Answer:
56
Step-by-step explanation:
y = 3x2 + 2x + 1 linear or nonlinear?
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
for me the answer was c not sure if you will get it correct but again the answer for me was C
Step-by-step explanation:
a cube has a volume of 64cm cubed. What is the area of one face of the cube?
Answer:
96 cm squared
Step-by-step explanation:
Does anyone have the answer key to these proofs? They are Mrs. E Teaches Math introductory proofs. There are 14 total. I've done 1-9.
Statement 1: 2AB = AC
Reason 1: Given
--------------------------------------------
Statement 2: AC = AB+BC
Reason 2: Segment addition postulate (which your teacher abbreviated to "Seg + Post")
--------------------------------------------
Statement 3: 2AB = AB+BC
Reason 3: Substitution
--------------------------------------------
Statement 4: 2AB-AB = AB+BC-AB
Reason 4: Subtraction Property of Equality
---------------------------------------------
Statement 5: AB = BC
Reason 5: Combine like terms
----------------------------------------------
Notes:
The first reason is "given" since we just simply restate what the instructions provide. If you are given multiple items, you list each one at a time. The segment addition postulate is where we break a line into smaller parts and then build it back together.Substitution is simply replacement. We've replaced AC with 2AB.The subtraction property of equality is the idea where we subtract the same thing from both sides. In statement 4, we're subtracting AB from both sides.The last statement of any proof is always the thing we're trying to prove. Once we reach such a statement, there's no need to go any further since the proof has concluded.1.)The density of gold is 19.3 g/cm3. What is this value in kilograms per cubic meter? a. 193×104 kg/m 3
b. 1.93×104 kg/m3
c. 19.3×104 kg/m 3
d. 1.93 kg/m 3
2.) The most powerful engine available for the classic 1963 Chevrolet Corvette Sting Ray developed 360 horsepower and had a displacement of 327 cubic inches. Express this displacement in liters (L) by using only the conversions 1 L=1000 cm 3
and 1in.=2.54 cm. a. 5.36 L b. 4.36 L c. 3.36 L d. 6.36 L 3.) If an object accelerates with a constant acceleration of 4 m/s 2
for 1 hour, its velocity will be: a. 14.4 km/s b. 17.28 km/s c. 1.44 km/s d. 1.728 m/s
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I need the answer soon please help. 20 points
Divide. −3 6/8 Enter your answer as a mixed number, in simplified form, in the box.
Answer:
The solution is in the image
Find an equation of the tangent line to the curve at the given point.
y=(1+2x)^12, (0,1)
The equation of the tangent line to the curve y = (1 + 2x)¹² at the point (0, 1) is y = 24x + 1.
To find the equation of the tangent line to the curve at the given point, we need to determine the slope of the tangent line and then use the point-slope form of a linear equation.
Given the equation of the curve: y = (1 + 2x)¹² and the point (0, 1), we can find the slope of the tangent line by taking the derivative of the curve with respect to x.
Let's differentiate y = (1 + 2x)¹²:
dy/dx = 12(1 + 2x)¹¹ * 2
At the point (0, 1), x = 0. Substituting this value into the derivative, we have:
dy/dx = 12(1 + 2(0))¹¹ * 2
= 12(1)¹¹ * 2
= 12 * 2
= 24
So, the slope of the tangent line at the point (0, 1) is 24. Now we can use the point-slope form to find the equation of the tangent line:
y - y₁ = m(x - x₁)
Plugging in the values: x₁ = 0, y₁ = 1, and m = 24, we have:
y - 1 = 24(x - 0)
Simplifying, we get:
y - 1 = 24x
Finally, let's rewrite the equation in slope-intercept form (y = mx + b):
y = 24x + 1
Therefore, the equation of the tangent line to the curve y = (1 + 2x)¹² at the point (0, 1) is y = 24x + 1.
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how to do estimate 81=25+8x
Answer:
None
Step-by-step explanation:
It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0
There are 20 employees who work in my department—Planning and Knowledge Management. Four employees will be selected to participate in specialized training. How many selections are possible? Now what if I want to select 4 employees to attend different conferences. The first problem will go to a conference in Orlando, the second to Miami, the third to Tallahassee and the fourth to Gainesville for a conference. How many selections are possible?
Using permutation there are 116,280 potential combinations of 4 employees that might go to the 4 conferences.
The number of selections possible for the first problem, where 4 employees are selected to participate in specialized training from a group of 20 employees, can be found using the combination formula:
C(20, 4) = 20! / (4! × (20 - 4)!) = 4845
Therefore, there are 4845 possible selections of 4 employees for the specialized training program.
For the second problem, we need to select 4 employees to attend 4 different conferences.
The order of selection matters, since each employee, will be attending a different conference.
Therefore, we need to use the permutation formula:
P(20, 4) = 20! / (20 - 4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116280
Therefore, there are 116,280 possible selections of 4 employees to attend the 4 different conferences.
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Calculate the geometric mean return of the following data set: (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
The geometric mean return of the given data set is 0.02.
The geometric mean return measures the compound rate of return over a period of time. It is calculated by taking the product of all the returns and then taking the nth root of the product, where n is the number of returns.
Formula: GMR = ((1+r1)(1+r2)…(1+rn))^1/n – 1
In this case, the data set is as follows:
r1 = 0.05
r2 = 0.03
r3 = -0.02
Using the formula above, the geometric mean return is calculated as:
GMR = ((1+0.05)(1+0.03)(1-0.02))^1/3 - 1
GMR = ((1.05)(1.03)(0.98))^1/3 - 1
GMR = (1.1394)^1/3 - 1
GMR = 0.0204
Therefore, the geometric mean return of the given data set is 0.02.
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write three equations of lines with a positive slope
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
Here, we have,
I put the height of people on the x-axis because this is what I am trying to correlate the arm span to. I put the arm span on the y-axis because it is dependent on height.
I used point (60,61) and (70,72) to draw the line of best fit and to get the equation. First, to get the slope I would use the slope formula of m = 72-61/70-60 or 11/10 to get a slope of approximately 1.1. Then I used (60,61) to get the rest of the equation by plugging it in: y-61 = 1.1(x -60). This becomes y-61 = 1.1x - 66. Add 61 to both sides and the final equation is y = 1.1x – 5.
The slope represents the rate of change arm span based on height. The y intercept is the arm span.
Using points (66,68) and points (70,72) I plug each into the equation y=1.1x-5 to figure each out based on the difference from the actual points and get .4 for (66,68) and 0 for point (70,72) so I would say, based on .4 and 0 for these two points that this is a good line of best fit.
Based on this data, for every inch in height, the arm span increases by 1.1 inches.
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complete question:
There are many measurements of the human body that are positively correlated. For example, the length of one's forearm (measured from elbow to wrist) is approximately the same length as the foot (measured from heel to toe). They are positively correlated because, as one measurement increases, so does the other measurement.
Please help!!!!!!!!!!! Picture below
1. 761/24
2. I don’t understand either u change it to an mix number or it’s already simplified.
Use the replacement set {4, 8, 21} to find the solution of the equation
7n - 4 = 24.
Answer:
n=4
Step-by-step explanation:
7n - 4 = 24
24 + 4 = 28
7n = 28
n = 4
OR plug in the sets you gave and see if they equal 24
Tree Cutting Problem An Investigation (T/I) I The value of the wood in a tree over time is given by V(t) 224, where Vis the current value of the wood in the tree in S and t is time in years. Ft We have, the discount factor a) Write an equation for the present value of the wood in the tree, A(t) (2 marks) b) Rewrite the present value equation using the natural logarithm (2 marks) c) We want to maximize the present value of the wood, find the first order conditions for a maximum and solve fort". (4 marks) d) If the discount rate, ris 4%, when should we cut the tree down? (2) e) Use the second order conditions to verify that you have indeed found a maximum (2)
a) The present value of the wood in the tree, A(t), can be expressed using the given discount factor F as:
A(t) = V(t) / (1 + r)^t
Where V(t) represents the value of the wood in the tree at time t, and r is the discount rate.
b) To rewrite the present value equation using the natural logarithm, we can use the property of logarithms that states log(a/b) = log(a) - log(b):
A(t) = V(t) * (1 + r)^(-t)
ln(A(t)) = ln(V(t)) - t * ln(1 + r)
c) To find the first-order conditions for maximizing the present value of the wood, we need to differentiate the equation from part (b) with respect to time t and set it equal to zero:
d/dt [ln(A(t))] = d/dt [ln(V(t)) - t * ln(1 + r)] = 0
Solving for t in the above equation will give us the value of t that maximizes the present value of the wood.
d) If the discount rate r is 4%, we can substitute this value into the equation from part (b) and solve for t:
ln(A(t)) = ln(V(t)) - t * ln(1 + 0.04)
Given the specific values for V(t) and A(t) are not provided, we cannot determine the exact value of t in this case.
e) To verify that we have indeed found a maximum, we can use the second-order conditions. This involves taking the second derivative of ln(A(t)) with respect to t and evaluating it at the critical point (t-value obtained from part (c)).
If the second derivative is negative at the critical point, it confirms that the present value of the wood is maximized.
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PLEASE HELP I WILL GIVE YOU BRAINLIEST ANSWR!!!!!!
Answer:
Domain: (- infinity, infinity) Range: (-infinity, infinity)
Step-by-step explanation:
ok. look at the x axis.. the graph goes on forever... now y axis, it continues so both are infinity.
16th term of an arithmetic sequence having a = 0 and d equals -4 as what
The 16th term of the arithmetic sequence is -60.
To find the 16th term of an arithmetic sequence with a first term of 0 and a common difference of -4
we can use the formula for the nth term of an arithmetic sequence:
nth term = a + (n - 1)d
where:
a = first term
d = common difference
n = term number
Substituting the given values, we have:
16th term = 0 + (16 - 1) × (-4)
= 0 + 15(-4)
= 0 - 60
= -60
Therefore, the 16th term of the arithmetic sequence is -60.
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sequence
an = 3n² -2; a14 = ______
Answer:
586
Step-by-step explanation:
To find a₁₄ , substitute n = 14 into the n th term formula
a₁₄ = 3(14)² - 2 = 3(196) - 2 = 588 - 2 = 586
The table shows the number of cell phone towers a
company will build as the number of its customers
increases. Complete a and b below.
Cell Phone Towers
Customers (thousands) Towers
5.25
273
6.25
325
7.25
377
9.25
481
a. Is the relationship between number of towers and number of customers proportional? Explain.
Choose the correct answer below and, if necessary, fill in the answer box to complete your choice.
OA. No. The ratios of towers to customers are not all equivalent.
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of
Answer:
The correct option is;
B. Yes. The ratios of towers to customers (thousands) are all equivalent to a unit rate of 52 Towers/(Thousand customers)
Step-by-step explanation:
The given data can be presented as follows;
Cell Phone Towers
Customer (thousands) \({}\) Towers
1) 5.25 \({}\) 273
2) 6.25 \({}\) 325
3) 7.25 \({}\) 377
4) 9.25 \({}\) 481
From the given data, we have the ratio Towers/Customer (thousands) given as follows;
For 1), we have;
273 Towers/(5.25 thousands customers) = 52 Towers/(Thousand customer)
For 2), we have;
325 Towers/(6.25 thousands customers) = 52 Towers/(Thousand customer)
For 3), we have;
377 Towers/(7.25 thousands customers) = 52 Towers/(Thousand customer)
For 4), we have;
481 Towers/(9.25 thousands customers) = 52 Towers/(Thousand customer)
Therefore, the ratios of towers to customers (thousands) all have the same equivalent unit rate of 52 Towers/(thousand customers).
what is the answer to 5 x 4 + 100 - 60
Answer:
60
Step-by-step explanation:
5 x 4 + 100 - 60 ( we have to multiply and divide first )
20 + 100 -60
20 + 40
60
Answer:
\(5 \times 4 + 100 - 60\)
\(20 + 100 - 60\)
\(120 - 60\)
\(60\)
long division help on 2,3, and 5 they are all lay out how they suppose to i jus need help
The quotients of the long division expressions are 6x^2 + 2x - 6, 7x^3 - 4x^2 + 6x + 10 and 7x^3 + x^2 - 5x - 8
Evaluating the long division expressionsPolynomial set up 2
The long division expression is represented as
x + 5 | 6x^3 + 32x^2 + 4x - 21
So, we have the following division process
6x^2 + 2x - 6
x + 5 | 6x^3 + 32x^2 + 4x - 21
6x^3 + 30x^2
--------------------------------
2x^2 + 4x - 21
2x^2 + 10x
-------------------------------------
-6x - 21
-6x - 30
------------------------------------------
9
Polynomial set up 3
The long division expression is represented as
2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29
So, we have the following division process
7x^3 - 4x^2 + 6x + 10
2x - 3 | 14x^4 - 29x^3 + 24x^2 + 2x - 29
14x^4 - 21x^3
--------------------------------
-8x^3 + 24x^2 + 2x - 29
-8x^3 + 12x^2
-------------------------------------
12x^2 + 2x - 29
12x^2 - 18x
------------------------------------------
20x - 29
20x - 30
------------------------------------------
1
Polynomial set up 5
The long division expression is represented as
2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8
So, we have the following division process
7x^3 + x^2 - 5x - 8
2x - 1 | 14x^4 - 5x^3 - 11x^2 - 11x + 8
14x^4 - 7x^3
--------------------------------
2x^3 - 11x^2 - 11x + 8
2x^3 - x^2
-------------------------------------
-10x^2 - 11x + 8
-10x^2 + 5x
------------------------------------------
-16x + 8
-16x + 8
------------------------------------------
0
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WILL GIVE 30 points. The GRE is an entrance exam that many students are required to take in order to apply to graduate school. In 2014, the combined scores for
the Verbal and Quantitative sections were approximately normally distributed with a mean of 310 and a
standard deviat o of 12.
What is the probability that a randomly selected score is greater than 334? Write your answer as a decimal.
Answer:
The answer is 0.0228. Have a good day!
Answer:it’s 0.025
Step-by-step explanation:
Ano ang pinaka magandang lugar sa buong mundo
Answer:
Ang pinakamagandang lugar sa mundo ay ang Bora Bora
Step-by-step explanation:
plz help asap i will give u brainlist
Answer: (1,50) (2,100) (3,150) (4,200) (5,250) (6,300) (7,350) (8,400) (9,450)
Step-by-step explanation:
Find the length of side X
Answer:
\( \sqrt{3} \)
Step-by-step explanation:
- since it's an isosceles triangle, the other two angle is the same, so 180-90÷2=45
- i use SOH, CAH, TOA rule and in this case, i use SOH.
Answer:
x = √3
Step-by-step explanation:
Let us use the Pythagoras theorem to find the value of x.
Accordingly,
x² + x² = (√6)²
2x² = 6
Divide both sides by 2.
x² = 3
Put square roots on both sides.
x = √3
find the value of x. What kind of angles are these?
Answer:
\(\displaystyle Corresponding\:Angles; 40 = x\)
Step-by-step explanation:
Corresponding Angles are congruent, therefore you set both angle measures equal to each other:
\(\displaystyle 135° = [3x + 15]° → 120 = 3x; 40 = x\)
I am joyous to assist you at any time.
Hey there!
The answer to your question is \(x = 40\)
These are two parallel lines cut by a transversal, which means that they are corresponding angles and, therefore, \((3x + 15)\) is equal to \(135\)°:
\(3x + 15 = 135\)
Subtract \(15\) from both sides:
\(3x = 120\)
Divide both sides by \(3\):
\(x = 40\)
Have a terrificly amazing day!
Pls help me with this !? I need help with 8.
Answer:
b = 2
Step-by-step explanation:
work shown in picture
Hope this helps! Pls give brainliest!
if a number is added to the numerator of (11)/(35) and twice the number is added to the denominator of (11)/(35), the resulting is equivalent to (1)/(3). find the number
For the statement to happen, the number should be 2.
An algebraic expression is is defined as the combination of numbers and variables in solving a particular mathematical question. Variable, usually letters, are used to denote the unknown quantity.
Let x = number
Based on the information given, add the number to the numerator of 11/35 and add twice the number to the denominator of 11/35, and the result should be equal to 1/3.
Hence, (11 + x) / (35 + 2x) = 1/3.
Simplify and solve for the value of x.
3(11 + x) = (35 + 2x)
33 + 3x = 35 + 2x
3x - 2x = 35 - 33
x = 2
number = 2
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If the allowable bearing stress for the material under the supports at A and B is σ
b
=840psi, determine the maximum load P
max
that can be applied to the beam. The bearing plates each have square cross sections of 4in. by 4in. The reactions at the supports are vertical. Assume w=550lb/ft,a=12ft, and b=6ft.
Answer:
Step-by-step explanation:
its 212123s\
Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.
Answer:
3920 - 36x ≤ 500
Step-by-step explanation:
Calista worked all summer to save for spending money while she is away for college. She goes off to college with $3920 in her savings account. She wants to have at least $500 left in her account at the end of her 36-week school year. Write an inequality to represent this situation.
Let the amount of money spent in 36 weeks = x
At least = Less than or equal to = ≤
$3920 - 36x ≤ $500
Hence, the inequality to represent this situation is written as:
3920 - 36x ≤ 500
Khalid makes an investment at 4% simple interest. at the end of 1 year, the total value of the investment is $1560. how much was originally invested
Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit. If Khalid makes an investment at 4% simple interest. at the end of 1 year, the total value of the investment is $1560. Then the original investment is $1500.
What is simple interest?Simple interest refers to the straightforward crediting of cash flows associated with some investment or deposit.
Percent to decimal 4%=4/100=0.04
A=P(1+rt)
where A is the final amount
P is initial principle balance, t is time and r rate of interest.
1560=P(1+0.04)
1560=1.04P
P=1560/1.04
P=1500
Therefore $1500 is originally invested.
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