Answer:
31.34 (to 2d.p.)
Step-by-step explanation:
Just use a calculator and type 42/134
if f =28 when a = 7 find f when a is 10 (direct proportion)
Answer:
f=40
Step-by-step explanation:
f=28, a=7
\(f \infty a \\ f = ka \\28 = k(7) \\ 28 = 7k \\ \frac{28}{7} = \frac{7k}{7} \\ 4 = k \\ k = 4 \\ f = 4a \\ a = 10 \\ f = 4(10) \\ f = 40\)
Hope that this is helpful.
Have a nice day.
What is the sum of 103 and h?
Answer:
4.02
Step-by-step explanation:
the 4.08 and a pie got married then their did would be 4.02 because of an equalities property.
Answer:
I believe the answer is not 4.02, but... 103+h=
Step-by-step explanation:
A population of values has a normal distribution with μ=208.5 and σ=35.4. You intend to draw a random sample of size n=236.
Find the probability that a single randomly selected value is greater than 203.4.
P(X > 203.4) = Round to 4 decimal places.
Therefore, the probability that a single randomly selected value from the given population is greater than 203.4 is approximately 0.4441 (rounded to 4 decimal places).
To find the probability that a single randomly selected value from the given population is greater than 203.4, we can use the standard normal distribution.
First, we need to standardize the value of 203.4 using the formula:
Z = (X - μ) / σ
where Z is the standard score, X is the value we want to standardize, μ is the mean of the population, and σ is the standard deviation of the population.
In this case, X = 203.4, μ = 208.5, and σ = 35.4. Substituting these values into the formula, we have:
Z = (203.4 - 208.5) / 35.4
= -5.1 / 35.4
= -0.1441
Now, we can find the probability using the standard normal distribution table or a calculator. The probability of a standard normal random variable being greater than -0.1441 is the same as the probability of being less than or equal to -0.1441.
Using a standard normal distribution table or a calculator, we find that the probability corresponding to -0.1441 is approximately 0.4441.
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derive an equation that relates the initial release height hx of block x and the speed vs of the two-block system after the collision in terms of mx , my , and fundamental constants, as appropriate.
The law of conservation of energy and momentum can be used to construct the equation that connects the initial release height of block x (hx) and the speed of the two-block system following the collision (v s).
Block x's initial kinetic energy (0.5 * m x * v x2) and potential energy (m x * g * hx) are both equal to the total kinetic energy of both blocks after the collision (0.5 * (m x + m y) * v s).
Combining everything, we get the following equation:
m x * g * hx + 0.5 * m x * v x2 = 0.5 * (m x + m y) * v s2.
where g is the acceleration brought on by gravity, v x is the starting speed of block x, and m x and m y are the masses of blocks x and y.
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Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water. If the water input contained at a constant rate, how many more hours are needed to completely fill the 920-gallon pooo?
It will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
What is a fraction?Fraction number consists of two parts one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
We have:
After 5 hours the pool filled with 230 gallons
Let's suppose that after x hours the pool will fill with 920 gallons
After x hours the pool filled with 920 gallons.
As the water input contained at a constant rate
So the value of x can be evaluated:
\(\rm x = \frac{920\times5}{230}\)
x = 20 hours
Thus, it will take 20 hours to fill the 920-gallon water in the pool if Daniel began filling an empty swimming pool at 8:30 a.M. After 5 hours, the pool contained 230 gallons of water.
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What is the value (5+6)7-3^2
Answer:
68
Step-by-step explanation:
Answer: 68
Step-by-step explanation:
(5+6)(7)−32
=(11)(7)−32
=77−32
=77−9
= 68
A line has a slope of -3 and includes the points (-3, j) and (-8,6). What is the value of j?
Answer:
-9
Step-by-step Explanation
what is the equation in slope intercept form of the line that passes through the point (2,-5) and is parallel to the line represented by 8x+2y=14
Answer: y = -4x + 3
Step-by-step explanation:
First, we will write 8x+2y=14 in slope-intercept form.
8x+2y=14
2y = -8x + 14
y = -4x + 7
Next, we will take this new slope-intercept form equation, y = -4x + 7, and use the slope from it to substitute the coordinate point given to find the y-intercept of the equation we are trying to find.
y = -4x + b
(-5) = -4(2) + b
-5 = -8 + b
b = 3
Lastly, we will write our equation with a slope of -4 and a y-intercept of 3.
y = -4x + 3
please hep me asap!!!
y = 15 when x = 60, find y when x = 45
Answer:
y=0
Step-by-step explanation:
Answer: y = 30
hope it helps!
Katya decided that she could not afford the $48,000 it would cost her to attend college and get her four-year degree. Instead, she entered the full-time workforce four years earlier than her peers who went to college. During those four years, she earned a total of $90,000. However, without a college degree, Katya made an average of $10,000 less than she could have with a degree every year for the 40 additional years of her career. What was the long-term financial cost of Katya deciding to not attend college?
Answer: $310,000
Step-by-step explanation:
In 40 additional years, the amount she made less than her college counterparts was;
= 10,000 * 40
= $400,000
She however made $90,000 more than them as they went to college;
= 400,000 - 90,000
= $310,000
The long-term financial cost was $310,000.
a(n) _____ connects two or more devices in a limited geographical area.
A local area network (LAN) connects two or more devices in a limited geographical area.
A local area network (LAN) is a type of network that links computers and other devices within a certain geographic region, such as a house, a school computer lab, an office building, or a cluster of nearby structures.
The nodes, or individual computers or devices that make up a network, frequently share resources like printers, big hard drives, and software. Cables are frequently used to connect the nodes. A LAN without physical wires is known as a wireless LAN (WLAN). A cable LAN and a WLAN frequently communicate in order for a WLAN to access its resources.
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unit 11: volume & surface area homework 8
The volumes of the pyramids are listed below:
V = 1437.333 cm³V = 75,398 km³V = 59.2 ft³V = 393.3 yd³V = 1134.116 m³V = 403.333 mm³V = 405.6 in³V = 886.808 ft³How to determine the volume of a pyramidVolume is the space occuppied by an object. In this question we must determine the volumes of pyramids of circular base and polygonal base (V). All the formulas needed are described below:
Volume of the pyramidV = (π/3) · B · h (1)
Base of the pyramid - CircleB = (π/4) · R² (2)
Base of the pyramid - Regular polygon
B = (n · L²)/(4 · tan 0.5α) (3)
Base of the pyramid - Right triangleB = (1/2) · b · z (4)
Base of the pyramid - RectangleB = b · z
Where:
R - Radiusn - Number of sides of the polygon.l - Side lengthα - Internal angle, in degree.h - Height of the pyramidb - Base of the right triangle/rectangle.z - Length of the right triangle/rectangle.Now we proceed to solve each pyramid:
1) Square, n = 4, α = 90°, L = 14 cm, h = 22 cm
B = 196 cm², V = 1437.333 cm³
2) Circle, R = 3 km, h = 8 km
B ≈ 28.274 km², V = 75,398 km³
3) Right triangle, b = 12 ft, z = 3.7 ft, h = 8 ft
B = 22.2 ft², V = 59.2 ft³
4) Rectangle, b = 23 yd, z = 9 yd, h = 5.7 yd
B = 207 yd², V = 393.3 yd³
5) Circle, R = 9.5 m, h = 12 m
B ≈ 283.529 m², V = 1134.116 m³
6) Regular pentagon, B = 110 mm², h = 11 mm
V = 403.333 mm³
7) Square,n = 4, α = 90°, L = 13 in, h = 7.2 in
B = 169 in², V = 405.6 in³
8) Regular triangle, n = 3, α = 120°, L = 16 ft, h = 24 ft
B ≈ 110.851 ft², V = 886.808 ft³
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if sin a=0.865 and cos b=0.529 with both angles terminal rays in quadrant 1, find the values of cos(a b sin (a b)
cos(a b) = 0.965 and sin(a b) = 0.674 .
sin a = 0.865
cos a = √(1 - sin² a)
cos a = sqrt(1 - 0.865²)
cos a = 0.502
Similarly, cos b = 0.529
sin b = √(1 - cos² b)
sin b = √(1 - 0.529²)
sin b = 0.854
Trigonometry identity
cos(a b) and sin(a b)
cos(a b) = cos ( 0.502 × 0.529 )
cos(a b) = cos 0.266
cos(a b) = 0.965
Trigonometry identity
sin(a b) = sin (0.865 × 0.854 )
sin(a b) = sin (0.739)
sin(a b) = 0.674
Therefore, cos(a b) = 0.965 and sin(a b) = 0.674
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Which graph represents a function with direct variation?
The circumference of a circle is 98.596 millimeters. What is the radius of the circle? Use 3.14 for π.
197.2 mm
49.3 mm
31.4 mm
15.7 mm
Answer: D) 15.7
Step-by-step explanation:
Start with the formula C=2 πr
Then solve for r r=C2π = 98.62·π = 15.69(7)204
The radius of the circle is 15.7 mm.
What is Circumference?The route or boundary that encircles any shape in mathematics is defined by the shape's circumference.
The measurement of the circle's perimeter, also known as its circumference, is called the circle's boundary. The region a circle occupies is determined by its area. The length of a straight line drawn from the centre of a circle equals the diameter of that circle.
We have,
The circumference of Circle = 2πr
Also, The circumference of a circle is 98.596 millimeters.
So, circumference of Circle = 2πr
98.596 = 2πr
98.596 = 6.28r
r= 98. 596 / 6.28
r = 15.7 mm
Thus, the radius is 15.7 mm.
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Which statement is true about the discontinuities of the function f(x)?
f(x)=x+1/6x^2-7x-3
There are asymptotes at x=3/2 and x=-1/3
There are holes at x = 3/2 and x = -1/3
There are asymptotes at x = -3/2 and x = 1/3
There are holes at x = -3/2 and x = 1/3
Answer:
(a) There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
The denominator zeros can be found by factoring:
f(x) = (x +1)/((2x -3)(3x +1))
Neither of the denominator factors is cancelled by the numerator factor, so each represents a vertical asyptote, not a function hole.
The asymptotes are at the values of x where the denominator is zero:
2x -3 = 0 ⇒ x = 3/2
3x +1 = 0 ⇒ x = -1/3
Answer:A There are asymptotes at x=3/2 and x=-1/3
Step-by-step explanation:
Will give brainliest
Answer:no matter what value you substitute for x, the absolute value will force the result to be a positive number and any positive number is greater than -12
Step-by-step explanation:
If I paid $625 interest on $5000 that I borrowed at 5%, how many years did I borrow it? *Remember, I = P x R x T help fast
The average production amount of a certain type of apple tree is normally distributed with a mean of 10 apples and a standard deviation of 2 apples. If we select 25 apple trees, what is the probability that the total production of these trees will exceed 255 apples
Thus, the probability that the total production of these 25 apple trees will exceed 255 apples is 0.3085, or about 31%.
To solve this problem, we need to first find the distribution of the total production of the 25 apple trees.
We know that the average production amount of a single apple tree is normally distributed with a mean of 10 apples and a standard deviation of 2 apples.
Since we are selecting 25 apple trees, the total production will be the sum of the production of these 25 trees.Know more about the normally distributed
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PLEASE HELP I ONLY HAVE AN HOUR
help me solve this please
Answer:
x is 46.67
y is 28.4°
Step-by-step explanation:
To solve for x we use sine
sin ∅ = opposite / hypotenuse
AC is the opposite
x is the hypotenuse
so we have
sin 59° = 40 / x
x sin 59 = 40
Divide both sides by sin 59
x = 40/sin 59
x = 46.67
To solve for y we also use sine
sin y = 30/ 63
y = sin^-1(30/63)
y = 28.4°
Hope this helps you
Two similar triangles are shown. Triangle M N O is rotated about point O and then is dilated to form larger triangle H Y Q. ΔMNO was dilated, then _____________, to create ΔYHQ. rotated reflected translated dilated
Answer:
rotated
Step-by-step explanation:
rotated
reflected
translated
dilated
Answer:
a. rotated
Step-by-step explanation:
Find an equation involving g,h, and k that makes this augmented matrix correspond to a consistent system;
⎣
⎡
1
0
−2
−4
3
5
7
−5
−9
g
h
k
⎦
⎤
To make the augmented matrix correspond to a consistent system, we need to ensure that the third row is a linear combination of the first two rows. Let's denote the entries in the third row as a, b, and c, respectively. Then, the equation involving g, h, and k that makes the matrix consistent is:
-4g + 3h + 5k = a
7g - 5h - 9k = b
In a consistent system, all rows of the augmented matrix must be linearly dependent. This means that the third row should be a linear combination of the first two rows. By equating the corresponding entries in the third row to variables, we can find an equation involving g, h, and k that satisfies this condition.
