Answer:
[tex]\frac{dZ}{dt}[/tex]= [tex]\frac{40}{\sqrt{545} }[/tex] , so the model car is moving away from the fixed point at a rate of approximately 1.7 feet per second.
Step-by-step explanation:
The functions x and y satisfy (x−20)^2+y^2=25 and differentiating gives 2(x−20)dx/dt+2y dy/dt=0. Substituting the three known values and solving for dy/dt yields dy/dt=−32. Since Z=x^2+y^2−−−−−−√, dZ/dt=(2x ^ dx/dt+2y^dy/dt) / 2x2+y2√. Substituting Since Substituting for x, y,[tex]\frac{dx}{dt}[/tex] , and [tex]\frac{dy}{dt}[/tex] gives [tex]\frac{dZ}{dt}[/tex]= [tex]\frac{40}{\sqrt{545} }[/tex] ,
What is the value of sin 43° to the nearest ten-thousandth?
Answer:
0.6819
Step-by-step explanation:
The value of sin 43° to the nearest ten-thousandth will be 0.682
Sine functionIn trigonometry, the sine function can be defined as the ratio of the length of the opposite side to that of the hypotenuse in a right-angled triangleThe sine function sin x is one of the basic functions encountered in trigonometryHow to solve this problem?The steps are as follow:
First take calculator and press the sin function buttonAfter entering the sin function button enter the value 43After entering the value 43 press the equal to buttonAnd the answer will be shown on screen will be 0.681999...As in the question stated we have round off to the nearest ten-thousandthSo, the value of sin 43° to the nearest ten-thousandth will be 0.682
Learn more about sine function here:
https://brainly.com/question/9565966
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A line passes through the points (-4,-1) and (4,3). A second line passes through the points (-2,-2) and (2,6). At what point do the two lines intersect
Answer:
(-2/3 , 2/3)
Step-by-step explanation:
Line 1: (-4,-1) (4,3)
m = (3 - -1) / (4 - -4) = 4/8 = 1/2
equation: (y-3)/(x-4) = 1/2 y-3 = 1/2 x - 2
y = 1/2 x + 1 ....(1)
Line 2: (-2,-2) (2,6)
m = (6 - -2) / (2 - -2) = 8/4 = 2
equation: (y-6)/(x-2) = 2 y-6 = 2x - 4
y = 2x + 2 ...(2)
(2)-(1): 0 = 3/2x + 1
3/2 x = -1 x = - 2/3
y = 1/2 * (-2/3) + 1 = 2/3
when looking at an equation, how do you know if it has direct variation?
If ATLY ~ ACHK, find the value of x.
C
T
10
25
H
K
x + 5
L'
4x - 1
Y
A landscaper is building a brick wall. When he starts for the day, the wall is already 2 bricks high, and he builds up the wall by 5 layers ofn bricks every hour. How high will the wall be after 37 hours of working,
Answer:
187 layers after 37 hours.
Step-by-step explanation:
since there is 5 very hour and you already have 2 brick layers high your gonna take 5•37+2=187
Find the nth term of the sequence
20, 30, 42, 56, 72....
Please hurry it's due in an hour!
What is the value of x?
3
10
2y + 4
04
O 6
10 - 2x
08
Answer:
4
Step-by-step explanation:
We know that oppostie sides of a rectange have to be equal
therefore
18=10+2x
solve for x
8=2x
x=4
Answer:
The value of x is 4
Step-by-step explanation:
For a given rectangle
Lenght (l) = 2y = 10
Breadth (b) = 10 + 2x = 18
Here,
2y = 10 ...(1)
10 + 2x = 18 ...(2)
Now, For x
10 + 2x = 18
2x = 18 - 10
2x = 8
x = 8/2
x = 4
Thus, The value of x is 4
-TheUnknownScientist
Solve: 5x=-6x+9
A: x= -9
B: x= -9/11
C: x= 9
D: x= 9/11
Answer:
x = 9/11
Step-by-step explanation:
5x = -6x + 9
Add 6x to both sides
11x = 9
Divide both sides by 11
x = 9/11
Answer:
X Equals 9/11
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. So X will equal 9/11, which in decimal form is 0.81.
A person walks 1/5
mile in 1/15
hour.
The person's speed is ___
miles per hour.
Write the Linear Equation (y=mx+b) from the following table:
Answer:
y=3x+2
Step-by-step explanation:
y2 - y1 / x2 - x1
17-11 / 5-3 = 6/2 = 3
m = 3
17 = 3(5) + b
17 = 15 + b
b = 2
(please correct me if i did this wrong)
Describe the graph of the equation y = 0. Is the equation a function?
vertical line; yes
horizontal line; yes
vertical line; no
horizontal line; no
Answer: B. horizontal line; yes
Use the slope-intercept form to find the slope and y-intercept.
Slope:
0
y-intercept:
(0,0)
Yes it is a function. It is a horizontal line.
Every point on this line is of the form (x,4) where x can be any number you want. The y coordinate is fixed at 4 and cannot change. Two points on this line are (0,4) and (1,4). The horizontal line goes through 4 on the vertical y axis.
Why is it a function? Because it is impossible to draw a vertical line through more than one point on the graph of y = 4. The graph passes the vertical line test. Put another way, for any x input, there is exactly one y output.
Side Note: y = 4 is the same as y = 0x+4. Note how its in the form y = mx+b
m = 0 is the slope
b = 4 is the y intercept
Step-by-step explanation: A. vertical line; yes
horizontal line; yes
Yes! Horizontal line represents a function y = f(x)
(1):Firstly, lets understand a function. For a function to be defined, we have a set of independent variables(inputs) (Domain), a set of dependent variables (outputs) (Codomain). And a relation between the variables.
(2): Each input in X must be related to exactly one output in Y. Or else it won't represent a function.. like in the following image.. y is a function of x.Because each element ofX has one& only one image in Y
C. vertical line; no
A bow and arrow cost £28. The bow
costs £25 more than the arrow.
Make two equations and solve them to
find the cost of a bow and arrow.
Use b for the cost of a bow and a for
the cost of an arrow.
Equation 1 total cost
Equation 2 difference
[4]
A bow costs £
An arrow costs £
[4]
Mark it
Answer:
equation 1. 28 = b + a
equation 2. 28 - 25 = 3
bow costs 25
arrow costs 3
The total cost y varies directly with the number items x sold. Write a direct variation equation if
the item cost $2.35.
Answer:
xy = 2.35
Step-by-step explanation:
The height (h), in feet, of a balloon is calculated by using the equation h equals 3t + 2 where t is the time,in seconds. What is the height of ballon after 30 seconds?
In a classroom, 4 students are wearing red shirts, 11 students are wearing blue shirts, and 10 students are wearing black shirts. What percentage of students are wearing black shirts?
Answer:
40%
Step-by-step explanation:
10÷25=.4
.4= 40%
hope this helped
What is the probability that the spinner will land on either yellow (y) or green (g)?
A: 1/4.
B: 1/3.
C: 1/2.
D: 2/3.
Answer:
I believe it's 1/3
I haven't done these in a while, but basically since there is 6 places and it's asking the probability of it landing on 2 out of the 6, so the answer would be 2/6. Since the answer isn't there, just simpify. 2/6 simplified is 1/3. I'm so sorry if wrong, I haven't done this in a while!
What's the distance between the points (6,2) and (1,2) round to the nearest tenth
Answer: The distance is 5
Step-by-step explanation:
The formula for finding distance is [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Given
x1=6
y1=2
x2=1
y2=2
Solve
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
=[tex]\sqrt{(1-6)^2+(2-2)^2}[/tex]
=[tex]\sqrt{(-5)^2+(0)^2}[/tex]
=[tex]\sqrt{25}[/tex]
=[tex]5[/tex]
Hope this helps!! :)
Please let me know if you have any questions
I WILL GIVE BRAINLIEST
The first step that Juan performed to simplify the expression 3.6 + 0.4(3.8 – 5.9) – 0.5 before entering it into the calculator is shown.
4(3.8 – 5.9) – 0.5
Which statement is true?
Juan performed the first step correctly.
The first step should have been 3.6 + 0.4(–2.1) – 0.5.
The first step should have been 3.6 + 0.4(2.1) – 0.5.
The first step should have been 3.6 + 1.52 – 5.9 – 0.5.
Answer:
b I think ..................
Answer:
I am like 80% sure it is B so. :)
Step-by-step explanation:
❗️❗️❗️❗️❗️❗️❗️❗️❗️❗️
(WILL GIVE BRAINLIEST)
The value of a comic book has been increasing over time. Each year, the value increases by 30%. The original cost of
the comic book was $4.00
which function models the value of the comic book after years?
•V(n)=4+(0.3)^n
•V(n)=4+(1.3)^n
•V(n)=4(0.3)^n
•V(n)=4(1.3)^n
Answer:
Step-by-step explanation:
[tex]V(n)=4(1.3)^n[/tex]
Answer:
V(n)=4(1.3)^n
Step-by-step explanation:
4 is the original value
1.3x is how much the value multiplies every year
n is the amount of years
It's not the 1st or 3rd since that would be depreciating value
It's not the 2nd because that's adding a value instead of multiplying the original
Find the slope and Y intercepts then use them to graph the line
Answer:
y = -4x - 1
Step-by-step explanation:
-12x-3y=3
y = mx + b } basic formula for a line
-12x - 3y = 3
-12x = 3 + 3y
-12x - 3 = 3y
-4x - 1 = y
y = -4x - 1
-1 = y intercept
Answer:
slope = -4
y-itsc = -1
Step-by-step explanation:
Work out the value of 54
18 − 6
5418-6= 5412
Hope this helps
Answer! Plz plz pls pls
Answer:
201.5238
Step-by-step explanation:
201.5238
calculator
Answer:
$201.52
Step-by-step explanation:
156.95 x 0.20 = 31.39 tip
subtotal = 188.34
188.34 x 1.07 = 201.52
Find the slope of the line given the two points on the
line are (-3, 4) and (5, 7).
Answer:
3/8 its rise over run and positive
Care este cel mai mic număr dintre 95.999,96.959,99.595 și 99.995 la care cifra unităților de mii este 5
Răspuns:
95.999
Explicație pas cu pas:
Care este cel mai mic număr între 95.999; 96.959; 99.595 și 99.995, unde numărul de mii este 5
95.999 = Nouăzeci și cinci de mii nouă sute nouăzeci și nouă
96.959 = Nouăzeci și șase de mii nouă sute cincizeci și nouă
99595 = Nouăzeci și nouă de mii cinci sute nouăzeci și cinci
99995 = Nouăzeci și nouă de mii, Nouă sute nouăzeci și cinci.
Folosind cunoștințele despre linia numerică:
95.999 <96.959 <99.595 <99.995
At a clothing store, Ben bought 5 shirts and 2 jackets. Each shirt costs $3.25 and the jacket cost $2.75. How much money does he need to pay out the counter ?
Answer:
21.75
Step-by-step explanation:
Please mark brainliest
answers to this question
8
2.5
12
3
Answer:
3 = ?
Step-by-step explanation:
The triangles are similar, so we can use ratios
15 12 -2
------ = --------------
15+? 12
15 10
------ = --------------
15+? 12
Using cross products
15 * 12 = 10 ( 15+?)
180 = 10 ( 15+?)
Divide each side by 10
18 = 15+?
Subtract 15 from each side
18-15 = 15+?-15
3 = ?
PLEASE HELP I WILL GIVE THE BRAINLIEST
You're making deliveries and can travel 484 miles on 22 gallons of gas. How far can
you travel on 38 gallons of gas?
PLEASE HELP ANSWER FAST I WILL GIVE BRAINLIEST!!!!!
Emily saved $100 to buy a new laptop. If the laptop she wants cost $544 and she earns $12 a week how long will it take for Emily to get enough money?
Create an equation for the problem here. Don't put any spaces.
How many weeks will it take?
Answer:
Take the number of weeks as x
12x = 544 - 100
x =444/12
x = 37
Thus it would take her 37 weeks to buy her a laptop
Answer:
15
Step-by-step explanation:
I I hope this helps please and thank you this gun to help okay bye
You can buy 6 cans for green beans at the Sendiks for $3.80. You can buy 12 of the same cans of beans at
Sam's Club for $6.90. Which place is the better buy? Show the work to prove your answer.
Answer:
Sendiks.
Step-by-step explanation:
Sendiks- 6 ÷ 3.80= $1.58 per can
Sam's Club- 12÷6.90= $1.74 per can
Bill makes a conjecture that the sum of an odd integer and itself is always an even
integer. Which choice is the best proof of his conjecture?
Answer:
Step-by-step explanation: