Answer:
n = 6
Step-by-step explanation:
Step 1: Write equation
-15 + n = -9
Step 2: Add 15 to both sides
n = 6
Step 3: Check
Plug in n to verify it's a solution.
-15 + 6 = -9
-9 = -9
Answer:
n=6
Step-by-step explanation:
1)Add 15 to both sides
Adding cancels out the 15
2)Adding 15 to -9 gives us 6
then all you're left with is n=6/
What is (5 x 1,000,000) + (6 x 100,000) + (4 x 10,000) + (8 x 1,000) + (3 x 100) + (2 x 10)+(4x0.1) + (9 x 0.001) in standard form?
Answer:
\(5.648320409 \times {10}^{6} \)
Step-by-step explanation:
5000000+600000+40000+8000+300+20+0.4+0.009=5648320.409
But in standard form
it is 5.648320409×10⁶
An object is thrown upward at a speed of 52 feet per second by a machine from a height of 15 feet off the ground. The height h of the object after t seconds can be found using the equation h = − 16 t 2 + 52 t + 15
The height of the object after t seconds is given by the equation h = -16t^2 + 52t + 15.
The equation h = -16t^2 + 52t + 15 represents the height of the object at any given time t. The term -16t^2 represents the effect of gravity, which causes the object to decrease in height over time. The term 52t represents the initial upward velocity of 52 feet per second, which causes the object to gain height. The constant term 15 represents the initial height of the object when it was thrown.
To find the time at which the object reaches its maximum height, we can use the formula for the vertex of a parabola, which is given by t = -b/(2a), where a = -16 and b = 52 in this case. Substituting the values, we have t = -52/(2*(-16)) = -52/-32 = 1.625 seconds.
The equation h = -16t^2 + 52t + 15 can be used to calculate the height of the object at any given time t. In this case, the object reaches its maximum height after approximately 1.625 seconds.
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ERROR ANALYSIS Describe and correct the error in determining the number of
solutions of the system.
y = 3x - 8
y = 3x - 12
The lines have the same slope. So, the system has infinitely many solutions.
The lines of equations y = 3x - 8 and y = 3x - 12 have same slope but they are parallel to each other and have no solution.
What is system of equations?
A System of Linear Equations is when we have two or more linear equations are working together.
The first equation is y = 3x - 8.
The second equation is y = 3x -12.
Substituting the value of y from equation 1 in equation 2 -
y = 3x -12
3x - 8 = 3x - 12
3x - 3x = -12 + 8
0 = 4
There is no x-intercept.
Substituting the value of x in equation 1 -
y = 3x - 8
y = 3(0) - 8
y = 0 - 8
y = -8
So, the lines do not intersect each other.
Therefore, the equations have same slope but do not have any solution.
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Draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure ({N}, {T}, {M})
A cross-sectional effect diagram, also known as an axial force-shear force-bending moment diagram or simply an internal force diagram, is a graphical representation that shows the distribution of internal forces (axial force, shear force, and bending moment) along the length of a structural member, such as a beam or column.
To draw the cross-sectional effect diagrams for the beam whose loading condition is given in the figure, we need to follow these steps:
Step 1: Identify the type of loadingFor this question, the loading conditions are {N}, {T}, {M}. So, the loading types are axial force, shear force, and bending moment.
Step 2: Draw the cross-sectional diagram of the beam. We need to draw the diagram of the cross-section of the beam in the direction of the forces acting on the beam. In this case, it will be a rectangular beam.
Step 3: Draw the effect diagrams After drawing the cross-sectional diagram, we need to draw the effect diagrams for each loading condition.
The effect diagrams are as follows: 1. Axial force diagram (N):In this case, the axial force is positive (+) which means it is a tensile force. 2. Shear force diagram (T):The shear force is negative (-) from x = 0 to x = 1, which means the shear force is acting downward. It is zero at x = 1 and then becomes positive (+) from x = 1 to x = 2, which means the shear force is acting upward. 3. Bending moment diagram (M):The bending moment is zero at x = 0, becomes negative (-) from x = 0 to x = 1, reaches a minimum at x = 1, and then becomes positive (+) from x = 1 to x = 2.
