Answer:
[tex]y = 36 - \frac{3}{4}x[/tex]
Step-by-step explanation:
The missing parameters are:
[tex]h = 36in[/tex] --- height of rails
The rate of decrement is: 9 [tex]inches[/tex] for [tex]every[/tex] 12 [tex]horizontal[/tex] [tex]inches.[/tex]
Required
The function
First, we represent the rate (r) as a fraction.
[tex]r = -\frac{9}{12}[/tex] ---- negative, because it decreases
Simplify
[tex]r = -\frac{3}{4}[/tex]
So, the function is:
[tex]y = h + r * x[/tex]
Where:
[tex]x \to[/tex] distance from top
So, we have:
[tex]y = 36 - \frac{3}{4}x[/tex]
5. In the triangle ABC, M is the midpoint of [AB] and N is the midpoint of [CM].
Find the coordinates of N. Given that A(-1,3), B(7.-3) and C(1,6).
Answer:
The coordinates of the point N is (2,3)
Step-by-step explanation:
For us to find the midpoint between two points
We use the midpoint formula which is;
(x,y) = (x1 + x2)/2, (y1 + y2)/2
We start by finding the midpoint of AB to get the coordinates of the point M
A(-1,3) and B(7,-3)
(x,y) = (-1 + 7)/2, (3-3)/2 = (6/2,0/2) = (3,0)
Now that we have the coordinate of M, we can find the midpoint of CM to get the coordinates of N
C(1,6) and M (3,0)
(x,y) = (1 + 3)/2, (6+0)/2 = (4/2, 6/2) = (2,3)
Please, can I get help?
Answer:
a- 14,11
b-13,63
Step-by-step explanation:
What is the slope of the line? y+5=2(x+1)
Answer:
2
Step-by-step explanation:
Convert the equation to slope-intercept form:
[tex]y+5=2(x+1)\\y+5=2x+2\\y=2x-3[/tex]
Therefore, the slope of the line is 2.
Answer:
2
Step-by-step explanation:
y+5=2(x+1) will turn into y=2x-3. Then you can see that the slope is 2 because 2x is = mx and m is slope.
A shoe repairman is working with his assistant, who takes 1.5 times as long to repair a pair of shoes.
Together they can fix 10 pairs of shoes in six hours. How long does it take the repairman to fix one pair
of shoes by himself?
Answer:
1/2 or 0.5 hours
Step-by-step explanation:
r = time for repairman to fix one pair of shoes.
a = time for assistant to fix one pair of shoes.
a = r×1.5
x×r + y×a = 6
x = number of pairs of shoes repaired by repairman.
y = number of pairs of shoes repaired by assistant.
x+y = 10
y = 10-x
x = y×1.5 (based on the a/r ratio : as the assistant needs 1.5 times longer, the repairman will have repaired 1.5 times more pair of shoes in the same time)
y = 10 - y×1.5
y + y×1.5 = 10
2.5×y = 10
y = 4
=> x = 6
6×r + 4×r×1.5 = 6
6×r + 6×r = 6
12×r = 6
r = 6/12 = 1/2 or 0.5 hours
You use the Internet to purchase 9 tickets for a concert The tickets are $22 each you have to play a handling fee of $3 per ticket and a shipping fee of $5 for the entire order. Use a problem solving plan to find your total cost.
Answer: $206
Step-by-step explanation: 9(22)+8. 9 is the 9 tickets 22 is the cost of each ticket so they multiply to find the total cost of all tickets. and 8 from shipping and handling.
The equation C = 20n + 35 represents the relationship between the cost of school volleyball uniforms,
C, in dollars, and the number of uniforms ordered, n.
The uniform company requires that the school order a minimum of 15 uniforms.
The school has a maximum of $600 to spend on the uniforms.
Determine the possible values for n and C in this situation
.
Answer:
Given the equation
C = 20n + 35We need:
n ≥ 15 and C ≤ 600following
20n + 35 ≤ 60020n ≤ 565n ≤ 565/20n ≤ 28 (rounded to the whole number)Considering that n ≥ 15, we have:
15 ≤ n ≤ 28And the cost is going to be:
20*15 + 35 ≤ C ≤ 20*28 + 35335 ≤ C ≤ 595Lucas suele gastar $150 en gaseosas al mes, pero, para cuidar su salud decidió dejar de consumir gaseosas ¿cuánto dinero a dejado de gastar en cinco meses?
Answer:
$750
Step-by-step explanation:
Primero, Lucas gastaba $150 cada mes en gaseosas.
Al decidir cuidar su salud, deja de comprar gaseosas, entonces ya no gasta esos $150 al mes.
Es decir, a dejado de gastar $150 al mes.
Nosotros queremos saber:
¿cuánto dinero a dejado de gastar en cinco meses?
Bueno, si en un solo mes a dejado de gastar $150
En 5 meses a dejado de gastar 5 veces esa cantidad, que es:
5*$150 = $750
Figure B is a scaled copy of Figure A.
Figure A
14
Figure B
56
16
7
64
28
What is the scale factor from Figure A to Figure B?
Answer:
4
Step-by-step explanation:
Notice each side was increased by 4 times
You can set up a ratio of
[tex]\frac{new}{old}[/tex]
then reduce or divide
13. The function y=16 cos(x)+k has a minimum value of -4. What is its maximum value? Explain.
Answer:
It's maximum value is 28.
Step-by-step explanation:
Cosine function:
The cosine function has the following format:
[tex]f(x) = A\cos{x}[/tex]
The difference between the maximum and minimum point is 2A.
y=16 cos(x)+k
A = 16, so 2A = 32.
Minimum value of -4. What is its maximum value?
[tex]M - (-4) = 32[/tex]
[tex]M + 4 = 32[/tex]
[tex]M = 32 - 4 = 28[/tex]
It's maximum value is 28.
Question 7 of 10
Classify the following triangle. Check all that apply.
109
15
14
D A. Right
B. Equilateral
O C. Acute
D D. Scalene
O E. Isosceles
M F Obtuse
Answer:
A & D
Step-by-step explanation:
A. acute because all angles are less than 90 degrees
D. scale because all sides have different
if you look up the definition of the properties you will see they don't apply
Answer:
F.Obtuse angle
because the angles are between 90-180
The expression \sqrt[3]{3}\cdot \sqrt[5]{3^6}
3
3
⋅
5
3
6
is equivalent to
By simplifying the given expression, the expression [tex]\sqrt[3]{3}[/tex] * [tex]\sqrt[5]{3^6}[/tex] is equivalent to [tex]3^(23/15).[/tex]
How to find equivalent valueTo simplify the given expression, combine the two radicals using the property of exponentiation.
First, simplify the expression inside the second radical:
√[5]{[tex]3^6[/tex]}
Since the index is 5, rewrite the expression as:
[tex](3^6)^(1/5)[/tex]
Using the property of exponentiation, multiply the exponents:
[tex]3^(6/5)[/tex]
Now combine this result with the first radical:
[tex]3\sqrt3 * 3^(6/5)[/tex]
Since ∛3 can be written as [tex]3^(1/3)[/tex], rewrite the expression as:
[tex]3^(1/3) * 3^(6/5)[/tex]
To multiply two numbers with the same base, add the exponents:
[tex]3^(1/3 + 6/5)[/tex]
To simplify further, we need a common denominator for the fractions:
[tex]3^(5/15 + 18/15)[/tex]
Combining the fractions:
[tex]3^(23/15)[/tex]
Therefore, the given expression is equivalent to [tex]3^(23/15).[/tex]
Learn more on equivalent on https://brainly.com/question/2972832
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During a game of pool near hit a ball and it follow the path from B to C and then to de- the angles formed by the path of congruent to the nearest 10th of an inch which of the following represents the total distance the ball travels before it stopped at point D
Answer:
please mark me as brainleast
Complete the table fraction | decimal
Answer:
1/5=0.2
0.3=3/10
1/2=0.5
7/10=0.7
3/4=0.75
Find x in circle O. Figure is not drawn to scale. HURRY PLEASE
Answer:
B. 23,5
Step-by-step explanation:
Find the volume of a right circular cone that has a height of 18.8 m and a base with a
radius of 19.3 m. Round your answer to the nearest tenth of a cubic meter.
Step-by-step explanation:
Height of the right circular cone = 18.8 metres
And base is 19.3 metres
Volume of the right circular cylinder is given by,
= πr²h
= 3.14 × (19.3)² × 18.8
= 21999.98(approx.) cubic metre
Rounding off nearest tenth
= 21999 cubic metres
The volume of the right circular cone is 280,199.5 m³
What is a right circular cone?
'A right circular cone is a cone where the axis of the cone is the line meeting the vertex to the midpoint of the circular base.'
According to the given problem,
Height = 18.8 m
Radius = 19.3 m
Volume of right circular cone = [tex]\frac{\pi r^{2}h }{3}[/tex]
= [tex]\frac{\pi * 19.3^{2} * 18.8}{3}[/tex]
= 280199.499 m³
= 280199.5 m³
Hence, we can conclude that the volume of the right circular cone is 280199.5 m³.
Learn more about right circular cone here: https://brainly.com/question/16655425
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1-x/11 [tex]1-x/11 =6\\[/tex]=6
Given:
Consider the equation is:
[tex]\dfrac{1-x}{11}=6[/tex]
To find:
The value of x.
Solution:
We have,
[tex]\dfrac{1-x}{11}=6[/tex]
After multiplying both sides by 11, we get
[tex]1-x=66[/tex]
[tex]-x=66-1[/tex]
[tex]-x=65[/tex]
Multiply both sides by -1.
[tex]x=-65[/tex]
Therefore, the value of x is -65.
please help asap ill give brainliest
Answer:
384 ft, this is the required answer
Answer:
area of shaded part = 512 ft^2
Step-by-step explanation:
find area of rectangle
length = 32 +8
=40 ft
breadth = 8 + 8
=16 ft
area of rectangle = l*b
=40*16 ft
=640 ft
since there are two square .we should find the area of two sqaure.
length = 8 ft
area of square = l^2
=8^2
=64 ft^2
area of another square = l^2
=8^2
=64 ft^2
area of shaded part = area of rectangle - (area of square + area of square)
=640 -(64 + 64) ft^2
=640 - 128 ft^2
=512 ft^2
YALL REALLY NEED TO
HELP MEEEE
determine if the triangles are similar. Why are they similar or not similar ?
please show work
Answer:
Not similar
Step-by-step explanation:
In triangle MLN & WXY,
Right angles - > 1
There is nothing common in these 2 triangles other than (1)
Therefore,
Not similar
Joseph and Mark have $230. Joseph and Kevin have $130. Mark had 3 times as much money as Kelvin. How much money does Kelvin have?
Answer:
Step-by-step explanation:
Let's call Joseph "J", Mark "M", and Kevin "K" for ease. We need a system of equations to solve this, 3 equations for 3 unknowns. The first equation is
J + M = 230. The second equation is
J + K = 130. The third equation is
M = 3K. Sub that 3K into the first equation and get
J + 3K = 230. Now take th second equation and solve it for J:
J = 130 - K. Now sub 130 - K into the re-written first equation to get a whole new equation in terms of K only:
130 - K + 3K = 230 and
2K = 100 so
K = 50
Kevin has $50
Hihi , please help if able.
Answer:
Option c
Step-by-step explanation:
multiply the expression in the parentheses by 4 and you get 12x+16
a doesn't fit, x³ is x*x*x, not plus
b 14x-2x is 12x, not 16x
d got a 5x expression with no correspondence on the other side and 12x² isn't 17x²
Find the area of this triangle in square centimeters .
Step-by-step explanation:
The answer is 24 I think.
using the formula for finding the area of a triangle, which is....
Area= b times height divided by 1/2 or 2
First step is to multiply 6 which is the base by the height 8 to get 48. Then 48 divided by 2 is 24.
Step-by-step explanation:
the area of the triangle can be find by using the heron's formula...
that is:
√s-a×s-b×s-c
So,
a=8cm,b=6cm,c=10cm
Semi perimeter= 8+6+10/2=24/2=12
√12(12-8)(12-6)(12-10)
=√12×4×6×2
=√ 2×2×3×2×2×2×3×2
= √2×2×2×3
= 12 cm...
A rectangle has a perimeter of 54 cm. It has a length of 15 cm. What is its area? *
the area is 180 cm. to find the perimeter you would do 15+15+14+14 to get 54 cm. So for area you do (l×w) which is 15×14=180.
A car travels 22 miles for every gallon of gasoline used. The table below represents this relationship
Answer:
the answer would be 1/22 = x/3
Step-by-step explanation:
because 1 gallon of gasoline got him to travel 22 miles so your trying to solve for x for 3 gallons
Please help I’ll give brainliest
Answer:
Option A
Step-by-step explanation:
Please Mark me brainliest
Let $z$ and $w$ be complex numbers satisfying $|z| = 5, |w| = 2,$ and $z\overline{w} = 6+8i.$ Then enter in the numbers \[|z+w|^2, |zw|^2, |z-w|^2, \left| \dfrac{z}{w} \right|^2 \]below, in the order listed above. If any of these cannot be uniquely determined from the information given, enter in a question mark. Don't even know where to start.
I got 49 for the first one, 100 for the second one, 9 for the 3rd one, and 6.25 for the 4th one. But it was wrong, so I don't know how to do this question.
Answer:
1st entry: 41
3rd entry: 17
Step-by-step explanation:
The 1st and 3rd entry are incorrect.
We will use the following for the 1st and 3rd:
[tex]|z+w|=|z|^2+|w|^2+2R(z\overline{w})[/tex]
[tex]|z-w|=|z|^2+|w|^2-2R(z\overline{w})[/tex]
where [tex]R(z\overline{w})[/tex] means 'real part of [tex]z\overline{w}[/tex]'.
Let's do part 1 now)
25+4+2(6)
29+12
41
Let's do part 3 now)
25+4-2(6)
29-12
17
Amanda works as a hostess at Red Robin on weekday nights and at the Pix movie theatre on the weekends. Amanda’s pay at Red Robin is 11.50ℎ+0.25+10and her pay at the Pix is 10.50ℎ+0.5−20. Find the polynomial that would represent Amanda’s total earnings from her two jobs.
Answer:
22h−9.25
Step-by-step explanation:
6th grade math help me pleaseeee
Answer:
i think C because both of the percentages shown should get what the question is asking
Step-by-step explanation:
The doll was considered a "feminine" toy. Do these data provide convincing evidence that the mean percentage of the time spent playing with the doll is greater for female monkeys than for male monkeys?
Answer:
yes it does because men comes before women
SAT A bag contains 3 red marbles, 2 green
marbles, and 4 blue marbles. One marble is
randomly drawn and replaced. Then a second marble
is drawn. Find the probability of drawing three blue
marbles.
Answer:
[tex] \frac{1}{21} [/tex]
Step-by-step explanation:
refer to solution in picture
Which function is graphed below?
Answer:
[tex]g(x)=\sqrt{x+2}[/tex]
Step-by-step explanation:
Parent function of the given graph is,
f(x) = [tex]\sqrt{x}[/tex]
If the parent function is shifted 2 units to he left the new function or image function will be,
g(x) = [tex]\sqrt{x+2}[/tex]
Therefore, graph will represent the graph of the function g(x) = [tex]\sqrt{x+2}[/tex].