x intercept at (-9,0) passes through the point (6,-35). Using the slope and y intercept:

y - y₁ = m(x - x₁)

y - 0 = (-7/3)(x - (-9))

y = (-7/3)x - 21

The equation of the line is y = (-7/3)x - 21

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49 and 64 are perfect squares, while 23 and 41 are not.

-If we are asked to identify a statement that is true for all of the integers 23, 41, 49, 64, one possible correct statement is: All of the integers are greater than 20.

-If we are asked to identify a statement that is false for all of the integers 23, 41, 49, 64, one possible correct statement is: All of the integers are perfect squares.

-If we are asked to identify a statement that is true for some of the integers 23, 41, 49, 64 and false for others, one possible correct statement is: Only one of the integers is a prime number. In this case, 23 and 41 are prime, while 49 and 64 are not.

-If we are asked to identify a statement that is true for any two of the integers 23, 41, 49, 64 and false for the other two, one possible correct statement is: Exactly two of the integers are perfect squares. In this case, 49 and 64 are perfect squares, while 23 and 41 are not.

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The data set that represented by the dot plot given is:

D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

In a dot plot, each data point in a data set is represented by a dot.

To find out the data set that is represented in the dot plot, list out the data points as plotted on the dot plot given.

In the given dot plot that is showing the pulse rates of runners after finishing a marathon, it can be seen that,

There are 1 dot on 145, 5 dots on 165, 6 dots on 175 and 1 dot on 185.

Thus:

Therefore, the data set that represented by the dot plot given is:

D. {145, 165, 165, 165, 165, 165, 175, 175, 175, 175, 175, 175, 185}

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Answer:

D. Ray

Step-by-step explanation:

Point: A dot in an exact location or position on a plane surface.

Line: A straight line that goes on infinitely in both directions and has no endpoints.

Line segment: A line between two points on each end.

Ray: A line with one endpoint and extends in one direction infinitely.

The discount expression is d > 400 and the temperature expression is t ≤ 40

We understand that the shopper must spend more than $400 to get 10% discount

So, the expression for the amount spent is:

d > 400

We understand that the temperature is no more than 40F

So, the expression for the temperature is:

t ≤ 40

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For the installment loan of $1500.00, for 4 years, charged at at 6%, the monthly payment is given as $35.00. Of the first monthly payment of $35.00, the part which goes towards the interest is found to be $7.50.

In the first payment, a portion of the payment will go towards the interest accrued on the loan. To calculate this amount, we need to first determine the total interest charged over the life of the loan. Now, the formula for the total interest 'I' on a principal amount 'P' for a term length of 'T' years at 'R%' rate of interest is given as follows,
\(I=\frac{P \times R \times T}{100}\)

According to the data in the question, we have P as $1500.00, R as 6% and T as 4 years. Substituting these values in the formula, we get the total interest as,
\(I=\frac{1500.00 \times 6 \times 4 }{100}\\I=360\)
So, the total Interest comes out to be $360.00  Now, as the loan is being paid off over 4 years, and as an year has 12 months, so the total number of payments that will be made will be,

\(12\times 4=48\)
Now, in order to determine how much of the first payment will go towards interest, we can use the following formula,
\(Interest Portion = \frac{Total Interest}{Total Payments}\)
\(Interest Portion =\frac{360}{48}\)
\(Interest Portion =7.50\)
Therefore, of the first payment of $35.00, $7.50 will go towards interest.

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The midpoint has coordinates (19,19) as per the midpoint formula.

The statement is false.

The statement is false. The midpoint of the segment joining two points is determined by taking the average of their x-coordinates and the average of their y-coordinates. In this case, the two given points are (0,0) and (38,38).

To find the x-coordinate of the midpoint, we take the average of the x-coordinates of the two points:

(x1 + x2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

Therefore, the x-coordinate of the midpoint is 19, which matches the statement. However, to determine if the statement is true or false, we also need to check the y-coordinate.

To find the y-coordinate of the midpoint, we take the average of the y-coordinates of the two points:

(y1 + y2) / 2

= (0 + 38) / 2

= 38 / 2

= 19

The y-coordinate of the midpoint is also 19. Therefore, the coordinates of the midpoint are (19,19), not 19 as stated in the statement. Since the midpoint has coordinates (19,19), the statement is false.

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Among the given numbers,

169 is the perfect square.

\( \sqrt{169} = 13\)

Complete question :

Abdul's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Abdul $4.25 per pound, and type B coffee costs $5.90 per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of $337.05 . How many pounds of type A coffee were used?

Answer:

21 pounds

Step-by-step explanation:

Pounds of coffee A used = x

Pounds of coffee B = 2x

Cost per pound of A = $4.25

Cost per pound of B = $5.90

Total cost of coffee = $337.05

4.25x + 2x(5.90) = 337.05

4.25x + 11.8x = 337.05

16.05x = 337.05

x = 337.05 / 16.05

x = 21

Hence, 21 pounds of coffee A was used

Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

Now, According to the question :

What is Vertical line?

A vertical line is a line, parallel to y-axis and goes straight, up and down, in a coordinate plane. Whereas the horizontal line is parallel to x-axis and goes straight, left and right.

Is a vertical line positive or negative?

The slope of a line can be positive, negative, zero, or undefined. A horizontal line has slope zero since it does not rise vertically (i.e. y1 − y2 = 0), while a vertical line has undefined slope since it does not run horizontally (i.e. x1 − x2 = 0).

Hence, Vertical lines do not have positive slopes or negative slopes. They have undefined slopes.

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Answer:

0.2h

Step-by-step explanation:

13/78 = 0.16666666666667

Rounded to the nearest tenth is the 0.2

Time

The height of the triangle will be equal to H=8.66 inches and the area of the triangle will be 43.30 square inches.

The space covered by the triangle in the two-dimensional plane will be the area of the triangle.

It is given that in the triangle all three sides are 10 inches:-

Height of the triangle=?

Area of the triangle=?

First the height of the triangle will be calculated as:-

\(\rm Tan\theta=\dfrac{P}{B} \\\\\\Tan\theta=\dfrac{P}{5}\\\\\\Tan60=\dfrac{P}{5}\\\\\\P=8.66\ inches\)

The area of the triangle will be:-

\(\rm Area= \dfrac{1}{2}\times Base\times Height\\\\\\Area=\dfrac{1}{2}\times 5\times 8.66\\\\\\Area = \43.30\ square \ inches\)

Hence the height of the triangle will be equal to H=8.66 inches and the area of the triangle will be 43.30 square inches.

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Answer:

The complement of a 90° angle is a 0° angle.

Answer:

The complement of a 90° angle is a 0° angle.

Step-by-step explanation:

To get complement of any angle we subtract it with 90°.

The most effective chunking of the digit sequence 14929111776 would depend on the purpose of chunking.

However, a possible effective chunking could be 14-92-91-11-77-6, which groups the digits into pairs or triplets based on their similarity or pattern. Another possible chunking could be 1492-911-1776, which separates the digits based on significant historical events. Ultimately, the effectiveness of chunking would depend on the context and intended use of the sequence. The most effective chunking of the digit sequence 14929111776 would be to group the numbers into smaller, manageable chunks. One possible way to chunk the sequence is: 149-29-11-17-76. This breaks the sequence into five groups, making it easier to remember and process.

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The greatest common divisor (GCD) of 735 and 504 is 21. Using the Euclidean algorithm, we find that the GCD can be expressed as 735x + 504y, where x = 11 and y = -5.

(a) To compute the GCD using the Euclidean algorithm, we start by dividing the larger number (735) by the smaller number (504):  \(735 = 504 * 1 + 231\)

Next, we divide the previous divisor (504) by the remainder (231):

\(504 = 231 * 2 + 42\)

We continue dividing the previous divisor by the remainder until we reach a remainder of 0:

\(231 = 42 * 5 + 21\\42 = 21 * 2 + 0\)

The last non-zero remainder is 21, which is the GCD of 735 and 504.

(b) To find integers x and y such that the GCD of 735 and 504 can be written in form 735x + 504y, we can use the extended Euclidean algorithm.

Starting with the last two equations from part (a):

\(21 = 231 - 42 * 5\\21 = 231 - (504 - 231 * 2) * 5\)

To simplifying, we have:

\(21 = 11 * 231 - 5 * 504\)

Therefore, we can write the GCD of 735 and 504 as:

\(21 = 11 * 735 - 5 * 504\)

So, x = 11 and y = -5 satisfy the equation 735x + 504y = 21, with x and y being integers.

