Answer: point (60,0)
Step-by-step explanation: the x-intercept (60,0) shows that at 60 minuetes the balloon is 0 meter above the ground
The coordinates of the function of height and time are (210, 0) and (60, 10). The graph is attached below.
What is function?The function is a relationship between a set of potential outputs and a set of possible inputs, where each input has a single relationship with each output. This means that if an object x is present in the set of inputs (also known as the domain), then a function f will map that object to exactly one object f(x) in the set of potential outputs (called the co-domain).
Given:
r(t) = 210 - 15t
Calculate the height after 10 minutes as shown below,
The height = 210 - 15 × 10
The height = 210 - 150
The height = 60
At time 0 the height will be,
The height = 210 - 15 × 0
The height = 210 - 0
The height = 210 meters,
Thus, the coordinates will be (210, 0) and (60, 10)
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Are the following two lines parallel, perpendicular, neither, or the same line?
3x+4y = 2
4x+3y = 2
what are they?
Answer:
Neither.
Step-by-step explanation:
Manipulate the formulas into slope-intercept form which is [tex]y=mx+b[/tex].
In order for them to be parallel, m needs to be the same. Perpendicular, m for one needs to be the negative reciprocal of the other [tex]m=-\frac{1}{m}[/tex].
Let's see what we get.
(1)
[tex]3x+4y=2\\4y=-3x+2\\y=-\frac{3}{4}x+1/2[/tex]
(2)
[tex]4x+3y=2\\3y=-4x+2\\y=-\frac{4}{3}x+2/3[/tex]
They are reciprocals, but they are both negative. So, they are not the same line, perpendicular, nor parallel.
Also, you can graph these equations on desmos and see easily that they have none of these relationships.
3. Wu saved $75 towards a new $250 mountain bike. What percent of the total cost of the bike has Wu saved?
Based on the information given the percent of the total cost of the bike has Wu saved is 30%.
Using this formula
Total cost percentage=Amount saved/Cost×100
Where:
Amount saved=$75
Cost =$250
Let plug in the formula
Total cost percentage=$75/$250×100
Total cost percentage=30%
Inconclusion the percent of the total cost of the bike has Wu saved is 30%.
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16 is 80% of what number?
O A. 20
O B. 12.8
O C. 500
O D. 128
Answer:
A. 20
Step-by-step explanation:
1. To solve this problem, instead of doing 80/100 times 16, we can do 100/80 times 16 (inverse of percentage, basically).
[tex]\frac{100}{80} *16[/tex] [tex]\frac{5}{4} *16[/tex] [tex]\frac{80}{4}[/tex] [tex]20[/tex]Therefore, the answer is A. 20.
A(-5, -4) → A' is a glide reflection where the translation is (x, y) → (x + 6, y), and the line of reflection is y = 3. What are the coordinates of A'?
A. (1, -4)
B. (-5, 2)
C. (1, 10)
D. (11, 2)
Answer:
(1, -4)
Step-by-step explanation:
(-5,-4) -> (x,y) so x = -5 and y = -4. Apply the rule (x+6,y) to that point by substituting in your x and y values.
(-5+6,-4) = (1, -4)
What is the slope of a line passing through the points (2, 5) and (0, −4)?
Answer:
9/2
Step-by-step explanation:
m=∆y/∆x
m= (5+4)/(2—0)
m=9/2
Evaluate the following expression. 12!
Answer:479001600
Step-by-step explanation:
12 factorial is 12 * 11 * 10 ..... all the way to one
A way to do it by hand is
12 * 1
11 * 2
10 * 3
9 * 4
8 * 5
7 * 6
stop here because 6 * 7 and 5 *8 are already listed
This gives you 6 products then multiply those 6 products by pairs which gives you three pairs which gives you three products then compute a pair then multiply by last product.
