[tex]g = \frac{x}{5} - \frac{6}{5x} - \frac{3}{5} [/tex]
Step-by-step explanation:
[tex]3 + 5g = \frac{ {x}^{2} - 6 }{x} \\ 5g = x - \frac{6}{x} - 3 \\ g = x - \frac{ \frac{6}{x} - 3}{5} \\ g = \frac{x}{5} - \frac{ \frac{6}{x} }{5} - \frac{3}{5} [/tex]
5x-7≥8
This is a 2-step inequality: solve for x
your work by listing each step of the
process.
Answer:
x≥3
Step-by-step explanation:
Let's solve your inequality step-by-step. 5x−7≥8
Step 1: Add 7 to both sides.
5x−7+7≥8+7
= 5x≥15
Step 2: Divide both sides by 5.
5x/5≥15/5
= x≥3
pls answer asap, thanks!!
Since the amount is compounded monthly, the amount would triple after 26 months
Since the money is compounded monthly, we use the compound interest formula
How to calculate compound interestThe amount obtained on compound interest is given by A = P(1 + r)ⁿ where
P = present value, r = interest rate and n = timeNow, since you deposit an amount of $1000 at an interest rate of 3.15 % per year compounded monthly and an extra $75 added monthly after n month, the amount is A = A' the amount compounded monthly + the extra amount monthly A"
Amount compounded monthly
Since A' = P(1 + r)ⁿ where
P = initial amount = $1000, r = interest rate = 3.15 %/12 (since it is compounded monthly) = 0.002625 and n = number of monthsSo, A' = P(1 + r)ⁿ
= 1000(1 + 0.002625)ⁿ
= 1000(1.002625)ⁿ
Extra amount added monthly
Also, since $75 is added monthly, after n months, A" = 75n
Total amount after n months
So, the total amount added is A = A' + A"
= 1000(1.002625)ⁿ + 75n
Time for amount to tripleSince we require the time when the initial amount would triple, so, A = 3A'
= 3 × 1000
= 3000.
So,
A = 1000(1.002625)ⁿ + 75n
3000 = 1000(1.002625)ⁿ + 75n
3000 - 75n = 1000(1.002625)ⁿ
The solution of the above equation is obtained graphically. Find the graph in the attachment. They intersect at (25.736, 1069.797)
So, n = 25.736
≅ 26 months
So, the amount would triple after 26 months
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Sean spends 35 minutes revising for his exam. Erica spends 1 hours 15 minutes revising for her exam. Work out the total time, in minutes, spent revising by Sean and Erica. please help ASAP
The total time spent in minutes is 110 minutes
How to determine the total time?The given parameters are:
Erica = 1 hour, 15 minutesSean = 35 minutesThe total time is calculated as:
Total = Erica + Sean
So, we have:
Total = 1 hour, 15 minutes + 35 minutes
1 hour = 60 minutes
So, we have:
Total = 60 minutes + 15 minutes + 35 minutes
Evaluate the sum
Total = 110 minutes
Hence, the total time spent is 110 minutes
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Which angle in the figure is a right angle?
A. ∠STU
B. ∠TSR
C. ∠TUS
D. I don't know.
Answer:
∠TUS I'm pretty sure because t and u make a right angle
I need help asap please? and this is for math? what is the missing angle of the triangle? the 2 angles are 55 and 90!!
Answer:
the missing angle of the triangle is 35
Step-by-step explanation:
180-90= 90-55= 35
Answer:
i agree with losesight57
Step-by-step explanation:
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.
Answer:
The sine of the angle = the length of the opposite side. the length of the hypotenuse.
The cosine of the angle = the length of the adjacent side. the length of the hypotenuse.
The tangent of the angle = the length of the opposite side. the length of the adjacent side.
Step-by-step explanation:
Answer:
c = a√2
Step-by-step explanation:
Apply the 45º-45º-90º Triangle Theorem to find the length of the hypotenuse of the triangle.
since there is no measure, I will write you the formula:
c (hypotenuse) = a√2
A cylinder has a height of 4 meters and a radius of 1.5 meters. What is the approximate radius of a sphere that has the same surface area
as the cylinder?
OA. 2.0m
OB. 4.1 m
O c. 1.7m
OD. 2.9 m
If the surface area of the cylinder is 12π square meters. Then the radius of the sphere will be 1.7 meters.
What is a cylinder?A cylinder is a closed solid that has two parallel circular bases connected by a curved surface.
