Answer:
[tex]\frac{1}{5^6}[/tex]
Step-by-step explanation:
Given the expression (5⁻²)⁵ ₓ 5⁴
According to indices
(a^m)^n = a^{mn}
(5⁻²)⁵ = (5⁻¹⁰)
(5⁻²)⁵ ₓ 5⁴
= 5⁻¹⁰ ₓ 5⁴
= 5⁻¹⁰⁺⁴
= 5⁻⁶
Hence the equivalent expression is [tex]\frac{1}{5^6}[/tex]
Witch fraction is equivalent to 33/200
Answer:
16.5/100
Step-by-step explanation:
An equivalent fraction to 33/200 could be 66/400.
What is the slope of the line?
Answer:
3/1
Step-by-step explanation:
is the slop of this graph
Please answer correctly
QRN= 65º
hope this helps!!
If a single fair die is rolled, find the probability of rolling a 3 given that the number is prime.
Answer:
1/3 chance
Step-by-step explanation:
2,3, and 5 are prime
1 is NOT a prime number
What is true about the completely simplified sum of the polynomials 3x^2y^2-2xy^5 and -3x^2y^2 + 3x^2y^2 + 3x^4y?
Given:
The polynomials are:
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
To find:
The completely simplified sum of the polynomials.
Solution:
We have,
[tex]3x^2y^2-2xy^5[/tex]
[tex]-3x^2y^2+3x^2y^2+3x^4y[/tex]
The sum of given polynomials is:
[tex]Sum=3x^2y^2-2xy^5-3x^2y^2+3x^2y^2+3x^4y[/tex]
[tex]Sum=-2xy^5+3x^4y+3x^2y^2[/tex]
Therefore, the sum of the given polynomials is [tex]-2xy^5+3x^4y+3x^2y^2[/tex]. It is a polynomial with degree 6 and leading coefficient -2.
Find the fourth-degree polynomial function with zeros 4, -4, 4i , and -4i . Write the function in factored form.
Given:
A fourth-degree polynomial function has zeros 4, -4, 4i , and -4i .
To find:
The fourth-degree polynomial function in factored form.
Solution:
The factor for of nth degree polynomial is:
[tex]P(x)=(x-a_1)(x-a_2)...(x-a_n)[/tex]
Where, [tex]a_1,a_2,...,a_n[/tex] are n zeros of the polynomial.
It is given that a fourth-degree polynomial function has zeros 4, -4, 4i , and -4i. So, the factor form of given polynomial is:
[tex]P(x)=(x-4)(x-(-4))(x-4i)(x-(-4i))[/tex]
[tex]P(x)=(x-4)(x+4)(x-4i)(x+4i)[/tex]
[tex]P(x)=(x-4)(x+4)(x^2-(4i)^2)[/tex] [tex][\because a^2-b^2=(a-b)(a+b)][/tex]
On further simplification, we get
[tex]P(x)=(x-4)(x+4)(x^2-4^2i^2)[/tex]
[tex]P(x)=(x-4)(x+4)(x^2+16)[/tex] [tex][\because i^2=-1][/tex]
Therefore, the required fourth degree polynomial is [tex]P(x)=(x-4)(x+4)(x^2+16)[/tex].
The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)
Polynomial
Polynomial is an expression that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Polynomials can be classified based on degree as linear, quadratic, cubic, fourth degree.
Let f(x) represent the function with zeros 4, -4, 4i , and -4i. Hence:
x = 4; x = -4; x = 4i; x = -4i
x - 4 = 0; x + 4 = 0; x - 4i = 0; x + 4i = 0
f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)
The fourth degree polynomial is given by f(x) = (x - 4)(x + 4)(x + 4i)(x - 4i)
Find out more on polynomial at: https://brainly.com/question/2833285
I need Help with this question. The screenshot is attached below. Help PLS
Answer:
6
Step-by-step explanation:
Place these numbers in order from least to greatest: -4.5, 6, 5.7, 0, -2, -14
Answer:
-14, -4.5, -2, 0, 5.7, 6
Step-by-step explanation:
Someone help please!!! I don't understand. (20 points)
-4(m + 18) = 8 answer
Answer:
m = -20
Step-by-step explanation:
first distribute:
-4(m + 18) = 8
-4m - 72 = 8
Now add 72 to both sides to get m by itself
-4m = 80
and divide by -4 on both sides
m = -20
Hope this helped! :)
Answer: m = -20
Step-by-step explanation:
−4(m + 18) = 8
Step 1: Simplify both sides of the equation.
−4(m + 18) = 8
(−4)(m) + (−4)(18) = 8 (Distribute)
−4m + −72 = 8
−4m − 72 = 8
Step 2: Add 72 to both sides.
−4m − 72 + 72 = 8 + 72
−4m = 80
Step 3: Divide both sides by -4.
−4m / − 4 = 80 / −4
m = −20
The number of bacteria is doubled every six hours. Estimate the number of bacteria present after 48 hours if initially there were 12 million bacteria present.
Answer:
96million
Step-by-step explanation:
48/6=8
12 000 000 * 8 = 96 000 000
=96 million
Answer:
96 million
Step-by-step explanation:
48/6= 8
8*12 million = 96 million
POSSIBLE POINTS: 1.43
Cell phone Plan A costs $70 per month and comes with a free $500 phone. Cell phone Plan B costs $50 per month but does not
come with a phone. If you buy the $500 phone and choose Plan B, how many months is it until your cost is the same as Plan A's?
Answer:
it will take 25 months until the cost is the same.
500 / 20 = 25
Step-by-step explanation:
Please help!!
Find the radius
Answer:
The radius is 20 units.
Step-by-step explanation:
(r)^2 + 21^2 = (r+9)^2
r^2 + 441 = r^2 + 18r + 81
360 - 18r = 0
360 = 18r
20 = r
What is the multiplication sentence for the following diagram?
Answer:
welllllllll thats is the confusion diagram
5(y + 2/5) = -13
Solve for y
Show or explain your method
Answer:
I attached both the work and explanation down below. Hope it helps!
Find the perimeter of the pentagon MNPQR with vertices M(2, 4), N(5, 8), P(8, 4), Q(8, 1), and R(2, 1)
Answer:
The pentagon MNPQR has a perimeter of 22 units.
Step-by-step explanation:
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
[tex]p = MN + NP + PQ + QR + RM[/tex] (1)
[tex]p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}[/tex] (1b)
If we know that [tex]M(x,y) = (2,4)[/tex], [tex]N(x,y) = (5,8)[/tex], [tex]P(x,y) = (8,4)[/tex], [tex]Q(x,y) = (8,1)[/tex] and [tex]R(x,y) = (2,1)[/tex], then the perimeter of the pentagon MNPQR is:
[tex]p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}[/tex][tex]p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}[/tex]
[tex]p = 22[/tex]
The pentagon MNPQR has a perimeter of 22 units.
The pentagon MNPQR has a perimeter of 22 units.
Geometrically speaking, the perimeter of the pentagon is the sum of the lengths of each side, that is:
p = MN + NP + PQ + QR + RMp=MN+NP+PQ+QR+RM (1)
p = \sqrt{\overrightarrow{MN}\,\bullet \, \overrightarrow{MN}} + \sqrt{\overrightarrow{NP}\,\bullet \, \overrightarrow{NP}} + \sqrt{\overrightarrow{PQ}\,\bullet \, \overrightarrow{PQ}} + \sqrt{\overrightarrow{QR}\,\bullet \, \overrightarrow{QR}} + \sqrt{\overrightarrow{RM}\,\bullet \, \overrightarrow{RM}}p=
MN
∙
MN
+
NP
∙
NP
+
PQ
∙
PQ
+
QR
∙
QR
+
RM
∙
RM
(1b)
If we know that M(x,y) = (2,4)M(x,y)=(2,4) , N(x,y) = (5,8)N(x,y)=(5,8) , P(x,y) = (8,4)P(x,y)=(8,4) , Q(x,y) = (8,1)Q(x,y)=(8,1) and R(x,y) = (2,1)R(x,y)=(2,1) , then the perimeter of the pentagon MNPQR is:
p =\sqrt{(5-2)^{2}+(8-4)^{2}} + \sqrt{(8-5)^{2}+(4-8)^{2}}+\sqrt{(8-8)^{2}+(1-4)^{2}}+\sqrt{(2-8)^{2}+(1-1)^{2}}+\sqrt{(2-2)^{2}+(4-1)^{2}}p=
(5−2)
2
+(8−4)
2
+
(8−5)
2
+(4−8)
2
+
(8−8)
2
+(1−4)
2
+
(2−8)
2
+(1−1)
2
+
(2−2)
2
+(4−1)
2
p = \sqrt{3^{2}+4^{2}} + \sqrt{3^{2}+(-4)^{2}}+\sqrt{0^{2}+(-3)^{2}}+\sqrt{(-6)^{2}+0^{2}}+\sqrt{0^{2}+3^{2}}p=
3
2
+4
2
+
3
2
+(−4)
2
+
0
2
+(−3)
2
+
(−6)
2
+0
2
+
0
2
+3
2
p = 22p=22
The pentagon MNPQR has a perimeter of 22 units.
Find the volume of the figure
HELP ME PLEASE IM STRUGGLING!!
Answer:
I got great news for you! I have a wonderful grade in math...
Anyway the answer is 6,318
Step-by-step explanation:
Ok so 18x13 is 234. 234x21 is 4,914. Now we have the volume of the box (4,914).
as we know 18x13 is 234. So if we multiply 234x12 we get 2,808. So now all we have to do is divide 2,808 by 2. That gives us 1,404.
1,404+4,914=6,318
So now WALLA we have our answer.
Determine o valor da expressão: -1 + 6 x (7 – 4 ÷ 2)
Answer:
29 is the correct answer. Hope you like my answer.
I need help plz will give brainliest alos need how u got the answer
Answer: B. x = 16/3
3/5x + 1/2 = 3/4x -3/10
minus 3/4x on both sides
-3/20x + 1/2 = -3/10
minus 1/2 on both sides
-3/20x = -3/10
multiply both sides by 20/-3
x = 16/3
Answer:
B) [tex]x=\frac{16}{3}[/tex]
Step-by-step explanation:
[tex]\frac{3}{5}x+\frac{1}{2}=\frac{3}{4}x-\frac{3}{10}[/tex]
[tex]\frac{12}{20}x+\frac{10}{20}=\frac{15}{20}x-\frac{6}{20}[/tex]
[tex]\frac{10}{20}=\frac{3}{20}x-\frac{6}{20}[/tex]
[tex]\frac{16}{20}=\frac{3}{20}x[/tex]
[tex]16=3x[/tex]
[tex]\frac{16}{3}=x[/tex]
Therefore, your answer is B) [tex]x=\frac{16}{3}[/tex]
Sahiti has a circular tabletop with a 2-foot diameter. She wants to paint a pattern on the table top that includes a 2-foot-by-1-foot rectangle and 4 squares with sides 0.5 foot long. Which information makes this scenario impossible?
A. There will be no room left on the tabletop after the rectangle has been painted.
B. A 2-foot-long rectangle will not fit on the circular tabletop.
C. Squares cannot be painted on the circle.
D. There will not be enough room on the table to fit all the 0.5-foot squares.
Geometric sequence
Answer options:
A) an=54(-3)n-1
B) an=-2(-3)n-1
C) an=25(-2)n-1
D) an=4(-5)n-1
The price for pumpkin last year is $1.40 per kilogram. The price for pumpkin this
year is increased by $0.80 per kilogram. What is the price for pumpkin this year?
Answer:
1.40×0.80=1.12 or 1.40/0.80=1.75
Which of the following is an arithmetic sequence?
© 0, 2, 4, 6, ...
O 1, 2, 4, 8, ...
O 1, 4, 8, 13, ...
True or False? When finding the average rate of change if an exponential function, the interval [3, 5] means we want to use the points when x = 3 and when y = 5.
Answer:
yes
Step-by-step explanation:
Can someone help pls
Answer:
F
Step-by-step explanation:
I'm guessing wjdhksdjene
Answer:
J
Step-by-step explanation:
The answer is option J
BRAINILIEST PLEASE
What is the image of (-4,-4) after a dilation by a scale factor of 3 centered at the
origin?
Answer:
(-12, -12)
Step-by-step explanation:
Since the scale factor is 3, you would multiply the x-coordinate and y-coordinate by it.
-4×3=-12
Hope this helps!!
Boubacar went to the store to buy some walnuts. The price per pound of the walnuts
is $6.50 per pound and he has a coupon for $3.75 off the final amount. With the
coupon, how much would Boubacar have to pay to buy 4 pounds of walnuts? Also,
write an expression for the cost to buy p pounds of walnuts, assuming at least one pound is purchased.
Answer:
Step-by-step explanation:
Price per pound of the walnuts = $ 6.50
Price of 4 pounds of the walnuts = 4 *6.50 = $ 26
Amount needs to be paid = Price of 4 pounds of walnut - coupon amount
= 26 - 3.75
= $ 22.25
Expression:
Cost to buy p pounds of walnuts = p * 6.50 = 6.5p
Cost to buy p pounds of walnuts, assuming at least one pound is purchased = 6.50 + 6.5p
If mAD
-
(17x + 2); mAC = (7x – 10), and m_ABC = (4x + 15), find m_ABC.
A
B
G
C С
D
Answer:
36
Step-by-step explanation:
you add the first two the order of operations then you do big and little
Applying the angle of intersecting tangents theorem, m∠ABC = 99°
What is the Angle of Intersecting Tangents Theorem?If two tangents intersect and form an angle outside a circle, based on the angle of intersecting tangents theorem, the angle formed equals half the positive difference of the intercepted arcs.
Given the following:
m(AD) = (17x + 2)m(AC) = (7x – 10)m∠ABC = (4x + 15),Apply the angle of intersecting tangents theorem:
m∠ABC = 1/2[m(AD) - m(AC)]
Substitute
4x + 15 = 1/2[(17x + 2) - (7x - 10)]
2(4x + 15) = 17x + 2 - 7x + 10
8x + 30 = 10x - 12
8x - 10x = -30 - 12
-2x = -42
x = -42/-2
x = 21
m∠ABC = (4x + 15)
Plug in the value of x
m∠ABC = 4(21) + 15 = 99°
Learn more about the angle of intersecting tangents theorem on:
https://brainly.com/question/9143293
What is the volume of the rectangular prism?
I need a lot of help bro
ONLY CORRECT ANSWERS PLEASE HELP ME