Answer:
Math is not a very easy subject and not everyone can master it.All that is needed are focus,dedication and confidence.You should try practicing in your weak areas or seek help to get a better understanding.
Step-by-step explanation:
I really hope this helps :)
yeh what that guy said
The sum of 2 times a number and 5 is equal to 6.
Answer:
0.5
Step-by-step explanation:
2x + 5 = 6
2x = 6 - 5
x = 6-5 / 2
x = 1/2
x = 0.5
Which answer choice correctly shows 579 written as a Roman Numeral? A. MLXXIV B. DLXXIX C. DLXXVIIII D. DLXXIV
...................///////////////////////
Answer:
2880 if u multiply
Step-by-step explanation:
make me the brainlest
plz
i need 3 more
crown me
a solid metal prism has a rectangular base with sides of 4 inches and a height of 6 inches. a hole in the shape of a cylinder, with a radius of 1 inch, is drilled through the entire length of the rectangular prism.
What is the approximate volume of the remaining solid, in cubic inches?
a. 19 cubic inches b. 77 cubic inches c. 96 cubic inches d. 93 cubic inches
The approximate volume of the remaining solid is option (b) 77 cubic inches
The volume of the rectangular prism is given by
V_rectangular prism = base area x height = 4 x 4 x 6 = 96 cubic inches
The volume of the cylinder is given by
V_cylinder = π x r^2 x h = π x 1^2 x 6 = 6π cubic inches
To find the volume of the remaining solid, we need to subtract the volume of the cylinder from the volume of the rectangular prism
V_remaining solid = V_rectangular prism - V_cylinder = 96 - 6π ≈ 77 cubic inches (rounded to the nearest whole number)
Therefore, the correct option is (b) 77 cubic inches
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use these functions a(x) =4x +9 and b(x) =3x -5 to complete the function operations listed below
Consider that we need to find \((a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x)\).
Given:
The functions are:
\(a(x)=4x+9\)
\(b(x)=3x-5\)
To find:
The function operations \((a+b)(x), (a-b)(x), (ab)(x),\left(\dfrac{a}{b}\right)(x)\).
Solution:
We have,
\(a(x)=4x+9\)
\(b(x)=3x-5\)
Now,
\((a+b)(x)=a(x)+b(x)\)
\((a+b)(x)=4x+9+3x-5\)
\((a+b)(x)=7x+4\)
Similarly,
\((a-b)(x)=a(x)-b(x)\)
\((a-b)(x)=4x+9-(3x-5)\)
\((a-b)(x)=4x+9-3x+5\)
\((a-b)(x)=x+14\)
And,
\((ab)(x)=a(x)b(x)\)
\((ab)(x)=(4x+9)(3x-5)\)
\((ab)(x)=12x^2-20x+27x-45\)
\((ab)(x)=12x^2+7x-45\)
And,
\(\left(\dfrac{a}{b}\right)(x)=\dfrac{a(x)}{b(x)}\)
\(\left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}\)
Therefore, the required functions are \((a+b)(x)=7x+4\), \((a-b)(x)=x+14\), \((ab)(x)=12x^2+7x-45\) and \(\left(\dfrac{a}{b}\right)(x)=\dfrac{4x+9}{3x-5}\).
The slope of EF¯¯¯¯¯ is −52.
Which segments are perpendicular to EF¯¯¯¯¯?
Select each correct answer.
NP¯¯¯¯¯¯, where N is at (−3, 4) and P is at (−8, 2)
GH¯¯¯¯¯¯, where G is at (6, 7) and H is at (4, 12)
JK¯¯¯¯¯, where J is at (3, −2) and K is at (5, −7)
LM¯¯¯¯¯¯, where L is at (1, 9) and M is at (6, 11)
Based on the above, the segments that are perpendicular to EF are LM and NP.
Why is the segment are LM and NP perpendicular to EF ?Note that when two lines are perpendicular, we can say that;
M1 * M2 = -1 As M1 and M2 are known to be the slopes of the lines.
Therefore, when the the slope of EF is said to be −5/2, then one can say that the slope of the segment that is said to be perpendicular to EF will have to be equal to m1*m2=-1, m2=-1/m1, m2=-1/(-5/2) or m2=2/5.