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gravel is being dumped from a conveyor belt at a rate of 20 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. how fast (in ft/min) is the height of the pile increasing when the pile is 11 ft high? (round your answer to two decimal places.)
Answer:
0.21ft/min
Step-by-step explanation:
\(\sf Volume \ at \ given \ time = \dfrac{dV}{dt}= 20 \ cubic \ feet /min\)
h = d
h = 2r
\(\sf r = \dfrac{h}{2}\)
Volume of heap = (1/3) πr²h
\(\sf V =\dfrac{1}{3}\pi r^2h\\\\V =\dfrac{1}{3}\pi (\frac{h}{2})^2h\\\\V =\dfrac{1}{3}\pi \dfrac{h^2}{4}*h\\\\V=\dfrac{1}{12}\pi h^3\)
Take derivative w.r.t time,
\(\sf \dfrac{dV}{dt}=\dfrac{1}{12}\pi * 3h^2 \dfrac{dh}{dt}\)
h = 11 ft
\(\sf 20 = \dfrac{1}{12}\pi *3*11*11*\dfrac{dh}{dt}\\\\20=\dfrac{121}{4}\pi \dfrac{dh}{dt}\\\\\)
\(\sf \dfrac{20*4}{121*\pi }=\dfrac{dh}{dt}\\\\ \dfrac{80}{120*3.14}=\dfrac{dh}{dt}\)
\(\sf \dfrac{dh}{dt}=0.21\)
The height is increasing at the rate of 0.21 ft/min
which of the following statements regarding time-series methods is false? group of answer choices a weighted moving average with weights of 0.5 and 0.5 is identical to a simple moving average of two periods. exponential smoothing with an alpha equal to 1.00 is identical to a naive forecast. a naive forecast is identical to a simple moving average of one period. a simple moving average of three periods is identical to exponential smoothing with an alpha equal to 0.33.
Of the following statements regarding time-series methods, the statement that is false is a simple moving average of three periods is identical to exponential smoothing with an alpha equal to 0.33. (Option D)
In mathematics, a time series refers to a series of data points indexed or listed or graphed based on the time order. Generally, a time series is a sequence captured at successive equally spaced points in time and hence is a sequence of discrete-time data. Time-series methods are used in forecasting. It comprises of analytical methods in order to obtain meaningful statistics and other characteristics of the data. Time series forecasting is a model used to predict future values based on previously observed values. From the given options, the time-series methods that is false is is a simple moving average of three periods is identical to exponential smoothing with an alpha equal to 0.33.
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For the following four questions, a group of residents were asked about their support for a homeless shelter being opened in their neighborhood. They were also asked about how long they had lived in the neighborhood, with short term residency defined as less than three years and long-term as three years or more. Resident Neighborhood Tenure Supports Shelter 1 Short term Yes 2 Short term No 3 Long term Yes 4 Long term No 5 Short term Yes 6 Short term Yes 7 Long term No 8 Short term Yes 9 Short term Yes 10 Short term No Flag this Question Question 1 4 pts What is the probability of selecting a short term resident at random from this group? Flag this Question Question 2 4 pts What is the probability of selecting a resident who does not support the homeless shelter at random from this group? Flag this Question Question 3 4 pts What is the probability of selecting a long term resident who supports the homeless shelter at random from this group?
The probability of selecting a short term resident at random from this group is 7/10 or 0.7. This is because there are 7 short term residents out of a total of 10 residents in the group.
The probability of selecting a resident who does not support the homeless shelter at random from this group is 3/10 or 0.3. This is because there are 3 residents who do not support the homeless shelter out of a total of 10 residents in the group.
The probability of selecting a long term resident who supports the homeless shelter at random from this group is 1/10 or 0.1. This is because there is only 1 long term resident who supports the homeless shelter out of a total of 10 residents in the group.
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The measure of ∠DBE is (0.1x−32)° and the measure of ∠CBE is (0.3x−42)°. Find the value of x.
50
Step-by-step solution:
0.3x-42=0.1x-32
-0.1x
0.2x-42=-32
+42
0.2x=10
0.2
x=50
Please help ASAP!!!!,!!!
Answer:
-3
Step-by-step explanation:
9(2x + 5) + 6 = 6 + 3x
Do the distributive property first.
18x + 45 + 6 = 6 + 3x
Simplify the left side by adding like terms.
18x + 51 = 6 + 3x
Move the variables (x) to one side of the equation. I'm going to move the 3x to the left side by subtracting.
18x - 3x + 51 = 6
15x + 51 = 6
Move the constants to the others side. I'm going to subtract 51 from both sides.
15x + 51 - 51 = 6 - 51
15x = -45
Divide both sides by 15
15x/15 = -45/15
x = -3
Answer:
x = -3
Step-by-step explanation:
[Given]
9(2x + 5) + 6 = 6 + 3x
[Distrbute the 9]
18x + 45 + 6 = 6 + 3x
[Combine like terms on the left using addition]
18x + 51 = 6 + 3x
[Subtract 3x from both sides]
15x +51 = 6
[Subtract 51 from both sides to isolate the variable]
15x = -45
[Divide both sides by 15]
x = -3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
why is math important in ur own words?
Answer:
Helps with problem solving and trains your brain.
Step-by-step explanation:
Math is considered to be important because it is very important to know the fundamental math skills. These can be applied in say for example, financing, budget, and your bank accounts. Without having these basic math skills it will be hard to understand your money and keeping track of it. Also, math helps to build your brain with problem solving. It trains it to understand concepts.
Answer: Math is importent because we use it for a lot of things like cooking, shoping, taxe,s and houses payments.
Step-by-step explanation:
A rancher genotypes all of her 150 head of cattle. In her herd, 25 are A1A1, 75 are A1A2, and 50 are A2A2. Assuming there is random mating, no selection, no mutation, and no cattle are introduced into or removed from the population, what is the probability that the A1 allele will be fixed
The probability that the A1 allele will be fixed is 0.4167, or about 42%.
We are given that;
Number of head= 150
Now,
Substitute all known values into the equation from step 4, then solve for the unknown quantity. We know that N = 150, (A1A1) = 25, (A1A2) = 75, and (A2A2) = 50. Substituting these values into the equations for p and q, we get:
\($$p = \frac{2(25) + (75)}{2(150)}$$$$p = \frac{125}{300}$$$$p = 0.4167$$$$q = \frac{2(50) + (75)}{2(150)}$$$$q = \frac{175}{300}$$$$q = 0.5833$$\)
Substituting these values into the equation for Pfix, we get:
\($$Pfix = \frac{p}{p + q}$$$$Pfix = \frac{0.4167}{0.4167 + 0.5833}$$$$Pfix \approx \frac{0.4167}{1}$$$$Pfix \approx 0.4167$$\)
Therefore, by probability the answer will be 0.4167 or about 42%.
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As an estimation we are told 5 miles is 8 km.
Convert 36 km to miles.
Answer:
22
Step-by-step explanation:
Answer:
Step-by-step explanation:
I will first answer your question with the data you have provided, then offer two other ways to solve the problem with alternative data:
You have stated that 5 miles is approximately 8 kilometers. As a ratio this is 5 mi / 8 km
Now create a proportion :
5 mi / 8 km = X mi / 60 km
Miles is to kilometers as miles is to kilometers.
Now cross multiply to solve for X.
8 X = 300
X = 37.5 miles
There are several other ways we can answer this question
a color printer prints 37 pages in 12 minutes. how many minutes does it take per page?
Answer: 0.3243, or 0.32 minutes per paper
Step-by-step explanation:
Since the there are more papers than minutes, we know that this number will be a decimal.
You need to do 12/37 because there are 12 minutes of 37 papers. That means 12 divided by 37.
That would give you the total of 0.3243, or 0.32 if you are rounding.
P = 2(L + W)
Solve for L
Answer:
\(L = \frac{P}{2} - W \\ \)Step-by-step explanation:
P = 2( L + W)
To solve for L first divide both sides by 2
That's
\( \frac{P}{2} = L + W\)
Move W to the other side of the equation to make L stand alone
We have the final answer as
\(L = \frac{P}{2} - W \\ \)
Hope this helps you
Which of the following lists is in order from least
to greatest?
Answer:
B
Step-by-step explanation:
Ai Mi went to the store to buy some chicken. The price per pound of the chicken is $3.50 per pound and she has a coupon for $2.50 off the final amount. With the coupon, how much would Ai Mi have to pay to buy 3 pounds of chicken? Also, write an expression for the cost to buy pp pounds of chicken, assuming at least one pound is purchased.
Answer:
$8 for 3 pounds
cost for p pounds: 3.50p - 2.50
Step-by-step explanation:
Cost of 3 pounds:
Original cost = Cost per pound x 3
= 3.50 x 3
= 10.50
Coupon = 2.50
Final cost = Original cost - Coupon
= 10.50 - 2.50
= $8
Cost of p pounds:
Original cost = Cost per pound x p
= 3.50 x p
= 3.50p
Coupon = 2.50
Final Cost = Original Cost - Coupon
= 3.50p - 2.50
Without computing, select all of the expressions that have the same value as 81*(37 + 59).A. 81*(59 +37)B. (81.*37) + 59C. (81*37) + (81* 59)D. 81 + (37*59)E. (37 + 59)*81 please help will give brainlyist!!!!!!81 +(37.59)
We have
\(81(37+59)\)Using the associative, commutative, and distributive laws for sum and multiplication, we can see without computing that
A. 81*(59 +37) ----- same values
B. (81.*37) + 59 ------ incorrect
C. (81*37) + (81* 59) ---- same values
D. 81 + (37*59) ---- incorrect
E. (37 + 59)*81 ---- same values
A radioactive sample has a half-life of 12 hours. after hours, 4 milligrams of the sample remain. what is the initial amount of the radio-active substance?
After 18 hours the remaining quantity of the radioactive sample will be (A) 4.68 grams.
What are mathematical operations?An operation, also known as an "operand" or "argument," is a function in mathematics that converts zero or more input values into a clearly defined output value. The operation's arity is determined by the number of operands.Binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive inverse and multiplicative inverse, are the operations that are most frequently studied.So, original radioactive substance = 3000 grams.
Half-life = 3 hoursSo, a number of half-lives in 18 hours:
18/3 = 6Then, after 18 hours:
1/(2)⁶ ⇒ 1/64 × 300 = 4.6875 gramsTherefore, after 18 hours the remaining quantity of the radioactive sample will be (A) 4.68 grams.
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The correct question is given below:
300 grams of a radioactive sample has a half-life of 3 hours. After 18 hours, the remaining quantity will be:
(A) 4.68 gm
(B) 2.34 gm
(C) 3.34 gm
(D) 9.37 gm
use what you know about factor pair to complete the table
Answer:
See below
Step-by-step explanation:
\(1\cdot24=2\cdot12=3\cdot8=4\cdot6=24\)
Answer:
1. 24
2. 12
3. 8
4. 6
Step-by-step explanation:
2 x 12 = 24, 3 x 8 = 24, 4 x 6 = 24
On Monday, Caroline owed her Mom $350, she was able to pay back $200. Then she spent $23 for gasoline. She returned a sweater to Target and received a refund of $35. Then she spent $15 at the bookstore. Write one number sentence to show what happened on Monday. Then calculate how much money Caroline has now.
Answer:
$200 - $23 + $35 - $15 = $197
Step-by-step explanation:
Lux meter is an instrument consisting of a microphone, amplifier and indicating device, having a declared performance and designed to measure sound pressure levels. (True or False) 2) The number of pressure variations per second is called the frequency of sound. (True / False 3) Reverberation time calculations should be made for at least 4 octave bands. (True / False) 4) Optimum Reverberation time depends on the size of the total absorbance and surface of the room. (True / False)
The first three statements regarding the lux meter, pressure variations per second, and reverberation time calculations are false. The last statement regarding optimum reverberation time is true.
1. A Lux meter is not used to measure sound pressure levels, but rather to measure illuminance, which is the amount of light falling on a surface.
2. The number of pressure variations per second is called the frequency of sound. It is measured in Hertz (Hz) and is related to the pitch of the sound.
3. Reverberation time calculations are typically made for multiple octave bands, not just four. Octave bands divide the frequency range into logarithmic intervals, and considering more than four-octave bands provides a more accurate assessment of the room's acoustics.
4. The optimum reverberation time of a room depends on factors such as its size, total absorbance (amount of sound energy absorbed by surfaces), and surface characteristics. Different types of spaces, such as concert halls or recording studios, may require different reverberation times to achieve the desired acoustic characteristics.
In summary, the Lux meter is not used for measuring sound pressure levels, the frequency of sound is not referred to as the number of pressure variations per second, more than four-octave bands are typically considered for reverberation time calculations, and the optimum reverberation time depends on the size and surface characteristics of the room.
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Please help me step by step how to solve this quadratic equation 2a^2=-6+8a
The quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
To solve the quadratic equation 2a^2 = -6 + 8a, we need to rearrange it into standard quadratic form, which is ax^2 + bx + c = 0, where a, b, and c are coefficients.
Step 1: Move all the terms to one side of the equation to set it equal to zero:
2a^2 - 8a + 6 = 0
Step 2: The equation is now in standard quadratic form, so we can apply the quadratic formula to find the solutions for 'a':
a = (-b ± √(b^2 - 4ac))/(2a)
Comparing with our equation, we have:
a = (-(-8) ± √((-8)^2 - 4(2)(6)))/(2(2))
Simplifying further:
a = (8 ± √(64 - 48))/(4)
a = (8 ± √16)/(4)
a = (8 ± 4)/(4)
Now, we can calculate the two possible solutions:
a1 = (8 + 4)/(4) = 12/4 = 3
a2 = (8 - 4)/(4) = 4/4 = 1
Therefore, the quadratic equation 2a^2 = -6 + 8a has two solutions: a = 3 and a = 1.
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Which expression is the same as (5 × 15) – (5 × 8)? Select one: A. 5(15) – 8 B. 5(15 × 8) C. 5(15 + 8) D. 5(15 – 8)
Answer:
A
Step-by-step explanation:
Answer: D. 5(15 - 8)
Step-by-step explanation:
5 × 15 is 75 and 5 × 8 is 40. 75 subtracted by 40 is 35.
In D, We subtract 15 and 8 to get 7. 7 × 5 is 35.
What is the exponential regression equation to best fit the data where the y values
were rounded to the nearest integer.
Answer:
Plot the points on the graphing calculator, and then generate an exponential regression equation. That equation is
\(y = 11.77( {1.84}^{x} )\)
This equation is not one of the choices, so the closest equation is
\(y = 11.55( {1.85}^{x} )\)
Which answer choice correctly complete the sentence? Asking the "Did you Check" questions is an important step in the Problem Solving Plan because you can A. determine if your answers are reasonable. B. organize your thoughts. C. understand the problem better. D. define your strategy easier.
Answer:
A
Step-by-step explanation:
Checking something is a way to see if your answer is reasonable.
In a histogram, the vertical line (dimension) shows the _____________, while the horizontal line (dimension) shows the _______________.
In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.
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p l e a s e h e l p
(Only spaced it cus I needed 20 characters, danke)
Answer:
y = 63
Step-by-step explanation:
A straight line is equal to 180 degrees.
180 = 2y - 18 + y + 9
180 = 3y -9
189 = 3y
189/3
y = 63
Answer:
63
Step-by-step explanation:
2y-18+y+9=180 degrees
3y-9=180 degrees
3y=189 degrees
y=63 degrees
A candy store sells 25 types of candy. Out of these 25 types, 12 contain chocolate. What percent of the candy types sold contain chocolate?
Answer:
Step-by-step explanation:
\(Percentage of chocolate candy = \dfrac{12}{25}*100\\\\ = 12*4\\\\\)
= 48%
During a math game, a team kept track of their answers. The following diagram describes the number of answers they got right to the number they got wrong
Help...... ._. ........ Me