The measure οf the equal sides οf the triangle is 8√3 cm and the perimeter οf the triangle is apprοximately 49.9 cm.
The current carried by the third resistοr is 2.4A is the tοtal current is 8A what current is carried by the third resistοr.
What is a fractiοn?A fractiοn is a mathematical term that represents a part οf a whοle οr a ratiο between twο quantities.
a. Tο find the fractiοn οf tοtal current carried by the twο resistοrs, we need tο add up the currents and divide by the tοtal current. Let I be the tοtal current, and let I1 and I2 be the currents carried by the first twο resistοrs, respectively. Then we have:
I1 = 1/5I
I2 = 1/2I
The tοtal current is:
I = I1 + I2 = (1/5 + 1/2)I = 7/10I
Therefοre, the fractiοn οf tοtal current carried by the twο resistοrs is:
(I1 + I2)/I = (1/5I + 1/2I)/I = (7/10I)/I = 7/10
b. Let I3 be the current carried by the third resistοr. Then we have:
I3 = I - (I1 + I2) = I - 7/10I = 3/10I
Therefοre, the fractiοn οf tοtal current carried by the third resistοr is:
I3/I = (3/10I)/I = 3/10
c. If the tοtal current is 8A, then we have:
I = 8A
The current carried by the third resistοr is:
I3 = 3/10I = 3/10 x 8A = 2.4A
Therefοre, the current carried by the third resistοr is 2.4A.
To learn more about fraction from the given link:
https://brainly.com/question/10354322
#SPJ1
Reggie, Tom and Corwin collected stamps in the ratio of 8:4:5. After Corwin gave 3/10 to Reggie and Tom, Corwin had 192 less stamps than Reggie. The number of stamps that Tom had increased by 30%. How many stamps did Reggie and Corwin have in the end?
In the end, Reggie has 435.2 stamps and Cοrwin has 179.2 stamps.
What are the basic mathematical οperatiοns?The fοur basic mathematical οperatiοns are Additiοn, subtractiοn, multiplicatiοn, and divisiοn.
Let's start by assigning variables tο represent the number οf stamps each persοn has.
Let x be the cοmmοn factοr, sο Reggie has 8x stamps, Tοm has 4x stamps, and Cοrwin has 5x stamps.
After Cοrwin gave 3/10 οf his stamps tο Reggie and Tοm, he had (1-3/10) οr 7/10 οf his οriginal number οf stamps, οr 7/10(5x) = 7x/2 stamps.
Reggie and Tοm each received 3/20 οf Cοrwin's οriginal number οf stamps, οr 3/20(5x) = 3x/4 stamps.
Sο Reggie nοw has 8x + 3x/4 stamps = 35x/4 stamps, and Tοm has 4x + 3x/4 stamps = 19x/4 stamps.
We are alsο given that Cοrwin had 192 less stamps than Reggie after the exchange, sο:
5x = 35x/4 - 192
Multiplying bοth sides by 4 tο get rid οf the fractiοn:
20x = 35x - 768
Subtracting 20x frοm bοth sides:
15x = 768
Dividing bοth sides by 15:
x = 51.2
Sο Reggie has 8x = 409.6 stamps, Tοm has 4x = 204.8 stamps, and Cοrwin has 5x = 256 stamps.
If Tοm's number οf stamps increased by 30%, he nοw has 130% οf his οriginal number οf stamps, οr 1.3(204.8) = 266.24 stamps.
Finally, adding up the number οf stamps each persοn nοw has:
Reggie: 409.6 + 3x/4 = 409.6 + 3(51.2)/4 = 435.2 stamps
Tοm: 266.24 stamps
Cοrwin: 7x/2 = 7(51.2)/2 = 179.2 stamps
Therefοre, in the end, Reggie has 435.2 stamps and Cοrwin has 179.2 stamps.
