Answer:
3 3/4 i think
the two thickest books are:
\(\tt 1\dfrac{6}{8}~and~2\)
the total:
\(\tt 1\dfrac{6}{8}+2=\dfrac{14}{8}+\dfrac{16}{8}=\dfrac{30}{8}=3\dfrac{6}{8}=3\dfrac{3}{4}\)
If 20 is subtracted from a number, the result is less than 7.
a) State the inequality in symbols.
b) Solve the inequality for x
Step-by-step explanation:
We have x - 20 < 7, so
x < 27.
expressions that are tested by the if statement are called ______
Expressions that are tested by the 'if' statement is called conditions.
A condition is an expression that evaluates to either 'True' or 'False', and it determines whether the code block within the 'if' statement is executed. The 'if' statement allows the program to make decisions and execute different codes based on whether the condition is 'true' or 'false'. For example, in Python, an 'if' statement might look like this:
if x > 10:
print("x is greater than 10")
In this example, the condition being tested is 'x > 10', which will evaluate as 'True' or 'False' depending on the value of x. If the condition is 'True', then the code block within the 'if' statement (in this case, the print statement) will be executed. If the condition is 'False', then the code block within the 'if' statement will be skipped.
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PLS HELP ASAP!! WORTH 30 POINT,PLS TRY TO BE ORGANIZED AND IF U CAN MAYBE DO IT ON PAPER SO ITS EASIER LIKE JS SOLVE IT ON PAPER W/O NO EXPLANATION OR ON HERE W EXPLANATION.SHOW UR WORK PLS SOLVE INEQUALITIES WITH INTEGERS, Q:#12-#15 THANK UU(:
The range of x are;
1. x < -30
2. x > 8
3. x > 15
4. x < -2
What is inequality?A relationship between two expressions or values that are not equal to each other is called 'inequality.
1. -130 > 50x +20
-130-20> 50x
-150 > 50x
-150/50 > x
-30 > x
x < -30
2. -8(x-3) < -40
-8x +24< -40
collect like terms
-8x < -64
x > -64/-8
x > 8
3. 2x - 22 > 8
collect like terms
2x > 30
divide both sides by 2
x > 30/2
x > 15
4. -35 < -5(x+9)
-35 < -5x -45
collect like terms
10 < -5x
-2 > x
x < -2
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Help please I need this done
Step-by-step explanation:
the answer is in the above image
Answer:
61°
Step-by-step explanation:
(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD
x°+18°=4x°-15°
18°+15°=4x°-x°
33°=3x°
33°/3°=3x°/3°
11=x
angle ABD
90°-(x+18)°. the sides of a rectangle meet at 90°
90°-(11+18)°
90°-(29)°
90°-29°
61°
please help me with my math problem
Answer:
A
Step-by-step explanation:
sin 32=29.2/x
x=29.2/sin 32
Answer:
\(A.\:\:x =\frac{29.2}{\sin (32)\degree}\)
Step-by-step explanation:
\(\huge \sin 32\degree =\frac{29.2}{x}\)\(\huge\implies x =\frac{29.2}{\sin (32)\degree}\)Suppose that the functions f and g are defined as follows. f(x) = 4 / x+9 g(x) = 5/x Find f/g. Then, give its domain using an interval or union of intervals. Simplify your answers.
(f/g)(x)= ___
Domain of f/g : ___
The functions f and g are defined f(x) = 4 / x+9 g(x) = 5/x. then
(f/g)(x) = (4x) / (5(x+9))
Domain of (f/g): (-∞, -9) ∪ (-9, +∞)
To find (f/g)(x), we divide f(x) by g(x):
(f/g)(x) = f(x) / g(x) = (4/(x+9)) / (5/x)
To simplify this expression, we can multiply the numerator and denominator by the reciprocal of the denominator:
(f/g)(x) = (4/(x+9)) * (x/5) = (4x) / (5(x+9))
The domain of (f/g)(x) is determined by the values of x for which the expression is defined. In this case, the denominator (x+9) cannot be equal to zero because division by zero is undefined. So, we need to find the values of x that make (x+9) ≠ 0.
x+9 ≠ 0
x ≠ -9
Therefore, the domain of (f/g)(x) is all real numbers except -9. In interval notation, we can represent the domain as (-∞, -9) ∪ (-9, +∞).
In summary:
(f/g)(x) = (4x) / (5(x+9))
Domain of (f/g): (-∞, -9) ∪ (-9, +∞)
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What is (-5) the 2 is an exponent just so you know
Answer:
25
Step-by-step explanation:
(-5)^2
(-5)*(-5)
25
Answer:
25
Step-by-step explanation:
(-5)^2 = 25, since -5 x -5 is 25.
Now, if the -5 hadn't been in parenthesis, -5^2 would be read as -(5 x 5), and would equal -25.
Brainliest, please! I'm so close to becoming an Expert!
Suppose that Sam has vNM utility function u, which is known at two points: u(100) = 1 and u(200) = 2. When facing a lottery L1 = ( £100, w.p. 0.6 £200, w.p. 0.4 , Sam tells the max amount he is willing to pay for this lottery is £120. (a) What is Sam’s expected utility for the lottery L2 = ( £100, w.p. 0.6 £120, w.p. 0.4 ? [15 marks] (b) What is Sam’s risk preferences? [15 marks]
(a) Expected utility is calculated as the weighted average of the utilities of all possible outcomes.
According to the problem, Sam's utility function is u(100) = 1 and u(200) = 2.
The lottery L1 = ( £100, w.p. 0.6; £200, w.p. 0.4 ) has two outcomes with the probabilities of 0.6 and 0.4.
Therefore, the expected utility of the lottery L1 is:
Expected utility of L1 = 0.6 × u(100) + 0.4 × u(200)= 0.6 × 1 + 0.4 × 2= 1.4
Since Sam is willing to pay at most £120 for the lottery L1, this indicates that the expected utility of L1 is worth £120 to Sam. Thus:1.4 = u(£120)
Since we know u(100) = 1 and u(200) = 2, we can linearly interpolate to find u(£120):
u(£120) = u(100) + [(120 - 100)/(200 - 100)] × (u(200) - u(100))= 1 + [(120 - 100)/(200 - 100)] × (2 - 1)= 1.3
Therefore, the expected utility of the lottery L2 = ( £100, w.p. 0.6; £120, w.p. 0.4 ) is:
Expected utility of L2 = 0.6 × u(100) + 0.4 × u(£120)= 0.6 × 1 + 0.4 × 1.3= 0.78
So, Sam's expected utility for the lottery L2 is 0.78
.(b) The risk preferences of Sam can be determined by comparing the utility of the lottery L1 and the sure outcome that gives the same expected value as the lottery L1.
The expected value of the lottery L1 is:Expected value of L1 = 0.6 × £100 + 0.4 × £200= £140
Therefore, Sam needs to be indifferent between the lottery L1 and the sure outcome of receiving £140. Since the expected utility of L1 is 1.4, Sam's utility for receiving £140 must also be 1.4.
This can be represented as:u(£140) = 1.4From part (a), we know that u(£120) = 1.3.
Therefore, the difference between the two utility values is:u(£140) - u(£120) = 1.4 - 1.3= 0.1
The difference in utility is positive but not enough to reflect risk-loving behavior. Therefore, Sam is risk-averse.
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can you help me with this
Answer:57ft
Step-by-step explanation:
104 divided by 2+ 5=57ft
yeah Sure I Have Captured your solution In Image. hope you understand it
Solve the following system of equations graphically on the set of axes below.
y = x + 8
y = -1/2x+5
Plot two lines by clicking the graph. Click a line to delete it.
By graphing both equations on the same axis and findin where do they intercept, we willsee that the solution is (-2, 6).
