Answer:
Step-by-step explanation:
the sales tax will be 150*(7/100)=10.50
choice B
Flared sides smoothly connect the ramp to the sidewalk. The guidelines say the flared sides must be no more than 5.7 degrees ( ratio of vertical to horizontal). What is the horizontal distance for flared sides with a 4 inch vertical distance?
Answer:
[tex]40\ \text{inches}[/tex]
Step-by-step explanation:
[tex]\theta[/tex] = Angle = [tex]5.7^{\circ}[/tex]
Let the vertical distance be is [tex]y=4\ \text{inches}[/tex]
horizontal distance be [tex]x[/tex]
So, slope is the tangent of the angle between the vertical and horizontal
[tex]\dfrac{y}{x}=\tan\theta\\\Rightarrow \tan5.7^{\circ}=\dfrac{4}{x}\\\Rightarrow x=\dfrac{4}{\tan5.7^{\circ}}\\\Rightarrow x=40.07\approx 40\ \text{inches}[/tex]
The horizontal distance for flared sides is [tex]40\ \text{inches}[/tex].
The horizontal distance for flared sides with a 4 inch vertical distance is 40.1 inches
Represent the horizontal distance with h, and the vertical distance with v.
The ratio of the vertical to the horizontal distance is given as: 5.7 degrees.
This means that:
[tex]\tan(5.7) = \frac{v}{h}[/tex]
Make h the subject
[tex]h = \frac{v}{\tan(5.7)}[/tex]
The vertical distance is given as 4 inches.
So, we have:
[tex]h = \frac{4}{\tan(5.7)}[/tex]
Evaluate tan(5.7)
[tex]h = \frac{4}{0.0998}[/tex]
Divide
[tex]h = 40.1[/tex]
Hence, the horizontal distance is 40.1 inches
Read more about vertical and horizontal distances at:
https://brainly.com/question/11956731
Meredith has 8 pages of homework to do. If she can finish of a page in one hour, how
many hours will her homework take?
Answer: 8 Hours to finish her homework.
Step-by-step explanation: We know each page, or 1 page takes 1 hour to finish. We want to know how many hours it would take to take finish 8 pages of homework. To find this, simply multiply 1 by 8. (1 hour per page, or 1 hour for each of the 8 pages.)
1 x 8 = 8.
So it will take Meredith 8 hours to finish her homework.
Answer:
it will take 8 hours if you mean one page an hour
Step-by-step explanation:
mark me brainliest pls
Fitz is x years old. If Fiona's is 3years younger than twice Fitz's age, what expression describes Fiona's age in terms of x ?
Answer:
(2x - 3) years
Step-by-step explanation:
Fitz is x years old.
Let us represent:
Fiona's age = y years old
If Fiona's is 3years younger than twice Fitz's age.
y = 2 × x - 3
y = 2x - 3
Therefore, the expression that describes Fiona's age in terms of x is
(2x - 3)years
What is the value of r of the geometric series?
Sigma-Summation Underscript n = 1 Overscript 3 EndScripts 1.3 (0.8) Superscript n minus 1
0.8
1.3
3.0
3.2
Answer:
0.8Step-by-step explanation:
Given the formula for the geometric series expressed as;
[tex]\sum \left \{ {3} \atop {1}} \right 1.3(0.8)^{n-1}[/tex]
The nth term of a geometric progression is expressed as;
[tex]T_n = ar^{n-1}\\[/tex]
a is the first term
r is the common ratio
Comparing both equations;
[tex]0.8^{n-1} = r^{n-1}\\Cancel \ the \ powers\\0.8 = r\\r = 0.8\\[/tex]
Hence the value of r of the geometric series is 0.8
Answer:
A
Step-by-step explanation:
Just took test
The non separable differential equation dy dx = 8x − 2y has a linear particular solution of the form y = mx + b. Find m + b.
Answer:
[tex]m + b=2[/tex]
Step-by-step explanation:
From the question we are told that
The non separable differential equation [tex]\frac{dy}{dx} = 8x - 2y[/tex]
Generally the chi form of a give equation is mathematically represented as
[tex]\frac{dy}{dx} +P(x)y= q(x)[/tex]
[tex]\frac{dy}{dx} + 2y = 8x[/tex]
[tex]ye^2^x=\int e^2^.8xdxx[/tex]
[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{\int e^2^x}{2})[/tex]
[tex]ye^2^x=8(\frac{xe^2^x}{2}-\frac{e^2^x}{1})+c\\[/tex]
[tex]ye^2^x=4x^2^x-2e^2^x+c[/tex]
[tex]y=4x-2+c[/tex]
for c=0
[tex]y=4x-2[/tex]
Therefore
[tex]m=4\\b=-2\\m + b=4-(+2)[/tex]
[tex]m + b=2[/tex]
The linear particular solution of the form [tex]y=mx+b[/tex] where [tex]m+b=4-2=2[/tex]
Nonseparable differential equation:
Differential equations that cannot be written [tex]\frac{dy}{dx} =f(x)g(y)[/tex] are non-separable differential equations.
In other words, we can say those differential equations which are not separable are called non-separable differential equations.
The given equation is,
[tex]\frac{dy}{dx}=8x-2y[/tex]
This is in the form [tex]\frac{dy}{dx} +p(x)y=\phi(x)[/tex]
Here [tex]P=2, Q=8x[/tex]
So, [tex]e^{\int_{}^{}Pdx}=e^{\int_{}^{}2dx}=e^{2x}[/tex]
Therefore, the general solution is,
[tex]ye^{\int_{}^{}Pdx} =\int_{}^{}Qe^{\int_{}^{}Pdx}dx+c\\ye^{2x}=\int_{}^{}8xe^{2x}dx+c\\y=4x-2+c^{-2x}[/tex]
Learn more about the topic of nonseparable differential equations:
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Combine like terms.
(-3x - 2) + (4y + 8x) + (3 + 7y)
(-3x – 2) +(4y +8x) + (3 + 7y) = (Simplify your answer.)
Answer:
5x+1+11y
Step-by-step explanation:
what is 1/5 +2/4?the simplest form
Answer:
7 /10 0.7
Step-by-step explanation:
To add fractions, find the LCD and then combine.
Answer:
7/10
Step-by-step explanation:
First, find the smallest possible denominator between the two fractions. The smallest one is 20.
Now, both denominators need to become 20. To get the 5 in 1/5 to become 20, it needs to be multiplied by 4. Whatever you do to the denominator, you must do to the numerator.
1 x 4 = 4
The first fraction is now 4/20.
To get the 4 in 2/4 to become 20, you must multiply it by 5. Whatever you do to the denominator, you must do to the numerator.
2 x 5 = 10
The second fraction is now 10/20.
Add the fractions. Keep the denominators the same and add the numerators.
4/20 + 10/20 = 14/20
Simplify by dividing both numbers by 2
7/10
Armando has collection of 25 coins . Of the 25 coins , 11 are nickles. What percent of the coins are nickles ?
Answer:
10%
Step-by-step explanation:
-\dfrac{16}{5},8,-20,− 5 16 ,8,−20,minus, start fraction, 16, divided by, 5, end fraction, comma, 8, comma, minus, 20, comma
Answer:
50
Step-by-step explanation:
Correct question
-16/5, 8, -20. What is the next term of the geometric sequence.
The nth term of a geometric sequence is expressed as:
Tn = ar^n-1
From the sequence:
a is the first term = -16/5
n is the number of term = 4(since next term is 4th term
r is the common ratio = (8)÷(-16/5) = 8×-5/16
r = -5/2
Substitute the given values into the formula
T4 = -16/5(-5/2)^4-1
T4 = -16/5(-5/2)³
T4 = -16/5×-125/8
T4 = -16/8×-125/5
T4 = -2×-25
T4 = 50
Hence the next term is 50
Answer:
Step-by-step explanation:
What is one variable and two-variable data? Can you give some examples?
Answer:
one variable data table has only one input cell and many result cells. A two-variable data table has two input cells, but only one result cell. If you look at the bar graphs, histograms, and circle graphs, they all look at one variable at a time and display the number of times or percentage of times an individual point or interval is counted. These are displays for a one variable data set. Two variable data sets give measures of two attributes for each item in a sample. Such as - eye colour & hair colour, grade & gender.