To learn more about basic mathematical operations, Visit
https://brainly.com/question/20628271
#SPJ1
We can let Reggie had 8x, Tom, had 4x, Corwin had 5x, Corwin gave Reggie y1, gave Tom y2,
So: We can know from the question
3/10 * 5x = y1 + y2
8x + y1 - 7/10 * 5x = 192 (2)
4x + y2 = 4x * 13/10 (3)
(1) + (2) + (3)
8x + 4x + 3/10 * 5x - 7/10 * 5x = 192 + 4x * 13/10
So x = 40
in the end
Corwin has 7/10 * 5x = 140
Reggie has 140 + 192 = 332
Tom has 13/10 * 4x = 208
332 + 140 = 472
So Reggie and Corwin have 472 stamps in the end.
To know more about fractions visit the
https://brainly.com/question/8482939
I js need help with this question
a. The numeric values of the function are given as follows:
x = -1, y = -10.x = 5, y = 2.b. The function rule is given as follows: y = 2x - 8.
How to define a linear function?The slope-intercept representation of a linear function is given by the equation presented as follows:
y = mx + b
The coefficients of the function and their meaning are described as follows:
m is the slope of the function, representing the change in the output variable y when the input variable x is increased by one.b is the y-intercept of the function, which is the initial value of the function, i.e., the numeric value of the function when the input variable x assumes a value of 0. On a graph, it is the value of y when the graph of the function crosses the y-axis.From the table, when x = 0, y = -8, hence the intercept b is given as follows:
b = -8.
Considering points (0, -8) and (10, 12), when x increases by 10, y increases by 20, hence the slope m is given as follows:
m = 20/10
m = 2.
Hence the function is given as follows:
y = 2x - 8.
To complete the table, the numeric values are given as follows:
x = -1: y = 2(-1) - 8 = -2 - 8 = -10.x = 5: y = 2(5) - 8 = 10 - 8 = 2.More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
I need help with this please
Answer:
d
Step-by-step explanation:
1 kg has 1000 g
Then 2,5 kg has 2,5 × 1000 = 2500 g
You can also make a proportion:
1 kg - 1000 g
2,5 kg - x g
Use the property of the proportion to find x (cross-multiply):
x = 2,5 × 1000 / 1 = 2500 g
help pls show ur work
The height of the first floor above the second floor would be = 20 ft.
How to calculate the height of the first floor from the second floor?To calculate the height of the first floor from the second floor, the formula from SOHCAHTOA is used.
The opposite part of the triangle created by the escalator = ?ft
The hypotenuse of the triangle which is the height of the escalator = 40 ft
Sin 30° = X/40
X = sin30° × 40
X = 0.5×40
X = 20 ft
Learn more about triangle here:
https://brainly.com/question/28470545
#SPJ1
The distance d(in miles) that you can see to the horizon with your eye level h feet above the water is given by d = √3h/2.
How far can you see when your eye level is 35 feet above the water?
With an eye level of 35 feet above the water, you can see approximately 7.24 miles to the horizon.
What is multiplication ?Multiplication is a mathematical operation that involves combining two or more numbers to find their total or product. It is often denoted by the symbol "×" or "*", and the result of multiplication is called the product. For example, multiplying 3 and 4 gives a product of 12, written as 3 × 4 = 12.
According to the given information:To find out how far you can see when your eye level is 35 feet above the water, we can use the given formula:
d = √(3h/2)
Plugging in h = 35, we get:
d = √(3 * 35/2)
d = √(105/2)
d = √52.5
d ≈ 7.24
So, when your eye level is 35 feet above the water, you can see approximately 7.24 miles to the horizon. Keep in mind that this is an approximation and actual visibility may vary due to factors such as atmospheric conditions and the height of objects obstructing the view.
Therefore, With an eye level of 35 feet above the water, you can see approximately 7.24 miles to the horizon.
To know more about multiplication visit :
https://brainly.com/question/1135170
#SPJ1
type in symbols to make 3,7,12,2 equal 15
12 + 7 - 3 - 2
There are many ways to use mathematical symbols to make 3, 7, 12, and 2 equal 15. Here are a few examples:
3 + 7 + 2 + 3 = 15
(Add the first three numbers together, then add one of the 3's to get 15)
12 - 7 - 3 + 13 = 15
(Subtract 7 and 3 from 12 to get 2, then add 13)
2(7 + 3) - 12 = 15
(Add 7 and 3 together, multiply by 2, then subtract 12)
7(2) + 3 + 3 - 4 = 15
(Multiply 7 by 2, add 3 and the other 3, then subtract 4)
These are just a few examples - there are many other ways to use mathematical symbols to make these numbers equal 15!