Scenario one:
JK , if J is at (3, −2) and K is at (5, −7)
To find the slope JK, then
m=(y2-y1)/x2-x1)
m=(-7+2)/(5-3)
m=-5/2
-5/2 is not equal to 2/5
Therefore, JK is not perpendicular to EF
Scenario 2
Find GH , when G is at (6, 7) and H is at (4, 12)
To find the slope GH
m=(y2-y1)/x2-x1)
m=(12-7)/(4-6)
m=5/-2
m=-5/2
Since -5/2 is not equal to 2/5 then GH is not perpendicular to EF
Scenario 3:
Find LM , If L is at (1, 9) and M is at (6, 11)
To find the slope LM, then
m=(y2-y1)/x2-x1)
m=(11-9)/(6-1)
m=2/5
Since 2/5 is equal to 2/5
Then LM is perpendicular to EF
Scenario 4:
Find NP , if N is at (−3, 4) and P is at (−8, 2)
To find the slope NP, then
m=(y2-y1)/x2-x1)
m=(2-4)/(-8+3)
m=-2/-5
m=2/5
Since 2/5 is equal to 2/5.
Therefore, NP is perpendicular to EF
Based on the above calculations, the segments that are perpendicular to EF are LM and NP.
See correct format of question written below
The slope of EF is −5/2 .
Which segments are perpendicular to EF?
Select all the right answers please
1. JK , where J is at (3, −2) and K is at (5, −7)
2. GH , where G is at (6, 7) and H is at (4, 12)
3. LM , where L is at (1, 9) and M is at (6, 11)
4. NP , where N is at (−3, 4) and P is at (−8, 2)
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Adelita, Elena, Betina, and Bianca each work as a doctor, lawyer, teacher, or banker. From these clues, decide who is the doctor.
Answer: Adelita
Step-by-step explanation:
because if its going in order of the names by jobs then its adelita
If x≠4 and x≠-4, the fraction x^2-8x+16/x^2-16 can be simplified to what?
For the given fraction x^2-8x+16/x^2-16 if x≠4 and x≠-4 the simplified fraction is (x-4)/(x+4).
Simplified fraction refers to the fractions in their lowest form which has been reduced and simplified. The numerator and denominator in the fraction are reduced in simplified fraction to the extent that the only common factor between them is 1.
In order to simplify the fraction (x^2-8x+16)/(x^2-16), first, we must factor the numerator and denominator of the fraction:
Numerator: x^2-8x+16 = (x-4)(x-4) = (x-4)^2
Denominator: x^2-16 = (x-4)(x+4)
So the fraction becomes:
(x-4)^2/(x-4)(x+4)
Next, we can simplify the fraction by canceling out the (x-4) term in the numerator and denominator:
(x-4)/(x+4)
Therefore, the simplified fraction is (x-4)/(x+4) if x≠4 and x≠-4.
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The graph of a limacon curve is given. Without using your graphing calculator, determine which equation is correct for the graph. a circular graph with an inner loop on the left [-5, 5] by [-5, 5] r = 3 + 2 cos θ r = 2 + 3 cos θ r = 2 + 2 cos θ r = 4 + cos θ
consider an infinitely long three-sided triangular enclosure with side lengths 2 cm, 3 cm, and 4 cm. the view factor from the 2 cm side to the 4 cm side is
The view factor from the 2 cm side to the 4 cm side of the infinitely long three-sided triangular enclosure is approximately 0.5.
The view factor (F) from Surface A to Surface B can be calculated using the formula:
F = A / (A + B)
where A and B are the areas of Surface A and Surface B, respectively.
The area of a triangle can be calculated using Heron's formula:
Area = sqrt(s * (s - a) * (s - b) * (s - c))
where s is the semi-perimeter of the triangle and a, b, and c are the side lengths of the triangle.
For Surface A:
a = 2 cm
b = 3 cm
c = 4 cm
s = (a + b + c) / 2 = (2 + 3 + 4) / 2 = 4.5 cm
Area_A = sqrt(4.5 * (4.5 - 2) * (4.5 - 3) * (4.5 - 4))
= √(4.5 * 2.5 * 1.5 * 0.5)
=√(5.625) ≈ 2.37 cm²
For Surface B:
a = 2 cm
b = 4 cm
c = 3 cm
s = (a + b + c) / 2 = (2 + 4 + 3) / 2 = 4.5 cm
Area_B = √(4.5 * (4.5 - 2) * (4.5 - 4) * (4.5 - 3))
= √(4.5 * 2.5 * 0.5 * 1.5)
=√(5.625) ≈ 2.37 cm²
Now we can calculate the view factor (F):
F = Area_A / (Area_A + Area_B)
= 2.37 / (2.37 + 2.37)
≈ 0.5
Therefore, the view factor from the 2 cm side to the 4 cm side of the infinitely long three-sided triangular enclosure is approximately 0.5.
