Answer:
4) 8+2i
Step-by-step explanation:
When you expand you get 3+4i+5-2i
when you add the like terms you get 8+2i
Answer:
3
Step-by-step explanation:
The answer is 3 3+4 is 7 and 5-2 is 3
Find the total surface area of the figure below:
Answer:
95
Step-by-step explanation:
Formula -
Triangle Area - 1/2bh
Square - l x w
Triangle - 5 x 7 = 35/2 = 17.5
Since there are four triangle, we will multiply 17.5 x 4 which is equal to 70
Square - 5 x 5 = 25
Now we add both 70 and 25 which is 95
So the total surface area is 95
Answer:
95
Step-by-step explanation:
Area of the triangles:
A = (base × height) ÷ 2A = (5 × 7) ÷ 2A = (35) ÷ 2A = 17.5Because there are 4 triangles, we can do our answer of one triangle × 4So, 17.5 × 4 = 70Area of a square:
The sides of squares are the sameA = L × WA = 5 × 5A = 25Put them together:
Area of triangles + area of the square = surface area70 + 25 = suface area70 + 25 = 95I hope this helps!
what are the focus and directrix of the parabola with the equation y = 1/2 x2
Answer:
1/9
Step-by-step explanation:
Answer:
Step-by-step explanation:
Please write this as y = (1/2)x^2 for greater clarity. (1/2) is the coefficient of x^2 here.
The applicable form for the equation of this quadratic is 4py = x^2.
Your y = (1/2)x^2 becomes 2y = x^2. Therefore, 4p = 2, or p = (1/2).
Thus, the focus is (0, 1/2) (just above the vertex, (0, 0) ), and the equation of the directrix is y = -1/2.
An offshore oil well is 1 mile off the coast. The oil refinery is 4 miles down the coast. Laying pipe in the ocean is twice as expensive as laying it on land. Find x, and consider how finding x helps determine the most economical path for the pipe from the well to the oil refinery.
Answer:
[tex]x = \frac{\sqrt 3}{ 3}[/tex]
Step-by-step explanation:
Given
See attachment for complete question
First, we calculate the water pipe length (AC):
[tex]AC^2 = AB^2 + BC^2[/tex]
[tex]AC^2 = 1^2 + x^2[/tex]
[tex]AC^2 = 1 + x^2[/tex]
[tex]AC = \sqrt{1 + x^2[/tex]
The cost of laying across water is twice (2 times) laying on land.
So, the total cost (C) is:
[tex]C = 2 * \sqrt{1 + x^2} + 1 * (4 - x)[/tex]
[tex]C = 2 \sqrt{1 + x^2} + (4 - x)[/tex]
Differentiate
[tex]C' = \frac{2x}{\sqrt{1 + x^2}} - 1[/tex]
To find the most economical cost, we simply minimize C' by equating C' to 0
[tex]C' = 0[/tex]
[tex]\frac{2x}{ \sqrt{1 + x^2}}-1 = 0\\[/tex]
[tex]\frac{2x}{ \sqrt{1 + x^2}}=1[/tex]
Cross multiply
[tex]2x= \sqrt{1 + x^2}[/tex]
Take square of both sides
[tex]4x^2 = 1+x^2[/tex]
Collect like terms
[tex]4x^2 -x^2= 1[/tex]
[tex]3x^2= 1[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = \frac{1}{3}[/tex]
Solve for x
[tex]x = \sqrt{\frac{1}{3}}[/tex]
[tex]x = \frac{1}{\sqrt 3}[/tex]
Rationalize:
[tex]x = \frac{1}{\sqrt 3} * \frac{\sqrt 3}{\sqrt 3}[/tex]
[tex]x = \frac{\sqrt 3}{ 3}[/tex]
WILL GIVE BRAINLIEST
The answer is 7 !
Step-by-step explanation:
25 + 5 + 5 + 5 + 5 + 5 + 5 +5 =60
Nick started a new job this week. The number of hours he works each week varies depending on how many clients he must meet. He earns $7.00 each hour plus a travel allowance of $50.00 each week. What is the function that represents the amount of money Nick makes each week, y, based on the number of hours worked, x?
Answer:
y= $7*x*z+50
Step-by-step explanation:
let y = amount of money Nick makes each week
x = the working hours
z = the numbers of client
The store paid 2.50 for a book and sold it 5.25%. What is the percent?
[HELP ANSWER QUICK 50 POINTS !] The steps below can be used to show that xo =2x.
Step 1: (**)
2
= x
Step 2: (Vx)2 = x
Step 3:
=
1
Step 4: x
=
Which of these correctly completes step 3?
Answer: step 2?
Step-by-step explanation:
Answer: I’m pretty sure the answer is b but I’m not 100% sure
Step-by-step explanation:
Triangle a is reflected i nthe x-axis to give b triangle b isreflected in the y axis to give shape c
Answer:
Hello your question is poorly written attached below is the complete question
Triangle A is reflected in the X-axis to give triangle B , and Triangle B is reflected in the Y axis to give shape C
ii) Draw triangle B and label it
ii) Draw triangle C and label it
answer : attached below
Step-by-step explanation:
Attached below is The graph showing the Triangles A , B and C drawn and labelled using online tools
Find the value of the lettered angles in each of the following ( see image ).
Please show workings.
The only given Angles are 40° , 60° , 10°
Answer:
Same arc intercepted, the angles are equal
t = 10°u = 60°v = 40°Cyclic quadrilateral has supplementary opposite angles
s + v + 60° + 10° = 180°s + 40° = 110°s = 70°And s and r intercept same arc, therefore:
r = s = 70°Pls pls pls help! Giving brainliest! (Math 3)
A town experiences a population growth after a new manufacturing plant opens. If the trend continues, the equation 50,000=24,000(1.23)^t can be used to find the amount of time, t, in years, it will take for the population of the town to reach 50,000
A) t=0.15
B) t=2.10
C) t=3.55
D) 49.11
Answer:
I think it's C. I'm very very very sorry if it's not
Step-by-step explanation:
What does j = 8j – 7 = 57
Answer:
j = 8
Step-by-step explanation:
8j - 7 = 57
8j = 64
64 / 8 = 8
Determine the domain of the following graph:
Answer:
Im not sure but I think its All real numbers
A puzzle book weigh 3/5 lb. A comic book weighs 0.35 lb. How much more does the puzzle book weigh than the comic book? Show your work.
plz help
Answer:
0.25 pounds
Step-by-step explanation:
((3/5) pound) - (0.35 pounds) =
0.25 pounds
Alex can shovel the driveway in 45 minutes if he works alone. Alex and Luisa can shovel the driveway in 20 minutes if they work together. According
to this equation, Luisa can shovel the driveway in minutes if she works alone,
How many minutes would it take Luisa to shovel the driveway if she works alone?
Answer: it would take her 25 minutes I believe
Step-by-step explanation:
Answer:
36
Step-by-step explanation:
The perimeter of a regular hexagon is 78 cm .What will be the length of each side?
Answer:
13 cm
Step-by-step explanation:
78/6=13
Answer:
13cm
Step-by-step explanation:
regular means the sides are equala hexagon has 6sides78/6=13Union President Abraham Lincoln set the Union's first naval goal when he declared a blockade of the Southern coasts. His plan was to cut off Southern trade with the outside world and prevent sale of the Confederacy's major crop, cotton. dont answer it take the pts and leave
Answer:
OK sounds good
Step-by-step explanation:
A rectangle is 6 units by 5 units give its area an perimeter
Answer:
22
Step-by-step explanation:
Perimeter is every side added together soo...