How to solve the system of equations?Here we have the following system of equations:
y = x + 8
y = -(1/2)x+5
And we want to solve it graphically.
To solve it in that way, we just need to graph both equations on the same coordinate axis and find the ponit where the graphs intercept, that point will be the solution for the system.
The graph of the system of equations can be seen in the image below:
There, we can see that the lines intercept at the point (-2, 6), so that is the solution of our system.
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a shop ordered 13 boxes marbles each box contains six 10s of marbles each tin holds 45 marbles how many marbles does a shop order
Answer:
3510 marbles
Step-by-step explanation:
45 x 6 = 270
270 x 13 = 3510
Hope this helps :)
Answer:3510
Step-by-step explanation:
:)
x^3=-115 pleasess i need the answer now
Answer:
x = -∛115
Step-by-step explanation:
x^3 - (-115) = 0
= x^3 + 115
Factoring
(a+b) • (a^2-ab+b^2) =
a^3-a^2b+ab^2+ba^2-b^2a+b^3 =
a^3+(a^2b-ba^2)+(ab^2-b^2a)+b^3=
a^3+0+0+b^3=
a^3+b^3
(115 isn't a cube.)
Polynomial roots
P: -1, -5, -23, -115, 1, 5, 23, 115
Q: 1
P/Q: -1, -5, -23, -115, 1, 5, 23, 115
Divisor(s): None
In these sets of data, there are no rational roots shown.
Step-by-step explanation(part 2):
x^3 + 115 = 0
x^3 = -115
x = ∛-115
Negative numbers will always have real cube roots.
∛ -115 = ∛ -1 × 115 = ∛ -1 × ∛ 115 = (-1) × ∛ 115
Therefore,
x = -∛115
Find the measure of line segment DF.
A) 12
B) 13
C) 14
D) 15
As per the Intersecting Chords theorem, if two chords cross in a circle, the products of the chord segments' measures are equal. The measure of the line segment is DF is 14 units.
What is Intersecting Chords theorem?If two chords cross in a circle, the products of the chord segments' measures are equal.
As per the Intersecting Chords theorem, the product of DF and FB will be equal to the product of CF and FA, therefore,
DF×FB = CF×FA
(x+8) × 8 = 16 × 7
(x+8) = (16×7)/8
(x+8) = 14
Hence, the measure of the line segment is DF is 14 units.
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please help will mark brainliest
Answer: option d because it still has a negative sign from the numerator.
Step-by-step explanation:
I apologize if I am wrong I am a bit rusty with these problems
I guess you can report my answer if you want to but just letting you know that I am a little rusty
Compare the budgets of Hong Kong, United States of America, and
Korea based on your definition of a budget, in terms of contents,
formats, advantages, and disadvantages, etc.
The budgets of Hong Kong, the United States of America, and Korea differ in contents, formats, advantages, and disadvantages. While each budget has its strengths and weaknesses, they all aim to provide a clear and transparent financial plan for their respective countries.
A budget is a financial plan that estimates expected income and expenditure for a specific period. It may include income, expenses, debts, and savings. Budgets may vary from country to country and can be analyzed by comparing their contents, formats, advantages, and disadvantages. Here are the budgets of Hong Kong, the United States of America, and Korea:
Hong Kong Budget:United States Budget:
Contents: The US budget comprises revenue, expenditures, and deficit or surplus. It includes an analysis of taxes, social security, and Medicare.Format: The US budget is presented in a complex and lengthy format, including tables, graphs, and other financial documents.Advantages: The budget provides detailed information on tax expenditures and encourages public participation in the budget process.Disadvantages: The budget can be challenging to understand due to its complexity, and it may not provide an accurate depiction of federal spending.Korean Budget:
Contents: The Korean budget comprises revenue, expenditures, and surplus or deficit. It includes detailed information on taxes, social security, and public welfare.Format: The Korean budget is presented in a clear and concise format, including tables and charts to aid understanding.Advantages: The budget is easy to understand, and it promotes transparency and accountability. It also provides detailed information on social welfare expenditures.Disadvantages: The budget may not provide an accurate depiction of government spending, and it may not include information on hidden expenditures.Learn more about Budget:
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Solve, Hurry, Need Help
\( {x}^{2} - 15x + 26\)
Step-by-step explanation:
\({x}^{2} - 15x + 26\)
Factorize : What two numbers when added will give - 15 and when multiplied will give 26.
the number is - 13 and - 2
\( {x}^{2} - 2x - 13x + 26\)
Factor out x
\(x(x - 2) - 13(x - 2) \\ (x - 13)(x - 2)\)
Answer:
(x-13)(x-2)
Step-by-step explanation:
Factoring :
(x-13)(x-2)
\(x^2-13x-2x+26\) combine like terms
Because -13-2 gives you -15 and -13 mutiply -2 gives you positive 26
\(x^2-15x+26\)
I hope this helps you
How many Solutions does p + 9 = 2p - 3 have?
Answer:
P=12
Step-by-step explanation:
Kathy Is 12 years old and Ben is 16 years old. How many years ago was Ben three times Older than Kathy?
Setting up an equation to represent the scenario, we can conclude that Ben was 3 times older than Kathy 10 years ago.
Present age :
Kathy, k = 12 Ben, b = 16Serting up the equation thus :
Let the number of years = x
16 - x = 3(12 - x)
16 - x = 36 - 3x
Collect like terms
-x + 3x = 36 - 16
2x = 20
x = 10
Hence, Ben was 3 tines older than Kathy 10 years ago.
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if we put a marble in 10 ml of water how can we find its volume
please answer
i will mark brainliest
Answer: See below
Step-by-step explanation:
This relates to the usage of water displacement.
Have the 10 ml of water ready in a measuring flask (or any container that has a scale)Put the marble into the waterObserve how much did the water riseSubtract the current water level by the original 10 mlThe final answer would be the volume.------------------------------------------------------------------------
EXTRA (Only for advanced purposes, if you do not understand, it is totally fine)
Refer to the attachment below to finish the question.
Assuming the water levels are integer,
The original water level is 13.33 mlAfter the rock is put in, the water level is raised to 30 mlThen, we do the fourth step which is subtraction
30 - 13.33 = 16.66 mlHope this helps!! :)
Please let me know if you have any quesitons
CAN SOMEONE HELP ME ON THIS PLEASE AND THANK YOU.
Answer/Step-by-step explanation:
2/5 + 1/3
5 times 3 is 15, so 2*3 and 1*5
6/15 + 5/15
6+5 = 11, and 11/15 cannot be simplified so:
11/15
What are the coordinates of the vertex of the function f(x)=x2+ 10x-3?
O (-5. -28)
(-5, 28)
O (5,-28)
(5.28)
Answer:
(-5,-28)
Step-by-step explanation:
Use the vertex form y=a(x-h)^2
a=1
h=-5
k=-28
vertex=(h,k)
Answer: A. (-5, -28)
Step-by-step explanation:
f(x) = x² + 10x - 3
a=1 b=10
The axis of symmetry is the x-coordinate of the vertex:
\(AOS: x=\dfrac{-b}{2a}\quad =\dfrac{-(10)}{2(1)}=-5\)
Input x = -5 into the original equation to find the y-coordinate of the vertex:
f(-5) = (-5)² + 10(-5) - 3
= 25 -50 -3
= -28
x, y coordinate of the vertex is: (-5, -28)
Marjut has a carton containing 10 cans of soup. 4 cans are tomato
and the rest are pumpkin. She selects two cans at random without
looking at the labels.
a Find the probability that both cans are:
i tomato soup
ii pumpkin soup.
b Hence, find the probability that Marjut selects one can of each
flavour.
A) The probability of selecting a tomato soup can on the first draw = 4/10
The probability of selecting another tomato soup can on the second draw (without replacement) = 3/9
Hence, probability of selecting two tomato soup cans = (4/10) x (3/9) = 2/15The probability of selecting a pumpkin soup can on the first draw = 6/10
The probability of selecting another pumpkin soup can on the second draw (without replacement) = 5/9
Hence, probability of selecting two pumpkin soup cans = (6/10) * (5/9) = 1/3B) Probability of selecting one tomato soup can and one pumpkin soup can = probability of (i) + probability of (ii)
= 2/15 + 1/3
= 1/3
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CAN SOMEONE PLEASE HELP ME!!! I CAN"T FAIL THIS AGAIN!!
Answer:
A
Step-by-step explanation:
Answer:
C is your answer
The figure below shows a square ABCD and an equilateral triangle DPC:
ABCD is a square. P is a point inside the square. Straight lines join points A and P, B and P, D and P, and C and P. Triangle D
Ted makes the chart shown below to prove that triangle APD is congruent to triangle BPC:
Statements Justifications
In triangles APD and BPC; DP = PC Sides of equilateral triangle DPC are equal
In triangles APD and BPC; AD = BC Sides of square ABCD are equal
In triangles APD and BPC; angle ADP = angle BCP Angle ADC = angle BCD = 90° so angle ADP = angle BCP = 60°
Triangles APD and BPC are congruent SAS postulate
What is the error in Ted's proof? (1 point)
He writes the measure of angles ADP and BCP as 60° instead of 45°.
He uses the SAS postulate instead of AAS postulate to prove the triangles congruent.
He writes the measure of angles ADP and BCP as 60° instead of 30°.
He uses the SAS postulate instead of SSS postulate to prove the triangles congruent.
Answer:
Which of the following completes Ted's proof?
In square ABCD; angle ADC = angle BCD
In square ABCD; angle ADP = angle BCP
In triangles APD and BPC; angle ADC = angle BCD
In triangles APD and BPC; angle ADP = angle BCP\
The volume of this cube is 125 cm³. What is the length of each side?
Answer: 5
Step-by-step explanation: A cube has all lengths equal.
Volume is 125 find the cube root
Solve for x: 8 ≥ 5 - 12x
Find the y-intercept of the following equation. Simplify your answer.
3x + 2y = 8
The y-intercept of the equation is 4.
The equation of a line is
y = mx + c
x, y is the point on the line
m = slope of a line
c = y-intercept
As the equation of a line is 3x + 2y = 8.
We have to find the y-intercept of the equation.
3x + 2y = 8
2y = -3x + 8
y = -3/2x + 4
y = mx + c
So from this, we get the y-intercept
c = 4
Therefore the y-intercept of the equation is 4.
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could you help me please
Answer:
Angle PRQ = 28 degrees.
Step-by-step explanation:
Angles P and Q are the same! That's bc this is an isosceles triangle.
The total of all 3 angles = 180. So to find R, subtract the other 2 angles from 180.
So 180-76-76 = 28. That's angle R
Suppose payments were made at the end of each month into an ordinary annuity earning interest at the rate of 2.5%/year compounded monthly. If the future value of the annuity after 10 years is $60,000, what was the size of each payment? (Round your answer to the nearest cent.) $
Answer:
Monthly payment= $440.71
Step-by-step explanation:
Giving the following information:
Mothly interest rate (i)= 0.025/12= 0.00208
Number of periods (n)= 12*10= 120 months
Future Value (FV)= $60,000
To calculate the monthly payment, we need to use the following formula:
Monthly payment= (FV*i) / [(1+i)^(n) - 1]
Monthly payment= (60,000*0.00208) / [(1.00208^120) - 1]
Monthly payment= $440.71
1. You spend $18 on breakfast and tax is 7%. Wha is your total?
Answer:
the answer is $20.33 I hoñe it helps