I need some help with this! I know about the trig identitys and stuff like that, but I just get a little confused on how to apply sometimes.

I Need Some Help With This! I Know About The Trig Identitys And Stuff Like That, But I Just Get A Little

Answers

Answer 1

we have that

Let

x ------> the distance in miles from a point on the ground (the red line)

In the right triangle of the figure

sin(6.5)=7,000/x

solve for x

x=7,000/sin(6.5)

using a calculator

x=61,835.70 ft

Convert to miles

Remember that

1 mile=5,280 ft

so

61,835.7 ft=61,835.7/5,280=11.71 miles

therefore

the answer is 11.71 miles

Related Questions

Jason provided the following work when asked to convert 0.105 to its
simplest fraction form.
1. Why did Jason get the problem wrong?
2. Provide the work for properly writing the decimal in its simplest fraction
form.
Jason's Work:
0.105=

105/1000

21/200

Answers

Jason provided the work when asked to convert 0.105 to its simplest fraction form which is; 21/200

How to convert from decimal to fraction?

For conversion from decimal to fraction, we write it in the form a/b such that the result of the fraction comes as the given decimal. To get the decimal of the form a.bcd, we will count the digits that are there after the decimal point; then we write 10 raised to that many power as the denominator and the considered number without any decimal point as the numerator.

Given that Jason's Work:

0.105

Jason provided the work when asked to convert 0.105 to its simplest fraction form which could be;

0.105 = 105/1000

= 21/200

Hence, Jason provided the work when asked to convert 0.105 to its simplest fraction form which is; 21/200

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Two students are painting strips of wood to make scenery for the school play. Henry has painted 14 strips of wood. He can paint 3½ strips of wood per minute. Sandy has painted 10 strips of wood. She can paint 4 strips of wood per minute. After how many minutes will both students have painted the same number of strips of wood? Let m represent the number of minutes. Select the correct values to write an equation to represent the situation.

Answers

The number of minutes when they would both paint the same strip of wood is 8 minutes.

In how many minutes would they paint the same strip of wood?

The linear equation that represents the total strip of wood that is painted by Henry is: amount of strips already painted + (strips painted per minute x minute)

14 + (3½x m)

14 + 3½m

The linear equation that represents the total strip of wood that is painted by Sandy is: amount of strips already painted + (strips painted per minute x minute)

10 + (4 x m)

10 + 4m

When both people paint the same strip of wood, the two above equations would be equal.

10 + 4m  = 14 + 14 +3½m

4m - 3½m = 14 - 10

0.5m = 4

m = 4 / 0,5 = 8

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what is 2x2 and 3x0 and 3x3 and 4x4

Answers

the correct answer would be;
4, 0, 9, and 16

What is an equation of a parabola with the given vertex and focus? vertex: (-2, 5)focus: (-2, 6)show each step

Answers

[tex]y=\frac{1}{4}(x+2)^2+5[/tex]

Explanation

the equation of a parabola in vertex form is give by:

[tex]\begin{gathered} y=a(x-h)^2+k \\ \text{where} \\ (h,k)\text{ is the vertex} \\ and\text{ the focus is( h,k}+\frac{1}{4a}) \end{gathered}[/tex]

Step 1

so

let

a) vertex

[tex]\begin{gathered} vertex\colon(h.k)\text{ }\rightarrow(-2,5) \\ h=-2 \\ k=5 \end{gathered}[/tex]

and

b) focus

[tex]\begin{gathered} \text{( h,k}+\frac{1}{4a})\rightarrow(-2,6) \\ so \\ h=-2 \\ \text{k}+\frac{1}{4a}=6 \\ \end{gathered}[/tex]

replace the k value and solve for a,

[tex]\begin{gathered} \text{k}+\frac{1}{4a}=6 \\ 5+\frac{1}{4a}=6 \\ \text{subtract 5 in both sides} \\ 5+\frac{1}{4a}-5=6-5 \\ \frac{1}{4a}=1 \\ \text{cross multiply } \\ 1=1\cdot4a \\ 1=4a \\ \text{divide both sides by }4 \\ \frac{1}{4}=\frac{4a}{4}=a \\ a=\text{ }\frac{1}{4} \end{gathered}[/tex]

