The relationship between women's whole-number shoe sizes and foot lengths is an arithmetic sequence, where an is the foot length in inches that corresponds to a shoe size of a n. A women's size 7 fits a foot 9 1/3 inches long, ands women's size 12 fits a foot 11 inches long. What is the explicit formula for the arithmetic sequence? Round to the nearest hundredth, if necessary. an=-17.91 +2.99(n-1), an=-5+2.99(n-1), an=7+0.33(n-1) , an=7.35+ 0.33(n-1)

QUESTION POSTED AT 18/01/2020 - 07:38 AM

Related questions

In 2008, the price of a gallon of unleaded gasoline was $4.02. In 1990, it was only $1.37 per gallon. What is the increase expressed as a percent change? Round to the nearest percent. A. 66% B. 393% C. 193% D. 134% please i need help' ...?

First get the difference between the 2008 price and 1990 which is $4.02-$1.37= $2.65. Then the difference you've got which is $2.65, divide it to the current market price which is $4.02 to get the how many percentage it increased since then, $2.65/$4.02= 0.65920398 then multiply it to 100. It would be 65.92 or 66% if rounded off to whole number.

ANSWERED AT 16/02/2020 - 06:40 PM


QUESTION POSTED AT 16/02/2020 - 06:40 PM

True or false. The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. ...?

Answer:  The given statement is FALSE.

Step-by-step explanation:  We are given to check whether he following statement is true or false :

"The sine of an angle in a right triangle is equal to the ratio of the length of the side adjacent to the angle divided by the length of the hypotenuse. "

Let us consider the right-angled triangle ABC as shown in the attached figure below.

With respect to acute angle C, we can see that

perpendicular, p = AB

base, b = BC

and

hypotenuse, h = AC.

We know that

sine of an angle in a right-angled triangle is equal to the ratio of the perpendicular to the base.

So, we must have

\sin \angle C=\dfrac{p}{h}\\\\\\\Rightarrow \sin \angle C=\dfrac{AB}{AC}.

Since AB is the opposite side to angle C, not adjacent, therefore

sine of any angle in a right-angled triangle is the ratio of the length of the OPPOSITE SIDE to length of the hypotenuse.

Thus, the given statement is FALSE.

ANSWERED AT 16/02/2020 - 06:38 PM


QUESTION POSTED AT 16/02/2020 - 06:38 PM

Find the area of the regular polygon. Give the answer to the nearest tenth. dodecagon with a perimeter of 108 cm ...?

A regular dodecagon is a polygon with 12 equal sides.
Length of each side = 108/12 = 9 cm.

Length of the apothem = (9/2)/tan 15 = 9/2tan 15 = 16.79 cm

Area of each triangle = 9/2(16.79) = 75.57 cm^2

Therefore, area of the dodecagon = 12(75.57) = 906.9 cm^2

ANSWERED AT 16/02/2020 - 06:36 PM


QUESTION POSTED AT 16/02/2020 - 06:36 PM

Is the line through points P(–8, –10) and Q(–5, –12) perpendicular to the line through points R(9, –6) and S(17, –5)? Explain. ...?

Answer: No, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

Step-by-step explanation:

Two lines are called perpendicular to each other if the product of their slope is -1.

Since, the slope of a line having end points (x_1,y_1) and (x_2,y_2) is,

m=\frac{y_2-y_1}{x_2-x_1}

Thus, the slope of line Joining points P(–8, –10) and Q(–5, –12),

m_1=\frac{-12+10}{-5+8}=\frac{-2}{3}=-\frac{2}{3}

While, The slope of line Joining points R(9, –6) and S(17, –5),

m_2=\frac{-5+6}{17-9}=\frac{1}{8}

Since,

m_1\times m_2=-\frac{2}{3}\times \frac{1}{8}=-\frac{1}{12}\neq -1

Thus, the line through points P(–8, –10) and Q(–5, –12) is not perpendicular to the line through points R(9, –6) and S(17, –5).

ANSWERED AT 16/02/2020 - 06:35 PM


QUESTION POSTED AT 16/02/2020 - 06:35 PM

A rectangular table is two times as long as it is wide. If the area is 50ft^2, find the length and the width of the table.

10ftx5ft .........................................................................................................................................................................................................................................................................................

