Answer:
-5
Explaination:
Because -3-2 is -5.
The length of a rectangle is given by 6t + 5 and its height is √t, where t is time in seconds and the dimensions are in centimeters. Find the rate of change of the area with respect to time.
A'(t) =???
MARK AS BRAINLIST
Step-by-step explanation:
L = 6t+5
H = √t
A = L*H
= (6t+5) *√t = 6t√t + 5√t
A'(t) = 6t * 1/2*√t + √t * 6 + 5/2*√t
= 6t/2√t + 6√t + 5/2√t
Expression for the rate of change of the area with respect to time will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex] cm per second
It's given in the question,
Length of a rectangle is given by the expression(6t + 5) cm
Width or height of the rectangle is given by the expression,[tex]\sqrt{t}[/tex] cm
Area of the rectangle is given by,
Area = Length × Height
A = (6t + 5)(√t)
A = [tex]6t^{\frac{3}{2}}+5t^\frac{1}{2}[/tex]
Now find the derivative of area (A) with respect to time (t).
[tex]\frac{dA}{dt}=\frac{d}{dt}(6t^{\frac{3}{2}}+5t^\frac{1}{2})[/tex]
A' = [tex](6\times \frac{3}{2})t^\frac{1}{2}+\frac{5}{2} t^{-\frac{1}{2}}[/tex]
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Therefore, expression for the rate of change of the area will be,
A' = [tex]9t^{\frac{1}{2}}+\frac{5}{2}t^{-\frac{1}{2}}[/tex]
Learn more,
https://brainly.com/question/12596049?
Find the size of unknown angles
Answer:
ok in this diagram we have two triangles the first triangle all angles are unknown the second triangle we have the values of two angles so we will start with the second triangle and as you know angles in a triangle add up to 180° so we will take 35 degrees + 30 degrees and name the unknown angle x is equals to 180 degrees so it will be 65 degrees + x is equals to 180° put the like terms together x will be equal to 180 degrees - 65 degrees it becomes a minus because when a plus crosses the equal sign it becomes - so x is equals to 115° and as you can see in the diagram 115° is vertically opposite z then you can extend the lines so as to understand the diagram better when you extend the lines you find that 35 degrees is equal to angle v so it will be 115 degrees + 35 degrees + x is equals to 180 degrees so 150° + x is equals to 180 degrees put the like times together x is equals to 180 degrees minus 150° x is equals to 30 degrees
how do i do this
10 x 10 x 10 =
10 squared =
10 6
Answer:
Well 10 to the 6th power right?
Step-by-step explanation:
well u multiply 10x10x10x10x10x10
1000000
im sorry if this is not correct im sorry if its not 10 to the 6th power ;ccc
Please answer this.. please
Write a slope intercept equation for line with the given characteristics m=-3/5 passes through (4,-4)
Step-by-step explanation:
Hey there!
Given;
Slope (m) = -3/5
And passes through the point(4,-4).
Now; The equation of a line in slope intercept form is y= mx+b.
So, try to bring it in y= mx+b form.
Firstly let's use one-point formula.
[tex](y - y1) = m(x - x1)[/tex]
Now, keep all values.
[tex](y + 4) = \frac{ - 3}{5} (x - 4)[/tex]
Now, simplify to get answer.
[tex]5(y + 4) = - 3(x - 4)[/tex]
[tex]5y + 20 = - 3x + 12[/tex]
[tex]5y = - 3x + 12 - 20[/tex]
[tex]5y = - 3x - 8[/tex]
[tex]y = \frac{ - 3}{5} x - \frac{8}{5} [/tex]
Therefore the equation is y = -3/5x - 8/5.
Hope it helps...
Using the numbers -4, 10, 8, 2, -3, -5, create an expressions that equals to 6.
Answer:
10+(-4)=6
Step-by-step explanation:
Answer:
-4 + 10
Step-by-step explanation:
It’s a written I just took the test
Um... is there a question?
you are planning a party for 12 people and you purchase 4 bags of candy.If you have a party for 21 people,how many bags of candy should you purchase
Answer:
7
Step-by-step explanation:
one bag of candy for every three people
12 ÷ 4 = 3
21 ÷ 7 = 3
Answer:
7
Step-by-step explanation:
Apply proportions:
People/bag of candy
[tex]\frac{12}{4}[/tex]
For 21 people
[tex]\frac{21}{x}[/tex]
Equal both expressions
[tex]\frac{12}{4} =\frac{21}{x}[/tex]
Solve for x:
[tex]x=21\frac{12}{4} \\x= \frac{21}{3} \\x=7[/tex]
You should purchase 7 bags of candy
please help im struggling really bad on this one question.
Answer:
B
Step-by-step explanation:
90 degrees means 1/4 of 360 degrees. If you think about it like a clock it would be at 3:00. B is the representation of that
Answer:
B
Is going clock wise I dont really know how to explain it
On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 mi/h relative to the riverbank. On the return trip downstream (with the current), her average speed was 3 mi/h. Find Rita’s paddling speed in still water and the speed of the river’s current
Answer: C (ED 2020)
Step-by-step explanation:
C, s + c = 2.75
c - s = 1.5
.60 mi/h
(3x^8)(5x) simplify using Law of exponent
Darnell is building a model submarine using a scale of 1 inch = 16 feet.
a. The finished length of the model is 27 inches. What is the actual length of the submarine?
b. Suppose Darnell creates another model and decides to use a different scale. An actual length of 42 feet is shown on the new model as 12
inches. Complete the ratio for the new scale.
1 inch = feet
Answer:
A. 432 feet.
(I'll let somebody else answer B cause im to dum for dat)
Step-by-step explanation:
I did the math and checked :)
Make Sense and Persevere A submarine
descends to of its maximum depth. Then it
descends another of its maximum depth. If it
is now at 650 feet below sea level, what is its
maximum depth?
help please i'll love you forever thanksssss . *btw i am going to post a lot of questions if you answer & explain I'll give you brainliest each time .*
Isabella noticed that when she doesn't study for a test, on average she makes a 45. Isabella also realizes that for every hour she studies, on average she scores an additional 7 points. Which of the following represents g, get average test score she studied for h hours?
a. 7-5h=g
b. 7+5h=g
c. 45+7h=g
d. 45-7h=g
Answer:
C. 45 + 7h = g
Step-by-step explanation:
This one would be correct because you have to add 7 points to the 45 points she would get on average without studying, without forgetting to multiply 7 by the number of hours that Isabella studied.
Example:
Let's say that Isabella studied for 3 hours. We could replace the h for the number of hours that she studied.
45 + 7(3) = g
Now you just have to solve the equation.
45 + 21 = g
Following the rules of PEMDAS, you would get rid of the parenthesis first by multiplying 7 times 3. Now you just have to add and you will have your answer for g.
g = 66
Solve the system of equation
Answer:
x= 3, y= 8
or x= -1, y= 0
Step-by-step explanation:
y= 2x² -2x -4 -----(1)
y -2x= 2
y= 2x +2 -----(2)
Substitute (1) into (2):
2x² -2x -4= 2x +2
2x² -2x -4 -2x -2= 0 (bring all terms to the left)
2x² -4x -6= 0 (simplify)
x² -2x -3= 0 (÷2 on both sides)
(x -3)(x +1)= 0 (factorise)
x -3= 0 or x +1= 0
x= 3 or x= -1
Substitute into (2):
y= 2(3) +2 or y= 2(-1) +2
y= 6 +2 or y= -2 +2
y= 8 or y= 0
x2 + 45x = -200 Using the quadratic formual and the discirimnat
Answer:
Positive discriminant = 2 real solution
x= -5,-40
Step-by-step explanation:
The discriminant is used to see how many solutions an equation has. If it is negative, the equation has no real solutions, if =0 the equation has 1, and if it is positive, the equation has two real solutions.
The discriminant is the part of the quadratic formula inside the square root:
[tex]b^{2}-4ac[/tex]
Every quadratic formula has the structure:
[tex]ax^{2} +bx+c=0[/tex]
So first, in order to meet this structure we need to add 200 to both sides so the equation is equal to 0. This gives us:
[tex]x^{2} +45x+200=0[/tex]
Our a=1, b=45 and c=200
Now we can substitute these values into the discriminant:
[tex](45)^{2} -4(1)(200)[/tex]
Solve:
[tex]2025-800=1225[/tex]
The discriminant is a positive number which means this equation will have 2 real solution. Now we just need to plug in our values into the quadratic formula to solve this equation. Quadratic formula:
[tex]x=\frac{-+/-\sqrt{b^{2}-4ac} }{2a} \\x=\frac{-45+/-\sqrt{1225} }{2}[/tex]
(Same discriminant value)
[tex]x=\frac{-45+/-35}{2}[/tex]
Now to find the two solutions, we use both signs in the equation. Solution 1:
[tex]x=\frac{-45+35}{2}[/tex]
[tex]x=\frac{-10}{2}=-5[/tex]
Our first solution is -5, now for the second:
[tex]x=\frac{-45-35}{2}\\\\ x=\frac{-80}{2}=-40[/tex]
The two solution to this equation are -5 and -40.
Hope this helped!
What is the Y-intercept and The slope of the equation?
2x+7y=14
Can someone please help me with this!!!
Slope choice:
A. 2/7
B. 7/2
C. -2/7
D. -9
Y-intercept choices
A. 2
B. 7
C. -2
D. 0
Answer:
Slope = -2/7; Y intercept = +2
Step-by-step explanation:
First, for this particular question - we want to convert the equation to slope intercept form! You may recognize it already, it looks like this:
y = mx + b
Here's how:
[tex]2x+7y=14\\2x+7y - 2x = -2x+14\\7y=-2x+14\\\frac{7y}{7} =\frac{-2x+14}{7} \\y = \frac{-2}{7}x+2[/tex]
The above shows this equation in slope intercept form: y = -2/7x + 2.
The slope of this line is -2/7 while the y intercept is 2!
*Note*: In the slope-intercept formula, m stands for the slope, and the b is the intercept!
Hope I was of assistance! Algebra can be a little difficult but you'll get it! Have a nice day and spread the love! <3
Please help me I got a bad grade and I need to redo them
Find the slope
Answer:
The first one has a slope of 4
The second one has a slope of 0.3 repeating
Step-by-step explanation:
You pick two points on the graph.
You find the x and y coordinates of each point.
You find the difference between the two x coordinates.
You find the difference between the two y coordinates.
Divide the difference in the y coordinates by the x coordinates.
If im wrong sorry owo im only in elementary school... <3
Answer:
4/6
Step-by-step explanation:
I NEED HELP ITS URGENT!!! I WILL MARK BRAINLIST!! LOOK AT THE IMAGE ABOVE AND DO BOTH PROBLEMS BY SHOWING THE ENTIRE WORK!!
Do NOT answer if you DONT know. This could lead to serious consequences. Ex: “idk” could lead to the monitor marking you to loose points.
PLEASE HELP
Answer:
okay well all i can explain is the image on the far left, the answer would be x=112 and then for the one on the far right (im not sure ) i think its 17
explanation: so a straight line had 180 degress and the outside angle is 126 meaning that if you do 180-126 you can find the amount of the inside angle on the bottom right. When you do this you get 54 degress. Then remember that a triangle has a total of 180 degrees all added up so the final angle inside the triagle is 80 minus the sum of the other two angles. 58+54=112 and 180-112=68. remember that 68 is the angle on the INSIDE and x is clearly on the outside meaning that you would need to do 180-68. your final answer would be 112. (and im really sorry i couldn't answer the other ones they're too blurry :(
Write 822 in scientific notation.
Answer:
8.22 × 10²
Step-by-step explanation:
Scientific Notation: x.xx × 10ⁿ
We simply follow the base 10 decimal system to convert from standard form to scientific notation:
822 = 8.22 × 10²
What is 5.336 rounded to the nearest tenth of an ounce?
Answer:
5 because its a 3 so you cant round up so you round down.
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
if you have to round anything under five you would round down to zero there for the the number after it would not change hope this helped
Which line is steeper Line A or Line D? EXPLAIN. PLEASE HELP I WILL MARK BRAILIEST!!
Answer:
line A is steeper.
Line A´s slope is 1, while line d´s slope is 2/5
Anyone Need Help Urgent
Given a cylindrical tank, in which situation will you find surface area and in which situation volume.
a)To find how much it can hold.
b)Number of cement bags required to plaster it
c)To find the number of smaller tanks that can be filled with water from it ? .....I will mark as BRAINLIEST.... Thank you!
Answer:
c
Step-by-step explanation:
If you know that the product (x) of two powers is 15^13 and the quotient (÷) of the same two powers is 5, what could the two powers be? How could you verify your answer?
Answer:
if u get it pls tell me
Step-by-step explanation:
The Duquesne Incline, a cable car railway, rises 400 feet over a horizontal distance of 685 feet on its ascent to an overlook of Pittsburgh, Pennsylvania. What is the slope of the incline?
Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.
Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.
Please answer correctly !!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!
Answer:
Not too sure because I don't know how it works for your site but drag the B dot to the A dot and drag that A dot to the C dot so their all going through the lines while being connected.
(sorry if its incorrect had a hard time reading the picture)
operaciones complejas raiz de -100
Answer:
Step-by-step explanation:
10 i
es esto
Multiply 2.89x 23.2 =
Nathan bought 3 1/4 pounds of apples for $0.75 per pound. How much did Nathan pay for the apples (rounded to the nearest hundredth)?
Answer: 2.5
Step-by-step explanation:
3 1.4 lbs also equals 3.25
3 x 0.75 = 2.25
2.25 + 25 = 2.5
PLSS!!!! HELP!!! ME I WILL MARK U!!!!
Answer:
562
Step-by-step explanation:
Plug in the values of x, y, and z provided.
(5(5)-1)^2-2(7)
Solve.
(25-1)^2-14
(24)^2-14
576-14
562
Answer: 562
Step-by-step explanation:
(5x+y)^2-2z
first put in the known values. (5(5)+(-1))^2-2(7)
(25+-1)^2-14
Second, do 25+-1=24
(24)^2-14
Third, do 24 squared
576-14
Subtract
562