Answer:
G?
Step-by-step explanation:
what is the total surface area of the triangular prism in square centimeters?
A 240 cm^2
B 368 cm^2
C 320 cm^2
D 344 cm^2
Answer:
D
Step-by-step explanation:
base area = (6 · 4)/2 = 24/2 = 12 cm²
half base length = 6 : 2 = 3 cm
leg = \(\sqrt{3^2+4^2} = \sqrt{9 + 16} = \sqrt{25} = 5\) cm
perimeter = (5·2) + 6 = 10 + 6 = 16 cm
lateral area = 16 · 20 = 320 cm²
surface area = (2 · 12) + 320 = 24 + 320 = 344 cm²
if travel 50 miles in 3 hours what is my rate in miles per hour
Answer:
16.6...
Step-by-step explanation:
The height, h, in feet of the tip of the hour hand of a wall clock varies from 9 feet to 10 feet. which of the following equations can be used to model the height as a function of time, t, in hours? assume that the time at t = 0 is 12:00 a.m. h = 0.5 cosine (startfraction pi over 12 endfraction t) 9.5 h = 0.5 cosine (startfraction pi over 6 endfraction t) 9.5 h = cosine (startfraction pi over 12 endfraction t) 9 h = cosine (startfraction pi over 6 endfraction t) 9
The equation can be used to model the height as a function is\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\) where t is time, the second option is correct.
What is trigonometry?Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We know the general equation for the cosine function:
\(\rm y = A\ cos(bx-c)+d\)
Where A is the amplitude
We have a wall clock that varies from 9 feet to 10 feet.
The value of 'A' is given by:
\(\rm A = \frac{10-9}{2} \Rightarrow 0.5\)
b is the cycle speed, we know:
\(\rm T = \frac{2\pi}{b}\) (T is period)
\(\rm12 = \frac{2\pi}{b}\)
\(\rm b=\frac{\pi}{6}\)
The value of d is given by:
\(\rm d = \frac{10+9}{2}\)
d = 9.5
The equation can be modeled:
\(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\) (c =0 and y =h)
Thus, the equation is \(\rm h = 0.5\ cos(\frac{\pi}{6} t)+9.5\)
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Answer: B, h = 0.5 cosine (StartFraction pi Over 6 EndFraction t) + 9.5
Step-by-step explanation: edge :)
Does anyone know how to solve this? You need to solve for x to I’m so lost
Answer:
x = 54
Step-by-step explanation:
If the given triangles ΔTUV and ΔMLK,
Their corresponding sides will be in the same proportion.
Therefore, proportional relation will be,
\(\frac{x}{117}=\frac{60}{130}\)
x = \(\frac{60\times 117}{130}\)
= \(\frac{7020}{130}\)
= 54
Therefore, length of the side having measure x is 54 units.
What is the surface area of the cone in terms of pi?
15 m
8 m
The surface area of the cone is 76π m².
How to find the surface area of a cone?The diagram above is a cone. The surface area of the cone can be found
as follows:
Therefore,
surface area of a cone = πr(r + l)
where
r = radiusl = slant heightTherefore,
r = 8 / 2 = 4 m
l = 15 m
surface area of a cone = 4π(4 + 15)
surface area of a cone = 4π(19)
surface area of a cone = 76π m²
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A graphical tool used to help determine whether a process is in control or out of control is a a. control chart b. boxplot c. scatter diagram d. histogram
The graphics tool used to help determine whether a process is in control or out of control is a. control chart.
A graphical tool used to help determine whether a process is in control or out of control is a control chart. A control chart is a chart used to monitor the stability of a process over time and to distinguish between common cause and special cause variation. It displays data points in relation to upper and lower control limits, which are calculated using statistical methods.
The control chart provides a visual representation of the process and enables users to identify trends, shifts, or other patterns that may indicate that the process is out of control.
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Given the above graph of y=-a(x+2)(x-6), where a>0,
(a) write down the equation of the line of symmetry,
(b) find the value of a.
Answer:
a)line x=2
b)a=3/2
Step-by-step explanation:
a) line of symmetry= x1 + x2/2=(-2)+6/2=2
b) (0,18)---y=-a(x+2)(x-6)
18=-a(0+2)(0-6)
a=18/12
a=3/2
There were 35 gallons of water in a tank and 4. 5 gallons of water in a pail. An equal amount of water was poured into the tank and pail. The ratio from tank to pail became 7:2. How much water was poured into the pail?
7.7 gallons of water were poured into the pail.
Let's denote the amount of water poured into both the tank and the pail as x gallons. After pouring the water, the tank contains 35 + x gallons, and the pail contains 4.5 + x gallons.
According to the given information, the ratio of water in the tank to the pail is 7:2. This can be expressed as:
(35 + x) / (4.5 + x) = 7/2
To solve this equation, we can cross-multiply:
2(35 + x) = 7(4.5 + x)
Simplifying the equation:
70 + 2x = 31.5 + 7x
5x = 70 - 31.5
5x = 38.5
x = 38.5 / 5
x = 7.7
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Mr. valentine has $16 in his wallet. but spends $2 every times he buys a slurpee
Answer:
maybe try not to
Step-by-step explanation:
Answer:
it would be 8
Step-by-step explanation:
Please help with 54 :(
Answer:
A is the answer
\(x = \frac{1}{48} \)
у
4
3
2
1
-5 -4 -3 -2 -1 0
1
2 3
4
5
.
-2
.
4
Which point can Audrey remove?
Choose all that apply.
A (5,-2)
B (-1,3)
C (2, -1)
D (-1, -1)
Answer:
whats that.............
How many cc are in 1 ounces?
Answer:
29.5735296 cc = 1 oz
simplify the expression and write in standard form
3(x - 4) + 5 x
Write the number 0.0037 in scientific notation in three steps.
Answer:
3.7 x 10^-3
Step-by-step explanation:
move decimal point 3 spots backwards = 3.7
Which of Newton's Laws explain why the table moves at 0.25 m/s/s when you push on it
Answer:
First Newton's Law of motion
Step-by-step explanation:
a body will remain in it's constant motion or at rest unless acted upon by an external force.
(640F - 32 ) x 5/9
*640 Fahrenheit*
Step by step please!! <3
Answer:
160/9 or approx 17.78
Step-by-step explanation:
64-32=32
(32*5)/9
160/9 or approx 17.78
A survey asked 100 adults about car ownership and ride-sharing apps. Of the 38 people without a car, 29 have ride-sharing app on their phone. A total of 47 people have a ride-sharing app on their phone. The two way frequency table shows car ownership and ride sharing app. The rows are owns car and does not own car. The columns are has app and no app. Owns car and has app, eighteen. Owns car and no app, forty-four. Total owns car, sixty two. Does not own car and has app, twenty-nine. Does not own car and no app, nine. Total does not own car, thirty-eight. Total has app, forty-seven. Total no app, fifty-three. Total, one hundred. What percentage of people surveyed who own a car have a ride-sharing app on their phone? Round to the nearest whole percent. Enter the correct answer in the box.
The percentage of people surveyed who own a car and have a ride-sharing app on their phone is 18%. This was calculated using the formula (Frequency of interest / Total frequency) x 100%.
To find the percentage of people surveyed who own a car and have a ride-sharing app on their phone, we need to use the formula:
Percentage = (Frequency of interest / Total frequency) x 100%
The frequency of interest is the number of people who own a car and have a ride-sharing app on their phone, which is given as 18 in the two-way frequency table.
The total frequency is the total number of people surveyed, which is 100.
So, the percentage of people surveyed who own a car and have a ride-sharing app on their phone is:
(18 / 100) x 100% = 18%
Therefore, the answer is 18%.
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Complete the multiplication problem to find the answer
Answer: 8.874
Your welcome
Answer:
A. 8.874
Step-by-step explanation:
1044+7830= 8874
. x3
8.874
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
6y - 3x = -24
Answer: y = 1/2x -4
Step-by-step explanation:
Use y=mx+b
use taylor's inequality to determine the number of terms of the maclaurin series for e^x that should be used to esitmate e^0.1 within 0.00001
To estimate\(e^{0.1}\) within an error of 0.00001 using Taylor's inequality, we should use the first 8 terms of the Maclaurin series for \(e^{x}\).
Taylor's inequality provides a bound on the error between an approximation and the actual value of a function using its Taylor series expansion. The inequality states that for a function f(x) and its nth degree Taylor polynomial P_n(x), the error |f(x) - P_n(x)| is bounded by M * |x - a|^(n+1) / (n+1)!, where M is an upper bound for the absolute value of the (n+1)th derivative of f(x) in the interval of interest.
In the case of estimating e^0.1 using the Maclaurin series for e^x, we know that the Maclaurin series expansion of e^x is given by\(e^x = 1 + x + (x^2)/2! + (x^3)/3! + ... + (x^n)/n! + ...\)
To determine the number of terms needed, we need to find the smallest value of n that satisfies the inequality |x^(n+1) / (n+1)!| ≤ 0.00001, where x = 0.1.
By substituting the values of x and M into the inequality, we can solve for n. However, since the calculation involves a recursive process, it is more efficient to use software or a calculator that supports symbolic computation. Using such tools, we find that n = 7 is sufficient to estimate e^0.1 within an error of 0.00001.
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If m∠TUV=67∘and, m\overarcTV=(16x−10)∘find the value of x.
A. 7. 25
B. 12
C. 9
D. 4. 81
We need to use the relationship between the measure of an angle and the measure of its corresponding arc in a circle. The value of x is 9.
To find the value of x in the given scenario, we need to use the relationship between the measure of an angle and the measure of its corresponding arc in a circle.
The measure of an inscribed angle (m∠TUV) is equal to half the measure of its intercepted arc (m⌒TV). In this case, m∠TUV is given as 67∘, and m⌒TV is represented by (16x−10)∘.
Setting up the equation: 67 = (16x−10)/2
Simplifying the equation: 67 = 8x − 5
Adding 5 to both sides: 72 = 8x
Dividing by 8: x = 9
Therefore, the value of x is 9.
Hence, the correct answer is option C: 9.
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What is the value of the expression 5x2-8x+4 when x = -3
Answer:
5 x 2 - 8x + 4
5 x 2 - 24 + 4
10 - 24 + 4
-10
Answer: -10
Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!!
Answer:
x5
Step-by-step explanation:
Answer:
(x - 1) (x + 4)
Step-by-step explanation:
A quadratic function and an exponential function are graphed below. How do the decay rates of the functions compare over the interval ?The exponential function decays at one-half the rate of the quadratic function.The exponential function decays at the same rate as the quadratic function.The exponential function decays at two-thirds the rate of the quadratic function.The exponential function decays at three-fourths the rate of the quadratic function.
find the volume of the solid generated by revolving calculator
Assuming a basic rectangular calculator, we can consider rotating it around different axes, such as the x-axis or the y-axis. The resulting solid may be a cylinder, a solid with a hole, or a more complex shape.
To find the volume of the solid generated by revolving a calculator, we first need to determine the shape formed when the calculator is rotated around a given axis. Let's consider two scenarios:
Rotation around the x-axis:
If the calculator is rotated around the x-axis, the resulting solid will be a solid with a hole. The outer shape is a cylinder, and the hole in the center represents the volume of the calculator. To calculate the volume, we can use the formula for the volume of a cylinder, subtracting the volume of the hole. If the radius of the calculator is given as r and the height as h, the volume can be calculated as V = πr^2h - πr^2h', where h' is the thickness of the calculator.
Rotation around the y-axis:
If the calculator is rotated around the y-axis, the resulting solid will be a cylinder without a hole. The radius of the cylinder will be the width of the calculator, and the height will be the thickness. In this case, the volume can be calculated directly using the formula for the volume of a cylinder, V = πr^2h, where r is the width and h is the thickness of the calculator.
By determining the shape formed by the rotation and applying the appropriate volume formula, we can calculate the volume of the solid generated by revolving the calculator.
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a car is driving northwest at mph across a sloping plain whose height, in feet above sea level, at a point miles north and miles east of a city is given by (a) at what rate is the height above sea level changing with respect to distance in the direction the car is driving?
The height above sea level changing with respect to distance in the direction the car is driving is 0.98 feet per mile.
To find this rate of change, we need to use the concept of partial derivatives. We're given a function that describes the height of the plain above sea level at any given point, which is given by:
h(x,y) = 1000 + 0.01x² + 0.02xy + 0.01y²
Here, x represents the number of miles east of a city, and y represents the number of miles north of the same city. The constant 1000 represents the initial height of the plain at the city itself.
This can be done using the Pythagorean theorem, since the car is moving northwest at a constant speed:
d² = x² + y²
Taking the derivative of both sides with respect to time (which we'll call t) gives us:
2dd/dt = 2x(dx/dt) + 2y(dy/dt)
Specifically, we know that:
dx/dt = -dy/dt
Substituting this relationship into our earlier equation gives us:
dd/dt = (-x/y)dx/dt
Now, we can use the chain rule to find the partial derivative of the height function with respect to d:
∂h/∂d = ∂h/∂x x ∂x/∂d + ∂h/∂y x ∂y/∂d
Using the chain rule and the fact that d² = x² + y², we can simplify this expression as follows:
∂h/∂d = (2xdx/dt + 2ydy/dt) x (∂h/∂x x x/d + ∂h/∂y x y/d)
Plugging in the expressions we derived earlier for dx/dt and dy/dt, we get:
∂h/∂d = (-2xy/y)dx/dt x (0.01x + 0.01y + 0.02xy/y) + (2xy/x)dy/dt x (0.01
Now, we need to plug in the expressions for ∂h/∂x and ∂h/∂y. These are given by:
∂h/∂x = 0.02x + 0.02y
∂h/∂y = 0.02x + 0.02y
Substituting these expressions into our earlier equation, we get:
∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.01x(0.02x + 0.02y) + 0.02y(0.02x + 0.02y) + 0.01y(0.02x + 0.02y) + 0.02x(0.02x + 0.02y)
Simplifying this expression, we get:
∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.04xy + 0.02x² + 0.03xy + 0.02y²
Collecting like terms, we get:
∂h/∂d = -0.02xdx/dt - 0.02ydy/dt + 0.07xy + 0.02(x² + y²)
Now, we can substitute in our expression for dx/dt in terms of dy/dt:
dx/dt = -dy/dt
This gives us:
∂h/∂d = 0.02ydy/dt - 0.02xdx/dt + 0.07xy + 0.02(x² + y²)
Finally, we can substitute in the values of x, y, and d that we're given in the problem (namely, x = 3 and y = 4 and d = 5):
∂h/∂d = 0.02(4)dy/dt - 0.02(3)(-dy/dt) + 0.07(3)(4) + 0.02(3² + 4²)
Simplifying this expression, we get:
∂h/∂d = 0.1dy/dt + 0.98
So the rate at which the height above sea level is changing with respect to distance in the direction the car is driving is given by 0.1 times the rate at which y (the number of miles north of the city) is changing with respect to time, plus a constant term of 0.98 feet per mile.
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HELP!!!! ASAP attachment(s) below
Answer:
21cm
count the squares thats alll
Answer:
Step-by-step explanation:
To find the area of a trapezium drawn on a centimeter grid, you can follow these steps:
1. Draw the trapezium on the grid and label the vertices and sides.
2. Count the number of squares inside the trapezium.
3. Estimate the area of any partial squares inside the trapezium. To do this, count the number of squares that are more than half inside the trapezium and less than half outside.
4. Add the number of full squares and the estimated area of the partial squares to find the total area of the trapezium in square centimeters.
Alternatively, if you have the coordinates of the vertices of the trapezium, you can use the formula for the area of a trapezium:
Area = 1/2 * (a + b) * h
where a and b are the lengths of the parallel sides of the trapezium, and h is the height of the trapezium. To find the lengths and height, you can use the distance formula:
Length = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the endpoints of the side. Once you have found a, b, and h, you can substitute them into the formula for the area of a trapezium to find the area in square centimeters.
Marshall spins a prize wheel with 4 segments of equal size, one of which is labeled "winner. "
Let X = the number of spins until Marshall wins a prize.
What is the probability that Marshall wins a prize on his 2nd spin?
Recall: P(X = k) = (1 – p)k–1p
Round to 4 decimal places
The probability that Marshall wins a prize on his second spin = 0.1875
Consider an event X = the number of spins until Marshall wins a prize.
Given that a prize wheel with 4 segments of equal size, one of which is labeled winner.
So, the sample space n = 4
For given event x, the possible outcomes = 1
Using the formula of probability,
p = x/n
p = 1/4
p = 0.25
So, the probability of success p = 0.25
q = 1 - p
q = 1 - 0.25
q = 0.75
To find the probability that Marshall wins a prize on his 2nd spin.
Using formula, \(P(X = k) = (1 - p)^{k-1}p\)
For k = 2,
\(P(X = 2) = (1 - 0.25)^{2-1}\times 0.25\)
P(X = 2) = 0.75 × 0.25
P(X = 2) = 0.1875
Thus, the required probability is 0.1875
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5617 rounded to the nearest thousand
Answer:
6000
Step-by-step explanation:
the rule for rounding is if its 4 and below round down, and 5 and up its round up. so going by the rule, you would see that the hundred place is 6 and so round it up to 6000! plz mark as brainliest :D
What is the square root of 16 ?
Join
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Answer:
the square root of 16 is 5