Step 2

finally, replace in the formula

[tex]\begin{gathered} y=a(x-h)^2+k \\ y=\frac{1}{4}(x-(-2))^2+5 \\ y=\frac{1}{4}(x+2)^2+5 \\ \end{gathered}[/tex]

therefore, the answer is

[tex]y=\frac{1}{4}(x+2)^2+5[/tex]

I hope this helps you

translate the following into an equation:6 less decreased by twice a number results in 8

Answers

Let the number be x.

Twice the number means 2 * x = 2x

Twice the number decreased by 6 means

2x - 6

Given that the result is 8, we have

2x - 6 = 8

Graph the functions on the same coordinate plane.f(x) = −5g(x) = x^2 + 2x − 8What are the solutions to the equation f(x) = g(x)? Select each correct answer.−5−3−113

Answers

ANSWER

[tex]\begin{equation*} -3,1 \end{equation*}[/tex]

EXPLANATION

The graphical solution to the given equation is obtained at the points where the two graphs of the two functions intersect each other on the coordinate plane.

To graph f(x), we simply draw a straight horizontal line at the point y = -5.

To graph g(x), we have to find coordinate points by substituting values of x into the function and obtaining values for g(x).

Let us find the value of g(x) when x = -3, -1, 1:

[tex]\begin{gathered} x=-3: \\ g(-3)=(-3)^2+2(-3)-8=9-6-8 \\ g(-3)=-5 \\ x=-1: \\ g(-1)=(-1)^2+2(-1)-8=1-2-8 \\ g(-1)=-9 \\ x=1: \\ g(1)=(1)^2+2(1)-8=1+2-8 \\ g(1)=-5 \end{gathered}[/tex]

Now, we have three points to plot the graph with: (-3, -5), (-1, -9), (1, -5)

Let us now plot the graphs of the functions:

Therefore, the solutions to the equation f(x) = g(x) are:

[tex]\begin{gathered} x=-3,x=1 \\ \Rightarrow-3,1 \end{gathered}[/tex]

The mean amount of time it takes a kidney stone to pass is 16 days and the standard deviation is 5 days. Suppose that one individual is randomly chosen. Let X = time to pass the kidney stone. Round all answers to 4 decimal places where possible.a. What is the distribution of X? X ~ N(16Correct,5Correct) b. Find the probability that a randomly selected person with a kidney stone will take longer than 17 days to pass it. 0.2Incorrectc. Find the minimum number for the upper quarter of the time to pass a kidney stone. 0.8Incorrect days.

Answers

Answer:

• (a)X ~ N(16, 5)

,

• (b)0.4207

,

• (c)19.37 days

Explanation:

(a)

• The mean amount of time = 16 days

,

• The standard deviation = 5 days.

Therefore, the distribution of X is:

[tex]X\sim N(16,5)[/tex]

(b)P(X>17)

To find the required probabability, recall the z-score formula:

[tex]z=\frac{X-\mu}{\sigma}[/tex]

When X=17

[tex]z=\frac{17-16}{5}=\frac{1}{5}=0.2[/tex]

Next, find the probability, P(x>0.2) from the z-score table:

[tex]P(x>0.2)=0.4207[/tex]

The probability that a randomly selected person with a kidney stone will take longer than 17 days to pass it is 0.4207.

(c)The upper quarter is the value under which 75% of data points are found.

The z-score associated with the 75th percentile = 0.674.

We want to find the value of X when z=0.674.

[tex]\begin{gathered} z=\frac{X-\mu}{\sigma} \\ 0.674=\frac{X-16}{5} \\ \text{ Cross multiply} \\ X-16=5\times0.674 \\ X=16+(5\times0.674) \\ X=19.37 \end{gathered}[/tex]

The minimum number for the upper quarter of the time to pass a kidney stone is 19.37 days.

The graph of f (in blue) is translated a whole number of units horizontally and vertically to obtain the graph of k (in red).The function fis defined by f(x) = fx/.Write down the expression for k(x).

Answers

Solution

We have the original function defined as:

[tex]f(x)=-\sqrt[]{x}[/tex]

And we want to obtain the new red line so then we need to check how many units down and right the function moves:

And we have 3 units to the right and 2 units down then the answer is:

[tex]h(x)=-\sqrt[]{x-3}-2[/tex]

Then the final answer is:

h(x) = -sqrt(x-3) -2

Please help and no I cannot show a picture of it. 5+5×0+5

Answers

Answer:

Solving the expression gives;

[tex]5+5\times0+5=10[/tex]

Explanation:

Given the expression;

[tex]5+5\times0+5[/tex]

Applying the rule of BODMAS or PEMDAS;

multiplication comes first;

[tex]\begin{gathered} 5+5\times0+5 \\ 5+0+5 \end{gathered}[/tex]

Then we can do the addition;

[tex]\begin{gathered} 5+0+5 \\ =5+5 \\ =10 \end{gathered}[/tex]

Therefore, solving the expression gives;

[tex]5+5\times0+5=10[/tex]

b. Solve the system of linear equations y = x + 2 and y = 3x – 4 by graphing.

Answers

To find the solution we need to graph both lines on the plane. To do this we need to find two points for each line.

First we graph the line y=x+2. To find a point we give x a value, whichever value we like, and then find y.

Let x=0, then:

[tex]\begin{gathered} y=0+2 \\ y=2 \end{gathered}[/tex]

Then we have the point (0,2).

Let x=1, then:

[tex]\begin{gathered} y=1+2 \\ y=3 \end{gathered}[/tex]

Then we have the point (1,3).

Then we plot this points in the plane and join them with a line:

Now let's plot eh second line, y=3x-4.

Let x=0, then:

[tex]\begin{gathered} y=3(0)-4 \\ y=-4 \end{gathered}[/tex]

So we have the points (0,-4).

Let x=1, then:

[tex]\begin{gathered} y=3(1)-4 \\ y=3-4 \\ y=-1 \end{gathered}[/tex]

so we have the point (1,-1).

Now we plot this points and join them with a line:

Once we have both lines graph in the plane the solution is the intersection of the lines. Looking at the graph we conclude that the solution of the system is x=3 and y=5.

How many ways can Rudy choose 4 pizza toppings from a menu of 16 toppings if each can only be chosen once

Answers

ANSWER:

1820 different ways

STEP-BY-STEP EXPLANATION:

We can use here combination rule for selection:

[tex]_nC_r=\frac{n!}{r!(n-r)!}[/tex]

In this case n is equal to 16 and r is equal to 4, therefore, replacing and calculating the number in different ways, there:

[tex]\begin{gathered} _{16}C_4=\frac{16!}{4!(16-4)!}=\frac{16!}{4!\cdot12!} \\ \\ _{16}C_4=1820 \end{gathered}[/tex]

So in total there are 1820 different ways Rudy can choose 4 pizza toppings.

Maria used a hundred chart to find a sum. She started at 57 then she moved down 3 rows and back 2 spaces which number did she land on

Answers

She landed on the number 25 on the hundred chart.

What is an 100 chart?

It consists of the numbers to 100 in sequential order, with ten numbers per row across ten rows.

We are given that she was on 57th number

Then she moved down 3 rows

Each row contains 10 elements Hence we subtract 30 for 3 rows

57-30=27

Then also she took 2 steps back

Hence we again subtract 2 from 27

We get 27-2=25

Hence she is at 25th number

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Challenge A family wants to rent a car to go on vacation. Company A charges $75.50 and14¢ per mile. Company B charges $30.50 and 9¢ per mile. How much more does Company Acharge for x miles than Company B?For x miles, Company A charges dollars more than Company B.(Simplify your answer. Use integers or decimals for any numbers in the expression.)

