A cube has a volume of 2197m3. Its surface is to be painted. Each can of paint covers about 40m2. How many cans of paint are needed? justify your answer.
The cans of paint that are needed is 25 cans.
How to calculate the value?It should be noted that the sides of the cube will be:
= 3✓2197
= 13
Each side is 13m
Therefore, the total surface area will be:
= 6s²
s = sides
= 6(13)²
= 1014m²
Therefore, the cans needed will be:
= 1014/40
= 25
Therefore, 25 cans are needed.
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When some software companies develop software, they do it with "planned obsolescence"
in mind. This means that they plan on the sale of the software to rise, hit a point of
maximum sales, then drop and eventually stop when they release a newer version of the
software. Suppose a graph of the curve showing the number of sales over time can be
modeled with a parabola and that the company plans on the "life span" of its product to be
6 months, with maximum sales reaching 1.5 million units. Write an equation that models
this situation.
The equation of the parabola that models the given situation is y=-1/6 (x-3)^2 +1.5.
Define parabola and its types.
A parabola is a roughly U-shaped mirror-symmetrical plane curve. It corresponds to a number of seemingly unrelated mathematical descriptions that all define the same curves.
To represent a parabola algebraically in the coordinate plane, the standard equation of a parabola is used. The general equation of the parabola is given by [tex]$\mathrm{y}=a(x-h)^2+\mathrm{k}$[/tex]or [tex]$\mathrm{x}=a(y-k)^2+\mathrm{h}$[/tex], where [tex]$(\mathrm{h}, \mathrm{k})$[/tex] denotes the vertex. A regular parabola's standard equation is y^2= 4ax
Now, the equation of parabola for the given situation is calculated as:
y=a(x-3)^2 +1.5
Now, put the value of x=0 and y=0.
0=a(0-3)^2+1.5
0=9 a+1.5
-9 a=1.5
a=-1.5 / 9
a=-1 / 6
Now, put the value of a in equation[tex]$\mathrm{y}=a(x-3)^2+1.5$[/tex] to obtain:
y=-1/6 (x-3)^2 +1.5
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albert measured a house and its lot and made a scale drawing. the house's driveway is 3 inches wide in the drawing. the actual driveway is 15 feet wide. what is the scale of the drawing?
The scale of the drawing is 36 inches.
What is the conversion factor?A conversion factor is an amount that is used to multiply or divide one set of units into another. When converting to an equal value, the appropriate conversion factor must be used. To convert inches to feet, for example, the suitable conversion value is 12 inches equal to 1 foot.So, it is given that the house's driveway is 3 inches wide in the drawing and the actual driveway is 15 feet wide.
As 1 foot = 12 inchesthen, 15 feet = 12(15) inches15 feet = 180 inchesAs 15 feet is 3 inches in drawing that is 15/5 = 3. (Given)Now, 180/5 = 36 inchesTherefore, the scale of the drawing is 36 inches.
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The correct question is given below:
Albert measured a house and its lot and made a scale drawing. The house's driveway is 3 inches wide in the drawing. The actual driveway is 15 feet wide. What is the scale of the drawing? 1 inch: feet
Find the weighted average of the points in the line
The weighted average of the points in the line is 7.5
How to find the weighted average of the points in the line?The points are given as
3 and 12
The weighted average of the points in the line is calculated as
Weighted average = Sum/Count
So, we have:
Weighted average = (3 + 12)/2
Evaluate
Weighted average = 7.5
Hence, the weighted average of the points in the line is 7.5
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the lifespans of gorillas in a particular zoo are normally distributed with a mean of 26 years and a standard deviation of 1.5 years. what is the probability that a gorilla will live longer than 26 years?
The probability that a gorilla will live longer than 26 years is between 15.8 and 24.2 years.
What is probability?Likelihood is the part of science concerning mathematical portrayals of how likely an occasion is to happen, or how likely it is that a recommendation is valid.
P (A) is the probability of an event “A”
n (A) is the number of favorable outcomes
n (S) is the total number of events in the sample space
The likelihood of an occasion is a number somewhere in the range of 0 and 1, where, generally talking, 0 shows difficulty of the occasion and 1 demonstrates conviction. The higher the likelihood of an occasion, the almost certain it is that the occasion will happen. A straightforward model is the throwing of a fair coin. Since the coin is fair, the two results are both similarly likely; the likelihood of "heads" approaches the likelihood of "tails"; and since no different results are conceivable, the likelihood of by the same token "heads" or "tails" is 1/2.
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Add.
5/3 + 2/4
Please help!!!
Answer:
1 1/3 or 4/3
Step-by-step explanation:
order of operations
is it possible to have a function f defined on [ 5 , 6 ] and meets the given conditions? f is continuous on [ 5 , 6 ], takes on the values − 5 and 5 but does not take on the value 0.
No.
The intermediate value theorem (IVT) says that if [tex]f(x)[/tex] is continuous on [tex][a,b][/tex], and if [tex]d[/tex] is a number between
[tex]\min\{f(a),f(b)\} \le d \le \max\{f(a),f(b)\}[/tex]
then there is some [tex]c\in(a,b)[/tex] such that [tex]f(c) = d[/tex].
In this case we have for all [tex]x\in[5,6][/tex],
[tex]-5 \le f(x) \le 5[/tex]
0 falls in this range, so by continuity of [tex]f[/tex] and the IVT, there must be some number [tex]x\in(5,6)[/tex] such that [tex]f(x) = 0[/tex].
Write as a numerical expression: the product of 2 and the difference of −2 and 8
Answer:
2(-2-8)
Step-by-step explanation:
The difference between -2 and 8 is -2-8. The product of 2 and the difference is (-2-8)*2 which is 2(-2-8).
Several batches of stew were made yesterday. Each batch required 1 and two-thirds pounds of meat. All together, 10 and StartFraction 5 over 6 EndFraction pounds of meat was used. Janice tried to find the number of batches of stew made. Her work is shown below.
Answer:
Step 2
1 2/3 was converted as 5/2 instead of 5/3
Step-by-step explanation:
Each batch = 1 2/3
Total = 10 5/6
Number of batches
10 5/6 : 1 2/3 =
65/6 : 5/3 =
65/6 * 3/5 =
65/10 =
6.5
Solution by Janice:
10 5/6 : 1 2/3 =
65/6 : 5/2 =
65/6 * 2/5 =
130/30 =
4 1/3
Error made at step 2:
StartFraction 65 over 6 EndFraction divided by five halves = StartFraction 65 over 6 EndFraction times StartFraction 2 over 5
1 2/3 was converted as 5/2 instead of 5/3
Quelqu’un pourrait m’aider en urgence s’il vous plaît c’est pour demain je n’ai pas réussi pour le x=2 mais pour x=1 oui. Voici l’exercice
Exercice 2:
L'égalité 3x + 4 = 2x+5 est-elle vraie pour x = 2 ? Justifier la réponse.
• L'égalité 3x + 4 = 2x+5 est-elle vraie x = 1 ? Justifier la réponse.
La partie « Exercez-vous »
➺ Exercez-vous
Je m'appelle Catherine… elle est italienne… Il est
anglais. – Et vous, vous êtes française ? – Oui, je suis
française.
➺ Exercez-vous
« vous » entre adultes qui ne se connaissent pas (dessin du haut) – « tu » entre étudiants (dessin du
milieu) quand un adulte s'adresse à un enfant (dessin
du bas).
Triangle FUN has vertices with coordinates F(-6, 4), U(2, 2), and N(-2, -8). Dilate using the Scale factor of 2. What are the coordinates of the dilated image F’U’N’?
explain
Answer:
F ' (-12, 8)
U ' (4, 4)
N ' (-4, -16)
===================================================
Explanation:
I'm assuming the center of dilation is the origin.
Multiply each coordinate by the scale factor 2.
For point F, the x coordinate goes from -6 to 2*(-6) = -12. The y coordinate goes from 4 to 2*4 = 8
So F(-6,4) moves to F ' (-12, 8)
Use this idea for the other points.
If the center of dilation wasn't the origin, then we can't use this shortcut (not until translating the center to the origin).
What is the greatest common factor of the terms in the expression
3x2y3-48y2+18x³y5?Q
The greatest and the only common factor in the given expression 3x²y³-48y²+18x³y⁵ is 3.
What do we mean by expressions?An expression or mathematical expression is a finite combination of symbols that is well-formed according to context-dependent rules. In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.So, 3x²y³-48y²+18x³y⁵:
If we look closely consonants 3, -48, and 18 are divisible by 3.So, we can also write the expression as:
3(x²y³-16y²+6x³y⁵)Therefore, the greatest and the only common factor in the given expression is 3.
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Questions 18-30 pls help due tomorrow
Answer:
Step-by-step explanation:
30
Step-by-step explanation:
以下の情報を添えて、このチラシを当社の登録従業員の 1 人に渡してください。 より多くのチラシを提出した先生がピザ パーティーを勝ち取ります。
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
3m + 4 is the answer obtained after combining like terms
Please help i will give brainly
Answer:
A. {-4, 2, 3, 8}
Step-by-step explanation:
The range of a function is the set of all possible output values (y-values).
From inspection of the graph, the coordinates of the points are:
(-11, 2)(-3, -4)(2, 3)(5, -4)(8, 8)Therefore, the set of y-values is {-4, 2, 3, 8}. This is the range of the graphed function.
BRAINLIEST ONLY GIVEN IF ANSWERED PROPERLY, WILL REPORT IF SPAM
Answer:
s/2πh
Step-by-step explanation:
dividing both sides by 2 will result in s/2 = πrh
dividing both sides by π will result in s/2π = rh
dividing both sides by h results in s/2πh = r
comment if you need further explanation
(no brainliest needed)
Sonny substituted 5 for x in the proportion startfraction 16 over x endfraction = startfraction 48 over 15 endfraction and cross multiplied to get 240 = 240. why is this? because the cross sums of the proportion are equal because the cross differences of the proportion are equal because the cross products of the proportion are equal because the cross quotients of the proportion are equal
Sonny get 240=240 because the cross products of the proportion are equal.
Proportion : Two ratios are said to be in proportion when the two ratios are equal.
For Example , If Smith walks 5 km in 1 hour then he will walk 25 km in 5 hours. denoted by
[tex]\frac{5}{1} =\frac{25}{5} \\ \\ 5=5[/tex].
According to the given question the equation can be written as
[tex]\frac{16}{x} =\frac{48}{15}[/tex]
Sonny substituted 5 for x in the proportion , the equation can be written as
[tex]\frac{16}{5} =\frac{48}{15} \\ \\ Doing .the .cross.product\\ \\ 16*15=48*5\\ \\ 240=240[/tex]
Therefore , Sonny get 240=240 because the cross products of the proportion are equal.
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PLEASEEEE HELP
Select the correct answer from the drop-down menu.
Simplify the expression.
Answer:
2(x^9)(y^2)
Step-by-step explanation:
I just did quick math on this one, but you combine like terms on the top then divide by the bottom terms...
Find the equation of a line which has a slope of 8 and crosses the y- axis at -3
Answer:
y = 8x - 3
Step-by-step explanation:
The point where the line crosses the y-axis is the y-intercept and the intercept we're looking for. We know the slope 8 and the intercept -3, so we can just provide the answer
[tex]\large\textsf{{Hi! In this problem we need to find the equation of a line}}\\\textsf{in slope-intercept form: \textbf{y=mx+b}, where \textbf{m} is the slope}\\\textsf{and \textbf{b} is the y-intercept}}.\\\\\\\\\textsf{The question provides us both the slope \& the y-intercept}\\\textsf{This means we can find the equation by}\\\textsf{plugging the numbers into the formula:}\\\\\textbf{y=mx+b}\\\\\textbf{y=8x+(-3)}\\\\\textbf{y=8x-3}\twoheadleftarrow\boldsymbol{Answer!}\ddot\smile[/tex]
Find the midpoint of the segment with the given endpoints.
(-5,-7) and (2,4)
Answer:
(-3/2 ; -3/2)
Step-by-step explanation:
Midpoint (x;y)
x = (x1+x2)÷2 = (-5+2)÷2 = -3/2
y = (y1+y2)÷2 = (-7+4)÷2 = -3/2
Therefore midpoint = (-3/2 ; -3/2)
PLEASE
Solve for X
4(5x+6)=12
-3(2x-4)=18
26=2(3x-2)
Answer:
Below in bold.
Step-by-step explanation:
4(5x + 6) = 12
20x + 24 = 12
20x = -12
x = -12/20 = -3/5
-3(2x - 4) = 18
-6x + 12 = 18
-6x = 6
x = -1.
26 = 2(3x - 2)
26 = 6x -4
30 = 6x
x = 30/6 = 5.
Write the first expression in terms of the second if the terminal point determined by t is in the given quadrant. cos(t), sin(t); quadrant iv
if the terminal point indicated by t is in the provided quadrant, the first equation in terms of the second quadrant iv; cos(t), sin(t). [tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
What is Trig Identities?Trig identities come in handy when we need to express one trig function in terms of another. The most famous trig identity is derived straight from the Pythagorean Theorem:
sin² t + cos² t = 1
According to the given data:For an angle t in Quadrant IV, we know sin t is positive.
From the trig identity sin² t + cos² t = 1
we can also write as:
sin t + cos t:
Now,
sin² t + cos² t = 1
sin² t = 1 - cos² t
sin t = ±√( 1 - cos² t)
As noted above,
sin t is positive for t in the Quadrant IV, and so we have
sin t = √( 1 - cos² t)
We know that
[tex]\cos t=\frac{1}{\sec t}[/tex]
So, the equation will be
[tex]\sin t=\sqrt{1-\frac{1}{\sec ^2 t}}[/tex]
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92.1 divided by 0.03
Answer: 3070
Step-by-step explanation:
Mei spent $66 buying fabric that costs $7.50 per yard. how many yards of fabric did mei buy? how do you know that your answer is reasonable?
If Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric
Given,
The total amount Mei spent = $66
Cost of fabric = $7.50 per yard
How many yards of fabric Mei bought= Total amount she spent / Cost of fabric
Substitute the values and divide it
How many yards of fabric Mei bought = [tex]\frac{66}{7.50}[/tex]
=8.8 yards
Hence, if Mei spent $66 buying fabric that costs $7.50 per yard, then she bought 8.8 yards of fabric
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Can you pls help me tink u <3
:Circle the part of the expression that you would complete first.
a. -4 x 32 + 6
b. 4(13 - 6)
c. 3 x (-2)^3 divide symbol 6
d. (6 + 2) - 15 divide symbol 5 x 2
e. 8 - 4(2 + 5^2) divide symbol 12
pls thx!
2 divded by $1.53 round to the nearest cent
Answer: $0.77
Step-by-step explanation:
1.53/2=
0.765=
0.765=$0.77
Seven times the sum of a number and 1
Use X as “Of a Number”
Answer:
7 (x + 1)
Hope this helps :)
Step-by-step explanation:
The equation above shows the statement, "Seven times the sum of a number and 1."
Find the solution set for the given inequality if the replacement set is {1, 2, 3, 4, 5}.
5x – 2 ≥ 8
Question 3 options:
{2, 3, 4, 5}
{1}
{3, 4, 5}
{1, 2}
Answer:
The Ans. {2, 3, 4, 5}
Step-by-step explanation:
5x – 2 ≥ 8 when we will replace the given values{1, 2, 3, 4, 5} insted of X we get true solution set by {2, 3, 4, 5}
what is the equation in point-slope form of the line passing through (2, 5) and (−1, 8)? (5 points) y 5
The equation of the line in point-slope form is: y - 5 = -x + 2.
What is the Equation of a Line in Point-slope Form?The equation of the line can be modelled as y - b = m(x - a), in point-slope form..
Given the following:
(2, 5) and (-1, 8), find the slope
Slope of the line (m) = change in y / change in x = (8 - 5)/(-1 - 2)
Slope of the line (m) = 3/-3
Slope of the line (m) = -1
Substitute (a, b) = (2, 5) and m = -1 into y - b = m(x - a):
y - 5 = -1(x - 2)
y - 5 = -x + 2
Therefore, the equation of the line in point-slope form is: y - 5 = -x + 2.
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a rectangular prism w a square base with side length(x) and a height of length(y) has a surface area of 100 square feet
The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.
Which formula represents the volume of a rectangular prism?
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .Let x = the side of the square base and y = height
Let V = volume = x2y
The surface area = 2x2 + 4xy = 121.5
Solve the surface area equation for y = (121.5 - 2x2)/4x and substitute this into the volume equation
V = x2(121.5 - 2x2)/4x = x(121.5 - 2x2)/4
the derivative of V with respect to x = (x/4)(-2x) + (1/4)(121.5 - 2x2) = 0 at the maximum
(1/4)(-4x2 + 121.5 - 2x2) = 0'
6x2 = 121.5
x2 = 20.25
x = 4.5
y = (121.5 - 40.5)/(4 * 4.5) =81/18 = 4.5
The the rectangular solid with maximum volume for given surface area is, in fact, a cube with side 4.5.
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