Answer:
60n seconds
Step-by-step explanation:
In 1 min, there are 60 seconds
So,
1 min = 60 secs
For n minutes, it becomes:
=> 60n seconds
SOLVE EACH EQUATION BY TAKING SQUARE ROOTS. 1.) 3(x-5)^2=48 2.)2x^2-56=42
Answer:
see explanation
Step-by-step explanation:
(1)
3(x - 5)² = 48 ( divide both sides by 3 )
(x - 5)² = 16 ( take the square root of both sides )
x - 5 = ± [tex]\sqrt{16}[/tex] = ± 4 ( add 5 to both sides )
x = 5 ± 4
Thus
x = 5 - 4 = 1
x = 5 + 4 = 9
Solutions are x = 1, x = 9
(2)
2x² - 56 = 42 ( add 56 to both sides )
2x² = 98 ( divide both sides by 2 )
x² = 49 ( take the square root of both sides )
x = ± [tex]\sqrt{49}[/tex] = ± 7
Solutions are x = - 7, x = 7
Zahra wants the equation below to have an infinite number of solutions when the missing number is placed in the box. Box (x minus 3) + 2 x = negative (x minus 5) + 4 Which number should she place in the box?
Answer:
It's -3
Step-by-step explanation:
I got it right on Edge 2020
Beth says that the graph of g(x)=x-5+1 is a
Translation of 5 units to the left and 1 unit up of
F(x)=x
She continues to explain that the point (0,0) on the square root function would be translated to the point (-5,1) on the graph of g(x) is Beths description of the transformation correct? Explain
Answer: No.
Step-by-step explanation:
The graph of g(x) = x - 5 + 1 is a Translation of 5 units to the right not to the left and 1 unit up of F(x) = x
the point (0,0) on the square root function would be translated at the same value which will be to the point (5,1) on the graph of g(x)
Beths description of the transformation is therefore incorrect.
Answer:
No, Beth is not correct. The function g(x) has an h value of 5 and a k value of 1. This would be a horizontal translation of the square root function of 5 units to the right, rather than the left. Beth was correct about the vertical translation of the square root function of 1 unit up. The point (0, 0) from the square root function would be translated to the point (5, 1) on the graph of g(x).
Step-by-step explanation:
This came right from Edg
A rectangular tank, 1 1/2m long and 1m wide,
contains water to a depth of 50 cm. How
many litres does it contain?
Suppose that the market research department of a famous bakery has determined that the most aesthetically pleasing donut has a thickness that is twice the inner radius of the donut (that is, the radius of the donut’s hole). The formula for the inner radius of the donut is given by the equation , where V is the volume of the donut in cubic centimeters. Use the table of values to help you answer the questions about r(v). -30 -0.80 -20 -0.70 -10 -0.55 0 0 10 0.55 20 0.70 30 0.80
Answer:
The information given are;
[tex]r(V)=\sqrt[3]{\dfrac{V}{6\cdot \pi ^{2}}}[/tex]
Where;
r(V) = The radius of the doughnut (cm)
V = The volume of the doughnut (cm³)
The data are;
V, r(V)
-30, -0.8
-20, -0.7
-10, -0.55
0, 0
10, 0.55
20, 0.7
30, 0.8
From the table of values, the identified key features are;
a) There is a direct relationship between the radius and the volume of the doughnut
b) The correlation between the data increases to direct proportionality from the volume of 20 cm³ and above
c) The data values are symmetric and continuous about the y and x-axis
2) There is a direct linear relationship between radius, r and the volume V at end ends of the data between r and V where V = -30 and-20 at one end and 20 and 30 at the other end
b) The x and y-intercept are
The x -intercept = (0, 0)
The x -intercept = (0, 0)
c) The pivot point is the point about which change occurs, therefore, the pivot point is the (10, 0.55)
d) The domain is a member of the set of real numbers, R while the range is also a member of the set of real numbers, R
Step-by-step explanation:
Need help with these last two questions, tysm if you do :D
Answer:
D.
A. x ≤ 1
Step-by-step explanation:
Well for the first question we need to simplify the inequality.
4x + 3 < x - 6
-x to both sides
3x + 3 < -6
-3 to both sides
3x < -9
Divide 3
x < -3
So if x is less than -3 than it goes to the left starting at -3.
So D. is the answer.
So to solve the floowing inequality we simplify, distribute, and combine like terms.
3(2x - 5) + 3 ≤ -2(x + 2)
6x - 15 + 3 ≤ -2x -4
6x -12 ≤ -2x - 4
8x - 12 ≤ -4
+12
8x ≤ 8
8/8
x ≤ 1
Hence the answer is A. x ≤ 1
The width of an arch is 1.4 m and the semicircle at the top begins at a height of 1.9 m. What is the minimum amount of material in square metres needed to cover the whole arch so you cannot see through it?
Answer:
The minimum amount of material in m^2 that will be needed to cover the whole arc will be 3.43 m^2
Step-by-step explanation:
This arc can be divide into two shape; a semi circle with a diameter of 1.9 m, and a rectangle with a width 1.9 m and a height of 1.4 m
For the semicircle, the area = [tex]\frac{\pi d^{2} }{4}[/tex] ÷ 2
where d is the diameter
==> [tex]\frac{3.142 * 1.4^{2} }{4}[/tex] ÷ 2
==> 1.539 ÷ 2 = 0.7695 m^2
For the rectangle, area = width x height
==> 1.4 x 1.9 = 2.66 m^2
Total area = 0.7695 + 2.66 = 3.43 m^2
This is the minimum amount of material that will be needed to cover the whole arc.
Help!! I WILL GIVE BRAINLIEST I NEED HELPPPPPPPPPPPPPPPPPPP PLEASE PLEASE PLEASE PLEASEEEEEEEEEEEEE IM DEADD I REALLY NEED HELP ASAP ITS URGENT
Answer:
arc axb=4.938
Step-by-step explanation:
to find the measure of arc AXB find angle P first
length of the arc=rФ
in triangle APQ sin angle APQ= opp/hyp=AQ(radius)/PQ=5/√5+√21
in traingle PQB sin angle BPQ= opp/hyp.=5/√5+√21
angle P"
2arcsin 5/√5+√21= 94.324 degrees=(π*94.324)/180=1.64626 rad.
arc AXB=Фr (Ф=94.324 , r=3)
arc axb=4.938
HELP!
Choose the slope and y-intercept that
correspond with the graph.
Answer:
The second answer
Step-by-step explanation:
Remember rise over run since this is a negative line go down 4 and over to the right 3. Now you found your slope which is -4/3. To find the y intercept simply look at the y axis and look at where the line passes through it
Rectangle ABCDABCDA, B, C, D is graphed in the coordinate plane. The following are the vertices of the rectangle: A(2, 0), B(6, 0), C(6, 7), D(2, 7). What is the area of rectangle A, B, C, D? square units NEED ASAP 40 POINTS LIGIT
Answer:
[tex]\boxed{\sf \ \ 28 \ \ }[/tex]
Step-by-step explanation:
Hello,
Please find attached the graph
AB = 6-2 = 4
DA = 7-0 = 7
So the area of the rectangle is AB * DA = 4 * 7 = 28
Hope this helps
The two square pyramids are similar. The side length of the smaller pyramid is the side length of the larger pyramid.
Which fraction represents the ratio of the base area of the smaller pyramid to the base area of the larger pyramid?
Answer:
9/16
see explanation below
Step-by-step explanation:
This question is lacking figures. But it is easy to solve question asking for the ratio of the areas of a shape when the shapes are similar.
When shapes are similar, the ratio of their corresponding sides are equal.
whilst the ratio of the area of similar shapes is equal to the square of the ratio of their corresponding sides.
In other words, if the corresponding sides are a and b respectively, the ratio of their sides = a/b
and the ratio of the areas of the shape = (a/b)²
Assumption: Now if the side length of the smaller pyramid is 3/4(the side length of the larger pyramid)
let length larger pyramid = x
length of smaller pyramid = 3/4 x
their ratio (small/big) = (3x/4)/x = 3/4
ratio of their areas = (3/4)²
the ratio of base area of the smaller pyramid to the base area of the larger pyramid = 9/16
Answer:
A.) 9/16
Step-by-step explanation:
Have a great day, and take mental health breaks! You are loved :)
which of the following figures has a length, width, and height? A,point B,rectangle C, triangular prism D, ray
Answer:
C) Triangular Prism
The principal feature of the redesigned checks is a series of printed instructions that the company hopes will help merchants confirm a check’s authenticity, which includes reminders to watch the endorsement, compare signatures, and view the watermark while holding the check to the light.
(A) which includes reminders to watch the endorsement, compare signatures, and view
(B) which include reminders for watching the endorsement, to compare signatures and view
(C) by including reminders for watching the endorsement, comparing signatures, and viewing
(D) including reminders to watch the endorsement, comparing signatures and viewing
(E) including reminders to watch the endorsement, compare signatures, and view
Answer:
(E) including reminders to watch the endorsement, compare signatures, and view
Step-by-step explanation:
The principle features that will help the company to confirms checks authenticity. It include endorsements and compare the signatures with the designated signatories. If the signatures are matched correctly with the assigned signatories the check is hold in light to view the watermark on it.
A company has determined that its weekly profit is a function of the number of items that it sells. Which equation could represent the weekly profit in thousands of dollars, y, when the company sells x items? y squared = 4 x squared minus 100 y = negative x squared + 50 x minus 300 x = negative y squared minus 400 x squared = negative 6 y squared + 200
Answer:
B. y= -x^2 + 50x - 300
Step-by-step explanation:
Options given
A. y^2=4x^2 - 100
B. y= -x^2 + 50x - 300
C. x= -y^2 - 400
D. x^2= -6y^2 + 200
We are to find profits (y) function in thousands of dollars if the company sells x items.
We will use elimination method to eliminate the wrong options above in order to find the correct answer
Option A. y^2= 4x^2 - 100 is used to find the square of the profit function
Option B. y= -x^2 + 50x - 300 is used to calculate profit (y) function
Option C. x= -y^2 - 400 is for the calculation of the items x sold
Option D. x^2= -6y^2 + 200 is to find items x sold squared.
Since, we are required to find the profit (y) function, option A, C and D will be eliminated.
We are left with option B which is the correct answer to the question.
The weekly profits (y) function in thousands of dollars when the company sells x items is
B. y= -x^2 + 50x - 300
Answer:
B.
Step-by-step explanation:
I just took the quiz on edge
A rectangular prism with a volume of 666 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism
Answer:
48 cubes
Step-by-step explanation:
A rectangular prism with a volume of 6 cubic units is filled with cubes with side lengths of 1/2 units . how many 1/2 unit cubes does it take to fill the prism
Solution
Volume of a cube=b^3
Where,
b=side length of a cube
b=1/2 units
Volume of a cube=b^3
=(1/2)^3
=1/8 cubic units
Volume of the rectangular prism=6 cubic units
To find out the number of cubes needed to fill the prism, divide the volume of the rectangular prism by the volume of one cube
Number of cubes needed= Volume of the rectangular prism ÷ volume of a cube
=6 ÷ 1/8
=6 × 8/1
=48 cubes
A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is known that the standard deviation of the population is 22 mph. The standard error of the mean is
Answer: 2.
Step-by-step explanation:
Number of samples = 121
Average speed (sample mean) = 65mph
Population standard deviation = 22 mph
The standard error of the mean is:
Standard error of the mean(S.Em)
Standard error of the mean is the proportion of the population standard deviation and the square root of the sample size.
S.Em = standard deviation / √same size
S.Em = 22 / √121
S.Em = 22 / 11
S.Em = 2
The angle measurements in the diagram are represented by the following expressions
angle A = angle B corresponding angles
8x - 8 = 5x + 25
3x = 33
x = 11
angle B
5x + 25
55 + 25
80°
why arent answers showing up for a ton of people right now?
PLEASE HELP ME! I will not accept nonsense answers, but will give BRAINLIEST if you get it correct with solutions:)
Answer: B. He loses 1/5 of his points in the next crash
Plug in x = 0 to get y = 100(4/5)^0 = 100. He starts with 100 points
After x = 1 crash happens, he has y = 100(4/5)^1 = 80 points left. He lost 20/100 = 1/5 of his points after one crash.
Solve for r in the following equation: 2 (3+x) = 3r-4
A. 7/3
B. 5
C. 7
D. 10
Answer:
7/3 is the answer.
Hope this helps.....
Have a nice day!!!!
Give the digits in the tens place and the tenths place.
12.05
Can y’all solve this for me???
Answer:
1/4PI I GOT IT RIGHT ON KHAN ACADEMY
Step-by-step explanation:
HOPE I HELPED
PLS MARK BRAINLIEST
DESPERATELY TRYING TO LEVEL UP
✌ -ZYLYNN JADE ARDENNE
Answer:
[tex]\boxed{\frac{1}{2}\pi}[/tex]
Step-by-step explanation:
Use length of arc formula.
[tex]\frac{\theta }{360} \times2 \pi r[/tex]
The radius is 1 unit.
θ = 90°
[tex]\frac{90}{360} \times 2\pi (1)[/tex]
[tex]\frac{1}{4} \times 2\pi[/tex]
[tex]\frac{1}{2} \times\pi[/tex]
How many solutions are there to the equation below?
7(x + 2) = 7x-10
O A. Infinitely many
O B. o
O c. 1
Hi there! :)
Answer:
B. 0 solutions.
Step-by-step explanation:
Given the equation 7(x + 2) = 7x - 10
Simplify:
7(x + 2) = 7x - 10
Distribute the 7 with the terms inside of the parenthesis:
7x + 14 = 7x - 10
Subtract "7x" and 14 from both sides:
7x - 7x = -10 - 14
0 ≠ - 24. The equation has no solutions.
Answer:
[tex]\boxed{\sf B. \ 0}[/tex]
Step-by-step explanation:
[tex]\sf 7(x + 2) = 7x-10[/tex]
Expand brackets.
[tex]\sf 7x+14 = 7x-10[/tex]
Subtract 7x and 14 from both sides.
[tex]\sf 7x+14 -7x-14= 7x-10-7x-14[/tex]
[tex]\sf 0=-24[/tex]
There are 0 solutions.
plzzzzz help meeee 10points!
Write as an algebraic expression: 6 less than the product of 4 and a number
Hi there! I know I'm a little late but, hopefully this helps!
-------------------------------------------------------------------------------------------------------------
"6 less than the product of 4 and a number" means:
4 × n - 6
find the prime factorization of 47
What is the value of y? Answer asap
Answer:
y=3
Step-by-step explanation:
10=2y+4
10-4=2y
6=2y
3=y
Factorise each expression.
Answer:
Multiple Answers
Step-by-step explanation:
A) c^2+4c
(c+2c)^2
We just needed to see the sqrt of the terms
d) No perfect sqrt, so this is a coomon factor problem
3m(m+1)
g) Another common factor problem
3x(2x+1)
j) another common factor problem
3y(9y-5)
Answer:
a- c²+4c
c(c+4)
d- 3m²+3m
3m(m+1)
g- 6x²+3x
3x(2x+1)
j- 27y²-15y
3y(9y-5)
Sudhir bought an almirah for RS 13600 and spent RS 400 on its transportation . He sold it for RS 16800 . find the his gain percent
Answer:
His gain percent is 20%
Step-by-step explanation:
In this question, we want to find the percentage gain of the business.
We need the following parameters;
The cost price which is the sum of the amount she bought the goods + the amount spent on transport
Using the values we have in the question;
The cost price will be;
13,600 + 400 = Rs 14,000
The selling price = Rs 16,800
Mathematically the percentage gain will be;
% gain = (selling price- cost price)/selling price * 100%
% gain = (16,800-14,000)/14,000 * 100/1
% gain = 2800/14,000 * 100/1 = 1/5 * 100/1 = 20%
Find the 12th term of the arithmetic sequence whose common difference is d=6 and whose first term is a, = 2.
Answer:
The 12th term is 68Step-by-step explanation:
Since the sequence is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
d = 6
a = 2
n = 12
So the 12th term of the sequence is
A(12) = 2 + (12-1)6
= 2 + 11(6)
= 2 + 66
A(12) = 68Hope this helps you
In the right triangle shown, DF=EF=3DF=EF=3D, F, equals, E, F, equals, 3.
How long is DEDED, E?
Choose 1 answer:
Answer:
DE = 4.24
Step-by-step explanation:
The diagram is not shown; However, the question can still be solved without the diagram.
Having said that,.
Given that
DF = EF = 3
This implies that DE is the hypothenus and will be solved using Pythagoras theorem.
DE² = EF² + DF²
Substitute 3 for EF and DF
DE² = 3² + 3²
DE² = 9 + 9
DE² = 18
Take Square Root of both sides
DE = √18
DE = 4.242640687119285
DE = 4.24 (Approximated)