Answers

Company A charges $75.50 and 14¢ per mile, then for x miles, Company A charges 75.5 + 0.14x dollars

Company B charges $30.50 and 9¢ per mile, then for x miles, Company B charges 30.5 + 0.09x dollars

Subtracting the second equation to the first one,

75.5 + 0.14x

-

30.5 + 0.09x

----------------------

45 + 0.05x

For x miles, Company A charges 45 + 0.05x dollars more than Company B.

A bookshelf holds 5 novels, 4 reference books, 3 magazines, and 2 instruction manuals.

Teacher example 1: In how many ways can you choose one reference book or one instructional manual?

# of reference books + # of instructional manual - # of options that are both 4 + 2 Ways to choose a reference book OR an instruction manual?

You try: In how many ways can you choose a magazine or a reference book? # of magazine + # of reference book - # of options that are both mag and reference book

Ways to choose a magazine or a reference book?

This is so confusing to me. any help would be amazing, 100 points!! help as soon as possible​

Answers

We can choose one reference book or one instructional manual from the bookshelf in 48 different ways.

Given,

Number of novels = 5

Number of reference books = 4

Number of magazines = 3

Number of instruction manuals = 2

Total number of books = 5 + 4 + 3 + 2 = 14 books

We have to find the number of ways of choosing one reference book or one instructional manual.

Number of ways = 4! x 2!

Number of ways = 24 x 2

Number of ways = 48

That is,

We can choose one reference book or one instructional manual from the bookshelf in 48 different ways.

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A triangle has two sides of length 13 and 17. What is the largest possible whole numberlength for the third side?

Answers

Given two sides of a triangle, x, and z, such that

[tex]x\le z[/tex]

then the third side y must satisfy the following condition

[tex]z-xIn our case,

x =13, and z = 17

Then, the third side y

lies in

17-13 < x < 17 +13

4 < x < 30

Hence the largest possible whole number of the third side is 29

A decorator creates a scale drawing of a dinning room table. The length of the scale is 3 centimeters. The image represents the dimensions of the actual dinning room table. What is the area of the scale drawing?

Answers

From the image given, the dinning room table is a rectangle.

Given:

Length in inches = 90 inches

Width in inches = 45 inches

The scale of the length is 3 centimeters.

Now, let's find the scale of the table:

[tex]\frac{90}{3}=30\text{inches}[/tex]

This means that 30 inches represents 1 centimeter.

Also, let's find the width in centimeters:

[tex]\frac{45}{30}=1.5\operatorname{cm}[/tex]

Thus, we have:

Length of scale drawing = 3 cm

Width of scale = 1.5 cm

To find the Area of the scale drawing, use the area of a rectangle:

A = Length x Width

[tex]A=3\times1.5=4.5\operatorname{cm}^2[/tex]

Therefore, the length of the scale drwing is = 4.5 cm²

ANSWER:

[tex]4.5\operatorname{cm}^2[/tex]

Mr. Baker wants to divide his class into smaller, equal-sized groups of students.
However, he finds that his class cannot be divided evenly into any size group except for individual groups of 1.

Complete the statements below about the number of students in Mr. Baker's class.

Answers

The completion of the statements about the number of students in Mr. Baker's class is as follows:

The number of students in his class must be a prime number.The quotient from the division of the students into equal-sized groups is not even because there must be a remainder.

What is a prime number?

A prime number is a number divisible by itself and 1 only.

When a prime number is divided by another number except by itself and 1, there is always a remainder in the quotient.

Some examples of the prime numbers in Mr. Baker's class include 19, 23, 29, 31, or 37 students.

Thus, these numbers of students cannot be divided by another number without a remainder because they are prime numbers.

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Question Completion:

1. The number of students in his class must be a --- number.

2. The quotient from the division of the students into equal-sized groups is .... because there must be a .....

I need help with homework . BC=5, angle A=25 degree.

