Answer:
117 - 120 < -3
-3 < -3
False no
because it is not above -3
Step-by-step explanation:
Answer: No
Step-by-step explanation:
x = 9
y = 6
13x - 20y < -3?
Substitute the values of x and y
13(9) - 20(6) < - 3?
117 - 120 < -3?
-3 </ -3
-3 = -3
(9, 6) is not a solution
Simplify the given expression below:
(3 + 4i) + (5 - 2i)
1) -2 + 6i
2) 2 - 2i
3) 7 +3i
4) 8 + 2i
Answer:
4) 8+2i
Step-by-step explanation:
When you expand you get 3+4i+5-2i
when you add the like terms you get 8+2i
Answer:
3
Step-by-step explanation:
The answer is 3 3+4 is 7 and 5-2 is 3
Find the height of a right rectangular prism with surface area 286 m 2 , length 10 m, and width 8 m.
please help qwq
Answer: Height=3.58
I used this formula h=V /lw
here to help :)
Nancy is trying to decide which cell phone plan would be the right one for her. She has
narrowed her choices down to two, Spirit and Horizon. Spirit (s) has a fixed fee of $20 and an
additional charge of 5 cents per minute. Horizon (h) has no fee and charges 15 cents per minute.
Write two equations that could be used to determine the total cost for each plan for 300 minutes?
A. s = 5x + 20
h=15x
B. s = 0.05x + 20
h = 0.15x
C. s = 15x
h = 5x + 20
D. s = 0.15x
h = 0.05x + 20
Find the missing link the triangle in each pair or similar
if they are similar triangles this means that the relation between the segments RP-FH and GF-RQ
so the first relation is:
\(\frac{72}{40}=1.8\)so the secon relation will be:
\(\begin{gathered} \frac{99}{?}=1.8 \\ \frac{99}{1.8}=? \\ 55=\text{?} \end{gathered}\)So the solution is numeral B)
(08. 03)
Consider the following pair of equations:
y = 3x + 3
y = x − 1
Explain how you will solve the pair of equations by substitution. Show all the steps and write the solution in (x, y) form. (5 points)
The solution to the system of equations is (-2, -3).
Solve one of the equations for one of the variables. In this case, we can solve the first equation for y to get y = 3x + 3.
Substitute that expression into the other equation. We can then substitute this expression into the second equation to get 3x + 3 = x - 1.
Solve the resulting equation. This simplifies to 2x = -4, so x = -2.
Substitute the solution to this equation back into one of the original equations to find the other variable. We can substitute the value of x = -2 into the first equation to get y = 3(-2) + 3 = -3.
Write the solution as an ordered pair. The solution to the system of equations is (-2, -3).
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Assist Please Figure 1 shows a skeleton of a self-equilibrium steel frame sculpture that will be built as a symbolic design at the University of West Utah. The steel frame is predicted to be subjected to a uniformly distributed load q, as shown in Figure 1. You are tasked to solve structural analysis problem of the steel structure sculpture as follows: b) Solve for/determine the vertical displacement at A and B if member AE and BD is found to be damaged.(Clearly state any assumptions you have made) L q kN/m TT kl q kN/m q kN/m kl q kN/m Figure 1:A self-equilibrium steel frame sculpture.
To solve for the vertical displacement at points A and B when members AE and BD are damaged, we need to make some assumptions and simplify the problem. Here are the assumptions:
The structure is statically determinate.
The members are initially undamaged and behave as linear elastic elements.
The deformation caused by damage in members AE and BD is negligible compared to the overall deformation of the structure.
The load q is uniformly distributed on the structure.
Now, let's proceed with the solution:
Calculate the reactions at points C and D:
Since the structure is in self-equilibrium, the sum of vertical forces at point C and horizontal forces at point D must be zero.
ΣFy = 0:
RA + RB = 0
RA = -RB
ΣFx = 0:
HA - HD = 0
HA = HD
Determine the vertical displacement at point A:
To calculate the vertical displacement at point A, we will consider the vertical equilibrium of the left half of the structure.
For the left half:
ΣFy = 0:
RA - qL/2 = 0
RA = qL/2
Since HA = HD and HA - RA = 0, we have:
HD = qL/2
Now, consider a free-body diagram of the left half of the structure:
|<----L/2---->|
| q |
----|--A--|--C--|----
From the free-body diagram:
ΣFy = 0:
RA - qL/2 = 0
RA = qL/2
Using the formula for vertical displacement (δ) in a simply supported beam under a uniformly distributed load:
δ = (5qL^4)/(384EI)
Assuming a linear elastic behavior for the members, we can use the same modulus of elasticity (E) for all members.
Determine the vertical displacement at point B:
To calculate the vertical displacement at point B, we will consider the vertical equilibrium of the right half of the structure.
For the right half:
ΣFy = 0:
RB - qL/2 = 0
RB = qL/2
Since HA = HD and HD - RB = 0, we have:
HA = qL/2
Now, consider a free-body diagram of the right half of the structure:
|<----L/2---->|
| q |
----|--B--|--D--|----
From the free-body diagram:
ΣFy = 0:
RB - qL/2 = 0
RB = qL/2
Using the formula for vertical displacement (δ) in a simply supported beam under a uniformly distributed load:
δ = (5q\(L^4\))/(384EI)
Assuming a linear elastic behavior for the members, we can use the same modulus of elasticity (E) for all members.
Calculate the vertical displacements at points A and B:
Substituting the appropriate values into the displacement formula, we have:
δ_A = (5q\(L^4\))/(384EI)
δ_B = (5q\(L^4\))/(384EI)
Therefore, the vertical displacements at points A and B, when members AE and BD are damaged, are both given by:
δ_A = (5q\(L^4\))/(384EI)
δ_B = (5q\(L^4\))/(384EI)
Note: This solution assumes that members AE and BD are the only ones affected by the damage and neglects any interaction or redistribution of forces caused by the damage.
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Arnulfo deposited $55 into a savings account. According to the rule of 72, what interest rate will cause his money to double in approximately 23 years?.
Interest rate will cause his money to double in approximately 23 years is 3.13%.
Given:
Arnulfo deposited $55 into a savings account and interest is in semi annually.
For 23 years the interest payments will be = 23*2
= 46
Interest rate = 2*72 / 46
= 144/46
= 72/23
= 3.13%
Therefore Interest rate will cause his money to double in approximately 23 years is 3.13%.
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Write 565,000 in scientific notation.AnswerX10
The given number is
\(565000\)The scientific notation of the number is,
\(5.65\times10^5\)Which statements are correct? Check all that apply.
Answer:a
Step-by-step explanation:
no me aparec e nada lo siento
Which category would have the lowest conditional relative frequency?
A. Men who prefer movies
B. Women who prefer movies
C. Women who prefer sports
D. Women who prefer dance
Simplifying fractions
Answer:
I can help!
Step-by-step explanation:
What fractions do you need to simplify?
Answer:
Step-by-step explanation:
4/8=1/2
5/10=1/2
50/100=1/2
3/4= can't be simplified
Hint:
Take any fraction, like 7/28.
the numerator and denominator ( N and D) are divisible by 7.
7/28=1/4
Try simplifying the following fractions:
6/36
5/25
7/49
9/81
Solve for L
Aaliyah borrowed some money from her friend in order to help buy a new video game system. Aaliyah originally borrowed $180 and agreed to pay back her friend $15 per week. Make a table of values and then write an equation for L, in terms of t, representing the amount Aaliyah owes her friend after t weeks.
It should be noted that the amount that Aaliyah owes her friend after t weeks will be L = 180 - 15t.
How to illustrate the information?It should be noted that from the information, Aaliyah borrowed some money from her friend in order to help buy a new video game system, she originally borrowed $180 and agreed to pay back her friend $15 per week
Therefore, the amount that Aaliyah owes her friend after t weeks will be:
= 180 - 15(t)
L = 180 - 15t.
where t = number of weeks
L = the amount left
Therefore, the amount that Aaliyah owes her friend after t weeks will be L = 180 - 15t.
The table will be:
Number of weeks Amount owed
1 $165
2. $150
3. $135
4. $120
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Given conversion factor what is the above line segment's unit
1 ft
measure in inches? Round your answer to the nearest tenth.
Answer here
Please help
24
Step-by-step explanation:\(Convert\ the\ unit\ for\ \frac{12in}{1ft}:\\ \downarrow\\ 24\)
I hope this helps you
:)
Angles A and B are supplementary angles. The mZA = (9x - 12) and the mZB = (24x + 60).
Answer:
/ A = 24°
/ B = 156°
Step-by-step explanation:
Supplementary angles add up to 180°.
_________________________________
Therefore, / A + / B = 180
(9x - 12) + (24x + 60) = 180
9x - 12 + 24x + 60 = 180
33x + 48 = 180
33x = 180 - 48
33x = 132
x = 132/33
x = 12/3
x = 4
_________________________________
/ A = (9x - 12)
= (9(4) - 12)
= (36 - 12)
= 24°
/ B = (24x + 60)
= (24(4) + 60)
= (96 + 60)
= 156°
_________________________________
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CPM homework 8.1.2 problem 8-19
The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
What is Area ?Area is the space occupied by a two dimensional object,
The area and perimeter of the given shape can be determined by dividing it into basic shapes.
The area and the perimeter of the shape given = Area of the rectangle +Area of upper triangle - Area of two small triangles at the bottom
Area of rectangle = 5 mi * 9 mi = 45 sq.mi
Area of upper Triangle = (1/2) *9*3 = 27/2 sq.mi
Area of small Triangle = (1/2) * 3*6 = 9 sq.mi
Area of other small Triangle = (1/2)*3*3 = 9/2 sq.mi
Area of the figure = 45 +13.5 -9-4.5
Area of the figure = 45 sq.mi
Similarly for Perimeter = Perimeter of the rectangle +Perimeter of upper triangle -Perimeter of two small triangles at the bottom
Perimeter = 28 -(3+6+6.708) -(3+3+4.2426) +(3+9+9.486
Perimeter = 23.5354 mi
Therefore , The area of the figure is 45 sq.mi and the perimeter is 23.5354 mi.
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plsss helppppp I need it right now plss :(
deadline now until 6:00pm and its 5:30pm here so plsss :(
Answer:
a) IJ is median
IJ = 1/2(HG + EF)IJ = 1/2(8 + 12) = 10 cmb) I is midpoint of HE, therefore, HI = IE
Substitute values and solve for x:
10 = x - 4x = 10 + 4x = 14 cmAnswer:
a) IJ is median
IJ = 1/2(HG + EF)
IJ = 1/2(8 + 12) = 10 cm
b) I is midpoint of HE, therefore, HI = IE
Substitute values and solve for x:
10 = x - 4
x = 10 + 4
x = 14 cm
Step-by-step explanation:
Jacob says that (12 + 31) × 5 is
equivalent to 12 + 31 x 5 because of the
associative property.
Describe the associative property
in words.
Determine if Jacob is correct. Justify
your answer.
Answer:
Step-by-step explanation:
the associative property means that when you are adding OR multiplying you can group the numbers however you want
Jacob is wrong because (12 + 31) x 5 = 215 and 12 + 31 x 5 = 167
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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What is (9/5 x 50)+32
Solve by factoring.
3a²=-4a+15
To solve the equation 3a² = -4a + 15 by factoring, we need to rewrite it in the form of a quadratic equation, set it equal to zero, and then factor it. The solutions to the equation 3a² = -4a + 15 are a = 5/3 and a = -3.
The equation 3a² = -4a + 15 can be rearranged as 3a² + 4a - 15 = 0. Now we can factor the quadratic expression.
To factor the quadratic expression, we need to find two numbers that multiply to give -45 and add up to +4. The numbers that satisfy these conditions are +9 and -5. So, we can write the equation as (3a - 5)(a + 3) = 0.
Setting each factor equal to zero, we have two possible solutions: 3a - 5 = 0 or a + 3 = 0.
Solving these equations, we find a = 5/3 or a = -3.
Therefore, the solutions to the equation 3a² = -4a + 15 are a = 5/3 and a = -3.
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Which equation is not equivalent to
2x + 15 = 35?
A. 4/5x=8
B.2x-5=x+25
C.2x+7=27
D.4/3x=x+10/3
Answer:
B.2x-5=x+25
Step-by-step explanation:
2x+15=35 x = 10
4/5x=8 x = 10
2x-5=x+25 x = 30
2x+7=27 x = 10
4/3x=x+10/3 x = 10
PLEASE HELP ASAP!!! 50 POINTS!!!
