Answer:
n=2
Step-by-step explanation:
I am assuming that you want to solve this algebraic equation
4n+3 =11
Subtract 3 from both sides
4n+3-3=11-3
4n =8
Divide each side by 4
4n/4 = 8/4
n =2
what are the first 4 items of the arithmetic sequence in the graph
Answer:
i dont know
Step-by-step explanation:
How do you do long division on 0.54?
Answer:
you put your divisor and add Dividend and see what that adds up to and get your answer
Step-by-step explanation:
Answer:
You add more 0
Step-by-step explanation:
(WILL GIVE BRAINLIEST)Find the polynomial function with real coefficients that has zeros 1, 1 , 2+ i sqrt 3
Answer:
[tex]x^3-x^2(4+i\sqrt{3} )+x(5+i2\sqrt{3} )-(2+i\sqrt{3} )=0[/tex]
Step-by-step explanation:
We have given that this polynomial has the given zeroes of 1, 1, and [tex]2+i\sqrt{3}[/tex], we can express the polynomial in a factored form where each zero has the form x-a (where a is our zero):
polynomial= [tex](x-1) (x-1) (2+i\sqrt{3})[/tex]
=[tex](x^2+1-2x) (2+i\sqrt{3})[/tex]
=[tex]x^3-x^2(4+i\sqrt{3} )+x(5+i2\sqrt{3} )-(2+i\sqrt{3} )=0[/tex]
4x-y, when x=5 and y=6
Answer:14
Step-by-step explanation:
(4)(5)−6
=14
23 lb. 14 oz. − 8 lb. 1 oz.
P.S NO WORK NEEDED.
Answer:
15.8125 lb
Step-by-step explanation:
Answer:
15 lb. 13oz.
Step-by-step explanation:
no need
There are six houses on Philips Road that each use, on average, between 1.58 units and 1.71 units of electricity for 2 to 4 hours. John estimates the total usage for all six houses to be approximately 28 units. Is this a reasonable estimate?
Answer:no it is not reasonable
Step-by-step explanation: take the Max average number and multiply it by six, it only reaches 10.26
John's estimation of 28 units of electricity usage for the six houses on Philips Road is considered reasonable since it falls within the calculated possible range of 18.96 to 40.08 units.
Explanation:To verify John's estimate, we need to consider the maximum and minimum electricity usage for the houses based on their given range of usage and time. On the high end, each house could use 1.71 units for 4 hours, which gives a total of 6.84 units per house.
Therefore, the total usage for all six houses would be 40.08 units (6 x 6.84 = 40.08). On the low end, each house could use 1.58 units for 2 hours, amounting to 3.16 units per house. The total for all houses would then be 18.96 units (6 x 3.16 = 18.96). Given this, John's estimate of 28 units falls within this range and can be considered reasonable.
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[tex] \frac{2}{3} - \frac{4}{10} = [/tex]
what is the answer?
Answer:
8/30 (Simplified answer: 4/15)
Step-by-step explanation:
Find common denominators. Note the what you do to the denominator, you do to the numerator.
Multiply 10 to both the denominator & numerator of 2/3, and multiply 3 to both the denominator & numerator of 4/10
(10/10)(2/3) - (3/3)(4/10)
Simplify.
(20/30) - (12/30)
Simplify. Combine the terms
(20/30) - (12/30) = (20 - 12)/30 = 8/30
Simplify the fraction
(8/30)/(2/2) = 4/15
~
Point C(3.6, -0.4) divides in the ratio 3 : 2. If the coordinates of A are (-6, 5), the coordinates of point B are .
A (5,-4)
B (5,-2)
C (10,-4)
D (10,-2)
If point D divides in the ratio 4 : 5, the coordinates of point D are .
A (62/9,-4)
B (58/9,-4)
C (62/9,-2)
D (58/9,-2)
QUESTION 1
The point C(3.6, -0.4) divides AB in the ratio 3 : 2.
The coordinates of A are (-6, 5).
Let the coordinates of B be [tex](x_2,y_2)[/tex]
We use the formula:
[tex]x=\frac{mx_2+nx_1}{m+n}[/tex] to determine the x-coordinate of B.
We substitute the known values to obtain:
[tex]3.6=\frac{3x_2+2(-6)}{3+2}[/tex]
[tex]3.6=\frac{3x_2-12)}{5}[/tex]
[tex]3.6\times 5=3x_2-12[/tex]
[tex]18=3x_2-12[/tex]
[tex]18+12=3x_2[/tex]
[tex]30=3x_2[/tex]
This implies that:
[tex]x_2=10[/tex]
We also use the formula:
[tex]y=\frac{my_2+ny_1}{m+n}[/tex] to find the y-coordinate.
[tex]-0.4=\frac{3y_2+2(5)}{3+2}[/tex]
[tex]-0.4=\frac{3y_2+10}{5}[/tex]
[tex]-0.4\times 5=3y_2+10[/tex]
[tex]-2-10=3y_2[/tex]
[tex]-12=3y_2[/tex]
[tex]-4=y_2[/tex]
The coordinates of B are (10,-4)
QUESTION 2.
If point D divides CD in the ratio 4 : 5.
Then the coordinates of D are:
[tex](\frac{4(10)+5(3.6)}{4+5}, \frac{4(-4)+5(-0.4)}{4+5})[/tex]
[tex](\frac{58}{9}, \frac{-18}{9})[/tex]
The coordinates of D are [tex](\frac{58}{9}, -2)[/tex]
Identify the constant of proportionality in the equation. 3y = 15x
Answer:
5
Step-by-step explanation:
For direct variation y=kx, where k is the constant of proportionality
We need to get the equation in this form
3y = 15x
Divide each side by 3
3y/3 =15x/3
y = 5x
The constant is 5
Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza.
Answer:
60% of 30 is 18 and 40% of 30 is 12
18 x 12 = 216
12 x 10 = 120
216 + 120 = 336
Step-by-step explanation:
Answer: IN ORDER: 18,12,216,120,336
Step-by-step explanation: Got it right on TTM
I have no idea how to do this someone helped me with this and got the right answer which is 11/17 but I got a totally different answer!! Please help! Explain.
Answer:
Step-by-step explanation: The reason is is because when adding and subtracting integers, you flip the operation sign that will be used to solve the problem.So when you flip the sign of this equation, you subtract. So that's how your answer was 11/17. Also it is positive because the biggest number is positive so that is what the solution will be.
Please mark brainliest!!!!!!
Sienna published 2/3 of the poems she wrote in a book. Additionally, published 4 different poems in a newspaper. The total numbers of poems she published was 22. How many poems had sienna written?
Answer:
Subtract the 4 additional poems from what was published first:
22 - 4 = 18
Now 18 is 2/3 of what she wrote.
To find the total poems written divide 18 by 2/3:
18 / 2/3 = 27
Sh wrote 27 poems total.
please help me!!!!!! I cant do it
Average rate of change formula:
[tex]\dfrac{\Delta y}{\Delta x}[/tex]
[tex]\Delta y=6-1=5\\\\\Delta x=4.95-0.40=4.55[/tex]
[tex]\dfrac{\Delta y}{\Delta x}=\dfrac{5}{4.55}=\dfrac{500}{455}=\dfrac{100}{91}\approx1.1[/tex]
bring the fraction: 8/3xy^ 2 to a denominator of 15x^2y^2
If u do dis i really appreciate it!!!!!!!!! thx
Answer:
40x/(15x²y²)
Step-by-step explanation:
8/(3xy²) Multiply by 5/5
= 40/(15xy²) Multiply by x/x
= 40x/(15x²y²)
Please answer this question
Answer:
The average rate is 35 miles per hour
Step-by-step explanation:
To get from town A to town B takes 3 hours. The distance is 100 miles
To get from town B to town c takes 1 hours. The distance is 40 miles
To find the average rate , we need to find the total distance and divide by the total time
Total distance = 100 + 40 = 140 miles
Total time = 3 hrs + 1 hr = 4 hours
distance = rate * time
140 miles = rate * 4 hours
140/4 = rate
35 = rate
The average rate is 35 miles per hour
Solve for x.
Enter your answer in the box.
An equilateral triangle A B C. Side B C is the base. Sides A B, B C, and A C are equal. Sides A B, B C, and A C are labeled with single tick marks. Angle A is labeled as left parenthesis 2 y right parenthesis degrees, angle B is labeled left parenthesis 25 x minus 15 right parenthesis degrees.
Answer:
3
Step-by-step explanation:
What is the sign of − 4 a b −4ab when a > 0 a>0 and b < 0 b<0?
Answer:
The sign is positive.
Step-by-step explanation:
a > 0 and b < 0
So, a·b < 0
⇒ -4·a·b > 0
⇒ -4·a·b - 4·a·b > 0
Hence, the sign will be positive
Answer:
the answer is on top of me
Step-by-step explanation:
my mom is angry at me and im bored
The graph of g(x) is the graph of f(x)=|x| translated 3 units to the left. What is the equation of g(x)?
Answer:
g(x) = |x + 3|
Step-by-step explanation:
The x is replaced by x + 3
The equation of g(x) is | x + 3 | when g ( x ) is translated 3 units to the left
How does the transformation of a function happen?
The transformation of a function may involve any change.
Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs)
Horizontal shift (also called phase shift):
Left shift by c units: y = f( x + c ) (same output, but c units earlier) Right shift by c units: y = f ( x - c ) (same output, but c units late)Given data ,
The function f(x) = | x | , this function is needed to be translated 3 units to the right. Therefore, the new function can be written as ,
g ( x ) = f ( x + 3 )
= | x + 3 |
Hence, the equation of g(x) is | x + 3 |.
