Answers
Answer:
[tex]\huge\boxed{\sf k = 3}[/tex]
Step-by-step explanation:
Given that,[tex]5+6i+(-2+ki)=3+9i\\\\5 + 6i-2+ki=3+9i\\\\Combine \ like \ terms\\\\5-2+6i+ki=3+9i\\\\3+(6+k)i=3+9i\\\\Comparing \ both \ sides\\\\6 + k = 9\\\\Subtract \ 6 \ both \ sides\\\\k = 9-6\\\\k = 3\\\\\rule[225]{225}{2}[/tex]
Related Questions
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
Answers
If q is an odd number and the median of q consecutive integers is 120, then the largest of these integers is option (A) (q-1) / 2 + 120
The number q is an odd number
The median of q consecutive integers = 120
Consider the q = 3
Then three consecutive integers will be 119, 120, 121
The largest number = 121
Substitute the value of q in each options
Option A
(q-1) / 2 + 120
Substitute the value of q
(3-1)/2 + 120
Subtract the terms
=2/2 + 120
Divide the terms
= 1 + 120
= 121
Therefore, largest of these integers is (q-1) / 2 + 120
I have answered the question in general, as the given question is incomplete
The complete question is
if q is an odd number and the median of q consecutive integers is 120, what is the largest of these integers?
a) (q-1) / 2 + 120
b) q/2 + 119
c) q/2 + 120
d) (q+119)/2
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$55 is what percent of $55?
Answers
100%
Step-by-step explanation:$55 = $55. Or in other terms:
100% = 100%
$55 is the maximum number of the problem, which would be 100%. So, they are asking what the maximum is. Which is 100%.
Solution:100%
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
Answer: %100
Step-by-step explanation:
55 is the number you are using and the highest number is 55 so it will be %100
The equation c = 10.50p represents the proportional relationship between the total cost (c) and the number of pounds (p) of shrimp at a grocery store.
Which description is true, based on the equation of the proportional relationship?
A) For $0.50, you can buy 1 pound of shrimp.
B) For $1, you can buy 10.50 pounds of shrimp.
C) For $10.50, you can buy 10.50 pounds of shrimp.
D) For $10.50, you can buy 1 pound of shrimp.
Answers
The equation of the proportional relationship is For $10.50, you can buy 1 pound of shrimp.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
c = 10.50p
where total cost (c) and the number of pounds (p) of shrimp at a grocery store.
When p= 1 pounds then the cost is
c= 10.5
Hence, For $10.50, you can buy 1 pound of shrimp.
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Hi, the answer would be D...
For $10.50, you can buy 1 pound of shrimp.
have a nice day! :)
A company has a monthly time series that regularly shows sales being higher in the summer months. This is an example of which component?.
Answers
Answer: The Seasonal? brainleist if im right
Step-by-step explanation:
Which ordered pairs lie on the graph of the exponential function ƒ(x) = 5 (1/2) ^x
Answers
as the funchal for f(x) is equal to 51/2x so it would be b
The urface area of a three-dimenional object i the um of the area of the face. If repreent the length of the ide of a cube, write a formula for the urface area S of the cube
Answers
A Formula for the Surface area of the cube is 6a².
A cube is a three-dimensional solid with six square faces, facets, or sides, three of which meet at each vertex in geometry. It looks like a hexagon from the corner, and its net usually looks like a cross. One of the five Platonic solids, the cube is the only regular hexahedron.
The sum of the areas on each face of the cube that covers it is the cube's surface area. The formula for surface area is six times the cube's length divided by the square of that number. It is denoted by 6a², where a is the cube's side length. It basically refers to the entire surface area.
area of one face = a² [By area of square formula]
There are six faces altogether. Therefore,
TSA (total surface area) of cube = S = a² + a²+ a² + a² + a² +a²
S = 6a²
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(complete question)
The surface area of a three-dimensional object is the sum of the area of the faces. If a represent the length of the side of a cube, write a formula for the surface area S of the cube.
What is the slope of the line that passes through the points (1, -6)
and (-2, 8)? Write your answer in simplest form.
Answers
[tex](\stackrel{x_1}{1}~,~\stackrel{y_1}{-6})\qquad (\stackrel{x_2}{-2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-6)}}}{\underset{run} {\underset{x_2}{-2}-\underset{x_1}{1}}} \implies \cfrac{8 +6}{-3} \implies \cfrac{ 14 }{ -3 } \implies - \cfrac{14 }{ 3 }[/tex]
divide 4x^3 -x^2 +x - 5 by x^2 +x -1
Answers
Answer: 4x^3+1
Step-by-step explanation:
If you place these marbles in a bag close your eyes and choose a marble what is the probability That it will be yellow
Answers
Answer:
Step-by-step explanation: You have 14 and 5 are yellow so 5/14.
someone help me solve this
y= x-2
Answers
Answer:
See below.
Step-by-step explanation:
There is nothing to solve without some additional information. Does the problem state what is to be done, or does it contain any information on the values of x or y? For example:
1) Rearrange for x:
y= x-2
x = y+2
2) What is the value of x if y is 3?
y= x-2
(3)= x-2
x = 5
Decide whether the equation has no solution, one solution, or infinitely many
solutions. Put an X in the appropriate box in the table.
Infinitely
Answers
2. No solution
3. One solution
Explanation:
In infinitely many solutions, you would have a number equal a number on the other side of the equation, as the x’s cancel out. E. G. 5 = 5
In no solution, the numbers one be the same as the first scenario but not equal up. E. G. 2 = 7
In one solution problems, you would do the algebra and end up with an x value on one side and the number on the other. E. G. X = 7
Complete the similarity statement for the two quadrilaterals
given.
Enter your answer in the box.
quadrilateral PGY X ~ quadrilateral
Answers
Answer: loll ok so yes
Step-by-step explanation:
If p=3 and q=5 find p+q+2
Answers
Answer:
= 10
Step-by-step explanation:
p+q+2 = 3 + 5 + 2 = 10
Answer:
10
Step-by-step explanation:
3 + 5 + 2 = 10
The ratio of yellow cars to purple cars in a
car park is 97: 63.
Rewrite this as an equivalent ratio of the
form n : 1.
Give any decimals in your answer to
2 d.p.
Answers
Answer:
1.54 : 1
Step-by-step explanation:
See photo attached. Hope this helps
The equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.
What is Ratio?A ratio is a mathematical comparison between two or more quantities or values. It expresses the relative sizes or amounts of different quantities and is typically represented in the form of a fraction or a colon (:).
The greatest common divisor (GCD) of 97 and 63 is 1, which means they have no common factors other than 1.
Therefore, we can write the ratio of yellow cars to purple cars as: 97:63
Since we need to write it in the form of n:1, we can divide both sides of the ratio by 63 (the smaller number in the ratio):
= 97/63 : 63/63
= 97/63 : 1
= 1.54 : 1
So, the equivalent ratio of yellow cars to purple cars in the form n:1 is 1.54:1.
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Will mark 5 stars and give thanks
Answers
Answer:
x = 14.56 units
Step-by-step explanation:
In the given figure, two secants of the circle are intersecting outside of the circle.Thus, by the 'Theorem of intersecting secants', we have:[tex]9(9+x)=8(8+19)[/tex][tex]\implies 9(9+x)=8(27)[/tex][tex]\implies 81+9x=216[/tex][tex]\implies 9x=216-81[/tex][tex]\implies 9x=131[/tex][tex]\implies x=\frac{131}{9}[/tex][tex]\implies x=14.55555..[/tex][tex]\implies x\approx14.56\: units [/tex]three sides of a triangle are 3, radical7, and 4. Is the triangle acute, right or obtuse?
Answers
Answer: To determine whether a triangle is acute, right, or obtuse, we need to compare the lengths of its sides to the measure of its angles. The triangle is acute if all three angles measure less than 90 degrees, it is right if one angle measures exactly 90 degrees, and it is obtuse if one angle measures more than 90 degrees.
In the case of a triangle with sides 3, radical7, and 4, we can use the Pythagorean theorem to find the measure of its angles. The theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.
Since we know that one side of the triangle has length 4, and another side has length radical7, we can use the theorem to find the length of the third side, which is the hypotenuse. We can write this as an equation: 4^2 + radical7^2 = x^2, where x is the length of the hypotenuse. Solving for x, we get x = 5.
Since the length of the hypotenuse is 5, and one of the other sides has length 4, we can conclude that this triangle is a right triangle. Therefore, the triangle is a right triangle and not acute or obtuse.
Which is not a valid strategy to use when solving the system of equations? 4x - 3y = 8, 2x + 9y = -3
A. Multiply the first equation by 3.
B. Multiply the second equation by 2.
C. Multiply the first equation by 2 and the second equation by 4.
D. Multiply the first equation by 3 and the second equation by 2
Answers
The strategy that does not work to solve the system is the one in option D
"Multiply the first equation by 3 and the second equation by 2"
Which one is not a valid strategy?Here we have the following system of equations:
4x - 3y = 8
2x + 9y = -3
To solve it, we can take a linear combination of the two equations, for example if we do what the first option says and we multiply the first equation by 3 we get:
3*4x - 3*3y = 3*8
12x - 9y = 24
Now we can add this to the other equation to get:
(12x - 9y) + (2x + 9y) = 24 - 3
14x = 21
And the system can be solved.
Now, the option that does not help us to solve the system is the third option:
"Multiply the first equation by 3 and the second equation by 2"
If we do that we will get the equations:
12x - 9y = 24
4x + 18y = -6
If we add these two equations no variable is canceled.
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Graph triangle lmn with vertices l(1,6), m(-2,4), and n (3,2) and its
image after the composition.
Rotation: 90 about the origin
Translation: (x,y) (x-3,y+2)
Answers
The final image of triangle LMN is triangle L''M''N'' with vertices L''(-3,-5), M''(1,-4), and N''(-1,-1).
What is Translation of graph?
A graph can be horizontally translated by moving the base graph to the left or right in relation to the x-axis. Each point on a graph is moved by k units in order to translate it horizontally.
To graph triangle LMN and its image after the composition of a 90 degree rotation about the origin and a translation of (x, y) (x-3, y+2), we can first plot the vertices of triangle LMN on the coordinate plane.
pair L = (1,6);
pair M = (-2,4);
pair N = (3,2);
Next, we can apply the 90 degree rotation about the origin to the vertices of the triangle. The rotation matrix for a 90 degree rotation about the origin is given by:
[cos(90) -sin(90)][x] [y]
[sin(90) cos(90)][y] = [-x]
Substituting the coordinates of the vertices into the rotation matrix, we get:
[cos(90) -sin(90)][1] [6]
[sin(90) cos(90)][-2] = [4]
[3] [2]
Therefore, the image of triangle LMN after the rotation is triangle L'M'N' with vertices L'(-6,1), M'(4,-2), and N'(-2,3).
Finally, we can apply the translation of (x, y) (x-3, y+2) to the vertices of the rotated triangle to get the final image of triangle LMN. The translation matrix is given by:
[tex][1 \ 0][x] [y][-3 \ 2][y] = [x-3][/tex]
Substituting the coordinates of the rotated vertices into the translation matrix, we get:
[1 0][-6] [1]
[-3 2][4] = [-1]
[-2] [3]
Therefore, The final image of triangle LMN is triangle L''M''N'' with vertices L''(-3,-5), M''(1,-4), and N''(-1,-1).
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To make 5 batches , jude need to use blank packages of pre mixed mortar
Answers
Answer:
the answer to your question is 20
Step-by-step explanation:
5 batches× 4 quarts
What is the slope of the line that passes through the points (-1, -7)and (1, -13)? Write your answer in simplest form.
Answers
Answer:
m=-3
Step-by-step explanation:
use slope formula to solve
m=rise/over=y2-y1/x2-x1
Guadalupe has 15 cups of dough to make dumplings. If she uses 3/4 cup of dough for each dumpling, how many dumplings can Guadalupe make?
Answers
Answer: she can make 20 dumplings.
Step-by-step explanation:
15 divided by 3/4 (15/.75) = 20
Marcy is making a hooked circle-shaped rug for her mother. The circumference of the circle-shaped rug is 69.08 inches.
What is the area of the rug? (Use 3.14 for .)
Answers
By using the formula of circumference and area of circle, it can be calculated that-
Area of the rug = 379.94 sq. inches
What is area and circumference of a circle?
Area of a circle is the total space taken by the circle.
If r is the radius of the circle, then area of the circle is calculated by the formula
Area = [tex]\pi r^2[/tex]
Circumference of a circle is the length of the boundary of a circle
If r is the radius of a circle, then circumference of a circle is calculated by the formula
Circumference = 2[tex]\pi[/tex]r
Let the radius of the rug be r inches
Circumference = [tex]2 \times \pi \times r[/tex] inches
= 2 [tex]\times[/tex] 3.14 [tex]\times[/tex] r
= 6.28 r
By the problem,
6.28 r = 69.08
r = [tex]\frac{69.08}{6.28}\\[/tex]
r = 11 inches
Area of the rug = 3.14 [tex]\times[/tex] 11 [tex]\times[/tex] 11
= 379.94 sq. inches
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Ms. D'Amico bought a car with a 20% down payment, which was 5,750. She will finance the rest of the car payments. What was the price of the car?
Answers
Answer:
$28,750
Step-by-step explanation:
To find the price of the car, you need to use the following formula:
price of the car = down payment / (down payment percentage / 100)
Plugging in the given values, you get:
price of the car = 5,750 / (20 / 100)
Simplifying the expression, you get:
price of the car = 5,750 / 0.2
The price of the car is therefore 28,750.
Help me plssssssssssssssssssss
Answers
Answer:
Yes, point (2,4) satisfies the system of inequalities.
Step-by-step explanation:
The area of the graph that is the darkest contains all points that satisfy both inequalities. See the attached worksheet for further explanation of the graph and other colors.
................................................
Answers
Answer:
.........................................
Step-by-step explanation:
.............................................................................................................................................................................................
TWO PART QUESTION NEED! :)))
You decide to invest $500 into a 4-year CD that pays 2.85% interest
compounded monthly.
Use the compound interest formula:A = P(1 + r/n) ^nt to give:
a. The future value in 4 years.
b. The interest gained in 4 years.
Answers
Future value in four years is $1060.30 and Interest gained in four years is 560.30.
Define compound interest.Compound interest is interest that builds up over a set length of time on both principal and interest. The principal is also used to account for the interest that has accrued on a principal over time. Furthermore, the accumulated principal value is used to calculate interest for the subsequent time period. The new way of calculating interest now utilized in all international financial and commercial operations is known as compound interest. When we look at the compound interest values that have built over successive time periods, the power of compounding is clearly apparent.
Given
You decide to invest $500 into a 4-year CD that pays 2.85% interest compounded monthly
Compound interest
A = P( 1+ r/n)^nt
Interest gained in 4 years
A = 500( 1+ 0.0285/12)^(12)(4)
A = 500( 1 + 0.002375) ^48
A = 560.30
Future value in 4 years = $500 + $560.30
Future value in 4 years = $1060.30
Future value in four years is $1060.30 and Interest gained in four years is 560.30.
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Determine whether the Law of Sines or Law of Cosines is the best choice to solve for
the missing dimension for the given figure. Substitute the values into the appropriate
formula and solve for x.
X
26.43
21.35
82.42
49.09
Answers
Answer:
Hi use the sine rule: answer: 26.43
Step-by-step explanation:
2x-6y=-18 please help me its due today
Answers
Answer:
Assuming you want to convert this to slope-intercept form.
Step-by-step explanation:
y=1/3x+3
Subtract 2x from both sides, then divide both sides by negative 6
if you want to graph it, this is what your graph should look like
** See attached photo**
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}. what is another way to represent this solution set?
a. (–[infinity] , two-thirds]
b. (–[infinity] , two-thirds)
c. (two-thirds, [infinity])
d. [two-thirds, [infinity])
Answers
The solution to an inequality is given in set-builder notation as {x l x > two-thirds}.
option c. (two-thirds, [infinity]) is the correct option
What exactly is set builder notation?The set-builder notation can also be used to express sets using an interval or an equation. It is common practise for sets with an unlimited number of elements to write and represent their elements in this way. This makes use of a variable (or several) that fit under the group of typical numerical kinds, such as integers, real numbers, and natural numbers.
What is roster notation?The roster notation is a convenient way to express sets mathematically. Within the curly braces of the roster form, the elements (or members) of a set are listed in a row. In a roster notation, a comma is used to indicate the separation of every two elements when the set contains more than one element.
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PLS HELP ME NEOW PLS
Answers
The correct order of sentences to bisect the angle Q is (1) draw a line from Q to where the arc crosses (2) vertex: set the compass to any convenient width (3) from where the arc crosses lag, make an arc.. (4) place the compass point on the angle Q.
How to bisect an angle?We should know that an angle is the intersection of two or more straight lines.
In construction of angles, using the compass, the first thing is to locate a point say Q. The open the leg of the compass to a convinient radius, make an arc at another point say P. From the point P, bisect the initial arc so made then joion to the starting point Q.
Second, from the point where the arcs met on the two lines, make another two arcs above the points, then join them to the starting point Q
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