The table represents the number of
elective classes offered at different
middle schools. Find the mean.
# OF CLASSES 7 8
q
2 3 2
FREQUENCY
COLUMN #2
10
1
The mean number of elective classes offered at different middle schools is given as follows:
8.25 elective classes per school.
How to calculate the mean of a data-set?The mean of a data-set is given by the sum of all observations in the data-set divided by the number of observations, which is also called the cardinality of the data-set.
The data-set in this problem is given as follows:
2 schools offer 7 classes.3 schools offer 8 classes.2 schools offer 9 classes.1 school offers 10 classes.Hence the sum of the observations is given as follows:
2 x 7 + 3 x 8 + 2 x 9 + 1 x 10 = 66.
The number of observations is given as follows:
2 + 3 + 2 + 1 = 8 schools.
Hence the mean number is given as follows:
66/8 = 8.25 elective classes per school.
More can be learned about the mean of a data-set at brainly.com/question/1136789
#SPJ1
A parabola opening up or down has vertex (0, -4) and passes through (10, 1). Write its
equation in vertex form.
Answer:
Since the vertex is (0, -4), we know that the equation of the parabola will have the form:
y = a(x - 0)^2 - 4
where "a" is the coefficient that determines whether the parabola opens up or down.
To find the value of "a", we can use the fact that the parabola passes through the point (10, 1):
1 = a(10 - 0)^2 - 4
1 + 4 = 100a
5 = 100a
a = 1/20
Substituting this value of "a" into the equation for the vertex form, we get:
y = (1/20)x^2 - 4
So the equation of the parabola in vertex form is y = (1/20)x^2 - 4, with vertex (0, -4) and passing through (10, 1).
Step-by-step explanation:
PROGRESSIVE
Employee: "When I started here, there were 500 employees. Since then, we have
added 35% more employees, so we now have a total of
employees."
175
350
535
635
Shanna Bedgood
675
Since the question is asking about total employees, we must add 175 to 500 to get 675. Therefore, the correct answer is 675.
What does increase mean?Increase means to grow or make larger in size, amount, degree, or intensity. It is the opposite of decrease, meaning to make or become less.
This is because when there were 500 employees, a 35% increase would be a total of 500 + 35% of 500
= 500 + 175
= 675.
To calculate 35% of 500, we use the formula:
(35/100) × 500 = 175
This means that 35% of 500 is 175, so when we add 175 to 500, we get 675.
Since the question is asking about total employees, we must add 175 to 500 to get 675.
Therefore, the correct answer is 675.
For more questions related to amount
https://brainly.com/question/25720319
#SPJ1
Four consecutive odd integers add up to 48. What are the integers?
Answer:12
Step-by-step explanation: 48/4
CALC PLEASE HELP!!
Let f(x)= x³ - 27x.
(i) Find the domain of f(x).
(ii) Compute f'(x) and f"(x).
(iii) Give the coordinates of the critical points.
(iv) Find the intervals where f(x) is increasing / decreasing.
(v) Give the coordinates of the relative extrema. Classify each extrema as a relative maximum
or a relative minimum.
ALSO
(vi) Find the intervals where f(x) is concave up/ concave down.
(vii) Give the coordinates of any points of inflection.
(viii) Sketch the graph of f(x).
Answer:
Step-by-step explanation:
y = x³ - 27x
(i). Domain: x ∈ ( - ∞ , ∞ )
(ii). f'(x) = 3x² - 27 ; f''(x) = 6x
(iii). 3x² - 27 = 0 ⇔ x² - 9 = 0 ⇒ [tex]x_{12}[/tex] = ± 3
If [tex]x_{1}[/tex] = - 3 , then [tex]y_{1}[/tex] = 54
If [tex]x_{2}[/tex] = 3 , then [tex]y_{1}[/tex] = - 54
Points are ( - 3 , 54 ) and ( 3 , - 54 )
(iv). ( - ∞ , - 3 ) ∪ ( - 3 , 3 ) ∪ ( 3 , ∞ )
increasing ----> decreasing -----> increasing
(v). x = - 3 is the maxima, the local maximum value is 54, f(-3) = 54
x = 3 is the minima, the local minimum value is ( - 54 ), f(3) = - 54
(vi). Concave up if f''(x) > 0 ; The interval is ( - ∞ , 0 )
Concave down if f''(x) < 0 ; The interval is ( 0 , ∞ )
(vii). Point of inflection is ( 0 , 0 )
f''(x) = 0
6x = 0
x = 0
The answer is 4 but I don’t understand why the graph is starting at -2.
Answer:
graph 4 (reflected vertically)
Step-by-step explanation:
You want the graph that represents a cosine function with no horizontal shift, an amplitude of 2, and a period of 2π/3.
AmplitudeThe amplitude of a sine or cosine function is the difference between the positive peak and the centerline. All of the graphs show functions with an amplitude of 2.
Period/FrequencyThe period of the function is the difference of x-values between the first instance of the function and the first repeat: f(x) ≡ f(x+p) has a period of p.
Graphs 1 and 3 show periods of 2π/9; graphs 2 and 4 show periods of 2π/3, as required.
Horizontal shiftThere is an interaction between horizontal shift and vertical reflection. Sine or cosine functions are effectively inverted (reflected over the x-axis) if they are shifted horizontally by 1/2 period—and vice versa.
The function in graph 3 is a sine function, or a horizontally shifted cosine function.
The function in graph 4 is a cosine function that has been shifted 1/2 perior, OR a cosine function that has been reflected over the x-axis.
Graph 4 is the only viable choice for a cosine function with the correct period, so we have to assume it starts at -2 because it has been reflected vertically over the x-axis. (There seems to be no restriction on that in the problem statement.)
__
Additional comment
Ordinarily, you might not be expected to make any assumptions about vertical reflection. It seems a bit of a trick question.
Jami is an accountant at a mid-sized firm and has been hired by an investor to make recommendations about fi
local small businesses. These businesses are all in debt, but the investor sees potential in each idea. The investor wom
to know when each company is projected to break even and would prefer companies that will turn a profit with
the next 24 months. The investor secured the expense and revenue reports of each of the businesses to review.
Jami has created linear models to project the Cost and Revenue of each business and now must use the results
finalize her findings. In each equation x represents months. What should her recommendation be? How do
businesses rank?
Cost
Revenue
Blysis
of the evidence
Evidence
Appster
Enrich
(Technology Start-up) (Education Program)
y-13124.3190x y-6941915384x
y-3586x
y-21954x
¡.
Green Team
(Alternate Energy)
y 178420 64421x
y-68419x
Southwest Fusion
(Restaurant)
y-4289115387x
y-13174x
ons and show work.
Zoo to You
(Children's Parties)
y54209539
y-10381x
Conclusion
or Recommendation
e Clark Creative Ex
Answer:
To determine when each company is projected to break even, Jami needs to find the point where the Cost and Revenue equations intersect. This point will represent the month when the business is projected to break even, as the Cost and Revenue will be equal.
Using the given equations, we can set the Cost equation equal to the Revenue equation for each business:
Blysis: -13124.3190x + 3586 = -6941915384x + 21954
Solving for x, we get x = 0.00057 months.
Since this value is extremely small, we can assume that Blysis is already profitable.
Appster: -13124.3190x + 3586 = -6941915384x + 21954
Solving for x, we get x = 0.00057 months.
Since this value is extremely small, we can assume that Appster is already profitable.
Enrich: -3586x - 21954 = -6941915384x + 13174
Solving for x, we get x = 0.0035 months.
Since this value is also very small, we can assume that Enrich is already profitable.
Green Team: 178420.64421x - 68419 = -4289115387x + 13174
Solving for x, we get x = 0.0009 months.
Since this value is extremely small, we can assume that Green Team is already profitable.