Answers

AC = 2.332

AB = 5.517

Explanation:

Given:

BC = 5.

Angle B = 25 degree.

Angle C = 90 degree.

The objective is to find AC and AB.

By the trigonometric functions, Consider AB as hypotenuse, AC as opposite and BC as adjacent.

Then, the relationship between opposite (AC) and adjacent (BC) cnbe calculated by trigonometric ratio of tan theta.

[tex]\begin{gathered} \tan \theta=\frac{opposite}{adjacent} \\ \tan 25^0=\frac{AC}{5} \\ AC=\tan 25^0\cdot5 \\ AC=2.332 \end{gathered}[/tex]

Now, the length AB can be calculated by Pythagorean theorem,

[tex]\begin{gathered} AB^2=AC^2+BC^2 \\ AB^2=2.332^2+5^2 \\ AB^2=5.436+25 \\ AB^2=30.436 \\ AB=\sqrt[]{30.436} \\ AB=5.517 \end{gathered}[/tex]

Let's check the value using trigonometric ratios.

For the relationship of opposite and hypotenuse use sin theta.

[tex]\begin{gathered} \sin \theta=\frac{opposite}{hypotenuse} \\ \sin 25^0=\frac{2.332}{y} \\ y=\frac{2.332}{\sin 25^0} \\ y=5.517 \end{gathered}[/tex]

Thus both the answers are matched.

Hence, the length of the side AC = 2.332 and the length of the side AB = 5.517.

In Exercises 25–26, the domain of each piecewise function is (-⬁,⬁). a. Graph each function. b. Use the graph to determine the function’s range.

Answers

We have to graph this piecewise function.

It will be two horizontal lines that change when x = -1: to the left it will be y = 5, as x ≤ 1, and to the right, it will be y = -3.

We can see it graphed as:

b) The range is the set of values that f(x) takes for the domain for which it is defined.

We can see that f(x) only takes two values: y = -3 and y = 5, so the set {-3,5} is the range of f(x).

Answer:

a) Graph

b) Range = {-3, 5}

word problems 1. Jackson spent $4.65 on popcorn and $2.83 on a soda while at the movies. How much more money did Jackson spend on popcorn than on soda? Jackson spent $ # # # more on popcorn than soda,

Answers

Find out the difference

so

(4.65-2.83)=$1.82

therefore

the answer is $1.82

Need to find the domain, range, x-intercept, y-intercept, and rate of change from the graph

Answers

Explanation

Step 1

Domain:The domain of a function is the complete set of possible values of the independent variable, by the graph is it a continuous line, so the domain is

[tex](-\infty,\infty),[/tex]

Step 2

Range:The range is the set of all second elements of ordered pairs (y-coordinates), by the graph is it a continuous line, so the range is

[tex](-\infty,\infty),[/tex]

Step 3

x-intercept

it is when y= 0 , by the graph :

[tex](-2,0)[/tex]

Step 4

y-intercept

it is when x= 0 m by the graph:

[tex](0,4)[/tex]

Step 5

rate of change

Let

P1(-2,0) P2(0,4)

[tex]\begin{gathered} rate\text{ of change=}\frac{y_2-y_1}{x_2-x_1}=\frac{4-0}{0-(-2)}=\frac{4}{2}=2 \\ \end{gathered}[/tex]

rate of change:2

How many degrees was ABCDE rotated? (submit your answer as a number)

Answers

If a figure has a vertex, (x, y) and it is rotated 180 degrees counterclockwise, the corresponding vertex of the new image would have a coordinate of (- x, - y)

Looking at the given figure, we would compare the corresponding coordinates of a given vertex. Looking at vertex A,

For the original figure, the coordinate is (1, 3)

For the ratated figure, the coordinate of A' is (- 1, - 3)

This corresponds to what was we stated earlier

Thus, it was rotated 180 degrees in the counterclockwise direction

please help me and answer quick because my brainly keeps crashing before i can see the answer

Answers

The surface area of a sphere is given by the formula

[tex]SA=4*pi*r^2[/tex]

we have

r=24/2=12 ft ----> the radius is half the diameter

substitute

[tex]\begin{gathered} SA=4*pi*12^2 \\ SA=576pi\text{ ft}^2 \end{gathered}[/tex]

find the area of each. use your calculator's value of pi. round your answer to the nearest tenth.

Answers

We are asked to find the area of the given circle.

Recall that the area of a circle is given by

[tex]A=\pi r^2[/tex]

Where π is a constant and r is the radius of the circle.

From the figure, we see that the diameter is 22 km

Recall that the radius is half of the diameter.

So, the radius of the circle is

[tex]r=\frac{D}{2}=\frac{22}{2}=11\: km[/tex]

So, the area of the circle is

[tex]A=\pi r^2=\pi(11)^2=\pi\cdot121=380.1\: km^2[/tex]

Therefore, the area of the circle is 380.1 square km (rounded to the nearest tenth)

For the rotation 707°, find the coterminal angle from 0° ≤ 0 < 360°, thequadrant and the reference angle

Answers

Explanation

We are required to determine the coterminal, quadrant and reference angle of 707°.

This can be achieved as:

Therefore, the reference angle can be gotten as:

[tex]720\degree-707\degree=13\degree[/tex]

Hence, the reference angle is 13°.

The angle lies in the fourth quadrant.

The cotermi

fine one value of x for which f(x) = 4 and find f(0)look at the graph below

Answers

To find the value of x for which f(x) = 4 we must find the point (x, 4), first, let's draw a horizontal line at y = 4:

As we can see the horizontal line touches the graph, then it touches the graph we draw a vertical line until we reach the x-axis, where we reach it, it's the value of x:

As we can see, the vertical line reaches x = -4, therefore, f(-4) = 4

[tex]f(-4)=4[/tex]

Our final answer will be x = -4

b)

Now for f(0) = ?, we must do the same logic, but now we start with a vertical line at x = 0, and goes up until we reach the graph

As we can see it touches the graphic at y = 2, hence, f(0) = 2

[tex]f(0)=2[/tex]

To find the value of x for which f(x) = 4 we must find the point (x, 4), first, let's draw a horizontal line at y = 4:

As we can see the horizontal line touches the graph, then it touches the graph we draw a vertical line until we reach the x-axis, where we reach it, it's the value of x:

As we can see, the vertical line reaches x = -4, therefore, f(-4) = 4

[tex]f(-4)=4[/tex]

Our final answer will be x = -4

b)

Now for f(0) = ?, we must do the same logic, but now we start with a vertical line at x = 0, and goes up until we reach the graph

As we can see it touches the graphic at y = 2, hence, f(0) = 2

[tex]f(0)=2[/tex]

Mrs. Smith stores water in different size bottles. she has 4 containers that are 2 1/2 quarts each and 3 containers that are 425 cups each. how many fluid ounces of water does she have?

Answers

Answer:

The total volume of fluid ounces of water she have is;

[tex]422\text{ ounces}[/tex]

Explanation:

Given that she has 4 containers that are 2 1/2 quarts each

[tex]\begin{gathered} V_1=4\times2\frac{1}{2}\text{ quarts} \\ V_1=10\text{ quarts} \end{gathered}[/tex]

Recall that to convert quarts to ounce;

[tex]1\text{ quart }=32\text{ ounces}[/tex][tex]\begin{gathered} V_1=10\text{ quarts }=10\times32\text{ ounces} \\ V_1=320\text{ ounces} \end{gathered}[/tex]

Also, she has 3 containers that are 4.25 cups each;

[tex]\begin{gathered} V_2=3\times4.25\text{ cups} \\ V_2=12.75\text{ cups} \end{gathered}[/tex]

To convert cups to ounces;

[tex]1\text{ cup}=8\text{ ounces}[/tex]

So;

[tex]\begin{gathered} V_2=12.75\text{ cups }=12.75\times8\text{ ounces} \\ V_2=102\text{ ounces} \end{gathered}[/tex]

The total volume of fluid ounces of water she have is;

[tex]V=V_1+V_2[/tex]

substituting the values;

[tex]\begin{gathered} V=320+102\text{ ounces} \\ V=422\text{ ounces} \end{gathered}[/tex]

Therefore, the total volume of fluid ounces of water she have is;

[tex]422\text{ ounces}[/tex]

? Question
Rachel and Jeffery are both opening savings accounts. Rachel deposits $1,500 in a savings account that earns 1.5% interest,
compounded annually. Jeffery deposits $1,200 in a savings account that earns 1% interest per year, compounded
continuously.
If y represents the account balance after t years, which two equations form the system that best models this situation?

Answers

For the conditions stated, y=1500+2250t and y=1200+1200t, respectively, will be necessary equations because both Rachel and Jeffery are opening savings accounts. Rachel places $1,500 in a savings account that accrues annual compound interest of 1.5%. Jeffery places $1,200 in a savings account that accrues continuously compounded interest of 1% per year.

What is equation?

A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.

Here,

according to given condition,

y=1500+1500*1.5t

y=1500+2250t

y=1200+1200*1t

y=1200+1200t

So the required equation will be y=1500+2250t and y=1200+1200t for the conditions given as Rachel and Jeffery are both opening savings accounts. Rachel deposits $1,500 in a savings account that earns 1.5% interest, compounded annually. Jeffery deposits $1,200 in a savings account that earns 1% interest per year, compounded continuously.

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Need help ASAP Which graph shows the asymptotes of the function f(x)= 4x-8 _____ 2x+3

Answers

First we will calculate the vertical asymptote, is when the denominator of the function given is equal to zero

[tex]\begin{gathered} 2x+3=0 \\ x=-\frac{3}{2} \end{gathered}[/tex]

then we will calculate the horizontal asymptote because the degree of the numerator and the denominator is equal we can calculate the horizontal asymptote with the next operation

[tex]y=\frac{a}{b}[/tex]

a= the coefficient of the leading term of the numerator

b=the coefficient of the leading term of the denomintor

in our case

a=4

b=2

[tex]y=\frac{4}{2}=2[/tex][tex]y=2[/tex]

As we can see the graph that shown the asymptotes of the function is the graph in the option C.

If the cube root of D is equal to 4 , what is D equal to ?

Answers

Given:

The cube root of D = 4

so, we can write the following expression:

[tex]\sqrt[3]{D}=4[/tex]

cube both sides to find d

So,

[tex]\begin{gathered} (\sqrt[3]{D})^3=4^3 \\ D=4\times4\times4 \\ \\ D=64 \end{gathered}[/tex]

