Answer: 285.7L
Step-by-step explanation:
Tank initially had 500L of water.
On Monday a third leaked out, therefore:
Amount of water that leaked = 500L x 1/3 = 166.6667 = 166.7L
Remaining water after Monday leak = 500-166.7 = 333.3333 = 333.3L
On Tuesday a seventh of the remaining water (333.3L) leaked out, therefore:
Amount of water that leaked: (333.3333) x 1/7 = 47.6190 =47.6L
Water left after both leaks =500L - (166.6667 + 47.6190)L = 500L - 214.2857L = 285.7143L = 285.7L.
OR Water left = 333.3333L - 47.6190L = 285.7143L = 285.7L
aaaaaaa help!! just tell me where the things go pls <3
Answer:
2x then 15x then 10
Step-by-step explanation:
Answer:
variables are: (x,y)
Step-by-step explanation:
and I am sorry that is all I know
Which function grows faster?
Twelve bacteria are placed into a petri dish. The
number of bacteria doubles every thirty minutes.
or
y = 8x + 29
Which of the following graphs represents the equation y + 2 = 3(x - 1)?
Answer:
The graph I put is what should match!
Step-by-step explanation:
In 2010, the population of a city was 108,000. From 2010 to 2015, the
population grew by 7.7%. From 2015 to 2020, it fell by 6.1%. To the nearest
100 people, what was the population in 2020?
Answer:
109,200 people
Step-by-step explanation:
First change all the percentages into decimals. Then multiply 108,000 by 1.077, because it is 7.7% of the population, while also including the original population. The product of this is 116,316. Then, if you want to find the percent decrease, it would be something out of 100, so 100-6.1=93.9. Changing that into decimal form, 0.939, and multiplying it by 116,316, you get 109,220, which rounds to 109,200.
Answer:
109200
Step-by-step explanation:
What is the solution set of x/4 less than or equal to 9/x
Answer: x≤-6 or 0<x≤6.Option D.
Step-by-step explanation:
Given:
Subtract from both sides,
0
Simplifying by taking common denominator:
0
Factoring numerator:
0
Computing the signs and selecting that one satisfies ≤ 0:
x≤ -6,0<x≤6.
Option D is the right answer.
Look at the image. (calculus)
=============================================
Explanation:
Recall that the pythagorean trig identity is [tex]\sin^2 x + \cos^2x = 1[/tex]
If we were to isolate sine, then,
[tex]\sin^2 x + \cos^2x = 1\\\\\sin^2 x = 1-\cos^2x\\\\\sin x = \sqrt{1-\cos^2x}\\\\[/tex]
We don't have to worry about the plus minus because sine is positive when 0 < x < pi/2.
Through similar calculations, [tex]\cos x = \sqrt{1-\sin^2x}\\\\[/tex]
Cosine is also positive in this quadrant.
-------------
So,
[tex]\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}\\\\\frac{\sin x}{\sin x}+\frac{\cos x}{\cos x}\\\\1+1\\\\2[/tex]
Therefore,
[tex]\frac{\sqrt{1-\cos^2x}}{\sin x}+\frac{\sqrt{1-\sin^2x}}{\cos x}=2[/tex]
is an identity as long as 0 < x < pi/2
Answer:
2
Step-by-step explanation:
[tex]=\frac{\sqrt{1-cos^{2}x }}{sinx} +\frac{\sqrt{1-sin^{2}x } }{cosx} \\\\When \:0 < x < \frac{\pi }{2} \\\\=\frac{\sqrt{sin^{2}x } }{sinx} +\frac{\sqrt{cos^{2}x } }{cosx} \\\\=\frac{sinx}{sinx} +\frac{cosx}{cosx} \\\\=1+1\\\\=2[/tex]
Here we use the formula sin²x=1-cos²x and cos²x=1-sin²x.
The population of a a city increases by 0.5% per year if this years population 201,000 what will next year’s population be to the nearest individual
[tex]\qquad \textit{Amount for Exponential Growth} \\\\ A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{initial amount}\dotfill &201000\\ r=rate\to 0.5\%\to \frac{0.5}{100}\dotfill &0.005\\ t=\textit{elapsed time}\dotfill &1\\ \end{cases} \\\\\\ A=201000(1 + 0.005)^{1}\implies A=201000(1.005)\implies A=202005[/tex]
Alejandro bought a bond with a face value of $5,000. The term of the bond is 2 years. He bought the bond at a 4 percent discount from the face value. The bond pays 4 percent annual interest, and Alejandro will receive four semiannual payments. When the bond is redeemed at maturity, the total return (profit) will be $______.00. The total return on investment will be _____%. (Round return on investment percentage to one decimal place.)
1. When the bond is redeemed at maturity, the total return (profit) for Alejandro will be $600.00.
2. The total return on investment will be 12.5%.
What is the return on investment?The return on investment is a profitability measure that shows the rate of an investment's profit versus the cost.
The return on investment can be computed by subtracting the initial investment cost from the terminal value of the investment, then dividing the net return by the initial investment cost, then multiplying it by 100.
Data and Calculations:Face value of bond = $5,000
Price paid for bond = $4,800 ($5,000 x 96%)
Bond discount = $200 ($5,000 x 4%)
Maturity period = 2 years
Interest rate = 4%
Semi-annual interest receipts = $100 ($5,000 x 4% x 1.2)
Total interest receipts = $400 ($100 x 4)
Total return (profit) from the bond = $600 ($400 + $200)
Total return on investment = 12.5% ($600/$4,800 x 100)
Thus, the bond investment yields $600 at the end of the maturity period, which is 12.5% of the initial investment.
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please help me please
Answer:
g(x) has the greater value when x = 2, g(2) is 7 greater than f(2)
Step-by-step explanation:
From the graph, f(2) = 1
g(2) = 0.5(4)² = 8
So g(x) has the greater value when x = 2, g(2) is 7 greater than f(2)
Help!!!! I don't know how to do this stuff..
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
The y - intercept of the shown line on the graph is -4
Y - intercept is the " y - coordinate of the point on line when it cuts the y - axis "
What is the value of 2y + 3 when y +4 ?
Answer:
substitute y = 4 into the expression⇒(2×4)+3=8+3=11
Step-by-step explanation:
The ratio of girls to boys in the grade
is 6 to 8. If there are 120 girls, how many
boys are there?
Answer:
160
Step-by-step explanation:
The total number of girls in grade is = 120
the ratio of girls to boys is 6/8
Let the number of boys be x
[tex]\frac{6}{8} = \frac{120}{x}[/tex]
6 x = 120 x 8 = 960
x = 960/6
x = 160
Number of boys in grade = 160
Hope it helps!!!Brainliest pls!!!!!!Select the point on the number line located at -3/4
Answer:
that one before -1
Step-by-step explanation:
Determine the solution for the polynomial:
14x^2 + 60x = -2(5x^2 + 3x - 9)
Triangle FGH is formed by connecting the midpoints of the side of triangle CDE. The measures of the interior angles of triangle CDE are shown. Find the measure of
Answer: 6
Step-by-step explanation:
i got the same question.
choose one helpppppppppppppppppppppp
Answer:
∠ EFA
Step-by-step explanation:
complementary angles sum to 90°
∠ EFA and ∠ EFA form a right angle ad sum to 90°
Amina can read 35 pages in
0.5 hours. How many pages
will she read in 2.25 hours?
Answer: Should be 157.5 pages / 2.25 hours
Step-by-step explanation:
What is the area of this triangle ?
Answer:
8
Step-by-step explanation:
The formula for aera of a triangle is Square =1/2*base*height.
In the picture, the base of the triangle is 4, and the height of the triangle is 4, too.
Then we use the formula, the square of the triangle is 1/2*4*4=8
Factor the greatest common factor (GCF) from each polynomial. 2x^4 +8x^3+2x
Answer:
2x(x^3+4x^2+1)
Step-by-step explanation:
Answer:
2x(x³ + 4x² + 1)
Step-by-step explanation:
The coefficients are 2, 8, 2.
The GCF of the coefficients is 2
The variable parts are x^4, x^3, x
The GCF of the variable parts is x
The GCF of the entire polynomial is 2x
Now we factor out 2x:
2x^4 + 8x^3 + 2x = 2x(x³ + 4x² + 1)
PLEASE HELP FOR BRAINLIESTTT.
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If x machines are made, then the unit cost is given by the function [tex]C(x)= 1.1x^2-638x+103,259[/tex]. What is the minimum unit cost?
Do not round your answer.
Answer:
Answer:
Minimum Unit Cost = $14,362
Minimum Unit Cost = $14,0362
Jessica has 300 cm³ of material. She uses 12.6 cm³ to make a right triangular prism. She wants to make a second prism that is a dilation of the first prism with a scale factor of 3. How much more material does Jessica need in order to make the second prism? Select from the drop-down menu to correctly complete the statement. Jessica needs an additional Choose... cm³ of material to make the second prism.
Jessica needs another 52.8 cm^3 of material to make the other prism.
