Answer: 4/5 and 5/6 are not equivalent to 2/3 because they represent different fractions. 4/5 represents 4 parts out of 5 total parts, while 5/6 represents 5 parts out of 6 total parts. 2/3 represents 2 parts out of 3 total parts. To check if two fractions are equivalent, you need to see if they simplify to the same fraction. For example, 4/5 simplifies to 8/10 and 5/6 simplifies to 5/6, but neither of them simplifies to 2/3. Hence, 4/5 and 5/6 are not equivalent to 2/3.
Step-by-step explanation:
volume of a sphere = 4/3pir^3 where r is the radius volume of a cone = 1/3pir^2h where r is the radius and h is the height the shape below is made from a cone and a hemisphere work out the volume of the shape give your answer to the nearest integer 8cm 12cm
Answer: To find the volume of the combined shape, we need to find the volume of the cone and the volume of the hemisphere and add them together.
For the cone:
Volume = 1/3 * pi * r^2 * h
Where r is the radius and h is the height. In this case, r = 8 cm and h = 12 cm. So,
Volume = 1/3 * pi * 8^2 * 12 = (1/3) * pi * 64 * 12 = 256 * pi cm^3
For the hemisphere:
Volume = (2/3) * pi * r^3
Where r is the radius. In this case, r = 8 cm. So,
Volume = (2/3) * pi * 8^3 = (2/3) * pi * 512 cm^3
Adding the volumes of the cone and the hemisphere, we have:
Volume = 256 * pi + (2/3) * pi * 512 cm^3 = 256 * pi + 341.3333 * pi cm^3
To the nearest integer, the volume of the combined shape is:
Volume = round(256 * pi + 341.3333 * pi) = round(597.3333 * pi) = 1876 cm^3
Step-by-step explanation:
find the inverse function of f(x) = 2x +3
Answer:
So the inverse function of f(x) = 2x + 3 is f⁻¹(x) = (x - 3) / 2.
Step-by-step explanation:
To find the inverse of a function, we switch the x and y variables and solve for y. So, we start with:
y = 2x + 3
Switching x and y, we get:
x = 2y + 3
Now, we solve for y:
x - 3 = 2y
y = (x - 3) / 2
So the inverse function of f(x) = 2x + 3 is f⁻¹(x) = (x - 3) / 2.
Answer & Step-by-step explanation:
To determine f's inverse function (x)= 2x + 3, we can follow these steps:
Step 1: Replace f(x) with y: y = 2x + 3
Step 2: Solve for x in terms of y:
y = 2x + 3
y - 3 = 2x
x = (y - 3) / 2
Step 3: Replace x with f^(-1)(x):
f^(-1)(x) = (x - 3) / 2
Therefore, the inverse function of f(x) = 2x + 3 is f^(-1)(x) = (x - 3) / 2.
Hope it helps!Mariah is planting a rectangular rose garden. In the center of the garden, she puts a smaller rectangular patch of grass. The grass is 2 feet by 3 feet. What is the area of the rose garden?
The area of the rose garden =129 square feet.
Consider the following diagram.
From the figure we can observe that the dimensions of the rectangular garden are: length = 15 ft and width = 9 ft
Let us assume that A₁ be the area of the rectangular garden.
Using the formula for the area of rectangle,
The area of the rectanguler garden would be,
A₁ = 15 × 9
A₁ = 135 ft²
Also, the dimensions of the rectangular patch of grass is 2 feet × 3 feet.
Let us assume that A₂ represents the area of the rectangular patch of grass.
Using the formula for area of rectangle, the area of rectangular patch of grass is:
A₂ = 2 × 3
A₂ = 6 ft²
Let a be the area of the rose garden.
So, the required area would be,
A = A₁ - A₂
A = 135 - 6
A = 129 ft²
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Find the complete question below.
9+10=
????????????????????????????????????
