Answer:
I think the answer is −3+17i
Step-by-step explanation:
:)
The simplified expression is 2 + 17i.
To simplify the expression (5+6i)-(3-8i)-(5-3i), we need to combine like terms.
Like terms are terms that have the same combination of real and imaginary parts.
When subtracting Simplifying complex numbers, we subtract the real parts and the imaginary parts separately.
In this case, the real parts are (5-3) = 2, and the imaginary parts are (6-(-8)-3) = 17.
Therefore, the simplified expression is 2 + 17i.
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Deposits of gold can be found in the deep ocean.
Please select the best answer from the choices provided
OT
OF
The given statement, "Deposits of gold can be found in the deep ocean" is true.
Explanation:
According to the report of National Ocean service, oceans have nearly 20 million pounds of gold that are suspended in normal sea water to the tune of parts per trillion. Deep down the ocean floor, larger amount of gold are encased in rocks that could be mined. But mining in the deepest part of the ocean is not much cost efficient and would not bring any profits. Moreover, since gold will not get decomposed by salt water, it stays undisturbed on the ocean floor.
Answer:
ture!!!!!
Step-by-step explanation:
The Skittles jar has a radius of 3.5 cm and a height of 11.5 cm. Using the two given boxes for reference what would be a good estimate for the number of jelly beans in the jar?
Answer:
1052
Step-by-step explanation:
The two given boxes for reference are presented below.
Since we know the dimensions of the first container, we can calculate its volume.
[tex]V_1= 5 \text{cm} \cdot 4 \text{cm} \cdot 4 \text{cm} = 80 \text{cm}^3[/tex]
The first container held 192 skittles. Using that fact, now that we know the volume of the first box, we can calculate the volume of a single skittle.
[tex]v = \frac{80}{192} = 0.416 \approx 0.42 \text{cm}^3[/tex]
The second container held 258 skittles.
The volume of the second box is:
[tex]V_2 = 12 \text{cm}\cdot 3 \text{cm} \cdot 3 \text{cm} = 108 \text{cm}^3[/tex]
Using this facts, the volume of a single skittle would be
[tex]v = \frac{108}{258} = 0.418 \approx 0.42 \text{cm}^3[/tex]
Therefore, the volume of single skittle is around to 0.42 cm³.
A skittle jar is a cylinder. Its volume is calculated by the formula
[tex]V = r^2h \pi[/tex],
where [tex]r[/tex] is the radius and [tex]h[/tex] is the height. From the given data, we have [tex]r = 3.15 \text{cm}[/tex] and [tex]h = 11.5 \text{cm}[/tex]. Hence, the volume of the jar is
[tex]V = 3.5^2 \cdot 11.5 \cdot 3.14 = 442 \text{cm}^3[/tex]
Now, we can determine the number of skittles in the jar. Let [tex]n[/tex] be the number of skittles in the jar. Then,
[tex]n = \frac{\text{volume of the jar}}{\text{volume of a skittle}} = \frac{V}{v} = \frac{442}{0.42} = 1052.38 \approx 1052\\[/tex]
Final answer:
The best estimate for the number of jelly beans in the jar is approximately 1,000 beans, calculated based on linear dimensions and volume estimation.
Explanation:
The best estimate for the number of jelly beans in the jar would be approximately 1,000 beans.
To estimate this, we first look at linear dimensions and consider a rectangular jar. Assuming the jar is about 10 beans deep, 10 beans wide, and 10 beans high, the volume would be around 10 x 10 x 10, giving us ~ 1,000 beans inside.
Use algebra tiles to find (8x2+4)-(8x2+2)
Answer:
2
Step-by-step explanation:
(8x^2+4)-(8x^2+2)
8x^2+4-8x^2-2
4-2
2
2X plus 8Y minus 3X +9+2y
Two expressions are below.
M = 4(2x + 6)
N = 8x + 10
Part A:
Apply the distributive property to write an expression that is equivalent to expression M.
Part B:
Explain whether or not expressions M and N are equivalent for any value of x.
Label your answers to both parts of the problem in the response box.
Answer:
part A:
M = 4(2x + 6)
= 8x + 24
part B:
option 1) i think the x value is equal for both M and N since they have the value 8.
option 2) If you meant to solve M and N with an EQUATION then here's your answer:
8x+24 = 8x+10
24≠10 (you subtract 8x when taken to the other side)
So, the answer would be NO SOLUTION
Final answer:
To apply the distributive property to expression M, multiply each term inside the parentheses by 4, resulting in M = 8x + 24. Comparing this to expression N, which is N = 8x + 10, one can see that M and N are not equivalent because their constant terms differ.
