Answers
Please, see the attached file.
Thanks.
Related Questions
The point (1, 4) is on the terminal side of angle Θ, in standard position. What are the values of sine, cosine, and tangent of Θ? Make sure to show all work. (10 points)
Answers
we know that
cos ∅=adjacent side angle ∅/hypotenuse
sin ∅=opposite side angle ∅/hypotenuse
tan ∅=opposite side/adjacent side
in this problem
adjacent side angle ∅=1 units
opposite side angle ∅=4 units
find the hypotenuse
applying the Pythagorean theorem
hypotenuse²=adjacent side²+opposite side²
hypotenuse=√[1²+4²]--------> √17
then
cos ∅=1/√17--------> cos ∅=√17/17
sin ∅=4/√17-----> sin ∅=4√17/17
tan ∅=4/1-------> tan ∅=4
Find the area of this shape
Answers
area for the rectangle is L x w = 9 * 3.2 = 28.8
area of triangle = 1/2 x b x h = 1/2 x 11 x 9 = 49.5
total area = 28.8 + 49.5 = 78.3 square m
What equation represents the asymptote of g(x)=e^x+4?
Answers
Final answer:
The horizontal asymptote of the function g(x) = e^x + 4 is the line y = 4.
Explanation:
The question asks about the asymptote of the function g(x) = e^x + 4. An asymptote is a line that a graph approaches but never touches. To find the horizontal asymptote of this function, observe that as x approaches positive or negative infinity, the term e^x either grows very large or approaches zero. Therefore, the term +4 determines the horizontal asymptote since it shifts the entire graph of e^x up by 4 units. Thus, the horizontal asymptote is the line y = 4, which means the function approaches this line but never reaches it for x tending toward positive or negative infinity.
Recycled newspaper sells for $5.00 for 1 ton. The United States recycled 6.6 million tons of newspaper during 1991. Use the distributive property to find how much money was made from the sale of recycled newspapers in 1991.
Answers
Answer:
$33,000,000
Step-by-step explanation:
Recycled newspaper sells for $5.00 for 1 ton.
Let x ton be the amount recycled in 1991 by U.S.
so to represented this situation expression will be F(x) = 5 x
Now we replace x = 6.6 million tons
≈ 6.6 × [tex]10^{6}[/tex] tons
Total money made by recycling 6.6 × [tex]10^{6}[/tex] tons
= 5 × 6,600,000
= $33,000,000
In 1991 U.S. made $33,000,000 from the sale of recycled newspapers.
Which of the following equations is non-linear?
A. 5x + 1 = -4x + y
B. y - 2 = 3x + |-2|
C. x + 4y = 2y + 15 - x
D. y + 10y - 3 = 2|x| - 4y
Answers
A line that has the absolute value of a variable is not linear
The answer is D) y + 10y - 3 = 2/x/ - 4y
Hope this helps!
The daily energy requirement, E (kilojoules), for a person of mass m ( kilograms) is calculated using the rule E=9m+8100
For Gavin, E= 8865
What is Gavin’s mass
Answers
E = 9m + 8100
Substituting E = 8865 we have:
8865 = 9m + 8100
Clearing m we have:
9m = 8865-8100
m = (8865-8100) / (9)
m = (765) / (9)
m = 85 Kg
Answer:
Gavin's mass is:
m = 85 Kg
How much would it be to get 67.1 to 73.3?
Answers
Jimmy owns a small engine repair business. The revenue, in dollars, can be modeled by the equation y = 420 + 72x, where x is the number of hours spent repairing small engines. The overhead cost, in dollars, can be modeled by the equation y = 24x² + 180 where x is the number of hours spent repairing bikes.
After about how many hours does the company break even?
Note: The phrase break even refers to the value where the two functions are equivalent.
1 h
5 h
2 h
10 h
Answers
y₂ = 24x² + 180
y₁ = y₂
∴ 420 + 72x = 24x² +180
∴ 24x² - 72x - 240 = 0
∴ x² - 3x -10 = 0
∴ ( x + 2)( x - 5 ) = 0
∴ x = -2 (Unacceptable) OR x = 5
∴ The correct answer is the second ⇒⇒⇒⇒⇒ 5h
A bag contains 10 red marbles, 5 gray marbles, 12 black marbles, and 8 white marbles. Two marbles are randomly drawn from the bag without replacement. What is the probability of drawing a black marble followed by a red marble?
Answers
first event 12/35 times second event 10/34
12/119
Answer: first event 12/35 times second event 10/34
12/119
Which number is irrational? A. Syntax error from line 1 column 53 to line 1 column 60. Unexpected '0'. B. 1 over 9 C. square root of 12 D. fraction numerator square root of 64 over denominator square root of 4 end fraction
Answers
(SPANISH) NEED HELP 100 POINTS I WILL MARK BRAINLIEST AND SAY THANK YOU SERIOUS ANSWERS ONLY
Create a public service announcement in Spanish on severe weather procedures to encourage the community to be prepared. Use the graphic organizer to help organize your ideas and to write the vocabulary that you need to create your public service announcement. Refer to pages 1, 2 and 3 of the lesson area for terms and ideas to help you fill out the organizer and, ultimately, create your PSA.
This announcement can be a flyer, a radio message, or a TV message.
You can select the severe weather event that is approaching or imminent.
Describe the severe weather event and tell the community how to protect themselves before, during, or after the weather event.
Include at least 10 ideas related to the severe weather event and the procedures to get prepared
Answers
El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.
El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima.
El cambio climático ha empeorado en los últimos años, la razón principal es la contaminación excesiva tanto del aire, del agua, del suelo y muchas otras cosas.
Todos debemos tomar conciencia del daño que estamos ocasionando con la contaminación excesiva. El cambio climático nos ha traído grandes problemas por no actuar con responsabilidad en el cuidado del medio ambiente. Si no tomamos conciencia de lo que estamos perjudicando, en un tiempo más adelante habrá consecuencias negativas peores de las que ya hay.
El cambio climático no se da de forma negativa por sí solo, somos nosotros los que estamos perjudicándolo con la contaminación.
deberiamos de Cuidar la planeta para que no haya tanto exceso de contaminación y así evitar cambios drásticos en el clima
Read more on Brainly.com - https://brainly.com/question/10109035#readmore
In a kitchen there are three containers that can hold different quantities of water, as shown in the figure below: Three containers of the same shape but different sizes are shown, arranged from the shortest to the longest. The following quantities are written below the containers. x minus 1 liters below the first, x liters below the second, and x plus 1 liters below the third. How many liters of water can the three containers hold in all?
Answers
We are adding the expressions:
(x-1)+x+(x+1)
We can combine the x terms together:
3x-1+1
Combine the -1 and +1:
3x+0
3x
Answer:
It's A 3x
Step-by-step explanation:
I just did the test it's 3x hope this helped. :)
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, which of these expressions represents the value of the most money she can borrow?
Answers
The correct option is A.
Vanessa can borrow approximately $6255.57, represented by option A: [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex].
To determine the value of the most money Vanessa can borrow with a monthly payment of $1405 for a 20-year house loan with an APR of 4.8%, compounded monthly, we can use the formula for the monthly payment of a mortgage:
[tex]\[P = \frac{M}{\frac{r}{12} \left(1 - \left(1 + \frac{r}{12}\right)^{-nt}\right)}\][/tex]
Where:
P = Principal amount (the amount she can borrow)
M = Monthly payment ($1405)
r = Monthly interest rate (APR divided by 12, or 0.048/12)
n = Number of times the interest is compounded per year (12 for monthly)
t = Number of years (20)
Now, let's plug in the values and solve for P:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-12*20}\right)}\][/tex]
Let's calculate the exponent and simplify:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1 + \frac{0.004}{12}\right)^{-240}\right)}\][/tex]
Now, we can simplify the monthly interest rate:
[tex]\[P = \frac{1405}{\frac{0.004}{12} \left(1 - \left(1.000333333\right)^{-240}\right)}\][/tex]
[tex]\[P = \frac{1405}{0.333333 \left(1 - 0.328624967\right)}\][/tex]
Now, let's calculate the value inside the parentheses:
[tex]\[P = \frac{1405}{0.333333 \times 0.671375033}\][/tex]
[tex]\[P \approx \frac{1405}{0.22487499}\][/tex]
Now, calculate P:
P ≈ 6255.57
So, Vanessa can borrow approximately $6255.57.
The correct expression that represents the value of the most money she can borrow is:
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
The complete question is here:
Vanessa can afford a [tex]$\$ 1405$[/tex]-per-month house loan payment. If she is being offered a 20-year house loan with an APR of [tex]$4.8 \%$[/tex], compounded monthly, which of these expressions represents the value of the most money she can borrow?
A. [tex]$\frac{(\$ 1405)\left((1+0.004)^{240}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
B. [tex]$\frac{(\$ 1405)\left((1-0.048)^{240}-1\right.}{(0.048)(1+0.048)^{249}}$[/tex]
C. [tex]$\frac{(\$ 1405)\left((1-0.004)^{200}-1\right)}{(0.004)(1+0.004)^{240}}$[/tex]
D. [tex]$\frac{(51405)\left((1+0.048)^{200}-1\right)}{(0.048)(1+0.048)^{240}}$[/tex].
Using the formula for monthly loan payment, we find Vanessa can borrow up to $220,000 with a 20-year loan at 4.8% APR.
To find the maximum amount Vanessa can borrow, we can use the formula for the monthly payment of a loan:
[tex]\[ P = \frac{A \times r}{1 - (1 + r)^{-n}} \][/tex]
Where:
- P = monthly payment
- A = loan amount (the value we want to find)
- r = monthly interest rate (APR divided by 12)
- n = total number of payments (number of years multiplied by 12)
Given:
- Monthly payment ( P) = $1405
- APR ( r ) = 4.8% = 0.048
- Loan term = 20 years
First, we calculate r :
[tex]\[ r = \frac{4.8}{100 \times 12} = 0.004 \][/tex]
Then, calculate n:
[tex]\[ n = 20 \times 12 = 240 \][/tex]
Now, plug the values into the formula and solve for A:
[tex]\[ 1405 = \frac{A \times 0.004}{1 - (1 + 0.004)^{-240}} \][/tex]
Solve for A:
[tex]\[ A = \frac{1405 \times (1 - (1 + 0.004)^{-240})}{0.004} \][/tex]
[tex]\[ A \approx \$220,000 \][/tex]
So, Vanessa can borrow a maximum of $220,000.
The question probable maybe:
Vanessa can afford a $1405-per-month house loan payment. If she is being offered a 20-year house loan with an APR of 4.8%, compounded monthly, What is the value of the most money she can borrow?
Suppose a map company wants to produce a globe with a surface area of 450 in2. use the formulaa equals 4 πr squared , where a is the surface area and r is the radius of the sphere. to the nearest tenth, what is the radius of the sphere? inches
Answers
[surface area of a sphere]=4*pi*r²
r²=surface area/(4*pi)
r=√[surface area/(4*pi)]
surface area=450 in²
r=√[450/(4*pi)]------> r=5.98 in------------> r=6 in
the answer is
r=6 in
Last week Jackson read 262.5 pages of a new adventure book. If he read for 5.25 hours how many pages did Jackson read per hour?
Answers
Answer: 50 pages per Hour
Step-by-step explanation:
if Andy's home is worth 260,000, what is his coverage for personal property if insurance covers 50 percent?
Answers
Answer:
Amount covered by insurance = 130000
Step-by-step explanation:
Cost of Andy's home = 260000
Percentage covered by insurance = 50%
Amount covered by insurance = 50% of Cost of Andy's home
= 50% of 260000
= 0.50 * 260000 [50% written as a decimal is 0.50]
= 130000
The following data needs to be put into a stem-and-leaf plot.36.7, 38.1, 35.4, 37.4, 39.0, 33.6, 34.7, 36.9, 38.7, 35.5, 36.8, 33.7, 34.8, 39.7, 37.2, 36.8Which list shows all the stems needed to accurately create a stem-and-leaf plot?1. 32. 3, 4, 5, 6, 7, 8, 93. 0, 1, 2, 4, 5, 6, 7, 8, 94. 33, 34, 35, 36, 37, 38, 39
Answers
With the numbers given, you should use the whole number as the stem and the decimal as the leaf.
The whole numbers are 33,34,35,36,37,38,39
Answer:
The last one. Which is choice D.
A 10ft pole is to be erected and held in the ground by four wires attached at the top. The guy wires are attached to the ground at a distance of 15 ft from the base poke. What is the exact length of each guy wire? how much wire should be purchased if it cannot be purchased in franctions of foot
Answers
Legs = 10 ft and 15 ft.
The length of guys wire = Sqrt (10^2+15^2) = [tex]5 \sqrt{13} [/tex] ≈18.03 ft
A total of 4 guy wires.
Te total length required = 4*[tex] 5\sqrt{13} [/tex] ≈ 72.11 ft.
Since wire cannot be bought in fractions of foot, the length is rounded to the next whole number. That is,
Length required = 73 ft.
How do I do this one ?
Answers
Explnation:
Since all the equations are parabolas, to find which one has a maximum at (9,7) you must verify two conditons:
1) the parabola opens downwards, and
2) the vertex is (9,7)
The first condtion means that the coefficient of the quadratic term is negative.
All the equations given meet that condition.
Therefore you have to find the vertex.
The vertex of a parabola is at the point where x = - b /(2a)
So, prove one by one.
Equation b a x = -b/(2a)
-x² -18x - 88 -18 -1 - 9 ⇒ not our equation (we aim to x = 9)
(jump to the last option)
-x² + 18x - 74 18 -1 9 ⇒ y = - (9)² + 18(9) - 74 = -81+162-74=7
Therefore, the last equation is the one.
A bacteria culture starts with 150 bacteria and after 4 hours the population consists of 250 bacteria.what is the rate of the increase to the nearest percent?
a.11%
b.13%
c.15%
d.17%
Answers
A = Pe^(rt)
250=150e^(4t)
250/150=e^(4t)
In(250/150)=4t
t=In(250/150)/4=.1277or .13*100%=13%
The rate of increase of the bacteria population is found by calculating the population increase (final amount - initial amount), dividing by the initial amount, and multiplying by 100 to get the percentage. The calculated value is 66.66%, which doesn't match with any of the provided options.
Explanation:The subject of this question is bacterial population growth, which falls under the mathematics category, specifically in the section known as growth rates. To find the rate of increase of the bacteria population, first, we have to find the increase in the population amount, which is the final amount (250 bacteria) minus the initial amount (150 bacteria). This gives us an increase of 100 bacteria.
Next, divide this increase (100) by the initial amount (150 bacteria) and multiply by 100 to convert it to a percentage. This gives the formula (250-150)/150*100 = 66.66%. But among the provided choices, we don't have this exact value, which implies that there might be a miscommunication or typographical error in the question.
Learn more about Bacterial Population Growth here:https://brainly.com/question/14992076
#SPJ2
A quadrilateral has angle measures of 84°, 107°, and 58°.
What is the measure of the fourth angle?
Enter your answer in the box.
Answers
The angles in a quadrilateral add to 360°
Subtract the known angles from 360 to get the missing angle
360 - 84 - 107 - 58 = 111
The answer is 111°
Hope this helps!
what is the slope of a line perpendicular to the line represented by the equation x=2y+3?
Answers
To begin, we need to find the slope of the equation x = 2y + 3. The easiest way to find the slope is to put this equation into slope-intercept form, y=mx+b, where the variable m represents the slope. To do this, we must get the variable y alone on the left side of the equation. First, we subtract 2y from both sides.
x = 2y + 3
-2y + x = 3
Next, we subtract x from both sides.
-2y = -x + 3
Finally, we divide both sides by -2 (there cannot be a coefficient on the variable y in this form).
y = 1/2x + 3
Therefore, the slope of this equation is 1/2. However, we are looking for the slope of a line that is perpendicular to this one. This means that it creates four 90 degree angles where the lines cross, and it has the opposite reciprocal slope.
The opposite reciprocal of 1/2 is -2 (you take the opposite in this case by changing the value from positive to negative, and take the reciprocal by switching the numerator and the denominator).
Thus, your answer is -2.
Hope this helps!
The slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
Explanation:The equation given is x = 2y + 3. To find the slope of a line perpendicular to this line, we need to determine the slope of the given line. The given equation is not in slope-intercept form, which is y = mx + b, where m represents the slope. So, we can rewrite the equation in slope-intercept form by rearranging it as 2y = x - 3 and then dividing both sides by 2, giving us y = (1/2)x - (3/2).
The slope of the line represented by this equation is 1/2. To find the slope of a line perpendicular to this line, we take the negative reciprocal of the slope of the given line. The negative reciprocal of 1/2 is -2. So, the slope of a line perpendicular to the line represented by the equation x = 2y + 3 is -2.
A line with a slope of -2 will have a steepness that is twice as steep as the line represented by the equation x = 2y + 3.
Please help me!! Thankyou!!
Answers
What is the linear function that best fits the data set?
Answers
Please, see the attached file.
Thanks.
A Ladder that is 32 ft long leans against a building. The angle of elevation of the ladder is 70 degrees. To the nearest tenth of a foot how high off the ground is the top of the ladder?
A. 20.3 ft
B. 10.9 ft
C. 26.2 ft
D. 39.1 ft
Answers
sin θ=opposite/ hypotenuse
from the information given:
from angle of elevation we shall have θ=90-70=20°
hypotenuse=length of the ladder=32 ft
opposite,x= distance off the ground
thus plugging the values in the formula we get:
sin 20=x/32
thus
x=32 sin 20
x=10.94465 ft
x~10.9 ft
the correct answer should be 30.1 ft
A book shelf is 14 inches wide there is enough space to fit 2 trophies one trophy is 2inches wider than the other how wide is the wider trophy
Answers
Please help!!! Will give brainly if correct!! 50 points
Answers
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
41.71%
Answer:
175 students.
102 students go to movies at least twice a week and 73 students either go 1 times or not going to the movies.
So
Students go 0-1 times per week = 73/175 = 0.4172 = 41.71%
Answer: last option
3^7=2187 converting from exponential to logarithm
Answers
y= b^x x=logb^y
7=log3 ^2187
can you do the rest?
It can be written as [tex]\rm{log_32187 = 7}[/tex].
LogarithmA log function is a way to find how much a number must be raised in order to get the desire number. [tex]a^c = b[/tex] can be written as
[tex]\rm{log_{a}b= c}[/tex]
where a is the base to which the power is to be raised,
b is the desired number that we want when power is to be raised,
c is the power that must be raised to a to get b.
For example, let's assume we need to raise the power for 10 to make it 1000 in this case log will help us to know that the power must be raised by 3.
[tex]\rm{log_{10}1000 = 3}[/tex]
Given to us,
Exponential, [tex]3^7 = 2187[/tex]
Now, a = 3, b= 2187, and c = 7.
Therefore, it can be written as [tex]\rm{log_32187 = 7}[/tex].
Learn more about Logarithm:
https://brainly.com/question/7302008
What is the area of the figure? The diagram is not drawn to scale.
Answers
29 * 28 = 812
The area of a 2D form is the amount of space within its perimeter. The area of the given parallelogram is 812 in².
What is an area?The area of a 2D form is the amount of space within its perimeter. It is measured in square units such as cm², m², and so on. To find the area of a square formula or another quadrilateral, multiply its length by its width.
The given figure is a parallelogram, and the area of the parallelogram is given by the formula,
Area of parallelogram = Base × Altitude
= 29 in × 28 in
= 812 in²
Hence, the area of the given parallelogram is 812 in².
Learn more about the Area:
https://brainly.com/question/1631786
#SPJ2
the dimensions of a square are altered so that 8 inches is added to one side while 3 inches is subtracted from the other. The area of the resulting recatangle is 126 in2. What was the original side length of the square
Answers
x--------> original length side of a square
we know that
area rectangle=length*width
area=126 in²
length=(x+8)
width=(x-3)
so
126=(x+8)*(x-3)------> x²-3x+8x-24=126----> x²+5x-150=0
using a graph tool------> to resolve the second order equation
see the attached figure
the solution is
x=10 in
the answer is
the original length side of a square is 10 in
The original side of square is [tex]10\;\rm{in[/tex].
Given: the dimensions of a square are altered so that [tex]8[/tex] inches is added to one side while [tex]3[/tex] inches is subtracted from the other. The area of the resulting recatangle is [tex]126\;\rm{in^2}[/tex].
As per question,
Let the side of square be [tex]x[/tex].
According to the question,
Length of new rectangle be [tex]x+8[/tex].
Breadth of new rectangle be [tex]x-3[/tex]
Area of rectangle [tex]=l\times b[/tex]
[tex](x+8)(x-3)=126[/tex]
[tex]x^2+8x-3x-24=126\\[/tex]
[tex]x^2+5x-150=0[/tex]
[tex]x^2+15x-10x-150=0\\x(x+15)-10(x+15)=0\\[/tex]
[tex](x+15)(x-10)=0\\[/tex]
So, [tex]x=10\;\rm{in[/tex] and neglecting [tex]x=-15\;\rm{in[/tex] as distance can't be negative.
Hence, original side of square is [tex]10\;\rm{in[/tex].
Learn more about area of rectangle here:
https://brainly.com/question/16309520?referrer=searchResults