simplify the square root of 27x^12/300x^8
Answer:
3/10 x^2
Step-by-step explanation:
Expressed powers are those that aref(x) = 5x + 3; g(x) = 6x - 5 Find f/g. (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ Five over six. } (f/g)(x) = Quantity five x plus three divided by six x minus five. domain {x|x ≠ Three over five } (f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. } (f/g)(x) = Quantity six x minus five divided by five x plus three. domain {x|x ≠ - Three over five. }
Answer:
(f/g)(x) = Quantity five x plus three divided by six x minus five.domain {x|x ≠ Five over six. }
Step-by-step explanation:
Given functions,
[tex]f(x)=5x+3[/tex]
[tex]g(x) =6x-5[/tex]
[tex](\frac{f}{g})(x)=\frac{f(x)}{g(x)}[/tex]
[tex]=\frac{5x+3}{6x-5}[/tex] ( By substitution )
Let [tex]h(x)=\frac{5x+3}{6x-5}[/tex]
Which is the rational function,
Since, a rational function is defined for all real number except those for which denominator = 0,
[tex]6x-5=0[/tex]
[tex]6x=5[/tex]
[tex]x=\frac{5}{6}[/tex]
Thus, h(x) is defined on all real numbers except 5/6,
Hence, domain of [tex]\frac{f}{g}(x)[/tex] is {x| x ≠ [tex]\frac{5}{6}[/tex] }
A student's home is 3.25 miles from the school. A soda shop is located 900 feet farther down the road from the school. What is the total distance from the student's home to the soda shop?
Answer:
18060
Step-by-step explanation:
.
If a fictional shrinking man shrinks proportionately to 1/10 his original height, his weight will be multiplied by
The final weight will be reduced by 1/10 of its original weight.
What is equation modelling? What is a mathematical equation and expression?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.Given is a fictional shrinking man shrinks proportionately to 1/10 his original height.
Assume the weight to be [W]. Then -
W = mg
m = ρV {ρ is density}
Then -
W = ρVg
Assume the body to be cylinder of radius [r] and height [h], we can write-
W = πr²ρgh
Than, the initial weight will be -
W = πr²ρgh
After Shrinking -
W' = πr²ρgh/10
Then -
W'/W = {πr²ρgh/10}/{πr²ρgh}
W'/W = πr²ρgh/10 x 1/πr²ρgh
W'/W = 1/10
W' = W/10
Therefore, the final weight will be reduced by 1/10 of its original weight.
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Which triangle is a regular polygon? A) All triangles B) An equiangular triangle C) 45°- 45° - 90° triangle D) 30°- 60° - 90° triangle
Answer:
its B
Step-by-step explanation:
Help me please y’all
To solve for the inverse of a function, you have to interchange the variables x and y and solve for the value of y in terms of x:
F(x) = 5x/3 + 5
y = 5x/3 + 5
Interchange x and y:
x = 5y/3 + 5
Solve for the value of y in terms of x:
x – 5 = 5y/3
5y = 3 (x – 5)
y = 3 (x -5) / 5
f^-1 (x) = 3 (x -5) / 5
What is the measure of angle S?
laura budgets $54 each month for annual expenses. she nets $1820 semimonthly. what percent of her net monthly income does she budget for annual expenses?
1%
3%
6%
8%
Which rotation about its center will carry a regular decagon onto itself? 1) 54° 2) 162° 3) 198° 4) 252°?
Sonya has four straws of different lengths: 2cm,8cm,14cm,and 16cm. How many triangles can she make using the straws?
There is no way to make a triangle with numbers 2,8,14, nor 2,8,16, nor 2,14, and 16. Using 6, 14, and 16 straws, you can form a triangle.
I'm guessing you're not supposed to stick any one of the straws together. Kindly see the accompanying document for more information. As a result, B is represented by one triangle. All two sides add up to more than the third side. As a result, the difference between the two sides is less than the difference between the first and third sides.Therefore, the final answer is "one triangle".
Learn more:
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Marge orders the following items and would like to leave a 20 percent tip based on her bill. There is no tax on her meal. What is the total cost of her dinner including gratuity? Item Amount Soup $3.75 Shrimp scampi $15.00 Iced tea $2.60 Dessert $4.25.
Answer:
The total cost of her dinner including tip would be $30.72
Step-by-step explanation:
Marge orders the following items on her meal.
Soup = $3.75
Shrimp scampi = $15.00
Iced tea = $2.60
Dessert = $4.25
The total cost of her dinner including gratuity is
3.75 + 15.00 + 2.60 + 4.25 = $25.60
She would like to leave a 20% tip based on her bill
Therefore, 20% of $25.60
= 0.20 × 25.60 = $5.12
Now add this tip amount to the bill amount.
$25.60 + $5.12 = $30.72
The total cost of her dinner including tip would be $30.72
the sum of 4 times a number and -5 added to 9 times number
Please Help!!!
(x-3)^2/64 + (y+5)^2/100 = 1
a. Identify the coordinates of the center of the ellipse.
b. Find the length of the major and minor axes.
c. Find the coordinates of the foci.
d. Graph the ellipse. Label the center and foci.,
Use the answer from the previous task to determine P(z < −2.1).
