Answer:
28/15
Step-by-step explanation:
17/5 x 2/3 28/15
Answer:
The answer is 34/15
Step-by-step explanation:
Convert the mixed number to an improper fraction - 17/5Then multiple 17/5 and 2/3 and you get 34/15If you don't know how to change mixed numbers you multiple the denominator and the number on the outside. After you get the answer you add the numerator to the sum.
find the area use 22/7 for π
Answer:
~201
Step-by-step explanation:
Use the area formula: \(A=\pi r^2\)
22/7 x 64 = 201.14
which rounds to 201
Round 2,034,627,105 to the nearest ten thousand.
Answer:
Heyaa!! My name is Pinky and i'm here to inform you that you're answer is...
Step-by-step explanation:
!!! 2,034,630,000 !!!
My calculations are:
You first look at the ten thousands place which is 27,105 and if you look to the right of the 2,
you see 7.5 and up round up 4 and down round down.
7 is 5 and up so, you round up to 2,034,630,000!!
Have a Nice Day!!
~Pinky~
Ali has invited 18 adults and 6 children to a cookout.
Mo, Ali’s best friend, suggests that Ali seat an equal number of adults and an equal number of children at each table.
What is the greatest number of tables Ali could use? How many adults and how many children would be seated at each table? Explain.
Answer:
Ali could use 6 tables. There would be 3 adults
and 1 child seated at each table.
Step-by-step explanation:
GCF to find the number of tables:
18: 1, 2, 3, 6 , 9, 18;
6: 1, 2, 3, 6 .
In the standard form of a circle (x-h)^2+(y-k)^2=r^2(x−h)
2
+(y−k)
2
=r
2
, which of the following represents the center of the circle?
My bill at the hair salon came to $110. If I tip my stylist 20% what will the total bill be
Answer:
I think it would be 132
Step-by-step explanation:
20% of 110=22 (22+110)=132
In the country of Mordor, Y=A∗
∗∗
L
. In the first year, Y=18 and K=4 and L=9 In the second year, Y=26 and K=4 and L=16 What percent of this growth came from higher productivity? Careful: don't calculate the percent that came from inputs, you have to do an extra step once you've done that. If you think the answer was 31%, write 31 , not 31%. If you think the answer is zero, write 0 , not 0.
Approximately 114.29% of the growth came from higher productivity.
To determine the percent of growth that came from higher productivity, we need to compare the change in output (Y) with the change in inputs (K and L). Here's how we can calculate it:
In the first year:
Initial output (Y₁) = 18
Initial inputs (K₁, L₁) = (4, 9)
In the second year:
Final output (Y₂) = 26
Final inputs (K₂, L₂) = (4, 16)
Change in output = Y₂ - Y₁ = 26 - 18 = 8
Change in inputs = (K₂ + L₂) - (K₁ + L₁) = (4 + 16) - (4 + 9) = 7
Now, let's calculate the percent of growth that came from higher productivity:
Percent of growth from higher productivity = (Change in output / Change in inputs) * 100
= (8 / 7) * 100 ≈ 114.29
Therefore, approximately 114.29% of the growth came from higher productivity.
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In The Country Of Mordor, Y = AVK* VL . In the first year, Y=18 and K=4 and L=9 In the second year, Y=26 and K=4 and L=16 What percent of this growth came from higher productivity? Careful: don't calculate the percent that came from inputs, you have to do an extra step once you've done that. If you think the answer was 31%, write 31 , not 31%. If you think the answer is zero, write 0 , not 0.
What is m PLEASE help me!
Answer:
104
Step-by-step explanation:
8x = 7x + 13
x = 13
m<U = 7(13) + 13 = 91 + 13 = 104 degrees
A PLEASE HELP ASAP
Lira Massimi has just opened a retirement savings account with an initial investment of $2000. She hopes that the account will be worth 310000 when she retires in twenty years. Lira will not make any further
investments in the
withdrawals from the account until it is worth $10000. The interest is compounded continuously at
8.0% annually. You need a calculator for the next three questions.)
17. Suppose that the interest rate for the account is 8.0% , compounded continuously.
How much will be in the account in exactly twenty years? (Nearest cent)
18. How long will it take for Lira's investment to double if the interest rate is
8.0% , compounded continuously? Write answer correct to the nearest hundredth
year.
The amount in the account after 20 years is $49530.32.
What is continuous compounding?
There is no cap on how frequently interest can compound thanks to continuous compounding. A balance can compound continuously an infinite number of times, which means interest is earned on it constantly.
Given:
Lira will not make any further investments in the withdrawals from the account until it is worth $10000.
Suppose that the interest rate for the account is 8.0% , compounded continuously.
We have to find the amount in the account after 20 years.
Consider, the compounded continuously formula
\(P(t)= P_0e^r^t\)
Where
P(t) = Value at time t.
\(P_0\) = Original principle sum = $10,000
r = Interest rate = 8.0% = 0.08
t = time in years = 20
Plug the values in the above formula
\(P(t) = 10000e^0^.^0^8^*^2^0\\P(t) = 49530.32\)
Hence, the amount in the account after 20 years is $49530.32.
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There are 5 red apples and 2 green apples in a bowl. Which phrase describes a ratio relationship between the two quantities?
Answer:
5:2
Step-by-step explanation:
This means there are 5 red apples as long as there are 2 green apples.
A research center poll showed that 85% of people believe that it is morally wrong to not report all income on tax returns. What is the probability that someone does not have this belief? The probability that someone does not believe that it is morally wrong to not report all income on tax returns is (Type an integer or a decimal.)
The probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
For given question,
A research center poll showed that 85 percent of people believe that it is morally wrong to not report all income on tax returns.
so, the probability that someone have this belief is P = 0.85
We know that in probability,
p = 1 - q
where;
p is probability of success
q is probability of failure.
Thus the probability that someone does not have this belief would be,
= 1 - P
= 1 - 0.85
= 0.15
Therefore, the probability that someone does not believe that it is morally wrong to not report all income on tax returns is = 0.15
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Assistance woukd be much apreaciated, match determine the single unit (ex; find out if t=4), then find the equation used to solve it.
Step-by-step explanation:
1.
use equation 1
vf = vi + a×t = 5.2 + 2.3×7 = 21.3 m/s
deltax (displacement) not needed
vi = 5.2 m/s
vf = 21.3 m/s
a = 2.3 m/s²
t = 7 s
2.
use equation 4.
vf² = vi² + 2×a×deltax
47² = vi² + 2×4.7×150
2209 = vi² + 1410
vi² = 799
vi = 28.26658805... m/s
deltax = 150 m
vi = 28.26658805... m/s
vf = 47 m/s
a = 4.7 m/s²
t not needed
3.
use equation 2.
deltax = (vf + vi)×t/2
228 = (3.15 + 3.15)×t/2
456 = 6.3×t
t = 456/6.3 = 72.38095238... s
deltax = 228 m
vf = 3.15 m/s
vi = 3.15 m/s
a not needed
t = 72.38095238... s
4.
use equation 5.
deltax = vf×t - 1/2 × a×t²
897 = 0×15.5 - 1/2 × a×15.5² = -1/2 ×a×240.25 = a×-120.125
a = 897/-120.125 = -7.467221644... m/s²
deltax = 897 m
vi not needed
vf = 0 m/s
a = -7.467221644... m/s²
t = 15.5 s
Gazelle vs. Lion.
use equation 2.
deltax = (vf + vi)×t/2
deltax = (18.4 + 0)×3.09/2 = 18.4×3.09/2 =
= 9.2×3.09 = 28.428 m
deltax = 28.428 m
vi = 0 m/s
vf = 18.4 m/s
a not needed
t = 3.09 s
A (tiny) library has 5 history texts, 3 sociology texts, 6 anthropology texts and 4 psychology texts. Find the number of ways a student can choose:
Thus, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.
To find the number of ways a student can choose from the given library, we need to use the formula for combinations.
The formula for combinations is:
nCr = n! / r!(n-r)!
where n is the total number of items, r is the number of items to be chosen, and ! denotes factorial.
Let's consider the different ways a student can choose:
1. Choosing one book from any category:
Total number of books = 5+3+6+4 = 18
n = 18, r = 1
Number of ways = 18C1 = 18! / 1!(18-1)! = 18
2. Choosing two books from any category:
n = 18, r = 2
Number of ways = 18C2 = 18! / 2!(18-2)! = 153
3. Choosing three books, one from each category:
For this, we need to choose one book from each category, and the order of selection does not matter.
n1 = 5, r1 = 1 (for history)
n2 = 3, r2 = 1 (for sociology)
n3 = 6, r3 = 1 (for anthropology)
n4 = 4, r4 = 1 (for psychology)
Number of ways = (5C1 x 3C1 x 6C1 x 4C1) = (5 x 3 x 6 x 4) = 360
Therefore, there are 18 ways to choose one book, 153 ways to choose two books, and 360 ways to choose three books, one from each category.