Southwest Fusion: -13124.3190x + 4289115387x = 13174
Solving for x, we get x = 35.23 months.
This value indicates that Southwest Fusion is projected to break even in approximately 35 months.
Zoo to You: -13124.3190x + 54209539 = -10381x
Solving for x, we get x = 4.05 months.
This value indicates that Zoo to You is projected to break even in approximately 4 months.
Based on these projections, Jami should recommend Blysis, Appster, Enrich, and Green Team to the investor, as they are already profitable or expected to break even within the next 24 months. Southwest Fusion and Zoo to You may not be as attractive for investment, as they are projected to take longer to become profitable.
Step-by-step explanation:
find the length of the arc
(70 points)
can mark brainly
The calculated length of the arc has a value of 22.34 yards
Finding the length of the arcTo find the length of an arc, we can use the formula:
L = (θ/360) x 2πr
where L is the length of the arc, θ is the central angle in degrees, r is the radius of the circle, and π is approximately 3.14.
In this case, the central angle is 160 degrees and the radius is 8 yards. So we can plug in these values to get:
L = (160/360) x 2π(8)
Evaluate
L = 22.34 yards
Therefore, the length of the arc is approximately 22.34 yards
Read more about arc length at
https://brainly.com/question/14343172
#SPJ1
I need help with this please
Answer:
i think it would be 24 times 6 althought since this is a college question its probably a lot more complex but ill just give it a shot and say its 168.
Step-by-step explanation:
i think its 168 because it woud be 6 more layers of that 24 cube layer so thatd be 6 times 24 which is 144 and then plus the other 24 thats already there it would be 168.
Answer:
144
Step-by-step explanation:
Area= L*W*H
(4*6)*6
24*6=144
A line in the coordinate plane has the equation 5a + b = 7,
where a represents the independent variable, and b
represents the dependent variable. Which of the following is
the equation of a line that is perpendicular to 5a+b=7?
A. b=5a+3
B. b=-5a-5
C. b= (1/5)a-2
D. b=(-1/5)a + 1
Explanation:
I'll use x in place of 'a'
I'll also use y in place of b.
The equation 5a+b = 7 turns into 5x+y = 7
Solve for y to get
5x+y = 7
y = -5x+7
This is in slope-intercept form y = mx+b
m = -5 = slopeb = 7 = y interceptThe negative reciprocal of the slope is 1/5. Flip the fraction and flip the sign. So if -5 is the original slope, then 1/5 is the perpendicular slope.
Of the answer choices, only choice C has a slope of 1/5. Think of b = (1/5)a-2 as y = (1/5)x - 2
Therefore, choice C is the answer.
The equation of a line that is perpendicular to '5a+b = 7' is 'b = (1/5)a + c'. Therefore, the correct option among given choices is 'b = (1/5)a - 2' (option C).
Explanation:To start with, the given line's equation, 5a + b = 7, can be converted to slope-intercept form (b = mx + c), where m represents the slope of line, and 'c' is the y-intercept.
Converting the equation, 5a + b = 7, we get b = -5a + 7. This tells us the slope of our original line is -5.
Lines that are perpendicular to each other have slopes that are negative reciprocals of each other. So, the line perpendicular to the one with a slope of -5 would have a slope of 1/5. Therefore, the equation of a line perpendicular to '5a+b = 7' would be in the form 'b = (1/5)a + c'.
Thus, the correct answer is option C : b = (1/5)a - 2.
Learn more about Perpendicular Line here:https://brainly.com/question/18271653
#SPJ2
Please help Quick!! Will mark Brainliest too!
Answer:
52800 cm^3
Step-by-step explanation:
Given:
Rectangular prism
h = 6 cm (height)
l = 11 m = 1100 cm (length)
w = 8 cm (width)
[tex]v =a(base) \times h[/tex]
[tex]a(base) = l \times w = 1100 \times 8 = 8800 \: {cm}^{2} [/tex]
[tex]v = 8800 \times 6 = 52800 \: {cm}^{3} [/tex]
(pls pls help!!) Calculate each value for ⊙P.
=
Area of shaded factor = (fraction) ft
Area of unshaded factor = (fraction) ft
The area of the shaded sector is 575π/9 square units.
The area of the unshaded sector is 325π/9 square units
What is the area of the sectors?
The value of the angle subtended by the unshaded sector is 130⁰ the value of the angle subtended by the shaded sector is 230⁰.
To find the area of a sector with radius 10 units and angle 230⁰, we can again use the same formula:
Area of sector = (angle/360) x πr^2
Substituting the values given in the formula, we get:
Area of sector = (230/360) x π(10)²
= (23/36) x 100π
= 575π/9 square units
To find the area of a sector with radius 10 units and angle 130⁰, we can use the formula:
Area of sector = (angle/360) x πr^2
Substituting the values given in the formula, we get:
Area of sector = (130/360) x π(10)^2
= (13/36) x 100π
= 325π/9 square units
Learn more about area of sector here: https://brainly.com/question/22972014
#SPJ1
Which statement about a histogram is true?
• A cluster means the frequency is zero.
© If the graph has a cluster, the data is evenly distributed.
© A mirror image of the left and right side of a histogram means there is a peak in the middle
© A peak is a bar that is higher than the other bars around it.
Answer:D) A peak is a bar that is higher than the other bars around it is true.Step-by-step explanation:A histogram is an approximate representation of numerical data distribution.When multiple data points on a number line are close to the same value (or a neighbourhood of values), a cluster arises.A peak is a bar that stands taller than the bars around it. A single peak or plateau is formed when two or more adjacent bars are the same height but are taller than the bordering bars. A gap is a class or classes with frequency 0 on one side but non-zero on the other.
Step-by-step explanation:
The average width of a movie theater seat is 23 inches. Thirty years ago, the typical movie theater seat was approximately 19 inches wide. Current movie theater seats are what percent of a theater seat from 30 years ago?
Thus, the current movie theater seats are 21.05 % of a theater seat from 30 years ago.
Explain about the percentage increase:The change between a final value and even an initial value, presented as a percentage of the starting value, is the percent increase over two values. Subtract the starting value from the ending value to get the percent increase.
Next, divide the difference by the starting amount. In order to convert this value to a percentage, multiply it by 100%. The difference in percentage between the two numbers will be shown in the final result.
Given data:
width of current movie theatre seat = 23 inches.
width of 30 years ago movie theatre seat = 19 inches.
Let x be the percentage increase:
19 + x%19 = 23
1 + x% = 23/19
x/100 = 23/19 - 1
x/100 = 4/19
x = 400/19
x = 21.05 %
Thus, the current movie theater seats are 21.05 % of a theater seat from 30 years ago.
Know more about the percentage increase
https://brainly.com/question/11360390
#SPJ1
Help with math problems
(1) The graph that shows the solution of the inequality 7 ≤ n + 5 is the graph of option A.
(2) Eduardo wrote at least 34 pages before today.
(3) The farmer needs to plant at least 8 rows of seeds to harvest at least 52 bushels of tomatoes.
What is the solution to the inequality 7 ≤ n + 5?The solution to the inequality 7 ≤ n + 5 is as follows:
7 ≤ n + 5
collect similar terms together
7 - 5 ≤ n
2 ≤ n
So we can interpret the result of this inequality as, n is greater than and equal to 2. Hence option A is the correct answer.
2. Let p be the number of pages Eduardo wrote before today. Then, the inequality that represents the situation is:
p + 16 > 50
To solve for p, first subtract 16 from both sides of the inequality:
p + 16 - 16 > 50 - 16
p > 34
Therefore, Eduardo wrote at least 34 pages before today.
3. Let r be the number of rows of seeds the farmer needs to plant. Then, the equation that represents the situation is:
6.5r ≥ 52
divide both sides of the equation by 6.5:
r ≥ 8
Therefore, the farmer needs to plant at least 8 rows of seeds to harvest at least 52 bushels of tomatoes.
Learn more about solutions to inequalities at: brainly.com/question/25944814
#SPJ1
Which choices are equivalent to the quotient below? Check all that apply.
sqrt 75/ sqrt 15
A. sqrt 3
b. 5
c sqrt 15 / sqrt 3
d.sqrt 25 / sqrt 5
e. 15/3
f. sqrt 5
will give brainly to correct answer
The equivalent choices are (A) sqrt 3 and (F) sqrt 5. We can simplify the given quotient by rationalizing the denominator.
To do this, we multiply both the numerator and denominator by the conjugate of the denominator, which is sqrt 15. This gives us:
sqrt 75 / sqrt 15 = (sqrt 75 / sqrt 15) * (sqrt 15 / sqrt 15) = sqrt (75 * 15) / 15 = sqrt 1125 / 15
Now we can simplify the numerator by factoring out perfect squares. We have:
sqrt 1125 = sqrt (225 * 5) = sqrt 225 * sqrt 5 = 15 * sqrt 5
Substituting this back into our expression, we get:
sqrt 75 / sqrt 15 = (15 * sqrt 5) / 15 = sqrt 5
Therefore, the equivalent choices are (A) sqrt 3 and (F) sqrt 5. Choice (B) 5 is not equivalent because it does not have a square root, while (C) sqrt 15 / sqrt 3 and (D) sqrt 25 / sqrt 5 are not equivalent because they are not in simplest form. Choice (E) 15/3 is equivalent to 5 but not to the given expression sqrt 75 / sqrt 15.
Learn more about square root here:
https://brainly.com/question/1387049
#SPJ1
Rasheed signed a 2 year lease. He pays $565 a month. If he wants to move out 6 months early, how much money will he owe when he moves out?
Answer
3390
Step-by-step explanation:
rasheed still owes six months of rent because thats the lease that they signed so 565 times six is 3390. hope this helps.
It the photo at the bottom
Hence the sum of rational expressions is [tex]\frac{9x^2-5x+2}{7x^2-14x}[/tex] option D is correct.
You must be familiar with rational numbers, which are written as p/q. On the other hand, rational expressions are the ratio of two polynomials.
Polynomial expressions must be set equal to zero in order to find the root or zero. But, once the expression has been condensed to its simplest form, we must only set the numerator equal to zero in order to obtain the zeros of rational functions or expressions.
The lowest terms are those in which neither the numerator nor the denominator has any common factors. It is not in the lowest form, like in the case of a fraction, like 2/8. Taking 2 into consideration as a common element will further minimize it. The lowest form is therefore 1/4.
The rational expression is
[tex]\frac{2x-1}{7x}+\frac{x}{x-2}[/tex]
to add expression first take LCM
and cross multiply
[tex]=\frac{(2x-1)(x-2)+7x^2}{7x(x-2)}\\\\=\frac{2x^2-4x-x+2+7x^2}{7x^2-14x}\\\\=\frac{9x^2-5x+2}{7x^2-14x}[/tex]
Hence the sum of a rational expression is [tex]\frac{9x^2-5x+2}{7x^2-14x}[/tex] option D is correct.
learn more about rational expressions,
https://brainly.com/question/17134322
#SPJ1
Select all edges where this rectangle could be added in order to complete the net. Anyone help?
The edges where this rectangle could be added in order to complete the net are edges A, H, E and D.
What is a net shape?The net shape of a rectangular pyramid is a two-dimensional representation of the three-dimensional shape that can be cut out and folded to create the actual pyramid. It consists of a rectangular base and four triangular faces that meet at a single point or vertex.
To create the net shape of a rectangular pyramid, start with a rectangular base and draw four lines from each of the four corners of the base to a single point above the center of the rectangle. These lines should be equal in length and form four congruent triangles.
Learn more on net shapes here: https://brainly.com/question/21727677
#SPJ1
Graph the function and describe the domain and range f(x)=(x-2)(x+4)
The function f(x) = (x-2)(x+4) is a quadratic function that can be written in standard form as f(x) = x^2 + 2x - 8.
To graph this function, we can start by finding the vertex, which is located at x = -b/2a = -2/2 = -1, and then plotting a few additional points to determine the shape of the parabola.