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You put 230 dollars in an account. The annual interest is 12% in 3 years. What is the principal you put into this account? PLEASE GIVE A FULL EXPLANATION!! I NEED HELPP
solve for x -3x+6=2x-24
-30
-6
6
30
-3x + 6 = 2x - 24.
Add 3x to both sides.
6 = 5x - 24.
Add 24 to both sides.
30 = 5x.
Divide it all by 5.
x = 6.
How do I solve this and please be helpful
Answer:
y < 1
Step-by-step explanation:
8y - 5 < 3
To solve this inequality, add 5 to both sides.
8y - 5+5< 3+5
8y < 8
Divide by 8 on both sides
8y/8 < 8/8
y <1
The measures of the angles of a hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9. What is the measure of the smallest angle in the hexagon?
Answer:
[tex]72^{\circ}[/tex] is the measure of the smallest angle in the hexagon.
Step-by-step explanation:
As, we know that the sum of all the angles is 720 degrees.
Given: The measures of the angles of the hexagon are in the extended ratio 4 : 5 : 5 : 8 : 9 : 9.
Let x be the number used to simplify the size of each angle.
Sum of all the measure angles is 720 degrees
⇒[tex]4x+5x+5x+8x+9x+9x = 720^{\circ}[/tex]
Combine like terms;
[tex]40x = 720^{\circ}[/tex]
Divide both sides by 40 we get;
[tex]x = \frac{720}{40} = 18[/tex]
The measure of angles are:
[tex]4x = 4 \times 18 = 72^{\circ}\\5x = 5 \times 18 = 90^{\circ}\\5x = 5 \times 18 = 90^{\circ}\\8x = 8 \times 18 = 144^{\circ}\\9x = 9 \times 18 = 162^{\circ}\\9x = 9 \times 18 = 162^{\circ}[/tex]
Therefore; the measure of the smallest angle in the hexagon is, [tex]72^{\circ}[/tex]
Find the range of f(x) =-x+4 for the domain {-3, -2, -1, 1}
Answer:
{3, 5, 6, 7 }
Step-by-step explanation:
to find the range of f(x) substitute the given values of x from the domain into f(x)
f(- 3) = - (- 3) + 4 = 3 + 4 = 7
f(- 2) = - (- 2) + 4 = 2 + 4 = 6
f(- 1) = - (- 1) + 4 = 1 + 4 = 5
f(1) = - 1 + 4 = 3
range y ∈ {3, 5, 6 , 7 }
[CALCULUS] [HELP PLEASE]
7. The edge of a cube was found to have a length of 50 cm with a possible error in measurement of 0.1 cm. Based on the measurement, you determine that the volume is 125,000 cm^3. Use tangent line approximation to estimate the percentage error in volume.
0.6%
0.9%
1.2%
1.5%
1.8%
A point on a damped spring has motion given by s(t)=2e^(-1.5t) s in(2(pi)t), where s is measured in centimeters and t is measured in seconds. Choose which of these is the graph for the velocity function for 0 < or equal to t < or equal to 4
Answer:
(7)
error percentage is 0.6%
(8)
Graph-C
Step-by-step explanation:
(7)
we are given cube
Let's assume edge of cube =x
so, volume of cube will be
[tex]V(x)=x^3[/tex]
we are given
V=125000
so, we can find 'x'
[tex]125000=x^3[/tex]
[tex]x=50[/tex]
So,
[tex]a=50[/tex]
now, we can use linear approximation formula
[tex]L(x)=V(a)+(x-a)V'(a)[/tex]
[tex]L(x)=V(a)+(\Delta x)V'(a)[/tex]
we have
[tex]\Delta x=0.1[/tex]
we can plug a=50
[tex]L(x)=V(50)+(0.1)V'(50)[/tex]
[tex]V(x)=x^3[/tex]
we can find derivative
[tex]V'(x)=3x^2[/tex]
now, we can plug x=50
[tex]V'(50)=3(50)^2[/tex]
[tex]V'(50)=7500[/tex]
now, we can plug these values
and we get
[tex]L(x)=V(50)+(0.1)\times 7500[/tex]
[tex]L(x)=V(50)+750[/tex]
[tex]L(x)-V(50)=750[/tex]
so, error is
[tex]error=750[/tex]
now, we can find percentage error
Percentage is
[tex]=\frac{750}{125000}\times 100[/tex]
=0.6%
so, error percentage is 0.6%
(8)
we are given
[tex]s(t)=2e^{-1.5t}sin(2\pi t)[/tex]
We will find derivative
To get velocity , we will find derivative
[tex]s'(t)=\frac{d}{dt}\left(2e^{-1.5t}\sin \left(2\pi t\right)\right)[/tex]
we can use product rule
and we get
[tex]s'(t)=-3e^{-1.5t}sin(2\pi t)+4\pi e^{-1.5t} sin(2\pi t)[/tex]
so, we get velocity equation as
[tex]v(t)=-3e^{-1.5t}sin(2\pi t)+4\pi e^{-1.5t} sin(2\pi t)[/tex]
now, we can draw graph
we can see that firstly , we get maxima and then minima
so, our graph would be
graph-C........Answer
Final answer:
To estimate the percentage error in volume, use the tangent line approximation and find the derivative of the volume function. Then divide the change in volume by the actual volume and multiply by 100%.
Explanation:
To estimate the percentage error in volume, we need to find the derivative of the volume function with respect to the length of one edge of the cube. The volume of a cube is given by V = a^3, where a is the length of one edge of the cube. So, the volume function is V = a^3.
Using the tangent line approximation, we can approximate the change in volume as the derivative of the volume function multiplied by the change in length of one edge of the cube. The derivative of the volume function is dV/da = 3a^2. The change in length of one edge is ±0.1 cm. So, the change in volume is approximately dV = (3a^2) * (±0.1 cm).
To find the percentage error in volume, we divide the change in volume by the actual volume and multiply by 100%. The actual volume is 125,000 cm^3. So, the percentage error in volume is approximately [(3a^2) * (±0.1 cm)] / (125,000 cm^3) * 100%.
what is the simplified form of 15x^5/20y^6*6y^4/5x^2
Answer:
The simplified form of the equation is 9x^3/10y^2 Good Luck!
Step-by-step explanation:
Answer:
if you go to a site called math papa it gives you the answer and how to do it
Step-by-step explanation:
I need the answer :(
Answer:
z = 62
y = 117
Step-by-step explanation:
Z
118 and z are supplementary.
z + 118 = 180 Supplementary angles add to 180. Subtract 118 from both sides.
z = 180 - 118 Do the subtraction
z = 62 Answer
Y
The interior angles of all quadrilaterals (convex) add up to 360 degrees.
y + z + 84 + 97 = 360 Given
62 + y + 84 + 97=360 Add
y + 243 = 360 Subtract 243 from both sides
y = 360 - 243 combine
y = 117 Answer
Is a triangle congruent
Answer: Yes
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The equal sides and angles may not be in the same position (if there is a turn or a flip), but they are there.
The salaries of the employees at four companies are summarized below. Answer the questions about them.
Answer:
Range = 24
Step-by-step explanation:
Record of percentage
59, 61, 83, 67, 81, 80, 81
We need to find the range
To find the range , we order the numbers from smallest to largest.
Then Subtract the smallest number from largest number.
When we arrange the numbers it becomes
59, 61, 67, 80, 81, 81, 83
Smallest number is 59 and largest number is 83
Range = 83 - 59 =24
Which transformation will carry pentagon EFGHI onto itself?
Answer:
D
Step-by-step explanation:
The pentagon has 5 interior angles that add up to 360. To find the angle of rotational symmetry, divide 360 by 5 (you get 72). So if you rotated the shape 72 degrees, it will map onto itself. 72 times 2 is 144, and that's rotating the shape 72 degrees twice, so it will stay the same.
A mathematical transformation that carries a pentagon onto itself is a rotation by 72 degrees or a multiple of 72 degrees, which are the internal angles of a regular pentagon.
Explanation:The question is referring to certain mathematical transformations that can be applied to shapes, specifically a pentagon. A transformation that will carry a shape onto itself, maintaining its form, is a symmetry operation. For a pentagon, one of these transformations could be a rotation. For example, if you rotate the pentagon 72 degrees or a multiple of 72 degrees (such as 144, 216, 288 degrees, etc.), it will land on itself because 72 degrees represents each internal angle of a regular pentagon.
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Equivalent expression for 3(4m - 2) -2 (m + 5)
Answer:
10m-16
Step-by-step explanation:
3(4m-2)-2(m+5)
Distribute 3 into the equation
12m-6 than do the same with -2
-2m-10
combine like terms
10m-16
simplify
Equivalent expressions are expressions that have equal values
The equivalent expression is [tex]10m - 16[/tex]
The expression is given as:
[tex]3(4m - 2) -2 (m + 5)[/tex]Open the brackets
[tex]3(4m - 2) -2 (m + 5) = 12m - 6 - 2m - 10[/tex]
Collect like terms
[tex]3(4m - 2) -2 (m + 5) = 12m- 2m - 6 - 10[/tex]
Evaluate the like terms
[tex]3(4m - 2) -2 (m + 5) = 10m - 16[/tex]
Hence, the equivalent expression is [tex]10m - 16[/tex]
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