Answer:
B
Step-by-step explanation:
In B, the lines are parallel meaning they will never intersect and have no solution. However, in C you can tell that the lines will intersect eventually so it does have a solution.
Answer:
B
Step-by-step explanation:
From the picture I can see you crossed out A and D, which only leaves B and C. If we extrapolate the graph at C the lines are eventually going to intersect, whereas in B the lines are going in parallel against each other, meaning there will never be an intersection between the two. So B would represent a system of equations with no solutions.
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answer: JGI
Step-by-step explanation:
An adjacent angle are angles that share a vertex and side. FGI and JGI share the vertex G and the segment GI
Have a good day!
What is the radius of a circle whose equation is (x – 7)2 + (y – 10)2 = 4? 2 units 4 units 8 units 16 units
Answer:
A. 2 units
Step-by-step explanation:
took the test and got it right
The radius of the circle is r = 2 units
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of the circle be represented as A
Now , the value of A is
( x - 7 )² + ( y - 10 )² = 4
The equation ( x - 7 )² + ( y - 10 )² = 4 represents a circle in standard form, where the center of the circle is located at the point (7, 10) and the radius is the square root of the number on the right side of the equation
Taking the square root of 4, we find that the radius of the circle is 2 units
Hence , the radius is r = 2 units
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bob has 20 apples, billy has 20 pears, bob gives 4 pears to his little sister, billys uncle gives him 69 bananas. What is the difference between the total fruits billy and bob have
Answer:
73
Step-by-step explanation:
Bob
20-4=16
Billy 20+69=89
89-16=73
Write, in slope-intercept-form, the inequality shown in the graph.
Two points which the boundary line intersects are shown.
Answer:
[tex]y \leqslant -x + 1[/tex]
Step-by-step explanation:
First write the equation of the line with either inequality sign, like so:
[tex]y \geqslant -x + 1[/tex]
Then check to see if the equation is true. The easiest way to do this is to plug the coordinates (0,0) into the equation:
[tex]0 \geqslant -0 + 1 \\ 0 \geqslant 1[/tex]
Since 0 > 1 is false, you know that the correct inequality must be:
[tex]y \leqslant -x + 1[/tex]
If you want to check this, plug the coordinates (0,0) into the equation:
[tex]0 \leqslant -0 + 1 \\ 0 \leqslant 1[/tex]
Since 0 < 1 is true, you know this equation is correct.
I hope that helped! If I made a mistake, just let me know.
Write the percent as a fraction or mixed number in simplest form.
72.5%
Please show your work. Thank you!
Answer:
[tex]\frac{29}{40}[/tex]
72.5% As a Fraction
= [tex]\frac{0.725*1000}{1*1000}[/tex]
=[tex]\frac{725}{1000}[/tex]
=[tex]\frac{725/25}{1000/25}[/tex]
=[tex]\frac{29}{40}[/tex]
:) I hope this helped you
Answer: As a fraction it is 145/2 and as a mixed number it is 72 1/2
Step-by-step explanation:
First write down the number like this, 72.5/1
Then multiply each number by ten like this, 72.5 x 10 = 725
And 1 x 10 = 10 and write that as a fraction like this, 725/10
Next do 725 divided by 5 = 145 and 10 divided by 5 = 2
And put that in a fraction like this 145/2
That is the fraction of 72.5%
As a mixed number you put the 72 as a whole number and 1/2 because 5 represents a half
I hope this is helpful
5. Simplify the expression 49. (1 point)
O24.5
O 6.5
06
OT
6. Which of the following inequalities is true? (1 point)
Answer:
7
Step-by-step explanation:
the square root of 49 is 7 since 7 x 7 = 49
No files or links please!
graph y= -4/3 x+2 using the slope and y-intercept
slope: 3
y-intercept: (0,-2)
Answer: there you go
Step-by-step explanation:
A certain tiger shark is 55 cm long at birth and grows 2.5 cm / year. A certain hammerhead shark is 25 cm long at birth and grows 5 cm/year. When will the sharks be equal in length?
Let x = time in years
Let y = length of the sea creatures
The equation for the length of the tiger shark is
[ Select ]
. The equation for the length of the spiny dogfish hammerhead shark is
[ Select ]
. Solving with elimination, the sharks will be equal in length when
[ Select ]
years have passed.
Answer:
Step-by-step explanation:
equation for tiger shark:
for each additional year, it grows by 2.5 cm so that would be shown as 2.5x. also it starts at 55 so you would have to add 55 to that 2.5x.
the equation would be y = 2.5x + 55
equation for hammerhead:
do the same process with the other numbers. this would be
y = 5x + 25
solve with elimination:
subtract the two equations, which would eliminate the y variable
y = 5x + 25
- (y = 2.5x + 55)
you get
0 = 2.5x - 30
solve that for x
2.5x = 30
x = 12 years
so the years that have passed is 12. to find the length, plug in x = 12 into one of the equations:
y = 5x + 25 becomes y = 5 * 12 + 25 = 60 + 25 = 85
so they will be 85 cm long each.
Find the value of x.
X=
137°
(4x-17)
Answer:
x = 15°
Step-by-step explanation:
These angles form a linear
4x - 17 + 137° = 180°
4x - 17 = 43°
4x = 60°
x = 15°
Stacy was sitting in a seat at a football game when another ticket holder told her she was in the
wrong seat. The other ticket holder politely told Stacy she needed to go 3 rows down and 5
seats to the right. Which rule describes the translation needed to put Stacy in the correct seat?
(x, y) + (x - 5, y + 3)
(x, y) = (x - 3, y + 5)
(x, y) = (x + 5, y - 3)
(x, y) = (x + 3, y-5)
Answer:
The answer is (x, y) = (x + 3, y-5)
Step by step explanation:
So y is the up and down axis while x it the side to side axis, so for y it would be 5 down (-5) and for x it would be 3 to the right (3).
Your Welcome. :)
132 divided by 0.11 i need help ;-;
Answer:
Step-by-step explanation:
1. 132+0.11
2. Answer is 1200
Entering it in Your Calculator
(132 Divided by 0.11)
= 1200
Gabriella earns $17 an hour and gets a 15%
raise. With her raise, how much will she earn after working 40 hours?
A. $680
B. $702
C. $782
D. $796
c: 782 dollars
.15 times 17 is 2.55
17+2.55= 19.55
19.55 times 40=782
find the common factor and rewrite.
8A + 11A =
i've been on this question for like 3 days. the answer is NOT 1(8A+11A)
Answer:
8A + 11A = A(19)
Step-by-step explanation:
8A + 11A
= A(8 + 11) Factor out the common factor A
= A(19)
Gillian can jog 100 metres in 24 seconds. How long will it take her to jog 2 km?
Answer:
8 minutes or 480 seconds
Step-by-step explanation:
1 km = 1000 m
100x20=2000
24 x 20 = 480
480/60 = 8
Answer:
Step-by-step explanation:
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
Answer:
-48
Step-by-step explanation:
-6=x/8
-6×8=x
x=-48
What is the solution to the equation? −6 = x/8 Enter your answer in the box. x = ?
The solution to the equation is: -48
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Help!!! 100 points! for correct
Answer:
D)
Step-by-step explanation:
100 - 32 + 24/4 * 2
100 - 32 + 6 * 2
100 - 32 + 12
100 - 32 + 12 = 80
Answer:
your answer would be C.
Step-by-step explanation:
even though it looks like you would do 24/4 you would actually multiply first. you would multiply 4 by 2 and then you would divide and then add and then subtract. You could use PEMDAS here again. since there's no parentheses and no exponents then you multiply and then divide and then go on to add and then subtract.
also sorry for the late response my data didn't want to work because I currently in school
solve one step equation
x/-2 = -3
Answer:
x=6
Step-by-step explanation:
x/-2=-3
*-2 *-2
x=6
-hope it helps
which is the better deal $2.98 for 2 liters of soda or $7.40 for 5 liters? find the unit price of the better deal on the coloring sheet.
Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Hope this Helps :)
Can u mark me the brainliest
Hey Guys!
Try to solve this maths question.....
[tex]a + b + c = 4 \\ {a}^{2} + {b}^{2} + {c}^{2} = 10 \\ {a}^{3} + {b}^{3} + {c}^{3} = 22 \\ {a}^{4} + {b}^{4} + {c}^{4} = ? [/tex]
Don't copy from web and Don't spam
Need answer as well as explanation
Thank You!
Use the multinomial theorem to compute some polynomial expansions:
(a + b + c)² = a² + b² + c² + 2 (ab + ac + bc)
(a + b + c)³ = a³ + b³ + c³
… … … … … … + 3 (a²b + a²c + ab² + b²c + ac² + bc²)
… … … … … … + 6 abc
(a + b + c)⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (a³b + a³c + ab³ + b³c + ac³ + bc³)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
Now, given that
a + b + c = 4
a² + b² + c² = 10
it follows that
ab + ac + bc = (4² - 10)/2 = 3
We use this result to simplify the extra terms in the 3rd-degree expansion.
a²b + a²c + ab² + b²c + ac² + bc²
= a (ab + ac) + b (ab + bc) + c (ac + bc)
= a (ab + ac + bc) + b (ab + ac + bc) + c (ab + ac + bc) - 3abc
… … I underline the terms that are added and subtracted … …
= (a + b + c) (ab + ac + bc) - 3abc
= 4 • 3 - 3abc
= 12 - 3abc
Given that
a³ + b³ + c³ = 22
this tells us that
4³ = 22 + 3 (12 - 3abc) + 6abc
4³ = 58 - 3abc
and so
abc = (4³ - 58)/(-3) = -2
from which it follows that
a²b + a²c + ab² + b²c + ac² + bc² = 12 - 3 • (-2) = 18
Now we similarly simplify the extra terms in the 4th-degree expansion.
a³b + a³c + ab³ + b³c + ac³ + bc³
= a² (ab + ac) + b² (ab + bc) + c² (ac + bc)
= a² (ab + ac + bc) + b² (ab + ac + bc) + c² (ab + ac + bc) - a²bc - ab²c - abc²
= (a² + b² + c²) (ab + ac + bc) - (a²bc + ab²c + abc²)
= 10 • 3 - (a²bc + ab²c + abc²)
which means
4⁴ = a⁴ + b⁴ + c⁴
… … … … … … + 4 (30 - a²bc - ab²c - abc²)
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 12 (a²bc + ab²c + abc²)
reduces to
136 = a⁴ + b⁴ + c⁴
… … … … … … + 6 (a²b² + a²c² + b²c²)
… … … … … … + 8 (a²bc + ab²c + abc²)
Now, we know a + b + c = 4 and abc = -2, so we have
a²bc + ab²c + abc² = abc (a + b + c) = -2 • 4 = -8
and so
136 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²) + 8 • (-8)
200 = a⁴ + b⁴ + c⁴ + 6 (a²b² + a²c² + b²c²)
Finally, we know that ab + ac + bc = 3. Squaring this gives
(ab + ac + bc)² = 3²
a²b² + a²c² + b²c² + 2 (a²bc + ab²c + abc²) = 9
but we also know that a²bc + ab²c + abc² = -8, so
a²b² + a²c² + b²c² + 2 • (-8) = 9
a²b² + a²c² + b²c² = 25
Therefore, we end up with
200 = a⁴ + b⁴ + c⁴ + 6 • 25
⇒ [[[ a⁴ + b⁴ + c⁴ = 50 ]]
What is the value of 0.4–0.1? Write your answer as a fraction in lowest terms.
Answer:
3/10
Step-by-step explanation:
0.4 - 0.1 = x
there are two ways I can find the answer to this question.
Option 1
0.4 - 0.1 = 0.3 then turn it into a fraction which would be 3/10
or I can turn both into fraction and subtract them
4/10 - 1/10 = 3/10
Both ways would give you the same answer!
I hope this helps!!
Please tell me if I have made any mistakes I enjoy learning form them:)
The value of 0.4 - 0.3 = 0.1 and the fractional form is 3/10
What is a Fraction?
An element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
Given data ,
Let the equation be A = 0.4 - 0.1
The value of A = 0.4 - 0.1
= 0.3
A = 0.3
Multiply by 10 on both sides , we get
10A = 3
Divide by 10 on both sides , we get
A = 3/10
Hence , the fractional form of 0.3 is 3/10
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PLEASE HELP WITH ALGEBRA WILL GIVE BRAINLIEST
Answer:
x^5/4
Step-by-step explanation:
The first one
Simplify:
-5x - 2(3x - 7) + 4(3x - 5) - (6x -9)
Answer:
7x+3
Step-by-step explanation:
-5x+6x+14+12x-20-6x+9
combine like terms
7x+3
Find the values of k for which y = kx + 1 is a tangent to the curve y = 2x^2 + x +3
5 ex to the power of 2. minus 36 ex. + 36. = 0
Answer:
The answer is x=6
Three men can build a wall in 8 days. How long will it take them if they have the help of 2 boys? Assume that each boy works half as fast as each man.
(with explanation pls)
Answer:
6 days
Step-by-step explanation:
2 boys that each work half as fast as the men is equivalent to having one extra man. So instead of 3 men we have 4. 4/3 the manpower means 3/4 the time. 3/4 of 8 is 6.
Answer:
6 days.
Step-by-step explanation:
The 3 men can build 1/8 of a wall in 1 day.
So 1 man can build 1/24 wall in 1 day.
So 1 boy can build 1/48 in 1 day and 2 boys can build 1/24 wall in 1 day.
So we have the equivalent of 4 men working and they can build 4 * 1/24
= 1/6 of a wall per day
So the answer is 6 days.
Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s).
72
The measure of angle is 4. The measure of its reference angle is
and tan eis
Step-by-step explanation:
the reference angle is the smallest angle difference between the defining terminal arm of the angle and the x-axis. it is always positive.
if an angle is smaller than 90°, then it is is own reference angle.
7pi/4 is 1pi/4 (or simply pi/4) short of a full circle (2pi or 8pi/4).
therefore, if is easy to see that this pi/4 is the reference angle (45°).
tan(7pi/4) = -1, while tan(pi/4) = 1.
for every 45° angel in every quadrant the absolute values of sine and cosine are equal.
but in quadrant 1 both, sine and cosine, are positive, while in quadrant 4 sine is negative and cosine is positive.
and since tan = sine/cosine, this gives us the results above.
what is the answer??
Answer:
y= 4x+3
Step-by-step explanation:
To write your equation, solve for the slope.
(y2-y1)/ (x2-x1)
Find two coordinate points from the table.
(0,3) (1,7)
(7-3)/ (1-0)= 4
m=4
Use point-slope equation to find your equation.
(y-y1)=m(x-x1)
(y-3)=4(x-0)
y-3= 4x
y= 4x+3
answer this as quick as possible
Step-by-step explanation:
For #1, if it says + you add the number of hours. Ex: Time in UTC 0 is 12:00, time in +3 is then 15:00 (3pm).
The same vice versa. Ex: Time in UTC 0 is 16:00 (4pm), in -2 it will be 14:00 (2pm).
For #2, +4 will be Friday at 22:00 (10pm) and for +7 it will be Saturday 1:00 (1am) etc.
Same for the - but it goes backwards
Hope that helps
a joker cap is in the form of a right circular cone of base radius 10.5cm and height 36cm. find the area of sheet to make 20 such caps....?
plz answer this
We know that
l² = r² + h²
l² = (10.5)² + (36)²
l² = 110.25 + 1296
l² = 1406.5
l = √(1406.5)
l = 37.5 cm
Now,
CSA of cone = πrl
=> 22/7 × 10.5 × 37.5
=> 22 × 1.5 × 37.5
=> 1237.5 cm²
Area of 20 caps = 20 × 1237.5
=> 24750 cm²
Answer:
24740 cm²
Step-by-step explanation:
First let us find the slant height (l) of the corn
l² = r² + h²
l² = (10.5)² + (36)²
l² = 110.25 + 1296
l² = 1406.25
l = √1406.25
l = 37.5 cm
Now let us use this formula to find the area of a corn
π r l
π × 10.5 × 37.5
1237.00 cm²
And now let's find the area of 20 caps or corns
1237.00 × 20
24740 cm²
Hope this helps you :-)
Find the difference between 7/10 and 1/5
Answer:
Its d 5/10
Step-by-step explanation:
Answer:
D
Step-by-step explanation: