Answer:
x = 12
(2x + 1)° = 25°
(5x + 5)° = 65°
Step-by-step explanation:
By the property of a triangle,
Sum of all angles of a triangle is 180°
In the given right triangle,
(2x + 1)° + 90° + (5x + 5)°= 180°
7x + 96 = 180
7x = 180 - 96
x = \(\frac{84}{7}\)
x = 12
Angle (2x + 1)° = 2(12) + 1 = 25°
Angle (5x + 5)° = 5(12) + 5 = 65°
Therefore, all three angles of the right triangle are 25°, 90° and 65°.
Help, I need to answer this question
Answer:
Step-by-step explanation:
factors of 8
Answer:
F- of a 8* i think
Step-by-step explanation:
What is the sum of polynomials 7x 3 4x 2 )+( 2x 3 4x 2?
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
Explain the equation.A mathematical equation is a formula that uses the equal sign (=) to connect two statements and express equality. A mathematical statement that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the components 3x + 5 and 14 in the equation 3x + 5 = 14 are separated by an equal sign. The equal sign is a crucial part of mathematical formulas, especially equations. Algebra is frequently utilized in equations. Algebra is used in mathematics when it is difficult to determine a precise quantity.
Here,
Polynomial function total
Polynomial functions are those that have a leading degree of three or higher. given the total;
(7x^3-4x^2)+(2x^3-4x^2)
Expand => (7x 3-4 times) + (2x 3-4 times)
= > 7x^3-4x^2 + 2x^3-4x^2
assemble similar terms
=> 7x^3 + 2x^3 - 4x^2 -4x^2
=> 9x^3 - 8x^2
Therefore , the solution of the given problem of equation comes out to be 9x^3 - 8x^2.
To know more about equation visit:
https://brainly.com/question/649785
#SPJ1
Ahab pays 1.15 x 10^3 dollars for one year's tuition ay naylor's university his sister attends north central university and pays 2.8 x 10^3 dollars in tuition for her first year what is the difference in tuition paid by ahab and his sister? answer in scientific notation without units the coefficient may be exact or rounded to 2 decimal places
Difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Review the following subtraction rules and properties:
The subtraction identity property (also known as the zero subtraction rule): Any number minus zero is equal to itself. \((2-0=2)\)The rule of subtraction by one: any number minus one will decrease that number by one. \((5- 1 = 4)\)Rule of subtraction number minus itself: any number minus itself is equal to zero. \((2 - 2 = 0)\)Number minus the number immediately before the Subtraction rule: any number minus the number immediately before it is equal to one. \((3 -2 = 1)\)Inverse operation: reverses the effect of another operation. Subtraction reverses addition. (Because \(3 + 2 = 5\), then \(5 - 2 = 3\) and \(5 - 3 = 2\))Given: Ahab pays dollars for one year's tuition fees and his sister pays dollars fees in tuition for the first year
To find: Difference in tuition fees paid by Ahab and his sister?
Solution:
To find the difference in their fees we have to perform simply normal subtraction
Subtract the fees of his sister from Ahab's fees which is as follows:
\(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Hence the difference between the fees of Ahab and his sister is \(2.8*10^{3} -1.15*10^{3}=1.65*10^{3}\)
Learn more about Subtraction here:
https://brainly.com/question/1927340
#SPJ4
PLEASE HELP | WILL GIVE BRAINLY IF RIGHT | LOOK AT IMAGE
Answer:
Town C
Step-by-step explanation:
Does anyone keep getting these answers with links???
Answer:
yes they are viruses i think never go to the website
Step-by-step explanation:
Ellie is 5 times as old as her sister Emma. In 2 years Ellie will be 3 times as Emma. How old is Emma now?
Answer:
8 years old maybe.
I need help ASAP!! PLEASE EXPLAIN YOUR ANSWER
Answer:
Step-by-step explanation:
PLZ HELP I DONT HAVE MUCH TIME
Rule:y=x-4
X. Y
__. 6
__. 0
__. 4
_____
Answer:
6
Step-by-step explanation:
hajzjsbz sjsksjzjsjsss shasnzshbssv aissjs
Lyla is planning on riding his bike no more than 65 miles during the week. She has already ridden 17 miles. Write and solve an inequality to find how many more miles she can ride. Then interpret the solution.
Answer:
17 + m ≤ 65
Step-by-step explanation:
Maximum distance = 65 miles
Number of miles already ridden = 17
Expression to represent how many more miles, 'm' she can ride ;
Number of miles already ridden + m ≤ maximum distance
17 + m ≤ 65
m ≤ 65 - 17
m ≤ 48
The amount of additional miles Lyla can ride is at most 48 miles
Which transformation represents the dilation? How can you tell?
Answer:
A dilation is a type of transformation that enlarges or reduces a figure to create a new figure, If the scale factor is between 0 and 1 the image is a reduction. If the scale factor is greater than 1, the image is an enlargement
Find the missing side. Round to the nearest tenth, if necessary. *
3. A
60
48
с
a
B
72,12,2 simplest form
Answer:
456748
Step-by-step explanation:
you 463uy2iuswhk then 13456
Which section of the function is constant? (4 points)
A
B
C
D
plz help meeeeeeeeeeeeeeeeeeee!!
Answer:
C
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
i got it right on the quiz lol
Which of the following points would be on the graph of the equation y=-3x + 1?
A. (-4, -10)
B.(-4, 22)
C. (1, -10)
D. (1, - 2)
Answer:
D.(1,-2)
Step-by-step explanation:
y= -3x+1
when x=1
y= -3*1 +1
y=-3+1
so
y=-2
How to Calculate the Moment of Inertia for a Cylinder?
The moment of inertia (I) is a measure of an object's resistance to rotational motion around an axis. The moment of inertia of a cylinder can be calculated using the following formula:
I = (1/2) × m × r²
where:
I is the moment of inertia of the cylinder
m is the mass of the cylinder
r is the radius of the cylinder.
Here are the steps to calculate the moment of inertia for a cylinder:
Determine the mass of the cylinder. This can be done by weighing the cylinder on a scale or by using its density and volume. The formula for the mass of a cylinder is:
m = density × volume
Measure the radius of the cylinder. This is the distance from the center of the cylinder to its outer edge.
Substitute the values of m and r into the moment of inertia formula:
I = (1/2) × m × r²
Calculate the moment of inertia using a calculator.
Note that the moment of inertia of a hollow cylinder is different from that of a solid cylinder. To calculate the moment of inertia of a hollow cylinder, you need to subtract the moment of inertia of the hollow space from the moment of inertia of the solid cylinder using the parallel axis theorem.
Learn more about inertia here: brainly.com/question/30459596
#SPJ4
Special right triangles
what should we do??? the question isn't there!
Find the sum of the interior angles for a hexagon. 540° 720° 900° 1,080°
The sum of interior Angles of Hexagon is always 720°
Any hexagon's internal angles add up to 720° in all cases. By dividing 720° by 6, we may get the size of each interior angle of a regular hexagon. As a result, we have:
720°÷6 = 120°
In a regular hexagon, each inside angle is 120°.
An example of a regular hexagon with equal-length sides and angles is shown in the diagram below. By multiplying the six 120° angles together, we can demonstrate that the result is 720°.
Therefore, the interior angles of a hexagon are always added up to 720°.
Learn more about hexagon :
brainly.com/question/3295271
#SPJ4
each year, nordstrom sets up a gift-wrapping station to assist its customers with holiday shopping. preliminary observations of one worker at the station produced the following sample time (in minutes per package): 3.5, 3.2, 4.1, 3.6, 3.9. based on this small sample, what number of observations would be necessary to determine the true cycle time with a 95% confidence level and an accuracy of ? [px]
Number of observations would be necessary to determine the true cycle time with a 95% confidence level and an accuracy are 16.
Sample timings as observed are 3.5, 3.1, 4.0, 3.5, and 3.9.
Sample-time average (X) = (3.5+3.1+4+3.5+3.9)/5
The average sample time (X) is 3.6.
Observed time (T) Mean (X) (X - T) (X - T)^2
3.5 3.6 0.1 0.01
3.1 3.6 0.5 0.25
4.0 3.6 -0.4 0.16
3.5 3.6 0.1 0.01
3.9 3.6 -0.3 0.09
Allow Standard deviation to be S.
2 in (X-T) - 1 n
\(S=\sqrt{\frac{0.52}{4}}\)
S = 0.3605
Considering that (h) = 0.05,
Given that 95% of the time,
Z value at 95% confidence interval = 1.96
Let N be the number of observations.
2 N= Z.S hX
\(N=(\frac{1.96X0.3605}{0.05X3.6})\)
N = 15.4
N = 16 (rounded off to next whole number) (rounded off to next whole number)
Consequently, 16 observations are required.
To learn more about Standard deviation click here:
brainly.com/question/14747159
#SPJ4
Answer:
Step-by-step explanation:
Number of observations would be necessary to determine the true cycle time with a 95% confidence level and an accuracy of 16.
Sample-time average (X) = (3.5+3.1+4+3.5+3.9)/5
The average sample time (X) is 3.6. Observed time (T) Mean (X) (XT) (X-T)^2
3.5 3.6 0.1 0.01
3.1 3.6 0.5 0.25
4.0 3.6 -0.4 0.16
3.5 3.6 0.1 0.01
3.9 3.6-0.3 0.09
Allow Standard deviation to be S.
2 in (X-T) - 1n
S=√0.52/4
S=0.3605
Considering that (h) = 0.05,
Given that 95% of the time,
Z value at 95% confidence interval = 1.96 Let N be the number of observations.
2 N=Z.S hx
N=(1.96X0.3605)÷(0.05×3.6)
N = 15.4
N = 16 (rounded off to next whole number) (rounded off to next whole number) Consequently, 16 observations are required.
To learn more about entity click here:
https://brainly.com/question/28944473
#SPJ4
kevin and sasha went to a concert the concert ended at 6:01 and lasted for 3 hours and 19 minutes what time was it when the concert ended
Answer: 6:01
If it ended at 6:01, then it ended at 6:01. If it started at 6:01, then it would've ended at 9:20
Step-by-step explanation:
Find the measure of angle 3.
Answer:
112 degrees
Step-by-step explanation:
In this case, the two angles are considered alternating exterior angles, which signifies that they are equal
EX24) 29 du Use the chain rule to find the indicated derivative. og, where du g(u, v) = f(x(u, v),y(u, v)), f(x,y) = 7x³y³.x(u, v) = ucosv, y(u, v) = usiny = 56u² cos v sin³ v
∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).
To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:
Given:
g(u, v) = f(x(u, v), y(u, v))
f(x, y) = 7x³y³
x(u, v) = ucos(v)
y(u, v) = usin(v)
To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:
∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)
To find ∂f/∂x, we differentiate f(x, y) with respect to x:
∂f/∂x = 21x²y³
To find ∂x/∂u, we differentiate x(u, v) with respect to u:
∂x/∂u = cos(v)
To find ∂f/∂y, we differentiate f(x, y) with respect to y:
∂f/∂y = 21x³y²
To find ∂y/∂u, we differentiate y(u, v) with respect to u:
∂y/∂u = sin(v)
Now, we can substitute these partial derivatives into the equation for ∂g/∂u:
∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))
To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:
x(u, v) = ucos(v) = u * cos(v)
y(u, v) = usin(v) = u * sin(v)
∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))
Simplifying further, we get:
∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))
Know more about derivative here:
https://brainly.com/question/25324584
#SPJ11
Short Explanation:Marcelino did not win the game 2 day ago. Marcelino did not win the game yeterday. Therefore, Marcelino will win the game today
This is a false conclusion. Just because Marcelino did not win the game 2 days ago or yesterday, it does not necessarily mean he will win the game today. There could be many other factors at play that determine the outcome of the game.
Marcelino Game Win False ConclusionThis statement is referring to a hypothetical game and the outcome of it, but the conclusion that Marcelino will win today is not logically deduced from the information given (that Marcelino did not win 2 days ago or yesterday). The outcome of a game can be influenced by many factors such as the skill level of the players, the strategies used, and luck. Simply not winning in the past does not guarantee a win in the future.
This statement is not related to mathematics. It is a logical conclusion based on the given information about a hypothetical game, but the conclusion does not follow logically from the information provided.
Learn more about False Conclusion here:
https://brainly.com/question/32148
#SPJ4
a city has 12575 residents a number president grown by 1.6% every year to the nearest whole resident what will the city population be in 2 years
Answer:
12977.4 or just 12977
Step-by-step explanation:
PLS HELP RLLY WUICKLY ILL GIEV BRAINLY
Solve and show your work for each question.
(a) What is 0.36 expressed as a fraction in simplest form?
(b) What is 0.36 expressed as a fraction in simplest form?
(c) What is 0.36 expressed as a fraction in simplest form?
a) 0.bar(36) expressed as a fraction in simplest form is 4/11. b) 0.3bar(6) expressed as a fraction in simplest form is 0.4. c) 0.36 expressed as a fraction in simplest form is 9/25.
Answer to tne aforementioned questions(a) To express 0.bar(36) as a fraction in simplest form, we can use the concept of repeating decimals. Let x = 0.bar(36). Multiplying x by 100 gives:
100x = 36.bar(36)
Subtracting the original equation from the multiplied equation eliminates the repeating part:
100x - x = 36.bar(36) - 0.bar(36)
99x = 36
x = 36/99
We can simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 9:
x = (36/9) / (99/9) = 4/11
Therefore, 0.bar(36) expressed as a fraction in simplest form is 4/11.
(b) o express 0.3bar(6) as a fraction in simplest form, let's call it x. Multiplying x by 10 gives:
10x = 3.6bar(6)
Subtracting the original equation from the multiplied equation eliminates the repeating part:
10x - x = 3.6bar(6) - 0.3bar(6)
9x = 3.6
x = 3.6/9
x = 0.4
Therefore, 0.3bar(6) expressed as a fraction in simplest form is 0.4.
(c) To express 0.36 as a fraction in simplest form, we can write it as 36/100 and simplify it. Both the numerator and denominator have a common factor of 4, so we can divide both by 4:
36/100 = 9/25
Therefore, 0.36 expressed as a fraction in simplest form is 9/25.
Learn more about fraction at https://brainly.com/question/78672
#SPJ1
A cube has a volume of 64. What is the length of one side of the cube?
Answer:
4
Step-by-step explanation:
The volume of a cube can be represented as s^3 = v, where s = side and v = volume. In this case, we're given the volume as 64, so s^3 = 64. To solve this problem, we first have to know what a cube root is.
What's a cube root?
The cube root of a number is the number you multiply by itself 3 times to get another number.One common cube is 27, and the cube root of it is 3 because 3 x 3 x 3 = 27.Given the information above, let's go in order with the list of cube roots to see which one has a cube of 64.
1: 1 x 1 x 1 = 1. 2: 2 x 2 x 2 = 8. 3: 3 x 3 x 3 = 27.4: 4 x 4 x 4 = 64. (This is the cube root!)We found the cube root of 64, or the side of the cube with a volume of 64. The side of the cube, therefore, is 4.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
Answers and Explain
The function g(x) is a piecewise function For x 4, 1 g(x) = |x + 1| and for
x 1, 3 g(x) = 2.
What are some rules for the transformation of functions?Suppose we have a function f(x).
f(x) ± d = Vertical upshift/downshift by d units (x, y ±d).
f(x ± c) = Horizontal left/right shift by c units (x - + c, y).
(a)f(x) = Vertical stretch for a > 0, vertical shrink a < 0. (x, ay).
f(bx) = Horizonatal compression b > 0, horizontal stretch for b < 0. (bx , y).
f(-x) = Reflection over the y-axis, (-x, y).
-f(x) = Reflection over x-axis, (x, -y).
From the graph, we can conclude that g(x) is a piecewise function.
When x is - 4, 1 g(x) = |x + 1|.
And when x is 1, 3 g(x) = 2, A constant function.
Now, g(-2) = | - 2 + 1| = 1.
g(1) = | 1 + 1| = 2.
g(4) = 2.
The value of x when g(x) = 3 is - 4.
The value of x when g(x) = 1 is (0, - 2) as both satisfy g(x).
learn more about functions here :
https://brainly.com/question/12561612
#SPJ1
The cost to rent a paddle boat at the country park is $8 per hour plus a non-refundable deposit of $10. The cost can be modeled by the function f(h) = 8h + 10, where h represents the number of hours the boat is rented. Describe the graph g(h) as it relates to f(h) if the non-refundable deposit increases to %15. PLEASEE HELPP!!
The relationship between the graph of f(h) and graph of g(h)
Both graphs have same slope of 8The y intercept of f(h) = 10The y intercept of g(h) = 11.5both graphs are straight line graph representing linear functions.What is a graph ?A graph is a pictorial representation of information
How to find the increment in the non refundable depositThe difference in the two graphs is the part of the non refundable deposit which will affect the intercept.
In f(h) = 8h + 10, the non refundable deposit 10 and the increment is 15%
The increment is solved below
solving the percentage increased
15% of $10 = 0.15 * 10 = $1.5
adding to the initial deposit
10 + 1.5 = 11.5
g(h) = 8h + 11.5
The graph of g(h) will have same slope as graph of f(h) which is 8
The y intercept of the graph if g(h) will be 11.5 while that of the graph of f(h) is 10
both graphs will form parallel lines
Learn more on graph of linear functions at: https://brainly.com/question/4025726
#SPJ1
A
65%
B
Reflex Angle B =
degrees.
The measure of angle B is given as follows:
<B = 295º.
How to obtain the measure of angle B?Angles A and B in the context of this problem are reflex angles, meaning that the sum of their measures is of 360º.
The measures are given as follows:
<A = 65º.<B is unknown.Hence the measure of angle B is obtained as follows:
65 + <B = 360
<B = 360 - 65
<B = 295º.
Missing InformationThe diagram modeling the situation is given by the image presented at the end of the answer.
More can be learned about angle measures at brainly.com/question/30598024
#SPJ1
5. Compute the first derivative of the function f(x)=x 3
−3x+1 at the point x 0
=2 using 5 point formula with h=5. (3 grading points). What is the differentiation error? (1 grading point). Solution of all problems MUST contain general formula and all intermediate results. Perform numerical computations using 4 digits after decimal point.
The first derivative of the function f(x) = x³ - 3x + 1 at the point x0 = 2 using a five-point formula with h = 5 is -31.17 (approx) and the differentiation error is 0.
Given function is f(x) = x³ - 3x + 1. We have to compute the first derivative of the function at the point x0 = 2 using a five-point formula with h = 5.
Here, we use the five-point formula for differentiation. The five-point formula is given by
\(f′(x) = (-f(x+2h) + 8f(x+h) − 8f(x−h) + f(x−2h))/(12h)\)
Using h = 5 and x0 = 2, we have, h = 5, x = 2
Therefore, x−2h = −8, x−h = −3, x+h = 7, x+2h = 12
Now substitute these values in the above formula:
\(f′(2) = (-f(12) + 8f(7) − 8f(−3) + f(−8))/(12×5)f′(2) = [-1993 - 8(359) + 8(13) + 1349]/60f′(2) = −31.17\) (approx)
Now, we need to find the differentiation error. To find differentiation errors, we use the error formula
|E| = K * h⁴,
where K is a constant, h is the step size and |E| is the maximum error|E| = K * h⁴. Since h = 5, we get|E| = K * 5⁴. To find K, we need to find the maximum value of
\(|f⁽⁵⁾(x)|.f(x) = x³ - 3x + 1\)
∴ \(f′(x) = 3x² - 3\)
∴ \(f′′(x) = 6x\)
∴ \(f′′′(x) = 6\)
∴ \(f⁽⁴⁾(x) = 0\)
∴ \(f⁽⁵⁾(x) = 0\)
So, the maximum value of \(|f⁽⁵⁾(x)| = 0\).
∴ K = 0|E| = K * h⁴ = 0.
f′(2) = -31.17 (approx). The differentiation error is 0.
We are given a function f(x) = x³ - 3x + 1 and we have to find the first derivative of the function at the point x0 = 2 using the five-point formula with h = 5.
The five-point formula is
\(f′(x) = (-f(x+2h) + 8f(x+h) − 8f(x−h) + f(x−2h))/(12h)\)
Using h = 5 and x0 = 2, we have h = 5 and x = 2.
Substituting these values in the formula for the five-point formula for differentiation, we get
\(f′(2) = (-f(12) + 8f(7) − 8f(−3) + f(−8))/(12×5)\)
Substituting the values of f(12), f(7), f(-3) and f(-8) from the given function, we get
\(f′(2) = [-1993 - 8(359) + 8(13) + 1349]/60= −31.17\)(approx)
Now, we need to find the differentiation error. To find the differentiation error, we use the error formula
|E| = K * h⁴,
where K is a constant, h is the step size and |E| is the maximum error.
|E| = K * h⁴
Since h = 5, we get|E| = K * 5⁴. To find K, we need to find the maximum value of |f⁽⁵⁾(x)|.
Differentiating f(x) five times, we get
\(f′(x) = 3x² - 3f′′(x) = 6xf′′′(x) = 6f⁽⁴⁾(x) = 0f⁽⁵⁾(x) = 0\)
The maximum value of |f⁽⁵⁾(x)| = 0. Therefore, K = 0|E| = K * h⁴ = 0. Therefore, the differentiation error is 0. Hence, the first derivative of the function f(x) = x³ - 3x + 1 at the point x0 = 2 using a five-point formula with h = 5 is -31.17 (approx) and the differentiation error is 0.
The first derivative of the function f(x) = x³ - 3x + 1 at the point x0 = 2 using a five-point formula with h = 5 is -31.17 (approx) and the differentiation error is 0.
To know more about differentiation visit
brainly.com/question/31539041
#SPJ11
Please the inverse of this function!!
Answer:
\(\frac{5x-3}{4}\)
Step-by-step explanation:
\(x=\frac{4y+3}{5} \\ 5x=4y+3\\ 5x-3=4y\\ \frac{5x-3}{4} =y\)