Answer:
x=7
Step-by-step explanation:
Find the value of 2x+y when x=4 and y3
Answer:
11
Step-by-step explanation:
Replace the values of x and y into the equation.
2(4) + 3 = 8 + 3
= 11
Find the domain of the vector function. (Enter your answer in interval notation.) r(t) = t − 2 t + 2 i + sin(t)j + ln(36 − t2)k
Answer:
The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)
Step-by-step explanation:
The given vector function can be correctly expressed as:
[tex]r(t) = \dfrac{t-2}{t+2}i + sin \ tj + In(36-t^2) k[/tex]
The domain of the given function can be determined by finding the domain of each respective component.
To start with [tex]\dfrac{t-2}{t+2}[/tex]
Not defined, t = -2
Thus, the domain of the first component of the vector = [tex]( - \infty , -2) \cup ( 2, \infty )[/tex]
The 2nd component = sin t
No restriction on t
The 3rd component of the function is ㏑(36 - t²)
Let recall that natural is defined for +ve numbers,
i.e.
36 - t² > 0
(6 + t) (6 - t) > 0
Thus, it satisfies the inequality -6 < t < 6
The third domain = (-6,6)
Overall;
The domain of the vector function is : ( -6, -2) ∪ ( -2, 6)
Domain of a function is the set all possible inputs for that function.The domain of the given vector function is,
[tex](-6, -2) \cap (-2,6)[/tex]
What is domain?
Domain of a function is the set all possible inputs for that function.
Given information-
The vector function given in the problem is,
[tex]r(t)=\dfrac{t-1}{t+2} \hat i++sin(t)\hat j+ln(49-t^2)\hat k[/tex]
To find the domain of the above vector function, we need to find the domain of each function of vector quantity.
Lets find the domain of [tex]\hat i[/tex] first which is given by,
[tex]\dfrac{t-2}{t+2}[/tex]
This function is defined at all values except, t equals to -2 as the function is not defined at,
[tex]t=-2[/tex]
Hence the domain of component [tex]\hat i[/tex] is,
[tex](-\infty, -2) \cap (\infty,2)\\[/tex]
Lets find the domain of [tex]\hat j[/tex] first which is given by,
[tex]\sin(t)[/tex]
Two trigonometry function sine and cosine defined for all real number.
This function is defined at all real numbers. Hence the domain of component [tex]\hat j[/tex] is
Lets find the domain of [tex]\hat k[/tex] first which is given by,
[tex]\ln(36-t^2)[/tex]
Set the above argument greater than zero to find where the expression is defined.Thus,
[tex](36-t^2)>0\\(6+t)(6-t)>0[/tex]
Therefore,
The domain of it should be [tex](-6,6)[/tex]
Hence the domain of the given vector function is,
[tex](-6, -2) \cap (-2,6)[/tex]
Learn more about the domain here;
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Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two
Answer:
step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.
Step-by-step explanation:
STEP 1: Move all terms not containing n to the right side of the equation.
[tex]2n=-12[/tex]
STEP 2: Divide each term by 2 and simplify.
[tex]n=-6[/tex]
Tell whether the triangles are similar.Explain.
Answer: 13. yes 14. no
Step-by-step explanation:
13. same angles sized down
14. different angles sized down
What is the slope for the line 8x-4y=24
Answer:
the slope is 2
Step-by-step explanation:
subtract 8x from both sides to get -4y = -8x + 24
then divide by -4 to get:
y = 2x - 6
2+2/4+7-9x(-5).
Please help me
Answer:
109/2 is the answer of your question . Use PEMDAS rule
Can someone help me with this question please and thank you
Answer:
The complete table will be:
x y
1 5
0.8 4
0.4 2
Step-by-step explanation:
Given rule is:
y = 5x
In the given rule, x is multiplied by 5 to get the values of y. The same rule can be manipulated to find the value of x in terms of y.
[tex]\frac{y}{5} = \frac{5x}{5}\\x = \frac{y}{5}[/tex]
Putting y = 5
[tex]x = \frac{y}{5}\\x = \frac{5}{5}\\x = 1[/tex]
Putting y = 4
[tex]x = \frac{y}{5}\\x = \frac{4}{5}\\x = 0.8[/tex]
Putting y = 2
[tex]x = \frac{2}{5}\\x = 0.4[/tex]
Hence,
The complete table will be:
x y
1 5
0.8 4
0.4 2
If f x) = [x – 3], find f (5.6 ). %3D
Answer:
f(5.6) = 2.6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(x) = [x - 3]
f(5.6) is x = 5.6
Step 2: Evaluate
Substitute in x: f(5.6) = [5.6 - 3]Subtract: f(5.6) = 2.6A 5-ounce can of tuna costs $0.90. A 12-ounce can of tuna costs $2.40. Which is the better buy?
