Answer:
4 - i
Step-by-step explanation:
Intuitively, the answer will be 4 - i, as the other numbers are too big to have a square as small as 17i. Also, we know that i will not be in the end result, which means that we should have a negative in the result as well.
To test this, we can simply treat 4 and -i as the sides of a right triangle and find the hypotenuse:
[tex]d = \sqrt{4^2 + (-i)^2} \\d = \sqrt{16 + 1}\\d = \sqrt{17}[/tex]
So indeed the answer is 4 - i
Answer:
d) 4-i
Step-by-step explanation:
on edge
Let f(k) = 7k6 + 6k - 10 and g(k) = -366 - 7k + 1. Find the difference (f - g)(k).
Correct question is;
Let f(k) = 7k^(6) + 6k - 10 and g(k) = -3k^(6) - 7k + 1. Find the difference (f - g)(k).
Answer:
(f - g)(k) = 10k^(6) + 13k - 9
Step-by-step explanation:
We are given;
f(k) = 7k^(6) + 6k - 10
g(k) = -3k^(6) - 7k + 1
Thus;
(f - g)(k) = 7k^(6) + 6k - 10 - ( -3k^(6) - 7k + 1)
(f - g)(k) = 7k^(6) + 6k - 10 + 3k^(6) + 7k - 1)
(f - g)(k) = 10k^(6) + 13k - 9
Choose the estimate closest to an average person's weight: 8kg, 80kg, or 800 kg.
The estimate closest to an average person's weight is 80kg
How to determine the estimate?The weights are given as:
8 kg, 80 kg and 800 kg
To answer this question, I will assume that a person means an adult
An adult that weighs 8 kg is very much under weight
Because the average weight of a person is around 60 to 90 kg
Hence, the estimate closest to an average person's weight is 80kg
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Place the numbers in the table to order them from least to greatest.
Pllssss
Step-by-step explanation:
-4.25, -4, 3.95, -13/3, -14/3
Help pls and thanks
The products of the matrices are
[-4 19]
ST = [8 -21]
and
[-12 -8]
TS = [-25 -10]
How to determine the product of the matrices?The matrices are given as
[4 1]
S = [-3 -2]
[0 4]
T = [-4 3]
The product of the matrices is then calculated as
[4 * 0 + 1 * -4 4 * 4 + 1 * 3]
ST = [-3 * 0 - 2 * -4 -3 * 4 - 3 * 3]
Evaluate the sum or difference of products
So, we have
[-4 19]
ST = [8 -21]
Also, we have
[0 * 4 + 4 * -3 0 * 1 + 4 * -2]
TS = [-4 * 4 + 3 * -3 -4 * 1 + 3 * -2]
Evaluate the sum or difference of products
So, we have
[-12 -8]
TS = [-25 -10]
Hence, the products of the matrices are
[-4 19]
ST = [8 -21]
and
[-12 -8]
TS = [-25 -10]
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Traffic signs are regulated by the Manual on Uniform Traffic Control Devices ( MUTCD ) The perimeter of a rectangular traffic sign is 100 inches . Also , its length is 10 inches longer than its width . Find the dimensions of this sign .
The Manual on Uniform Traffic Control Devices governs traffic signs (MUTCD ) A rectangular traffic sign has a 100-inch perimeter. Additionally, its width is 10 inches wider than its length. Identify this sign's measurements.
The dimensions of this sign, the width of the sign is 20 inches and the length of the sign is 30 inches.
Given, The perimeter of a rectangular traffic sign is 100 inches.
rectangular perimeter= 2(l+b)=100
Also, its width is 10 inches wider than its length.
l=10+b
Take 2(l+b)=100
l+b=50
Substitute l=10+b in the above equatuion.
10+b+b=50
10+2b=50
2b=50-10
2b=40
b=20
Substitute b=20 in l=10+b
l=10+20
l=30
Therefore, The width of the sign is 20 inches and the length of the sign is 30 inches.
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m=x+y+z/3 solve for y
Answer: [tex]M-x-\frac{z}{3}=y[/tex]
Step-by-step explanation:
[tex]M=x+y+\frac{z}{3}\\\\M-x-\frac{z}{3}=y[/tex]
2 cos theta - 1 = 0 trig equations
Answer:
what does cos theta mean
Step-by-step explanation:
i need to know
what is the equation for x=3, y=27 pls due tomorrow ASAP
Please Help! Which is the set of whole numbers between ten and fifteen? Responses {12, 14} {12, 14} all real numbers all real numbers {11, 12, 13, 14} {11, 12, 13, 14} null set
{11, 12, 13, 14} is the set of whole numbers between ten and fifteen
This is further explained below.
Which is the set of whole numbers between ten and fifteen?Generally, An aliquot is the number zero, a positive natural number or a negative integer with a negative sign.
The additive inverses of the positive numbers that they relate to are represented by the negative numbers.
In conclusion, {11, 12, 13, 14} is the set of whole numbers between ten and fifteen
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Please Help!!Which is the set of whole numbers between ten and fifteen? Responses A. {12, 14} B. all real numbers C. {11, 12, 13, 14} D. null set
represent 45% as a decimal
Answer:
45% as a decimal is 0.45
Step-by-step explanation:
45% ÷ 100 = 0.45
please help with this i m lost! what formula do i use???
Answer:
I think it's c I haven't done those formulas in while
-3=?-11 Find the missing value.
Answer:
?=8
Step-by-step explanation:
I substituted the ? for x
-3=x-11
first we want to isolate the x to do that, you have to find a way to move -11 to the other side. Well, x+0=x right? So all we have to do is find a way to go from -11 to 0! In this case you add 11 to both sides. This is very important so don't forget.
-3=x-11
+11 +11
-3+11=8
x=8
If you check your work, this should also go back in perfectly.
-3=8-11
or
-3=-11+8
I hope this helps!
Have a good day!
If 5x is the average of two numbers and one of the numbers is 3, what is the other number? My book says its 10x-3. How did they come up with that answer?
The other number given the average of the two numbers and one of the numbers is 10x - 3.
What is the average of the two numbers?The average of a set of numbers is the mean of the numbers. The average of a set of numbers is determined by adding the numbers together and dividing it by the sum of numbers. Average is a measure of central tendency.
In order to determine the second answer, subtract the first number from the sum of numbers.
Average = sum of numbers / total numbers
5x = sum of numbers / 2
Sum of the two numbers = 5x × 2
Sum of the two numbers = 10x
If one of the numbers is 3, the other number is: 10x - 3
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What is the next term of the arithmetic sequence?
-7, -5, -3, -1, 1,
Which exponential equation is equivalent to log311=a?
Answer:
[tex]3^{a}[/tex] = 11
Step-by-step explanation:
using the rule of logarithms
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex] , so
[tex]log_{3}[/tex] 11 = a ⇒ 11 = [tex]3^{a}[/tex]
give the formula for the following sequence. 22, 19, 16, 13, 10,...
Answer:
x_n = x_(n-1) - 3
Step-by-step explanation:
x_n = x_(n-1) - 3
Take the previous number and subtract 3
Answer:
Just keep on adding 3
Step-by-step explanation:
10 + 3 = 13 + 3 = 16 +3 =19 + 3 = 22
Estimate the length of the line segment to the nearest tenth of a unit ( each grid square is 1 square unit).
By using the Pythagorean theorem, we conclude that the length of the segment is 3.2 units.
How to estimate the length of the segment?
We want to find the length of the graphed segment. In the grid, we can see that the horizontal displacement between the two ends measures one unit, and the vertical displacement measures 3 units.
So the length can be tought as the hypotenuse of a right triangle whose legs measure one unit and 3 units.
By using the Pythagorean theorem, we can find that lenght L by.
L^2 = 1^2 + 3^2
Now, if we apply the square root in both sides we will get:
L = √(1^2 + 3^2) = √(1 + 9) = √10 = 3.2
We conclude that the length of the segment is 3.2 units.
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600 lbs + 480 lbs I need this rounded to the correct precision
Help and thanks very much
Answer:
ST= [-4 19 TS= [-12 -8
8 -18 ] while -25 -10 ] therefore :- multiplication of matrices is not commutative .
Step-by-step explanation:
multiplication of matrices 2x2
[ a b × [ w x
c d ] y z ]
[ a.w + b.y a.x + b.z
c.w + d.y c.x + d.z ]
& PHO
The ratio of boys to girls on the
school bus is 2 to 5. If there are 12
boys on the bus, then how many
girls are there?
Answer: 30
Step-by-step explanation:
Think of each number in the ratio of 2:5 as a group. Each group has to be the same. 2 groups of boys : 5 groups of girls. There are 12 boys on the bus. So the 12 boys are split into 2 groups. 12/2=6. 6 boys are in each group. Since we now know that each group had 6 kids we just need to find the number of girls. There are 5 groups of 6 girls. 5x6=30. There are 30 girls on the bus.
What are the coordinates of the vertex? *
Answer:
(2,-7)
Step-by-step explanation:
The equation of a parabola is y=a(x-h)^2 + k
the vertex in this equation is (h,k)
Since the equation that is given is y=(x-2)^2-7
we can conclude that the vertex will be (2,-7)
Divide the fractions.
9/2 divided by 4/10
Answer:
11 1/4
Step-by-step explanation:
9/2/4/10
9/2/2/5
9/2*5/2
45/4
11 1/4
Final Answer:
45/4
Step-by-step explanation:
9/2 ÷ 4/10
9/2 ÷ 10/49/2 × 10/4 = 90/890/8 ⇒ 45/4
A florist sells long stem roses in bouquets of various sizes. If a 12-rose bouquet costs $42, and a 20-rose bouquet costs$65, which statement about the relationship
of price to number of roses per bouquet is true?
The statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.
Given that a 12-rose bouquet costs $42, and a 20-rose bouquet costs$65.
We are required to make a statement about the relationship of price to number of roses per bouquet which is true.
If we observe each value then the coordinates will be (12,42) and (20,65).
Slope=(65-42/20-12)
=23/8
=2.875
Hence the statement that there is $2.875 increase for each increase in unit of rose in the bouquet is true that tells about the relationship of price to number of roses per bouquet.
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Can pls answer this you get 5 points
Using scientific notation, it is found that this could be an approximation for:
A) 4,762,100,000 years.
What is scientific notation?A number in scientific notation is given by:
[tex]a \times 10^b[/tex]
With the base being [tex]a \in [1, 10)[/tex].
The number in this problem is:
[tex]5 \times 10^9[/tex]
Which means that it should have 10 digits, the equivalent to 5 plus the equivalents to the 9 zeros, with:
The first digit being 4.The second digit being 5 or greater, due to rounding.Hence the number that could be approximated is:
A) 4,762,100,000 years.
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Tamara’s shopping bill comes up to $750. How much does she have to pay after a VAT of 15% is added to all the items?
Use the map shown below to find the distance between cities A and B to the nearest tenth.
Answer:
Use the Pythagorean theorem
Step-by-step explanation:
(-1,4)(2,-5), (-3,2)(3,0) parellel or perpendicular
Answer:
Perpendicular
Step-by-step explanation:
These lines don't run with each other, and instead, cross paths.
Convert as indicated.
72oz to ____ lb ____ oz
Question content area bottom
Part 1
oz
enter your response here lb
enter your response here oz
Answer:
Hope this helps
Step-by-step explanation:
Answer in pounds: 4.5.
Sorry I can't get your OZ one
On the day that Tony was born his grandmother invested $2200 in a certificate of deposit that pays a 3% interest
rate compounded annually. How much money will there be in the account on his 16th birthday?
Answer:
$3530.3541
Step-by-step explanation:
Given that:
Principal = 2200
Interest rate compounded annually (r) = 3%
Time (t) = 16 years
Using the compound interest formula :
A = P(1 + r/n)^n*t
A = final amount
n = number of times interest is applied per period
A = 2200(1 + 0.03)^16
A = 2200(1.03)^16
A = 2200 * 1.60470643909878751793
A = $3530.3541
Hence, amount in account on his 16th birthday will be $3530. 3541