Set up:-
Find volume of closet storageFind volume of each cubeDivide and get no of cubesSolution:-
Here it's a cuboid
Length=L=6.5ftBreadth=B=4ftHeight=H=12.5ftVolume:-
[tex]\\ \rm\rightarrowtail V=LBH[/tex]
[tex]\\ \rm\rightarrowtail V=6.5(4)(12.5)[/tex]
[tex]\\ \rm\rightarrowtail V=325ft^3[/tex]
For cubes
sides=0.25ftVolume:-
[tex]\\ \rm\rightarrowtail V=side^3[/tex]
[tex]\\ \rm\rightarrowtail V=(0.25)^3[/tex]
[tex]\\ \rm\rightarrowtail V=0.015625ft^3[/tex]
Now
Total cubes:-
[tex]\\ \rm\rightarrowtail \dfrac{325}{0.015625}[/tex]
[tex]\\ \rm\rightarrowtail 20800cubes[/tex]
An aircraft (at Z) is spotted by two observers (at X and Y) who are L=1750 feet apart . As the airplane passes over the line joining them, each observer takes a sighting of the angle of elevation to the plane, as indicated in the figure. If If A=30 degrees and B=20 degrees how high is the airplane?
Answer:
at aircraft(at z) sported by
construct the exponential function that contains the points (0,2) and (3,54)
The exponential function that passes through (0,2) and (3,54) is a growth function
The exponetial function is y = 2 * 3^x
How to construct the exponential function?The points are given as:
(x,y) = (0,2) and (3,54)
An exponential function is represented as:
y = ab^x
Substitute the points in the equation
2 = ab^0 and 54 = ab^3
Solve 2 = ab^0
a = 2
Substitute 2 for a in 54 = ab^3
54 = 2b^3
Divide by 2
27 = b^3
Take the cube roots of both sides
b = 3
So, we have:
y = ab^x
This becomes
y = 2 * 3^x
Hence, the exponetial function is y = 2 * 3^x
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Answer:
what is your question??????
Step-by-step explanation:
If 10 mm = 1 cm, how many millimeters are in 22 centimeters?
Group of answer choices
Answer:
220 millimeters
Step-by-step explanation:
If you take 22 cm * 10mm/1cm you get 220 mm
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In circle O. AD and BE are diameters. The measure of arc AB is 55° and the measure of arc CD is 25° B с F D E What is the measure of BC ? 090 O 110 O 100 O 80
Answer:
100°
Step-by-step explanation:
the total of all angles around O on one side of AD is 180° (as that would represent a half-circle).
and the sum of the arc angles AB + BC + CD covers the whole 180°.
so, we have
180 = 55 + BC + 25
180 = 80 + BC
BC = 100°
What is the slope-intercept equation for this line?
y = [?]x+ []
Answer:
y=3x+1
Step-by-step explanation:
solve for X 3.5x/9= 4.2/5 Please help me
Answer:
x=2.16
Step-by-step explanation:
1. Cross multiply. 3.5x(5) = 9(4.2)
2. Simplify. 17.5x=37.8
3. Divide both sides by 17.5. x=2.16
Find m<1 -will mark brainly
Answer:
50°
Step-by-step explanation:
90-40= 50° ............
These points are linear.
Find the slope.
Х 2 4. 6 8 10
y 7 13 19 25 31
Hint: First calculate the change
between each y-value.
Answer:
3
Step-by-step explanation:
Select an ordered pair: (2, 7)
Select another ordered pair: (6, 19)
slope = (difference in y)/(difference in x)
slope = (19 - 7)(6 - 2)
slope = 12/4
slope = 3
Answer:
Step-by-step explanation:
Pick any two points.
(2 ,7) & (4, 13)
x₁ = 2 ; y₁ = 7 & x₂ = 4 ; y₂ = 13
[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
[tex]=\dfrac{13-7}{4-2}\\\\\\=\dfrac{6}{2}\\\\\\= 3[/tex]
Choose the correct graph of the function y=√x+2 .
Answer:
[D]
Step-by-step explanation:
Graph using the end point and a few selected points.
x y
0 2
1 3
2 3.41
Graph is below:
[RevyBreeze]
Lola bought 4.25 yards of ribbon. The ribbon cost $1.59 per yard. What was the
total cost of her ribbon to the nearest cent?
Fill in the blanks with an operation symbol and a number to complete the
equation.
4.25___$1.59 = $_
Which expression represents 25 times the sum of m and 3?
Answer:
25(m+3)
Step-by-step explanation:
25 is multiplied by (m+3)
'the sum of m and 3' is a quantity which must be indicated using parentheses
Hello!
The sum of means we add:
m+3
Multiply it times 25:
25(m+3)
The answer is Option C.
Now, the option you selected is wrong for the following reasons:
If you translate it into a verbal phrase, this is what it means:
25 plus the product of m and 3
Hence, Option C is correct.
Hope everything is clear.
Let me know if you have any questions!
Always remember: Knowledge is power! :-)
what is 6(8x+1) equil to ?
Hello!
Let's use the Distributive Property & simplify:
6(8x+1)
distribute 6 by multiplying it times 8x and 1:
48x+6
Hope everything is clear.
Let me know if you have any questions!
#KeepLearning
:-)
Answer:
[tex]\displaystyle 6 + 48x[/tex]
Step-by-step explanation:
[tex]\displaystyle 6[8x + 1] \hookrightarrow \boxed{48x + 6}[/tex]
I am joyous to assist you at any time.
{(4x+2y=6),(-2x+2y=18):} Solve by using the elimination method
Please help and show me how you did it
Answer:
[tex]\displaystyle [-2, 7][/tex]
Step-by-step explanation:
You want to eradicate one pair of variables so they are set to zero. It does not matter which pair is selected:
[tex]\displaystyle \left \{ {{4x + 2y = 6} \atop {-2x + 2y = 18}} \right.[/tex]
{½[4x + 2y = 6]
{−2x + 2y = 18
>> [tex]\displaystyle \left \{ {{2x + y = 3} \atop {-2x + 2y = 18}} \right. \\ \\ \frac{3y}{3} = \frac{21}{3} \\ \\ \\ y = 7[/tex]
Plug this back into the system to get the x-value of [tex]\displaystyle -2.[/tex]
I am joyous to assist you at any time.
A={ 0,1,3,5,6}; B={1,2,3,7} draw the venn diagram of AUB Writ
Answer:
Here,
n(A)={0,1,3,5,6}
n(B)={1,2,3,7}
n(AUB)=?
we know that,
AUB={0,1,2,3,5,6,7}
Step-by-step explanation:
is it okay ?
hopefully it works <3 ❣️
Question 1
Let f(x) = 2x^2 - 3x - 4 and g(x) = x + 5. Find (fg)(x).
The function (fg)(x) is a composite function
The value of the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
How to determine the function (fg)(x)?The functions are given as:
f(x) = 2x^2 - 3x - 4 and g(x) = x + 5.
To calculate (fg)(x), we make use of
(fg)(x) = f(x) * g(x)
So, we have:
(fg)(x) = (2x^2 - 3x - 4) * (x + 5)
Expand
(fg)(x) = 2x^3 - 3x^2 - 4x + 10x^2 - 15x - 20
Collect like terms
(fg)(x) = 2x^3 - 3x^2 + 10x^2 - 4x - 15x - 20
Evaluate
(fg)(x) = 2x^3 + 7x^2 - 19x - 20
Hence, the function (fg)(x) is 2x^3 + 7x^2 - 19x - 20
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Help picture below problem 12
Answer:
78°
Step-by-step explanation:
Angles on a straight line = 180°
AD is the straight line
Angle BFA = 48
Angle CFD = 54
54 + 48 = 102
180 - 102 = 78
Therefore, Angle BFC = 78°
find the equation (in terms of x) of the line through the points (-2,1) and(2,9)
Y=
Answer:
2
Step-by-step explanation:
gradient =y² -y¹ /x²-x¹
=9-1/2--2
=8/4
=2
Answer:
y = 2x + 5
Step-by-step explanation:
There are 2 ways to find this equation:
The first way: We have: y = ax + b (this is the line, right?)
