Answer: 5 valid arrangements
Step-by-step explanation:
This depends on whether the boys or girls swapping places are considered unique solutions. I'm going to assume that is no, because there would be an unrealistic amount of solutions if it is true.
Assuming G = girl and B = boy, these are the possible arrangements.
(I will bold the valid solutions).
GGBBBB
GBGBBB
GBBGBB
GBBBGB
GBBBBG
BGGBBB
BGBGBB
BGBBGB
BGBBBG
BBGGBB
BBGBBG
BBBGGB
BBBBGG
Thus, there are 5 valid arrangements.
Hope it helps <3
Answer:
12 different arrangements because the roles of the girls could be switched around.
Step-by-step explanation:
b = boys
g= girls
1:
bggbbb
2:
bbggbb
3:
bbbggb
4:
bgbbgb
5:
bgbgbb
6:
bbgbgb
Hope this helped! Brainliest would be appreciated :)
What is the common ratio of the following sequence?
-5, -20, -80,-
0-4
0 1
NI
04
NEYT OLIESTION
Answer:
4
Step-by-step explanation:
Given
-5, -20, -80, .....
Required
Determine the common ratio
The common ratio of a sequence is determined by dividing a term by its immediate previous term;
Let the term be represented with [tex]T_1, T_2, T_3[/tex] and the common ratio with r
From the analysis above;
[tex]r = \frac{T_2}{T_1}\ or\ r = \frac{T_3}{T_2}[/tex]
Substitute -5 for [tex]T_1[/tex]; -20 for [tex]T_2[/tex]; -80 for [tex]T_3[/tex]
[tex]r = \frac{-20}{-5}\ or\ r = \frac{-80}{-20}[/tex]
[tex]r = 4\ or\ r = 4[/tex]
Both values of r are the same;
Hence, the common ratio of the sequence is 4
AWARDING BRANLISG TO FIRST CORRECT ANSWER
(PHOTO ABOVE)
Answer:
Using difference of squares it is (a + c + b)(a + c - b).
Difference of squares formula: a² - b² = (a + b)(a - b)
In this case, a = a + 2 and b = b.
Pls anyone help need help
Answer:
- 2 ≤ n < 8
Step-by-step explanation:
The closed circle at - 2 indicates that n can equal - 2
The open circle at 8 indicates that n cannot equal 8
Otherwise n can be all value between - 2 and 8 including - 2, thus
- 2 ≤ n < 8
Which statement is the most appropriate comparison of the spreads?
Answer:
D The IQR for town A is less than the IQR for town B
Step-by-step explanation:
A small IQR indicates that the points are closer together, while a larger IQR means that the points are scattered and that the plot is skewed in a certain direction. As you can see, town A's plot looks fairly balanced, while town B's plot is skewing to the left. Hope this helps :)
0.5 5% 1/5 smallest to largest
Answer:
5% (smallest), 1/5, 0.5 (largest).
Step-by-step explanation:
The simplest thing to do would be to convert all of these to decimals.
0.5 is already a decimal.
5% is basically just 5/100, which is 0.05.
1/5 is 0.2.
From there, you can see that the smallest value is 5%, since it is 0.05, followed by 1/5, and finally the largest, 0.5.
Hope this helps!
What property do rectangles and parallelograms always share? 4 right angles 4 sides of equal length 2 pairs of parallel sides 2 acute angles (1 answer choice)
Answer:
A property that rectangles and parallelograms always share is that they both have two pairs of parallel sides.
Step-by-step explanation:
A rectangle is a shape that has two pairs of parallel sides and has 4 right angles.
A parallelogram is a shape that has two pairs of parallel sides and has 2 pairs of congruent sides.
The only thing these shapes have in common is that they both have two pairs of parallel sides.
Answer:
C: 2 pairs of parallel side
Step-by-step explanation:
I got it correct in a quiz I did that had this question.
Consider the line - 8x-5y = -7.
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line?
Answer:
See below
Step-by-step explanation:
First, you need to find the slope of the given line. You can do this by rearranging the equation so that it is in slope-intercept form (y = mx + b).
-8x - 5y = -7
-5y = 8x - 7
y = -8/5x + 7/5
The slope of this line is -8/5.
The slope of a line that is perpendicular will be the negative reciprocal. You have to change the sign, and basically flip the numerator upside down. The slope of the perpendicular line will be 5/8
-8/5 = 8/5 = 5/8
The slope of a line that is parallel will be equal. This means that the slope will be -8/5.
PLZZ ANSWER AND ANSWER STEP BY STEP PLZZZ I NEED HELP!
Elaine earns $9.50 for the first 10 1/2 hours she works and $10.30 for every hour after that.If Elaine worked 20 1/4 hours,how much would she earn.
Answer: B
Step-by-step explanation:
I had this question on EDG
Given O O below, the arcs GĦ and JK must be congruent.
G
#
A. True
70"
B. False
125
K
SUBM
Answer:
False.
Step-by-step explanation:
Just look at them. They aren't even similar.
A circle is a curve sketched out by a point moving in a plane. The given statement "Given circle O below, the arcs GH and JK must be congruent." is false.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the center.
For the given two arcs in the circle, the given statement "Given circle O below, the arcs GH and JK must be congruent." is false. This is because the measure of the central angle of the both arcs is not equal. Therefore, it can be concluded that the length of the two arcs is not equal.
Hence, the given statement is false.
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From the figure, if y = 400 then find the value of x .
Answer:
70°Solution,
y=40°
now,
[tex]2x + y = 180( \: sum \: of \: angle \: in \: straight \: line) \\ or \: 2x + 40 = 180 \\ or \: 2x = 180 - 40 \\ or \: 2x = 140 \\ or \: x = \frac{140}{2} \\ x = 70 \: degree[/tex]
Hope this helps...
Good luck on your assignment...
A rectangular prism has a length of 3 feet, a height of 7 feet, and a width of 14 feet.
What is its volume, in cubic feet?
Answer:
294 cubic ft.
Step-by-step explanation:
All you do is just multiply the length, width, and height!
3 × 14 × 7 = 294
hopefully this helped :3
Answer:
294 cubic feet
Step-by-step explanation:
What is Negative 2 (3 x + 12 y minus 5 minus 17 x minus 16 y + 4) simplified?
Answer:
28x+8y+2
Step-by-step explanation:
Write out the equation first: -2 (3x+12y-5-17x-16y+4)
Simplify within parentheses : -2 (-14x-4y-1)
Multiply by -2: 28x+8y+2
The points (-3, 1), (-1, 1), (0, -1),(-1,-3), (-3, -3), and (-4, -1) are vertices of a polygon. What type of polygon is formed by these
points?
hexagon
pentagon
octagon
quadrilateral
I need helpppppppppppppo
Answer:
25%, -2x + 3
Step-by-step explanation:
8/24 = 1/4 =.25 = .25%
plug in numbers
PLEASE MARK ME BRAINIEST
If a triangle’s original dimensions are 24 cm by 40 cm, which triangle would be an enlargement of the original by a scale factor of 2.2? A triangle with a base of 18.18 centimeters and a height of 10.9 centimeters. A triangle with a base of 42.2 centimeters and a height of 26.2 centimeters. A triangle with a base of 88 centimeters and a height of 52.8 centimeters. A triangle with a base of 200 centimeters and a height of 120 centimeters.
Answer: C) 52.8 and 88
Step-by-step explanation:
Simply multiply both dimensions(24 and 40) by 2.2 to get 52.8 and 88. Thus the answer is C.
Hope it helps <3
Answer:
Third Choice 52.8 cm by 88 cm
Step-by-step explanation:
Multiply each dimension by the scale factor.
24 cm * 2.2 = 52.8 cm
40 cm * 2.2 = 88 cm
Answer:
Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 10 more days to finish the job than the other worker?
Answer:
20 days
Step-by-step explanation:
t = time required by one worker to complete the job alone
(t+8) = time required by the other worker
So:
7.5/ t + 7.5/ (t + 8) = 1
Solve for t.
...
t = 12 days, the first guy working alone
The other worker would finish the job in 20 days.
Answer:
7 days and 17 days
Step-by-step explanation:
We can write an equation to solve this. An equation could be: ½x + ½y = 12. x - y = 10. Variables that solve this equation are x=7 and y=17. 7 + 17 = 24÷2 (since there are 2 workers) =12. Also, ½(7) + ½17 = 3.5 + 8.5 = 12. So, we know that the faster worker will take 7 days and the slower worker will take 17 days.
Hope this helps! Plz give me brainliest, it will help me achieve my next rank.
When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is %20, percent of its normal value. What is a grizzly bear's normal heart rate when not hibernating?
Answer:
50 beats/min
Step-by-step explanation:
normal heart rate = h
20% of h = 10
20/100 * h = 10
h = 10*5
= 50 beats/min
Hope this help!
What is the slope of the line that contains the point (-2, 7) and (2, 3)? A. -1 B. -4 C. 1 D. 4
Answer:
A. -1
Step-by-step explanation:
Slope = (y2 - y1) / (X2 - X1)
= (3 - 7) / (2 +2)
= - 4/ 4
= - 1
Hope this helps.. Good Luck!
Answer:
The slope is -1.
Step-by-step explanation:
Plug it into the formula.
Mary is making some shirts for her school's drama department. The fabric store has yards of the fabric she wants in stock. But this quantity of fabric can make only shirts. What length of fabric does Mary need to buy if she wants to sew 2 shirts?
Answer: she will need 4 yards of fabric to make 2 shirts
Answer:
I hope this helps
Step-by-step explanation:
2- una medalla pesa 15 gramos. si el 12% es de plata cuantos gramos de plata tiene?
Answer: la medalla tiene 1.8 gramos de plata.
Step-by-step explanation:
Hola, para responder esta pregunta debemos multiplicar el peso total de la medalla (15 gramos) por el porcentaje de plata en la medalla expresado en forma decimal (porcentaje dividido por 100)
Matemáticamente hablando:
15 x (12/100) = 15 x 0.12 =1.8 gramos
En conclusión, la medalla tiene 1.8 gramos de plata.
A student can get paid $12 per hour to run a three-hour economics tutoring session, or he can take a five-hour shift helping at his mom’s store that pays $15 per hour. What is the opportunity cost of working at the store? $12 $75 $36 $45 $60
Answer: C. $36
Step-by-step explanation:
Opportunity cost refers to the best economic alternative so in this case, it would be referring to the student tutoring for three hours. $12x3=$36
which solution can be used to fill in both blanks in the table
Answer:
(5, 2)
Step-by-step explanation:
As 8x = 40
x = 40÷8
x = 5
This is the first solution
Then 4x + 4y = 28
We know that x = 5 as above
So let's substitute it:
4x + 4y = 28
(4 × 5) + 4y = 28
20 + 4y = 28
Let's get the 20 to other side
20 - 20 + 4y = 28 - 20
4y = 8
y = 8 ÷ 4
y = 2
Hence we get these two solutions
(5,2)
:-)
1) sqrt x^+6x+9 if x≥3
2) sqrt x^2+6x+9 if −3≤x<3
3) sqrt x^2−6x+9 if x<−3
will give brainliest
Answer:
Step-by-step explanation:
first one:
[tex]x^{2}+6x+9={(x+3)}^{2} \\\sqrt{{(x+3)}^{2} }=x+3[/tex]
second one:
[tex]x^{2}+6x+9=(x+3)^{2} \\\sqrt{(x+3)^{2} } = x+3[/tex]
third one:
[tex]x^{2} -6x+9=(x-3)^{2} \\\sqrt{(x-3)^{2} } =|x-3| \ \ (because \ x<-3)[/tex]
A point a is graphed at (0,5). Complete the coordinates of a shape that can be rotated around the y axis to create a cylinder provide an explanation for your answer to receive full credit.
Answer:
The coordinates of the shape (rectangle), that can be rotated around the y axis to create a cylinder are;
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0)
Step-by-step explanation:
A shape that can be rotated around the y axis to create a cylinder is a rectangle ABCD
Given that the rectangle is to be rotated about the y-axis to form a cylinder, the vertical sides of the rectangle are to be parallel to the y-axis such that the x coordinates at the top and bottom will be equal in the opposite vertical segments as follows;
The complete coordinates of the rectangle, ABCD that can be rotated around the y axis to create a cylinder are therefore presented as follows
A = (0, 5)
B = (2, 5)
C = (2, 0)
D = (0, 0).
Evaluate the algebraic expression 5 + 9(x-8)2 for x = 9.
When x = 9,5+9(x-8)2 =
A potato was launched in the air using a potato gun. The function for the situation was h(t) = -16t^2 + 100t + 10, where t was the time in seconds and h(t) was the height in feet. 1. What was the lowest time that applies to the actual situation? 2. What was the greatest time that applies to the actual situation? please help.
Answer:
1. t = 0
2. t = 6.348
Step-by-step explanation:
1. Time cannot be negative.
2. The potato will not go through the ground.
Answer:
1. 0 seconds.
2. 6.35 seconds.
Step-by-step explanation:
There are two lowest times in the situation, and both occur when the potato is 0 feet from the ground.
0 = -16t^2 + 100t + 10
16t^2 - 100t - 10 = 0
8t^2 - 50t - 5 = 0
To solve for t, use the quadratic formula, where a = 8, b = -50, and c = -5.
[please ignore the A-hat; that is a typo]
[tex]\frac{--50±\sqrt{(-50)^2 - 4 * 8 * (-5)} }{2 * 8}[/tex]
= [tex]\frac{50 ± \sqrt{2500 + 160} }{16}[/tex]
= [tex]\frac{50±\sqrt{2660} }{16}[/tex]
= [tex]\frac{50±\sqrt{2^2 * 5 * 7 * 19} }{16}[/tex]
= [tex]\frac{50 ± 2\sqrt{665} }{16}[/tex]
= [tex]\frac{25±\sqrt{665} }{8}[/tex]
So, one value is...
[25 - sqrt(665)] / 8 = (25 - 25.78759392) / 8 = -0.7875939165 / 8 = -0.0984482396
BUT... the value is negative, and time cannot be negative. So, the LOWEST time that applied to the actual situation is 0 seconds.
The other value is...
[25 + sqrt(665)] / 8 = (25 + 25.78759392) / 8 = 50.78759392 / 8 = 6.34844924
Since the value is positive, it is valid. So, the GREATEST time that applies to the situation is about 6.35 seconds.
Hope this helps!
solve this systems of linear equations.separate the x- and y-values with a comma 18x+7y=-89 9x-9y=18
Answer:
Step-by-step explanation:
18x+7y=-89 equation1
9x-9y=18 equation2
multiplying equation 2 by 2
2(9x-9y=18) 18x-18y=36 equation 3
subtacting equation 1 and 3
18x-18x+7y+18y=-89-36
25y=125
y=5
putting the values of y in equation1
18x+7(5)=-89
18x+35=-89
18x=-89-35
18x=-124
x=-6.8
3m^2+4mn-5n^2+(-m^2)-6mn+2n^2+3mn-n^2+3m^2+mn+4n^2
Answer:
5m^2 + 2mn
Step-by-step explanation:
Answer:
[tex]5 {m}^{2} + 2mn[/tex]solution,
[tex]3 {m}^{2} + 4mn - 5 {n}^{2} + {( - m)}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ = 3 {m}^{2} + 4mn - 5 {n}^{2} - {m}^{2} - 6mn + 2 {n}^{2} + 3mn - {n}^{2} + 3 {m}^{2} + mn + 4 {n}^{2} \\ [/tex]
Collect like terms:
[tex]3 {m}^{2} - {m}^{2} + 3 {m}^{2} - 5 {n}^{2} + 2 {n}^{2} - {n}^{2} + 4 {n}^{2} + 4mn - 6mn + 3mn + mn \\ [/tex]
Simplify:
[tex] = 5 {m}^{2} - 4 {n}^{2} + 4 {n}^{2} + mn + mn \\ = 5 {m}^{2} + 2mn[/tex]
Hope this helps..
Good luck on your assignment..
The probability of seeing a zebra at the zoo is 1/8. How many animals cannot be in the zoo?
Answer:
D. 42
Step-by-step explanation:
From the given value of probability
If each number represent exactly one animal and the probability of seeing a zebra = 1/8
Which means out of all the animals, the ratio is only one zebra to 8 total animal including itself
Total animal present in the zoo= = 8
Total zebra = 1
So probability goes back to 1/8
So it means that the ratio we will be dealing with should be multiple of 8.
From the options given below
That is between A.8 B.16 C.32 and D.42.
We can see that all are multiple of 8 except 42
30 POINTS!!! Heather is collecting dimes. She saves one dime on the first day, two dimes on second day, and three dimes on third day. If this pattern continues, hom much money will heather have saved at the end of 30 days? Please Explain!
Answer:
hope dis help ;_;
Step-by-step explanation:
It's easy to see the manual solution: 1(.1) + 2(.1) + 3(.1) +......+ 30(.1).
But nobody wants to do that repetitive computation. If we factor out the (.1),
we see (.1) * (1+2+3+4...+30). Still somewhat repetitive, but not bad for just 30.
We really need a formula for big numbers though. The short cut for adding a series
of numbers is to find the average of the first and last numbers and multiply by how
many there are in the list:
(first + last)(the quantity of numbers) / 2 = (1 + 30)(30) / 2 = 465
465(.1) = $46.50
The money that Heather will save at the end of 30 days will be 465.
What is arithmetic progression?
Arithmetic progression is a sequence of numbers with a common difference. It is given by,
aₙ = a₁ + (n - 1)d
Where,
aₙ = the nᵗʰ term in the sequence
d = common difference
a₁ = first term
Now,
We have,
Heather saves one dime on the first day, two dimes on the second day, and three dimes on the third day and continues for 30 days.
So,
Money saved on the first day = 1
And,
Money save on 30 day = 30
So,
Using the sum of Arithmetic progression formula,
Sₙ = n/2 [ a + l ]
where,
n = 30
a = first term = 1
l = last term = 30
Now,
Sₙ = n/2 [ a + l ]
Sₙ = 30/2 [ 1 + 30]
Sₙ =15 × 31
Sₙ = 465
So, money saved at the end of 30 days = 465
Hence we can say that the money that Heather will save at the end of 30 days will be 465.
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