Answer:
[tex]\left(-4y\:-\:16\right)\:-\:8y\:+\:10\:+\:2y=-10y-16+10[/tex]
Step-by-step explanation:
Given the expression
[tex]\left(-4y\:-\:16\right)\:-\:8y\:+\:10\:+\:2y[/tex]
Remove the parentheses
[tex]=-4y-16-8y+10+2y[/tex]
Group like terms
[tex]=-4y-8y+2y-16+10[/tex]
simplifying
[tex]=-10y-16+10[/tex]
Therefore, the equivalent expression with 3 terms for the expression is:
[tex]\left(-4y\:-\:16\right)\:-\:8y\:+\:10\:+\:2y=-10y-16+10[/tex]
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
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
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)
PLEASEEE HELP: 20 points with step by step
Answer: hopefully, this is right i think its 5.873
Step-by-step explanation:
Solve for k.
10/3 = K/9
K=
Answer:
is 30 hope I helped!!:D
Step-by-step explanation:
step 1 : cross multiply.
10/3= k/9
(10)*(9)=k*(3)
90=3k
step 2: flip the equation.
3k =90
step 3: Divide both sides by 3.
3k/3=90/3
k=30
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:
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
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:
https://brainly.com/question/25731911
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
-\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:
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.
6th grade math help me plzzz
Answer:
b
Step-by-step explanation:
s is inversely proportional to t . When s = 0.6 , t = 5 Work out s when t = 0.3
Answer:
s = 10
Step-by-step explanation:
Given s is inversely proportional to t , then the equation relating them is
s = [tex]\frac{k}{t}[/tex] ← k is the constant of proportion
To find k use the condition when s = 0.6, t = 5
0.6 = [tex]\frac{k}{5}[/tex] ( multiply both sides by 5 )
3 = k
s = [tex]\frac{3}{t}[/tex] ← equation of proportion
When t = 0.3, then
s = [tex]\frac{3}{0.3}[/tex] = 10
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
plZz answer i need HELP ANswer BOth
Answer:
[tex]m = 35.65 \\ b = 17.25[/tex]
Step-by-step explanation:
srry if its wrong but I think it's right :)
btw for the first one
p=19.53
Can someone help me
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
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
A shoe box has a length of 14.5 inches, a width of 7 inches, and a height of 5 inches.
Answer:
418
Step-by-step explanation:
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.
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:
Pls heeelp plsss plsss
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
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:
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
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
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 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.
One to one relationships describe situations where people are matched with with unique identities, such as their Emirates ID number. A function is a relation that matches x-values to y-values. What do you suppose a one to one function is?
A one to one function is a function which matches exactly one x value with exactly one y value. The fancy term for this is an injective function.
The one function that matches to the one relationships of the situation where the people have equal identities as their ID numbers. The function relates to the injunctive function.
The function is called as one to one function. The function x = f(x) maps the distinct element of the distinct functions. Such as 1 = D, 2- B, and 3 = A.Learn more about the are matched with with unique identities.
brainly.com/question/24004220
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