Step-by-step explanation:
Hope it helps <3
Pls heeelp plsss plsss
Solve the system using the substitution method.
y=4
x+y=7
Demonstrate how you substituted to write an equation in one variable.
Answer:
x=3
Step-by-step explanation:
x+4=7
x=7-4
x=3
since y=4, we can substitute that value into the second equation. now x+y=7 becomes x+4=7. when we subtract three from both sides, we get that x=3. the ordered pair is (3,4)
Can someone help me
Suppose 8x + 16 ice cream cones were sold on Saturday and 7x – 9 were sold on Sunday. What is the total number of ice cream cones sold?
A. 15x + 25
B. 15x + 7
C. x + 7
D. x + 25
which one is correct please help
Answer:
B. 15x+7
Step-by-step explanation:
8x + 7
+ =15x +7
7x - 9
collin invests £11180 into his bank account. he receives 4.3% per year simple interest. how much will collin have after 3 years?
Answer:
Step-by-step explanation:
To calculate simple interest use the following formula
Presentvalue(1+it)
where i=interest
t=time
We can easily plug in our values and solve for the answer
11180(1+0.043*3)
Put this into a calculator and get £12622.22
PLEASEEE HELP: 20 points with step by step
Answer: hopefully, this is right i think its 5.873
Step-by-step explanation:
answer both correctly for brainliest
Answer:
8) y = x/2 + 6
9) x = -(7/4)
Step-by-step explanation:
for (8), start with point-slope form and enter -2, 5, and 1/2 into the appropriate places:
y-5 = (1/2)(x- -2)
simplify by distributing (1/2)
y-5 = x/2 + 1
add 5 to both sides to get yourself in slope-intercept form
y = x/2 + 6
for 9, start by distributing the 3 and the 2
6x-12 = 10x-8+3
combine like terms
6x-12 = 10x-5
subtract 6x from both sides
-12 = 4x-5
add 5 to both sides
-7=4x
divide both sides by 4
-(7/4) = x
need help again ...these questions are hard
Answer:
Number 1 and 4
Step-by-step explanation:
To do this substitute the different values of x and y into the equations and see if they come out true or not.
1. (4, -3)
Put x = 4 and y = -3 into both equations:
2x + y = 5 --> 2(4) - 3 = 5 --> 8 - 3 = 5 --> 5=5 (true)
6x + 3y = 15 --> 6(4) + 3(-3) = 15 --> 24 - 9 = 15 --> 15 = 15 (true
So number 1 works
2. (2, 4)
Put x = 2 and y = 4 into both equations:
2x + y = 5 --> 2(2) + 4 = 5 --> 4 + 4 = 5 --> 8 = 5 (NOT true)
Number 2 does not work
3. (1, 3)
Put x = 1 and y = 3 into both equations:
2x + y = 5 --> 2(1) + 3 = 5 --> 2+ 3 = 5 --> 5 = 5 (true)
6x + 3y = 15 --> 6(1) + 3(9) = 15 --> 6 + 27 = 15 --> 33 = 15 (not true)
Number 3 does not work
4. (0, 5)
Put x = 0 and y = 5 into both equations:
2x + y = 5 --> 2(0) + 5 = 5 --> 5 = 5 (true)
6x + 3y = 15 --> 6(0) + 3(5) = 15 --> 15 = 15 (true)
Number 4 does work
Number 1 and number 4 are the answers.
Y = (x+7)(x+3)
vertex
minimum
y-intercepts
x-intercepts
Answer:
Vertex: (-5,-4) Y-int: (0,21) X-int. = (-7,0), (-3,0)
Step-by-step explanation:
Please help please...
first part: put them equal to each other
6x - 25 + 4x = 45 + 3x - 7
10x - 25 = 38 + 3x
7x - 25 = 38
7x = 63
x = 9
second part: plugin
6x - 25 + 4x
6(9) - 25 + 4(9)
54 - 25 + 36
29 + 36
= 65
-- plugging this in one of the equation is enough, since both are the same.