The line is through the point (-2, 1) so we have:
1 = (-2)a + b (1)
The line is also through the point (2, 9) so we have:
9 = 2a + b. (2)
From (1) and (2) we get a equals 2, b equals 5. Then:
y = 2x + 5
The second way:
Let A(-2, 1) and B(2, 9), then AB = (4, 8).
=> The normal vector of this line is n = (-2, 1).
The line that is through the points A(-2, 1) and B(2, 9), and has the normal vector n=(-2, 1) has the equation:
[tex]-2(x - 2) + 1(y - 9) = 0[/tex]
[tex]-2x + y - 5 =0\\ < = > y = 2x + 5[/tex]
7/8m+9/10-2m-53 answer
Answer:
− (45m+2084)/40
Step-by-step explanation:
I do not have one sorry,
Solve the following quadratic by completing the square.
Answer:
[tex]x = -5 \pm \sqrt{26}[/tex]
Step-by-step explanation:
[tex]x^2+10x-1=0\\\\\implies x^2+2\cdot 5 x +5^2-5^2-1=0\\\\\implies (x+5)^2-25-1=0\\\\\implies (x+5)^2 -26=0\\\\\implies (x+5)^2 = 26\\\\\implies x +5 = \pm\sqrt{26}\\\\\implies x = -5 \pm \sqrt{26}[/tex]
Simplify the expression. (x)^2(2xy^3)^5
Answer:
32x^7y^15
Step-by-step explanation:
x^2(2xy^3)^5
can be simplified by adding up the x and y values.
En un estadio 6/8 de los asistentes son mayores edad y de estos 2/4 son mujeres ¿que fraccion de los asistentes mayores de edad son mujeres?
Answer: 3/8
Step-by-step explanation: 6/8 x 2/4 = 3/8
The fraction of attendees of legal age who are women are 3/8
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
We have in a stadium, 6/8 of the attendees are older and of these 2/4 are women.
The fraction of attendees of legal age who are women are -
2/4 of 6/8
2/4 x 6/8
12/32
3/8
Therefore, the fraction of attendees of legal age who are women are 3/8
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[English translation of question -
In a stadium, 6/8 of the attendees are older and of these 2/4 are women, what fraction of the attendees of legal age are women?
Spanish translation of answer -
Tenemos en un estadio, 6/8 de los asistentes son mayores y de estos 2/4 son mujeres.
La fracción de asistentes mayores de edad que son mujeres son:
2/4 de 6/8
2/4 x 6/8
32/12
3/8
Por tanto, la fracción de asistentes mayores de edad que son mujeres son 3/8
] At 2:00 PM the temperature is 18°F. At 10:00 PM the temperature is -9°F.
What is the change in temperature from 2:00 PM to 10:00 PM?
Answer:
To figure out the change, we subtract the original temperature by the following after temperature.
18°F - original
-9°F - subsequent time after original
So we set up the equation;
18°F - (-9°F)
(Two negatives combine to form a positive)
18°F + 9°F
= 27°F was the change in temperature.
The change in temperature from 2:00 PM to 10:00 PM is -27° F.
What is Temperature?Temperature is a physical quantity that measures the coldness or hotness of an object in reference to some standard value.
Change in temperature can be defined by the difference of the final temperature with that of the initial temperature.
Temperature is usually measured in degree Celsius or degree Fahreheit.
Temperature at 2:00 PM = 18° F
Temperature at 10:00 PM = -9° F
Change in temperature = Final temperature - Initial temperature
= -9° F - 18° F
= -27° F
Hence, the change in temperature can be calculated as -27° F.
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I really need help with the answers
Answer:
Part A: 512 ft²
Part B: 3 cans
Step-by-step explanation:
Part A:
We can divide the shape into 2 areas or rectangles.
The top rectangle's area: 20 x 12 =240
The bottom: 34 x 8 = 272
add these 2 up, 240 +272, and you get 512, the area of this figure.
Part B:
We have to divide the number of feet covered by the area:
512/200 = 2.56
However, we half to round up, cause we cant buy part of a can, we have to buy a whole one.
So, we get 3 cans.
Make x the subject of the formula
y = x^2
Answer:
[tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle \large{y=x^2}[/tex]
Make ‘x’ the subject of the formula by square root both sides:
[tex]\displaystyle \large{\sqrt{y}=\sqrt{x^2}}[/tex]
Cancel the square root and square in RHS and write plus-minus in LHS:
[tex]\displaystyle \large{\pm \sqrt{y}= x}\\\displaystyle \large{x=\pm \sqrt{y}}[/tex]
Therefore, the solution is [tex]\displaystyle \large{x=\pm \sqrt{y}}[/tex]
__________________________________________________________
Summary
To make a variable as the subject of equation means to isolate that variable. For an example, if you want to make y as the subject, you’ll have to isolate y-term.
You may also be curious why do you have to add plus-minus on another side when cancelling [tex]\displaystyle \large{\sqrt{x^2}}[/tex] because [tex]\displaystyle \large{\sqrt{x^2}=|x|}[/tex] and [tex]\displaystyle \large{|x|}[/tex] for their positive and their counterparts (opposite/negative) will always give same y-value.
From an example:
[tex]\displaystyle \large{\sqrt{x^2}=4}[/tex] can be rewritten as [tex]\displaystyle \large{|x|=4}[/tex], cancel absolute sign/square root then write plus-minus which the solution is [tex]\displaystyle \large{x=\pm 4}[/tex] and if you substitute x = 4 or -4, the equation will be true for both values.
__________________________________________________________
Others
Let me know if you have any doubts about my answer, explanation or this question through comment!
One person is selected at random from a class of 15 males and 14 females. Find the odds against selecting
a) a female.
b) a male.
Answer:
48% chance to be female and 52% chance to be male.
Step-by-step explanation:
14 female + 15 males = 29 total people
a) 14 females/29 total = 0.48... * 100 = 48%
b) 15 males/29 total = 0.57.... * 100 = 52%
pls help me how do they get 9 7/5 = 10 2/5 ( its in the example number 1) plss help me i don't know :⊂
Answer:
INSTRUCTION FOLLOWED: write the sum as a mixed number where the fractional number is less than one.5/5 out of the 7/5 make ONE whole while 2/5 is left over.
The ONE whole is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
Step-by-step explanation:
INSTRUCTION FOLLOWED: write the sum as a mixed number where the fractional number is less than one.5/5 out of the 7/5 make ONE whole while 2/5 is left over.
The ONE whole is added to nine to make 10 and the remaining 2/5 is also added to the 10 hence 9 7/5 = 10 2/5
please I need help with this question
Answer:
$5.40
Step-by-step explanation:
First, find Dave's purchase. To do this, you multiply 15 by the tax percent and add that to the original.
So:
15 x 8% = 15 x 0.08 = 1.2
15 + 1.2 = 16.2
Next, do the same for Mel's purchase:
20 x 8% = 20 x 0.08 = 1.6
20 + 1.6 = 21.6
Then, you subtract Dave's purchase from Mel's:
21.6 - 16.2 = 5.4
This comes out to $5.40
[tex]5xy { - x} ^{2} {t} + 2xy + 3x {}^{2} t[/tex]
what's the answer
Answer: 7xy + 2x^2t
Step-by-step explanation:
can someone please tell me the answer to this I can’t figure it out!!
Answer:
the answer is (0, 0) trust me