ANSWERED AT 16/02/2020 - 06:32 PM


QUESTION POSTED AT 16/02/2020 - 06:32 PM

Draw a model to show a fraction that is equivalent to 1/3 and a fraction that is not equivalent to 1/3.

2/3 is not equivalent to 1/3
2/6 is equivalent to 1/3

ANSWERED AT 16/02/2020 - 06:31 PM


QUESTION POSTED AT 16/02/2020 - 06:31 PM

Least common denomaitor of 1/3 and 1/5

Find the LCM (Least Common Multiple) of the denominators in order to find the LCD (Least Common Denominator) 
The LCD would be 15. 

ANSWERED AT 16/02/2020 - 06:09 PM


QUESTION POSTED AT 16/02/2020 - 06:09 PM

Which sequence is not equivalent to the others? (1) a reflection across the y-axis, followed by a reflection across the x-axis, and then a 90° clockwise rotation about the origin (2)a 90° clockwise rotation about the origin and then a 180° rotation about the origin (3) a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis (4) a 90° counterclockwise rotation about the origin

Answer with explanation:

Consider the geometrical shape , which is in the first Quadrant

Option 1:

  A reflection across the y-axis, followed by a reflection across the x-axis, and then a 90° clockwise rotation about the origin .

Explanation:  

  When we reflect the shape across y axis , it will reach in second Quadrant, then by reflection across the x-axis,takes it to the third Quadrant,then a 90° clockwise rotation about the origin takes it to the second Quadrant.

Option 2:

a 90° clockwise rotation about the origin and then a 180° rotation about the origin

Explanation:  

90° clockwise rotation about the origin, takes the shape to fourth Quadrant,and then  a 180° rotation about the origin takes the shape to Second Quadrant.

Option 3

a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis

Explanation:

a reflection across the x-axis, takes the shape in fourth Quadrant,then a 90° counterclockwise rotation about the origin takes the shape in first Quadrant, and again then a reflection across x axis ,takes the shape again in Fourth Quadrant.

Option 4

a 90° counterclockwise rotation about the origin

Explanation:

a 90° counterclockwise rotation about the origin takes the shape in Second Quadrant.

Option 3 That is , Statement 3,⇒ a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a reflection across the x-axis, is not equivalent to the other statement.

ANSWERED AT 16/02/2020 - 06:07 PM


QUESTION POSTED AT 16/02/2020 - 06:07 PM

What is 3 1/6 divided by 9/10 and what is 4 1/3 divided by 4/7? PLZ HELP MEH :

(19/6)/(9/10)=95/27
(13/3)/(4/7)=91/12

ANSWERED AT 16/02/2020 - 06:07 PM


QUESTION POSTED AT 16/02/2020 - 06:07 PM

The medians of a triangle are the line segments from each vertex to the midpoint of the opposite side. Find the lengths of the medians of the triangle with vertices at A=(0,0), B=(6,0), C=(4,4) ...?

Answer:

\sqrt{29} , \sqrt{20} , \sqrt{17}

Step-by-step explanation:

Consider ΔABC with vertices A\left ( 0,0 \right )\,,\,B\left ( 6,0 \right )\,,\,C\left ( 4,4 \right ) such that P , Q , R are midpoints of sides BC , AC and AB .

We know that midpoint of line segment joining points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is equal to \left ( \frac{x_1+x_2}{2}\,,\,\frac{y_1+y_2}{2} \right )

Midpoints P , Q , R :

P\left ( \frac{6+4}{2}\,,\,\frac{0+4}{2} \right )=P\left ( 5\,,\,2 \right )\\Q\left ( \frac{0+4}{2}\,,\,\frac{0+4}{2} \right )=Q\left ( 2\,,\,2 \right )\\R\left ( \frac{6+0}{2}\,,\,\frac{0+0}{2} \right )=R\left ( 3\,,\,0 \right )

We know that distance between points \left ( x_1,y_1 \right )\,,\,\left ( x_2,y_2 \right ) is given by \sqrt{\left ( x_2-x_1 \right )^2+\left ( y_2-y_1 \right )^2}

Length of AP :

AP = \sqrt{\left ( 5-0 \right )^2+\left ( 2-0\right )^2}=\sqrt{25+4}=\sqrt{29}

Length of BQ :

BQ = \sqrt{\left (2-6 \right )^2+\left ( 2-0 \right )^2}=\sqrt{16+4}=\sqrt{20}

Length of CR :

\sqrt{\left (3-4\right )^2+\left ( 0-4 \right )^2}=\sqrt{1+16}=\sqrt{17}

ANSWERED AT 16/02/2020 - 05:32 PM


QUESTION POSTED AT 16/02/2020 - 05:32 PM

83.3333 rounded to nearest tenth of a percent ...?

83.3

Is the number rounded to the nearest tenth.

ANSWERED AT 16/02/2020 - 05:30 PM


QUESTION POSTED AT 16/02/2020 - 05:30 PM

Miguel hiked 3 miles in 54 minutes. at this rate, how long will it take him to hike 5 miles?

Answer:

For 5 miles Miguel takes 90 minutes.

Step-by-step explanation:

As given

Miguel hiked 3 miles in 54 minutes.

i.e

3 miles = 54 minUtes

\frac{54}{3}\ minutes = 1\ miles

18 minutes = 1 miles

Thus

For 1 miles Miguel takes 18 minutes.

Now calculated for 5 miles.

Time\ taken\ for\ 5\ miles = 18\times 5

Time\ taken\ for\ 5\ miles =90\ minutes

Therefore for 5 miles Miguel takes 90 minutes.



ANSWERED AT 16/02/2020 - 04:52 PM


QUESTION POSTED AT 16/02/2020 - 04:52 PM

Simplify 12+3 [5+(4-2)]

Is the answer to your question 33

ANSWERED AT 16/02/2020 - 04:43 PM


QUESTION POSTED AT 16/02/2020 - 04:43 PM

Use the given graph to estimate the value of each derivative. (Round all answers to one decimal place.) f'(0) f'(1) f'(2) f'(3) f'(4) f'(5)

F'(x) is the derivative of f(x). the y value of derivative is the same value as the slope of f(x) at whatever point your looking at so at x=1 the tangent line of f(x) will be horizontal (or zero) so f'(x)=0

ANSWERED AT 16/02/2020 - 04:35 PM


QUESTION POSTED AT 16/02/2020 - 04:35 PM

The price of a gallon of unleaded gas was $2.89 yesterday. Today, the price fell to $2.82 . Find the percentage decrease. Round your answer to the nearest tenth of a percent

If u have $2.89 yesterday so you need to times $2.82 so I need th0 in the 10th percent so when u times 

ANSWERED AT 16/02/2020 - 04:11 PM


QUESTION POSTED AT 16/02/2020 - 04:11 PM

12 friends are at a party.8 Friends leave the party early. they have 3 1/2 pizzas. if they share the pizza evenly, how much pizza will each get to eat

There is not enough information did they share the pizza before the ones left or after that means there could be 2 probable outcomes

ANSWERED AT 16/02/2020 - 04:10 PM


QUESTION POSTED AT 16/02/2020 - 04:10 PM

A rectangular plot of land is to be fenced in using two kinds of fencing. Two opposite sides will use heavy-duty fencing selling for $3 a foot, while the remaining two sides will use standard fencing selling for $2 a foot. What are the dimensions of the rectangular plot of greatest area that can be fenced in at a cost of $6000?

Ok lets do this like this:
Let x = length Let y = width
From this we know that area A=xy.
Now, perimeter is P=2x+2y
cost would be 3(2x)+2(2y) or 6x +4y=$6,000.00.
From this cost equation we solve for x in terms of y 6x=6000-4y x=1000-(4y)/6.
now lets substitute this value in the area equation A=xy. A=(1000-4y/6)y A=1000y−4y2/6=1000y−2y2/3 differentiate and set to equal zero (0) 1000−(−4y/3)=0 Solve for y and obtain y=750ft

ANSWERED AT 16/02/2020 - 04:07 PM


QUESTION POSTED AT 16/02/2020 - 04:07 PM

A ferris wheel is 35 meters in diameter and boarded at ground level. The wheel makes one full rotation every 8 minutes, and at time t = 0 you are at the 9 o'clock position and descending. Let f(t) denote your height (in meters) above ground at t minutes. Find a formula for f(t).

F(t) = -17.5sin((t/4)*pi) + 17.5
Because the ferris wheel is a circle you can use sine and cosine. As we are descending and in the middle of the descent the use of negative sine makes the most sense.
Period = 2pi.
Our period is 8 minutes.
8 minutes*w = 2pi
w = (t/4) * pi.
The 17.5 at the end is to take into account that we are 17.5 meteres up in the air at the start.

ANSWERED AT 16/02/2020 - 04:07 PM


QUESTION POSTED AT 16/02/2020 - 04:07 PM

The function h(d) = 2d+4.3 relates the h height of the water in a fountain in feet to the d diameter of the pipe carrying the water. Graph the function on a calculator and use the graph to find the height of the water when the pipe has a diameter of 1.5 inches

You can do what the directions say and enter the function into a calculator. if you're having trouble learning how to graph on a calculator, i would suggest looking up a tutorial with pictures or videos, since it would be really confusing to explain through text alone on this site.

however, you can solve it without use of a calculator; just plug in 1.5 inches for d.

h = 2(1.5) + 4.3
h = 7.3

the height is 7.3 when the diameter is 1.5

the way you should find this on a graph entered into a calculator would be by "tracing" the graph ("trace" should be a button on your calc). it prompts you to pick like a left/right bound, if i remember correctly, and it'll guess the point in the middle of them. if a graphing tutorial isn't helpful, you can always refer to the table function as well and change the settings so that it lets you enter your own x-values (yet another thing you can find how to do in the instruction booklet that came with your calc, or a visual tutorial). sorry i couldn't be more helpful in regards to the actual graphing! it's just a pretty confusing process to explain unless you can physically show the person with a calc of your own

ANSWERED AT 16/02/2020 - 04:02 PM


QUESTION POSTED AT 16/02/2020 - 04:02 PM

Steven cuts a 25-foot board into 2 pieces. One piece is 4 feet more than 2 times the length of the second piece. What is the length of the second, shorter, piece of the board?

Answer:

The length of the shorter piece of the board is 7 ft.

Step-by-step explanation:

Given,

The 25-foot board into 2 pieces.

Let x be the length of one piece,

So, the length of the other piece = ( 25 - x ) feet,

Now, according to the question,

25 - x = 2x + 4

-x - 2x = 4 - 25

-3x = - 21

x = 7

Hence, the length of two pieces are 7 feet and 18 feet,

In which 7 feet is the length of shorter piece.

ANSWERED AT 16/02/2020 - 04:02 PM


QUESTION POSTED AT 16/02/2020 - 04:02 PM

24 ÷ (12 - 4) A. 32 B. 2 C. 8 D. 3

D.3 is the answer so yea now write it down

ANSWERED AT 16/02/2020 - 03:17 PM


QUESTION POSTED AT 16/02/2020 - 03:17 PM

A mountain climber is at an elevation of 10,712 feet. After 4 hours, he is at an elevation of 8,884 feet. Find the climber’s vertical speed using this formula:

I am not sure about the formula but if you subtract 8,884 from 10,712 you get 1,828. Then, if you divide that by 4 you get 457. 457 fph(feet per hour) should be the climbers vertical speed.

ANSWERED AT 16/02/2020 - 03:09 PM


QUESTION POSTED AT 16/02/2020 - 03:09 PM

Simplify the given expression. (See attachment) Assume that no variable equals 0. Answer choices: A) 2x^3Y^12 B. 4x^6/y^12

Working on x and y first, we get: x6 / x3x3 and y6/ y12 = 1/ y6 so, we have: 2 x3 /  y6
Entering values in original equation, we get:
(2 x3/ y6)^2=4 x^6 / y^12

ANSWERED AT 16/02/2020 - 06:42 AM


QUESTION POSTED AT 16/02/2020 - 06:42 AM

12 more victories then losses. The number of victories was one more than two times the number of losses. How many regular season games did they play?

Victories=v
losses=l

v=12+l
v=1+2l

12+l=1+2l
11=l

v=1+2(11)
v=23

ANSWERED AT 16/02/2020 - 06:16 AM


QUESTION POSTED AT 16/02/2020 - 06:16 AM

Round this number to the nearest thousand,hundred thousand and million 8500976

Nearest thousand: 8501000
Nearest hundreds thousand: 8500000
Nearest million: 9000000

ANSWERED AT 16/02/2020 - 06:14 AM


QUESTION POSTED AT 16/02/2020 - 06:14 AM

What is the volume of a cube that's length is 6 yards

I think the volume is 24

ANSWERED AT 16/02/2020 - 06:11 AM


QUESTION POSTED AT 16/02/2020 - 06:11 AM