In conclusion, the GCD of 735 and 504 is 21, and it can be expressed as 735x + 504y, where x = 11 and y = -5.

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Answer:

z=-5; x=0 ; y=3

Step-by-step explanation:

2x= -2z -10; -2z-10+y-z=8; y-3z-10=8; y-3z=18

2y-3z=21; 2y=3z+21; y= 1.5z+10.5; y-3z=18

1.5z+10.5-3z=18; -1.5z+10.5=18; -1.5z=7.5; z=-5

x+z=-5; x-5=-5; x=0; 2y-3z=21; 2y+15=21; 2y=6; y=3

2x+y-z=8; 2(0)+3-(-5)=8; 3+5=8; 8=8

Answer:

2 \(\frac{3}{8}\)

Step-by-step explanation:

3/4 + 5/6  (lowest common denominator = 12)

= 9/12 + 10/12

= 19/12

19/12 ÷ 2/3  (reciprocate 2/3 to replace division sign by multiplication sign)

= 19/12 x 3/2

= 57/24

= 19/8

= 2 \(\frac{3}{8}\)

Hope this helps :)

Answer:

Answer: Pct women = 56%; pct men = 44%

Step-by-step explanation:

Pct men = total men/total people * 100

men = 750-420 = 330

Pct men = 330/750 *100 = 11/25 *100 = 0.44 * 100 = 44%

.

Pct women = 100% - 44% = 56%

.

Check the answer by checking the percentage of women.

women = 420

Pct women = 420/750 * 100 = 14/25 = 56%

Correct.

.

Answer: Pct women = 56%; pct men = 44%

The value of x in the hexagon is 17.

A hexagon is a polygon with six sides. The sum of angles in a hexagon is 720 degrees.

Therefore, x can be found in the hexagon as follows:

we have to sum the whole angles to get x.

110 + 8x - 1 + 5x + 36 + 116 7x + 19 + 6x - 2 + 110 = 720

combine like terms

110 + 116 - 2 + 36 - 1 + 19 + 8x + 5x + 7x + 6x  = 720

278 + 26x = 720

subtract 278 from both sides of the equation

278 + 26x = 720

278 - 278 + 26x = 720 - 278

26x = 442

divide both sides by 26

x = 442 / 26

x = 17

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Answer:

Step-by-step explanation:

RV=VU and SW=WT    means    \(VW=\frac{RS+UT}{2}\)

So:

\(3x+5=\dfrac{2x+15+6x-37}{2} \\^{\qquad\times2\qquad\qquad\qquad\qquad\times2} \\6x+10=8x-22\\^{\qquad-10\qquad-10}\\6x=8x-32\\^{-8x\qquad-8x}\\-2x=-32\\^{\div(-2)\quad\div(-2)}\\x=16\\\\RS=2x+15=2\times16+15=32+15=47\)

The wide-area search method employs the use of markers such as knots at regular intervals along the search line.

Given the method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line.

In order to locate, relieve distress, and preserve the life of a person who has been reported missing or is believed to be lost, stranded, or is considered a high-risk missing person, wide area search and rescue refers to activities occurring within large geographic areas. It also refers to the removal of any survivors to a safe location.

Hence, the wide-area search method employs the use of markers such as knots at regular intervals along the search line to indicate distance from the beginning of the search line

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The formula for finding the total surface area of ​​the faces of a cylindrical container is 2r(h + r), where r is the radius of the circular base of the cylinder and h is its height.

The cylindrical container has two rounded bottoms and a curved surface. We need to take these two things into account to get the total surface area of ​​the cylindrical container.

The equation for the all-out region of a barrel-shaped compartment is 2r(h + r), where r is the span of the round base and h is the level of the chamber.

The region (2πrh) of a bent surface of a chamber can be gotten by adding the regions (2πr²) of the upper and lower roundabout surfaces. The area of ​​each cylindrical face is taken into account in the resulting formula.

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The question is -

What is the formula for calculating the total surface area of the faces of the cylindrical container?

Answer:

(22h - 8) centimeters

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

= 2{(9h - 1) + (2h - 4)}

= 2(9h - 1 + 2h - 4)

= 2(11h - 4)

= (22h - 8) centimeters

Answer:

4

Step-by-step explanation:

B= 1

D= -3

Distance between the two? 4 points

1 - (-3) = 4