final answer for the second part: 65
Help me with 1,2,3,4 (geometry)
Answer:
(1) The angle bisector of ∠TPR is 45⁰
(2) m∠QPR = 90⁰
(3) m∠TPS = 45⁰
(4) m∠QPV = 45⁰
Step-by-step explanation:
(1) The angle bisector of ∠TPR is 45⁰
(2) From the given figure, the m∠QPR is a right angle, thus m∠QPR = 90⁰
(3) m∠TPS is a bisector of the right angle RT, m∠TPS = 45⁰
(4) m∠QPV = 180 - (∠SPR + ∠QPR) [sum of angles on a straight line]
m∠QPV = 180 - (45 + 90)
m∠QPV = 180 - 135
m∠QPV = 45⁰
Sophie pays m dollars to rent a car for the weekend on the drive home she buys $45 worth of gasoline her friend melody pays for one half the cost of the car rental only.
Complete Question
Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.
Answer:
1/2m + 45
Step-by-step explanation:
We are told in the question that:
On the drive home, she buys $45 worth of gasoline.
Her friend Melody pays for one-half the cost of the car rental only.
Sophie pays m dollars to rent a car for the weekend.
The amount sophie pays for car rental = m - 1/2m
= 1/2m
Therefore, the expression used to determine how much sophie spent is written as:
1/2 × $m + $45
1/2m + 45
Work out the circumference of this circle.
Give your answer in terms of pie
6 mm
======================================================
Explanation:
The circumference of a circle is the distance around the full circle, aka the perimeter.
The formula for the circumference is
C = pi*d
where d is the diameter. The radius given is 6, so the diameter is 2*6 = 12.
The circumference, is therefore:
C = pi*d
C = pi*12
C = 12pi millimeters
---------
As a slight alternative, you can use this formula
C = 2*pi*r
with r = 6 as the radius
C = 2*pi*r
C = 2*pi*6
C = 2*6*pi
C = 12pi
We get the same answer as before.
A paramedic in an ambulance does not experience the Doppler effect of the siren?
Answer:
He does not
Step-by-step explanation:
He doesn't experience Doppler effect because with respect to him, the source of sound is stationary.
Please I really need help
Show workings!
which statement correctly compares the rate of change of the two functions
Answer:
C
Step-by-step explanation:
Equation of Function A is
y=2x+5
Equation of Function B is
y=2x-3
Guys plz solve this .
Answer:
X=7
Step-by-step explanation:
4x+8=7x-13
-4x. -4x
8= 3x -13
+13. +13
21=3x
21÷3=7
x=7
Answer:
The answer is x = 7
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable
x3+15=x9-3 pls answer
id-k but here we go
have you seen things of circles and triangles and squares? This problem is just like this. You would probably identify the squares circles and triagnles as...well....traingles circles and squares. Well, we do that but with the variables.
The numbers with 'x' is one group. And the one without it is another group. So....take 'x3' and take the x9. Because they have the same variable.
x3 + x9. (why we are adding is because it has nothing to drag with it and both of these numbers are positive)
x12!
Now do teh same with 15 and 3. Bring the plus and the subtraction sign with 3 and 15. We cant just leave them there. 15-3=12.
we have 12. this must equal 12!!!!!
please helppppp mee
Answer:
The domain is the speed of the airplane.
The range is the distance travelled by the airplane.
Step-by-step explanation:
From Theory of Values, the domain of a function is the set of independent values, whereas the range of a function is set of dependent values, that is, values associated to one distinct element from domain. In this case, the independent variable is speed, whereas the dependent variable is the distance travelled by the airplane, since it is described in terms of speed.
Hence, the answer to this exercise is:
The domain is the speed of the airplane.
The range is the distance travelled by the airplane.
B = 57°, b = 26 cm. Find c in cm. Round to 2 decimal places.
Answer:
17
Step-by-step explanation:
Answer:
21.1cm
Step-by-step explanation:
From sine rule which can be expressed as
b/ sinB = c/sin C
B = 57°,
b = 26 cm.
FROM THE COMPLETE QUESTION,
C=43°
Then we can substitute this
26/sin(57) = c/sin(43)
If we cross multiply and make "c" subject of the formula
c=[26 × sin(43)]/ sin57
c= 21.1 cm