In the given augmented matrix, the third row is represented by the variables g, h, and k. We denote the entries in the third row as a, b, and c, respectively. To create a consistent system, we need to find a relationship between these variables and the entries in the first two rows.
By comparing the entries in the first and second columns, we can set up the following equations:
-4g + 3h + 5k = a (equation 1)
7g - 5h - 9k = b (equation 2)
These equations ensure that the augmented matrix corresponds to a consistent system. If we substitute the values of g, h, and k into equations 1 and 2, the resulting values in the third row will satisfy the entries a and b, respectively.
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being able to calculate product, average product, and marginal product is important to operate efficiently and maximize profits.
The total product average product and marginal product are important to operate efficiently and maximize profits. Option D is the correct answer.
Being able to calculate the total product, average product, and marginal product is important for businesses to operate efficiently and maximize profits.
The total product is the overall output produced by a business, while the average product is the output per unit of input, and the marginal product is the change in output resulting from a change in input.
These calculations can help businesses optimize their production processes by identifying the most efficient levels of input and output.
By maximizing their output while minimizing their input costs, businesses can increase their profitability and gain a competitive advantage in the market.
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The question is -
Being able to calculate the total product average product and the marginal product is important:
a. for determining demand and supply.
b. when filing taxes.
c. to keep competition in check.
d. to operate efficiently and maximize profits.
please help! no rush though :)
1.6 x 10^5kg and 8 x 10^3kg
(i need it with too but if you can’t it’s all good!)
Answer:
160000 kg and 8000
Step-by-step explanation:
move decimal to the right five times
move decimals to right 3 times
Please help giving up 20 points for answers
Answer:
Question 2: 6x-21
Question 1: -9x+3
Step-by-step explanation:
Find the unit rate.
84 miles in 12 days
Unit rate:
Answer:7
Step-by-step explanation:Divide 84 by 12 and it gives you 7.
Hope it helps :)
Therefore, the unit rate of \(\frac{84}{12}\) is \(7\).
What is the simplification?
Simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easy with calculations and solving.
As per the given information
\(\frac{84}{12}=7\)
Hence, the unit rate of \(\frac{84}{12}\) is \(7\).
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There is a line through the origin that divides the region bounded by the parabola y=5x−3x^2 and the x-axis into two regions with equal area. What is the slope of that line?
The slope of the line that divides the region bounded by the parabola \(y=5x-3x^2\)and the x-axis into two regions with equal area is 5.
To find the slope of the line that divides the region into two equal areas, we need to determine the point of intersection between the parabola and the x-axis. Since the line passes through the origin, its equation will be y = mx, where m represents the slope.
Setting the equation of the parabola equal to zero, we find the x-values where the parabola intersects the x-axis. By solving the equation\(5x - 3x^2 = 0\), we get x = 0 and x = 5/3.
To divide the region into two equal areas, the line must pass through the midpoint between these x-values, which is x = 5/6. Plugging this value into the equation of the line, we have y = (5/6)m.
Since the areas on both sides of the line need to be equal, we can set up an equation using definite integrals. By integrating the equation of the parabola from 0 to 5/6 and setting it equal to the integral of the line from 0 to 5/6, we can solve for m. After performing the integration, we find that m = 5.
Therefore, the slope of the line that divides the region into two equal areas is 5.
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pat is knitting a scarf on average she can knit 2cm in 35minutes
express this as a rate in min/cm
Answer:
Step-by-step explanation:
2cm per 35 min
1 cm per 17.5 min
17.5 minutes per cm