Answer:5(x-5/2)^2 - 125/4
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
PLS HELP TYSMMMM <33333333333333333333333333
Answer:
dvide 54 by 6 then the answer you get subrtact it by 3 then the answer you get multiply iy by 2 then thats will be your answer
Step-by-step explanation:
remember always use PEMDAS always add or subract wich ever comes first and if theres none of that then do Multiply or devide wich ever comes first ( btw your answer is ( 3 )
If $ 350 is divided in the ratio 2:5,
then the larger portion is
Answer:
250
Step-by-step explanation:
The total of the ratios is
2+5 = 7
Take the total amount and divide by 7
350 / 7 = =50
Multiply each amount by 50
2*50 : 5 * 50
100 : 250
The larger portion is 250
Answer:
Step-by-step explanation:
350 is total
2 parts : 5 parts (2+5 = 7 parts in all)
350 : 7 parts = $50 for each part
2parts = 2·50= $100
5 parts = 5·50 =$250
$100: $250
the larger portion is $250
the cube of the sum of 4 and 9 times x divided by the product of 5 times x and the difference of x and 1
A.
Answer and Step-by-step explanation:
Write down everything that is being asked into the math form of it.
[tex](4+9)^3 * \frac{x}{(5x)(x-1)}[/tex]
(I think that is what it is asking, how they word it is kind of weird).
Now solve.
[tex]36^3*\frac{x}{5x^2-5x}[/tex]
[tex]46656*\frac{1}{5(x-1)}\\\\\frac{46656}{5(x-1)}[/tex]<- I think this should be the answer.
#teamtrees #PAW (Plant And Water)
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
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
How do you solve a system of linear equations by graphing?
9514 1404 393
Explanation:
This is a self-answering question: you solve it by graphing the equations.
The solution is where the lines intersect. The point of intersection of the lines is the point that satisfies all the equations for the lines, hence is a solution to the system. If they do not intersect, there are no solutions. If the lines are coincident, there are an infinite number of solutions.
__
The equations can be graphed by any of a number of methods. (My favorite is to let a graphing calculator do it.) The method of choice depends on the coefficients and the form the equations are given in. Methods of graphing are a topic for a more lengthy discussion.
If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
1/9
2/3
54
96
Answer:
y = 2/3.
Step-by-step explanation:
y = constant nunber × x,
6 = constant number × 72,
Constant number is 1/12.
y = 1/12 × 8 = 2/3.
Thus the answer is 2/3.
A high school has 32 players on the football team. The summary of the players' weights is given in the box plot. Approximately, what is the percentage of players weighing greater than or equal to 233 pounds
Answer:
[tex]\% = 11.96\%[/tex]
Step-by-step explanation:
Given
See attachment for box plot
Required
Percentage greater than or equal to 233
From the box plot, the maximum is:
[tex]Max = 244[/tex]
The minimum is:
[tex]Min = 152[/tex]
Percentage greater than 233 is calculated as:
[tex]\% = \frac{Max - 233}{Max - Min}[/tex]
[tex]\% = \frac{244 - 233}{244-152}[/tex]
[tex]\% = \frac{11}{92}[/tex]
Express as percentage
[tex]\% = \frac{11}{92}*100\%[/tex]
[tex]\% = \frac{1100}{92}\%[/tex]
[tex]\% = 11.96\%[/tex]
a number cube numbered 1 to 6 and a coin is tossed at the same time. How many outcomes are possible? A.2 B.6 C.8 D. 12
Answer:
C 8
Step-by-step explanation:
the number cube has six sides and the coin has 2 sides
the number 3.14063 written correct to 3 decimal places is
Answer:
3.141
Step-by-step explanation:
3 decimals is .xxx, and you round the last digit up, so it becomes 3.141
Answer:
3.141
Step-by-step explanation:
since the forth number behind the decimal place is bigger than 5 we round up the third number.
I hope this helps in anyway.
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]
Help me Brainly ASAP
Answer:
0.0005729
Step-by-step explanation:
since the exponent is negative, move the decimal four units to the left to get:
0.0005729
Two letters from the word HAPPY are randomly chosen with replacement. What is the probability of choosing an H or P on either selection?
Answer:
20% chance of h
40% chance of p
Please help me out thank you!
Answer:
Step-by-step explanation:
(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:
A local salesman has forty-five stacks of magazines. If the salesman plans to sell three-fifths of the stacks, how many stacks will he have left?
Answer:
2
Step-by-step explanation:
Answer:
2
Step-by-step explanation:
What is my answer if I Add
-9+84+(-2)
Answer:
73
Step-by-step explanation:
-9+84+(-2) =
-9+82 =
= 73
Hope this helps
Find the surface area of each solid figure
Answer:
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:
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).
Help please and can you try to explain so I get it
9514 1404 393
Answer:
∠2 = 92°
Step-by-step explanation:
The angles marked with expressions in x are "alternate interior" angles, so are congruent.
-8x +144 = 2x +74
70 = 10x . . . . . . . . . . add 8x-74 to both sides
7 = x . . . . . . . . . . . . . divide by 10
The angles adjacent to angle 2 are ...
2x +74 = 2(7) +74 = 88 . . . . degrees
Angle 2 is the other angle of the linear pair with angle 2x+74 (or angle 1), so is ...
∠2 = 180° -88°
∠2 = 92°
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]
true or false:
the following equation is in standard form.
(x - 4.2)^2 - 3 = 0
Answer:
false
Step-by-step explanation:
standard form cannot contain fractions or decimals
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.
chads pay rate for babysitting is x=9x, where x is the number of hours he babysits and y is the number of dollars he earns. Horatio's pay rate is shown in the graph. Which statement is true
Answer: Chad Makes $1.50 more
Step-by-step explanation:
You have to divide 30 from 4 to see Horatio’s hourly rate which is 7.5 and then you will see that 9 - 7.5 is 1.5. I hope this helped
check your solution. (Some equations have no solution
If there is no solution, enter NO SOLUTION. there are Infinitely many solutions, enter INFINITELY MANY)
5 - x = 13?..
Answer:
x=8
Step-by-step explanation:
5-x=13
5-5=0
13-5=8
x stays because its a variable
x=8
one solution
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]
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)