Easy math but a lot of written work
-
4. 3x² - 2x - 1 = 0
Which equation represents a line which is parallel to the line y=1/5x -1
5x +y =3
X+ 5y =10
5y - x = -20
5x - y = -3
9514 1404 393
Answer:
(c) 5y - x = -20
Step-by-step explanation:
When the x- and y-terms are on the same side of the equation, the slope of the line will be ...
m = -(coefficient of x)/(coefficient of y)
So, the slopes of the offered choices are ...
a) -5/1 = -5
b) -1/5
c) -(-1)/5 = 1/5 . . . . . parallel to given line
d) -5/-1 = 5
The lines will be parallel when their slopes are the same. The slope of the given line is the coefficient of x, 1/5. Choice C has the same slope.
What is the y intercept of y= 3x + n
Answer:
Step-by-step explanation:
1
PLSSS HELP
tge question is in the picture
-2 1/2 - (-1 3/4)
When subtracting a negative vile the equation becomes addition:
-2 1/2 + 1 3/4 = -3/4
Answer: -3/4
find the point (x,y) on the curve where dy/dx = 0
a. By the chain rule,
[tex]\dfrac{dy}{dx} = \dfrac{dy}{dt}\cdot\dfrac{dt}{dx} = \dfrac{dy}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
Given that [tex]y=e^t+e^{-t}[/tex] and [tex]x=e^{-t}[/tex], we have the derivatives
[tex]\dfrac{dy}{dt} = e^t -e^{-t}[/tex]
[tex]\dfrac{dx}{dt} = -e^{-t}[/tex]
and so
[tex]\dfrac{dy}{dx} = \dfrac{e^t - e^{-t}}{-e^{-t}} = 1-e^{2t}[/tex]
Set this equal to zero and solve for t :
[tex]1-e^{2t} = 0[/tex]
[tex]1 = e^{2t}[/tex]
[tex]\ln(1) = \ln\left(e^{2t}\right)[/tex]
[tex]0 = 2t \ln(e)[/tex]
[tex]0 = 2t[/tex]
[tex]t=0[/tex]
This value of t corresponds to x = e⁰ = 1 and y = e⁰ - 1/e⁰ = 1 - 1 = 0. So the only point on the curve where the derivative dy/dx is zero is (1, 0).
b. Compute the second derivative. Since dy/dx is a function of t, we'll momentarily replace it with f(t). By the chain rule,
[tex]\dfrac{d^2}{dx^2} = \dfrac d{dx} \dfrac{dy}{dx} = \dfrac{df}{dx} = \dfrac{df}{dt}\cdot\dfrac{dt}{dx} = \dfrac{df}{dt}\cdot\dfrac{1}{\frac{dx}{dt}}[/tex]
We have
[tex]\dfrac{df}{dt} = -2e^{2t}[/tex]
and we've already committed dx/dt. So
[tex]\dfrac{d^2}{dx^2} = \dfrac{-2e^{2t}}{-e^{-t}} = 2e^{3t} [/tex]
Substitute the first and second derivative into the differential equation:
[tex]\left(\dfrac{d^2y}{dx^2}\right)^2 + \dfrac{dy}{dx} - 1 = 0[/tex]
[tex]\left(2e^{3t}\right)^2 + (1-e^{2t}) - 1 = 0[/tex]
[tex]4e^{6t} -e^{2t}= 0[/tex]
[tex]e^{2t} (4e^{4t} - 1) = 0[/tex]
[tex]4e^{4t} - 1 = 0[/tex]
[tex]4e^{4t} = 1[/tex]
[tex]e^{4t} = \dfrac14[/tex]
[tex]\ln\left(e^{4t}\right) = \ln\left( \dfrac14\right)[/tex]
[tex]4t \ln(e) = -\ln(4)[/tex]
[tex]4t = -\ln(4)[/tex]
[tex]t = -\dfrac{\ln(4)}4[/tex]
Complete the statement based on the following information.
9514 1404 393
Answer:
(c) ΔTRS
Step-by-step explanation:
Perhaps the easiest way to find corresponding vertices is to look at the angle markings:
1 mark: angles J and T
2 marks: angles K and R
3 marks: angles I and S
Then, in order of corresponding angles, we have ...
ΔJKI ≅ ΔTRS
a meal came to $16.41 without tax. calculate the 6% sales tax, and then calculate the 15% tip based on the sum of the meal and the tax. what is the total cost of the meal?
Answer:
$20
Step-by-step explanation:
correct me if im wrong(┬┬﹏┬┬)
original price of a truck $ 17,100.00 Tax 2.5%
[f-g] (3) for f(x)=4x+3 and g(x)=8/x+2 step by step!
Answer:
10.4
Step-by-step explanation:
x=3⇒f(3)= 4×3+3=15
x=3⇒g(3)=8/3+2≈4.6
f(3)-g(3)=15-4.6=10.4
3) 21а⁹ - ба⁴
Factor by GCF
[tex] \: \: \: \: \: \: [/tex]
[tex] = 3a ^{4} \times (7 {a}^{5} - 2)[/tex]
Step-by-step explanation:
[tex]21 {a}^{9} - 6 {a}^{4} [/tex]
factor out 3 a⁴ from the expression[tex] = 3 {a}^{4} \times (7 {a}^{5} - 2)[/tex]
hope it helps[tex] \: \: \: \: \: \: [/tex]
If 2x - 3x = 3 what is 16x / 64x?
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
The problem [tex]2x - 3x = 3[/tex] is incorrect. The correct answer for that one is [tex]-x \:\sf{or\:-1[/tex]
[tex]\sf{Simplify\: the\: expression.[/tex]
[tex]\sf{\frac{16x}{64x} = \frac{1}{4}[/tex]
[tex]x=\frac{1}{4}[/tex]
Therefore, the answer is [tex]\frac{1}{4}[/tex]
Need all of these answers please
(Express these ratios in their simplest form)
Shesho and Merto share a pizza in the ratios 3: 4 respectively. What fraction of the pizza did each get?
BRAINLIEST**
Answer:
3:4 itself.
3:4 itself.
Step-by-step explanation:
3:4 itself.
Graph the linear equation. X = - 4y
which has one solution:
2x + 2y = 180
0.1x + 7y = 78
A patient is prescribed Coreg 12.5 mg by mouth twice a day. How many tablets should the patient
receive for one dose if the medication available is 6.25 mg/tablet?
Answer:
yes...
Step-by-step explanation:
k
QUESTION 7.1 POINT
Translate the given phrase into an algebraic expression and simplify if possible: the difference of -3 and the product of w
and 2
Answer:
-3 - (2w)
Step-by-step explanation:
hope this helps!
What is the product 1.3 × 0.71? Enter your answer in the box.
Answer:
.923
Step-by-step explanation:
1.3 X 0.71 = .923
:))
What is 608 + 17.25?
Answer:
625.25
Step-by-step explanation:
the answer is 625.25
Answer: 625.25
Step-by-step explanation:
30x^8-4x^7+6x^4/-6x^3 perform division
Answer:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
Step-by-step explanation:
[tex]\frac{30x^8-4x^7+6x^4}{-6x^3}[/tex]
The first thing I would do is to factor the numerator. All coefficients there are divisible by 2, and all variables are divisible by x⁴. I'll also move the negative sign to the left.
[tex]-\frac{2x^4(15x^4-2x^3+3)}{6x^3}[/tex]
Next, you can simplify 2/6 to 1/3:
[tex]-\frac{x^4(15x^4-2x^3+3)}{3x^3}[/tex]
Finally, the last thing you can do is simplify x⁴/x³ to x/0:
[tex]-\frac{x(15x^4-2x^3+3)}{3}[/tex]
That's as simplified as it gets.
what is the sum of the 5th cube number an the 2nd cube number
Answer:
i think it is :
5×5×5=125
2×2×2=8
pls help fastttttttttttttttttttttttttt
Answer:
y = 5 x + 7
Step-by-step explanation:
Are the triangles similar? Why?
Answer: Yes
Step-by-step explanation: They are similar because it the same kind of triangle just ones smaller and the other is bigger.
Need help with this question ASAP tysm
Step-by-step explanation:
sorry for my bad handwriting, hope it helps