Answer:
\({ \rm{50 - (12 + 9 - 2(3) + 2(1) - 2)}} \\ \\ = { \rm{50 - 21 + 6 + 2 - 2}} \\ \\ = { \rm{58 - 23}} \\ \\ = { \rm{35}}\)
Answer:
35
Step-by-step explanation:
You have to solve this sum according to BODMAS theory.
That means,
B = brackets
O = of
D = division
M = multiplication
A = addition
S = subtraction
Let us solve now.
50 – (12 +9 - 2(3)+2 (1) - 2)
50 - ( 12 + 9 - 2 × 3 + 2 ×1 -2)
50 - ( 12 + 9 - 6 + 2 -2 )
50 - ( 21 - 6 + 2 - 2 )
50 - ( 15 +2 - 2 )
50 - (17 - 2)
50 - 15
35
perform the following Elementary row operation on the augmented Matrix
9514 1404 393
Answer:
\(\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right]\)
Step-by-step explanation:
The designated sum can replace either row. Consult your curriculum materials for the intent.
Here, we'll replace row 2 with the sum.
3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)
After the row operation replaces the second row, the augmented matrix is ...
\(\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right]\)
Answer:
3(2, -2, 5) +(-6, 3, -4) = (3(2)-6, 3(-2)+3, 3(5)-4) = (0, -3, 11)
After the row operation replaces the second row, the augmented matrix is ...
\begin{gathered}\left[\begin{array}{cc|c}-6&3&-4\\0&-3&11\end{array}\right]\end{gathered}[−603−3−411]
the soccer team manager plans to have 2 gallons of water for every 4 players on the team during practice. determine whether the statements about ratios are true or false.
A. The team manager needs 1 gallon of water for every 1 player
` true or false
B. The ratio of number of players to gallons of water is 2:1
` true or false
C. The team manager ould need 4 gallons of water for 10 players
` true or false
D. For 30 players, the team manager would need 15 gallons of water ` true or false
Answer:
A.=False
B.=True
C.=False
D.=True
Step-by-step explanation:
The original ration is 2 gallons of water for 4 players.
Each player requires 1/2 gallon of water.
To get the amount of water needed multiply 1/2 by the amount of players.
1*(1/2) does not equal 1
2*(1/2) equals 1
10*(1/2) does not equal 4
30*(1/2) equals 15
A tortoise is walking in the desert. It walks 5.12 meters in 2 minutes. What is its speed?
Answer:
2.61 meters per minute
Step-by-step explanation:
All you have to do is divide by 2!
The speed of the tortoise is 2.56 meters per minute.
What is speed?Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.
Given, A tortoise is walking in the desert.
It walks 5.12 meters in 2 minutes.
The speed meter per minute;
5.12/2
= 2.56 meters per minute.
Therefore, 2.56 meters per minute is the speed of the tortoise.
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Help pls pls pls pls
Answer:
angle 5 and angle 2
angle 1 and angle 4 + 3
In a survey of 1400 people who owned a certain type of car, 540 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
HELP
Around 38% of the people surveyed were satisfied with the car. The answer has been obtained by using arithmetic operations.
What are arithmetic operations?
Mathematicians claim that the four fundamental operations, often known as "arithmetic operations," can be used to describe all real numbers. The four mathematical operations of division, multiplication, addition, and subtraction produce the quotient, product, sum, and difference, respectively.
We are given that in a survey of 1400 people who owned a certain type of car, 540 said they would buy that type of car again.
This means that out of 1400 only 540 people were satisfied.
So, the percentage of people satisfied is
540/1400 * 100 = 38% (Approx.)
Hence, around 38% of the people surveyed were satisfied with the car.
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15+6x=1/2(32+12x)-1
please help mEEE
Answer:
here is the answer please mark me as brainliest please
You and eight friends plan a surprise party. Each of you contributes the same amount of
money m for food. Their mom also contributes $20.
a. Write an algebraic expression for the total amount of money contributed for food.
b. Evaluate your expression if each person contributed $10.50
Answer:
a. 9m + 8×$20 = $340
b. 9×$10.50 + 8×$10.50 = $178.50
Step-by-step explanation:
Its self-explanatory
For the question of total area of the cuboid is 200cm^.
I understand where we divide 150 by 4.
But why do I need to multiply by 5, when there are 6 faces.
You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.
When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.
A cuboid has six faces, but each face has a pair that is identical in size and shape.
Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.
To find the surface area of a cuboid, you can add up the areas of all its faces.
However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:
(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.
By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.
Essentially, you are considering one face from each pair and then summing their areas.
Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.
When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.
Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.
Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.
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i need help with the question
The intersection points are: (0, -3) and (10, 2)
The bounded area is -20.83 unit²
How to find the intersection points?(a) The intersection points of the line and curve are the points where the line and curve meet. Thus, the intersection points are:
(0, -3) and (10, 2)
(b) The integral terms of y which gives the area bound are:
a = -3, b = 2 (These are the y values of the intersection points)
Since we have x = y² + 3y and x = 2y + 6, we can say:
y² + 3y = 2y + 6
y² + 3y - 2y - 6 = 0
y² + y - 6 = 0
Thus, h(y) =
Using a = -3 and b = 2 with h(y) = y² + y - 6, we have the bounded area as:
\(Area = \int\limits^b_a {y} \, dy\)
\(Area = \int\limits^{2}_{-3} {(y^{2} + y - 6}) \, dy\)
Integrating the area:
Area = [y³/3 + y²/2 - 6y + C]²₋₃
Area = [2³/3 + 2²/2 - 6(2)] - [(-3)³/3 + (-3)²/2 - 6(-3)]
Area = [8/3 + 2 - 12] - [-9 + 4.5 + 18]
Area = [-22/3] - [27/2]
Area = -125/6
Area = -20.83 unit²
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Identify the focus and directrix of the parabola represented by the equation (y-2)^2= 24 (x-5)
Answer: Directix= -1
Focus (11, 2)
Step-by-step explanation:
Help
Find a if A = 8a
Answer:
a(A) = 0
Step-by-step explanation:
Calculator What is the area of a sector with a central angle of 144° and a radius of 11 cm? Use 3.14 for π and round your final answer to the nearest hundredth. Enter your answer as a decimal in the box. cm² K
Rounding to the nearest hundredth, the area is approximately 151.976 cm².
The formula for the area of a sector is:
A = (θ/360) x πr²
where θ is the central angle in degrees, r is the radius, and π is pi (3.14).
Plugging in the given values, we get:
A = (144/360) x 3.14 x 11^2
A = 0.4 x 3.14 x 121
A = 151.976
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Please help this question is asking about the volume of a hemisphere and cylinder?
Answer:
pppppppppppppppppppppppppppppppppppppppppp
Anderia is having a party with 25 people. She has 6 1/2 large pizzas at the party. She gives equal amounts of pizza to each person. What fraction of pizza does each person get?
Answer:
Everyone got 52/25 = 2.08 slices of pizza.
Step-by-step explanation:
1 large sized pizza = 8 slices
6.5 large sized pizzas = 52 slices
52/25 = 2.08
Hope this helps :D
A worker at a mill is loading 8-1b bags of flour into boxes to deliver to a local warehouse.
Each box holds 10 bags of flour.
If the warehouse orders 4 tons of flour, how many boxes are needed to fulfill the order?
boxes are needed to fulfill the order.
Answer:
100
Step-by-step explanation:
Need help!
Which answer is correct?
Answer:
the answer is a
Step-by-step explanation:
A dinner bill for jeff came out $21.00.Jeff paid a total of $24.00 including tip.How big of a tip did jeff leave,as a percentage of the original bill?
Fill in the blank with a percent .Round your percent to whole numbers like 11%
Jeff left a tip of %
Evaluate the expression if
X=12, y=8, and z=3
5y+ x/z
Answer:
44
Step-by-step explanation:
5y + x / z
5 ( 8 ) + 12 / 3
40 + 4
44
The half-life of iron-52 is approximately 8.3 hours.How much of a 13 gram sample of iron-52 would remain after 8 hours? Round to three decimal places.
6.665 grams of the 13 grams remain after 8 hours.
How much of a 13 gram sample of iron-52 would remain after 8 hours?The decay equation for the 13 grams of iron-52 is:
\(N(t) = 13g*e^{(-ln(2)/8.3h)*t}}\)
Where N is the amount of iron-52, and t is the time in years.
Where we used the fact that the half-life is exactly 8.3 hours.
Now, the amount that is left is given by N(8h), so we just need to replace the variable t by by 8 hours, so we get:
\(N(8h) = 13g*e^{(-ln(2)/8.3h)*8h}} = 6.665g\)
So 6.665 grams of the 13 grams remain after 8 hours.
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14) Evaluate each indefinite integral. SHOW STEPS
As a result, -3/10 csc⁵-3x + C is the antiderivative of 9csc-3xcot-3x⋅ csc³-3x.
What is meant by an integral in math?In mathematics, an integral is either a number representing the region under a function's graph for a certain interval or an added to the initial, the derivative which is the previous function (indefinite integral).
9csc-3xcot-3x ⋅ csc³-3x = 9csc⁴-6x cot-3x
Then, we can use u-substitution, with u = csc-3x and du/dx = -3csc-3xcot-3x dx, as in the previous problem. We get:
∫9csc-3xcot-3x⋅ csc³-3x dx = -3/2 ∫u⁴ du
= -3/2 × u⁵ / 5 + C
= -3/10 csc⁵-3x + C
Therefore, the antiderivative of 9csc-3xcot-3x⋅ csc³-3x is -3/10 csc⁵-3x + C.
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I think it’s 40%, am I correct?
PLZ HELP ME I BEG OF YOU!?!?!
3 - 7 = -4
Why?
7 is a bigger number than 3 which makes the answer a negative number.
-9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9
that is a number line and if you start from 3 and go back 7 spaces it would be -4.
In conclusion,
-4 is the absolute value of 3 - 7.
6x - 72 = -18
what is x?
Answer:
x = 9
Step-by-step explanation:
6x - 72 = -18
Add 72 to both sides:
6x - 72 + 72 = -18 + 72
6x = 54
Divide both sides by 6:
\(\frac{6x}{6} = \frac{54}{6}\)
x = 9
Let f(x) = x ^ (6x) Use logarithmic differentiation to determine the derivative.
SOLUTION
The given function is:
\(f(x)=x^{6x}\)Rewrite the function in terms of y:
\(y=x^{6x}\)The derivative using logarithmic differentiation is done as follows:
\(\begin{gathered} \ln y=\ln x^{6x} \\ \ln y=6x\ln x \end{gathered}\)Differentiate both sides:
\(\frac{y^{\prime}}{y}=6x(\frac{1}{x})+6\ln x\)This is simplified to give:
\(y^{\prime}=y(6+6\ln x)\)Substituting the value of y into the equation gives:
\(y^{\prime}=x^{6x}(6+6\ln x)\)Therefore the derivative is:
\(f^{\prime}(x)=6x^{6x}(\ln x+1)\)The value of f'(1) is:
\(\begin{gathered} f^{\prime}(1)=6(1)^{6(1)}(\ln1+1) \\ f^{\prime}(1)=6(1)(0+1) \\ f^{\prime}(1)=6 \end{gathered}\)Therefore it follows f'(x)=6
Please help me with the simplifying
The key here is to not worry too much and just follow PEMDAS.
Here we have the expression \((5\cdot 7)^2\). Following PEMDAS, we complete the expression inside the parentheses first, or \(5\cdot 7 = 35\). This gives us \((35)^2\) or just \(35^2.\)
Hope this helps.
The area of a rectangle is 216 inches squared. The ratio of the length to width is 3:2. Find the length and the width
Answer:
Length = 18 inches
Width = 12 inches
Step-by-step explanation:
Let the Length be 3x and width be 2x
Area= Length*Width=216 inches squared
216=3x*2x
216=6x²
x²=216/6
x²=36
x=√36
x=6 inches
Therefore
Length = 3x = 3*6 = 18 inches
Width = 2x = 2*6 = 12 inches
Rewrite the function f(x) =-4(x+3)2-2 in the form f(x) = ax?+bx+c.
| f(x) = 1
Х
X
?
Answer:
Step-by-step explanation:
https://www.alvinisd.net/cms/lib/TX01001897/Centricity/Domain/436/Math%201314.61%20Quiz%20Solutions.pdf it will give u the answer trust me
Paula runs a stable. 20 horses currently board at the stable, and 8 of them are bay.
What is the probability that a randomly chosen horse will be bay?
Write your answer as a fraction or whole number.
p ( bay ) = ?
Answer:
40% chance
Step-by-step explanation:
Take the number of horses total and divide the number of bay horses.
Please solve assignments due today
1. Initial prediction for the data set with smaller Mean Absolute Deviation was Period A. Prediction was wrong.
2. The Mean Absolute Deviation for Period A is 1.8 and Period B, 1.1
This means that period B has a smaller Mean absolute deviation.
How do we calculate the Mean Absolute Deviation?We start by finding the mean for each set;
Period A: Mean = (1×92 + 1×94 + 3×95 + 1×96 + 2×97 + 1×99 + 1×100)/10
= 960/10
= 96
Period B: Mean = (1×94 + 3×95 + 1×96 + 4×97 + 1×98)/10
= 961/10
= 96.1
Period A:
Mean Absolute Deviation = ((92-96) + (94-96) + 3(95-96) + (96-96) + 2(97-96) + (99-96) + (100-96))/10
Mean Absolute Deviation = (4 + 2 + 3 + 0 + 2 + 3 + 4)/10
Mean Absolute Deviation = 1.8
Period B:
Mean Absolute Deviation = ((94-96.1) + 3(95-96.1) + (96-96.1) + 4(97-96.1) + (98-96.1))/10
Mean Absolute Deviation = (2.1 + 3.3 + 0.1 + 3.6 + 1.9)/10
Mean Absolute Deviation = 1.1
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There was a seller of horses, who sold all his horses to three people. To the first man he sold half of all his horses and a half of a horse. To the second man he sold half of what he had left and a half of a horse. To the third man he again sold half of what was left and a half of a horse. How many horses did he have at first? (No horses were harmed!)
Answer:
7
Step-by-step explanation:
3RD MAN: 1
2ND MAN: 2
1ST MAN: 4
3rd Man = 1/2+1/2 = 1
2nd Man = 1+1 = 2
1st Man = 2*2 = 4