For using completing the square, first make sure that the coefficient of x² is 1, if it's not 1, then you need to make it 1, by dividing both sides of the equation by the coefficient whatever it is. So, jere the coefficient of x² is 1, so now we need to develop a whole square on both sides, for which,we will add the square of half of coefficient of x on both sides, so adding (-16/2)² = (-8)² = 64 on both sides, we will be having :
[tex]{:\implies \quad \sf x^{2}-16x+64=-21+64}[/tex]
Which suits the B) option
Hence, Option B) is correct
A fair coin is tossed 3 consecutive times. What is the probability that the result of the first toss is heads and the results of the next two are tails?
A: 1/8
B: 1/6
C: 1/2
D: 1/4
Answer: a). 1/8
Step-by-step explanation:
If the coin is fair, then the odds of getting heads or tails should be equal, 12.
Then 3 tosses of tails will have a chance of 12⋅12⋅12=18.
Use induction to prove that 2 divides n^2 n whenever n is a positive integer
Answer:
that's wrong
Step-by-step explanation:
for n = 1
n^(2n)=1²=1
and 2 doesnt devide 1
Two times an integer minus 95 is equal to that integer divided by 6.
This figure represents the base of an fish tank that is 6 inches high.
What is the volume of the fish tank?
390 in³
330 in³
270 in³
240 in³
Answer:
270
Step-by-step explanation:
5 x 7 x 6= 210
2 x 5 x 6= 60
210 + 60= 270
The required volume of the fish tank is 240 cubic inches. option D is correct.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
Here,
The requried volume of the figure is given as,
Volume = height [area of the plot]
Since the area of the plot is given as,
area = area of the left rectangle + area of the right triangle.
area = 5 × 7 + 1/2 × [12-7]×[5-3]
area = 35 + 5
area = 40 square inches.
Volume = 6 [40]
Volume = 240 in³
Thus, the required volume of the fish tank is 240 cubic inches. option D is correct.
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Round each decimal to the nearest whole number.
6.85
0.37
2.5
16.1
Answer:
7
0.37 is closest to 0 but probably 1
3
16
5-(6- 9x)=1-(4-10 ) please
[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]
Let's solve ~
[tex]\qquad \sf \dashrightarrow \:5 - ( 6 - 9x) = 1 - (4 - 10)[/tex]
[tex]\qquad \sf \dashrightarrow \:5 - 6 + 9x = 1 - 4 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 9x - 1 = 7[/tex]
[tex]\qquad \sf \dashrightarrow \:9x = 8[/tex]
[tex]\qquad \sf \dashrightarrow \:x = \dfrac{8}{9} [/tex]
please help me with the question in the picture
Answer:
(x - 5) / (x - 6) (don't put them in brackets, i'm doing this to signify that all of x - 5 is being divided by all of x - 6).
Step-by-step explanation:
x² + 2x - 35:
what multiplies into -35 and adds into 2?
7 and -5
so the top is now (x + 7)(x - 5)
x² + x - 42
what multiplies into -42 and adds into 1?
-6 and 7
so the bottom is now (x + 7)(x - 6)
the 2 lots of (x + 7) cancel and you are left with (x - 5) / (x - 6)
Answer:
[tex]\frac{x-5}{x-6}[/tex]
Step-by-step explanation:
Let's start with the numerator to factor it.
We need two numbers adding up to 2 and multiplying to -35. Easy to see the number are +7 and -5. You can then factor as [tex]x^2+2x-35=(x+7)(x-5)[/tex]
Denominator then. Same story, Two number adding to 1 and multiplying to -42. Numbers are +7 again and -6. Factors as before:
[tex]x^2+x-42=(x+7)(x-6)[/tex].
Now you can simplify
[tex]\frac{x^2+2x-35}{x^2+x-42} = \frac{(x+7)(x-5)}{(x+7)(x-6)}= \frac{x-5}{x-6}[/tex]
15-16) 4, 6, 9, 11, 14, 16, _____, 21, ______
Pattern:
Missing Terms:
17-18) 3, 6, 7, 14, 15, _____, ______
Pattern:
Missing Terms:
Answer:
first pattern: +2, +3 (repeated)
first missing terms: 19, 24
second pattern: *2, +1
second missing terms: 30, 31
Step-by-step explanation:
first pattern:
1. subtract the second term with the first, (6-4=2) then then third with the second (9-6=3).
2. repeat until to prove the pattern, +2, +3
3. apply pattern to missing term, (16+2=19) and (21+3=24)
second pattern:
1. since subtracting the terms does not give us a pattern, try dividing when possible, (6/3=2) and (14/7=2). then subtract the other terms (7-6=1) and (15-14=1)
2. find pattern from calculation, *2, +1.
3. apply pattern to missing terms, (15*2=30) and (30+1=31).
hope this helped! ♡
Which angle measures 30 degrees?
Answer:
angle e o f and c o e
Step-by-step explanation:
please mark me brainliest
Acute angle is the answer which is A
In a survey of some tourists, 80% of the tourists have been to India and 35% of the tourists have been to china.If all the tourists who have been to china also been to India and 260 have not been either of the countries, find the number of tourists who have been india but not china.
Answer:
585
Step-by-step explanation:
This sort of problem can be solved using a 2-way table that categorizes tourists by combination of destinations. Of the four possible combinations, one is ruled out (China, but not India). We can determine percentages and numbers for the combinations of interest using the given data.
__
80% have been to India, so 20% have not. All of those have also not been to China. Since tourists in that category number 260, there must be ...
260/20% = 1300 . . . tourists surveyed
Of the 80% who have been to India, 35% have been to China. That leaves 45% who have been to India, but not China. This number is ...
45% × 1300 = 585
The number of tourists who have been to India, but not China, is 585.
The figure1 can be transformed to create figure 2 using a single transformation which transformation can be used to accomplish this
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
What is transformation?Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, reflection and dilation.
The figure 1 can be transformed to create figure 2 by reflecting across the y axis.
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is x-1 taking away an x or adding an x?? im trying to find the perimeter of area tiles, and the perimeter is x + x + x + (x-1) + 1 + 1 + 1 so would it be 2x+3 or 4x + 3??
Answer:
4x + 2
Step-by-step explanation:
x - 1 is adding an x and subtracting a 1 ,so
x + x + x + (x - 1) + 1 + 1 + 1
= x + x + x + x - 1 + 1 + 1 + 1 ← collect like terms
= 4x + 2
Which of the following tables represents a proportional relationship?
A
y=4x
8/2=4. .and the rest too have the same value
a boy agreed to work one year for 1200 and a horse at the end of six months he quit and received 400 plus the horse what was the value of the horse
The cost of the horse given the amount received at the end of 6 months is 600
How to find the value of the horse?let
h = value of the horse6/12 × 1200 + 6h/12 = 400 + h
700 + 6h / 12 = 400 + h
700 - 400 = h - 6h/12
300 = 12h - 6h / 12
300 = 6h/12
cross product300 × 12 = 6h
3600 = 6h
h = 3600 / 6
h = 600
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can someone answer this please
Answers:
Reason 23: Given
Reason 24: Reflexive Property
Reason 25: AAS
========================================================
Explanation:
Reason 23 is given because we simply restate the initial facts word for word. Whatever is said at the top "given" is copy/pasted into the table below. This explains why the second reason is "given" as well.
Reason 24 is "Reflexive Property" because any segment is congruent to itself. Think "reflexive" as in "mirror reflection".
For reason 25, we will use the AAS (angle angle side) congruence theorem. This is because we have two pairs of congruent angles (statement 1 and statement 2) as well as a pair of congruent sides (statement 3). We don't use ASA because the side FY is not between the angles mentioned. The order is important. Check out the diagram below. Take note of the color coding for the angles.
Use the diagram below for Questions 1 and 2. It would be helpful to draw and label the diagram in your journal. Labeling the angle and arc measures will make the problems easier.
A local TV news station has their cameras positioned at Points A, X, and B for their newscasts.
Answer: 110 degrees
Step-by-step explanation:
A local TV news station has its cameras positioned at Points A, X, and B for their newscasts.
So the m<1 = 110°
Is the measure of arc and angle the same?
An arc of a circle is a section of the circumference of the circle between two radii. A central angle of a circle is an angle between two radii with the vertex at the center. The central angle of an arc is the central angle subtended by the arc. The measure of an arc is the measure of its central angle.
Please check the attached file for an explanation.
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A student has gotten the following grades on his tests. What is the minimum grade he must get on the last test in order to have an average of 787
83, 81, 70, 74
The minimum grade he must get on the last test in order to have an average of 78 is
Answer:
82
Step-by-step explanation:
The sum of his previous grades were 308. In order to get an average grade of 78, he needs to have a score of 78*5 or 390. His necessary grade minus his current grade is 390 - 308, which is 82. The minimum score the student needs to get on his test in order to have an average of 78 is 82
Answer:
82.
Step-by-step explanation:
The sum of the 5 tests must be 5*78 = 390 for the average to be 78.
So in the last test is grade must be 390 - (83+81+70+74)
= 390 - 308 = 82.
How many times more sunscreen is in Bottle B than in Bottle A? Provide
your answer using a decimal.
Using the volume of the rectangular prisms, it is found that there is 1.5 times more sunscreen in Bottle B than in Bottle A.
What is the volume of a rectangular prism?The volume of a rectangular prism of dimensions l, w and h is given by:
V = lwh.
For bottle A, we have that, in inches, l = 1, w = 2, h = 6, hence the volume in cubic inches is given by:
Va = 1 x 2 x 6 = 12 in³.
For bottle B, we have that, in inches, l = 1.5, w = 3, h = 4, hence the volume in cubic inches is given by:
Vb = 1.5 x 3 x 4 = 18 in³.
The ratio between the volumes is given by:
r = Vb/Va = 18/12 = 1.5.
Hence, there is 1.5 times more sunscreen in Bottle B than in Bottle A.
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solve . x -13 < -11
A.
x <-2
B.
x < 2
C.
x > 24
D.
x > -24
x - 13 < - 11
x < - 11 + 13
x < 2
so that you're coming purpose of each circle and find the radius and diameter below the circle
please help I need It now answer it correctly
Answer:
1.
The radius is given, so the radius is = 10
The radius is doubled to be a diameter, so (10 + 10) = 20 is your diameter
And to solve for circumference, your formula is;
C = 2πr
Where 'r' represents the radius, and 'π'(pi) is 22/7 or 3.14.
Plug in your values:-
C = 2πr
C = 2(3.14) x 10
C = 6.28 x 10
C = 62.8, so your circumference is 62.8.
2.
Your radius is half of your diameter, so,
D/2 = R
D = diameter
R = Radius
49/2 = 24.5 is your radius.
Your diameter is given, so the diameter is 49.
Use the formula we applied for circumference in our other problem;
C = 2πr
C = 2(3.14) x 24.5
C = 6.28 x 24.5
C = 153.86, so 153.86 is your circumference.
Evaluate each expression.
help please? requestig help to a smart person?
[tex] \frac{150}{10} = \frac{300}{20} = \frac{450}{30} = \frac{600}{40} = 15[/tex]
[tex]for \: x = 15y[/tex]
[tex]50x = 50(15) = 750.00[/tex]
Option B :)Check
Match the algebraic expression on the left to the correct value when evaluated on the right.
j+ş evaluate when= 1
350
n
7
evaluate when n = 35
to
up
5
70a: evaluate when a = 5
1.5
X-9; evaluate when x = 10.5
11
12
Answer:
I showed the answers in the pic above ^
Step-by-step explanation:
I hope this helps you!
Answer:
Step-by-step explanation:
How do you change a radical expression into an expression with radical exponents
Step-by-step explanation:
The answer is in the picture
what is 62.28 dived by 0.72 step buy step
Answer:
62.28divided by 0.75 = 83.04
Step-by-step explanation:
PEMDAS - Parentheses, Exponents, Multiplication, Division, Addition, Subtraction.
HURRY ASAP WILL GIVE BRAINLY
HELPPPPPPPPP URGENT :(((((((((
Answer:
Step-by-step explanation:
a and b are the parallel sides of the trapezoid.
In the graph, each unit = 2
a = 8 & b= 4
height = h = 8
[tex]\bf \boxed{ \text{Area of trapezoid = $\dfrac{(a+b)*h}{2}$} }[/tex]
[tex]\bf = \dfrac{(8+4)*8}{2}\\\\\\ = \dfrac{12*8}{2}\\\\\\ = 6*8\\\\ = 48 \ square \ units[/tex]
which trig ratio
determine which trig ratio to use to solve for x
Answer:
sin = opp / hyp
cos = Adj / hyp
tan = opp / adj
7. cos 41 = x / 86
8. sin x = 5/13
9. cos x = 9/37
10. tan 61 = x/28
11. sin 41 = x/65
12. tan x = 79/84
Step-by-step explanation:
Please help! will give brainlest!
Answer:
1
Step-by-step explanation:
[tex] \tan \bigg( \frac{5\pi}{4} \bigg) \\ \\ = \tan \bigg( \pi + \frac{\pi}{4} \bigg) \\ \\ = \tan \bigg(\frac{\pi}{4} \bigg) \\ \\ = 1[/tex]
[tex]\tan \left(\dfrac{5 \pi}4 \right)\\\\\\=\tan \left(2 \cdot \dfrac{\pi}2 + \dfrac \pi4\right)\\\\\\=\tan \left(\dfrac{\pi}4 \right)\\\\\\=1[/tex]
Mal spends 7 hours in school each day. Her lunch period is 1 hour long, and she spends a
total of 1 hour switching rooms between classes. The rest of her day is spent in 6 classes that
are all the same length, How long is each class?
Answe asap please
Answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
z = 5*(1/2)
z = 5/10
---
time switching classes:
w = 7/10
---
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (76/10 - 5/10 - 7/10)/6
x = (76 - 5 - 7)/(10*6)
x = (64)/(10*6)
x = (2*2*2*2*2*2)/(2*5*2*3)
x = (2*2*2*2)/(5*3)
x = 16/15
x = 1.0666666666
---
check:
y = 7 + 3/5
y = 7.6
z = 1/2
z = 0.5
w = 7/10
w = 0.7
y - 6x - z - w = 0
6x = y - z - w
x = (y - z - w)/6
x = (7.6 - 0.5 - 0.7)/6
x = 1.0666666666
---
answer:
each class is 1.07 hours
Step-by-step explanation: