Answer:
Physical Property
Step-by-step explanation:
Physical Property. A physical property is a characteristic of a substance that can be observed or measured without changing the identity of the substance. Silver is a shiny metal that conducts electricity very well.
4/3*(1/2-6)=(4/3*1/2)-(4/3-6)
Answer:
The product would be: -22/3 = 16/3, if true or false: false the left side -7.3 does not equal to the right side 5.3 which means the given statement is false, if it is evaluated -22/3 = 16/3, if multiplied it would still be -22/3 = 16/3 (you never said how to solve it so here are ways)
A cylinder has a radius of 4 millimeters. Its volume is 200.96 cubic millimeters. What is the height of the cylinder?
Answer:
3.999 millimeters.
Step-by-step explanation:
To find the height of the cylinder, we can use the formula for the volume of a cylinder:
V = πr²h
Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).
200.96 = π(4²)h
200.96 = 16πh
To solve for h, we can divide both sides of the equation by 16π:
200.96 / (16π) = h
Using a calculator, we can calculate the approximate value of h:
h ≈ 200.96 / (16 × 3.14159)
h ≈ 3.999
Therefore, the height of the cylinder is approximately 3.999 millimeters.
If h(x)=4x^3 -6x^2 +7x-7, what is h(-5)
Answer:
-92
Step-by-step explanation:
4(-5)^2 - 6(-5)^2 + 7(-5)-7
4(25) --6(25) - 35 - 7
100-150 - 35 -7
= -92
which terms are like terms in the expression 5x + 9 + (-7x)
Answer:
5x and -7x
Step-by-step explanation:
they both end in the variable "x"
Find the value of x
8,
9,
7,
10
The value of x in this problem, considering the intersecting chords, is given as follows:
x = 10.
How to obtain the value of x?A chord of a circle is a straight line segment that connects two points on the circle, that is, it is a line segment whose endpoints are on the circumference of a circle.
When two chords intersect each other, then the products of the measures of the segments of the chords are equal.
Hence the value of x is obtained as follows:
12x = 15 x 8
12x = 120
x = 10.
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Question
Solve the following system of equations.
- x² – 3y² = - 12
–4x² - y² = -37
Provide your answer below:
I
I need the exact answer please. There are 8 sets of answers for this question what are they fill in the question mark. I hope I’ll get my answers quickly. Thank you
(?,?),(?,?),(?,?),(?,?)
Answer:
(3,1) (3,-1) (-3,1) (-3,-1)
Step-by-step explanation:
This is just a question I had.
If Denny (random name) left to another country and he left the Tuesday of this week (June 20) and he left for a month, what day would he be back on? I though July 18 but I’m not sure. Pls help?
Answer:
Step-by-step explanation:
Well, since the length of a month can vary in the number of days, this answer can also vary.
For example, February is only 28 days long, while December is 31 days long.
That being said, the average length of all 12 months is 30.436875 days, so if Denny left to another country on June 20th, he would most likely be back July 19th of July 20th.
I hope this helps!
A new cylindrical can with a diameter of 4cm is being designed by a local company. The surface area of the can is 140 square centimeters. What is the height of the can? Estimate using 3.14 for pi and round to the nearest hundredth. Apply the formula for the surface area of a cylinder SA=2B+Ph
The height of the can of cylinder shape is 9.14 cm.
What is a cylinder?
In mathematics, a cylinder is a three-dimensional solid that maintains two parallel bases separated by a curved surface at a specific distance. These bases frequently have a circular shape (like a circle), and an axis connects their respective centres.
We are given the diameter as 4 cm.
So, the radius is 2cm.
Also, it is given that the surface area of the can is 140 square centimeters.
So, using the surface area of cylinder, we get
⇒Area = 2πr (h + r)
⇒140 = 2π * 2 (h + 2)
⇒140 = 4π (h + 2)
⇒140 = 4 * 3.14 * (h + 2)
⇒140 = 12.56 * (h + 2)
⇒11.14 = h + 2
⇒h = 9.14
Hence, the height of the can of cylinder shape is 9.14 cm.
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a. Find the arc length function for the curve measured from the point P in the direction of increasing t and then reparametrize the curve with respect to arc length starting from P.
b. Find the point 4 units along the curve (in the direction of increasing t) from P.
r(t) = et sin t i + √2 et k, P(0, l ,√2)
The correct question has r(t) = e^t sint i + e^t cost j + √2 e^t k
Answer:
(a) 2e^t
(b) r(t) = (L/2 + 1)sin(ln|L/2 + 1|) i + (L/2 + 1)cos(ln|L/2 + 1|) j + √2(L/2 + 1) k
Step-by-step explanation:
Given r(t) = e^t sint i + e^t cost j + √2 e^t k
(a) To find the arc length of the function, we first differentiate r(t) to obtain r'(t). Doing this, we have
r'(t) = (cost + sint)e^t i + (cost - sint)e^t j + √2 e^t k
Next, we find the magnitude of r'(t). Doing this, we obtain
|r'(t)| = √{[(cost + sint)e^t]² + [(cost - sint)e^t]²+ (√2 e^t)² k}
= √(4e^(2t))
= 2e^t
(b) Now, because t = 0 corresponds with the (0, 1, √2), we have the arc length function, L to be the integral from 0 to t of |r'(v)|dv
L = integral of 2e^v dv from v = 0 to t.
Evaluation the integral, we have
L = 2e^t - 2e^0
= 2e^t - 2
L = 2(e^t - 1)
Let us make t the subject of the formula.
Divide both sides by 2
L/2 = e^t - 1
Adding 1 to both sides
L/2 + 1 = e^t
e^t = L/2 + 1
Taking natural logarithm of both sides
t = ln|L/2 + 1|
Finally, we put t = ln|L/2 + 1| in the original equation, r(t) we were given to have
r(t) = (L/2 + 1)sin(ln|L/2 + 1|) i + (L/2 + 1)cos(ln|L/2 + 1|) j + √2(L/2 + 1) k
In this exercise we have to use the knowledge of arc length of a function, thus we find that:
(a) \(2e^t\)
(b)\(r(t) = (L/2 + 1)sin(ln|L/2 + 1|) + (L/2 + 1)cos(ln|L/2 + 1|) + \sqrt 2(L/2 + 1)\)
Given the function as:
\(r(t) = e^t sin(t) + e^t cos(t) + \sqrt{2 e^t }\)
(a) To find the arc length of the function, we have:
\(r'(t) = (cost + sint)e^t + (cost - sint)e^t+ \sqrt2 e^t\\|r'(t)| = \sqrt{[(cost + sint)e^t]^2 + [(cost - sint)e^t]^2+ (\sqrt2 e^t)^2 }\\= \sqrt(4e^{(2t)})\\= 2e^t\)
(b) We have the arc length function, L to be the integral from 0 to t, so:
\(L = \int\limits^t_0 {2e^v} \\L = 2e^t - 2e^0\\= 2e^t - 2\\L = 2(e^t - 1)\\L/2 = e^t - 1\\L/2 + 1 = e^t\\e^t = L/2 + 1\\t = ln|L/2 + 1|\\\)
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Here are the shopping times (in minutes) of ten shoppers at a local grocery store.
Complete the grouped frequency distribution for the data.
In the distribution, the frequency of a class is the number of shopping times in that class.
(Note that we are using a class width of 5.)
The frequency which is to filled in the table is 1, 4, 2 and 4.
Given that;
All shopping time of ten shopkeeper:
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
We have to complete the frequency in the table. Frequency of something is the number of times that number is coming.
Since, Shopping time is given as ,
25, 29, 25, 18, 24, 28, 36, 25, 33, 37
And, Intervals for which frequency is given is ,
18 to 22, 23 to 27, 28 to 32, 33 to 37.
Hence, WE get;
Numbers in the range 18 to 22 = 18 therefore 1
Numbers in the range 23 to 27 = 25, 25, 24, 25 therefore 4
Numbers in the range 28 to 32 = 29, 28 therefore 2
Numbers in the range 33 to 37 = 36, 33, 37, therefore 3
Hence, the frequency which is to filled are 1, 4, 2 and 4.
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Please help!!!!!!!!!!!!!!!!!!!!!!
Answer:
45∘
Step-by-step explanation:
So, the reference angle is 360∘−315∘=45∘
Hope this helps! :D
Which of these is a complex number
If f(x) =
-2x²-x-4,find:
a f(-2)
Answer:
-10
Step-by-step explanation:
plug -2 into the equation -2(-2)²-(-2)-4
If spring A has a spring constant which is 8 times spring B's spring constant, what is the ratio of their periods? Which is the stiffer spring?
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
Spring stiffness is a characteristic that describes the relationship between load and deflection. If k is stiffness, P is load, and x is deflection, P = kx. The smaller the deflection at a constant load, the stiffer the spring, k.
Given that,
If spring A has a spring constant which is 8 times spring B's spring constant,
Let us assume,
A spring is cut into two parts of length La and Lb
Also given that La : Lb
La : Lb = 1 : 8
The total of spring constant is = 1 + 8 = 9
If the length of spring is L , then La
La = \(\frac{L}{9}\)
And length of B , Lb
Lb = \(\frac{8L}{9}\)
We know, for spring force , spring constant or stiffness of spring is inversely proportional to length of spring .