A cylinder has a height of 4 meters and a radius of 1.5 meters.
Then the approximate radius of a sphere that has the same surface area as the cylinder.
We know that the Surface area of the cylinder will be is given as
Surface area = 2πrh
Surface area = 2 x π x 1.5 x 4
Surface area = 12π square meters
Then we have
Surface area of sphere = surface area of cylinder
4πr² = 12π
r² = 3
r = 1.7 meters
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Answer:
2.0 m
Step-by-step explanation:
A. 2.0 m
can someone help me with theses answers and a explanation
The arrangement of the numbers in the ascending order will be 11, 13, and 17.
The complete question is given below.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Ali picked a three number from a hat.
The lowest number was 11.
The range was 13.
The median was 17.
The arrangement of the numbers in the ascending order. Then we have,
11, 13, and 17.
The arrangement of the numbers in the ascending order will be 11, 13, and 17.
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someone help me.............asap
Answer:
14 rides
Step-by-step explanation:
if she wants to spend less than 35 then we can subtract the initial 6$ fee wich gives her 29$ left and the most 2 can go into 29 is 14 because 14x2 is 28 leaving her with 1 dolar left which means she didnt spend 35$!!
If f(x) = 16x – 30 and g(x) = 14x – 6, for which value of x does (f – g)(x) = 0?
The value of the x will be 12. The value of the x is obtained from the condition,(f – g)(x) = 0
What exactly is a function?A function is a statement, rule, or law that specifies the connection between two variables. Functions are common in mathematics and are required for the formulation of physical connections.
Given function;
f(x) = 16x – 30
g(x) = 14x – 6
⇒(f – g)(x) = 0
⇒(16x – 30)-(14x – 6)=0
⇒16x-30-14x+6=0
⇒2x-24=0
⇒x=24/2
⇒x=12
Hence, the value of the x will be 12.
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Which function has the following characteristics?
D
A vertical asymptote at x = 3
●
A horizontal asymptote at y = -1/2
Using the asymptote concept, the function with a vertical asymptote at x = 3 and an horizontal asymptote at [tex]y = -\frac{1}{2}[/tex] is given by:
[tex]f(x) = -\frac{x}{2(x - 3)}[/tex]
What are the asymptotes of a function f(x)?The vertical asymptotes are the values of x which are outside the domain, which in a fraction are the zeroes of the denominator.The horizontal asymptote is the value of f(x) as x goes to infinity, as long as this value is different of infinity.The vertical asymptote at x = 3 means that x = 3 is a root of the denominator, hence:
[tex]f(x) = \frac{g(x)}{x - 3}[/tex]
The horizontal asymptote at y = -1/2 means that:
[tex]\lim_{x \rightarrow \infty} f(x) = -\frac{1}{2}[/tex]
Which happens if [tex]g(x) = -\frac{x}{2}[/tex], hence the function is:
[tex]f(x) = -\frac{x}{2(x - 3)}[/tex]
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Select all the correct answers.
Which expressions represent a quadratic expression in factored form?
x²-x-72
(x+3)(x-7)
-8(x + 56)
(x + 1)(x - 2)
(x-2) + (x + 3)
Answer:
(x + 3)(x - 7)
(x + 1)(x - 2)
Step-by-step explanation:
The general form of factored equations :
y = (x + a)(x + b) [it can be ±, so don't worry about that part]
===============================================================
Hence, the expressions which are in factored form :
⇒ (x + 3)(x - 7)
⇒ (x + 1)(x - 2)
Indicate the most appropriate if-then statement that the english sentence represents: people 18 or older can vote in a federal election
The most appropriate if-then statement that the english sentence represents is: B. If a person is 18 years old or older, then the person can vote in Federal elections.
What is Federal Election?
Federal election can be defined as the way in which a person vote for a preferred.
For a person to be eligible to vote during election, such person must be 18 years old or older.
The if -then statement is: If a person is 18 years old or older, then the person can vote in Federal elections.
Therefore the correct option is B.
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Which value of y forms the solution of the systems defined by y=11x+1 and 11x+12y=12
A. 1
B. 1/13
C. 11
D. 11/13
Answer:
b because it can't be full number
Pls help I literally have no clue what this means
Find the missing number based on the description
below:
“12 less than 7 times a number is the same as 32 less than the product of -3 and the number”
A.-5
B.10
C.-2
D.-1
Answer:
I think the answer is c -2
Step-by-step explanation:
but don't quote me on that and if it's wrong i truly am sorry
Answer:
Step-by-step explanation:
If triangle ABC has vertices A(1, 2), B(-1, -1), and C(0, -2), which of the following coordinates is B’ of the dilation using the scale factor 4?
Answer: B'(-4, -4)
Given : A(1, 2), B(-1, -1), C(0, -2)
"Focusing on B coordinates"
If the points are dilated with a scale factor of 4
Then new coordinates : (-1, -1) × 4 = B'(-4, -4)
Answer:
B' = (-4, -4)
Step-by-step explanation:
Dilation: A type of transformation that makes the pre-image larger or smaller without changing its shape.
Center of a dilation: a fixed point about which all points are dilated.
Given:
A = (1, 2)B = (-1, -1)C = (0, -2)Scale factor = 4For dilation when the center of dilation is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)
A right triangle has a hypotenuse of 14 inches and another side that is 12 inches. What is the length of the missing side of the triangle?
Answer:
7.2111
Step-by-step explanation:
14 squared times 12 squared= squareroot ofmissing angle
Write an equation for the function whose graph is the shape of f(x) = x2, but shifted three units to the lef
9₁(x) =
Write an equation for the function whose graph is in the shape of g₁(x), but shifted five units up.
9₂(x) =
Write an equation for the function whose graph is in the shape of g₂(x), but reflected in the x-axis.
93(x)
The equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)², (x + 3)² + 5, and -[(x + 3)² + 5] respectively.
What is a function?It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.
We have a function:
f(x) = x²
We have:
g₁(x) which is a transformed function of f(x)
f(x) shifted three units to the left.
Plug x → (x + 3)
g₁(x) = (x + 3)²
Similarly,
Equation for the function whose graph is in the shape of g₁(x), but shifted five units up.
g₂(x) = (x + 3)² + 5
Equation for the function whose graph is in the shape of g₂(x), but reflected in the x-axis.
g₃(x) = -[(x + 3)² + 5]
Thus, the equation for the functions g₁(x), g₂(x), and g₃(x) are (x + 3)², (x + 3)² + 5, and -[(x + 3)² + 5] respectively.
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Anton is drawing a flag of switzerland, which has a square shape, for a school project. if he wants the flag to have sides that are 16 inches long, what will be the area of the completed flag? 64 inches squared 128 inches squared 256 inches squared 512 inches squared
Considering the side length, the area of the complete square flag will be of 256 inches squared.
What is the area of a square?The area of a square of side length l is given by l squared, that is:
A(l) = l².
In this problem, we have that l = 16 inches, hence the area in square inches is given by:
A(16) = 16² = 256.
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100 points and brainlyest !!! ONLY ANSWER IF U KNOW THE ANSWER !!!
Answer:
Step-by-step explanation:
A” (-2,2)
B” (-1,-2)
C” (-4,-4)
Answer:
A''(-1,5)
B''(0,1)
C''(-3,7)
Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your calculations in your explanation.
The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.
In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be
[tex]\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}[/tex]
where G is a random variable taking on one of two values (male or female).
a) At what percent rate of compound interest per annum will the compound interest on Rs 1,25,000 be Rs 91,000 in 3 years?
The rate of compounding on the investment is 20%.
What is the rate of compounding?
When an amount compounds annually, it means that both the amount invested and the interest accrued increases in value once a year.
The formula that can be used to determine the rate of compounding is: (FV / PV)^(1 /n)
Where:
FV = future value = 125,000 + 91,000 = 216,000PV = present value = 125000n = number of years - 3(216,000 / 125000)^ (1 / 3) - 1 = 20%
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Mathematics
height=1cm,base=√5cm.what is the area of isosceles triangle?
Step-by-step explanation:
what is the formula for the area of a triangle ? hmm ?
area = baseline × height / 2
in our case (it does not matter for this question, if it is an isoceles triangle or not, the formula applies to all)
area = sqrt(5) × 1 / 2 = sqrt(5)/2 cm² = 1.118033989... cm²
Answer:
[tex]\huge\boxed{\sf Area = 1.12 \ cm^2}[/tex]
Step-by-step explanation:
Given data:Height = h = 1 cm
Base = b = √5 cm
Required:Area = A = ?
