A fish swimming at the same depth as the hook at the end of her fishing line in s 60 feet away
Answer:
.
Step-by-step explanation:
11. The student council is comparing prices for their semi-formal dance. They compare banquet. Hall A charges $40 per person. Hall B charges $20 per person plus $500 fixed fee. Write an equation to represent the relationship between the total cost and the number of people, if the variables are defined as follows:
Answer:
TC (A) = 40x , TC (B) = 500 + 20x
Step-by-step explanation:
Let the number of students be = x
Hall A Total Cost
Relationship Equation, where TC (A) = f (students) = f (x) 40 per person (student) = 40x
Hall B Total Cost
Relationship Equation, where TC (B) = f (students) = f (x) 500 fix fee & 20 per person (student) = 500 + 20x
(a) Construct, using a compass and straightedge, the midpoint of UV and label it M. Then
draw TM, the median from 2T to side UV.
(b) Prove algebraically that the median TM is not perpendicular to UV. Explain.
Please helpppppp
Step-by-step explanation:
a) for the first part, you take your compass and stretch it more than halfway on to line UV. Place the fixed point at V and draw a curve. make sure you keep your compass the same size, put the fixed part of your compass on point U and draw a curve again. both curves should go both upward and downward. Now, your curves should meet at two points. use your straight edge to draw the line that meets at both points. I have drawn an example of what it should approximately look like. for the second part you are simply using your straight edge to draw a line from T down to the median M you previously found. I have drawn a second picture to show you.
b) now to check if they are perpendicular, we must find the slope of each line. I will not be able to do this accurately since I didn't use an exact method to find M, so you must follow my steps.
Step 1: find the slope of UV. To do so, we must take two points from the line. I will take points U and V because they are easiest to see. To find the slope, we can use the equation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
where m is the slope.
so, let's define our points.
Point V is (4,4), let's call this point one.
Point U is (14,6), let's call this point two.
So,
x1= 4
y1= 4
and
x2= 14
y2= 6
now, we can plug these into our slope equation.
[tex]m = \frac{6 - 4}{14 - 4} = \frac{2}{10} = \frac{1}{5} [/tex]
You must then use the points T and M in order to solve the second slope. Where T is (2,12). I will keep M as (x1, y1) for now.
The equation should then look like:
[tex]m = \frac{2 - y1}{12 - x1} [/tex]
now, in order for it to be perpendicular to our original slope, it must be the opposite reciprocal, which is the number flipped and made negative. The opposite reciprocal of 1/5 will be -5.
It should NOT be, as we have been told. So, we can state:
"I know that TM is not perpendicular to UV because the UV has a slope of 1/5 and TM has a slope of x, which is NOT the opposite reciprocal on 1/5."
Hope this helps! :)
Explain what the equation 3x = 6 means without using the word equal. Explain why 2 is a solution of the equation.
Answer:
See explanation
Step-by-step explanation:
Given
[tex]3x = 6[/tex]
Solving (a): What the expression means
3 when multiplied by x, gives 6
Solving (b): Why 2 is the solution
We have:
[tex]3x = 6[/tex]
Divide both sides by 3
[tex]\frac{3x}{3} = \frac{6}{3}[/tex]
[tex]x = \frac{6}{3}[/tex]
[tex]x = 2[/tex]
Use the data to answer the question.
28, 32, 36, 37, 39, 41, 41, 43, 45
What is the median of the data?
OA 37
B. 38
Oc. 39
D
41
Answer:
c. 39
Step-by-step explanation:
you have to find the middle of this. 39 is the middle.
help pleaaseeeeeeeee..
Answer:
Step-by-step explanation:
Rectangle 4 sides, 4 right angles, and opposite Parallel sides
Rhombus 4 sides, all sides equal length, and 4 acute angles.
I am 100% positive this answer is correct plz mark as brainliest
A rectangular ink pad is 10 centimeters tall and 15 centimeters wide.
What is its area?
Answer:
15000000000000000000000000000000000000000000
Step-by-step explanation:
Answer:
150 centimeters
Step-by-step explanation:
just multiply!
hope this helps :)
Give the most specific name for the quadrilateral. Explain your reasoning.