0.01790.58320.98211
Answer:
A on Edg :)
Step-by-step explanation:
Using the normal distribution, it is found that P(z < −2.1) = 0.0179.
Normal Probability DistributionThe z-score of a measure X in a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure X is from the mean, if it is positive above the mean, if it is negative below. After finding the z-score, the z-score table gives the p-value of this z-score, which is the percentile of the measure X.From the z-table, we have that Z = -2.1 has a p-value of 0.0179, hence P(z < −2.1) = 0.0179.
More can be learned about the normal distribution at https://brainly.com/question/24663213
Find the area of this trapezoid. All length measures are in centimeters.
Company A can produce 100 CPUs in 3 days while Company B can produce 150 CPUs in 4 days. If the two companies join forces, how many days would it take them to produce 1000 CPUs?
Answer: They would need 15 days
Step-by-step explanation:
The data is:
Company A produce 100 CPUs in 3 days, so the rate per day is:
Ra = 100/3 CPUs per day: 33.33 CPUs per day.
Company B produce 150 CPUs in 4 days, then it produces:
Rb = 150/4 = 37.5 CPUs per day.
Then, if both companies work toggeter, they produce
Ra + Rb = 33.33 + 37.5 CPUs per day = 70.83 CPUs per day.
We want to know the number X of days needed to make 1000 CPUs, then we need to solve:
70.83*X = 1000
X = 1000/70.83 = 14.11 days, we could round it up to 15 days if we want to have a whole number.
1. 16y + 0 = 16y
Associate Property of Addition
Zero Property of Multiplication
Commutative Property of Addition
Identity Property of Addition
2. d • r = r • d
Commutative Property of Multiplication
Identity Property of Multiplication
Zero Property of Multiplication
Commutative Property of Addition
3. 27a • 0 = 0
Associative Property of Multiplication
Commutative Property of Multiplication
Zero Property of Multiplication
Identity Property of Multiplication
4. 16x + 5y = 5y + 16x
Commutative Property of Addition
Zero Property of Addition
Ident
Using your knowledge of circles, label the following on the given diagram: chord, tangent, radius, secant, point of tangency and diameter. Name a minor arc and a major arc.
Select the situation in which one quantity is changing at a constant rate in relation to the other quantity.
Barry spends $9 on lunch daily.
The market value of a new computer decreases by 6% every year.
Nathan's investments increase in value by 13.5% each month.
The number of ants in a colony doubles every 8 weeks.
Find the sum of the measures of the interior angles of a convex 14-gon.
Final answer:
The sum of the interior angles of a convex 14-gon is calculated using the formula (n - 2) × 180°, which equals 2160°.
Explanation:
The sum of the interior angles of any polygon can be found using the formula (n - 2) × 180°, where n is the number of sides. For a convex 14-gon, we plug in 14 for n in the formula to find the sum:
sum of all interior angles = (n-2)x180, n being the number of sides.
Sum = (14 - 2) × 180°
Sum = 12 × 180°
Sum = 2160°
This calculation shows that the sum of the interior angles of a convex 14-gon is 2160 degrees.
Hi could u plz help me anyone please
f(x) = x3 - 3x2 + 4 = 0 For the equation given, 2 has a multiplicity of? 1, 2, 3
In a drawing of the solar system, the scale is 1 mm = 500 km. for a planet with a diameter of 6,000 km, what should be the diameter of the drawing of the planet?
12 mm
120 mm
6,000 mm
3,000,000 mm
Please show me the steps on how to do this.
Find the angle of elevation of the sun from the ground to the top of a tree when a tree that is 10 yards tall casts a shadow 14 yards long. Round to the nearest degree.
I'm learning about vectors right now.
Options:
o 54 degrees
o 36 degrees
o 46 degrees
o 44 degrees,
Describe the following sequence as arithmetic, geometric or neither.
2, 4, 6, 12, 14. . . .
I think it's arithmetic because it's +2, but then there's 6 to 12 and that's +6, but then it's back to +2 when it goes to 12 to 14.,
Two sides of a triangle have lengths 5 in. and 16 in. Describe the possible lengths of the third side.
5 < x < 21
5 < x < 16
16 < x < 21
11 < x < 21
Can you construct a triangle that has side lengths 11 cm, 12 cm, and 15 cm?
no
yes
Answer:
11 < x < 21
Yes
Solve by factoring. 5. X2 +11x + 10 = 0 6. X2 + 4x -32 = 0 7. 2x2 -21x -36 = 0 8. 3x2 + x -14 = 0 9. x2 – 4x =21 10. 2x2 -11x =-12
Three fourths of the students in class said they like word problems . If fewer than 30 students said they like word problems , how many students are there ?
Mark went to the store and spent a total of $18.90. What is the cost of 5 items is if one item cost $2.95?
Each square on the grid represents 1 yd². What is the approximate area of this pond? A. about 10 yd² B. about 15 yd² C. about 20 yd² D. about 25 yd².