The representation of the given equation 'v' as subject of the formula v = 6 ( T - 5 ).
What is meant by mathematical expression?Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Dividends are made by multiplying them. When you divide 12 into three equal groups of 4, you get four in each group if 3 groups of 4 add up to 12.The main goal of division is to produce equal groups or to establish the number of individuals in each group after a fair distribution.In mathematics, division is the process of dividing a number into equal parts and determining the most possible number of equal parts.For example, 15 is divided into 3 groups of 5 when multiplied by 3.Given,
T = v / 6 + 5
substract 5 on both the sides, we get
⇒ T - 5 = v / 6 + 5 - 5
⇒ v / 6 = T - 5
Now represent 'v' as a subject of the formula we get,
v = 6 ( T - 5)
Hence, v = 6 (T - 5 ) is the representation of the given equation 'v' as subject of the formula.
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Suppose that $2000 is initially invested in an account at a fixed interest rate, compounded continuously. Suppose also that, after four years, the amount of
money in the account is $2411. Find the interest rate per year.
Write your answer as a percentage. Do not round any intermediate computations, and round your percentage to the nearest hundredth.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$2411\\ P=\textit{original amount deposited}\dotfill & \$2000\\ r=rate\to r\%\to \frac{r}{100}\\ t=years\dotfill &4 \end{cases}[/tex]
[tex]2411=2000e^{\frac{r}{100}\cdot 4}\implies \cfrac{2411}{2000}= e^{\frac{r}{25}}\implies \log_e\left( \cfrac{2411}{2000} \right)=\log_e\left( e^{\frac{r}{25}} \right) \\\\\\ \log_e\left( \cfrac{2411}{2000} \right)=\cfrac{r}{25}\implies 25\cdot \ln\left( \cfrac{2411}{2000} \right)=r\implies \stackrel{\%}{4.67}\approx r[/tex]
17 + 2.6b = 30
2.6b=30-17=
2.6b=13
b=13/2.6
2.6b/2.6=13/2.6
2.6b/2.6=5
b=5
How do I check this equation to see if it is correct?
Answer:
You insert 5 back into the equation
Step-by-step explanation:
17 +2.6b=30
17 +2.6(5)=30
17 +13=30
Need help dragging the dot on the graph as well
The drag point point is shown on the graph.
What is drag point?
When a single point or the center of a circle is specified numerically, the point can be moved, and the mouse can be used to edit graphs (ex. translation of a parabola).
Consider, the given equation
[tex]g(x) = -\frac{5}{3} x-1[/tex]
We have to find the value of g(x) at x = 3.
So, plug x = 3 in the above equation.
[tex]g(3) = -\frac{5}{3}(3)-1\\ g(3)=-5-1\\g(3) = -6[/tex]
Therefore, the point is (3, -6).
We have to drag the point (3, -6) on the graph.
The drag point graph is attached below.
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1. Find extrema and intervals of increasing and decreasing the function
[tex]y = \frac{ {e }^ { - (x + 2)} }{x + 2} [/tex]
2. Find inflection points and intervals of concavity and convexity of the function:
[tex]y = \frac{2x - 1}{(x - 1) ^{2} } [/tex]
The function y = (e⁻⁽ˣ⁺²⁾) / x + 2 increases along intervals of (-∞, 3) and decreases along (-3, -2), (-2, ∞) and the function y = 2x - 1 / (x - 1)² has no inflection points but concave downwards along (-∞, 1) ∪ (1 ,∞)
Extrema and Intervals of a FunctionAn extremum (or extreme value) of a function is a point at which a maximum or minimum value of the function is obtained in some interval. A local extremum (or relative extremum) of a function is the point at which a maximum or minimum value of the function in some open interval containing the point is obtained.
The function given;
y = (e⁻⁽ˣ⁺²⁾) / x + 2
The extrema and intervals of increase or decrease of this function are
(-1, 1.63) and it increases along (-∞, 3) and decreases along (-3, -2), (-2, ∞)
2. The inflection points and intervals of concavity and convexity of the function
y = 2x - 1 / (x - 1)² are
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How many solutions does the following equation have?
2(3x + 5) = 2(2x - 3) + 2x
There are infinitely many solutions.
There are no solutions.
There are two solutions.
There is one solution.
17p5
Exponent:
Variable:
tify the term, coefficient, and the variable.
Term:
Coefficient:
For the given expression, the variable is p, coefficient is 17 and the exponent is 5.
Expression:
Expression refer the algebraic expression that consists of variables, numbers and math operators.
Given,
Here we have the expression 17p⁵
Now, we have to find the exponent, coefficient and variable.
As per the definition of exponent, the term exponent refers the power value of the expression.
So, the exponent is 5.
And the definition of coefficient is an integer that is written along with a variable or it is multiplied by the variable.
So, the coefficient is 17.
And the variable of this expression is p.
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The McDonald family drove from Halifax to Montreal on a summer vacation. On the way there, they traveled approximately 240 km each day, stopping overnight in many different resorts. They stayed in Montreal for 6 days. On the way back, they drove about twice as far each day before stopping. The total trip was about 2880 km. How many days did the vacation last?
Answer:
18 days
Step-by-step explanation:
this question is actually pretty simple, so all you have to do is take the total km which is 2880 divide it by 240 which is 12 then add 6 to it which makes 18 days
a(5-4) i need the full answer pls
Answer:
1a (or) a
Step-by-step explanation:
Given expression,
→ a(5 - 4)
Let's simplify the expression,
→ a(5 - 4)
→ a(1)
→ a × 1
→ 1a (or) a
Therefore, the answer is 1a.
30% of the animals in a wildlife park are lemurs, 40% are ring tailed lemurs. What percentage of the animals in the wildlife park are ring tailed lemurs?
12% of total animals are ring-tailed lemurs.
What is percentage?A percentage is a fraction of an amount expressed as a particular number of hundredths of that amount.
Given that, 30% of the animals in a wildlife park are lemurs, 40% are ring-tailed lemurs.
Let total animals be 100.
30% of 100 = 30
40% of 30 = 12
12/100*100 = 12%
Hence, 12% of total animals are ring-tailed lemurs.
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19. Jules and Lauren need to write an equation of a line that is perpendicular to: y - 2 = 1/(x-3). Jules writes the equation: y = -5x + 1 Lauren writes the equation: y = -5x + 7. Explain why both equations are correct.
I'm assuming your equation was:
[tex]y-2=\dfrac{1}{5}(x-3)[/tex]
Both Jules' line and Lauren's line have a slope of -5 or [tex]-\dfrac{5}{1}[/tex] and those two lines are parallel since they have the same slope.
Perpendicular lines have slopes that are opposite reciprocal values.
The opposite reciprocal of [tex]-\dfrac{5}{1}[/tex] is a positive [tex]\dfrac{1}{5}[/tex], which is why these two lines are perpendicular to the line at the top of my answer.
Which graph represents the function f(x) = |x − 1| − 3 ?
Answer:
See picture below.
Step-by-step explanation:
f(x) = |x|
This absolute value will have a v shape, the "v" point at (0,0)
Next,
f(x) = |x-1|
This (-1) moves the v shape one unit to the right, "a translation to the right by 1."
Finally,
f(x) = |x-1| - 3
This (-3) moves the v shape down 3 units. This is why the answer is the original
f(x) = |x|
except it's moved right by 1, and down by 3.
Step-by-step explanation:
The graph that represents is translated right by 1 units and 3 unit up to form. Hence, graph (a) is correct.
What is a function?
Function is a type of relation, or rule, that maps one input to specific single output.
The parent function of an absolute function is;
y = |x|
When a function is translated right by h units, the transformation rule by;
y = |x-h|
So:
|x-1|-3 means that it is translated right by 1 units
When a function is translated up k units, then the transformation rule is:
y = |x| + k
y = |x-1|-3
This means that it is translated right by 1 units and 3 unit up to form
Hence, graph (a) is correct
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Complete the square to make a perfect square trinomial. Then, write the result as a binomial squared.
q^2+5/6q
The perfect square trinomial and binomial of the expression [tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] are [tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] + [tex]\frac{25}{144}[/tex] and [tex](q + \frac{5}{12}) ^{2}[/tex]
What is a perfect square expression?Perfect squares are numbers or expressions that are the product of a number or expression multiplied to itself. 7 times 7 is 49, so 49 is a perfect square. x squared times x squared equals x to the fourth, so x to the fourth is a perfect square.
[tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] expression can be made into a perfect square by adding the square of half the coefficient of q
coefficient of q = [tex]\frac{5}{6}[/tex]
Half of [tex]\frac{5}{6}[/tex] = [tex]\frac{5}{12}[/tex]
square [tex]\frac{5}{12}[/tex] we have [tex](\frac{5}{12}) ^{2}[/tex] which becomes [tex]\frac{25}{144}[/tex]
so the perfect square trinomial = [tex]q^{2}[/tex] + [tex]\frac{5}{6}q[/tex] + [tex]\frac{25}{144}[/tex]
the binomial is [tex](q + \frac{5}{12}) ^{2}[/tex]
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Can someone help me how to get to this answer. What do you do to get to this answer
Answer:
Step-by-step explanation:
1 gallon = $29.95
Nikki needs 12.25 gallons, so,
12.25 gallons= 12.25 × 29.95 = $ 366.8875 = $ 366.89
A man pulled a cart filled with stones that had a total mass of 60 kg.
He increased the amount of force used to pull the cart from 60 N to 90 N, what is the new
acceleration of the cart?
The amount of force used to pull the cart from 60 N to 90 N, the new acceleration of the cart is, 1.5 m/s²
What is Force ?The definition of force is the pushing or pulling of anything. Push and pull are the result of two things interacting with one another. Stretch and crush are two more phrases that can be used to describe force.
Formula of force,
F = ma
Given that,
A man pulled a cart filled with stones that had a total mass of 60 kg
He increased the amount of force used to pull the cart from 60 N to 90 N
New acceleration of cart = ?
F = ma
Old acceleration,
60 = 60a
a = 1 m/s²
New acceleration,
90 = 60a
a = 90/60
a = 3/2
a = 1.5 m/s²
Hence, the new acceleration is 1.5 m/s²
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Help asap, please and thank you
To describe the temperatures for the week, we can apply the following statistical tools:
a) Find the mean, median, mode, and range.
c) Construct a line graph.
d) Construct a stem and leaf plot.
What are the statistical tools for describing temperatures?We can describe temperatures using measures of central tendencies (especially the mean, median, and mode).
The mean temperature is the average, which shows the overall trend in temperature changes. It is computed by adding up the temperatures for the period and diving by the number of data values.
In addition, the median gives the middle value when the data set is ordered in ascending or descending orders. Similarly, the mode gives the highest temperature occurrence within the period. It may not be useful here.
We can estimate the difference between the highest and lowest temperature for the week with the range.
A line graph (showing connecting lines) and a stem-and-leaf plot (like a bar graph) can graphically describe the temperatures for the week.
Thus, we can use Options A, C, and D to describe the temperature.
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Question Completion:What could you do to describe the following data, showing temperatures for the week? (Check all that apply.)
Mon - 65°
Tues - 67°
Wed - 66°
Thur - 70°
Fri - 72°
Sat - 68°
Sun - 69°
a) Find the mean, median, mode, and range.
b) Survey people about the weather.
c) Construct a line graph.
d) Construct a stem-and-leaf plot.
what’s the solution for 7x - 10x + 2x = -5
Answer:
x = 5
Step-by-step explanation:
Finding the solution is getting the value for x that makes the math sentence true.
7x -10x +2x = -5
Combine like terms (all the x terms can add together)
-x = -5
Multiply (or divide) both sides by -1
x = 5
a) find x and y.
b) find x and y
c) find x and y
Using the proportionality theorem, to find the values of x and y, we have:
a. x = 1.25; y = 1.75
b. x = 15; y = 4
c. x = 3; y = 2
What is the Proportionality Theorem?According to the proportionality theorem, the side lengths of similar triangles have the same ratio, or are proportional to each other.
Using the proportionality theorem, we can find the following missing values of x and y.
a. (5 + x)/5 = 10/8 [proportionality theorem]
Cross multiply
8(5 + x) = (5)(10)
40 + 8x = 50
8x = 50 - 40
8x = 10
x = 10/8
x = 1.25
5/x = 7/y
Plug in the value of x
5/1.25 = 7/y
5y = 8.75
y = 1.75
b. x/5 = 18/6 [proportionality theorem]
6x = 90
x = 90/6
x = 15
12/y = 18/6
Cross multiply
18y = 72
y = 72/18
y = 4
c. x/6 = 1.5/3 [proportionality theorem]
3x = 9
x = 9/3
x = 3
y/4 = 1.5/3
Cross multiply
3y = 6
y = 6/3
y = 2
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Answer:
a. x = 1.25; y = 1.75
b. x = 15; y = 4
c. x = 3; y = 2
Step-by-step explanation:
An account earning interest at a rate of 4% compounded monthly has a principal of $ 500,000 . If no more deposits or withdrawals are made , how much money will be in the account after five years?
Answer:
$610,498.30
Step-by-step explanation:
P = C (1 + r/n)^nt
4% = 0.04
P = 500 000(1+0.04/12)^(12*5)
P = 500 000 (1.003333)^60
P = 500 000 (1.220997)
P = $610 498.296971
how can I change eight days into hours
Answer:
8 days = 192 hours
Step-by-step explanation:
Formula we use,
→ 1 day = 24 hours
Conversion of 8 days into hours,
→ n days × 24 hours
→ 8 × 24
→ 192 hours
Hence, there are 192 hours.
what is 490 * 5 .
A. 98
B.
485
C.
5,560
D.
6,860
Answer:
None of the answers are right based on given context.
The product is 2,450.
Step-by-step explanation:
1) use the partial product method.
4 9 0
× 5
-------------------------------------
4 5 0 (5×90)
2 0 0 0 (5×400)
-----------------------------------------
2 4 5 0
2) Therefore 490 x 5 = 2,450.
2,450
Jamal's friends toss 12 balls to him at the same time. Three balls are red, 3 are green, 3 are blue, and 3 are white. Jamal manages to catch 5 of the balls.
What is the probability that he catches 2 red balls and 1 ball of each of the other colors?
Enter your answer as percentage, expressed to the nearest tenth of a percent, like this: 42.2%
Answer:
Step-by-step explanation:
1 white 1 green 1 blue + 2 reds = 5 balls
5 seen as a percentage
5%
For each problem, use implicit differentiation to find
dy at the given point.
Using implicit differentiation at the given point gives;
a) dy/dx = 4
b) dy/dx = -³/₈
How to carry out implicit differentiation?In implicit differentiation, what we are doing is that we are differentiating each side of an equation with two variables (usually x and y) by treating one of the variables to act as a function of the other. This implies the use of chain rule
13) x² + y³ = 5
Using implicit differentiation gives;
2x + y²(dy/dx) = 0
dy/dx = -2x/(y²)
At (-2, 1), we have;
dy/dx = -2(-2)/(1²)
dy/dx = 4
14) x³ = -4y² + 3
Using implicit differentiation gives;
3x² = -8y(dy/dx) + 0
dy/dx = -³/₈x²/y
At (-1, 1), we have;
dy/dx = -³/₈(-1)²/1
dy/dx = -³/₈
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I NEED HELP ASAP WITH THIS
Answer: Jorge would have to run 3 [tex]\frac{3}{8}[/tex] miles to reach his 23 mile goal.
Step-by-step explanation:
When you add 5 [tex]\frac{3}{4}+ 7 \frac{3}{8}[/tex]=[tex]13\frac{1}{8}[/tex]
[tex]13\frac{1}{8}+6 \frac{1}{2}=19\frac{5}{8}[/tex]
Now you can subtract [tex]19 \frac{5}{8}[/tex] from 23, which would give you [tex]3\frac{3}{8}[/tex], being the total amount of miles left to run. You can add the terms without a calculator as well, by making the fractions have a common denominator.
Hope this helps!
PLS QUICK How did the mountainous geography of Athens influence the economy?
The people of Athens mined gold for trade.
The people of Athens were unable to raise any crops.
The people of Athens focused on the military to protect their region.
The people of Athens relied on sea trade.
Option D. The mountainous geography of Athens influence the economy as The people of Athens relied on sea trade.
How did the terrain of Athens influence the economy ?Greece's rugged terrain caused some areas, particularly Athens, to become dependent on trade. Many Greeks went on to become seafaring tradesmen and merchants. Greeks engaged in trade with other Mediterranean people for pottery, wine, and olive oil. They communicated with the outside world by sailing to neighboring islands.
The geography of the area influenced the ancient Greeks' political system and way of life. Mountains, seas, and islands formed natural barriers between the Greek city-states, forcing the Greeks to relocate to coastal areas.
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I will give brainliest!
Answer:
1/2
Answer choice 3.
Step-by-step explanation:
Hello again.
We can write all the numbers out.
13,14,15,16,17,18,19,20,21,22,23,24
There are 12 values.
Half of the values are even, so the probability of an even number is 1/2.
PLEASE GIVE BRAINLIESTAnswer:
1/2
Step-by-step explanation:
Numbers between 13 and 24:
13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
Even numbers
13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24
number of Even numbers/total number of numbers = probability of even number
= 6/12
= 1/2
4. Four years ago, Melody was one fourth as old as her sister was then, In six years, Melody will be half as old as het sister will be then. Find their ages now.
5. The sum of the digits of a two-digit number is 12 . The value of the number is 6 less than 5 times the units digit. Find the number.
6. Hannah likes to spend her free time hanging out at the airport. She likes to run on the walkways. While running with the walkway, she can cover 48 feet in 3 seconds. While running against the walkway, she can cover 24 feet in 2 seconds. Find Hannah's rate (in feet per second) if the walkway stopped moving.
Answer:
4) Melody is 9 and her sister is 24
5) The numbers are 3 and 9
6) 14 feet per second
Step-by-step explanation:
Questions 4
There is a lot going on here. This is probably hard to follow. If it is, it is me and not you.
Let m = Melody and s = sister
m - 4 = 1/4(s-4) m + 6 = 1/2(s + 6) Clear the fractions
4m - 16 = s -4 2m -s = -6
Multiple the second equation by -1 and add together
4m - s = 12
-2m + s = 6
2m = 18 Divide both sides by 2
m = 9 Substitute this in to find the sister's age
2m + 12 = s + 6
2(9) +12 + s + 6
18 + 12 = s + 6
30 = s + 6 Subtract 6 from both sides
24 = s
Questions 5
x + y = 12 x = 5y - 6
Plug in 5y - 6 in the first equation for x
5y - 6 + y = 12 Combine like terms
6y - 6 = 12 Add 6 to both sides
6y = 18 Divide both sides by 6
y = 3
x + y = 12
3 + y = 12 Subtract 3 from both sides
y = 9
I am little confused by this because it says, "The value of the number..." What number are they referring to?
Question 6
To find the rate taking into consideration the walkway rate:
[tex]\frac{48}{3}[/tex] - w Which is equivalent to 16 - w
[tex]\frac{24}{2}[/tex] + w Which is equivalent to 12 + w
Set these expression equal to each other and find the rate of the walkway
16 - w = 12 + w Add w to both sides
16 = 12 + 2w Subtract 12 from both sides
4 = 2w Divide both sides by 2
2 = w
The rate of the walkway is 2 feet per second. Subtract that from 16 or add is to the 12 to get 14 steps per second.
Gary can order stickers from two companies company A charges a $30 design fee plus $0.80 per sticker company beat charges of $14 design fee plus $1.20 per sticker how many stickers would Garrett have to order for the cost at both companies to be the same. what would the equation be?
To have the same price, 40 stickers will have to be ordered and the equation is 16 = 0.40p.
What is the equivalent equation?
Equivalent equations are algebraic equations with identical solutions or roots. Adding or subtracting the same number or expression from both sides of an equation yields an equivalent equation. An equivalent equation is created by multiplying or dividing both sides of an equation by the same non-zero number.
We have,
for company A :
Design Fee = $30
Costvper sticker = $0.80
for company B :
Design Fee = $14
Cost per sticker = $1.20
Let the number of stickers = p
Total cost of company A = 30 + 0.80p
Total cost of company B = 14 + 1.20p
For the cost to be the same :
Company A = Company B
30 + 0.80p = 14 + 1.20p
Collect like terms :
30 - 14 = 1.20p - 0.80p
16 = 0.40p
p = 16/0.40
p = 40 stickers
Therefore, to have the same price, 40 stickers will have to be ordered and the equation would be 16 = 0.40p.
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ITS A SIMPLE 50 POINT QUESTION! PLEASE HELP!
is y = 4 a relation?
Answer:
Y=4 is a function
Step-by-step explanation:
And to me function is relation
Hope i got this right and have a great day :)
Answer: Yes
Step-by-step explanation:
Yes, y = 4, which is often written as f(x) = 4, is a function that means “take any input, and no matter what it is, produce an output of 4”.
Question 3
0.5 pts
Jim wants to buy a computer. The total cost is $947. If he can save $60 a month, how
long will it take for him to save up for the computer? Round UP to the next whole
number of months!!
Question 4
1 pts
Justin wants to borrow $18,091 to buy a used car. He examined his budget and
decided that he can afford a payment of $400 per month. If his bank offers him an
SHA
Write the equation of the line that is perpendicular to the line below and passes through the point (4,-6) write your equation in point-slope form.
The required equation of the line is given as y = -4/3x - 2/3.
Given that,
The equation of the line that is perpendicular to the line below and passes through the point (4,-6).
A line is a straight curve connecting two points or more showing the shortest distance between the initial and final points.
Here,
The slope of the given line = 3/4
So the slope of the perpendicular line = -4/3
Now,
The perpendicular line passes from (4, -6)
The standard form of the equation,
y - y₁ = m [ x - x₁]
Substitute the value in the above expression,
y + 6 = -4/3[x - 4]
y = -4/3x + 16/3 - 6
y = -4/3x - 2/3
Thus, The required equation of the line is given as y = -4/3x - 2/3.
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