K ∝ 1 / L
If initial spring constant is k then,
kL= KaLa = KbLb
Then,
Ka = \(\frac{K}{\frac{1}{9} }\)
Ka = 9K
And Kb = \(\frac{K}{\frac{8}{9} }\)
Kb = \(\frac{9K}{8}\)
Hence, stiffness of A is given by, 9K
Stiffness of B is given by \(\frac{9K}{8}\)
Therefore,
If spring A has a spring constant which is 8 times spring B's spring constant then the ratio of their periods is = 9K and \(\frac{9K}{8}\)
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Which one doesn't belong? 100, 25, 36, 30
Answer:
Step-by-step explanation:
100 bro
help two step equations
Answer:
x=-3
Step-by-step explanation:
-17=7x+4
-17-4=7x
-21=7x
-21/7=x
x=-3
I NEED THE ANSWER ASAP
tea drinkers in Canada is 4:1. Jack concluded from this that if 400 people
were surveyed, 100 of them would most likely be regular tea drinkers. Is
he correct? Explain.
Answer: He is incorrect.
Step-by-step explanation:
The question says:
"tea drinkers in Canada is 4:1"
We only have that, so i guess that this means:
"The ratio of nonregular tea drinkers to regular tea drinkers in Canada is 4:1"
The ratio 4:1 means that for each 4 non-regular tea drinkers, there is one regular tea drinker.
Now let's multiply both by 100.
For each 400 nonregular tea drinker, there are 100 regular tea drinkers, if we add them we have a total of 500
Then the statement would be if 500 people were surveyed, 100 of the would most likely be regular tea drinkers.
(6.2 x 10²) x (3.5 x 10³)
Answer:
\(21.7 x 10^5\)
Step-by-step explanation:
(6.2 x 10²) x (3.5 x 10³)
First, multiply the coefficients: 6.2 x 3.5 = 21.7.
Then, add the exponents: 10² x 10³ = 10^(2+3) = 10^5.
Therefore, the result is 21.7 x 10^5.
Answer:
3286000
Step-by-step explanation:
what is the value of x?
help would be so appreciated!
Answer:
x =23
Step-by-step explanation:
ok first, the full degree of a straight line is 180°
subtract 38° out of 180°
180-38= 142
so 6x+4= 142°
subtract 4 from both sides of the equation
6x +4 -4= 142-4
6x=138
divide 6 from 6x and 138
x=23
- ay + 4bx - b; a = -1, b = 2, x = 5, y = -6
- ay + 4bx - b = (Type an integer or a decimal.)
h
Answer:
Consider the given equation.
4x
2
+4bx−(a
2
−b
2
)=0
4x
2
+4bx+b
2
−a
2
=0
(2x+b)
2
−a
2
=0
(2x+b−a)(2x+b+a)=0
2x+b−a=0 Or 2x+b+a=0
x=
2
a−b
Or x=−
2
a+b
Find the amplitude of the solution
y=-4sin1/3x
Answer:
c. 4
Step-by-step explanation:
The amplitude of a graph is basically the distance from the top of the wavelength to the bottom of the wave length. When dealing with the equation itself the amplitude is represented by the initial number being multiplied to the sin cos or tan. Since the amplitude is just the distance and direction does not matter, this value is always positive. Therefore, in this scenario, the amplitude would be 4.
PLEASE HELP ME! WILL AWARD BRAINLIEST.
Step-by-step explanation:
7/2 × -17/8
-119/16
-7 7/16
What is the slope of the lines that are parallel to the line defined by the equation y = -x – 4?
Answer:
slope = -1
Step-by-step explanation:
parallel lines have the same slope,
y = -x – 4
=> y = -1(x) -4
↑ slope
y = mx + b
↑ slope
In the data set below, what is the interquartile range?
26 42 52 61 75 85 93 96
Answer:
the iqr is 42
Step-by-step explanation:
I was getting help on this earlier but my tutor got disconnected.Celeste walked 147 ft on a moving walkway at the airport. Then she walked on the ground for 98ft She travels 2/ftsec faster on the walkway than she does on the ground. If the time it takes her to travel the total distance of 245ft is 49sec, how fast does Celeste travel on and off the moving walkway?
Let x be the walking in the ground speed; since she travels 2 ft/s faster on the walkway its velocity there is:
\(x+2\)Now we know that she traveled 147 ft on the walkway and in total 245 ft, this means that she traveled 98 ft on the ground.
We also know that the speed is given as:
\(v=\frac{d}{t}\)from this the time is:
\(t=\frac{d}{v}\)The time she spent on the walkway is:
\(t=\frac{147}{x+2}\)while the time she walked on the ground is:
\(t^{\prime}=\frac{98}{x}\)Now, adding this times and equating them to the total time she walked we get:
\(\frac{147}{x+2}+\frac{98}{x}=49\)Solving for x we have:
\(\begin{gathered} \frac{147}{x+2}+\frac{98}{x}=49 \\ \frac{147x+98(x+2)}{x(x+2)}=49 \\ \frac{147x+98x+196}{x^2+2x}=49 \\ 245x+196=49(x^2+2x) \\ 245x+196=49x^2+98x \\ 49x^2-147x-196=0 \\ x^2-3x-4=0 \\ (x+1)(x-4)=0 \\ \text{then} \\ x=-1 \\ \text{ or} \\ x=4 \end{gathered}\)Now, since she walked in the same direction the velocity can't be negative.
Therefore we conclude that the ground speed was 4 ft/s while the walkway speed was 6 ft/s.
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.
Destiny owns a cake shop and she is working on two wedding cakes this week. The first cake consists of 4 small tiers and 4 large tiers, which will serve a total of 288 guests. The second one includes 3 small tiers and 5 large tiers, which is enough servings for 316 guests. How many guests does each size of tier serve?
A small tier will serve guests and a large tier will serve guests.
Answer:
small tier: 22large tier: 50Step-by-step explanation:
If cakes of 4 small and 4 large tiers serve 288 guests, and 3 small and 5 large tiers serve 316 guests, you want to know the number of guests served by a tier of each size.
SetupLet 's' and 'l' represent the numbers of guests served by small and large cake tiers, respectively. The first cake serves ...
4s +4l = 288
And the second cake serves ...
3s +5l = 316
SolutionSubtracting 3/4 of the first equation from the second gives ...
(3x +5l) -3/4(4s +4l) = (316) -3/4(288)
2l = 100
l = 50
4s +4(50) = 288 . . . substitute for l in the first equation
4s = 88 . . . . . . . . . . subtract 200
s = 22 . . . . . . . divide by 4
A small tier will serve 22 guests; a large tier will serve 50 guests.
What is the equation of a line that passes through (1,2) and is perpendicular to the given line?
The given line passes through (0,10) and (2,0), so its slope is
\(\frac{10-0}{0-2}=-5\)
Since perpendicular lines have negative reciprocal slopes, the slope of the line we want to find is 1/5.
Substituting into point-slope form,
\(y-2=\frac{1}{5}(x-1)\\\\y-2=\frac{1}{5}x-\frac{1}{5}\\\\\boxed{y=\frac{1}{5}x+\frac{9}{5}}\)
Which represents where f(x) = g(x)?
O f(o) = g(0) and f(2) = g(2)
O f(2) = g(0) and f(0) = g(4)
O f(2) = g(0) and f(4) = g(2)
O f(2) = g(4) and f(1) = g(1)
Answer:
The correct answer is:
f(2) = g(2) and f(0) = g(0)
Step-by-step explanation:
If f(x) = g(x), this means the values of the functions are the same when using the same numbers. That means if we use 2 for x, then f(2) would need to be equal to g(2); if we use 0 for x, then f(0) would need to be equal to g(0). This is the case in this option, so this option is correct.
Here's a graph of a linear function. Write the
equation that describes that function.
xpress it in slope-intercept form.
Answer:
the slope intercept form is y = (1/2)x - 1
Step-by-step explanation:
The slope-intercept form is, y = mx + b
We see from looking at the graph that,
at x = 0, y = -1
So, from this we find that b = -1
at x = 2, y = 0,
now, we find the slope m,
using,
\(m = \frac{y_{2} -y_1}{x_2-x_1}\)
Using x_2 = 2, y_2 = 0,
x_1 = 0, y_1 = -1, we get,
m = (0-(-1))/(2-0)
m = 1/2
So, the slope intercept form is,
y = (1/2)x - 1
carpet is sold in square yards how much carpet would a person need to buy for a rectangle that has dimensions of 10 yards by 18 feet
A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
How to determine the amount of carpet needed for a rectangular room?
To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.
The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),
18 feet ÷ 3 feet/yard = 6 yards
So the dimensions of the room in yards are 10 yards by 6 yards.
To find the total area of the room, we need to multiply the length and width,
10 yards × 6 yards = 60 square yards
Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.
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