Answer:
Step-by-step explanation:
So that the denominator is a real number. I know that doesn't sound like a good reason, but it is the reason mostly by convention. You don't want complex i's floating all over the answer. There should be just one i.
Answer:
You have to multiply by the complex conjugate because the denominator has to be a real number. By multiplying the complex conjugate you can transform the denominator in to a real number.
Pat starts with two identical square pieces of paper. On the first one, she draws straight lines that divide the paper into a 3-by-3 grid of squares. The total length of the lines she draws is 18cm.
On the second piece of paper, Pat draws straight lines that divide the paper into a 6-by-6 grid of squares.
what is the total length of the lines that Pat draws on the second piece of paper?
Answer:
45 cm
Step-by-step explanation:
2 lines will divide the square in thirds. 2 additional lines will divide those thirds into ninths. Pat's 4 lines total 18 cm.
To divide the square into sixths requires 5 lines. To divide it into 36ths requires 5 additional lines. Hence the total number of lines on the second paper is 10/4 = 5/2 times the total on the first paper.
The total length of lines on the second paper is ...
(5/2)(18 cm) = 45 cm
Answer:
45!!
Step-by-step explanation:
Which expression represents the volume, in cubic units, of
the composite figure?
pi(5^2)(13)-1/3pi(5^2)(12) pi(5^2)(13)-1/3pi(5^2)(25)
pi(5^2)(13)+1/3pi(5^2)(12)
pi(5^2)(13+1/3pi(5^2)(25)
Answer:
C.
[tex]V = \pi * 5^2(13) +\frac{1}{3}\pi * 5^2 (12)[/tex]
Step-by-step explanation:
Given:
The figure is a combination of a cone and a cylinder
Radius (of both), [tex]r = 5[/tex]
Height of Cylinder, [tex]H_1 = 13[/tex]
Height of Cone, [tex]H_2 = 25 - 13 = 12[/tex]
Required:
Volume of the figure
Let V represents the volume of the figure;
[tex]V_1[/tex] represents the volume of the cylinder
[tex]V_2[/tex] represents the volume of the cone
So, [tex]V = V_1 + V_2[/tex]
Where [tex]V_1 = \pi r^2H_1[/tex] and [tex]V_2 = \frac{1}{3}\pi r^2 H_2[/tex]
So, V becomes
[tex]V = \pi r^2H_1 + \frac{1}{3}\pi r^2 H_2[/tex]
Factorize the above expression
[tex]V = \pi r^2(H_1 + \frac{1}{3}H_2)[/tex]
Substitute [tex]r = 5[/tex]; [tex]H_1 = 13[/tex];[tex]H_2 = 12[/tex]
[tex]V = \pi * 5^2(13 + \frac{1}{3} * 12)[/tex]
[tex]V = \pi * 5^2(13 + \frac{1}{3} * 12)[/tex]
Open Bracket
[tex]V = \pi * 5^2(13) +\pi * 5^2 \frac{1}{3} (12)[/tex]
Reorder
[tex]V = \pi * 5^2(13) +\frac{1}{3}\pi * 5^2 (12)[/tex]
From the list of options given, option c is correct.
Answer:
C
Step-by-step explanation:
Eight businesses were asked how many employees they have. Here is the data: 4, 5, 6, 5, 4, 6, 3, 8. Find the mean / A ocho empresas se les preguntó cuántos empleados tienen. Aquí están los datos: 4, 5, 6, 5, 4, 6, 3, 8. Encuentre la media * A.5 B.5.125 C.4 D.6
Answer:
B. 5.125
Step-by-step explanation:
When you add the numbers, you get 41. Then, you divide by how many numbers there are and you would get 5.125.
Answer:
B. 5.125
When you begin to add the numbers your total will be 41 but you would need to divide by the total amount of numbers in the data and your answer would be 5.125
When you add the numbers, you get 41. Then, you divide by how many numbers there are and you would get 5.125.
Step-by-step explanation:
Solve the system of equations 3x+8y=15 2x-8y=10 X= Y=
Enter the correct answer in the box.
What is the standard form of function f?
f(x) = 4(x + 6)^2+ 5
Substitute numerical values into the equation for a, b, and c.
F(x) = ax^2 + bx + c
Answer:
f(x) = 4x² + 48x + 149
Step-by-step explanation:same as the one above me.
The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.
The quadratic function is given below.
f(x) = 4(x + 6)²+ 5
Convert the equation into a standard form. Then we have
f(x) = 4(x + 6)²+ 5
f(x) = 4(x² + 12x + 36)+ 5
f(x) = 4x² + 48x + 144 + 5
f(x) = 4x² + 48x + 149
The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.
More about the function link is given below.
https://brainly.com/question/5245372
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Answer is not b please help
Answer:
63
Step-by-step explanation:
This sum (from n = 1 to n =6 of 128(1/2)^n can be found in several ways. Since there are only a few numbers here to add together, we can just write out the given sum as
128(1/2 + 1/4 + 1/8 + 1/16 + 1/32 + 1/64), or
64 + 32 + 16 + 8 + 4 + 2 + 1, which sums up to 63.
What are the solutions to the quadratic equation x2 – 16 = 0?
O x = 2 and x = -2
x = 4 and x = -4
x = 8 and x = -8
x = 16 and x = -16
Answer: x=8 and x=-8
Step-by-step explanation:
To find the solutions of the quadratic equation, you want to factor it and set it equal to 0.
x²-16=0
(x+8)(x-8)=0
x+8=0
x=-8
x-8=0
x=8
Now that we have factored and set the factors equal to 0, we found that the solutions are x=-8 and x=8.
plz helpp will give brainliest!!!!
Answer:
Its either 25% or 15% but i would go with 25 first
Will and Decrease
Step-by-step explanation:
In the circle, m BC = 94°. The diagram is not drawn to scale.
What is BCP
188
94
47
86
this is the diagram i need help too please
Answer:
47 deg
Step-by-step explanation:
A rectangular swimming pool has a length of 48 feet and a width of 36 feet. A hose needs to extend from the southwest corner of the pool to the northeast corner of the pool. What is the shortest length the hose can be to extend from one corner to the other corner.
Answer:
60 feet
Step-by-step explanation:
The diagonal of a rectangle =root(l^2+b^2)
Therefore,root(36^2+48^2)
. =root(1296+2404)
. =root(3600)=60
correct me if i am wrong
Answer: 60 feet
Hope this helps
If P (5, 1), Q (8, 0), R (0, 4), S (0, 5) and O (0, 0) are plotted on the graph paper, then the point(s) on the x-axis are
A. P and R
B. R and S
C. Only Q
D. Q and O
Answer:
its D Q and O
Step-by-step explanation:
Please please help please thank you for the help please I need it !!!! WILL MARK AS BRAINLIEST!!! Please
Answer:
B
Step-by-step explanation:
Answer:
The answer would Be: B 6
Step-by-step explanation:
find the value of APD angle.
Given that,
ABCD is a square.
AB =BP
will give the brainliest
Answer:
135
Step-by-step explanation:
angle APB is an alternate interior angle to DBC and line DB is supplementary
APD=180-45=135
Two bottles of water and three small bags of fruit cost a total of £2.55. If a bottle of water costs 15p more than a bag of fruit, what is the cost of a bag of fruit?
Answer:
45p
Step-by-step explanation:
2w+3f=2.55
w=f+15p
2w=2f+30p
2f+3f+30p=2.55L
5f+30p=255p
5f=255-30
5f=225p
f=225/5=45p
Lucas attends 8 classes each day. If each class is about
45 minutes long, about how long will Lucas have been
in school when he starts his fourth class of the day?
He will have 3 classes done before starting the fourth class.
3 classes x 45 minutes per class = 135 minutes.
1 hour = 60 minutes
134 minutes = 2 hours and 15 minutes.
Before the fourth class starts he was at school for 2 hours and 15 minutes
50% increase followed by a 33 1/3% decrease
Answer:
A 50% increase followed by a 33/1/3% decrease. = ? (1 + 0.5)*(1 - 0.3333333) = 1.5 * 0.666667 = 1. Result is same as original.
A 50% increase followed by a 33 1/3% decrease is a net decrease of 16 2/3%.
Here is the explanation:
A 50% increase means that the value is multiplied by 1.5.
A 33 1/3% decrease means that the value is multiplied by 0.6666666666666666.
So, the net effect of the two changes is:
(1.5 × 0.6666666666666666) = 1 - (1/6) = 0.8333333333333334
This is a decrease of 16 2/3%.
For example, if you start with a value of 100, then a 50% increase followed by a 33 1/3% decrease will result in a final value of 83.33.
Learn more about net decrease here: brainly.com/question/13244351
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When solving the equation 3x + 9 = 17x - 11, the first step is to?
Step-by-step explanation:
The first step is to move the like terms to same side of equation
3x + 9 = 17x - 11 ➡ 9 + 11 = 17x - 3x
then we add like terms
20 = 14x simplify if needed
10 = 7x and x = 10/7
Which expression is equivalent to (2x4y)^3
Answer:
Step-by-step explanation:
It is equivalent to 8x12y3.
Answer:
8x7y4
Step-by-step explanation:
ASAP.right now will be nice
Answer:
Its where the figures don't touch
Step-by-step explanation:
Stephen and Bridget win some money and share it in the ratio 4:1. Stephen gets £27 more
than Bridget. How much did Bridget get?
Answer:
15 euros
Step-by-step explanation:Add the both ratio together then take the of stephen divided by the sum of the ratio then collect like terms them subtract the answer from stephen's share.
I hope this helps.
Answer: Bridget will get $9
Step-by-step explanation:
Let the ratio of sharing between Stephen and Bridget be 4x and x
respectively .
According to the question ,
Stephen gets $27 more than Bridget.
Then ,
4x - x = 27
→ 3x = 27
→ x = 9
Amount of money that Bridget gets = $ 9
Please help me, it's urgent.
Answer:
A and C
is your answer
Step-by-step explanation:
A. x+4=7
3+4=7
B. x/9=3
27/9=3
C. 5-x=2
5-3=2
D. 8x=32
8*4=32
E. x-10=7
17-10=7
It takes 160 ribbons to make 4 football mums. What is the constant of proportionality that relates the number of football mums made, y, to the number of ribbons used, x? 40 140 80 14
Answer:
40
Step-by-step explanation:
If two variable y and x are related to one other
then they can be represented as y = kx.
where k is constant of proportionality
Number of football mums is represented by y
and number of ribbons is represented by x
Then y = kx
Also, It takes 160 ribbons to make 4 football mums
substituting y with 4 and
substituting x with 160 in y = kx, we have
4 = k*160
=> k = 4/160 = 1/40
Thus, constant of proportionality is 1/40.
But here option given are 40 140 80 14
so ,equation can be represented as
x = ky
substituting y with 4 and
substituting x with 160 in x = ky , we have
160 = k*4
=> k = 160/4 = 40
Thus, for equation x = ky , constant of proportionality is 40.
Find the exact value of each trigonometric function for the given angle θ.
Answer:
[rad] 2.41
Step-by-step explanation:
Since it gave you the point and the angle to find, you simply just have to solve for the inverse of cot. Remember cot is the opposite of tan, so cot is cos/sin. In that case, we plug into the calc (in radians):
cot^-1(-√5/2)
And we should get 2.41 as our answer!
You hungrily remove frozen meat from the fridge. Its temperature is -18 degrees celsius but you can start cooking it only when it reaches 15 degrees celsius. Its temperature is increasing by 3 degrees celsius every minute. How many minutes will you have to wait before you can start cooking? *
Answer:
start at -18 degrees
To get to 15 it would be 33 degrees increased
1 min = 11 minutes
3 degrees = 33 degrees
You would have to wait 11 minutes
Evaluate f(x) = x 2 + 1 for f(-1). a) 0 b) undefined c) 2
Answer:
2
Step-by-step explanation:
f(-1)=-1^2 +1 =2
Answer:
C) 2
Step-by-step explanation:
Hope this helps :)
NEED HELP! Consider circle C with diameter DE.
Which is the equation of circle C?
A.
(x − 2)2 + (y + 1)2 = 185
B.
(x − 2)2 + (y + 1)2 = 370
C.
(x − 2)2 + (y + 1)2 = 740
D.
(x + 9)2 + (y − 7)2 = 185
E.
(x + 9)2 + (y − 7)2 = 740
Step-by-step explanation:
The general form of an equation of a circle with center at (a, b) and radius r is given as:
(x - a)² + (y - b)² = r²
There is no images available to help decide which circle is the right choice... But with the knowledge of what a standard circle looks like, we can make the choice.
What scenario could be modeled by the graph below?
Answer:
It’s C
Step-by-step explanation:
Charlie and Leo were playing with toy cars. Charlie said to Leo that if you give me one car, then i will have twice as many cars as you have. Leo said if charlie gives him a car, they will be equal. How many cars does each boy have?
Answer:
Charlie has 6 and Leo has 4
Step-by-step explanation:
6-1=5 and 4+1= 5
brainliest plsss
Answer:
In the beginning, Leo had 3 cars and Charlie had 3 cars.
In this problem, the statements seem to never be true if applied in the initial value. But if we take the value from the first statement and take it in the second, Leo and Charlie having 3 cars is true.
Step-by-step explanation:
Charlie said to Leo that if you give me one car, then i will have twice as many cars as you have.
[tex](L_{1} - 1) = 2L_{2} = C_{2}[/tex]
From that statement after Leo gives Charlie a car, we'll have something like:
Charlie's Leo's
2 1
4 2
6 3
Also, from that statement we can imply that we're not dealing with a great amount of cars, because the next statement won't be true.
Leo said if Charlie gives him a car, they will be equal.
[tex]L_{1}= C_{1} - 1[/tex]
Another thing is that if the second consideration holds true after the first statement. I will considerate that.
So,
In the beginning, Leo had 3 cars and Charlie had 3 cars.
In this problem, the statements seem to never be true if applied in the initial value.
Evaluate the permutation. 6P2 15 30 36
Answer:
30
Step-by-step explanation:
Using the definition
n[tex]P_{r}[/tex] = [tex]\frac{n!}{(n-r)!}[/tex]
where n ! = n(n - 1)(n - 2)(n - 3)... × 3 × 2 × 1
Thus
6[tex]P_{2}[/tex] = [tex]\frac{6!}{4!}[/tex] = [tex]\frac{6.5.4.3.2.1}{4.3.2.1}[/tex] ← cancel 4.3.2.1 on numerator/ denominator, leaving
= 6 × 5
= 30
8:38
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Erika worked 14 hours last week and 20 hours this week. If she earns $9 per hour, how much did she earn during these two weeks?
Answer:
$216
Step-by-step explanation:
14+20=24
24x9=216
