Answer:
g=3
Step-by-step explanation:
5g+6=2g+15
3g=9
g=3
rationalise the denominator of (6+root3)(6-root3) over root33
Answer:
√33
Step-by-step explanation:
In the image .
The expression (6 + √3) (6 - √3) / √33 upon rationalizing the denominator gives √33.
What is Square Root?Square root of a number is the value such that upon multiplying the value by itself twice gives the original number.
The given expression is (6 + √3) (6 - √3) / √33
We have the identity,
(a + b) (a - b) = a² - b²
∴ (6 + √3) (6 - √3) / 33 = 6² - (√3)² / √33
= (36 - 3) / √33
= 33 /√33
Multiplying numerator and denominator by √33,
(6 + √3) (6 - √3) / 33 = (33 × √33) / (√33 × √33)
= 33√33 / 33
= √33
Hence upon rationalizing the denominator in the expression (6 + √3) (6 - √3) / 33 yields √33.
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Find the area of the sheet required to make closed cylindrical vessel of height 1 m and diameter 70 cm?
Answer:
The area of the sheet needed is 3m^2 approx.Step-by-step explanation:
Step one:
given
height h= 1m
diameter= 70cm= 0.7m
radius r= d/2= 0.7/2= 0.35m
The surface area or the total surface of a cylinder is equal to the sum of the base area times two and the area of the curved surface.
The formula is
T.S.A.=2πrh+2πr^2
Required is the T.S.A
Step two:
substitute our given data we have
T.S.A.=2*3.142*0.35*1+2*3.142*0.35^2
T.S.A.=2.199+0.769
T.S.A.=2.96m^2
T.S.A.=3m^2 approx.
In ΔSTU, the measure of ∠U=90°, ST = 33 feet, and US = 20 feet. Find the measure of ∠T to the nearest tenth of a degree.
Answer:
37.3°
Step-by-step explanation:
sin β = [tex]\frac{20}{33}[/tex] ⇒ β = arcsin [tex]\frac{20}{33}[/tex] = 37.3°
965 divided by 31 is the question I need help with
Answer:
31.12
Step-by-step explanation:
Answer:31.129
Step-by-step explanation:
can you tell me the answer please?
Answer:
This graph is not a function.
Step-by-step explanation:
For every x value, it has more than one y value. The graph also doesn't pass the vertical line test.
Answer:
Not a function
Step-by-step explanation:
It fails the vertical line test. 2 points can not cross on this test
Write the equation of the line that passes through the points (8, -4) and (-2,5).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
The equation in the slope-intercept form will be:
Step-by-step explanation:
Given the points
(8, -4) and (-2, 5)The slope between two points
[tex]m=\frac{5-\left(-4\right)}{-2-8}[/tex]
[tex]m=-\frac{9}{10}[/tex]
As the point-slope form is
[tex]y-y_1=m\left(x-x_1\right)[/tex]
substituting the values m = -9/10 and (8, -4)
[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]
Writing the line equation in the slope-intercept form
[tex]y=mx+b[/tex]
where m is the slope and b is the y-intercept
so the equation in the slope-intercept form will be:
[tex]y-\left(-4\right)=-\frac{9}{10}\left(x-8\right)[/tex]
[tex]y+4=-\frac{9}{10}\left(x-8\right)[/tex]
subtract 4 from both sides
[tex]y+4-4=-\frac{9}{10}\left(x-8\right)-4[/tex]
[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]
Therefore, the equation in the slope-intercept form will be:
[tex]y=-\frac{9}{10}x+\frac{16}{5}[/tex]
Please help me i'm not very good at math :))
Answer: (1, 5)
Explanation:
You really just have to input all the variables into the inequality and see if it is accurate.
(2, 4)
4 > 2(2) 4 > 4 no, it is equal to, not greater than
4 > 3 yes
(0, 3)
3 > 2(0) 3 > 0 yes
3 > 3 no, again, equal to
(4, 6)
6 > 2(4) 6 > 8 no
6 > 3 yes
(1, 5)
5 > 2(1) 5 > 2 yes
5 > 3 yes
A house is purchased for $300,000 and its value appreciates by 2.75% per year.In how many years will the house be worth $375,000?
Answer:
In 9.09 years
Step-by-step explanation:
In about 9 years, the house would be worth $375,000.
An exponential growth is in the form:
y = abˣ;
where y, x are variables, a is the initial value of y and b is > 1
Let y represent the price of the house after x years.
Since it has a value of $300000 initially, hence a = $300000. Also it appreciates by 2.75% per year, hence b = 100% + 2.75% = 1.0275. Hence:
y = 300000(1.0275)ˣ
For the house to be worth $375,000:
375000 = 300000(1.0275)ˣ
1.25 = (1.0275)ˣ
xln(1.0275) = ln(1.25)
x = 8.2 years
In about 9 years, the house would be worth $375,000.
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Identify the key components and write an inequality for each graph:
Answer:
b= (0,3)
m= 2/3
inequality= y < 2/3x+3
Step-by-step explanation:
b is the y-intercept. the way to find the y-intercept is looking where the line ends up on the y line. m is the slope. the trick to finding the slope is to choose two points and go up then go to the side where the point is. it forms a triangle. count how much it went up and how much you went to the side. then make it rise over run. the inequality works that way since y is 2/3 of x.
answer this question for brainliest
Answer:
y = -7x + 26
I checked it on Desmos
Find f(4) if f(x)=−3x2+11x+37
Hi there!
[tex]\large\boxed{f(4) = 33}[/tex]
f(x) = -3x² + 11x + 37
Substitute in 4 for x to find f(4):
f(4) = -3(4)² + 11(4) + 37
f(4) = -3(16) + 44 + 37
f(4) = -48 + 44 + 37
f(4) = 33
A car uses 1 2/5 gallons of gasoline to travel 50 3/4 miles. How far can the car travel, in miles, on 1 gallon of gasoline?
Answer:
30 9/20
Step-by-step explanation:
(50 3/4)-((2/5) x (50 3/4)
=30.45
=30.45/1
=30.45/1 x 100/100
=3045/100
=3045÷5/100÷5
=30 9/20
30.45= 30 9/20
Hope this helps have a good day.
Answer:
your answer choices are here 4/145, 8/15, 36 1/4, or 71 1/20
Step-by-step explanation:
A ?
B?
C ?
D?
PLEASE
What is the y intercept y=-4-3/2x
Answer:
should be -4
Step-by-step explanation:
7 3 = 14 h − 7 2
Answer:
10.357
Step-by-step explanation:
h=145 =10.357
14
hope this helps:)
On a coordinate plane, a line goes through points (1, 9) and (4, 3).
What is the slope of a line that contains the points (1, 9) and (4, 3)?
Answer:
yes
Step-by-step explanation:
l,l,;,;,;,;l,;,;
Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers. Find the largest odd number.
Answer: 15
Step-by-step explanation:
suppose; three consecutive odd integers are x; x + 2; x+ 4 (x is a odd integer)
because Five times the second of three consecutive odd integers is thirteen less than three times the sum of the first and third integers
=> 5(x + 2) = 3( x +x +4) - 13
<=> 5x + 10 = 6x + 12 - 13
<=>6x - 5x = 10 + 13 - 12
<=> x = 11
=> the largest odd number is 11 + 4 = 15
The largest of the three consecutive odd integers which could be written as a, a+2 and a + 4 is 15
Let the integers be : a, a + 2, a + 4
Creating a mathematical equation using the scenario given.
5(a + 2) = 3(a + (a + 4)) - 13
Open the bracket bracket
5a + 10 = 3(2a + 4) - 13
5a + 10 = 6a + 12 - 13
5a + 10 = 6a - 1
Collect like terms
5a - 6a = - 1 - 10
-a = - 11
a = 11
The largest integer = a + 4 ; 11 + 4 = 15
Therefore, the largest of the consecutive odd integers is 15
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Help please, thank you
Answer:
Left you a little something to visualize the question
Need help ASAP!! Plz help me
The triangles below are similar from A to B. What is the scale factor? *
5/4
3/5
2/3
4/5
Answer: The scale is 5/4
Step-by-step explanation:
To determine the scale factor, you have to locate which sides are similar to each other .
the side length with 20 is congruent to 16
15 is similar to 12 and 10 is similar to 8.
And to get from triangle A to triangle B of any side length, we need to multiply by a certain number which is the scale factor.
And to find that number we will divide the side length of any side in triangle A by the similar side to it in triangle B.
20/ 16 = 5/4
15/ 12 = 5 / 4
10 / 8 = 5/4
Solve 2v2 – 22v + 60 = 0.
Question 6 options:
A)
v = 10, v = 12
B)
v = –10, v = –12
C)
v = –5, v = –6
D)
v = 5, v = 6
Answer:
D
Step-by-step explanation:
I took the test.
X Co. Sold a Building which cost $400,000 for $450,000. The accumulated depreciation taken on the building at the time of disposal was $300,000. Complete the journal entry to record the gain or loss on the sale.
Answer:
Following are the solution to this question:
Step-by-step explanation:
Please find the complete question in the attached file.
Account Title Dr. Amount Cr. Amount
Money [tex]\$ \ 4,50,000[/tex]
Depreciation Accumulated [tex]\$ \ 3,00,000[/tex]
Profit from its sale of development [tex]\$ \ 3,50,000[/tex]
The Building [tex]\$\ 4,00,000[/tex]
(Being sold and registered as a building)
Bill's Bargains sells 16 ounces of Circle O's cereal for $3.36. Debbie's Deals sells 40 ounces of Circle O's cereal for $7.60. Which store as the better deal?
Answer:
Debbie's Deals has the better deal with a price of $0.19 per ounce compared to Bill's Bargains at $0.21 per ounce.
Step-by-step explanation:
Divide $3.36 by 16 = $0.21
Divide $7.60 by 40 = $0.19
Debbie's Deals sells the Circle O's cereal for a cheaper per ounce price thus it's the better price and the better deal.
Good luck!
2. Find the smallest number by which each of the following numbers must be multipliet
to obtain a perfect cube.
(i) 243
(ii) 256
(m) 72
(iv) 675
(v) 100
3. Find the smallest number by which each of the following numbers must be divided to
obtain a perfect cube.
(i) 81
(i) 128
(iii) 135
(iv) 192
(v) 704
Answer:
Step-by-step explanation:
Can someone help me out
Answer:
it is D
(1.5-6)/-2-4 =0.75
tell whether this sequence is arithmatic. If it is, what is the common difference. 10, 15, 21, 28
Answer:
No this is not arithmetic this is geometric
Step-by-step explanation:
10 to 15 is a increase of 5
15 to 21 is a increase of 6
21 to 28 is a increase of 7 arithmetic have to have steady increases
Answer:
Hola!
Step-by-step explanation:
Which of the following best describes the function shown below?
a.Linear
b.Quadratic
c.Exponential Growth
d.Exponential Decay
Answer: I need to see the picture of the work first to tell u
Step-by-step explanation:
5(x-24)+2x+3. What is the answer to this?
Answer:
7x-117
Step-by-step explanation:
1. Distribute the 5 to the terms in parentheses.
5x-120+2x+3
2. Combine like terms.
7x-117
My production line creates 3 different widgets. Widget A sells for $12. Widget B sells for $18. Widget C sells for $35. I made a total revenue of $1735 yesterday. I sold a total of 70 widgets. The number of C widgets sold is equal to the total number A and B sold. How many of each type of widgets did I sell?
9514 1404 393
Answer:
20 A widgets15 B widgets35 C widgetsStep-by-step explanation:
Half the widgets sold were $35 widgets, so the revenue from them was ...
(70/2)($35) = $1225
This means the remaining $1735 -1225 = $510 in revenue came from the sale of a total of 35 A and B widgets.
If we let 'b' represent the number of B widgets sold, then the revenue is ...
12(35 -b) + 18b = 510
6b +420 = 510
6b = 90
b = 15 . . . . . . . number of B widgets sold
35 -b = 20 . . . number of A widgets sold
20 A widgets, 15 B widgets, and 35 C widgets were sold.
__
Check
Total revenue was 20(12) +15(18) +35(35) = 240 +270 +1225 = 1735.
Total widgets were 20 +15 +35 = 70.
The total of A and B was 20 +15 = 35, the same as the number of C.
45,60
8, 16, 32
PJ
n) 60, 90, 120 o)
Find the least (smallest) number which is exactly divisible by 12 and 16.
Find the smallest number which is exactly divisible by 24 and 36.
Find the smallest numharthotic divided by 26 and 49 without leaving
Answer:
Step-by-step explanation:
I don't understand what the numbers before the language mean. I will answer the questions that have a definite language.
12 = 2 * 2 * 3
16 = 2 * 2 * 2 * 2
The answer is going to require you have 4 fours and one 3
2 * 2 * 2 * 2 * 3 = 48
24 = 2 * 2 * 2 * 3
36 = 2 * 2 * 3 * 3
The answer is going to require two threes and three 2s
2 * 2 * 2 * 3 * 3 = 72
What is this word numharthotic
26 = 2 * 13
49 = 7 * 7
The smallest number that can be divided by both with no remainder is
2 * 7 *7 * 13 = 1276