Answer:
Kite because it has two pairs of opposite sides and opposite angles that are equal .
You are jumping off the 12 foot diving board at the municipal pool. You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by h(t)=-16t^2+6t+12
When do you hit the water?
What is your maximum height?
Answer:
When do you hit the water?
1.075 seconds after you jump.
What is your maximum height?
the maximum height is 12.5626 ft
Step-by-step explanation:
The equation:
h(t) = -16*t^2 + 6*t + 12
Is the height as a function of time.
We know that the initial height is the height when t = 0s
h(0s) = 12
and we know that the diving board is 12 foot tall.
Then the zero in h(t)
h(t) = 0
Represents the surface of the water.
When do you hit the water?
Here we just need to find the value of t such that:
h(t) = 0 = -16*t^2 + 6*t + 12
Using the Bhaskara's formula, we get:
[tex]t = \frac{-6 \pm \sqrt{6^2 - 4*(-16)*12} }{2*(-16)} = \frac{-6 \pm 28.4}{-32}[/tex]
Then we have two solutions, and we only care for the positive solution (because the negative time happens before the jump, so that solution can be discarded)
The positive solution is:
t = (-6 - 28.4)/-32 = 1.075
So you hit the water 1.075 seconds after you jump.
What is your maximum height?
The height equation is a quadratic equation with a negative leading coefficient, then the maximum of this parabola is at the vertex.
We know that the vertex of a general quadratic:
a*x^2 + b*x + c
is at
x = -b/2a
Then in the case of our equation:
h(t) = -16*t^2 + 6*t + 12
The vertex is at:
t = -6/(2*-16) = 6/32 = 0.1875
Evaluating the height equation in that time will give us the maximum height, which is:
h(0.1875) = -16*(0.1875 )^2 + 6*(0.1875) + 12 = 12.5626
And the height is in feet, then the maximum height is 12.5626 ft
You hit the water 1.075 seconds after you jump.
The maximum height is 12.56.
Given that,
You are jumping off the 12-foot diving board at the municipal pool.
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
We have to determine,
When do you hit the water?
What is your maximum height?
According to the question,
You bounce up at 6 feet per second and drop to the water your height h (in feet) above the water in terms of t seconds is given by,
[tex]\rm h(t)=-16t^2+6t+12[/tex]
1. The initial height is the height when t = 0 second,
[tex]\\\rm h(t)=-16t^2+6t+12\\\\\rm h(0)=-16(0)^2+6(0)+12\\\\ h(0) = 12[/tex]
And the diving board is 12 feet tall.
Then the zero in h(t)
h(t) = 0
When h(t) = 0 represent the surface of the water,
[tex]\rm h(t)=-16t^2+6t+12\\\\\rm -16t^2+6t+12 =0\\\\8t^2-3t-6=0\\\\x = \dfrac{-(-3)\pm \sqrt{(-3)^2-4\times8\times(-6)}}{2\times 8}}\\\\x = \dfrac{3\pm \sqrt{9+192}}{16}}\\\\x = \dfrac{3\pm \sqrt{201}}{16}}\\\\x = \dfrac{3\pm 14.77}{16}}\\\\ x = \dfrac{3+14.77}{16} \ and \ x = \dfrac{3-14.77}{16} \\\\x = \dfrac{17.77}{16} \ and \ x = \dfrac{-11.77}{16} \ \\\\ x = 1.075 \ and \ x = -0.855[/tex]
The value of x can not be negative then the value of x is 1.075.
Therefore, you hit the water 1.075 seconds after you jump.
2. The maximum height is reached by you, you first derivative the function h(t) with respect to t:
[tex]\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2+6t+12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = \dfrac{d(-16t^2)}{dt} +\dfrac{d(6t)}{dt}+\dfrac{d(12)}{dt}\\\\\rm \dfrac{dh(t)}{dt} = 2\times (-16t) + 6\times 1+0\\\\ \dfrac{dh(t)}{dt} = -32t+6\\\\[/tex]
To find the maximum height the value first derivative is equal to zero.
