Answer:
Step-by-step explanation:
Determine which climbed at a constant rate
A constant rate would produce a straight line. The slope is the same for all the data for that climber. We can either calculate the slope between the first and last intervals and see if the slope changes. Or we can graph the points, which I chose to do. See the attachment.
Note that Joe's rate is not constant. It appears as though he's wearing down. Both Zas and Stephon have constant slopes, so their climbing rates are constant over the period measured.
The slope is the climbing rate:
Joe: Not Constant
Zas: 2.5 feet/sec
Stephon: 4.0 feet/sec
Time to Reach 30 feet
Joe: Unknown - he's slowing down at an unpredictable rate.
For Zas and Stephen, use their slopes in the expression:
Use m for slope (ft/sec): y = m(t) where t is time in seconds
Zas: 2.5 feet/sec: y = 2.5(t) Time to reach 30 is 30/2.5 or 12 sec.
Stephon: 4.0 feet/sec: y = 4.0(t) Time to reach 30 is 30/4.0 or 7.5 sec.
At a restaurant your total bill is $45. Sales tax is 5%. What is your total bill after tax?
Answer:
47.25
Step-by-step explanation:
Heres how I found the answer:
if sales tax is 5%, then we need to find 5% of 45 and add it to 45!
5% of 45= 2.25
(I found this by doing 45*5%, or 45*.05)
Now, add 2.25 to 45!
Total bill=47.25 dollars
Hope I could help!
Please find the surface area of the prism... I will mark you brainliest
Answer: 1618 cm^2
The formula to find surface area of a cuboid is 2(ab + bc + ca)
2(19*3.5 + 3.5*33 + 33*19)
--> 1618
Simplify the expression
x - (-2x + 4)
Need help l don’t understand new topic
7x - 2 = 5x + 14
7x - 5x = 14 + 2
2x = 16
x = 16/2
x = 8
______
Hope it helps ⚜
Answer:
x = -8
Step-by-step explanation:
[tex]7x - 2 = 5x + 14 \\ 5x - 7x = 14 + 2 \\ - 2x = 16 \\ \frac{ - 2x}{ - 2} = \frac{16}{ - 2} \\ x = - 8[/tex]
find the value of x. send help friends
Answer:
50
Step-by-step explanation:
they have to add up to 80.
think about them sliding to the main vertex...
v = 128 – 32t
v is the velocity in ft/sec. It is NOT the height of
the ball.
t is the number of seconds after the ball is
thrown.
With what initial velocity is the ball thrown?
128 seconds
s
What is the y-intercept of the equation?
IS
[ Select]
What does the y-intercept mean?
t
[ Select ]
What is the x-intercept of the equation?
[ Select]
What does the x-intercept mean?
Select]
7
10
-
-
с
80°F
Answer: The Y intercept is 128 as well, which is the original velocity. Technically it should be v - intercept but whatever. The y / v intercept is the original velocity. The X intercept should be the t intercept but again whatever. The x/t intercept is 4, meaning that the velocity is zero when t is 4
Step-by-step explanation: y/v intercept is when t = 0. v = 128 - 32(0) = 128
It is the initial velocity at t = 0. The X/t intercept is when v = 0. 0 = 128 - 32t, so 32t = 128, so t = 4. The x intercept means when the velocity is zero, which means that the ball is at its highest/farthest point.
What equation can be written for this graph?
Pls help!!!
Answer:
y = 25x
Step-by-step explanation:
This is a straight line, so the formula is:
y = ax + b
a is the slope and b is the y-intercept.
Slope formula:
a = (y2 - y1)/(x2 - x1)
Select two random points from the line:
Point 1: x=2 and y=50Point 2: x=4 and y=100Slope a = (100 - 50)/(4 - 2) = 50/2 = 25
=> y = 25x + b
Use one of the points to find b:
50 = 25*2 + b
=> b= 0
So the equation is y=25x
Your bill at a restaurant is $68 and you want to leave a %20 tip what is the total amount you will leave
Answer:
$81.6
Step-by-step explanation:
You multiply 0.2 by 68, in which you will get 13.6, and then you add that to 68.
While driving to Aunt Pat’s house we filled up our tank of gas. We traveled 2/5 of the way. How much further do we have to travel?
Answer:
3/5
Step-by-step explanation:
May is going to the grocery store to buy bananas and oranges. The bananas can only be purchased in groups of 65 and the oranges can only be purchased in groups of 5. If May wants to buy the same amount of bananas and oranges, then what is the lowest quantity of bananas that May can buy?
Answer: 1 group 65 bananas
Step-by-step explanation: We want the same number of bananas as oranges so 65 is divisible by 5 which is 13 5s to make 65.
The Wilsons are storing water in case there is a natural disaster. They have 12 small bottles of water that hold 8 ounces each. They also have 4 large bottles of water that hold 24 ounces each. They estimate that they have around 2,000 ounces of water in total. Is that a good estimate?
HELP PLEASE...........
Answer:
B. slope -5, y-intercept (0, 7)
Step-by-step explanation:
The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)
The slope is ...
change in y / change in x
(-13 -7) / (4 -0) = -20/4 = -5 . . . slope
This matches choice B.
SOLVE THIS ASAP PLEASE
(5 + 4 - 2) x (-2) = ?
A. 22
b. -22
c.14
d. -14
What equation matches this graph?
TI
y = 2x + 2
y = 3/2x + 2
y = 1/2x + 2
y = 2/3x + 2
Answer:
y = 1/2x+2
Step-by-step explanation:
first find x intercepts : to find x intercept put 0 in y
1/2x+2 = 0
1/2x= -2
x = -4 the graph shows x intercept at 4
next find y intercept : to find y intercept put 0 into x
=1/2*0+2
=2
the graph shows y crosses at 2.
Answer:
y = 1/2x+2
2. Let f(x) = 4x + 12 and g(x) = 4x2 – 12.
(a) What is the inverse of function f?
(b) Is f an inverse of g? Show your work algebraically and explain your answer
Answer:
Answer:
(a) f^-1(x) = 1/4x -3
(b) f is not the inverse of g
Step-by-step explanation:
(a)The inverse of function f can be found by solving ...
x = f(y)
x = 4y +12
x -12 = 4y
x/4 -3 = y
The inverse of function f is ...
f^-1(x) = 1/4x -3
__
(b)g(x) ≠ f^-1(x), so g^-1(x) ≠ f(x). Function f is not an inverse of g.
_____
Additional comment
Function g is a quadratic, so it doesn't have an inverse function, except on a restricted domain.
Because g is 2nd degree, any inverse relation will involve a 1/2 power (square root). Both f and its inverse are linear functions, so cannot be inverses of g.
through: (3, 5), slope = 5/3
Explain please
Step-by-step explanation how to get answer:
Slope is Rise over Run
Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.
For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.
Help for points please!
Answer:
A) 0
Step-by-step explanation:
15/21 simplifies to 5/7. 5/7-5/7 (itself) is 0.
Answer:
0
Step-by-step explanation:
= [tex]\frac{5}{7}-\frac{5}{7}[/tex]
= [tex]\frac{5-5}{7}[/tex]
= [tex]\frac{0}{7}[/tex]
= [tex]0[/tex]
Solve the inequality. Graph the solution 3x <-5/4 I just need help on graph
Step-by-step explanation:
Solution is already given:
3x ≤ - 5/4x ≤ -5/12Graph the inequality:
1. Select the point - 5/12 on the number line. Count 5 dots starting from zero going left. It is already divided by 12 parts.2. Make it full dot3. Add a line to the left from the dotAnd you are done
So Graph it
Put a close dot on -5/12 as it's ≤ sign givenThen draw a arrow left wards as x is less than the close dotSolve the system of linear equations.
13x+y=1
2x+6y=6
Answer:
x = 0 and y = 1 Solution: (0, 1)
Step-by-step explanation:
13x + y = 1 multiply by -6 ⇔ -78x - 6y = -6
2x + 6y = 6 do not change ⇔ + 2x + 6y = 6
-76x = 0
x = 0
Use the second equation to solve for y if x = 0
2x + 6y = 6
2(0) + 6y = 6
0 + 6y = 6
6y = 6
y = 1 Solution (0,1)
Hey y’all can u please give me the correct answer.
Step-by-step explanation:
-8 - 6x < 1
Bringing like terms on one side
-6x < 1 + 8
-6x < 9
x < 9/-6
x < 3/-2
I think the correct answer is none
What is the slope of the line that passes through the points (-2, -5)(−2,−5) and (-3, -6) ?(−3,−6)? Write your answer in simplest form.
Answer:
0 & 0
Step-by-step explanation:
In order to find the answer to these two questions you need to use the slope formula, substitute, subtract, and simplify if needed.
[tex](-2,-5),(-2,-5) = (x^1,y^1),(x^2,y^2)[/tex]
Slope formula = [tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
Substitute: [tex]\frac{-5--5}{-2--2} =[/tex]
[tex]\frac{-5--5}{-2--2} =-5--5 = 0[/tex]
[tex]-2--2 = -2+2=0[/tex]
[tex]= 0[/tex]
[tex](-3,-6),(-3,-6)=(x^1,y^1),(x^2,y^2)[/tex]
[tex]m=\frac{-6--6}{3--3}[/tex]
[tex]-6+6=0[/tex]
[tex]-3+3=0[/tex]
[tex]=0[/tex]
Hope this helps.
A curve is represented by x = 3sec θ, y = 3tan θ where 0 < θ < /2.
Which of the following is the y intercept of the tangent to the curve at (2√3, √3)?
Applying derivative concepts, the y-intercept of the line tangent to the curve at (2√3, √3) is: [tex]y = \sqrt{3}[/tex]
The equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
In which:
There is a point [tex](x_1, y_1)[/tex].The slope is [tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}}[/tex]In this problem, point [tex](2\sqrt{3}, \sqrt{3})[/tex], hence [tex]x_1 = 2\sqrt{3}, y_1 = \sqrt{3}[/tex]
To find the value of [tex]\theta[/tex], we have that:
[tex]3\tan{\theta} = \sqrt{3}[/tex]
[tex]\tan{\theta} = \frac{\sqrt{3}}{3}[/tex]
[tex]\theta = \frac{\pi}{6}[/tex]
Then, for the slope:
[tex]\frac{dy}{d\theta} = 3\sec^{2}{\theta}[/tex]
[tex]\frac{dx}{d\theta} = 3\sec{\theta}\tan{\theta}[/tex]
Considering [tex]\theta = \frac{\pi}{6}[/tex]:
[tex]\frac{dy}{d\theta} = 3\left(\frac{2}{\sqrt{3}}\right)^2 = 2[/tex]
[tex]\frac{dx}{d\theta} = 3\left(\frac{2}{\sqrt{3}} \times \frac{\sqrt{3}}{3}\right) = 2[/tex]
[tex]m = \frac{\frac{dy}{d\theta}}{\frac{dx}{d\theta}} = 1[/tex]
Then, the equation of the line is:
[tex]y - y_1 = m(x - x_1)[/tex]
[tex]y - \sqrt{3} = x - 2\sqrt{3}[/tex]
[tex]y = x - \sqrt{3}[/tex]
The y-intercept is the value of y when x = 0, hence:
[tex]y = \sqrt{3}[/tex]
A similar problem is given at https://brainly.com/question/22426360
5i/x-5i what is the simplest form?
51/x - 5i
this is the answerrrr
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
21.6 ft
Step-by-step explanation:
Similar Triangles
6/10=B/36
B=21.6
Read the sentences.
Carlos wanted to go to the arcade so badly, but his father said he had to do his homework first. His father wouldn't budge on his decision.
A synonym for the word budge is change. What does the word budge mean as it is used in this sentence?
To keep
To bend
To disagree
To entertain
Answer:
To Bend I would say.
Step-by-step explanation:
Because he wants to get out of the stituration and go to the arcade. But he needs to change he father's mind to go. So he needs to Bugde or Bend his father's decision to let him go to the arcade.
Evaluate. 4/9 + 4/5 (2/3)^2 Write your answer in simplest form.
Answer: 25/27
Step-by-step explanation:
4/9 + 4/5 (2/3)^2
4/9 + (4/5)(4/9)
4/9 + (16/54)
24/54 + 16/54
50/54
25/27
Answer:4/5
Step-by-step explanation:
Help required. Struggling sm with flowcharts, shapes, etc., and I have a test on them tomorrow
The given quadrilateral PQRS do not have the properties of a parallelogram, but that of a square. Because we are to prove that its consecutive sides are congruent i.e : QP ≅ QR.
The required proofs are stated below:
Statement Reason
1. <SPR ≅ <PRQ Alternate angle property
2. PT ≅ TR Definition of a mid-point
3. <PTS ≅ <QTR ≅ [tex]90^{o}[/tex] Perpendicular bisector property
4. ST ≅ TQ Mid-point of a segment
5. PQ ≅ SR Opposite side congruent property
6. ΔPQs ≅ ΔQRS Side-Angle-side (SAS) property
7. <PQR ≅ <SPQ Right angle property
8. PQ ≅ QR Congruent consecutive side property
Therefore given that PQ ≅ QR, then the given quadrilateral is a square.
Visit: https://brainly.com/question/16899603
Define Equilateral, isosceles and scalene triangles.
Answer:
Equilateral triangles have 3 congruent angles, measuring 60 degrees each. Isosceles triangles have 2 congruent angles, and scalene triangles have no congruent angles.
Step-by-step explanation:
Please Help I will vote Brainliest!
Hank has read 25 percent of his book. If Hank has read 150 pages, which equation can be used to find the total number of pages in the book?
StartFraction 25 times 6 Over 100 times 6 EndFraction = StartFraction 150 Over 600 EndFraction
StartFraction 100 times 4 Over 25 times 4 EndFraction = StartFraction 400 Over 100 EndFraction
StartFraction 25 divided by 1 Over 150 divided by 1 EndFraction = StartFraction 25 Over 150 EndFraction
StartFraction 150 divided by 2 Over 100 divided by 2 EndFraction = StartFraction 75 Over 50 EndFraction
Answer:
x = 600 pages
Step-by-step explanation:
Let the total books pages be x
Given that
Hank had read = 25% of x
25% of x = 150
=>
Multiplying both sides by 4
=> x = 150 * 4
=> x = 600 pages
Step-by-step explanation:
There you go.
Answer:
C
Step-by-step explanation:
Jane went to get her hair cut and colored before Christmas. The hair stylist told her it would cost $80, but Jane wanted to leave a 15% tip how much would her tip amount be how much will it cost her including the tip
Answer:
12$ tip together is will be 92$
Step-by-step explanation: