2 + 6i
-5 + i
simplify
Answer:
7+7i
Step-by-step explanation:
you would combine like terms
f+3≥20 or f+15≤7
Solve for f
Answer:
Your answer is:
1) f >= 17
2) f <= -8
Step-by-step explanation:
Hope this helped : )
The paraboloid z = 3 − x − x2 − 2y2 intersects the plane x = 1 in a parabola. Find parametric equations in terms of t for the tangent line to this parabola at the point (1, 3, −17). (Enter your answer as a comma-separated list of equations. Let x, y, and z be in terms of t.
Answer:
the required parametric equation is:
x = 1
y = t + 3
z = -12t - 17
Step-by-step explanation:
From the given information:
We are to express x,y, and z in terms of t.
The purpose of this question is to find the parametric equations in terms of t.
Given that the tangent line related to the parabola is the point (1,3, -17)
Provided that the paraboloid z = 3 - x - x² - 2y² intersect the plane x = 1 in a paraboloid; then:
z = 3 - 1 - (1)² - 2y²
z = 1 - 2y²
Suppose y = t, then the parametrization is given by:
(x (t), y(t), z(t) ) = (1, t, 1 - 2t²)
(x' (t), y'(t), z'(t) ) = (0,1, -4t)
At the point (x,y,z) = (1,3, -17)
For t (=y) = 3
Hence, (x'(3),y'(3),z'(3)) = (0,1, -12)
Therefore, the equation of the tangent line can be expressed as:
[tex]\dfrac{x-1}{0}=\dfrac{y-3}{1}=\dfrac{z-(-17)}{-12}=(t)[/tex]
x - 1 = 0, y -3 = t, z + 17 = -12t
x = 1, y = t + 3 , z = -12t - 17
Thus, the required parametric equation is:
x = 1
y = t + 3
z = -12t - 17
Find m21.
103°. 13° 77°. 26°
A bathtub is being filled with water. After 10 minutes, there are
75 quarts of water in the tub. Then someone accidentally pulls the
drain plug while the water is still running, and the tub begins to
empty. The tub loses 15 quarts in 5 minutes, and then someone
plugs the drain and the tub fills for 6 more minutes, gaining
another 45 quarts of water. After a 15-minute bath, the person
gets out and pulls the drain plug. It takes 11 minutes for the tub
to drain.
The graph is a graph........
The domain is .....
The range is .......
Please help!!!!!
I'll give 92 points for the one that answers!!!
Answer:
domain is ..... 13
The range is 45
Step-by-step explanation:
suppose you are organizing a party and have a budget of b dollars for the appetizers. You plan to order v vegetarian spring rolls at $0.75 each and s shrimp rolls at $0.95 each.
The equation 0.75v+0.95s=b represents this constraint.
Solve 0.75v+0.95s=b for v
When would it be most helpful to use this equation?
Answer:
v = b/0.75 - 0.95s/0.75
Or
v = (b - 0.95s) / 0.75
Step-by-step explanation:
Solve 0.75v + 0.95s = b for v
This means making v the subject of the formula
0.75v + 0.95s = b
Subtract 0.95s from both sides
0.75v + 0.95s - 0.95s = b - 0.95s
0.75v = b - 0.95s
Divide both sides by 0.75
v = (b - 0.95s) / 0.75
v = b/0.75 - 0.95s/0.75
The equation will be useful in determining the number of vegetarian
5 Which expression is represented on the number line?
ASAP
30 divided by what gives you 6
Answer:
5
Step-by-step explanation:
[tex]30 \div 5 = 6[/tex]
What’s the slope for this chart?
Answer:
3
Step-by-step explanation:
The slope of the chart, (the change of y over x) is 3
5x - 26 = x + 50, then the value of x i
Answer:
x=19
Step-by-step explanation:
work shown either above or below
Graph the line with the slope of 3/5 and goes through the point (1,2)
Answer:
Here's a screenshot of the correct line:
The line with the slope of 3/5 and goes through the point (1,2) is y = 3/5x + 7/5
The equation of a straight line is given by:
y = mx + b
where y, x are variables, m is the slope of the line and b is the y intercept.
Given the line has a slope of 3/5 and goes through the point (1,2). The equation of the line is given by:
[tex]y-y_1=m(x-x_1)\\\\y-2=\frac{3}{5}(x-1)\\\\y-2=\frac{3}{5}x-\frac{3}{5} \\\\y=\frac{3}{5}x+\frac{7}{5}[/tex]
PLEASE HELP, ASAP!!!! eighth grade math. please don’t skip i’ve been trying to keep repost this so i can get an answer:(
What is the largest integer value of n for which 3√ n is less than √ 200? Be sure to explain how you got your answer.
Step-by-step explanation:
[tex]3 \sqrt{n} < \sqrt{200} \\ \sqrt{n} < \sqrt{200} \div 3 \\ \sqrt{n} < \sqrt{200 } \times \sqrt{1 \div 9} \\ \sqrt{n} < \sqrt{200 \times (1 \div 9)} \\ \sqrt{n } < \sqrt{22} \\ n < 22 \\ n = 21[/tex]
200/9=22.22222
so i took the nearest number 22 just to make it easy. I think there is no problem.
Which equation is true when k= -15
Answer:
k over 3 +17 =12
Step-by-step explanation:
-15/3=-5
-5+17=12
During a rainstorm, the water level of the “Big Pond” 2/3 rose ft. Then it rose 4/5 another ft.
How much did it rise in all?
Answer:
1 7/15 feet
Step-by-step explanation:
2/3 + 4/5
10/15 + 12/15
22/15
1 7/15
explain and give an example of how "power to a power" rule is different from "Multiplying powers" rule.
can someone please help me with my algebra 1 homework and if you can explain how it works thank you
Answer:
1. y = 2m + 4
2. y = 3m + 1
3. y = 2/3m +1
4. y = 4m -6
Will answer any questions in the comments
Step-by-step explanation:
1. 1 -> 5 = 4
6 -> 14 = 8
8/4 = 2
y = 2m + 4
2. 2 -> -3 = -5
-5 -> 10 = 15
5/15 = 3
y = 3m + 1
3. 9 -> -3 = -12
11 -> 3 = -8
-8/-12 = 2/3
y = 2/3m + 1
4. 3 -> -2 = -5
6 -> -14 = -20
-20/-5 = 4
y = 4m - 6
Which point is located at -7.75 ?
Answer:
Point C
Step-by-step explanation:
A number x minus 7 is at most 22?
An angle measures 143.4° less than the measure of a supplementary angle. What is the measure of each angle?
Measure of an angle = x
Measure of another angle = x - 143.4
Each angle is the supplement of the other angle .
Which means :-
[tex]x + x - 143.4= 180[/tex]
[tex]2x - 143.4 = 180[/tex]
[tex]2x = 180 + 143.4[/tex]
[tex]2x = 323.4[/tex]
[tex]x = \frac{323.4}{2} [/tex]
[tex]\color{hotpink}x = 161.7[/tex]
Then :-Measure of the first angle :-
[tex]\color{hotpink} = 161.7°[/tex]
Measure of the second angle :-
[tex] = x - 143.4[/tex]
[tex] = 16.7 - 143.4[/tex]
[tex]\color{hotpink} = 18.3°[/tex]
As the sum of the measure of each angle adds up to 180° (161.7+18.3=180) , we can conclude that we have found out the correct value of each of the angles .
Therefore , the measure of the first angle is = 161.7° and the measure of it's supplementary angle is = 18.3° .
75
To go on a fairground ride, you must be at least 5 feet tall. Express this as an inequality.
A. A) h<5
B. B) hs5
C. C) h>5
D. D) h25
Select an answer
4. 700 J of work is used to push an object for 12 seconds. What is the power of this machine?
Answer:
58.3333333333
Step-by-step explanation:
Which definitions describe context? Check all that apply.
words that can give me clues to the meaning of an unknown word
words or ideas inside an unknown word
words or ideas around an unknown word
words that I do not know
words or ideas that are easy to understand
Answer: Words that can give you clues to the meaning of an unknown word
Step-by-step explanation:
Answer:
A and CStep-by-step explanation:
I just answered that question and i got it right. Have a great day :)Robbie needs to figure out how much money he is going to spend on burgers. He needs 22 in total and it costs $3.99 for 4.
Answer:21.94
Step-by-step explanation:22 divided by 4 = 5.5 5.5 times 3.99$ equals 21.94
A restaurant has two different seating options: a table and a family booth. A table can seat 4 people, and a family booth can seat 10 people. The restaurant has a maximum capacity of 242 people. If the restaurant has 19 family booths, which inequality could be used to find t, the number of tables in the restaurant?
Answer: 242 = 190 + 4t
Step-by-step explanation:
You know that the maximum capacity of the restaurant is 242 people, meaning that at most there can only be that many customers seated at that time. Normally, the equation would be 242 = 10b + 4t, but since you already know the number of booths, your work is cut in half, giving you 242 = 10(19) + 4t. The equation would be this because you have the capacity being equal to the number of tables x the number of people at each table and the number of booths x the number of people seated at each of them.
Hannah makes $1,500 per month. She spends $450 on groceries and
eating out. What percentage of her budget is spent on food?
Aline has an x-intercept of 3 and a y-intercept of -6.
The slope-intercept form of its equation is
(0,6) & (3,0)
m = (y2-y1)/(x2-x1)
m = (0-6)/(3-0)
m = -6/3
m = -2
Substitute the values in y = mx + c
0 = -2(6) + c
c = 12
Thus, the equation is y = -2x + 12
Answer:
y=2x-6
Step-by-step explanation:
You can plug this into the slope formula, x-intercept of 3 would be (3,0)
and y intercept of -6 would be (0,-6).
Find the slope using the slope formula. The slope is 2
We are given a y-intercept of -6
therefore, the answer is y=2x-6
What is the answer?
-6 x -6
Answer:
36
Step-by-step explanation:
2/5=x/65 solve for x
A: x=1/26
B: x=16
C: x=28
D: x=26
please help me
Answer:
Solve : -x+26 = 0
Subtract 26 from both sides of the equation :
-x = -26
Multiply both sides of the equation by (-1) : x = 26
[tex] \frac{2}{5} = \frac{x}{65} [/tex]
[tex]2 \times 65 = 5 \times x[/tex]
[tex]130 = 5x[/tex]
[tex]x = \frac{130}{5} [/tex]
[tex] \color{hotpink}x = 26[/tex]
Therefore , the correct option is :-
[tex]\color{plum}D) \: x = 26[/tex]
8.1 + 2.53
help
help
Answer: 10.63
Step-by-step explanation: 8.1 + 2.53
Answer:
10.63
Step-by-step explanation:
Add it together and it makes 10.63
What is the approximate circumference of the pizza?
Answer:
47.1cm
Step-by-step explanation:
multiply 15 cm by 3.14
Given parameters:
Radius of the pizza = 15cm
[tex]\pi[/tex] = 3.14
Unknown:
Approximate circumference of the pizza = ?
Solution:
The pizza is circular and we take the circumference of a circle to find that of the pizza;
Circumference of a circle = 2 [tex]\pi[/tex] r
Input the parameters and solve;
Circumference of a circle = 2 x 3.14 x 15 = 94.2cm
The circumference of the pizza is 94.2cm