[tex]\rm \dfrac{dh(t)}{dt} = 0\\\\-32t+6=0\\\\-32t=-6\\\\t = \dfrac{6}{32}\\\\t = \dfrac{3}{16}\\[/tex]
Substitute the value of t in the equation to find the maximum height,
[tex]\rm h(\dfrac{3}{16})=-16(\dfrac{3}{16})^2+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-(\dfrac{9}{16})+6(\dfrac{3}{16})+12\\\\ h(\dfrac{3}{16})=-\dfrac{-9}{16}+\dfrac{18}{16}+12\\\\ h(\dfrac{3}{16})= \dfrac{-9+18+192}{16} \\\\ h(\dfrac{3}{16}) = \dfrac{201}{16}\\\\h(\dfrac{3}{16}) = 12.56[/tex]
Hence, The maximum height is 12.56.
For more details refer to the link given below.
https://brainly.com/question/20120328
Write the equation of the parabola in vertex form.
vertex(2,1),points (1,-4)
F(x)=?
Step-by-step explanation:
The general vertex form is given by
[tex]y = a {(x - h)}^{2} + k[/tex]
where (h, k) is the vertex and a is a constant. So we can write the y as
[tex]y = a {(x - 2)}^{2} + 1[/tex]
To find the value of a, substitute the point (1, -4)
-4 = a(1 - 2)^2 + 1
or a = -5
Therefore, the vertex form of the parabola is
[tex]y = - 5 {(x - 2)}^{2} + 1[/tex]
Vincent gathered groups of 1 to 8 people and gave every group the same puzzle to solve. He recorded the number of minutes it took each group to solve the puzzle and plotted the results.
Answer:
Larger groups tends to take less time to solve the puzzle.
Step-by-step explanation:
It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.
From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.
Answer:
B
Step-by-step explanation:
Khan Academy says so
In April, it rained 5 inches. In June, it rained 0.25 inch.
How many more inches did it rain in April?
et f(x)=2\ln(x+4)f(x)=2ln(x+4)f, left parenthesis, x, right parenthesis, equals, 2, natural log, left parenthesis, x, plus, 4, right parenthesis and let g(x)=\dfrac23x+1g(x)= 3 2 x+1g, left parenthesis, x, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1. The graph of y=f(x)y=f(x)y, equals, f, left parenthesis, x, right parenthesis is shown below. Use the interactive graph to sketch a graph of y=g(x)y=g(x)y, equals, g, left parenthesis, x, right parenthesis. LinearAbsolute_valueQuadraticExponentialLogarithm Let x_1x 1 x, start subscript, 1, end subscript and x_2x 2 x, start subscript, 2, end subscript be solutions of \,2\ln(x+4)=\dfrac23x+12ln(x+4)= 3 2 x+12, natural log, left parenthesis, x, plus, 4, right parenthesis, equals, start fraction, 2, divided by, 3, end fraction, x, plus, 1, where x_1
Answer:
x=-3.5 , the points of the graph are 0,1 and 3,3
Step-by-step explanation:
Suppose that 13 inches of wire costs 78 cents.
At the same rate, how much (in cents) will 7 inches of wire cost?
Answer:
$0.42
Step-by-step explanation:
create a proportion:
13/.78 = 7/x
cross-multiply to get:
13x = 7(.78)
13x = 5.46
x = 5.46/13
x = .42
Rotate and find the reference angle for 207°.
Angle: 0°
y
Quadrant II
90°
Quadrant 1
180°
L0/360°
Quadrant III
270°
Quadrant IV
Answer:
Quadrant III
Step-by-step explanation:
Quadrant I = 1 - 90°
Quadrant II = 91 - 180°
Quadrant III = 181 - 270°
Quadrant IIII = 271 - 360°
What is the value of x? (Geometry)
Answer:
3x-5+6x+14=180
9x+9. =180
9(X+1).= 180
X+1. =20
X= 19
The base edge of the regular triangular pyramid is b=10 cm and altitude of the base hb ≈ 8.66 cm. The slant height of the pyramid is k=8 cm. Find: a Lateral area of the pyramid
Answer:
Lateral Area: 120
Surface Area: 163.3
Pls hurry , timed test
Answer:
c
Step-by-step explanation:
Please help i'm really stuck!