6 + 5+ 6+ 5 =22
answer:
area = 30 units²
perimeter = 22 units
step-by-step explanation:
know the formulasarea = l x wnow plug in what we know6 X 5 = 30 units²
for perimeter, we just have to add all sides6 + 6 + 5 + 5 = 22 units
A boat travels 32 miles in 1 hour(with a constant speed) how far can it travel in 22 hours ( with the same speed)
Basically multiply the 32 mph with the 22 hours (since its per hour, the units carry over), and you get 704 miles!
PLEASE HELP
WORTH 30 PTS!!
Choose the step that shows where a mistake is made (if there is one).
-2(x + 4) + 4x = 16
Step 1 -2x + 8 + 4x = 16
Step 2 2x + 8 = 16
Step 3 2x = 8
Step 4 x = 4
a Step 1
b Step 2
c Step 3
d Step 4
e No mistakes were made. The steps are correct and the answer is x = 4.
Answer:
The mistake is in step 1 when you do -2(x+4) you do the distributive property first -2 times x is -2x that's correct but -2 times 4 is not 8 it is -8
when you multiply by negatives the answer will always be a negative unless your multiply 2 negative number together then itll be positive ex. 4 × -4 = -16 (negative) but -4 × -4 = 16 (positive)
What is the X intercept of the equation y-1= -(x+5)?
Answer:
X-intercept is -4
Step-by-step explanation:
please help me with both a and b, i am clueless
Find an overestimate for 33 x 67 by adjusting each factor up to the next ten
Answer:
210 Is my estimate
Step-by-step explanation:
solve for x then, find m < FDG and m <GOF.
Answer:
choice 4) x = 27, ∠FDG = 62°, ∠GOF = 118°
Step-by-step explanation:
2x + 8 + 4x + 10 = 180°
6x + 18 = 180
6x = 162
x = 27
∠FDG = 2(27) + 8 = 62°
∠GOF = 4(27) + 10 = 118°
NEED ANSWER SUPER FAST!
Sara’s ice cream looks pretty normal. It is shaped like a cone topped with a half-sphere. The cone
has a height of 9 in and a radius of 4 in.
What is the approximate volume of the whole shape? Round your answer to the nearest tenth. Use
3.14 to approximate pi. (Show your work.)
THE ANSWER IS THE VOLUME IS 150.8 INCHES CUBED !!!!!
The hourly rate of your new job is $5.00 per hour. You expect a raise of 9% each year. At the end of your first year, you receive your first raise. What will your hourly rate be at the end of your fifth year?*
Answer:
Step-by-step explanation:
$5×1.09 = $5.45
S=2 (LW+Lh +Wh)
slove for (w)
Answer:
Hello am greatly sorry for doing this but I needed to share this for clarification of the physics question.
Elsa, Hans, and Charlie have a total of in their wallets. Hans has less than Elsa. Charlie has times what Hans has. How much do they have in their wallets?
Answer:
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
Step-by-step explanation:
Elsa, Hans, and Charlie have a total of $106 in their wallets. Hans has $6 less than Elsa. Charlie has 2 times what Hans has. How much do they have in their wallets?
Let us represent.
The amount of money
Elsa = x
Hans = y
Charlie = z
Elsa, Hans, and Charlie have a total of $106 in their wallets.
= x + y + z = 106
Hans has $6 less than Elsa.
y = x - 6
Charlie has 2 times what Hans has.
z = 2x
Hence:
x + x - 6 + 2x = 106
4x - 6 = 106
4x = 106 + 6
4x = 112
x = 112/4
x = 28
Elsa = x = $28
Hans = y = $26
Charlie = z = $56
( 3 - 4i ) + ( 6 + 7i )
Answer:
9 + 3i
Step-by-step explanation:
( 3 - 4i ) + ( 6 + 7i )
We add like terms :)
i need help can someone explain this simply
Does this triangle have a hypotenuse of 39 feet long
Answer:
Yes it does
Step-by-step explanation:
did it on edge
