[tex]\huge\bf\underline{Answer}[/tex]
Given :- Total surface area of a cube = 1944cm²To Find :- Side of the cubeFormula :-[tex]\boxed{\huge \sf{TSA = 6a²}}[/tex]
Where, TSA = Total surface area of a cubea = Side of a cubeSolution :-Let the Side of a cube be 'x'
By substituting values according to the formula,[tex]\sf{:⇒6(x) ^{2} } = 1944cm^{2} [/tex]
[tex]\sf{:⇒ {x}^{2} = \dfrac{1944}{6} }[/tex]
[tex]\sf{:⇒ {x}^{2} = 324}[/tex]
[tex]\sf{:⇒x = \sqrt{324} }[/tex]
[tex]\sf{:⇒x = 18cm}[/tex]
Hence, The Side of a cube is 18cmIn the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160
let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.
Describe the end behavior of a ninth-degree polynomial with a negative leading coefficient
Given:
The degree of polynomial = 9
Leading coefficient is negative.
To find:
The end behavior of the polynomial.
Solution:
Let the polynomial be P(x).
We have,
Degree of polynomial = 9, which is odd.
Leading coefficient is negative.
If the degree of a polynomial is odd and leading coefficient is negative, then
[tex]P(x)\to \infty\text{ as }x\to -\infty[/tex]
[tex]P(x)\to -\infty\text{ as }x\to \infty[/tex]
Therefore, the end behavior of the given polynomial is [tex]P(x)\to \infty\text{ as }x\to -\infty,P(x)\to -\infty\text{ as }x\to \infty[/tex].
m∠2 = by the .
m∠1 = by the .
m∠3 = by the .
if w is the cube root of unity
(x-wy+w^2z)/(y+wz+w^2z)
only correct ans allowed wrong ans will be reported
Answer:
are you sure
Step-by-step explanation:
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There are 500 cars in Frank's junkyard; 350 blue and 150 red. If Joe randomly selects 25 cars from his yard, what's the probability he'll get from 14 to 20 blue cars, inclusive? Could this be considered an almost binomial event?
A. P(x=14) + P(x=15) + P(x=16) + P(x=17) + P(x=18) + P(x=19) This is an almost binomial event.
B. binomcdf(25,.7,20) - binomcdf(25,.7,14) This is almost binomial event.
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
D. P(14 < x <20) Not an almost binomial event.
E. binompdf(25,.7,20) - binompdf(25,.7,14) Not an almost binomial event
Answer:
C. (25/14)(.7)^14(.3)^11 + (25/15)(.7)^15(.3)^10 + ... + (25/19) (.7)^19(.3)^6 + (25/20)(.7)^20(.3)^5 This is an almost binomial event
Step-by-step explanation:
I think
Determine the slope and the Y-intercept of each linear equation. y = 6x
Answer:
Slope = 6
Y intercept = 0
Step-by-step explanation:
Given equation is: y = 6x
Equating it with y = mx + b
We find:
Slope m = 6
Y intercept b = 0
Mr. Chu is slicing for cantaloupes his for his class there are 24 students in the class if Mr. Chu cuts the cantaloupes to make a equal portion for each student how many of the whole cantaloupe what each student get
Answer:
3 cantaloupes
Step-by-step explanation:
Since there are 24 students if you divide 24 by 3 it equals 8 so eat cantaloupe should be cut into 8 pieces. So, Mr.chu should buy 3 cantaloupes and cut each of the cantaloups in 8 equivalent slices for the students.
The number of pounds that can be safely loaded onto an elevator, X, can be represented by
the inequality x < 1,200. Which number line correctly represents this inequality?
Answer:
the third one
Step-by-step explanation:
The inequality says X is less than 1200, this means the arrow needs to be pointing to the left. Because X cannot equal 1200, the circle on 1200 should not be filled in. It is only filled in if it is included.
Answer:third one
Step-by-step explanation:
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Answer:
Okay
Step-by-step explanation:
Write an equation in slope-intercept form for the line.
slope: 0.8, y-intercept: 10
Group of answer choices
y = –0.8x + 10
y = 0.8x – 10
y = 0.8x + 10
y = 5/7x + 10
Answer:
y = 0.8x – 10
This is the correct answer.
Step-by-step explanation:
Which graph shows the system of equations
{2x+3y=5 4x−5y=−1
The graph of equation is in image.
What are linear equations?When a linear equation is graphed, it always results in a straight line because each term has an exponent of 1. This is why it is referred to as a "linear equation."
There are linear equations with one and two variables, respectively.
Given equations 2x + 3y = 5
4x - 5y = -1
for equation 1
2x + 3y = 5
x 1 -2 4
y 1 3 -1
coordinates for equation 2
4x - 5y = -1
x 1 2 -4
y 1 1.8 -3
and the intersection point of equation is (1, 1)
Hence the graph of equation is intersecting at (1, 1).
Learn more about linear equation;
https://brainly.com/question/29739212
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Two angle measures of this triangle are 60°. Which type of triangle is it?
Answer:
It's an equilateral triangle.
Step-by-step explanation:
For starters, the angle measures of any triangle all add up to 180 degrees. Because 2 sides of this triangle are 60 degrees, the two sides added up would be 120 degrees. Because 180 - 120 = 60, the unknown side is 60 degrees. Because an equilateral triangle is a triangle where all the angles or sides are equal, and all of the angle measures of the triangle are equal, it is an equilateral triangle.
The chair of the operations management department at Quality University wants to construct a p-chart for determining whether the four faculty teaching the basic P/OM course are in control with regard to the number of students who fail the course. Accordingly, he sampled 100 final grades from last year for each instructor, with the following results Instructor Number of Failures Prof. A 13 Prof. B 0 Prof. C 11 Prof. D 16 What are the .95 (5 percent risk of Type I error) upper and lower control limits for the p-chart
Answer:
Prof B and Prof D
Step-by-step explanation:
Step-by-step explanation:
From the question we are told that
Sample size 100
Instructor Number of Failures
Prof. A 13
Prof. B 0
Prof. C 11
Prof. D 16
Confidence level= 0.95
From Z table
Z=1.96
Generally proportion for failure is mathematically given as
[tex]Proportion\ of\ Failure\ P=\frac{Number\ of\ Failure\ N}{Sample\ size\ S}[/tex]
[tex]P=\frac{N}{S}[/tex]
For Prof A
[tex]P_A=\frac{N_A}{S}[/tex]
[tex]P_A=\frac{13}{100}[/tex]
[tex]P_A=0.13[/tex]
For Prof B
[tex]P_B=\frac{N_B}{S}[/tex]
[tex]P_B=\frac{0}{100}[/tex]
[tex]P_B=0[/tex]
For Prof C
[tex]P_C=\frac{N_C}{S}[/tex]
[tex]P_C=\frac{11}{100}[/tex]
[tex]P_C=0.11[/tex]
For Prof D
[tex]P_D=\frac{N_D}{S}[/tex]
[tex]P_D=\frac{16}{100}[/tex]
[tex]P_D=0.16[/tex]
Generally the average proportional failure is mathematically given as
[tex]P_a_v_g=\frac{0.13+0+0.11+0.16}{4}[/tex]
[tex]P_a_v_g=0.10[/tex]
Therefore having this we calculate for the control limits
Generally the upper control limit UCl is mathematically given as
Upper control limits:
[tex]UCL =P_a_v_g +Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 +1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 +1.96*0.03[/tex]
[tex]UCL =0.1 +0.0588[/tex]
[tex]UCL =0.1588[/tex]
Generally the upper control limit UCl is mathematically given as
Lower limit control limits:
[tex]UCL =P_a_v_g _Z\sqrt{\frac{P_a_v_g(1-P_a_v_g) }{S} }[/tex]
[tex]UCL =0.1 -1.96\sqrt{\frac{0.1(1-0.1) }{100}}[/tex]
[tex]UCL =0.1 -1.96*0.03[/tex]
[tex]UCL =0.1 -0.0588[/tex]
[tex]UCL =0.0412[/tex]
Therefore the Range is 0.0412 to 0.1588
Given the range 0.0412 to 0.1588 Prof B and Prof D are outside the Range making them the correct options
(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.
Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.
Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.
Please help
Part b is how much farther would she have to walk if she stopped at randis house before continuing on to the store
Answer:
10 units
Step-by-step explanation:
Distance from Sarah's house to Randi's house = 6 units.
Distance from Randi's house to store = 8 units.
By using Pythagoras theorem:
Distance from Sarah's house to store
[tex] = \sqrt{ {6}^{2} + {8}^{2} } \\ \\ = \sqrt{36 + 64} \\ \\ = \sqrt{100} \\ \\ = 10 \: units[/tex]
Pls help easy points
Answer: The tax for one dollar is $.0825. The tax for the 12 dollar soap is $.99
Step-by-step explanation:
To figure this out you divide the tax by the price. (.66 divided by 8) This means its .0825 tax for every dollar.
simplify the expression t+2+6t
Answer:
2+7t
Step-by-step explanation:
combine like terms
t+2+6t
2+7t
Estimate 95.63+66.552 by first rounding each number to the nearest whole number
Answer:
162
Step-by-step explanation:
95.63 rounds up to 96
66.552 stays at 66
96+66=162
What is the slope for this??
Answer:
slope: [tex]\frac{13}{4}[/tex]
Step-by-step explanation:
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How many solutions will this system of equations have?
y = -3.5x - 3.5
y = -3.5x + 3.5
Graph the equation.
y =2x-2
Answer:
Okay so
y = mx + b
m is the slope
b is the y intercept
Step-by-step explanation:
Step-by-step explanation:
I hope this helps I used desmos
At Mary’s fruit stand, a basket of cherries costs $4 and a basket of peaches costs $9. In one morning, Katya sells 96 baskets for $644. How many baskets of peaches were sold?
Answer:
The number of strawberry baskets sold was 44
Step-by-step explanation:
Let
x ----> the number of strawberry baskets sold
y ---> the number of raspberries baskets sold
we know that
In one morning, Katya sells 96 baskets for $644
so
----> equation A
---> equation B
Solve the system by graphing
Remember that the solution is the intersection point both graphs
using a graphing tool
The solution is the point (44.52)
see the attached figure
therefore
The number of strawberry baskets sold was 44 and the number of raspberries baskets sold was 52
Interest calculated only on the principle is
f(x)= −2x^2 + 8x − 10
{Find } f(-4)
Answer:
simply you have to substitute (-4) for all the (x) terms-2x²+8x -10-2(-4)²+8×(-4)-10-2(16) - 32 -10-32 -32 - 10-74
What is the square root of -16?
Step-by-step explanation:
3 is the correct answer
Evaluate 3x-(5x-1)-3(2x-10)
Answer:
-8x + 31
Step-by-step explanation:
Hope it helps, have a great day
What is the x-coordinate of the point shown in the graph?
y
8
4
-2
2 2
4
B
-8-6-4-2
-2
4
Answer:
-5, -7 or its -7, -5
Step-by-step explanation:
Answer:
-7 -5
Step-by-step explanation:
the area of a rectangle is 49.7cm2, and the width the rectangle is 3.5 cm what is the length rectangle cenimeters
Answer:
Answer = 14. 2
Step-by-step explanation:
Area of rectangle = length x breath
So, area here is = 49.7 cm2
Breath = 3.5 cm
49.7 = length x 3.5
Length = 49.7 ÷ 3.5
Length = 14.2 cm
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Answer:
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Step-by-step explanation:
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Mr. Hunterhad 25 students in his 4th period math class. The next day, he has
only 20 students. What is the percent decrease in the number of students in
Mr. Hunter's class?
Answer:20 percent
Step-by-step explanation:correct me if I’m wrong