The set up equation is [tex]\frac{4^7}{p}[/tex]
4 raised to the power of 7 is [tex]4^7[/tex]
The result is divided by p, so divide [tex]4^7[/tex] by [tex]p[/tex]
Which equation is an example of the commutative property of multiplication? (4 + 2i) = (2i + 4) (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i) (4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)(1) (4 + 2i) = (4 + 2i + 0)
Answer: b. (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
Step-by-step explanation:
i took the test
The commutative property is shown by (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i).
What is the commutative property of multiplication?If we alternate the order of the numbers we're multiplying, the product does not change, this is the commutative property of multiplicationConsidering two real numbers a and b, the commutative property of multiplication of these two numbers will show: ⇒ a × b = b × aComplex number (a + bi) also shows the commutative property of multiplication. ⇒ (a + bi) = (bi + a)In the first option, it is given that:
(4 + 2i) = (2i + 4)
In this we can see that there is no multiplication between two complex numbers instead, it shows the addition. Hence this shows the commutative property of addition.
In the third option, it is given that:
(4 + 2i)(3 – 5i) = (4 + 2i)(3 – 5i)
Here we can see that there is multiplication between the two complex numbers but the order of multiplication is same on both the sides, hence this does not show the commutative property of multiplication.
In the fourth option, it is given that:
(4 + 2i) = (4 + 2i + 0)
We can clearly see there is no multiplication in this equation, hence this does not follow the commutative property of multiplication.
In the second option, it is given that:
(4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i)
Here we can see that, there is multiplication between two complex numbers and the order of multiplication is also different on one side, this clearly follows the commutative property of multiplication.
Therefore, the second option i.e. (4 + 2i)(3 – 5i) = (3 – 5i)(4 + 2i) is the correct example of the commutative property of multiplication.
Lear more about the Properties of a complex numbers on: https://brainly.com/question/2781950?referrer=searchResults
#SPJ2
Simplify the expression.
4f8 +39) + 5g
Answer:4f^8+5g+39
Step-by-step explanation:
Sarianna is saving up to but a pet lizard. The lizard costs $12.35, the food costs $8.40, and the cage costs $26. If she has $20,
how much more money does she need to save?
Answer:
26.75
Step-by-step explanation:
Solve by completing the square: 4x^2 - 8x - 8 = 0
a) -2 + sqt. 2, -2 - sqt.2
b) 1 + sqt. 3, 1 - sqt. 3
c) 1 + sqt. 2, 1 - sqt. 2
d) -2 + sqt. 3, -2 - sqt.3
Answer: the correct answer is B 1+\/~3,1-\/~3
edge 2021-2022
Step-by-step explanation:
Can anyone please help
[tex]\text{Hi there! :)}[/tex]
[tex]\large\boxed{f'(2) = -\frac{16}{27} }[/tex]
[tex]f'(x) = \frac{(5 + x^{2} )(-2x) - (7 - x^{2} )(2x)}{(5+x^{2})^{2} } \\\\f'(x) = \frac{-10x-2x^{3}- 14x + 2x^{3} }{(5+x^{2})^{2} } \\\\f'(x) = \frac{-24x}{(5+x^{2})^{2} }\\\\ \text{Solve for the derivative at f'(2) using substitution:}\\\\f'(2) = \frac{-24(2)}{(5+2^{2})^{2} } \\\\f'(2) = \frac{-48}{81} \\\\\text{Simplify:}\\\\f'(2) = -\frac{16}{27}[/tex]
Answer:
1) [tex]f'(x)=-\frac{24x}{(5+x^2)^2}[/tex]
2) [tex]f'(2)=-\frac{16}{27}[/tex]
Step-by-step explanation:
So we have the function:
[tex]f(x)=\frac{7-x^2}{5+x^2}[/tex]
And we want to find f'(x).
To do so, we can use the quotient rule.
So, let's take the derivative of both sides:
[tex]\frac{d}{dx}[f(x)]=\frac{d}{dx}[\frac{7-x^2}{5+x^2}][/tex]
Remember that the quotient rule is:
[tex]\frac{d}{dx}[f/g]=\frac{f'g-fg'}{g^2}[/tex]
In our equation, f is (7-x^2) and g is (5+x^2).
So, using the quotient rule, our derivative f'(x) is:
[tex]f'(x)=\frac{\frac{d}{dx}[7-x^2](5+x^2)-(7-x^2)\frac{d}{dx}[5+x^2]}{(5+x^2)^2}[/tex]
Differentiate:
[tex]f'(x)=\frac{(-2x)(5+x^2)-(7-x^2)(2x)}{(5+x^2)^2}[/tex]
Simplify. Distribute in the numerator:
[tex]f'(x)=\frac{(-10x-2x^3)-(14x-2x^3)}{(5+x^2)^2}[/tex]
Distribute:
[tex]f'(x)=\frac{(-10x-2x^3)+(-14x+2x^3)}{(5+x^2)^2}[/tex]
The cubed terms cancel. This leaves:
[tex]f'(x)=\frac{(-10x)+(-14x)}{(5+x^2)^2}[/tex]
Add. So, our derivative is:
[tex]f'(x)=-\frac{24x}{(5+x^2)^2}[/tex]
To find f'(2), simply substitute 2 into our derivative. So:
[tex]f'(2)=-\frac{24(2)}{(5+(2)^2)^2}[/tex]
Multiply and square:
[tex]f'(2)=-\frac{48}{(5+4)^2}[/tex]
Add:
[tex]f'(2)=-\frac{48}{(9)^2}[/tex]
Square:
[tex]f'(2)=-\frac{48}{81}[/tex]
Reduce by 3:
[tex]f'(2)=-\frac{16}{27}[/tex]
And we're done!
The cost C(in dollars) of making n watches is represented by c=15n + 85. How many watches are made when the cost is $385?
Answer:
20
Step-by-step explanation:
385=15n+85
-85 -85
300=15n
/15 /15
20=n
What is the volume of a piece of copper that is 25 g., and the density is 8.9 g/cm3?
Answer:
The answer is 2.81 cm³Step-by-step explanation:
The volume of a substance when given the density and mass can be found by using the formula
[tex]volume = \frac{mass}{density} \\[/tex]
From the question
mass = 25 g
density = 8.9 g/cm³
The volume is
[tex]volume = \frac{25}{8.9} \\ = 2.80898876...[/tex]
We have the final answer as
2.81 cm³Hope this helps you
Use scalar multiplication to determine the coordinates of the vertices of the dilated figure.
Triangle with vertices A(1, 8), B(6, 1), and c(-9, 4) with scale factor 5/2
The coordinates of the vertices of the dilated figure are A'(1.25, 10), B'(7.5, 1.25), and C'(-11.25, 5).
Scalar MultiplicationThe multiplication of a vector with a positive real number without changing its direction is called scalar multiplication.
How to find the vertices of the dilated figure?The given triangle has the vertices A(1,8), B(6,1), and C(-9,4).
The matrix representation of the triangle ABC is,
[tex]\left[\begin{array}{ccc}1&6&-9\\8&1&4\end{array}\right][/tex]
And the scale factor is 5/2.
The matrix representation of the dilated figure can be obtained by multiplying the above matrix with 5/4.
[tex]=\dfrac{5}{4}\left[\begin{array}{ccc}1&6&-9\\8&1&4\end{array}\right]\\[/tex]
[tex]=\left[\begin{array}{ccc}\dfrac{5}{4}&\dfrac{15}{2}&\dfrac{-45}{4}\\10&\dfrac{5}{4}&5\end{array}\right]\\[/tex]
[tex]=\left[\begin{array}{ccc}1.25&7.5&-11.25\\10&1.25&5\end{array}\right][/tex]
Hence, the coordinates of the vertices of the dilated figure are A'(1.25, 10), B'(7.5, 1.25), and C'(-11.25, 5).
Learn more about dilated figures here - https://brainly.com/question/18068466
#SPJ2
PLEASE HELP IM IN A HURRY
What is the area of the figure composed of a parallelogram, a square, and a rectangle?
Answer:
The area of the figure composed of a parallelogram, a square and a rectangle is 126 in².
Step-by-step explanation:
Hope I could help!
Please help! What’s the error in line 1 ?
Answer:
When you add variables with exponents, you do not add the exponents together.
The error -> [tex]y^2+2y^2=3y^4[/tex]
In this case, they have added the exponent [tex]2+2=4[/tex].
However, you do not add it. Instead, the answer should be [tex]3y^2[/tex]
please help me? this answer
Move it to the left 4 times, move it up once
Answer:
1. c; 2. a; 3. b
Step-by-step explanation:
A(3,-1) translated to (3-4, -1+1)=(-1,0); then reflecting to x=1 (in this case, y doesn't change, and only x value change. x=-1 is 2 unit left side of x=1 line, so new reflected x value would be 2 unit right side of x=1 line, which is 3) gives (3,0).
B(7,1) --> (3,2) --> (-1,2)
C(5,-4) --> (1,-3)--> (1,-3)
Please help!!
Name a pair of complementary angles in the diagram above.
A. 1 and 2
B. 2 and 3
C. 4 and 5
D. 7 and 9
Answer:
Step-by-step explanation:
Write a quadratic equation in vertex form (use y = a(x - h)^2 +
k) that has a vertex of (-1, 7) and passes through the point (3,
39).
answer this i have a test rn please
One box of printer paper has 3 X 10^2 sheets of paper. Another box has 10^3 sheets of paper. What is the TOTAL number of sheets in BOTH boxes.
Answer:
1,300
Step-by-step explanation:
The Total number of sheets in both boxes are 1,300.
What is addition?Addition is a way of combining things and counting them together as one large group. Addition in math is a process of combining two or more numbers.
Now the given number of sheets in first box = 3 x 10^2 = 300
Given number of sheets in the second box = 10^3 = 1,000
Now to find the total number of sheets in both boxes,
Total number of sheets in both boxes
= sheets in first box + sheets in the second box
⇒Total number of sheets in both boxes = 300 + 1,100
⇒Total number of sheets in both boxes = 1,300
Hence,The Total number of sheets in both boxes are 1,300.
More about addition :
brainly.com/question/5146571
#SPJ2
if the fraction is 16/10 what can it be lowered to as a fraction
Answer:
[tex]\large\boxed{5/8}[/tex]
Step-by-step explanation:
16/10
We need to keep the fraction, but still simplify.
We can do this by dividing both the numerator by the same amount
Let's start with 2
(16 ÷ 2) / (10 ÷ 2)
8/5
This fraction is now in lowest terms, it cannot be simplified anymore as not whole number goes into both 5 and 8 evenly.
[tex]\large\boxed{5/8}[/tex]
Let me know if you have any questions about my answer!
(Please help me with this, I really need to pass my work. Thank you all!)
Evaluate each fractional expression Show appropriate work.
1. 3/5 +1/2
2. 2/3-1/6
3. 3/16+3/8
4.-13/8-3/4
5. 1/2(3/4)
6. ―5/12÷45/32
7. 16/21÷(12/27)
8. 24(7/18)
Exponents rewrite in expanded form
9. 3x^2y^3
10. 4^3x^5
11. [3 + (x – y)]^2
12. (2/5x^2)^3
Evaluate each exponential
13.(3/5)^2
14.(-5)^3
15. (2)^3
PEMDAS Show appropriate work for full credit.
16. 20―[4^2÷(2+14)]+5/4^2―13
17.3^2(10) – 6^2 ÷ 12
18. 2(7)+2^3/3^2―7
19.(4^2―5)÷(3―5)
Answer:
i'll try to help you as much as i can
1) 11/10
2) 1/2
3) 9/16
4) 7/8
im awfully sorry but thats all i know
4.3 X.. X 4.3 =
13 times
Which statement about the following equation is true
Options: A. The equation -3|2x + 1.2| = -1 has no solution
B. The equation 3.5|6x - 2| = 3.5 has one solution
C. The equation 5|-3.1x + 6.9| = -3.5 has two solutions
D. The equation -0.3|3 + 8x| = 0.9 has no solution
The correct answer is D. The equation -0.3|3 + 8x| = 0.9 has no solution
Step-by-step explanation:
I just took the test and got 100%
Nick mowed about 5/8 of the school lawn yesterday. He mowed another 1/4 of the lawn this morning. How much is left to mow? *Write your answer as a decimal.
Answer:
1/8 of the lawn is left to mow. As a decimal this would be 0.125.
Step-by-step explanation:
Convert 1/4 to eighths, by multiplying the whole fraction by 2. The fraction would thus be 2/8. Add 5/8 and 2/8 and you know that he has mowed 7/8 of the yard, which means he now has 1/8 left to mow.
HELP THIS IS MY LAST CHANCE
If the vertical length is 10 , what is the horizontal length?
Answer:
5
Step-by-step explanation:
because its the correct answer
Answer:
Its 5 :D have a nice day and dont forget that brainliest nah jk you can if you want lol
Step-by-step explanation:
A balloon flies at 250 ft above sea level. A fish swims at 50 ft below sea level. What is the difference between these elevations?
Answer:
300 ft
Step-by-step explanation:
250 + 50 = 300 ft
Since the fish is below water and the balloon is above water, you have to add them together to get the difference.
(I think. . .)
Kimberly went to a restaurant with 2 friends. Their meal cost $75, and they left a 18% tip. How much was the total bill, including tip
Answer:
13.5
Step-by-step explanation:
Simply, multiply 75x0.18 = 13.5
0.18 (being the percentage)
if the percentage tipped was 8% then you would multiply 75 by 0.08
the product of three negative is _________ integer
Jasmine wants to use her savings of $1,128 to buy video games and movies. The total price of the movies she bought was $72. The video games cost $43 each. Choose the inequality that would be used to solve for the maximum number of video games Jasmine can buy with her savings. 43 + 72x ≤ 1,128 43 + 72x ≥ 1,128 43x + 72 ≥ 1,128 43x + 72 ≤ 1,128
Answer:
The answer is 24. First 1128 - 72 equals 1056 then divide by 43 which equals 24.55 but u cant buy 24.55 VD so its just 24
Step-by-step explanation:
A culture started with 2,000 bacteria. After 3
hours, it grew to 2,400 bacteria. Predict how
many bacteria will be present after 18 hours.
Round your answer to the nearest whole
number.
P = Aekt
Answer:
4,000 bacteria
Answer:
The correct answer is 5,972
Step-by-step explanation:
I got it right on the test
YEET
Answer:
Yeet
Step-by-step explanation:
Yeet yeet yeet, yeet yeet. :D
Answer:
Yes, my kind sir.
Step-by-step explanation:
Too bad its not really lazer. if it is you put this in a vid.
Mrs. Cook is a teacher whose salary is $23,125 for a 185-day school year. In Mrs. Cook's school district, substitute teachers are paid at a rate of $90 per day. If a substitute is paid to teach Mrs. Cook's class in her absence one day, how much less does the school district pay in salary by paying a substitute teacher instead of paying Mrs. Cook for that day? *
Answer:
$90
Step-by-step explanation:
Off course the school district will pay in salary by $90 less.
1.) find the quotient of 1,170 and 90
Answer: 13
Step-by-step explanation: 1170/90 = 13 because 13 x 90 = 1170.
Hope this helps!
Lucy has to run two errands. She starts from home and travels 3 miles south to the post office. From the post office, she travels 4 miles east to the gas station. Then, from the gas station, she travels 5 miles to return home. The entire trip forms a triangle. What was the smallest angle made in her trip?
It is at the gas station.
It is at Lucy’s home.
It is at the post office.
It depends on the direction Lucy is traveling.
Answer:
A. It is at the gas station
Step-by-step explanation:
Answer:
A is correct E2022
Step-by-step explanation:
Which graph represents the function y = 2/3x -2.?
second one to the right