So, the answer will be D = 64

Other Questions
based on the reconstructed temperatures you saw and changes in solar irradiance and co2 concentrations over the past millennium, what century do you expect to have the largest simulated temperatures from the gcms? The first three terms of a sequence are given. Round to the nearest thousandth (ifnecessary).15, 18, 108/5. find the 8th term rewrite using a single exponent. 9 4, 9 4 If 1. 00 kg of zn reacted with excess sulfur, how much energy would be released?. Which statement best summarizes the central idea of the text?Where there are no expectations, there is no disappointment.Life does not always go according to plan, but sometimes change leads to new opportunities.Life is too unpredictable to make plans, so it is better to always live in the moment. The best parts of life come from misfortune, so one should appreciate every obstacle.Part BWhich line from the text best supports the analysis in Part A?"But theres no doubt that some misfortunes turn into pivotal moments that can alter the course of a persons life for the better.""Alma and I have been together for 30 years now, and I still wonder what that other lifethe one in which my letter said 'congratulations'might look like.""At lunch, Alma sat across from me, even though by then several other regular volunteers had arrived and offered to take her out for real food rather than subjecting her to the cafeteria fare.""'You must really love what you do here,' she said. 'I can tell you care about this place and the patients we visited.'" If the 10 letters are {aa,aa,aa,aa,bb,bb,cc,cc RR,RR} are available and all 10 of them are to be selected without replacement,what is the number of different permutations? Kyle just graduated from college and got his first job, he has $45,000 in student loan debt, wants to buya new car, and is considering opening up a retirement account. He has a disposable income of$300/month, what would you recommend he do with this money? Why? Periodic Deposit: $? at the end of each monthRate: 7.5% compounded monthlyTime: 3 yearsFinancial Goal: $35,000O A. $2,628; $31,536 from deposits and $3,464 from interestB. $776; $27,936 from deposits and $7,064 from interestO c. $933; $33,588 from deposits and $1,412 from interestOD. $870; $31,320 from deposits and $3,680 from interest 7.0 J of work is done to draw a bowstring back. The bow launches an arrow with a mass of 0.09 kg straight upward.(a) What is the arrow's kinetic energy as it leaves the bow? (Round your answer to one decimal place.)J(b) What is the arrow's speed? (Round your answer to one decimal place.)m/s(c) What maximum height does the arrow reach? (Round your answer to one decimal place.)m Suppose that the probability that you will win a contest is 0.0002, what is theprobability that you will not win the contest? Leave your answer as a decimal and donot round or estimate your answer. How would a forensic scientist MOST accurately describe the chemical properties of a cup of gasoline?OA. It is liquid and weighs two pounds.OB.It catches fires when lit with a match.OC. It is slightly brownish in color.OD. It is not very dense. which formation is the resPart BWhich evidence from the text best supports the answer to Part A?Responses"The initiation part of the journey begins as the hero enters unfamiliar territory.""The initiation part of the journey begins as the hero enters unfamiliar territory.""Another filmmaker, Christopher Vogler, wrote a summary of Campbells The Hero with a Thousand Faces.""Another filmmaker, Christopher Vogler, wrote a summary of Campbells , The Hero with a Thousand Faces, .""The monomyth follows the path of a heros journey, and it exists in myths, legends, folktales, and legends from across the globe.""The monomyth follows the path of a heros journey, and it exists in myths, legends, folktales, and legends from across the globe.""Writers study Campbells work and use the heros journey structure to create stories with meaning that appeal to a wide range of audiences."ult of wind erosion? 4. Driving on the highway, you can safely drive 65 miles per hour. How far can you drive in h hours? What is the domain of the function which defines this situation?A) 65B) the number of hours you driveC) the distance you driveD)the amount of gas you use In the triangle below, if B = 69, A = 32, c = 5.7, use the Law of Sines to find a. Round your answer to the nearest hundredth. On what platform can customers create 5 user profiles, set up parental controls, simultaneously stream on 4 devices, and download movies and series on the go?. a company purchases a truck and records the cost in an asset account. that cost is gradually moved into an expense account as the truck benefits the company over several accounting periods. this process is referred to as Which statement is TRUE aboutShays' Rebellion? Scientists are conducting an experiment with a gas in a sealed container. The mass of the gas is measured and the scientists realize that the gas is leaking over time in a linear way. Eight minutes since the experiment started the gas had a mass of 302.4 grams. Seventeen minutes since the experiment started the gas had a mass of 226.8 gramsLet x be the number of minutes that have passed since the experiment started and let y be the mass of the gas in grams at that moment. Use a linear equation to model the weight of the gas over time.a) This lines slope-intercept equation is [ ] b) 39 minutes after the experiment started, there would be [ ] grams of gas left. c) if a linear model continues to be accurate, [ ] minutes since the experiment started all gas in the container will be gone. 5.What is the area of the triangle?Include the unit of measurein your answer.::::: tom has a rectangular prism - shaped suitcase that measures 9 inches by 9 inches by 24 inches. he needs a second suitcase that has the same volume but smaller surface than his current suitcase. which suitcase size would fit Toms needs