Answer:
To find out which one is the better buy we have to find out what the unit price of each one is. To find a unit price you divide the ounce by the cost.
Step-by-step explanation:
5/90=18 cents
12/240=5 cents
the 12 ounce can is less per ounce so the 12 ounce can is the better buy.
Find the slope of the line graphed below.
Answer:
-3/5
Step-by-step explanation:
So first, you have to find out the two points :
(-1,-1), and (4,-4)
Next, you have to put into this formula:
y1-y2/x1-x2
The y values in our points are -4 and -1, and our x values are 4 and -1. Lets now substitute:
-4-(-1)/4-(-1)
Now simplify: -4+1/4+1, and solve and you will get -3/5 as the slope
If you liked it, please give me a good rating and please mark me as the brainliest... Thanks!
Hope you do well on your assignment!
What is the exterior angle sum for a regular heptagon
Answer:
360 degrees
Step-by-step explanation:
The sum of exterior angles of a heptagon is 360 degrees. For regular heptagon, the measure of the interior angle is about 128.57 degrees. The measure of the central angle of a regular heptagon is approximately 51.43 degrees. The number of diagonals in a heptagon is 14.
Step-by-step explanation:
heptagon = 7
(interior angle)
(7-2)×180 = 900
all 7 vertices angle - interior angle
(7×360) - 900 = 1620
A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for green, 1/15 for blue, 1/20 for pink, and 1/5 for red. What is the probability of pulling a red or pink card, written as a reduced fraction?
Answer:
Step-by-step explanation:
0.2(red) + 0.05(pink)
=0.25
=1/4
ALLWAYS REMEMBER OR MEANS ADD AND AND MEANS MULTIPLY
The probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].
Probability:The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.Step-by-Step Solution -To remember -
'OR' means add.'AND' means multiply. [tex]0.2(red)+0.05(pink)\\= 0.25\\=\frac{1}{4}[/tex]Therefore, the probability of pulling a red card or a pink card is [tex]\frac{1}{4}[/tex].
Know more about probability here:
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I need help?? Please help me and thank you thank
Answer:
1.672
Step-by-step explanation:
What is the perimeter of this polygon?
L2FwcGhvc3RpbmdfcHJvZC9ibG9icy9BRW5CMlVwYkZOdjFTNENGM2w5NTZIbzhybUFJSFlheFNqdmRHMm5BaFpQMUJONnRQcUJobDZYM3AxY29yRFVwWFJWeXc5cU5GQWhDajdDZGN3YUpSYVRmNV8wUzV2LVhSZy54azBYdVdxSDBkeHYxQ0Fs?w=400&h=400
a
24 units
b
22 units
c
28 units
d
26 units
Answer:
I am pretty sure it is
B. 22 units
Step-by-step explanation:
Answer:
24 units.
Count how many boxes make up the outside of the shape. Perimeter is just the distance around the shape.
Let me know of any other questions! :)
A bank received a check for two thousand, six hundred nine dollars and seventy -five cents. How is this written in expanded notation.
Find the slope of UV.*
Ау
S(1, 4)
4
T(5, 3)
V-1, 2)
U(3, 1)
-2.
N.
4
6 x
Answer:
The slope of UV = 4
Step-by-step explanation:
Given the points
U(3, 1)V(-1, 2)Finding the slope of UV
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-1,\:1\right),\:\left(x_2,\:y_2\right)=\left(-2,\:-3\right)[/tex]
[tex]m=\frac{-3-1}{-2-\left(-1\right)}[/tex]
[tex]m=4[/tex]
Thus, the slope of UV = 4
draw a flowchart to calculate the average from 25 exam scores
Answer:
?
Step-by-step explanation:
Today Alice is five times as old as Todd in 10 years she will only be 3 times as old what is there age now
Answer:
30
Step-by-step explanation:
Two printers working together can complete a job in 6 hours. Working alone, one
printer takes three times as long as the other printer. How many hours would each
printer need to complete the job alone?
Answer:
Press A takes 10 hours to do a certain job. So Press A does (1/10)th of the job in an hour.
Press A and Press B, together do (1/2.5) or (4/10)th of the job in an hour.
So Press B does (4/10)-(1/10) = (3/10)th of the job in an hour. So Press B can do the job in (10/3) hours or 3 hour and 20 mins.
Check: A does (1/10)th and B does (3/10)th part of the job in an hour. A and B together will take (1/10)+(3/10) = 4/10th of the job in an hour. So they will complete the job in 10/4 = 2.5 hours. Correct.
Answer: Press B can do the job in 3 hour and 20 mins.
Step-by-step explanation:
What is 6/7 divided by 2/7
Answer:
3
Step-by-step explanation:
6/7 divided by 2/7
=
6/7 divide 7/2 (cancel out 7)
=
6 multiply 1/2 (reduce)
=
3
Multiplying fraction what is 5/8x6/15
[tex]\text {Hello! Let's Solve this Problem!}[/tex]
[tex]\text {When multiplying fractions you multiply numerator by numerator and }[/tex] [tex]\text {demoninator by denominator. Simplifying is required when the answer comes}[/tex] [tex]\text {out as fraction that can be simplified. Simplify until it's reduced to the lowest}[/tex] [tex]\text {fraction it ca be.}[/tex]
[tex]\text {\underline{Multiply}}[/tex]
[tex]\text {5*6=30}[/tex]
[tex]\text {8*15=120}[/tex]
[tex]\text {Your Answer Would Be:}[/tex]
[tex]\Huge\boxed {30/120}[/tex]
[tex]\text {Since this is a fraction we can simplify we simplify it by 30}[/tex]
[tex]\text {Q: What does simplify mean?}[/tex]
[tex]\text {A: It means to divide. So if someone says simplify 2/4 that means divide.}[/tex]
[tex]\text {\underline {Divide}}[/tex]
[tex]\text {30/120 divided by 30 =}[/tex]
[tex]\text {Your Simplified Fraction Answer Would Be:}[/tex]
[tex]\Huge\boxed {1/4}[/tex]
[tex]\text {Best of Luck!}[/tex]
[tex] \huge \sf \underline{Solution:-}[/tex]
[tex] \frac{5}{8} \times \frac{6}{15} [/tex]
[tex] = \frac{30}{120} [/tex]
[tex] = \frac{1}{4} [/tex]
Here, we just have to multiply the top numbers and then multiply the bottom numbers. Then we can simplify the fraction if needed.
So, correct answer is ¼.
Hope it helps you :)
How many
2/3
-cup servings are in four cups of pistachios?
Answer:
4
Step-by-step explanation
A farmer takes 1 week to fill 5 bins of squash. At this rate, how long will it take to fill 350 bins?
Answer:
490 days or 70 weeks
Step-by-step explanation:
Time needed for the farmer to fill 1 bin of squash:
7 days (1 week) divided by 5 = 7/5 days
Time needed to fill 350 bins:
350 x 7/5 days = 490 days or 70 weeks
X
-2
-1
0
1
2
у
N
3
4
5
6
Answer:
can you round it up? what is the question and what are we solving for?
7 ft and 13 ft whats the third side length
Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
Step-by-step explanation:
h=11.4 in
r=5.1 in
v=3.14*r^2*(h/3)
V=3.14*5.1^2*(11.4/3)=3.14*26.01*3.8=310.35
please help me
a piece of wire is 28cm in length is cut into two parts, each part bend to make a square. given that area of square is 416m^2. find the perimeter of each square.
Answer:
25.488 cm and 2.512 cmStep-by-step explanation:
Note: the area of squares is 41 cm² but not 416 m², typo
Let the sides of squares be x and y
Based on given we have equations:
4x + 4y = 28x² + y² = 41Simplify the first equation
4x + 4y = 28x + y = 7x = 7 - ySubstitute x to solve for y:
(7 - y)² + y² = 4149 - 14y + y² + y² = 412y² - 14y + 49 - 41 = 02y² - 14y + 8 = 0y² -7y + 4 =0Solving we get:
y= 6.372 cm or y= 0.628cmThen
x = 0.628 cm or x = 6.372 cmPerimeter of each square is:
4*6.372 = 25.488 cmand
4*0.628 = 2.512 cmhow do I find the percentage of filled seats verus non filled seats for a class
Answer:
since i dont have data this is the best i can do
Step-by-step explanation:
non-filled seats diveded by total number of seats, everything multilped by 100 gives you percentage of non-filled seats.
Filled seats diveded by total number of seats, everything multilped by 100 gives you percentage of filled seats.
total should add up to 100
Mr. Parker wants to rent a cargo van for a day. It will cost the daily fee of $50 plus $0.35 per mile driven. Let m = the number of miles Mr. Parker drives for the day. Write an algebraic expression that shows the amount he will pay for the van. *
answer: is 34
Step-by-step explanation:M=50 so $0.35-50
For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.
He isn't lucky nor unlucky
Step-by-step explanation:
If The owner Wins every round/time he has to be skilled if he's winning for several hours