Formula:[tex]\displaystyle Area = \frac{1}{2}(b)(h)[/tex]
Solution:[tex]\displaystyle Area = \frac{1}{2} (\sqrt{5} )(1)\\\\Area = \frac{\sqrt{5} }{2} \\\\Area = 1.12 \ cm^2\\\\\rule[225]{225}{2}[/tex]
A figure is contained completely in Quadrant III of the coordinate plane. After applying the composition Ro.-90° ry to the figure, in which quadrant does the image lie?
The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates. The correct option is C.
What is transformation?The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.
The meaning of Ro.-90° ry, is that the figure is reflected across the y-axis, and then rotated about the origin by 90° in the clockwise direction, therefore, the figure will again lie in the third quadrant.
Hence, the correct option is C.
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Question:
A circular frame has a diameter of 10 inches. Identify the area of the mirror that the frame
can hold. Use 3.14 for TT.
The frame can hold a mirror with an area of 78.5 in².
How to find the area?
The area for a circle of diameter D is given by the formula:
[tex]A = pi*(D/2)^2[/tex]
Where pi = 3.14
Here we know that the diameter is 10 inches, replacing that in the area equation we can get:
[tex]A = 3.14*(10in/2)^2 = 3.14(5in)^2 = 78.5 in^2[/tex]
So the frame can hold a mirror with an area of 78.5 in².
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what is the surface area of a sphere that has a volume of 3000cm
The surface area of the sphere given its volume is 1006.06 cm².
What is the surface area?The first step is to determine the radius of the sphere from its volume.
Volume of a sphere = (4/3) x (n) x (r^3)
n = 22/7r = radius∛(3000 x 3/4 x 7/22) = 8.95
Surface area of a sphere = 4πr²
4 x 8.95² x 22/7 = 1006.06 cm²
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Which statement best describes the polynomial?
-24x7-12x²-9x+6
OIt is in standard form because the exponents are in order from highest to lowest.
OIt is in standard form because the coefficients are in order from highest to lowest.
OIt is not in standard form because the constant should be the first term.
OIt is not in standard form because it can be further simplified.
It is in standard form because the exponents are in order from highest to lowest.
The given polynomial is [tex]-24x^{7} -12x^{2} -9x+6[/tex].
We need to determine from the given statements, which statement best describes the given polynomial.
What is the standard form of the polynomial?The highest degree of terms is written first, followed by the next degree, and so on, to represent a polynomial in standard form. The standard form of the polynomial is [tex]f(x)=a_{n} x^{n} +a_{n-1} x^{n-1}+a_{n-2} x^{n-2} +........a_{1}x+a_{0}[/tex].
So, in the given polynomial [tex]-24x^{7} -12x^{2} -9x+6[/tex], the exponents of the variable are in decreasing order.
Therefore, it is in standard form because the exponents are in order from highest to lowest.
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I'm not good at time questions can someone help me?
Randy should begin his homework by 07:10 in order to sleep by 10:00
How to determine the time to start the homework?The given parameters are:
Social studies = 45 minutesScience = 40 minutesMath = 1 hour and 15 minutesBed preparation = 10 minutesIf the above activities are done, the time spent would be:
Time = 45 minutes + 40 minutes + 1 hour and 15 minutes + 10 minutes
Add the time
Time = 2 hour and 50 minutes
He wants to go to bed by 10:00.
So, the time to begin his homework is:
Begin = 10:00 - 2 hour and 50 minutes
Evaluate the difference
Begin = 07:10
Hence, Randy should begin his homework by 07:10
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Which equation is represented by the graph below?
Answer:
1
Step-by-step explanation:
this is becasue the slope is positive
Two random samples were taken to determine how often people in a community listen to the local radio station each month.
The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20.
The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12.
Which statements are true? Check all that apply.
The true statements about the sample include:
The second sample is random.The second sample is likely to be more representative of the population.The second sample will give a better representation because is it larger.Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.What is a sample?
Sampling is the selection of a subset of individuals from within a statistical population to estimate the characteristics of the whole population.
The second sample is random because in the second sample, people were surveyed at random. Every sixth person that exited the grocery store was surveyed and this selection represents an unbiased sampling method of the general population.
The options include:
Which statements are true? Check all that apply.
A) The second sample is random.
B) The second sample is likely to be more representative of the population.
C) The first sample is likely to be more representative of the population.
D) The second sample will give a better representation because is it larger.
E) The first sample will give a better representation because it is smaller.
F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
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