How much material will she use?For a right triangular prism of base B, height H, and length L, the volume is:
V = (1/2)*B*L*H
Now, we know that the first triangle has a volume of 12.6cm^3, then we can write:
V = 12.6cm^3 = (1/2)*B*L*H
If we dilate the prism with a scale factor of 3, the new dimensions are:
B' = 3B
L' = 3L
H' = 3H
Then the new volume is:
V' = (1/2)*(3B)*(3L)*(3H) = 27*(1/2)*B*L*H
And (1/2)*B*L*H is the original volume, so we can write:
V' = 27*V = 27*(12.6cm^3) = 340.2 cm^3
And she has 300cm^3 and she used 12.6cm^3, so the amount of material that she has left is:
M = 300 cm^3 - 12.6 cm^3 = 287.4 cm^3
Then the amount of material that she needs is:
340.2 cm^3 - 287.4 cm^3 = 52.8 cm^3
So Jessica needs another 52.8 cm^3 of material to make the other prism.
If you want to learn more about volumes, you can read:
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Page 16 of 24 NQF 1 (AET LEVEL 4); MATHEMATICAL LITERACY - SITE-BASED ASSESSMENT - LEARNER'S GUIDE When Stanley was born he weighed more than 25% of other boy babies, placing him on the (3.1.1)______ percentile. We were a little worried but when he weighed____ (3.1.2)___/ kg eight months later, placing him on the 50th percentile, we felt much better. Over the next 3.1.3____1_months he gained even more weight. He was 24,5 lb (pounds) and 25% of boys his age weighed more than him. By the time Stanley was one year and nine months old he weighed 31 lb. He had gained 3.1.4_____ Three months after his second birthday he was 15.1 kg. He was then placed on the 3.1.5____ percentile, which means he now weighed more than 3.1.6_____ percent of other boys his age. He was a very healthy toddler.
Answer:
i don't know i can't read it please writ properly
User=2 anor=5 to determine if the two expressions
are equivalent
1+2+)-12 8+2-6
Complete the statements
When r=2 the first expression is
When r=2 the second expression is 6
When r=5, the first expression is 21
When r=5. the second expression is
The expressions are not equivalent
Answer:
12x+4x-7y+45b+78a-44b+1a+1z+0d+1.1a+1.1a+2+2+2
Fill in the sentence below with the description that most specifically applies to the quadrilateral below.
Answer:
Square, because the lengths are the same number and the area will never change no matter which two sides you use.
The answer to the given problem can be stated as, "The quadrilateral is most specifically a square because all of its sides are equal and angles are right angle."
What is a square?A square is type of rectangle of which all sides are equal.
The diagonals of a square are perpendicular bisector of each other.
The given diagram of the quadrilateral clearly shows the following information,
All the angles of the quadrilateral are equal to right angle,
And, all of its sides are equal.
The given information matches with the property of a square which implies that the given quadrilateral is a square.
Hence, the given quadrilateral is a square.
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A grid shows the positions of a subway stop and your house. The subway stop is located at (0,-1), and your house is located at (-7,-4). What is the distance, to the nearest unit, between your house and the subway stop?
Answer:
Distance between (-7, 8) and (6, 4)
= √ [ (4-8)^2 + (6-(-7))^2 ]
= √ [ (-4)^2 + (13)^2 ]
= √ [ 16 + 169 ]
= √ [ 185 ]
= 13.60
which is 14 units
Step-by-step explanation:
Brainiest?
How does the diagram show that x + 4 has the same value as 17
Step-by-step explanation:
We can tell that x + 4 has the value of 17 by visualization.
[tex]\boxed{ \: \: \: \: \: \: x \: \: \: \: \: \: }\boxed{4}[/tex]
x is larger in length, we can identify that x has the value of 13 when 17 and 4 subtract.
Please answer the question in the picture
Will mark brainliest
PLEASE SHOW HOW YOU GOT THE ANSWERS THANK YOU!
GIVING BRAINLIEST!!
Answer:
a) 13 m
b) 0.4 mm
Step-by-step explanation:
side length = x, area = x²
a) x² = 169, x = √169 = 13 m
b) x² = 0.16, x = √0.16 = 0.4 mm
Pls help I’m confused
Answer:
3 3/8= 8×3+3=27/8
ans:27/8
2 4/1=4×2+1=9/4
ans:9/4
9 2/3=9×3+2=29/3
ans:29/3
Determine if true:
3x12+12=48
Answer:
True
Step-by-step explanation:
3x12=36
3x12=3636+12=48
3x12=3636+12=4848=48
Hecne, the equation is true.
Answer: The left side 48 is equal to the right side 48. So this means that 3 × 12 + 12=48 is TRUE!
Step-by-step explanation: