Answer:
[tex]\Large \boxed{(5^{-2})^{-3}}[/tex]
Step-by-step explanation:
Applying the law of exponents : [tex](a^b)^c=a^{bc}[/tex]
[tex](5^4)^2 = 5^{4 \times 2} = 5^{8}[/tex]
[tex](5^{-2})^{-3}=5^{-2 \times -3}=5^6[/tex]
[tex](5^1)^5 =5^{1 \times 5}=5^5[/tex]
Answer:
[tex]\huge\boxed{Option \ B}[/tex]
Step-by-step explanation:
[tex]5^6[/tex] is equivalent to
=> [tex](5^4)^2 = 5^{4*2} = 5^ 8[/tex]
=> [tex](5^{-2})^{-3} = 5^{-2*-3} = 5^6[/tex] ← Correct
=> [tex](5^1)^5 = 5^{1*5} = 5^5[/tex]
PLEASE HELP ASAP! NO SCAMS!
Answer:
Step-by-step explanation:
Perpendicular means that the slopes of the "old" line and the "new" line are opposite reciprocals; bisector means that the "new" line goes directly through the center of the "old" line. This perpendicular bisector, then, will go directly through the center of the "old" line, cutting it directly in half and leaving in its wake a 90 degree angle. To write this equation, then, of the perpendicular bisector, we need the slope of the old line and the midpoint of the old line. Let's work on the midpoint first:
[tex]M=(\frac{3+6}{2},\frac{5-7}{2})\\M=(\frac{9}{2},\frac{-2}{2})\\M=(\frac{9}{2},-1)[/tex] So the "new" line will go through this point.
Onto the slope:
[tex]m=\frac{-7-5}{6-3}\\m=\frac{-12}{3}[/tex]so the slope is
m = -4. That means that the perpendicular slope is
[tex]m=\frac{1}{4}[/tex] Now we're ready to write the equation:
[tex]y-5=\frac{1}{4}(x-3)[/tex] and
[tex]y-5=\frac{1}{4}x-\frac{3}{4}\\y=\frac{1}{4}x-\frac{3}{4}+\frac{20}{4}[/tex] and finally,
[tex]y=\frac{1}{4}x+\frac{17}{4}[/tex]
Answer:
Step-by-step explanation:
A(3, 5) ; B(6,-7)
Let's find the slope of AB = [tex]\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]=\dfrac{-7-5}{6-3}\\\\=\dfrac{-12}{3}\\\\= - 4[/tex]
m = -4
Slope of the perpendicular line to AB = -1/m = [tex]\dfrac{-1}{-4}=\dfrac{1}{4}[/tex]
The perpendicular line of AB is bisector also. So, it goes through the midpoint of AB
Midpoint of AB = [tex](\dfrac{x_{1}+x_{2}}{2}, \dfrac{y_{2}-y_{1}}{2})[/tex]
[tex]=(\dfrac{3+6}{2},\dfrac{5+(-7)}{2})\\\\=(\dfrac{9}{2},\dfrac{-2}{2})\\\\=(\dfrac{9}{2},-1)[/tex]
Equation of require perpendicular line: y - y1 = m (x -x1)
[tex](x_{1},y_{1})= (\dfrac{9}{2},-1)\\ \\m =\dfrac{1}{4}\\\\y-[-1]=\dfrac{1}{4}(x-\dfrac{9}{2})\\\\y+1=\dfrac{1}{4}x-\dfrac{1}{4}*\dfrac{9}{2}\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-1\\\\y=\dfrac{1}{4}x-\dfrac{9}{8}-\dfrac{8}{8}\\\\y=\dfrac{1}{4}x-\dfrac{17}{8}[/tex]
What is the the product of (-1 - 3i) and it’s conjugate?
Answer:
10
Step-by-step explanation:
(-1 - 3i)(-1 + 3i) = 1 - 3i + 3i -9i²
1 - 9i²; i² = -1, therefore 1 - 9(-1) = 1 + 9 = 10
A triangular tent has a perimeter of 29 meters. Side a is 3 meters shorter than twice side b and side c is 4 meters longer than side b, Find the length of side b.
A) 11 meters
B) 14 meters
C) 9 meters
D) 7 meters
Answer:
D) 7 meters
Step-by-step explanation:
So I would start this off by plugging in the variables into side B. So if we were to plug 7 into B there would be 22 meters left of the perimeter. Therefore meaning 22 between A and C. Now A is 3 meters shorter than TWICE of B. So 7 times 2 is 14 and 14 minus 3 is 11. now we have 11 and 7 which equals 18. 29 minus 18 giving us 11 left. 11 is C. Now it says c is 4 meters longer than B so it 7 plus 4 is 11. And everything adds up. HOPE THIS HELPS.
Answer:
Side b=7 meters
Step-by-step explanation:
Given:
Perimeter of triangle=29m
Side a=2b-3
Side b=b
Side c=4+b
To find:
Side b
Solution:
P of triangle=a+b+c
29=2b-3+b+4+b
29=2b+b+b+4-3
29=4b+1
29-1=4b
b=28/4
b=7m
I hope my answer is right.
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used. Match each value to the correct expression.
The answer is shown below:
What is expression?An expression in math is a sentence with a minimum of two numbers/variables and at least one math operation in it. Let us understand how to write expressions. A number is 6 more than half the other number, and the other number is x. This statement is written as x/2 + 6 in a mathematical expression.
1+5.2 + (1+3)²
=1+10 + 16
=27
0.25*4³-1
=0.25*64-1
=16-1
=15
4+8(1/4+2)
=4+8(9/4)
=4+2*9
=4+18
=22
Learn more about expression here:
https://brainly.com/question/13947055
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The roots of the quadratic equation x^2/a^2-b^2=a+b/a-b are
I also need to know this one pretty soon pleaseee
Answer:
128
Step-by-step explanation:
a coin is tossed and a number cube is rolled. What is the probability of tossing heads and rolling a 3 or a 5
Answer: 1/6
Step-by-step explanation:
Probability of getting heads = 50/100
= 1/2
Probability of tossing a 3 or 5 = 2/6
= 1/3
Now probability of getting both = 1/2×1/3
= 1/6
Please click thanks and mark brainliest if you like
Answer:
1/6
Step-by-step explanation:
There are two possible outcomes for tossing a coin
heads and tails
P(heads)= heads/ total = 1/2
Rolling a die has 6 possible outcomes 1,2,3,4,5,6
P*3 or 5) = 3 or 5 /total = 2/6 = 1/3
Multiply the probability of independent events together
1/2 * 1/3 = 1/6
It costs $0.0015 to leave a lightbulb on for an hour. How much would it cost
to have a lightbulb on for a month? (Helpful conversions: There are 24 hours
in a day, and there are 30 days in a month).
An angle measures 51.4° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
70.7 deg, 19.3 deg
Step-by-step explanation:
The sum of the measures of complementary angles is 90 deg.
One angle measures x.
The other angles measures 51.4 deg less than x, or x - 51.4.
The sum of their measures equals 90.
x + x - 51.4 = 90
2x - 51.4 = 90
2x = 141.4
x = 70.7
x - 51.4 = 70.7 - 51.4 = 19.3
Answer: 70.7 deg, 19.3 deg
What is the midpoint of a line segment connecting the points (−4,6) and (8,2) Need answer fast
Answer:
-12 & -18
Step-by-step explanation:
Answer:
Step-by-step explanation:
6
1 point
Label the steps in order to solve the following equation:
-11 - 5z = 6 (5z + 4)
&
1
-11 - 5z = 30z + 24
2
-35 = 352
3
-11 = 352 + 24
4
-1=2
Answer:
swap the middle two steps to put them in order
Step-by-step explanation:
The steps in order would be ...
-11 -5z = 30z +24 . . . . . eliminate parentheses-11 = 35z +24 . . . . . . . . add 5z-35 = 35z . . . . . . . . . . . . subtract 24-1 = z . . . . . . . . . . . . . . . . divide by 2A stone is thrown downward straightly its speed at speed of 20 second what and it reaches the ground at 40 metre second what will be the height of building
Answer:
[tex]\Huge \boxed{\mathrm{61.22 \ m}}[/tex]
Step-by-step explanation:
A stone is thrown downward straightly with the velocity of 20 m/s and it reaches the ground at the velocity of 40 m/s. What will be the height of building? (Question)
The initial velocity ⇒ 20 m/s
The final velocity ⇒ 40 m/s
We can apply a formula to solve for the height of the building.
[tex](V_f)2 - (V_i)^2 =2gh[/tex]
[tex]V_f = \sf final \ velocity \ (m/s)[/tex]
[tex]V_i = \sf initial \ velocity \ (m /s)[/tex]
[tex]g = \sf acceleration \ due \ to \ gravity \ (m/s^2 )[/tex]
[tex]h = \sf height \ (m)[/tex]
Plugging in the values.
Acceleration due to gravity is 9.8 m/s².
[tex](40)^2 - (20)^2 =2(9.8)h[/tex]
Solve for [tex]h[/tex].
[tex]1600 - 400 =19.6h[/tex]
[tex]1200 =19.6h[/tex]
[tex]\displaystyle h=\frac{1200}{19.6}[/tex]
[tex]h= 61.22449[/tex]
The height of the building is 61.22 meters.
Find the missing probability. P(A)=1120,P(B|A)=1320,P(A∩B)=?
Explanation:
Assuming you meant to say
P(A) = 11/20
P(B|A) = 13/20
then,
P(A∩B) = P(A)*P(B|A)
P(A∩B) = (11/20)*(13/20)
P(A∩B) = (11*13)/(20*20)
P(A∩B) = 143/400
A box contain 12 balls in which 4 are white 3blue and 5 are red.3 balls are drawn at random from the box. Find the chance that all three balls are of different colour
Answer:
white: 1/3, blue: 1/4, red: 5/12
Step-by-step explanation:
Take the amount of balls each color has and divide by 12.
White:
4/12 = 1/3
Blue:
3/12 = 1/4
Red:
5/12 (can't simplify)
Answer:
3/44 or 0.068
Step-by-step explanation:
(3/12 × 2/11 × 1/10)+(5/12 × 4/11 × 3/10)+(4/12 × 3/11 × 2/10)
=3/44
For what values of x will the square and the rectangle is shown below have the
same perimeter?
Perimeter of square = Perimeter of rectangle
=> 4(side) = 2(length + width)
=> 4(x+5) = 2[(x+3)+(x+7)]
=> 4(x+5) = 2[x+3+x+7]
=> 4x + 20 = 2x + 6 + 2x + 14
=> 4x + 20 = 4x + 20
=> 4x - 4x + 20 = 20
=> 20 = 20
So, any real number is the solution of this equation. It means that for every real number as x, the perimeter of the square will be same as the perimeter of the rectangle.
can someone pls help me on number 4
Answer:
Step-by-step explanation:
Do this by converting the numbers to decimals
9 1/4 inches / 12 inches / foot = .770833 feet to 6 decimal places.
9.770833 feet is the length of the given board.
11.25 inches = 11.25 / 12 = 0.9375 feet
So the amount of board used is 9.770833/0.9375 = 10. 42222 feet used in cutting up the board.
Therefore there is 10.42222187 board cut up. The decimal is the remainder.
0.42222187 * 12 = 5.066 inches or rounded to 5 inches.
Please help me! This is Algerbra 1
Answer:
A. x > -1 or x < -1
Step-by-step explanation:
5x - 29 > -34 or 2x + 31 < 29
Add 29 to both sides. Subtract 31 from both sides.
5x > -5 or 2x < -2
Divide both sides by 5. Divide both sides by 2.
x > -1 or x < -1
Answer: x > -1 or x < -1
help me find x please
Answer:
[tex]3\sqrt{3}[/tex]
[tex]\left(\frac{\left(6\cdot \:\:\:sin\left(30\right)\right)}{sin\left(90\right)}\right)^2+x^2=36[/tex]
Step-by-step explanation:
The Line segments are translated 2 units to the left to form A’B’ and C’D’. Which statement describes A’B’ and C’D’?
Answer:
Line segments A'B' and C'D' do not intersect and are the same distance apart as AB and CD.
Step-by-step explanation:
Dubai Mall and Deira City Centre are equidistant from Wafi Mall. Considering Wafi Mall as origin, the position of Deira City Centre is ( 0,7). If the ordinate of the position of Dubai Mall is zero, then write the coordinates of the position of Dubai Mall.
they're equidistant, so distance should be equal.
distance of City centre is [tex]\sqrt{0^2+7^2}=7[/tex]
distance of mall is simply $x$. (ordinate is 0, means the point is on x axis , and that's the distance from origin)
thus, $$x=7$$
Jak policzyc: [tex](2x^2)^2[/tex] ?
Solve the simultaneous equations
! ! 5x+3y=41
! ! 2x+3y=20
Answer:
1) x= 7 and y =2
Step-by-step explanation:
mark me as brainliest please
Answer:
x =7
y =2
eqn 1 - eqn2
5x-2x=3x
3y-3y=0
41-20=21
3x=21
x=7
in eqn 1;
5×7)+3y=41
35+3y=41
3y=6
y=2
If C.P. = Rs. 480, S.P. =Rs.528 find profit and profit percent
In this question first you should find profit amount by using formula and you should use profit amount in profit percentage formula then you should calculate it
44 pounds is equivalent to_____^a0 kilograms.
Answer:
19.504
Step-by-step explanation:
divide the mass value by 2.205
Will Mark Brainnlest Please help me
Answer:
l = 2, m = - 1, n = - 6
Step-by-step explanation:
A scalar matrix has its diagonal elements equal and all other elements zero, so
2l - 4 = 0 ( add 4 to both sides )
2l = 4 ( divide both sides by 2 )
l = 2
---------------------------------------
3l + n = 0
3(2) + n = 0
6 + n = 0 ( subtract 6 from both sides )
n = - 6
--------------------------------------
3m - n = 3
3m - (- 6) = 3
3m + 6 = 3 ( subtract 6 from both sides )
3m = - 3 ( divide both sides by m )
m = - 1
Which term can be used in the blank of 36x3−22x2−__ so the greatest common factor of the resulting polynomial is 2x? Select two options.
2
4xy
12x
24
44y
Answer:
[tex]4xy[/tex][tex]12x[/tex]-------------
[tex]36x^3,\:22x^2,\:4xy[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x\\[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 4xy
[tex]2\cdot \:2\cdot \:x\cdot \:y[/tex]Common factor
[tex]2x[/tex]---------------------
[tex]36x^3-22x^2-12x[/tex]
Factor 36x³
[tex]2\cdot \:2\cdot \:3\cdot \:3\cdot \:x\cdot \:x\cdot \:x[/tex]Factor 22x²
[tex]11\cdot \:2\cdot \:x\cdot \:x[/tex]Factor 12x
[tex]2\cdot \:2\cdot \:3\cdot \:x[/tex]Common factor
[tex]2x[/tex]OAmalOHopeO
choose the true statement.
-2 < -3
-2 > -3
-2 = -3
Answer:
-2> -3
Step-by-step explanation:
when in the minuses, the lower the number, the bigger it really is!
Answer:
-2> -3
Step-by-step explanation:
HOPE THIS HELPS HAVE A GREAT DAY :) :} :) :}a shopkeeper allows 10% discount on his goods to make 20% profit, if he sold a watch for Rs.10170 with 13% vat, by what percent is the discount to be increased to make only 12% profit
Answer:
16% of MP
Step-by-step explanation:
Key concepts to learn :
Discount is always applied on marked price.
Profit = SP - CP
VAT is applied on Selling Price
SP = 10170/113 x 100 = 9000
If profit is 20% then :
CP = 9000/120 x 100 = 7500
MP = 9000/90 x 100 = 10000
For 12% profit, SP = 7500 x 112/100 = 8400
=> SP = 8400/10000 x 100 = 84% of MP
=> Discount = 16% of MP
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Answer:
5/6 pounds
Step-by-step explanation:
A group of people buys 5 pounds of corn meal to divide equally among 6 families write a fraction or mixed number that shows how many pounds of corn meal each family gets'.
Given the following :
Amount of corn meal purchased = 5 pounds
Number of people to share = 6 families
Assume, it is divided equally among them;
Then; each family gets ;
(Pounds of corn meal purchased/number of families) ;
5 / 6 pounds of corn meal will be distributed to each family.
When the factors of a trinomial are (x-p) and (x+q) then the constant teen of the trinomial is
(x-p)(x-q)
y(x-q) .... let y = x-p
yx - yq ... distribute
x(y) - q(y)
x(x-p) - q(x-p) ... replace y with x-p
x^2 - px - qx + pq .... distribute
x^2 + (-p-q)x + pq
The last expression is in the form ax^2+bx+c with a = 1, b = -p-q and c = pq
The constant term is the term without any variable x attached to it (either x or x^2), so the constant term is pq