Answer:
Step-by-step explanation:
3x + 4y = 12
4y = -3x +12
y = (-3/4)X + 12/4
y = -[tex]\frac{3}{4}[/tex]X + 3
What is the measure of x?
Answer:
Hello! answer: x = 68
Step-by-step explanation:
This is a complementary angle meaning it will add up to 90 degrees 90 - 22 = 68 therefore x = 68 HOPE THAT HELPS!
Out of a group of 20 volunteers, 14 people are chosen to participate in a survey about the number of hours of television they watch each week. What is the sample in this situation?
Answer:
Step-by-step explanation:
im ka$hdami a 16yr old rapper i made the viral songs (reperations) (Look N the Mirror) and (Kappin Up) check out my new songs out on all platforms
Someone pls tell me the answer to this5(6.2+z);z=3.8
Answer:
30.2 is the answer (use distrubutyion in this problem)
Step-by-step explanation:
Marcia walked 900 meters on Friday. On Saturday, she walked 4 kilometers, On Sunday, she walked 3 kilometers,600 meters. How many kilometers did Marcia walk over all three days? Pls help!
Answer:8.5km
Step-by-step explanation:
Liam writes a number sequence starting with 7, 12, 17
Answer:
the sequence is adding 5 the next number would be 22
hope this helps
have a good day :)
Step-by-step explanation:
7, 12, 17, 22, 27 . . . (5n + 2)
n = 1, => 7
n = 2, => 12
n = 3, => 17
n = 4, => 22
can someone please help i need this done soon
V= 4 i mean thats the best i can give sorry good luck pretty sure its right
I’ll give brainliest
Completed a full explanation of statistics with explanation and examples ?
Answer: Hope This Helps!
Step-by-step explanation:
Statistic Definition: A mathematical science concerned with data collection, presentation, analysis, and interpretation
Examples: "Statistics is the only mathematical field required for many social sciences." and "The statistics from the Census for apportionment are available."
Which function has a maximum that is greater than the maximum of the graph g(x)?
O y = (x + 3)2 + 2
y=-5 (x+3)2 + 4
O y=- } (x - 2)2 +3
O
y = (x - 2)2 + 4
Question #5
Charles cut a slice from a circular pizza with the diameter shown below.
Pizza
15 inches
The slice has an arc length of 21.5 inches along the crust. What is the approximate measure of the
central angle of the slice of pizza Charles cut?
A) 82
B) 164
C) 196
D) 278°
Answer:
Step-by-step explanation:
The approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.
What is the Length of an Arc?The arc length of a circle can be calculated with the radius and central angle using the arc length formula.
Arc length = ∅/360 × 2πr
Given that pizza is 15 inches the slice has an arc length of 21.5 inches along the crust.
Use the formula above to calculate the value:-
Arc length = ∅/360 × 2πr
21.5 = ∅/360 × 2π ( 7.5 )
∅ = ( 21.5 x 360 ) / 2π ( 7.5 )
∅ = 164 degrees
Therefore, the approximate measurements of the central angle of the slice of pizza Charles cut will be 164 degrees. The correct option is B.
Learn more about the arc length on:
brainly.com/question/2005046
#SPJ5
hii please help i’ll give brainliest
15 points !!! will mark brainiest if you get correct !!!
determine wether each sequence is arithmetic or geometric. find the next three terms.
(question) 14, 19,24, 29, . . .
A: geometric, 34, 39, 44
B: arithmetic, 32, 36, 41
C: arithmetic, 34, 39, 44
D: the sequence is neither geometric nor arithmetic.
(question) -4, 8, -16, 32, . . .
A: arithmetic, 64, 128, 256
B: geometric, -64, 128, -256
C: geometric, -48, 64, -80
D: the sequence is neither geometric nor arithmetic.
(question) 81, 27, 9, 3, . . .
A: arithmetic, 0, -3, -6
B: geometric, 0, -3, -6
C: geometric, 1, 1/3, 1/9
D: the sequence is neither geometric nor arithmetic.
Step-by-step explanation:
1. C:arithmetic, 34, 39, 44
2. B: geometric, -64, 128, -256
3. C: geometric, 1, 1/3, 1/9