Explanation:
Part A: Equivalent Expression for M
To find an equivalent expression for M, we use the distributive property which states that multiplying a sum by a number is the same as multiplying each addend by the number and then adding the products. Therefore:
M = 4(2x + 6)
Apply the distributive property to get:
M = (4 × 2x) + (4 × 6)
M = 8x + 24
Part B: Are M and N Equivalent?
To determine if M and N are equivalent expressions, we must compare the expressions that we have for M and N:
M = 8x + 24
N = 8x + 10
Since the coefficients of x are the same but the constant terms are different, the two expressions are not equivalent for any value of x.
For what value of the variable the value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x)?
The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2
Step-by-step explanation:
We have to write the given problem mathematically to solve it
So,
[tex]4(5x-8) = 2(4-x)+4[/tex]
First of all, distributive property will be applied
[tex]20x-32 = 8-2x+4\\20x-32 = 12-2x[/tex]
We have to isolate the variable on one side of the equation
Adding 2x on both sides of equation
[tex]20x-32+2x = 12-2x+2x\\22x-32 = 12[/tex]
Addition property of equality with 32
[tex]22x-32+32 = 12+32\\22x = 44[/tex]
Division Property of Equality (22)
[tex]\frac{22x}{22} = \frac{44}{22}\\x = 2[/tex]
Hence,
The value of the expression 4(5x–8) is 4 more than the value of the expression 2(4–x) for x=2
Keywords: Linear equation, variables
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6 1/4 % of $3,875.00
Answer:
$242.19
Step-by-step explanation:
6 1/4 as a percent: 25/400
25*3,875= 96,875
96,875^400=242.1875, rounded is equal to $242.19
A puppy finds a rawhide bone and begins to pull it with a force, Ft. The free-body diagram is shown. A free body diagram with 4 force vectors. The first vector is pointing downward, labeled F Subscript g Baseline = negative 8 N. The second vector is pointing right, labeled F Subscript t Baseline = 6 N. The third vector is pointing upward, labeled F Subscript N Baseline = 8 N. The fourth vector is pointing left, labeled F Subscript f Baseline = negative 4 N. The up and down vectors are the same length. The right vector is longer than the left vector. Which describes what happens to the bone? It begins to move toward the right. It stays in static equilibrium. It stays in dynamic equilibrium. It begins to move toward the left.
Answer:
It begins to move toward the rightExplanation:
The given information can be summarized in this way:
First force vector: Fg = - 8N (vertical down)Second force vector: Ft = 6N (horizonal right)Third force vector: FN = 8N (vertical up)Fourth vector: Ff = - 4N (horizontal left)Following Newton's second law, net force equal mass times acceleration:
Net force = mass × accelerationTo predict the motion, you apply Newton's second law in each direction (vertical and horizontal)
Vertical force balance:Net vertical force = 8N - 8N = 0. This means there is not motion in the vertical direction.
Horizontal force balance:Net horizontal force = 6N - 4N = 2N. This means there is a net force of 2N to the right, which lets you predict that the bone starts to accelerate to the right; this is, the bone begins to move toward the right.
Answer:
A. It begins to move toward the right.
Step-by-step explanation:
Find the indicated side of the triangle !!!
Answer:
The correct answer is b = 6 √3 units
Step-by-step explanation:
Let's recall that we can use the following ratio for the sides of a 90 - 60 - 30 triangle:
1 : √3 : 2, where 2 is the hypotenuse.
Upon saying that, we have that in our triangle:
Hypotenuse = 12 units
a = 6 units
b = 6 √3 units
The correct answer is b = 6 √3 units
Answer:
b = 6
Step-by-step explanation:
The above questions is trigonometry where hypothenus = 12; opposite = b; and adjacent = a. Applying SOHCAHTOA principle, the appropriate is
Sine = opposite/hypothesis, since we are to find the value of b. Thus,
Sine 30 = b/12
0.5 =b/12
By cross multiplying,
b = 0.5 × 12
b = 6
15 is 37.5 of what number
Answer:
40
Step-by-step explanation:
15 / 37.5% = 40
_y =-2x +7
Do any of y’all know the y intercept
y=0
y=2x+7
x= 7/2 =3.5
- 2×3.5+7 =0
0=- 2×3.5+7
y. x
Please answer will mark as brainliest
Answer:
ANSWER
Step-by-step explanation:
In order to solve the following system of equations by addition, which of the
following could you do before adding the equations so that one variable will
minated when you add them?
4x - 2y=7
3x - 3y=15
Answer:
Below.
Step-by-step explanation:
You could multiply the first equation by 3 and the second one by -2 so that the 2 y terms would be -6y and 6y:
12x - 6y = 21
-6x + 6y = -30
Adding these will eliminate the y variable.
Can someone Help Me With The Answers?
Answer:
5 1/3 x 2 3/4= 3/4 5 x 2 = 10
Step-by-step explanation:
Multiply fractions 1/3 x 3/4= 3/4
The difference between two numbers is 9. The first number plus twice the other number is 27. Find the two numbers.
Answer:
The two numbers are 15 and 6.
Step-by-step explanation:
Given:
The difference between two numbers is 9.
The first number plus twice the other number is 27.
Now, to find the two numbers.
Let the first number be [tex]x.[/tex]
And the other number be [tex]y.[/tex]
So, the difference between two numbers is 9.
[tex]x-y=9[/tex]
[tex]x=9+y[/tex] ............(1)
As, given the first number plus twice the other number is 27.
According to question:
[tex]x+2y=27[/tex]
Substituting the value of [tex]x[/tex] from equation (1):
[tex](9+y)+2y=27\\9+y+2y=27\\9+3y=27[/tex]
Subtracting both sides by 9 we get:
[tex]3y=18[/tex]
Dividing both sides by 3 we get:
[tex]y=6.[/tex]
The other number = 6.
Now, substituting the value of [tex]y[/tex] in equation (1):
[tex]x=9+y\\x=9+6\\x=15.[/tex]
The first number = 15.
Therefore, the two numbers are 15 and 6.
(4x2 – 9x - 1) + (x2 – 5x – 3)
Answer:
5x^2-14x-4
Step-by-step explanation:
(4x^2-9x-1)+(x^2-5x-3)
4x^2+x^2-9x+(-5x)-1+(-3)
5x^2-9x-5x-1-3
5x^2-14x-4
8y-x. When x=20 and y=4
Answer:
12
Step-by-step explanation:
8(4)-20
32-20
12
What is the answer to, - (-x - 3)?
Step-by-step explanation:
[tex](+)(+)=(-)(-)=(+)\\(+)(-)=(-)(+)=(-)\\\\-(-x-3)=-1(-x-3)\qquad\text{use the distributive property}\\\\=(-1)(-x)+(-1)(-3)=x+3[/tex]
Why can't you use the product of powers rule to simplify
this expression? Explain.
3^4•2^8
To use the product of powers rule, the powers must have the same base. In this expression, the bases are 3 and 2, which are different, so the rule does not apply.
If a = 6 and c = 15, what is the measure of ∠A? (round to the nearest tenth of a degree)
Answer:13.7 degrees
Step-by-step explanation:
a^2+b^2=c^2
15^2-6^2=189
[tex]\sqrt{189\\[/tex]
13.7 degrees
How many hundredths are in 539.26? Is the answer 53,926
Answer:
there are 6 hundredths
Step-by-step explanation:
the 6 is in the hundredths decimal place so the answer would be 6
Answer:
53926
Step-by-step explanation:
539.26x100=53926
The sum of four consecutive even integers is 28
Answer:
The four consecutive even integers are 4, 6, 8 and 10.
Step-by-step explanation:
Let the four consecutive even integers be [tex]x, x+2, x+4, x+6[/tex]
It is provided that the sum of these consecutive even integers is 28.
Solve for x as follows:
[tex]x+ x+2+ x+4+ x+6=28\\4x+12=28\\4x=16\\x=4[/tex]
The four consecutive even integers are:
[tex]x=4\\x+2=4+2=6\\x+4 = 4 +4 =8\\x+6=4+6=10[/tex]
Thus, the four consecutive even integers are 4, 6, 8 and 10.
I need help with filling in first y variable please
Answer: 5
Step-by-step explanation:
)$;&&;:)&!;$:!:&:?($;!:!::99
Answer:
In the given equation : y= 128-4x (select the coordinate and plug in the x and y)
y= 128-4(0)
y= 128-0
y= 128
Therefore, the value for y is 128
A square and a circle are used as sample designs for a tiling project. The length of an edge of a square is two times the length of the radius of a circle.
Find the ratio of the area of the circle to the area of square using the given radii.
Select either Choice 'A' or Choice 'B'
For radius x, Choice 'A' π/4 is the correct answer.
For radius 10x, Choice 'B' π/4 is the correct answer.
For radius 100x, Choice 'B' π/4 is the correct answer.
Step-by-step explanation:
The Area of the circle = πr^2, where "r" is the length of the radius.
The Area of square = a^2, where "a" is the length of an edge of a square.
CASE 1 :
Substitute radius r = x and edge length a = 2x,
Area of circle = π*x*x = πx^2
Area of square = 2x*2x = 4x^2
The ratio of the area of the circle to the area of square = πx^2 / 4x^2 = π/4
Choice 'A' π/4 is the correct answer.
CASE 2 :
Substitute radius r = 10x and edge length a = 20x,
Area of circle = π*10x*10x = 100πx^2
Area of square = 20x*20x = 400x^2
Ratio of the area of the circle to the area of square = 100πx^2 / 400x^2
= π/4
Choice 'B' π/4 is the correct answer.
CASE 3 :
Substitute radius r = 100x and edge length a = 200x,
Area of circle = π*100x*100x = 10000πx^2
Area of square = 200x*200x = 40000x^2
Ratio of area of the circle to the area of square = 10000πx^2 / 40000x^2
= π/4
Choice 'B' π/4 is the correct answer.
What is the simplified value of the expression below rounded to the nearest hundredth?
3.5x2+9
10.4-14X2
0 0.28
0.89
1.91
02.11
Answer:
The correct answer is D. 2.11
Correct statement and question:
What is the simplified value of the expression below rounded to the nearest hundredth?
(3.5x2+9)/(10.4-1.4x2)
Source: Previous question that can be found at brainly
Step-by-step explanation:
Let's solve and simplify, this way:
(3.5 x 2 + 9)/(10.4 - 1.4 x 2)
=(7 + 9)/(10.4 - 2.8)
= 16/7.6
= 2.11 (Rounding to the next hundredth)
The correct answer is D. 2.11
Answer:
its d
Step-by-step explanation:
How many solutions does this equation have?
9c − 10 = –10c − 10
The equation has only one solution, c = 0.
Explanation:To determine the number of solutions for the given equation, we need to solve it and see if there is a unique solution, infinitely many solutions, or no solution at all.
First, we can simplify the equation by combining like terms:
9c - 10 = -10c - 10
Adding 10c to both sides, we get:
19c - 10 = -10
Adding 10 to both sides, we have:
19c = 0
Finally, dividing both sides by 19, we find the value of c:
c = 0
The equation has only one solution, c = 0.
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please help What is the domain of the following function?
Answer:
Let's use these two sets given to explain what is the domain.
Each value from the left set is x, and from the right is f(x).
If we plug any x from the left set in the function, we'll get f(x) that corresponds to it and that's exactly what the arrows are showing.
Domain of the function is, basically, a set of all values x can have.
In this case, it's easy to see, those are all members of the left set (-6, 1, 5, 8), but sometimes this set can have lots and lots of members, even infinity.
Is 60/100 equal fraction
Answer:
3/5
Step-by-step explanation:
60/100 = 6/10 ( given by 10th table) = 3/5 (give by 2nd table)
The value of Peter's house has risen 30% a year for the last 3 years. If the value of Peter's home 3 years ago was $120,000.00, what is the value now? A. $156,000.00 B. $228,000.00 C. $202,800.00 D. $263,640.00
Step-by-step explanation:
The price has gone up by 30% each year so each year it is 130% compared to last year. that means a price rate of 1.3^n, with n as number of years gone by. In this case n=3 so 1.3^3=2.197. $120,000.00×2.197=$263,640.00, which is D
Are the ratios 3:7 and 1:2 equivalent
Answer:
Step-by-step explanation:
no they are not equivalent
Answer:
No
Step-by-step explanation:
3 divided by 3 gives you 1, whatever you do on top you have to do in the bottom .
7 divided by 3 does not give you 2. Since you cant apply the same rule of divided by 3 and getting a whole number. They are not the same.