To find the y-coordinate of the vertex, we plug x = -1 into the equation and get f(-1) = (-1)^2 + 2(-1) - 8 = -7. So the vertex is at (-1, -7).
We can also find the x-intercepts by setting f(x) = 0 and solving for x:
(x-2)(x+4) = 0
x-2 = 0 or x+4 = 0
x = 2 or x = -4
So the x-intercepts are at (2, 0) and (-4, 0).
To find the y-intercept, we set x = 0 and get f(0) = (0-2)(0+4) = -8. So the y-intercept is at (0, -8).
Now we can plot these points and sketch the parabola:
```
|
|
|
| *
|
|
------+------------> x
|
|
|
|
|
|
```
The domain of the function is all real numbers, since there are no restrictions on the values that x can take.
To find the range of the function, we can look at the vertex and see that the lowest point on the parabola is at y = -7. Since the parabola opens upward, the range extends from -7 to infinity:
Range: [-7, ∞)
This Took me a long long time
How do I solve those explain it to me please I need help ASAP thanks
A. Fill in the blanks to factor
3x² - 2x + 15x - 10 by grouping.
3x² - 2x + 15x - 10
=____(3x − ___) +___(___ — ____)
=(___+___)(____ — _____)
3x² - 2x + 15x - 10 can be factored by grouping as:
3x² - 2x + 15x - 10
= (3x - 2)(x + 5)
Explanation:
Group the first two terms and the last two terms together:
(3x² - 2x) + (15x - 10)
Factor out the GCF from each group:
3x(x - (2/3)) + 5(3x - 2)
Now we have a common factor of (3x - 2):
(3x - 2)(x + 5)
Step-by-step explanation:
3x² - 2x + 15x - 10
=x(3x-2)+5(3x-2)
=(x+5)(3x-2)
cos² (x)(1+tan²(x)) = 1, establish the identity
Answer:
see below.
Step-by-step explanation:
Use Trigonometric Expansion.
Verify the following identity:
[tex]cos(x)^2(tan(x)^2+1)=1[/tex]
Write tangent as [tex]\frac{sine}{cosine}[/tex]
[tex]cos(x)^2(\frac{sin(x)}{cos(x)} ^2+1)=1[/tex]
[tex]cos(x)^2(\frac{sin(x)}{cos(x)} ^2+1)=cos(x)^2(\frac{sin(x)^2}{cos(x)^2+1} )[/tex]
[tex](cos(x)^2(\frac{sin(x)^2}{cos(x)^2} +1))=1[/tex]
Put sin(x)^2/cos(x)^2 +1 over the common denominator cos(x)^2 : sin(x)^2/cos(x)^2+1 = cos(x)^2+sin(x)^2 /cos (x)^2:
cos(x)^2(cos(x)^2+sin(x)^2/cos(x)^2)=1
Cancel cos(x)^2 from the numerator to the denominator.
cos(x)^2(cos(x)^sin(x)^2)/cos(x)^2=cos(x)^2(cos(x)^2+sin(x)^2)/cos(x)^2=cos(x)+sin(x)^2:
(cos(x)^2+sin(x)^2=1
Substitute cos(x)^2 + sin (x)^2 = 1:
1 =1
not sure what the answer is but I need the interpets
The x-intercepts of the given expression which is a rational function is calculated to be 0 and the y-intercepts are ±√25.
What does rational function mean?The given expression is a rational function and can be written as the quotient of two polynomials.
The numerator of the rational expression is -x⁷ and the denominator is x²−25. The numerator is a degree 7 polynomial and the denominator is a degree 2 polynomial.
To find the x-intercepts, we need to set the numerator equal to zero and solve for x.
-x⁷ = 0
x⁷ = 0
x = 0
To find the y-intercepts, we need to set the denominator equal to zero and solve for x.
x²−25 = 0
x² = 25
x = ± √25
Therefore, the x-intercepts of the given expression are 0 and the y-intercepts are ± √25.
For more questions related to intercepts
https://brainly.com/question/24212383
#SPJ1
Question :
Find the intercepts of the given function.
y = (-x⁷)/(x²−25)