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how do you convert centimeters to square millimeters?
Answer:
multiply the area value by 100
A cyclist rides 6.7 km east for 20.4 minutes, then he turns and heads west for 5.2 km in 5.6 minutes. Finally, he rides east for 13.5 km, which takes 36.6 minutes. Take east to be the positive direction.
Part (b) What is his average velocity in km/h?
The average velocity of the cyclist is approximately -34.0146 km/h, where the negative sign indicates that the cyclist moves in the West direction. Therefore, the option (a) is correct.
Given, East direction is taken as the positive direction. The displacement of the cyclist in the first half journey (i.e., towards East direction) is 6.7 km. Since, the cyclist changes the direction in the middle of the journey, the distance covered during the next half journey (i.e., towards West direction) is calculated separately as shown below.
Distance covered during second half journey (i.e., towards West direction)
Distance = 5.2 kmTime = 5.6 minutes = 0.0933 hours
Let us find the displacement of the cyclist in the second half journey using the formula, s = vt
Here, velocity, v = distance / time
Therefore, displacement, s = v * t = (5.2/0.0933) km = 55.725 km (in West direction)
Note that, the displacement is positive if the cyclist moves towards East direction, otherwise it is negative. The third half journey of the cyclist is again in East direction. The displacement of the cyclist in the third half journey (i.e., towards East direction) is 13.5 km.
Total displacement = Displacement in first half journey + Displacement in second half journey + Displacement in third half journey= 6.7 - 55.725 + 13.5 km= -35.525 km
Here, the negative sign indicates that the displacement of the cyclist is in West direction. Therefore, the displacement of the cyclist is 35.525 km in West direction. Let us calculate the time taken by the cyclist to travel this distance.
Total time taken by the cyclist to travel the whole journey= Time taken in first half journey + Time taken in second half journey + Time taken in third half journey= 20.4 + 5.6 + 36.6 minutes= 62.6 minutes= 1.0433 hours
Therefore, the average velocity of the cyclist, v = displacement / time= -35.525 / 1.0433 km/h≈ -34.0146 km/h
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(1 point) solve the initial value problem ay″ by=0y(0)=ay′(0)=b in terms of a, b, a, and b. you may assume a,b>0 . y(x)=
The solution is y(x) = ((a + b) / (2sqrt(b/a)))e^(sqrt(b/a)x) + ((a - b) / (2sqrt(b/a)))e^(-sqrt(b/a)x). To solve the initial value problem ay″ - by = 0, y(0) = a, y′(0) = b, in terms of the given parameters a and b (assuming a, b > 0), we can use the characteristic equation method.
The initial value problem can be rewritten as a second-order linear homogeneous differential equation ay″ - by = 0. To solve this equation, we assume the solution is of the form y(x) = e^(rx).
By substituting y(x) and its derivatives into the equation, we get the characteristic equation: ar^2 - br = 0. Factoring out r, we have r(ar - b) = 0.
Since a and b are positive, we assume ar - b = 0, leading to r = b/a. Therefore, the solution has the form y(x) = C₁e^(sqrt(b/a)x) + C₂e^(-sqrt(b/a)x), where C₁ and C₂ are constants.
Applying the initial conditions, we have y(0) = C₁ + C₂ = a and y′(0) = sqrt(b/a)C₁ - sqrt(b/a)C₂ = b.
Solving these equations simultaneously, we find C₁ = (a + b) / (2sqrt(b/a)) and C₂ = (a - b) / (2sqrt(b/a)).
Therefore, the solution to the initial value problem is y(x) = ((a + b) / (2sqrt(b/a)))e^(sqrt(b/a)x) + ((a - b) / (2sqrt(b/a)))e^(-sqrt(b/a)x).
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47. 2−6. 307 subtract tin tenths
Answer:
Step-by-step explanation:
40893/1000=40.89300
Georgie buys a pack of chocolate which has 18 small chocolate bars. She ate three bars in the morning, Later in the
day, Georgie's brother ate three fifth of the chocolates bar that were left, what fraction of the chocolate bars is left in
the packet?
Suppose you begin saving for your retirement by depositing $4,000 per year in an IRA. If the interest rate is 8%, how much will you have in 40 years?
Please show work on how to solve it
By saving $4,000 per year for 40 years in an IRA with an 8% interest rate, you would accumulate approximately $1,031,250.
To calculate the amount you will have in 40 years, you can use the formula for the future value of an ordinary annuity:
FV = P * [(1 + r)^n - 1] / r
Where:
FV = Future value
P = Annual deposit
r = Interest rate per period
n = Number of periods
In this case, P = $4,000,
r = 0.08 (8%), and
n = 40.
Plugging in these values, the formula becomes:
FV = 4000 * [(1 + 0.08)^40 - 1] / 0.08
Calculating the expression within the brackets:
(1 + 0.08)^40 = 21.725
Now, substituting this value into the formula:
FV = 4000 * (21.725 - 1) / 0.08
FV = 4000 * 20.725 / 0.08
FV = $1,031,250
Therefore, after 40 years of saving $4,000 annually with an interest rate of 8%, you will have approximately $1,031,250 in your IRA.
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After 40 years of saving $4,000 per year with an 8% interest rate, you will have approximately $459,625.60 in your retirement account.
To calculate the future value of your retirement savings after 40 years, you can use the formula for the future value of an ordinary annuity:
\(FV = P * [(1 + r)^n - 1] / r\)
Where:
FV = Future value
P = Annual deposit
r = Interest rate per period
n = Number of periods
In this case, P = $4,000, r = 0.08 (8%), and n = 40 years.
Plugging these values into the formula:
\(FV = 4000 * [(1 + 0.08)^40 - 1] / 0.08\)
Calculating this expression will give you the future value of your retirement savings after 40 years. Let's calculate it step by step:
\(FV = 4000 * [(1.08)^40 - 1] / 0.08\)
FV = 4000 * [9.6464 - 1] / 0.08
FV = 4000 * 8.6464 / 0.08
FV = 459,625.60
Therefore, after 40 years of saving $4,000 per year with an 8% interest rate, you will have approximately $459,625.60 in your retirement account.
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A node or event with duration of 0 days is a(n) ______________.
a. error
b. milestone
c. short term activity (less than 1 day)
d. zero sum game
A node or event with a duration of 0 days is a b. milestone
A milestone refers to an important event in a project that has a duration of zero days. It signifies the completion of a significant phase or task within the project. Milestones are numbers placed on roads, such as roads, railroads, canals, or borders. They can show distances to cities, towns, and other places or regions; or they can set their work on track with respect to a reference point.
They are found on the road, often by the roadside or in a warehouse area. They are also called mile markers (sometimes abbreviated MM), milestones, or mileposts (sometimes abbreviated MP). "mile point" is the term used for the medical field where distance is usually measured in kilometers rather than miles. "Distance marking" is a general term that has nothing to do with units.
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What value of x satisfies the equation below?
x +x=12
3 6
A. x=12
B. x=6
C. x=24
D. x=72
Find the length of the third side. If necessary, round to the nearest tenth.
17
15
Answer:
8
Step-by-step explanation:
Use the pythagorean theorem.
Can someone help me with math?I need it REALLY FAST PLS HURRY
Answer:
Yes, I can help what do you need???
Step-by-step explanation:
I need help with this question
The length of the leg of the triangle (hypotenuse, opposite side, adjacent side) are 10, 17, and 5 respectively.
How to round the number to nearest whole number?To round a number to the nearest whole number, you have to look at the first digit after the decimal point. If this digit is less than 5 (1, 2, 3, 4) we don't have to do anything, but if the digit is 5 or greater (5, 6, 7, 8, 9) we must round up.
To find the length of each leg we need to consider the angle BAC.
\(sin60 = \frac{opposite side}{hypotenuse} =\frac{BC}{10}\)
\(\frac{\sqrt{3} }{2} = \frac{BC}{10}\\ BC = \frac{\sqrt{3} }{2} * 10\\ BC = \sqrt{3} * 10\\ BC = 17.32 = 17\)
\(cos60 = \frac{adjacent side}{hypotenuse} \\\frac{1}{2} = \frac{AB}{10} \\AB = \frac{1}{2} *10\\AB = 5\)
Therefore the length of the leg of triangle are 17 and 5.