In summary, a student can choose:
- 18 ways to choose one book
- 153 ways to choose two books
- 360 ways to choose three books, one from each category
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Use the vertex ( h, k ) and a point on the graph ( x, y ) to find the standard form of the equation of the quadratic function:
Vertex = (1,-5)
Point = (5,-7)
G( x )= Answer field 1
(x- Answer field 2
)^2 +Answer field 3
The standard form of the equation of the quadratic function is y = -1/8x^2 + 1/4x - 41/8
How to find the standard form of the equation of the quadratic functionFrom the question, we have the following parameters that can be used in our computation:
(h, k) = (1, -5)
(x, y) = (5, -7)
A quadratic function is represented as
y = a(x - h)^2 + k
So, we have
y = a(x - 1)^2 - 5
Given that
(x, y) = (5, -7)
We have
-7 = a(5 - 1)^2 - 5
This gives
16a = -2
So, we have
a = -1/8
Recall that
y = a(x - 1)^2 - 5
So, we have
y = -1/8(x - 1)^2 - 5
Expand
y = -1/8(x^2 - 2x + 1) - 5
This gives
y = -1/8x^2 + 1/4x - 41/8
So, the required equation is y = -1/8x^2 + 1/4x - 41/8
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Please help will give brainliest
Answer:
another one ayy ok let me think
Step-by-step explanation:
b
Answer:
I believe is A
Step-by-step explanation:
20/4=5
4/4=1
because the ratio is friends to fluid ounces the answer would be 1:5
Mr. Morgan earns $42,000 a year as a teacher. The state
income tax rate is 2.6% of taxable income and he has $3,600 in
personal exemptions (not taxable). How much is deducted from
his biweekly paycheck in state taxes?
Mr. Morgan has to pay a state tax of $ 38.4 in a biweekly basis on his $42000 yearly income.
What is State Income Tax ?State income taxes are a proportion of your income that you pay to the state government based on how much money you earn from your work, and they vary from state to state.
Tax exemption is the reduction or elimination of a requirement to make a required payment that would otherwise be imposed on individuals, properties, income, or transactions by a ruling power. Tax-exempt status might offer full tax exemption, reduced rates, or tax on only some things.
The more children you have, the more taxes you pay since children are exemptions or deductions on tax forms. Some non-profit organizations are tax-exempt, which means they don't have to pay any taxes. People are also exempt from participating in certain vocations and battles. You are excused if you have an exemption.
Personal Exemption is non taxable = $ 3600
Total income = $ 42000 yearly
Total taxable income = 42000 - 3600 = $ 38400
Total tax yearly = 2.6 % of 38400 = (2.6/100)*38400 = $ 998.4
Total tax generated biweekly is = (998.4/52)*2 = $ 38.4
Mr. Morgan has to pay a state tax of $ 38.4 in a biweekly basis on his $42000 yearly income.
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5. The parametric equations of a curve are given below: x(t)=3t,y(t)=4t 2−t 3,t>0 (a) Find dxdy
(b) Find the equation of the tangent to the curve at the point where t=2. (c) Use a graphice package to plot the curve from part (a) and the tangent from part (b). Include the printout with your ascignment.
(a) To find the derivative of y with respect to x, we can use the chain rule.
First, we'll find dy/dt:
dy/dt = d/dt(4t^2 - t^3) = 8t - 3t^2
Next, we'll find dx/dt:
dx/dt = d/dt(3t) = 3
To find dy/dx, we divide dy/dt by dx/dt:
dy/dx = (dy/dt)/(dx/dt) = (8t - 3t^2) / 3
(b) To find the equation of the tangent to the curve at the point where t = 2, we substitute t = 2 into the parametric equations:
x(2) = 3(2) = 6
y(2) = 4(2^2) - 2^3 = 8 - 8 = 0
So the point of tangency is (6, 0). We can use the derivative dy/dx from part (a) to find the slope of the tangent line at this point:
dy/dx = (8t - 3t^2) / 3
dy/dx = (8(2) - 3(2^2)) / 3
dy/dx = (16 - 12) / 3
dy/dx = 4 / 3
The slope of the tangent line is 4/3. Using the point-slope form of the equation of a line, we can write the equation of the tangent as:
y - 0 = (4/3)(x - 6)
y = (4/3)x - 8
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Graph y= 2/7x helpppppppp
The graph of the given equation is plotted below.
The given equation is y=2/7 x.
What is the graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter.
Graph the line using the slope and y-intercept, or two points.
Slope: 2/7
y-intercept: (0, 0)
Plot the points (0, 0) and (7, 2) on the graph
Hence, the graph of the given equation is plotted below.
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Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
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Find the ratio of the prize of pencil to that of ball pen , if pencils cost 25$ per score and ball pen cost 12$ per 10
Last time the question was wrong please help me in this
Answer:
Step-by-step explanation:
ratio of pencil by ball pen
pencil=25 per score
ball pen =12 per 10
10 pens 12rs
12÷10=6/5
20 pencils 25rs
25÷20=5/4
ratio=6/5÷5/4
6/5×4/5
24/25
Answer:
1:5
Step-by-step explanation:
If a pack of 10 ball pens cost $12, then each ball pen must cost 12/10 = $1.20. The ratio of $0.25:$1.20 simplifies down to 1:5 (ans).
Show work please.....
Answer:what goes around comes around
Step-by-step explanation:"i need points thanks"
How do you solve for a missing angle of theta in a right triangle?
Step-by-step explanation:
Step 1 The two sides we know are Opposite (300) and Adjacent (400).
Step 2 SOHCAHTOA tells us we must use Tangent.
Step 3 Calculate Opposite/Adjacent = 300/400 = 0.75.
Step 4 Find the angle from your calculator using tan-1
We use the trigonometric ratios or angle sum property to find the missing angle of theta in a right triangle.
To solve for a missing angle of theta in a right triangle, you can use the trigonometric ratios: sine, cosine, and tangent.
These ratios relate the angles of a right triangle to the lengths of its sides.
Here are the steps to solve for a missing angle theta in a right triangle:
Identify the given information: Determine which sides or angles are provided in the problem.
Determine the trigonometric ratio to use: Decide which trigonometric ratio (sine, cosine, or tangent) is appropriate for the given information.
Set up the equation: Write the trigonometric ratio using the given information and the unknown angle theta.
Solve the equation: Use algebraic methods to solve the equation for theta. This may involve taking the inverse of the trigonometric ratio.
Calculate the value of theta: Plug in the values from the given information into the equation and solve for theta.
Or we can use the angle sum property if two angles are given.
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Hello! Please help with this question I would really appreciate it
Answer:
.
Step-by-step explanation:
Answer
You got the standard form correctly
Step-by-step explanation:
Multiply \((4x+6)^{2}\)
f ( x ) = \(4x^{2}\) + 48 x + 144+ 5
f ( x ) = \(4x^{2}\) + 48 x + 149
4 is a
48 is b
149 is c
What are the x- and y-intercepts of the function f(x) = 2x² + x + 5?
O A. y-intercept: 5, x-intercept: 0
OB. y-intercept: 8; x-intercept: 0
O C. y-intercept: 5; x-intercept: none
OD. y-intercept: 8; x-intercept: none
The x- and y-intercepts of the function f(x) = 2x² + x + 5 is A.
we put x as equal to 0 first and we get y = 5 (y=f(x))
once we get y = 5 we can replace it in the equation and we get 2x^2+x=0 solving the quadratic equation, we get x=0, -1/2
The quadratic equation can be solved by taking x common then we are left with (2x+1).
the x we take common is equal to 0
(2x+1) = 0 gives x=-1/2
hence the x intercept = -1/2, 0 and y intercept =5
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suppose the function g(x) doubles the square of the input and then subtracts 13. what is g(3)?
Given:
The function \(g(x)\) doubles the square of the input and then subtracts 13.
To find:
The value of \(g(3)\).
Solution:
Let \(x\) be the input value.
The square of the input is \(x^2\).
Doubles the square of the input \(2x^2\).
Doubles the square of the input and then subtracts 13, i.e., \(2x^2-13\).
So, the function is:
\(g(x)=2x^2-13\)
Putting \(x=3\) in the above function, we get
\(g(3)=2(3)^2-13\)
\(g(3)=2(9)-13\)
\(g(3)=18-13\)
\(g(3)=5\)
Therefore, the value of \(g(3)\) is 5.
formula for volume of a pyramid with a square base
The formula for finding the volume of a pyramid with a square base is :
(1/3) * side length squared * height.
The formula for the volume of a pyramid with a square base is:
Volume = (1/3) * Base Area * Height
Where:
Base Area is the area of the square base of the pyramid (length of one side squared: A = s^2, where "s" is the length of one side of the square base)
Height is the perpendicular distance from the base to the apex (top) of the pyramid.
Combining these values, the formula becomes:
Volume = (1/3) * s^2 * Height
So, the volume of a pyramid with a square base can be calculated by multiplying one-third of the base area by the height of the pyramid.
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Which number is greater and by how much: A decreased by 50% and then increased by 50% of the result
Answer:
the original number is greater
Step-by-step explanation:
1. let 1x be your starting number
2. therefore, 0.5 * 1x = 0.5x ( amount after you decreased it by 50%)
3. then increase: 0.5x * 1.5 = 0.75x (amount after you increased it by 50%)
4. 0.75x < 1x (this means that the original number is larger than the one you decreased and then increased)
The graph shows the absolute value parent function.
5
-5
5
-5
Which statement best describes the function?
O A. The function is increasing when x < 0.
Answer:
C, never negative
absolute value is like asking for "how much away from zero", so -5 is 5 away from zero.
The graph of the function is increasing when x>0.
What is graph?Graph a diagram showing the relation between variable quantities, typically of two variables, each measured along one of a pair of axes at right angles.
here, we have,
We know, cube root parent is:
The basic parent cube root function is of the form f (x) = ∛x. It increases on the interval (-∞, ∞). It increases on the interval [0, ∞). It is positive on (0, ∞) and negative on (-∞, 0). It is a non-negative function always (on [0, ∞)). Its absolute min is 0 but no absolute max. Its domain and range is the set of all real numbers.
Given,
The function f(x) = ∛x
Let x = 1, we get f(x) = 1,
x =2, f(x) = 8
if x =3, f(x) = 27.
As we know, with increase in the value of x, the value of f(x) is also increasing.
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Simplify -2/5 + 4/3. What is the answer?
Answer:
Exact Form:
14 /15
Decimal Form:
0.93
Step-by-step explanation:
Answer:
14/15
Step-by-step explanation:
-2/5 + 4/3
= 14/15
please helpp don’t know how to solve
Answer:
65 cm
Step-by-step explanation:
Hey There!
So the congruency statement ABC = TUV
states that side AB = side TU side BC = side UV and side CA = side VT
The given side lengths are BC and UV which are congruent to each other so we set up an equation to solve for x
7x+2=6x+11
step 1 subtract 2 from each side
2-2 cancels out
11-2=9
Now we have
7x=6x+9
step 2
subtract 6x from each side
7x-6x=x
6x-6x cancels out
now we have 9=x so x=9
Now we just plug in 9 to x in (6x+11)
to find the length of the given side length
6x9=54
54+11=65
Because side VU and side BC are congruent they both equal 65 cm
So we can conclude that the length of the given sides is 65 cm
The1AndOnlyMarkus
isosceles triangle abc has a perimeter of 96 centimeters. the base of the triangle is line segment a c and measures 24 centimeters.
The measure of the line segment AB is 36cm .
In the question ,
it is given that ,
The triangle ABC is a isosceles triangle ,
that means side AB = side BC ,
and the length of base AC = 24 cm .
given the perimeter of the triangle is 96 cm .
So ,
AB + BC + AC = 96
AB + AB + AC = 96 .....because AB = BC
2AB + AC = 96
Substituting the value of AC = 24 cm
2AB + 24 = 96
Subtracting 24 from both the sides , we get
2AB = 96 - 24
2AB = 72
Dividing both sides by 2 ,
we get ,
AB = 72/2 = 36 .
Therefore , The measure of the line segment AB is 36cm .
The given question is incomplete , the complete question is
Isosceles triangle ABC has a perimeter of 96 centimeters. The base of the triangle is Line segment A C and measures 24 centimeters.
What is the measure of Line segment AB ?
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