Answer:
The first ones the second one, and the second ones the third one.
Step-by-step explanation:
I think.
Answer:
#1 is 4, -4, 6, -6
#2 is 6, -3 + 3i√3, -3 -3i√3
Find the missing side of each triangle
Answer:
B) x = √118 mi
Step-by-step explanation:
This is a right triangle, so we can the measure of x using the Pythagorean theorem, which is
a^2 + b^2 = c^2, where
a and b are the shorter legs,and c is the hypotenuse (longest side opposite the right angleIn the figure, the sides measuring x mi and √26 mi are the legs, so we plug these in for a and b in the theorem,and the side measuring 12 mi is the hypotenuse, so we plug it in for c in the theorem:Step 1: Plug in x and √26 for a and b and 12 for c and simplify:
x^2 + (√26)^2 = 12^2
x^2 + 26 = 144
Step 2: Subtract 26 from both sides to isolate x^2:
(x^2 + 26 = 144) - 26
x^2 = 118
Step 3: Take the square root of both sides to isolate x:
√(x^2) = √118
x = √118 mi
2/3x+15=17 please and thank you
Answer:
x=3
Step-by-step explanation:
2/3x+15=17
first subtract 15 from both sides
2/3x=2
multiply by 3 to eliminate the fraction
2x=6
divide by 3
x=3
Answer:
x=3
Step-by-step explanation:
2/3x +15 = 17
2/3x = 17-15
2/3x = 2
x = 2 / 2/3
x = 2/1 * 3/2
x = 6/2
x = 3
State the explicit formula for the sequence below and find the 8th term.
-4, 16, -64, 256,...
O an = -4(4)n-1; n = 8 is-262,144
O an = -4(-4)-1; n = 8 is 65,536
O an = 4(4)n-1; n = 8 is 65,536
O a = 4(-4)n-1; n = 8 is 261,144
6.25 pts
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The explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
The given sequence is -4, 16, -64, 256,...
If we observe the sequence it is a geometric sequence
aₙ=a.rⁿ⁻¹
a is the first term and r is the common ratio
From the sequence the first term is -4 and common ratio is -4
aₙ=(-4).(-4)ⁿ⁻¹
Plug in the value n as 8
a₈=(-4).(-4)⁷
The value of minus four power seven is minus sixteen thousand three hundred eighty four
a₈=(-4)(-16384)
When four is multiplied with sixteen thousand three hundred eighty four we get sixty five thousand five hundred thirty six
a₈= 65536
Hence, the explicit formula for the sequence is aₙ=(-4).(-4)ⁿ⁻¹ and the 8th term is 65536
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How many terms with coefficients does the 5 + 9x ·
7 + 2x' have? What are they?
The given expression above is non linear
Polynomial functionsGiven the polynomial functions expressed as:
5 + 9x + 7 + 2x^414 + 9x + 2x^4There are 3 terms in all. From the functions, the term with variables are 9x and 2x^4 and the constant is 14, hence there are three terms with coefficients, and they are 14, 9 and 2
The given expression above is non linear due to the degree of 4 present in the function
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The graph shows the number of handbags that Mandy made in one day. What are the variables? Describe how the variables are related.
Help I'm terrible at math
What is the solution to this inequality?
7−14x>3
Answer:
I think the answer is x<2/7
Step-by-step explanation:
That's what i got.
Answer:
Step-by-step explanation:
x<2/7
In 2016, Alberta had about 4.2 million people.
Assuming they follow the same population
growth rate, it is predicted they will have 6.65
million people in 20 years. At what rate is the
province's population growing?
the population of province is growing at the rate of 2.91%
What is the formula of the rate of growth of a population?the formula of the rate of growth of a population =
[(future population- initial population/initial population)*100]/time
population in 2016 = 4.2 milllion = 4200000
Population predicted in 20 years = 6.65 million = 6650000
so, initial population = 4200000
future population = 6650000
rate of growth = {(6650000- 4200000/4200000)*100]/20
= 58.33/20
= 2.91%
the population is growing at the rate of 2.91%
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find the missing number pleasee i really need help
1. 6x - ? = 6
2. 6x - ? = 4x - 10
find the missing number where the ? is at .
Answer:
1) -1
2) -6.66666666667
Step-by-step explanation:
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