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-2 1/2 divided by 3 1/2 ?
Step-by-step explanation:
\( - 2 \times \frac{1}{2} \div 3 \times \frac{1}{2 } \\ - \frac{5}{2} \div \frac{7}{2} \\ - \frac{5}{2} \times \frac{2}{7} \\ = - \frac{5}{7} \)
What is Math 220 at UIUC?
Math 220 at UIUC is a calculus course offered at the University of Illinois at Urbana-Champaign.
It is designed to introduce students to the fundamental concepts of calculus, including limits, differentiation, and integration. The course also covers applications of these concepts to real-world problems, such as optimization and modeling.
Students are expected to have a strong foundation in algebra and trigonometry before taking Math 220. The course is typically taken by students in the College of Engineering and the College of Liberal Arts and Sciences.
The textbook for the course is the 8th edition of Calculus: Early Transcendentals by James Stewart. Additionally, Math 220 students must obtain access to the online homework system MyMathLabPlus and a copy of the textbook (hard copy or eBook).
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Determine the multiplicity of the roots of the
function k(x) = x(x + 2)3(x + 4)2(x − 5)4.
Answer:
1,3,2,4
Step-by-step explanation:
Cb ⊥ ac by the radius-tangent theorem, so ∠c is a right angle. δabc is a right triangle, so apply the pythagorean theorem. use the steps and solve for the radius. r2 82 = (r 5)2 r2 64 = r2 10r 25 r =
By the radius-tangent theorem, the radius is equal to 39/10 units.
What is Pythagorean theorem?In Euclidean geometry, Pythagorean's theorem is given by this mathematical expression:
a² + b² = c²
Where:
a, b, and c represents the side lengths of a right-angled triangle.
Since CB is tangent to OA at point C and line segment CB is perpendicular to line segment AC by the radius-tangent theorem, we would determine the radius by applying Pythagorean's theorem as follows;
r^2 + 8^2 = (r + 5)^2
r^2 + 64 = r^2 + 10r + 25
r^2 - r^2 = -10r + 64 - 25
10r = 39
r = 39/10 units.
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Help me with this please!!!!!!!!!!!
The term equivalent to \({3}^{\frac{1}{3}}\) is :
\( \sqrt[3]{3} \)Answer:
c no. 3√3
Step-by-step explanation:
ok*kkkk I will prefer it
Given m//n find the value of x and y (9x-1)° (y-20)° (5x-15)°
Looking at the given diagram,
angle 9x - 1 and angle y - 20 are linear pairs. they lie on a straight line. The sum of the angles on a straight line is 180 degrees. It means that
9x - 1 + y - 20 = 180
y = 180 + 1 + 20 - 9x
y = 201 - 9x equation 1
Also, angle 5x - 15 and angle y - 20 are vertically opposite angles. Vertically opposite angles are equal. It means that
5x - 15 = y - 20 equation 2
Substituting equation 1 into equation 2, it becomes
5x - 15 = 201 - 9x - 20
Collecting like terms, it becomes
5x + 9x = 201 - 20 + 15
14x = 196
x = 196/14
x = 14
y = 201 - 9x = 201 - 9 * 14
y = 201 - 126
y = 75+
In Pythagorean theorem
Is the right triangle a right triangle 10cm , 8cm , 6cm
Answer:
It is not a right triangle
Step-by-step explanation:
a^2+b^2=c^2
10^2+8^2=6^2
100+64=36
For a right triangle a^2+b^2=c^2, so this triangle isn't a right triangle because a^2 and b^2 are larger.
19. Macy bought new tires for her car. She chose tires that cost $73 each. However, the tire store was offering a Buy 3Get 1 Free Sale. After this special sale, she had to pay % sales tax . What was , Macy's final cost for all 4 tires?
Answer:
$219 without tax
Step-by-step explanation:
im not sure how to calculate tax
hope this helps :)
can someone please help me solve these math problems they are about triangle proofs
Answer:
Besides the givens:
12.
AC = EC, BC = DC; Definition of Midpoint
<ACB = <ECD; Vertical Angles Theorem
Triangle ABC = Triangle EDC; SAS Congruence Postulate
13.
AD = CD; Definition of Median
BD = BD; Reflexive Property
Triangle ABD = Triangle CBD; SSS Postulate
Step-by-step explanation:
None necessary.