Answer:
about 1809.56 ft^3
Step-by-step explanation:
πr2h
= π×6^2×16
= 576π
= 1809.5573684677 feet3
Fill in the blank with a number to make the expression a perfect square.
Answer:
25
Step-by-step explanation:
if the expression is [tex]x^{2}[/tex] + 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).
A perfect square is 25.
What is a perfect square?In mathematics, a square number or perfect square is an integer that is the square of an integer; in other words, it is the product of some integer with itself. For example, 9 is a square number, since it equals 3² and can be written as 3 × 3
Given
if the expression is x²+ 10x + 25, then the binomial factors will be the same which is (x+5)(x+5).
To know more about perfect square refer to :
https://brainly.com/question/17744523
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If a Canada savings Bond is worth $6225 after 7 years, and was originally bought for $5000, what was the annual simple interest rate? Answer as a percentage.
[Formulas are,
[I = P, R, T]
[A = P + I]
[A = P(1 + R times T)
Answer:
3.5%
Step-by-step explanation:
Given data
A=$6225
P=$5000
T= 7years
R=???
Simple interest
A=P(1+rt)
substitute
6225=5000(1+7r)
6225=5000+35000r
collect like terms
6225-5000=35000r
1225=35000r
r= 1225/35000
r=0.035
Hence the rate is 0.035*100= 3.5%
if a circle has an area of 100 cm squared, what would be the area of a section of 45 degrees?
Answer:
45 degrees/360 degrees=1/8
So the area would be 1/8 *100=100/8=25/2
Step-by-step explanation:
Find the mean of the first 7 odd prime number?
Answer: 75/7 or 10.71 (rounded)
Step-by-step explanation:
Mean = Average
To find the average you should add all the numbers together and then divide it by the amount of numbers.
In this question, the formula is [tex]\frac{n_1+n_2+n_3+n_4+n_5+n_6+n_7}{7}[/tex]
----------------------------------------------------------------------------------------
The list of the first 7 odd prime numbers:
3, 5, 7, 11, 13, 17, 19
Now, add them together
3+5+7+11+13+17+19=75
Divide the sum by 7
75÷7=75/7=10.71 (rounded)
Hope this helps!! :)
Please let me know if you have any questions
please, I need your help!! I will mark correct answer as brainliest.
Answer:
3, -3, 0
Step-by-step explanation:
The exlcusions of x are where the denominator =0
So we can write the following equations
x²-9=0
and
5x=0
Let's solve the first one
x²-9=0
x²=9
x= ±3
and
5x=0
x=0
Therefore x cannot equal 3, -3, 0
Answer: 3, -3, 0
So, yea. The answer ontop is also correct
F(x) = 24/x^2. When x=8
Answer:
3/8
Step-by-step explanation:
F(8)=24/8^2=24/(8*8)=24/64=3/8
The angles shown are supplementary. (3x + 15)° 60° What is the value of x?
Answer:
x = 35
Step-by-step explanation:
Supplementary angles add up to 180°.
if (3x + 15)° and 60° are supplementary, then
3x + 15 + 60 = 180
now, you just have to solve the equation.
3x + 75 = 180
3x = 105
x = 35
Check
3*35 + 15 + 60 = 180
105 + 15 + 60 = 180
180 = 180
what is $78 discounted 12%
Answer:
$78 discount off 12% you would get $68.64. That is $9.36 off
Sports team is building a new stadium on a rectangular lot of land. It's a lot measures 10 X by five eggs and the sports field will be 6X by 2X, how much of the lot will be left over to build bleachers on
Answer:
4 X 2
8 unit²
Step-by-step explanation:
Given that:
Lot size = 10 X 5
Sport field = 6 X 2
Dimension of lot left :
(10 - 6) X (5 - 2)
4 X 2
Area left :
Length x width
4 * 2
= 8 units²
Find the side indicated by the variable. Round to the nearest tenth.
Answer:
b ≈ 25.6
Step-by-step explanation:
From the figure attached,
By applying tangent rule in the given triangle,
tan(32°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
tan(32°) = [tex]\frac{16}{b}[/tex]
b = [tex]\frac{16}{\text{tan}(32)}[/tex]
b = [tex]\frac{16}{0.62487}[/tex]
b = 25.605
b ≈ 25.6
Find the length of the
missing side of the triangle
to the nearest tenth.
I need help with this question
Answer:
a) 2.5 x 10^5
b) 8.1 x 10^4
c) 9.06 x 10^8
d) 1.034 x 10^10
Which graph represents the inequality you found in part i.?
Answer:
Graph A represents the inequality x > 6.
A
Hope this helps have a great day
4x³ + 9 + 16x² +4 + 12x³ + 17
combine like terms and order
Answer:
16x^3+16x^2+30
Step-by-step explanation:
simplify the expression
3x +4 +yxy +7y -10x + 6
Answer:
- 7x + 10 + y² + 7 y
Step-by-step explanation:
Hope this will help
Evaluate the function
F (-2) = x² - 5x + 2
Answer:
Step-by-step explanation:
Please answer fast!!!!!!!!
The half-life of carbon-14 is 5,730 years. Suppose a fossil is found with 30 percent as
much of its carbon-14 as compared to a living sample. How old is the fossil?
28,993 years
9,955 years
2,899 years
996 years
Answer:
Step-by-step explanation:
0.5^(t/5730) = 0.30
2^(-t/5730) = 0.30
-t/5730 = log₂0.30
t = -5730 log₂0.30 ≈ 9953 years
HELP ASAP ASAP ASAP PLS PLS JUST PLS
i hope my answer help you
1st=5x-100
2nd=1/3x-7
3rd=x²×4
GEOMETRY STUFF PLEASE ANDWER DUE IN 20 MINUTES
Answer:
Statement 2: m∠ ELD = (2x)°
Reason 4: Sum of angles on a straight line is equal to 180°
Statement 6: 2x = 56
Step-by-step explanation:
Since the first step talks about we being given m∠ ELG = 124°, the next thing we are given in the question is that; m∠ ELD = (2x)°
In statement 4,it is written that;
m∠ ELD + m∠ ELG = 180°
The reason behind this is that;
Sum of angles on a straight line is equal to 180°.
For reason 6, we are told it is a subtraction property.
Now the preceding statement gave us;
2x + 124 = 180
Which means that for subtraction property here, we will have;
2x = 180 - 124
2x = 56
-2/9 +1/5 help me please
Answer:
-1/45
Step-by-step explanation:
I did the equation okay hope this help!! <3
Answer:
1/40
Step-by-step explanation:
-2/9+ 1/5=0.2r
0.2r convert to fraction=1/40
hope that helps
plz mark as brainliest
what is the value of x
10= 3x - 6
X=
Answer:
[tex]x= \frac{16}{3}[/tex]
Step-by-step explanation: Can i get brain plz!
What is 9867 rounded to the nearest 1000
Answer:
10,000Hope it helps
Have a good day
A 34-foot pole is casting a shadow that is 17 feet long. How far is the top of the flag pole from the end of the shadow?
Answer:
108
Step-by-step explanation:
Can you help me solve this please.
Answer:
down five units, and left three units.
Step-by-step explanation:
The bottom corner moved down five units.
Then that point moved three units to the left.
It's the same for the other points too.
A right triangle has side lengths 5, 12, and 13 as shown below.
Use these lengths to find cos B, tan B, and sin B.
COS
B
13
5
5
tan
A
12
с
Sin
Answer:
c
Step-by-step explanation:
a. 3in, 4in, 5 in
5^2 ? 3^2 + 4^
25 ? 9 + 16
25 = 25
Because the two sides are equal, this is a right triangle.
b. 5in, 6in, 7in
7^2 ? 5^2 + 6^2
49 ? 25 + 36
49 < 61
Because 49 < 61, this is an acute triangle.
c. 8in, 9in, 12in
12^2 ? 8^2 + 9^2
144 ? 64 + 81
144 < 145
Because 144< 145, this is an acute triangle.
Use the midpoint formula to estimate the sales of Cars, Inc. in 2009, given the sales in 2008 and 2010. Assume that the sales of Cars, Inc. sales always follow a linear pattern. (Round to nearest whole number) Year Sales (in millions) 2008 240 2010 280 millions Enter the answer
Answer:
The estimated sales were $260 million
Step-by-step explanation:
Assume the endpoints of a segment are (x1,y1) and (x2,y2).
The midpoint (xm,ym) is calculated as follows:
[tex]\displaystyle x_m=\frac{x_1+x_2}{2}[/tex]
[tex]\displaystyle y_m=\frac{y_1+y_2}{2}[/tex]
The sales ov Cars, Inc. were (2008,240 million) and (2010,280 million). We need to use the midpoint to estimate the sales in 2009:
[tex]\displaystyle x_m=\frac{2008+2010}{2}=2009[/tex]
[tex]\displaystyle y_m=\frac{240+280}{2}=260[/tex]
The estimated sales were $260 million
what is the slope of a line that passes through the points (2,7) and (4,11)?
slope = y2-y1/x2-x1
slope = 11-7/4-2
slope = 4/2
slope = 2
help with rounding off please !:(
Answer:
(a) 3800
(b) 7000
(c) Does unit mean ones place? 31
(d) 82.8
(e) 1000
(f) 0.48
Step-by-step explanation:
Please teach me how to do this thank youuu.
Answer:
-10.2
Step-by-step explanation:
To find the equation you have to pick to random points, find the slope, and the y-intercept.
(1,-2) (2,2)
Slope = 2 - - 2 / 2 - 1
Slope = 4 / 1
Slope = 4
an estimate of the y-intercept is -2.2 meaning the function is f(x) = 4x - 2.2
when x is replaced by -2 like the question is requesting f(-2) = 4(-2) - 2.2
f(-2) = -10.2
* i really hope this made sense
Trey is currently in debt and the balance of his account is -$24. If his
sister Catherine is in three times as much debt as he is, what is the balance
of Catherine's account?