Answer: 21
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
9 + 10 = (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1) + (1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1)
1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 + 1 = 19
A scale drawing of Julie's living room is shown below: A rectangle is shown. The length of the rectangle is labeled as length equal to 8 cm, and the width is labeled as width equal to 6 cm. If each 2 cm on the scale drawing equals 4 feet, what are the actual dimensions of the room? (5 points) a Length = 16 feet, width = 12 feet b Length = 10 feet, width = 8 feet c Length = 32 feet, width = 24 feet d Length = 14 feet, width = 12 feet
5/12 x 5/12 x 5/12.
Answer:
0.072337963 or 125/1728
Step-by-step explanation:
simply put it into a calculator
Can anybody help me on this question?
Answer: x = 46°
Step-by-step explanation:
What would be the answer for the Area of a Triangle if the b=6 and the h=10?
Answer: A = 30
Step-by-step explanation:
Hello, to find the area of a triangle, you first have to follow,
Step 1. The area of a triangle is A = 1/2 * b * h, so plug in the other numbers
Step 2. A = 1/2 * 6 * 10
Step 3. Get rid of the fraction by doing 10 * 1/2. A = 6 (10 * 1/2)
Step 4. A = 6 * 5
Step 5. A = 30
Steve is driving at 35 mi/h when he makes an emergency stop. His brakes lock and his tires leave four skid marks of equal length. The drag factor for the road surface was 0.97 and his brakes were operating at 90% efficiency. How long might the skid marks be to the nearest foot?
The skid marks be to the nearest foot is 913 ft.
The length of the skid marks can be calculated using the formula d = μV2/2gdf, where μ is the coefficient of static friction, V is the velocity, g is the acceleration due to gravity, and df is the drag factor. In this case, the coefficient of static friction can be assumed to be 0.9, the velocity is 35 mi/h, the acceleration due to gravity is 32.2 ft/s2, and the drag factor is 0.97. Plugging these values into the formula, we get [tex]d = 0.9(35 mi/h x 5280 ft/mi/h)2/2(32.2 ft/s2)(0.97) = 912.5 ft[/tex]. To the nearest foot, this is 913 ft.
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the cost of first-class postage in 2013 was raised to 46 cents. according to the exponential regression model, what was the predicted cost for 2013? start by noting that 2013 is 63 years since 1950.
The predicted cost of postage for 2013 is 45 cents.
How to determine the predicted cost in 2013We need to use the exponential regression model to predict the cost of postage for the year 2013, given that it was 63 years since 1950.
Let's assume that the cost of postage can be modeled using the exponential function:
C(t) = a * e^(kt)
where:
C(t) is the cost of postage at time ta is the initial cost of postage (in 1950)k is the growth rate of the cost of postage (in decimal form)We can use the two data points we have to solve for a and k:
In 1950, the cost of postage was 3 cents (a = 0.03)In 2013, the cost of postage was 46 cents (C(63) = 0.46)Using the above data points, we can solve for k as follows:
0.03 = a * e^(0 * k)
0.46 = a * e^(63k)
Dividing the second equation by the first equation, we get:
15.333 = e^(63k)
Taking the natural logarithm of both sides, we get:
k = ln(15.333)/63
Evaluate
k = 0.043
Now that we have k, we can use it to predict the cost of postage in 2013:
C(63) = a * e^(63k)
C(63) = 0.03 * e^(63 * 0.043)
C(63) = 0.45
Hence, according to the exponential regression model, the cost is 45 cents.
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Complete question
The cost of first-class postage in 2013 was raised to 46 cents.
According to the exponential regression model, what was the predicted cost for 2013 if the cost of postage was 3 cents in 1950
Start by noting that 2013 is 63 years since 1950.
for my homework i need to factorise 14x^2-x-3
Answer:
the factorisation of 14x^2 - x - 3 is (7x + 3)(2x - 1).
