Answer:
24 [tex]m^{3}[/tex]
Step-by-step explanation:
Volume=l*b*h
as tank is half full so height of water will be 4m
and Voulme will be,
V=3*2*4=24 [tex]m^{3}[/tex]
while capacity of tank is,
V=3*2*8=48 [tex]m^{3}[/tex]
The volume of water in the tank, when it is half full, is 24 cubic meters.
What is volume?Volume in mathematics and physics refers to how much three-dimensional space is occupied by a substance or an object. It is a measurement of the overall volume of space contained inside a three-dimensional object's limits.
The volume of the rectangular tank is given by the formula:
V = l x b x h
where l is the length, b is the breadth, and h is the height of the tank.
Substituting the given values, we get:
V = 3m x 2m x 8m = 48 cubic meters
If the tank is half full, then the volume of water in the tank is:
Vw = (1/2) * V = (1/2) x 48 = 24 cubic meters
Therefore, the volume of water in the tank when it is half full is 24 cubic meters.
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find the sum of the fractions below. 5/8 + 1/n = 7/8 A. 3 B. 3 5/12 C. 3 4/9 D. 4
Answer:
D. 4
Step-by-step explanation:
1) Subtract 5/8 from both sides.
1/n = 7/8 - 5/8
2) Simplify 7/8 - 5/8 to 1/4.
1/n = 1/4
3) Multiply both sides by n.
1 = 1/4n
4) Simplify 1/4n to n/4.
1 = n/4
5) Multiply both sides by 4.
1 * 4 = n
6) Simplify 1 * 4 to 4.
4 = n
7) Switch sides.
n = 4
Check Answer:
5/8 + 1/n = 7/8
1) Let n = 4.
5/8 + 1/4 = 7/8
2) Simplify 5/8 + 1/4 to 7/8.
7/8 = 7/8
Directions: Match each image of a ray with the correct way to write it.
Answer:
1 + G = Push in p To Much P
Step-by-step explanation:
g= gunnaaa 1+gunnaaa = push ing P
Order from least to greatest the given numbers.
-5,13,4,-10,-1
A)
-5,-1,-10,4,13
B)
-10, 4, 13,-1,-5
C)
-10,-5, -1, 4, 13
D)
-5, -10,-1, 13,4
Answer:
Option C) is correct......
1
Maurice drove 48 miles north and then 36 miles west. Find the
shortest distance from the point where he ended up to his starting
point.
Answer: 60 miles
Step-by-step explanation: If you draw it out you get a triangle with side lengths 48 and 36 and you need to find the hypotenuse.
Use pythagorean's theorem a^2+b^2=c^2 or 48^2+36^2=c^2 and you get that the hypotenuse=60
Which pieces of information may be found on a person's credit report?
Select each correct answer.
past due bills
social security number
marital status
medical history
criminal record
mortgage payment
Answer:
Past due bills
social security number
mortgage payment
Find
a
and
d
for an arithmetic sequence where the 5th term is 10 and the 6th term is 8.
Answer:
Step-by-step explanation:
Arithmetic sequence:
[tex]\boxed{a_n =a + (n-1)*d)}[/tex]
a₅ = 10 a + 4d = 10
a₆ = 8 a + 5d = 8
Multiply the equation (I) by (-1) and then add. 'a' will be eliminated and we can find the value of 'd'
(I)*(-1) -a - 4d = -10
(II) a + 5d = 8 {Now add}
d = -2
Substitute d = -2 in equation (I)
a + 4*(-2) = 10
a - 8 = 10
a = 10 + 8
a = 18
a = 18 , d = -2
Sequence: 18 ,16 , 14 , 12 , 10 , ......
6=sqrt x^2+3-x
steps included please
Answer:
-3/2
Step-by-step explanation:
6=|x|+3-x
move the terms
-|x|+x=3-6
-|x|+x=-3
-x+x=-3 , x > 0 (put a line under >)
-(-x)+x=-3 , x < 0
-3/2 , x < 0 find the intersection
x= -3/2
if you dont want it as a fraction you can do -1.5 in decimal form
Question
The dimensions of a cereal box are shown below.
32 cm
9 cm
21 cm
What is the volume of the box?
Answer:
6048 cm2Step-by-step explanation:
32*9*21
Finding volume is simple as pie for a cube.
Length*Height*width
When you multiply a whole number by 10 to the 5th power , will there always be the same number of
zeros before the decimal point as in your answer to Part A? Explain your reasoning.
Answer:
Answer:
Step-by-step explanation:
a whole number can be ANY counting number
10 to the 5th power = × 10 × 10 × 10 × 10 × 10
when you multiply by any positive power of ten, you are making it really big
23 × 10 × 10 × 10 × 10 × 10 = 2,300,000
30 × 10 × 10 × 10 × 10 × 10 = 3,000,000
100 × 10 × 10 × 10 × 10 × 10 = 10,000,000
the pattern is the whole number followed by 5 zeros that show 5 place values
Dr. Weinstein took 50 ounces of a 20% silver
alloy and mixed it with a 40% silver alloy to get
a 30% silver alloy. How many ounces of the 40%
silver alloy did he use?
Answer:
I think it is 100
Answer:
Step-by-step explanation:
The answer is 50 ounces
Because 30% silver is right in between 20% silver and 40% silver, it would have to be the same amount to be 30%
PLEASE HELP ME ON THIS
Answer:
About 154 Square
Explanation:
To find an area of a circle you multiply pi by the radius squared so 7² = 49 and 49 x 3.14 = 153.86 which is the closest to 154.
It takes Kim 7 hours to proof a chapter of Hawkes Learning Systems' Introductory Algebra book and it takes Harding 2 hours. How long would it take them working together? (Round your answer to two decimal places.)
A b c d or e what one will give brainlest
Solve the following quadratic by
completing the square.
f(x) = x2 + 10x - 1
Answer:
x = -5 plus/minus sqrt( 26 )
Step-by-step explanation:
Let's remember the binomial square formula
A^2 + 2AB + B^2 = (A + B)^2
We have:
x^2 + 2*5x -1
Hence, if we replace
A = x
B = 5
we get a perfect square: x^2 + 2*5x + 25 = (x + 5)^2. [++]
Based on this reasoning, let's set f(x) = 0
x^2 +10x -1 = 0
Let's add 26 on both terms:
x^2 +10x +25 = 26
Based on [++]: (x + 5)^2 = 26
Square root on both sides
(x + 5) = plus/minus sqrt (26)
x = -5 plus/minus sqrt (26)
The table shows the results of a survey on the preferred flavor of ice cream. Based on this survey, what is the probability that an adult prefers chocolate ice cream?
A) 55/52
B) 55/54
C) 55/107
D) 55/119
Answer:
d
Step-by-step explanation:
cause this means that it is rise over run
M log_5(8) rewrite to log _?(?)
Answer:
[tex]\log_5 8^{M}[/tex]
Step-by-step explanation:
[tex]\text{We know that,}~ b\log_a c = \log_a c^b[/tex]
Given the 4 points below,
identify what shape is
formed and how you
found your answer.
A(-1,0), B(0, 2), C(4,0), and
D(3,-2)
basically it's a quadrilateral
hope it really helps..!!
Can someone help me please?
what's the estimate of 6.48 + 9.34 and what's the estimate 15.71 + 12.2
Answer:
Your Estimated Equations and Answers: 6+9= 15 ; 16+12 = 28
Step-by-step explanation:
Estimating can be equivalent to rounding. This is because you're trying to find an approximate number or sum.
6.48 + 9.34 is your first question.
You should round it to the nearest whole number.
6.48 ~ 6 and 9.34 ~ 9
*Rounding rules applied here*
(~ this sign is the approximate or rounded to symbol)
Now, do 6+9 =
6+9= 15
______________________________________________
15.71 + 12.2 is your next question.
Same as last, round to the nearest whole number.
15.71 ~ 16 and 12.2 ~ 12
Now, do 16+12
16+12 = 28
Find the greatest common factor of 34 and 36.
Answer:
2
Step-by-step explanation:
Factors of 34 include : 1,2,17 and 34
Factors of 36 are : 1,2,3,4,6,9,12,18,36
The only two common are 1 and 2
2 is greater tha one
So the gcf is 2.
Brainliest would be appreciated
Answer:
The greatest common factor is 2.
Step-by-step explanation:
You need to find the greatest common factor between 34 and 36.
Factors of 34: 1, 2, 17, and 34.
1*34=34
2*17=34
17*2=34
34*1=34
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, and 36.
Therefore, the greatest common factor of 34 and 36 is 2, which is our answer.I hope this helps! Let me know if you have any questions.
Emily recently started a part time job. She is saving for a car, which she will need when she attends college next year. She plans to deposit $400 at the end of each month into an account that 3.6% per year, compounded monthly . How much will Emily have saved at the end of six months? pays
Answer:
$2418.07
Step-by-step explanation:
Problems involving the time-value of money are conveniently solved using a TVM app on a suitable calculator or spreadsheet. The result of doing that is shown in the attachment.
__
If you would like to compute the value of Emily's account by hand, the annuity formula is the one you want.
A = Pn((1 +r/n)^(nt) -1)/r . . . . where r is the annual interest rate, n is the number of times per year it is compounded (12), t is the number of years (1/2), and P is the periodic payment into the acccount (400).
Using the given values in the formula, we have ...
A = 400(12)((1 +0.036/12)^(12/2) -1)/0.036 = 4800×(1.003^6 -1)/0.036
A ≈ 2418.07
At the end of 6 months, Emily will have saved $2418.07.
write 12/root2 + root18 in the form broot2 where b is an interger
[tex]\dfrac{12}{\sqrt 2} + \sqrt{18}\\\\\\=\dfrac{12 + \sqrt{18 \times 2}}{\sqrt 2}\\\\\\=\dfrac{12+\sqrt{9 \times 4}}{\sqrt 2}\\\\\\=\dfrac{12+3 \times 2}{\sqrt 2}\\\\\\=\dfrac{18}{\sqrt 2}\\\\\\=\dfrac{18\sqrt 2}{\left(\sqrt 2\right)^2}\\\\\\=\dfrac{18\sqrt 2}2\\\\\\=9\sqrt 2[/tex]
Megan wants to buy a designer handbag and plans to earn the money from babysitting. Suppose the interest rate is 8% and she is willing to wait one year to purchase the bag. How much babysitting money will she need to earn today to buy the bag for $400 one year from now? (Enter just the number in dollars without the $ sign or a comma and round off decimals to the closest integer, i.e., rounding $30.49 down to $30 and rounding $30.50 up to $31.)
Answer:
370
Step-by-step explanation:
FV = PV ( 1 + i) i = interst in decimal
400 = PV ( 1.08)
PV = 400 / 1.08 =
Find an equation of the line that goes through the points (8,-45) and (2,-9). Write your answer in the form y = mx + b.
Linear equations are commonly organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = the y-intercept (the value of y when x=0)To find the equation of a line given two points:
Determine the slope of the line using the slope formulaPlug the slope into [tex]y=mx+b[/tex]Determine the y-intercept by solving for bPlug the y-intercept back into the equationSolving the QuestionWe're given:
The line passes through the points (8,-45) and (2,-9)First, determine the slope using the following formula:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex] where the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
⇒ Plug in the given points (8,-45) and (2,-9):
[tex]m=\dfrac{-45-(-9)}{8-2}\\\\m=\dfrac{-45+9}{8-2}\\\\m=\dfrac{-36}{6}\\\\m=-6[/tex]
Therefore, the slope of the line is -6. Plug this into [tex]y=mx+b[/tex] as m:
[tex]y=-6x+b[/tex]
Now, determine the y-intercept:
[tex]y=-6x+b[/tex]
⇒ Plug in one of the given points as (x,y) and solve for b:
[tex]-9=-6(2)+b\\-9=-12+b\\3=b[/tex]
Therefore the y-intercept of the line is 3. Plug this back into [tex]y=-6x+b[/tex]:
[tex]y=-6x+3[/tex]
Answer[tex]y=-6x+3[/tex]
find the binomial factor s^2+10s+25
[tex]s^2+10s+25\\\\=s^2+2\cdot 5 \cdot s +5^2\\\\=(s+5)^2\\\\=(s+5)(s+5)[/tex]
A cat eats 2/3 of a tin of cat food every day. How many tins of cat food will she eat in 1 week?
First, how many days are in a week?
7 days are in a weekSo 7x 2/3First, Convert any mixed numbers to fractions.
Then your initial equation becomes:
2/3×7/1
Applying the fractions formula for multiplication,
=2×7 x 3×1
=14/3
Simplifying 14/3, the answer is
4 and 2/3
Therefor, your answer is 4 2/3
Jason opened the triangular pyramid-shaped box to cover it with wrapping paper. How much wrapping paper will he need?
Answer:
How might the situation lead to bullying?
Step-by-step explanation:
How might the situation lead to bullying?
the answer B
What is the inverse of f(x)=3-x/7
Answer:
I got f^-1 (x) = -7x + 21
Step-by-step explanation:
1. How many degrees are in this angle, which is one-fourth of the circle?
Answer: 90 degrees
Step-by-step explanation: A circle is 360 degrees so since that is 1/4 you can divide
360/4 = 90 (: hope this helps
Answer:
90* x 4 = 360*
360* / 4 = 90*
Step-by-step explanation:
A circle has 360* all around.
In the angle that was drawn, it is 90*
The degrees for the space outside of 90* is x
x = ? 360* - 90* = 280* x = 280*
hope this helped
Evaluate the following expression
(10 + 2) = 6 + 53
Answer:12=59
Step-by-step explanation: