Answer:
Step-by-step explanation:
Area = pi r^2
r = 7 cm
pi = 3.14
Area = 3.14 * 7^2
Area = 3.14 * 7*7
Area = 153.86
Area = 153.9 rounded.
what is equivalent to 7w +7w
Answer:
14w
Step-by-step explanation:
Hope this helps
Helppppppppppppppppppppppppppppppppppppp
Answer:
diiiiifiiiciiillllllñ
Answer:
Step-by-step explanation:
a - yes
b - yes
c - yes
d - yes
e - yes
an 18-foot wire is to be cut so that the longer piece is 5 times longer than the shorter piece. find the length of each peice
Answer:
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Step-by-step explanation:
Create a system of equations where x is the length of the longer piece and y is the length of the shorter piece:
x + y = 18
x = 5y
Solve by substitution by substituting 5y as x into the first equation:
x + y = 18
5y + y = 18
Solve for y:
6y = 18
y = 3
So, the shorter piece is 3 feet long. Since the longer piece is 5 times longer, find its length by multiplying this by 5:
3(5)
= 15
So, the longer piece is 15 feet long.
The longer piece is 15 feet long and the shorter piece is 3 feet long.
Please help translate into an algebraic expression.
Five more than the product of 15 and a number.
Answer:
15a + 5
Step-by-step explanation:
Find the slope of the line that passes through the points (-5,-6) and (5,10)
An inverted pyramid is being filled with water at a constant rate of 70 cubic centimeters per second. The pyramid, at the top, has the shape of a square with sides of length 8 cm, and the height is 15 cm. Find the rate at which the water level is rising when the water level is 4 cm.
Answer:
[tex]\frac{dh}{dt}=1.45cmsec^{-1}[/tex]
Step-by-step explanation:
Rate of Water Fill [tex]R=\frac{dv}{dt}=70cm^3[/tex]
Length [tex]l=8cm[/tex]
Height [tex]H=15cm[/tex]
Water level [tex]L_w= 4cm[/tex]
Generally the equation for relationship b/w h and a is mathematically given by
Since by the properties of similar triangles
[tex]k=\frac{h}{1/2}[/tex]
Let
[tex]h=15cm \\\\a=8cm[/tex]
[tex]k=\frac{h}{1/2a}[/tex]
[tex]k=\frac{15}{4}[/tex]
Therefore
[tex]\frac{h}{1/2a}=\frac{15}{4}[/tex]
[tex]a=\frac{8h}{15}[/tex]
Generally the equation for volume of Pyramid is mathematically given by
[tex]V=\frac{1}{3}ah^2h[/tex]
Subsitute a
[tex]V=\frac{1}{3}(\frac{8h}{15})h^2h[/tex]
Therefore
[tex]\frac{dv}{dt}=\frac{(\frac{1}{3}(\frac{8h}{15})h^2h)}{dt}[/tex]
[tex]\frac{dv}{dt}=\frac{64}{255}(h^2\frac{dh}{dt})[/tex]
Since
[tex]\frac{dv}{dt}=70cm^3s^{-1}[/tex]
Therefore
[tex]70cm^3s^{-1}=\frac{64}{255}(h^2\frac{dh}{dt})[/tex]
[tex]\frac{dh}{dt}=\frac{70}{169}*\frac{225}{64}[/tex]
[tex]\frac{dh}{dt}=1.45cmsec^{-1}[/tex]
3.4 0.8 0.6 find the volume of the rectangular prism in cubic feet
Given:
Consider the dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft.
To find:
The volume of rectangular prism.
Solution:
The volume of a cuboid or rectangular prism is:
[tex]V=l\times b\times h[/tex]
Where, l is length, b is breadth and h is height of the prism.
The dimensions of the rectangular prism are 3.4 ft by 0.8 ft by 0.6 ft. So, the volume of the prism is:
[tex]V=3.4\times 0.8\times 0.6[/tex]
[tex]V=1.632[/tex]
Therefore, the volume of the rectangular prism is 1.632 cubic feet .
1
Calculate the height, A. and the width, B. of the spice
cabinet shown in the figure. Don't forget to include the
1
--inch thickness of the wood where needed. The symbol
hardwood for all framing parts.
" means inches,
This
3
The height, A, of the spice cabinet is inches
(Type an integer, proper fraction, or mixed number.)
on
Answer:
Height A = [tex]12\frac{3}{4}[/tex] inches
Step-by-step explanation:
Height A = Sum of widths of all sections of the cabinet + thickness of the wood
Height A = [tex]1\frac{1}{4}+\frac{1}{4}+4\frac{1}{2}+\frac{1}{4}+4\frac{1}{2}+2[/tex]
= [tex](1+4+4+2)+(\frac{1}{4}+\frac{1}{4}+\frac{1}{2}+\frac{1}{4}+\frac{1}{2})[/tex]
= [tex]11+(\frac{1+1+2+1+2}{4} )[/tex]
= [tex]11+\frac{7}{4}[/tex]
= [tex]11+1\frac{3}{4}[/tex]
= [tex]11+1+\frac{3}{4}[/tex]
= [tex]12\frac{3}{4}[/tex] inches
An English teacher needs to pick 4 books to put on his reading list for the next school year. He has narrowed down his choices to 8 novels and 6 plays.
a. How many different ways can he choose the books to put on the list if he wants to include at least two plays?
b. Find the standard deviation.
Answer:
A) 3 ways
B) sorry don't know.
Step-by-step explanation:
2 P and 2 N
3P and 1 N
4P
So 3 ways.
The sides of which diagram are correctly labeled with respect to angle A?
A right triangle is shown. Angle A is opposite to the side labeled adjacent.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled opposite. The side labeled adjacent is opposite to the right angle.
A right triangle is shown. Angle A is opposite to the side labeled hypotenuse. The side labeled adjacent is opposite to the right angle.
9514 1404 393
Answer:
(b) Angle A is opposite to the side labeled opposite. The hypotenuse is opposite to the right angle.
Step-by-step explanation:
The hypotenuse is always opposite the right angle.
The side considered "opposite" is opposite the angle of interest, angle A in this case.
Answer:
Other person is correct
Step-by-step explanation:
Dan has an old lawn mower! It takes him 1 hour to mow the whole lawn. How many square yards does Dan cut in one minute? Hints: There are 60 minutes in 1 hour. To find the unit rate divide the area of the lawn by the amount of time it takes Dan to mow the whole lawn.
40 square yards per minute
400 square yards per minute
2400 square yards per minute
240 square yards per minute
Answer: You didnt mention how much Dan mows in 1 hour, but just do that divided by 60
Step-by-step explanation:
2x+5y=20 y=-0.4x-1 i really need help over here
Answer:
x=6.25 and y=1.5
Step-by-step explanation:
Given equation
2x+5y=20
y=0.4x-1
Putting the value of y in above equation
2x+5(0.4x-1)=20
2x+2x-5=20
4x-5=20
4x=20+5
4x=25
x=6.25
Now,
y=0.4x-1( Given)
Putting the value of x=6.25 in above equation y
y=0.4(6.25)-1
y=2.5-1
y=1.5
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting: F minimum
Complete Question
A sensor output was acquired for 32 seconds at a rate of 200 Hz and spectral analysis was performed using FFT. If the data set was split into 5 segments (each 6.4 seconds long), what is the resulting:
a)F minimum
b) F maximum
c) Frequency resolution
Answer:
a) [tex]Fmax=100Hz[/tex]
b) [tex]Fmin=0Hz[/tex]
c) [tex]F_r=0.0313[/tex]
Step-by-step explanation:
From the question we are told that:
Time [tex]t=32sec[/tex]
Frequency[tex]F=200Hz[/tex]
Segments [tex]\mu=5[/tex]
Generally the equation for Frequency Range is mathematically given by
[tex]Fmax=\frac{F}{2}[/tex]
[tex]Fmax=100Hz[/tex]
Therefore
a) [tex]Fmax=100Hz[/tex]
b) [tex]Fmin=0Hz[/tex]
c)
Generally the equation for Frequency Resolution is mathematically given by
[tex]F_r=\frac{F}{N}[/tex]
Where
N=The Total dat points
N=Sampling Frequency *Time
[tex]N=200*32[/tex]
[tex]N=6400[/tex]
Therefore
[tex]F_r=\frac{200}{6400}[/tex]
[tex]F_r=0.0313[/tex]
HELP TIMER Write the equation of a hyperbola centered at the origin with x-intercept +/- 4 and foci of +/-2(squareroot 5)
Given:
x-intercepts of the hyperbola are ±4.
The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].
Center of the hyperbola is at origin.
To find:
The equation of the hyperbola.
Solution:
The general equation of a hyperbola:
[tex]\dfrac{(x-h)^2}{a^2}-\dfrac{(y-k)^2}{b^2}=1[/tex] ...(i)
Where, (h,k) is the center of the hyperbola, ±a are x-intercepts, [tex](\pm c,0)[/tex] are foci.
Center of the hyperbola is at origin. So, h=0 and k=0.
x-intercepts of the hyperbola are ±4. So,
[tex]\pm a=\pm 4[/tex]
[tex]a=4[/tex]
The foci of hyperbola are [tex]\pm 2\sqrt{5}[/tex].
[tex]\pm c=\pm 2\sqrt{5}[/tex]
[tex]c=2\sqrt{5}[/tex]
We know that,
[tex]a^2+b^2=c^2[/tex]
[tex](4)^2+b^2=(2\sqrt{5})^2[/tex]
[tex]16+b^2=20[/tex]
[tex]b^2=20-16[/tex]
[tex]b^2=4[/tex]
Taking square root on both sides, we get
[tex]b=\sqrt{4}[/tex] [b>0]
[tex]b=2[/tex]
Substituting [tex]h=0,k=0,a=4,b=2[/tex] in (i), we get
[tex]\dfrac{(x-0)^2}{4^2}-\dfrac{(y-0)^2}{2^2}=1[/tex]
[tex]\dfrac{x^2}{4^2}-\dfrac{y^2}{2^2}=1[/tex]
Therefore, the correct option is (d).
(a)
There are 3 liters of orange juice at a school party. 10 students want to drink all of the orange juice, and they all want to get exactly the same amount. How much orange juice can each get?
Answer: 0.3
Step-by-step explanation:
Sara makes a triangle using three sticks of lengths 20 cm, 21 cm, and 28 cm. Is the triangle a right triangle ? Please explain
Answer:
No, 20^2 + 21^2 ≠ 28^2
Step-by-step explanation:
PLZZZZ HELP THIS DUE TODAY BEFORE 8:00 .(05.05)The width of a rectangle is shown below:
A coordinate plane with a point A at negative 3, 3 and C at negative 3, negative 2.
If the area of the rectangle to be drawn is 20 square units, where should points B and D be located if they lie to the right of points A and C?
B(1, 3) and D(1, −2)
B(3, 3) and D(3, −2)
B(2, 3) and D(2, −2)
B(1, 2) and D(1, −3)
Answer:
the first option (1,3) and (1,-2)
Step-by-step explanation:
it is unusual to have neighboring corners of a rectangle called A and C. normally the neighbors of A are B and D. but ok.
A and C have the same x coordinate (-3). so, A is directly above C. the distance between them is therefore only the difference between their y coordinates.
AC = 3 - -2 = 3 + 2 = 5
the area of the rectangle is length × width, so
20 = AC × AB = 5 × AB
AB = 20/5 = 4
in a rectangle all angles are 90 degrees.
so, to find B we need to draw a line of 4 units from A to the right, perpendicular to AC. that means that now the y coordinate is the same as for A (3), and the distance to A is just the difference in the x coordinate :
4 = Bx - -3 = Bx + 3
Bx = 1
=> B = (1, 3)
to maintain the rectangle shape now D has to be right under B and to the right of C with the same distances
DB = AC = 5
DC = AB = 4
due to the special orientation of the rectangle (the sides are all parallel to the x- and y-axis) we can simply add the distances to the corresponding coordinates, or just deduct from the other points :
D has to have the same x coordinate as B (1).
D has to have the same y coordinate as C (-2).
so, D = (1, -2)
The point ( - 14,12) is on the graph of y = f(x). Find the corresponding point on the graph of y= qe), where gex) = arcus.
The corresponding point on the graph of y = g(x) is
(Simplify your answer. Type an ordered nair
Answer:
[tex](-14,4)[/tex]
Step-by-step explanation:
Given
[tex](-14,12)[/tex] [tex]\to[/tex] [tex]y =f(x)[/tex]
[tex]g(x) = \frac{1}{3}f(x)[/tex]
Required
The corresponding point on [tex]y = g(x)[/tex]
[tex](-14,12)[/tex] [tex]\to[/tex] [tex]y =f(x)[/tex] means:
[tex]12 = f(-14)[/tex]
or
[tex]f(-14)=12[/tex]
[tex]g(x) = \frac{1}{3}f(x)[/tex] is calculated
[tex]g(-14) = \frac{1}{3} * f(-14)[/tex]
[tex]g(-14) = \frac{1}{3} * 12[/tex]
[tex]g(-14) = 4[/tex]
So, the corresponding point on [tex]y = g(x)[/tex] is: [tex](-14,4)[/tex]
What is the equation of the line through (4, 2) and (0, -2)?
Answer:
y=x-2
Step-by-step explanation:
4-0=4 = (change in y)
2--2=4 = (change in x)
change in y/change in x=4/4=1=x
gradient = x
y=x+c
Subtitute any coordinate
2=4+c
c=-2
so
y=x-2
Answer:
y=x-2
Step-by-step explanation:
Slope Intercept Form
y=x-2
Find Slope using equation below
Chose points I chose 2 as y2 and -2 as y2
4 is x2 and 0 as x1
Slope is 1
now choose a point and plug it in for x and y and plug slope in Equation
I chose (4,2)
2=4+b
subtract 4 by both sides
-2=b
Slope Form
So... y=x-2 is the answer
Multiply and combine like terms to determine the product of these polynomials. (3x−6)(4x+1)
two mangoes cost $60.00. what is the cost of 5 mangoes
Answer:
Im not 100% sure but i think it would be $150.00
Step-by-step explanation:
Because if 2 mangos are $60
whats half of 60$
30
so 1 mango = $30
the person wants 5 mango so
multiply
$30*5
which would give you
$150.00
Answer:
$150
Step-by-step explanation:
If 2 mangoes cost $60, then 1 mango would be 60/2=30.
5 mangos would be 30×5=$150
PLEASE HELP!!!
WORTH 20 POINTS!!!
WILL MARK BRAINLIEST!!!
Use the triangle below to answer the following questions.
Thank you!
Answer: 1. 1/2
2. √3\2
3. √3
Suppose Duarte is one of the ten cities in the air pollution survey. We found that the number of manufacturing enterprises employing 20 or more workers in Duarte is 200, and the annual mean concentration of sulfur dioxide in Duarte is 18 micrograms per cubic meter. What is the residual for the city of Duarte
Kindly check complete question in the attached picture below.
Answer:
2.2236
Step-by-step explanation:
From the R output given, we can obtain the linear regression model in the form ;
y = bx + c
Intercept, c = 9.4764
Slope, b = 0.0315
x = number of manufacturing enterprise employing 20 or more workers
y = annual mean concentration of Sulphur dioxide
Hence, The regression equation model as obtained from the R output is :
y = 0.0315x + 9.4764
For the city of Duarte;
x = 200
Actual annual mean concentration of Sulphur dioxide is 18 micrograms per cubic meter.
Residual = Actual value - predicted value
Prediction using the regression equation to obtain the predicted annual mean concentration ;
The predicted y value, when x = 200
y = 0.0315(200) + 9.4764
y = 15.7764
The residual, if actual annual concentration = 18
Y residual = 18 - 15.7764 = 2.2236
Find the volume in the shape
Answer:
1205.76 m^3
Step-by-step explanation:
given:
radius = 8m
height = 18 m
volume of a cone = πr2h/3
=3.14 * (8)^2 * 18/3
=3.14 *64 *18/3
=3617.28/3
=1205.76 m^3
Samuel bought an 8-ounce bag of lettuce and two 1-pound bags of carrots.
Which is the total weight of the lettuce and carrots in ounces?
10 ounces
12 ounces
40 ounces
72 ounces
Part B
If he eats half of the total, how much did he eat?
2 pounds 4 ounces
1 pound 8 ounces
1 pound 4 ounces
4 pounds 1 ounce
Answer:
a.40 ounces b.18 and 12 ounces
Step-by-step explanation:
A.40 ounces because 2 pounds into ounces is 32 oz+8 oz=40 oz
b. 2 pounds is 32oz+4oz=36/2=18oz
1 pound 16+8=24/2=12oz
Element X is a radioactive isotope such that its mass decreases by 73% every
hour. If an experiment starts out with 680 grams of Element X, write a
function to represent the mass of the sample after t hours, where the rate of
change per minute can be found from a constant in the function. Round all
coefficients in the function to four decimal places. Also, determine the
percentage rate of change per minute, to the nearest hundredth of a percent.
Mi
Answer:
Step-by-step explanation:
The element decay percentage rate of change 2.22% per minute.
What is radioactive isotope?
Radioisotope, radionuclide, or radioactive nuclide, any of several species of the same chemical element with different masses whose nuclei are unstable and dissipate excess energy by spontaneously emitting radiation in the form of alpha, beta, and gamma rays.
Here, mass decreases by 73% every hour.
Weight of element X is 680 grams.
According to question,
f(t) = 680 (1 - 73%)ⁿ
f(t) = 680 (1 - 0.73)ⁿ
f(t) = 680 X 0.27ⁿ
f(t) = 680 X 0.9778ⁿ
f(t) = 680 X (1 - 0.02322)ⁿ
Thus, the element decay percentage rate of change 2.22% per minute.
Learn more about radioactive isotope from:
https://brainly.com/question/1907960
#SPJ2
GIVING OUT BRAINLIEST HELP ME OUT PLSSS
Answer:
90 degrees but mom not too sure
A mountaineer climbed 1,000 feet
Answer:
please complete your question
Answer:
its a (i had to find ur question online hopefully i found the right one)
Determine if each proportion on the left is True or False. Answer options on the right side may be used more than once.
True
False
28/16=14/8
3/5=9/15
4/32=10/78
3/4=12/16
Answer:
28/16=14/8 true
3/5=9/15 true
4/32=10/78 false
3/4=12/16 true
Step-by-step explanation:
DID IT ON BRIDGE
m) Factorise:
x2/9+1+9/x2
Answer:
Cannot be factored
Step-by-step explanation:
Given
[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2}[/tex]
Required
Factorize
Take LCM
[tex]\frac{x^2}{9} + 1 + \frac{9}{x^2} = \frac{x^4+9x^2+81}{9x^2}[/tex]
The expression cannot be factored