Step-by-step explanation:
To factorise the quadratic expression 14x^2 - x - 3, we can use the following steps:
Look for two numbers that multiply to 14 and add to -1. The numbers we need are -7 and 2.Write the expression as a product of two binomials: (14x^2 - 7x) + (-x - 3).Now, we use the difference of squares factorization to separate the middle term: (7x + 3)(2x - 1).Check our answer by multiplying the two binomials together and comparing the result to the original expression.So, the factorisation of 14x^2 - x - 3 is (7x + 3)(2x - 1).
Answer:
Step-by-step explanation:
14×14-×-3
196-×-3=196-3
=193
27 children sit at table of 6, fillling where possible. Express how are filled using mixed number.
The number of table in the form of mixed number will be 4 ¹/₂ tables.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
27 children sit at table of 6, fillling where possible. Then the number of table is given as,
⇒ 27 / 6
⇒ 4 ³/₆
⇒ 4 ¹/₂ tables
The number of table in the form of mixed number will be 4 ¹/₂ tables.
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Find the dot product of the vectors u = [2, 3, 4] and v = [5, 6, 7].
Answer:
Step-by-step explanation:
The dot product of two vectors u and v is given by the formula:
u · v = u[0] * v[0] + u[1] * v[1] + u[2] * v[2]
where u[0], u[1], and u[2] are the components of vector u and v[0], v[1], and v[2] are the components of vector v.
Plugging in the values from the vectors u = [2, 3, 4] and v = [5, 6, 7], we get:
u · v = 2 * 5 + 3 * 6 + 4 * 7 = 10 + 18 + 28 = 56
Therefore, the dot product of the vectors u and v is 56.
How do you find the zeros of a function please give a detailed explanation
There are several ways to find the zeros of the function x^4–18x^2+12x+80. You can graph the equation and see where it crosses the x axis.The graph crosses at x=-4,-2. This means that -4, and -2 are roots, and (x+4) and (x+2) are factors. I like synthetic division the best when it comes to factoring. I teach synthetic division when we get to problems like this, so I will assume that you are familiar with it.First take the coefficients of the equation x^4–18x^2+12x+80 I have to usex^4 +0 x^3 –18x^2+12x+80 : 1 0 -18 12 80. I will use -4 first.If you are not supposed to graph it, then you can use synthetic division. It can take longer because you have to “guess “ at the factors using an educated guess from the factors of =/- p/q . Where p is the last coefficient and q is the first coefficient.In this case we need to find the factors of 80/1 . These are 1,2,4,5,8,10,16,20,40,80. So possible roots are +/- (1,2,4,5,8,10,16,20,40,80). Students usually start with the smaller numbers and work up, So I would try 1 first then 2 etc.Now another way to find the factors is to use 10 as x and to see what the answer is, then try to factor the results. f(x)=x^4–18x^2+12x+80 f(10)=10,000–1800+120+80=8400I can factor 8400 into 100 *6 *14, or (10+0) *(10+0)*(10–4)*(10+4). 0 is not a factor from above, but +/- 4 is. So I could try those two numbers. Looking at the possible roots using 10 as my x, I would need to look at 9,11, 8,12, 0,20 -4,26, etc
Solve.
320e=18
e= what?
Answer: e = 1/18
Step-by-step explanation:
e = 18/320
e = 1/18
Answer: 0.05625
Step-by-step explanation: So, you divide 18 by 320, and that gives you 0.05625, and you can double check by multiplying 0.05625 by 320, which gives you 18.
What is the value of x in the equation 3/5(x + 2) = x−4
Answer:
x = 13
Step-by-step explanation:
I put it into my calculator, let me know if that helped :)
What is the distance between the points (-2, 3) and (5, -1)?
A.) Square root of 121
B.) Square root of 65
C.) Square root of 3
D.) Square root of 63
Answer:
B
Step-by-step explanation:
Use the distance formula.
Probability: is the answer: 0.53125
The value of A + B + C is 1.21 for the distribution function.
What is a distribution function?The cumulative distribution function of a real-valued random variable X, or simply the distribution function of X, evaluated at x, is the probability that X will take a value less than or equal to x in probability theory and statistics.
From the given data the values of A, B, and C are 1 / 8, 3 / 8, and 23 / 32.
The value of the sum of A, B, and C is calculated as:-
E = A + B + C
E = 1 / 8 + 3 / 8 + 23 / 32
E = ( 4 + 12+ 32 ) / 32
E = 39 / 32
E = 1.21
Therefore, the solution for the distribution function is E = 1.21.
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A caterer charges $110 to cater a party for 10 people and $220 for 20 people. Assume the cost, y, is a linear function of the number of x people. Write an equation in slope-intercept form for this function. What does the slope represent? How much would a party for 60 people cost?
The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the cost per people.b is the intercept, representing the fixed cost.Two points on the function are given as follows:
(10, 110) and (20, 220).
The slope is given by the change in the output divided by the change in the input, hence:
m = (220 - 110)/10
m = 11.
Hence:
y = 11x + b.
When x = 10, y = 110, hence the intercept b is given as follows:
110 = 11(10) + b
b = 0.
Hence the function giving the cost for x people is of;
y = 11x.
The cost for 60 people would be of:
y = 11(60)
y = $660.
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how do i solve this problem
Answer:
No, it is not.
Step-by-step explanation:
remember PEMDAS (parenthesis, exponents, mult., etc)
use distributive property, but solve parenthesis first
3x(x+4)²
(x+4)(x+4) = x² + 8x + 16
3x(x² + 8x + 16) >>> 3x³ + 24x² + 48x
so the equation is not equal
Anna compra helado y naranjas en la tienda.
• Ella paga un total de $59.53.
• Ella paga un total de $6.49 por el helado.
• Ella compra 8 bolsas de naranjas que cuestan la misma cantidad ca
Escribe y resuelve una ecuación que se pueda usar para determinar X, cuánto cuesta
cada bolsa de naranjas.
Ecuación:
Respuesta: X=
Answer:
La respuesta de su problemamatemático es X= 6.63
An angle measures 67.4° more than the measure of its supplementary angle. What is the measure of each angle?
Supplementary angles are angles that have a sum of 180 degrees.
Solving the QuestionLet the angle be x.
We're given:
x measures 67.4° more than the measure of 180-x⇒ Change this into a mathematical sentence:[tex]x=67.4+(180-x)[/tex]Solve for x:
[tex]x=67.4+(180-x)\\x=67.4+180-x\\2x=247.4\\x=123.7[/tex]
Solve the the supplementary angle:
[tex]180-x\\= 180-123.7\\= 56.3[/tex]
AnswerThe angle measures 123.7 degrees and its supplementary angle measures 56.3 degrees.
3c + b² + (27a) - d
a = 1/3
b = 9
c = 5
d = -10
Answer:
Step-by-step explanation:
Rephrase it.
3(5) + 9² + (27 x 1/3) - (-10)
15 + 9x9 + 9 - (-10)
15 + 81 + 9 - (-10)
96 + 9 - (-10)
115
HELP ASAP PLEASE!!! In the following figure, BC is tangent to the circle at point B. Use the figure to answer the questions.
The length of BC is 6 inches.
How are radius and tangent to a circle related?There is a theorem in mathematics that:
If there is a circle O with tangent line L intersecting the circle at point A, then the radius OA is perpendicular to the line L.
Given;
Part a;
The length of the secant CD, times its external segment, FC, equals the square of the tangent segment CB;
Mathematically, it can be written as;
RT*ST=TU^2
Part b;
RT*ST=TU^2
TU^2=9*4
TU=6
Therefore, the distance of TU in circle will be 6 inches.
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9/4-7/3 pls answer fast
Answer: -1/12
Step-by-step explanation:
Answer:
-1/12
Step-by-step explanation:
9/4 - 7/3
To start, we need to make the denominators the same number. In order to do that, we need to identify the factor they have in common.
4, 8, 12
3, 6, 9, 12
Twelve is the common factor, so we will use this. Remember, whatever you do to the bottom, you must do to the top, and vice versa.
4 * 3 = 12
/12
3 * 9 (numerator) = 27
27/12
Now, we must figure out 7/3.
3 * 4 = 12
4 * -7 = -28
-28/12
Now, take the new fractions and subtract them.
27/12 - 28/12
-1/12
(x+y+z)(x^2+y^2+z^2-xy-yz-zx)=
The product of (x+y+z)(x^2+y^2+z^2-xy-yz-zx) is x³ + y³ + z³ -2x²y - 2xyz- xy² - y²z - xz²
How to determine the productIt is important to note that algebraic expressions are expressions that are composed of terms, coefficients, variables, factors and constants.
These expressions are also made up of arithmetic or mathematical operations. These operations are;
AdditionMultiplicationBracketDivisionSubtractionParenthesesFrom the information given, we have that;
(x+y+z)(x^2+y^2+z^2-xy-yz-zx)
expand the bracket by multiplying the variables
x³ + xy² + xz² - x²y - xyz - x²z -xy²+ y³ + yz² - x²y - y²z - x² + x²z +y²z + z³ - xyz -yz² - xz²
collect like terms
x³ + y³ + z³ -2x²y - 2xyz- xy² - y²z - xz²
Hence, the expression is x³ + y³ + z³ -2x²y - 2xyz- xy² - y²z - xz²
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Given VXY and VWZ what is VW?
Answer: 37.5
Step-by-step explanation:
62.5 * (3/5) = 37.5
After midnight, the cost of any taxi journey increases by 45%. One journey costs $84.10 after midnight.
Calculate the cost of the same journey before midnight.
Answer:
$121.95
Step-by-step explanation:
Taxi ride cost before midnight = $84.10There is an increase of 45% in cost after midnightThis increase in $ terms is 45% x $84.1045% = 45/100 = 0.45 in decimalSo $ increase in cost = 0.45 x 84.10The cost of the same journey before midnight is,
⇒ $58
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
We have to given that;
After midnight, the cost of any taxi journey increases by 45%.
And, One journey costs $84.10 after midnight.
Now, Let the cost of the same journey before midnight is x
Hence, WE can formulae;
x + 45% of x = 84.10
x + 0.45x = 84.10
1.45x = 84.10
x = $58
Thus, The cost of the same journey before midnight is,
⇒ $58
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Compare Jurgis’s response after his injury to his earlier attitudes. How did his attitude change? Describe your opinion in at least four sentences
Answer:
Step-by-step explanation:
In "The Jungle" by Upton Sinclair, Jurgis is a character who starts out with a positive and optimistic outlook on life. He is full of hope and ambition when he arrives in America with his family, eager to make a better life for himself. However, after he is injured on the job and becomes unable to work, his attitude changes dramatically. He becomes disillusioned and bitter, losing his hope and faith in the American Dream.
In my opinion, Jurgis's response to his injury reflects the harsh realities of life for immigrants and the working class in America during that time. The injury not only physically incapacitates him, but it also robs him of his ability to provide for his family and live out his dreams. The experience shows the extent to which the system is stacked against those in Jurgis's position and serves as a powerful commentary on the injustices and inequalities of the time.
Evaluate the variable expression for x=5, and enter your answer in the box below.
6*(x-9)-5
The variable expression for x = 5 given 6×(x - 9) - 5 is evaluated to give a result of -24 using PEDMAS.
What is PEDMASP – Parentheses First: B – Brackets First
E – Exponents
D – Division
M – Multiplication
A – Addition
S – Subtraction
We shall evaluate the value of the expression 6×(x - 9) - 5 for x = 5 as follows:
we deal with bracket first;
6×(x - 9) - 5 = 6 × (5 - 9) - 5
we multiply next;
6×(x - 9) - 5 = 6 × -4 - 5
6×(x - 9) - 5 = -24 - 5
lastly we subtract
6×(x - 9) - 5 = -29.
Therefore, the variable expression for x = 5 given 6×(x - 9) - 5 is evaluated to give a result of -24 using PEDMAS.
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