Answers
Answer:
-2²
Explanation:
Doing -k² is the same thing as -(k²), so the answer will be negative. However, (-k)² will still be positive. -2² will equal -4.
Related Questions
which rule would best describes this pattern 8,4,10,6,12,8,14
Answers
Answer:
Subtract 4 and then add 6.
Step-by-step explanation:
8-4=4
4+6=10
10-4=6
6+6=12
12-4=8
8+6=14
The rule for this pattern can be subtracting 4, and then adding 6.
When [(a2bc4)(ab3c2)]2(b2c5)3 is simplified, the exponent of b is Answer
all the numbers are roots and powers
Answers
Answer:
14
Step-by-step explanation:
We want to simplify [tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3[/tex] so as to find the exponent of b.
Let us expand all brackets:
[tex][(a^2bc^4)(ab^3c^2)]^2 (b^2c^5)^3\\\\= [a^3b^4c^6]^2 (b^{2*3}c^{5*3})\\\\= [a^6b^8c^{12}] (b^{6}c^{15})\\\\= a^6b^{8+6}c^{12 + 15}\\\\= a^6b^{14}c^{27}[/tex]
The exponent of b is 14.
liz buys 17 identical tickets for £208.25 estimate the cost of one ticket
Answers
Answer:
£12.25
Step-by-step explanation:
Using unit rate:
[tex]\frac{\text{Price}}{\text{Tickets}}=\frac{208.25}{17}=\frac{208.25/17}{17/17}=\frac{\boxed{12.25}}{1}[/tex]
£12.25 should be the correct answer.
Work out m and c for the line: y = x + 4
Answers
Answer:
Step-by-step explanation:
What is the length, in units, of segment CD?
Answers
Answer:
The answet is C.
Step-by-step explanation:
First, you have to find the angle of ACB using Sine Rule, sinθ = opposite/hypotenuse :
[tex] \sin(θ ) = \frac{oppo.}{hypo.} [/tex]
[tex]let \: oppo. = 4 \\ let \: hypo. = 5[/tex]
[tex] \sin(θ) = \frac{4}{5} [/tex]
[tex]θ = {\sin( \frac{4}{5} ) }^{ - 1} [/tex]
[tex]θ = 53.1 \: (1d.p)[/tex]
Given that line AB is parallel to line CD so ∠C = 90°. Next, you have to find the angle of ACD :
[tex]ACD = 90 - 53.1 = 36.9[/tex]
Lastly, you can find the length of CD using Cosine rule, cosθ = adjacent/hypotenuse :
[tex] \cos(θ) = \frac{adj.}{hypo.} [/tex]
[tex]let \: θ = 36.9 \\ let \: adj. = 5 \\ let \: hypo. = CD[/tex]
[tex] \cos(36.9 ) = \frac{5}{CD} [/tex]
[tex]CD \cos(36.9) = 5[/tex]
[tex]CD = \frac{5}{ \cos(36.9) } [/tex]
[tex]CD = 6.25 units\: (3s.f)[/tex]
One fourth of a number is added to one fifth of the same number. If the result is 18, find the number
Answers
Answer:
[tex]40[/tex]
Step-by-step explanation:
Let [tex]x[/tex] be the number.
[tex]\frac{1}{4} x+\frac{1}{5} x=18[/tex]
[tex]\frac{9}{20} x=18[/tex]
[tex]x=18 \times \frac{20}{9}[/tex]
[tex]x=40[/tex]
If one fourth of a number is added to one fifth of the same number, and the result is 18, then the number = 40
Let the given number be represented by x
One-fourth of the number = x/4
One-fifth of the same number = x/5
One-fourth of the number is added to one fifth of the same number =
x/4 + x/5
The result is 18
This can be represented mathematically as:
x/4 + x/5 = 18
Simplifying the equation above
(5x + 4x)/20 = 18
Cross multiply
5x + 4x = 18(20)
9x = 360
x = 360/9
x = 40
The number = 40
Learn more on word problem here: https://brainly.com/question/21405634
Rectangle ABCD has vertices A(–6, –2), B(–3, –2), C(–3. –6), and D(–6, –6). The rectangle is translated so that the coordinates of the image are A’(–10, 1), B’(–7,1), C’(–7, –3), and D’(–10, –3). Which rule was used to translate the image? T–4, 3(x, y) T–4, 1(x, y) T4, –1(x, y) T4, –3(x, y)'
Answers
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
The coordinates of rectangle ABCD are;
A = (-6, -2)
B = (-3, -2)
C = (-3, -6)
D = (-6, -6)
The coordinates of the image are;
A' = (-10, 1)
B' = (-7, 1)
C' = (-7, -3)
D' = (-10, -3)
We note that for A and A', x - x' = -6 + 10 = 4 and y - y' = -2 - 1 = -3
For B and B', x - x' = -3 + 7 = 4 and y - y' = -2 - 1 = -3
For C and C', x - x' = -3 + 7 = 4 and y - y' = -6 + 3 = -3
For D and D', x - x' = -6 + 10 = 4 and y - y' = -6 + 3 = -3
Therefore, the transformation rule used to translate the image of rectangle ABCD is T₋₄, ₃ (x, y)
Answer:
T₋₄, ₃ (x, y)
Step-by-step explanation:
Applying the recursive rule aₙ; a ₙ ₋ ₁ + 3, write the first seven (7) terms of the sequence when a = 10.
Answers
Answer:
First seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
Step-by-step explanation:
Given recursive rule aₙ = a ₙ ₋ ₁ + 3
a1 = 10
[tex]x_{1} = 10\\x_{2} = x_{2-1} + 3= x_{1} + 3 = 10 + 3 = 13\\x_{3} = x_{3-1} + 3= x_{2} + 3 = 13 + 3 = 16\\x_{4} = x_{4-1} + 3= x_{3} + 3 = 16 + 3 = 19\\x_{5} = x_{5-1} + 3= x_{4} + 3 = 19 + 3 = 22\\x_{6} = x_{6-1} + 3= x_{5} + 3 = 22 + 3 = 25\\\x_{7} = x_{7-1} + 3= x_{6} + 3 = 25 + 3 = 28\\x_{8} = x_{8-1} + 3= x_{7} + 3 = 28 + 3 = 31[/tex]
Thus, first seven terms apart from 10 are
13, 16, 19, 22, 25, 28, 31
chameli has rupees 600 left after spending 75% of her money. how much did she have in the beginning
Answers
Answer:
Rs. 1050
Step-by-step explanation:
75/100×600= 7.5×60= 450+600= 1050
Hope this helps
Let f ( x ) = 5 x and g(x)=2x^2. (Need answer in less than 2 hours!)
Answers
Answer: (b) (g o g)(5)
Step-by-step explanation:
[tex]f(x)=\dfrac{5}{x}}\qquad g(x)=2x^2\\\\\\g(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad g(1)=2(1)^2=2\\\\\\g(g(5)):\ g(5)=2(5)^2=50\qquad g(50)=2(50)^2=\large\boxed{5000}\\\\\\f(f(5)):\ f(5)=\dfrac{5}{5}=1\qquad f(1)=\dfrac{5}{1}=1\\\\\\f(g(5)):\ g(5)=2(5)^2=50\qquad f(50)=\dfrac{5}{50}=\dfrac{1}{10}[/tex]
Charge q is one unit of distance away from the source charge s. Charge p is two times further away. The force exerted between S and q is ? The force exerted between S and p.
Answers
Charge q is 1 unit of distance away from the source charge S. Charge p is two times further away. The force exerted between S and q is _____ the force exerted between S and p
a. 1/2
b. 2 times
c. 1/4
d. 4 times
Answer:
4 times
Step-by-step explanation:
Given the following :
Distance between q and S (r) = 1 unit
Distance between P and S (r) = 2 × 1 unit = 2
According to coliumbs law:
F = Ke(q1q2) /r^2
Where F = electrostatic force, Ke = coloumbs constant
q1,q2 = charges, r = distance between two charges
For q and S :
Fsq = Ke(q1q2) / 1^2
Fsq = Ke(q1q2) - - - - - equation 1
For P and S :
Fsp = Ke(q1q2) / 2^2
Fsp = Ke(q1q2) / 4 - - - - - equation 2
Dibiding equation 1 by equation 2
Fsq/Fsp = Ke(q1q2) / Ke(q1q2)/4
Fsq / Fsp = Ke(q1q2) × 4 / Ke(q1q2)
Fsq / Fsp = 4 / 1
Using cross multiplication
Therefore, Fsq = 4 × Fsp
Please please help guys
Answers
Answer:
234.85
Step-by-step explanation:
This was easy!!!
(The gardener comes 4 times a month... so divide 85.40 by 4 and you will get 21.35. Each time he comes, he gets 21.35 and by the end of the month, he has 85.40. It says he already came 11 times. So 4 + 4 = 8 + another 4 that equals 12. He came only two months and a few weeks. This means multiply 85.40 by 2 so you would get 170.8. It said he came 11 times so substract 11 from 8 and you would get 3. So multiply 21.35 by 3 and get a total of 64.05. Add 170.8 and 64.05 to get 234.85!!! The answer is 234.85 or C!!!!
Answer: C. $234.85
Explanation: $85.40 (how much Katrina pays each time the gardener comes) * 4 (the number of times the gardener comes each month) = $234.85 (how much the gardener made)
if f(x)= x/2-3 and g(x)=4x^2+x-4 find (f+g) (x)
Answers
Answer:
(f+g) (x)=4x^2+3x/2-7
Step-by-step explanation:
f(x)= x/2-3 and g(x)=4x^2+x-4
(f+g) (x)=?
(f+g) (x)=f(x)+g(x)
(f+g) (x)=x/2-3+4x^2+x-4
combining like terms
(f+g) (x)=4x^2+x/2+x-3-4
(f+g) (x)=4x^2+3x/2-7
hope it helps. Brainliest please
Using the quadratic formula, which of the following are the zeros of the quadratic equation below
Answers
Answer:
the answer for this question is D
Answer:
Correct answer is actually B
Step-by-step explanation:
I used someone’s answer with their work shown for my test
A wedding ring costs £13000. Work out the price after a 11% price increase.
Answers
Answer:
£ 14430
Step-by-step explanation:
Costing price = £13000
Increase = 11% of 13000
=> 11/100 × 13000
=> 11 × 130
=> £ 1430
Increased Price = 13,000+1430
=> £ 14430
Select the polynomial that is a perfect square trinomial. A. 49x^2 - 8x + 16 B. 4a^2 - 10a + 25 C. 25b^2 - 5b + 10 D. 16x^2 - 8x + 1
Answers
Answer:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Step-by-step explanation:
Take a look at B: 4a^2 - 10 a + 25. The square roots of 4a^2 and 25 are 2a and 5 respectively. Does (2a - 5)^2 come out to 4a^2 - 10a + 25? No.
Take a look at C: 25b^2 - 5b + 10 We know this is not a perfect square trinomial because 10 is not a square.
D: 16x^2 - 8x + 1: both 16x^2 and 1 are perfect squares, so we have:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
please explain while solving
Answers
Answer:
48Step-by-step explanation:
In the picture above
I hope it helps :)
Help a chick out only if u know what u doing
Answers
Answer:
for 12:00 1 for 1:00 2
Step-by-step explanation:
this is a pattern where each number multiplies itself by 2 making 12:00 and 1:00 pm 1 and 2
edit: is it right? if it is, may I have brainliest?
You don’t have to explain this just tell me the tight answer
Answers
Answer:
The triangles are similar by the AA similarity postulate
Step-by-step explanation:
The only thing we know is that the three angles are the same
70+30 +80 = 180 so the missing angle in each triangle is 80 in the first and 70 in the second
The triangles are similar by the AA similarity postulate
Find the value of each expression -7+12+15
Answers
Answer:
20
Step-by-step explanation:
oblems
Congruency Pront
Name: Jarol
Comments
Statements
AC bisects BCD
Reasons
Given
Given
DCIAD
Given
BC AB
Given:
AC bisects BCD
DC I AD
BC AB
Right angles are =
Prove:
AC AC
BC DC
Bc z oo
Answers
Answer:
[tex]\overline{BC} \cong \overline{DC}[/tex] because corresponding parts of congruent triangles ΔACD and ΔACB are Congruent
Step-by-step explanation:
Statements, Reason
[tex]\overline{AC}[/tex] bisects ∠BCD, Given
[tex]\overline{DC} \perp \overline{AD}[/tex] Given
∠CDA ≅ ∠CBA Right angles are ≅
[tex]\overline{AC} \cong \overline{AC}[/tex] Reflexive property
ΔACD ≅ ΔACB Hypotenuse Leg (HL) congrurency
[tex]\overline{BC} \cong \overline{DC}[/tex] CPCTC
Where:
CPCTC = Corresponding parts of Congruent Triangles are Congruent
⊥ = Perpendicular to
≅ = Congruent
∠ = Angle
Δ = Triangle.
30 POINTS! and brainliest if you have the best answer
1. How can you set up a spinner so that an event is likely?
2. How can you set up a spinner so that an event is unlikely?
3. How can you set up a spinner so that an event is impossible?
4. How can you set up a spinner so that an event is certain?
Answers
Answer:
hey guys whats up!
i think your answer is
1. you can spin the spinner a certain way and it is more likely to land on the answer you want or if it has anything to do with colors then make the color you want to take up more space.
2.you can as the other question above states do the opposite.
3.to make an event impossible you can do this:if it is a color leave it out,this means that it will not land on it so it is impossible.
4.to make an event certain you can do the opposite of answer 3
Step-by-step explanation:
hope this helps
thx
pls put brainliest
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, … starts with two 1s, and each term afterward is the sum of its two predecessors. Which one of the ten digits is the last to appear in the ones position of a number in the Fibonacci sequence?
Answers
Answer:
6
Step-by-step explanation:
Note that any digits other than the units digit will not affect the answer. So to make computation quicker, we can just look at the Fibonacci sequence in $:
$1,1,2,3,5,8,3,1,4,5,9,4,3,7,0,7,7,4,1,5,6,....$
The last digit to appear in the units position of a number in the Fibonacci sequence is $6.
The last to appear in the ones position of a number in the Fibonacci sequence is [tex]6[/tex].
The Fibonacci sequence [tex]1, 1, 2, 3, 5, 8, 13, 21[/tex], … starts with two 1s, and each term afterward is the sum of its two predecessors.
The next terms are:
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765, 10946.
Here, it can be seen that [tex]6[/tex] is the last to appear in the ones position of a number in the Fibonacci sequence.
Learn more here:
https://brainly.com/question/13247630?referrer=searchResults
Arya spins both spinners. What is the probability that Arya gets blue on both spinners? Give your answer as a fraction.
Answers
Answer:
2/16
Step-by-step explanation:
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8=16 and the blue one has 1 and they are 2 we get 1+1=2.
probability=desired chances/total chances
=2/16
The probability that Arya gets blue on both spinners is 2/16.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
Since the total number on a spinner is 8 and there are 2 of them we get 8 + 8 = 16 and the blue one has 1 .
we get 1 + 1 = 2.
The probability that Arya gets blue on both spinners
= desired chances/total chances
=2/16
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
This is my last one please help you need to explain it just tell me the right answer thank you
Answers
Answer:
i might be 25
Step-by-step explanation:
Find the area of this irregular figure. All angles are right angles. 128 in2 296 in2 256 in2 80 in2
Answers
Answer:
256in²
Step-by-step explanation:
Just add the area the two Rectangals = A=128*2 = 256in² or calclute the whole and deduct the 2 missing sqares 16
384-128=256in²
HELPPPPPPPPPPP PLZZZZZZZZZZZZZZZZZZZZ!!!!!!!!!!!!
Answers
Answer:
58
Step-by-step explanation:
First, find the interior angle adjacent to the angle GFD.
180 - (34+24) = 180 - 58 = 122
Now, the exterior angle = 180 - 122 = 58
hope this helps
Harun and Anis have m boys and n girls. How many children do they have?
Answers
Explanation: They have an unknown amount of children.
Hi. Can somebody help me with this problem
Answers
Answer:
draw a table and calculate the x axis and find the x intercept
Step-by-step explanation:
Answer:
The correct answer is ..
(-1,-2)
Step-by-step explanation:
First, you reflect over the x-axis and get (1,-2) then reflect over the y- axis and the point will be on (-1,-2)
Hope this helps!
- Quinn <3
Please Hurry!!!! A Newly-planted tree needs to be staked with three wires. Each wire is attached to the trunk 3 ft above the ground, and then anchored to the ground 4ft from the base of the tree. How much wire is needed for the trees
Answers
Answer:
5 ft, I think