What are the first three terms of the Arithmetic Sequence an = 11 – 3(n – 1)?
Answer:First three terms: 11,20,29 .
Step-by-step explanation:
Write a systems of equations. tn=a+(n−1)d. sn=n2 (2a+(n−1)d). So,. 110=11+(n−1)d 726=n2(22+(n−1)d).
I hope this is right
Jackson bought a new computer for $800. He put $135 down and got a student discount of $55 his mom gave him half of the balance for his birthday. How much does Jackson still owe for the computer?
Answer:
Learn vocabulary, terms, and more with flashcards, games, and other study tools. ... The Fee that a driver pays to have automobile insurance is called a ... She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. ... The Jackson's sublet their summer cottage during the winter and spring months.
Step-by-step explanation:
4b
6c for b = (-3) and c = 5
Answer:
Today: Friday, 06 November 2020
Hour: 10.15 WIB (Indonesia)
_______________________________
so,
6c = 6 × 5 = 30
4b = 4 × (-3) = -12
Example:
4b - 6c
= 4(-3) - 6(5)
= -12 - 30
= - 42
4b + 6c
= 4(-3) + 6(5)
= -12 + 30
= 18
−9.76d − (−12.81d) = 8.54
Answer:
d = 2.8
Step-by-step explanation:
−9.76d − (−12.81d) = 8.54
~Simplify
−9.76d + 12.81d = 8.54
~Combine like terms
3.05d = 8.54
~Divide 3.05 to both sides
d = 2.8
Best of Luck!
PLEASEEEE HELPPP ME this is due today!!!
what's the exact length of the segment
Answer:
√13
Step-by-step explanation:
length √(2^2+3^2)=√13.
A right triangle has leg lengths of 3.4 cm and 6.7 cm. Which answer below shows the length of the triangle’s hypotenuse rounded to the nearest tenth? A. 8.5 cm B. 7.5 cm C. 5.5 cm D. none of the above
Answer:
The answer is B
Step-by-step explanation:
This graph shows the rate of a scuba diver’s ascent to the surface. What does the y-intercept of the graph represent?
Answer: The scuba diver was 35 meters below the surface of the water at the start of the ascent.
Step-by-step explanation:
Help i give Brainest A metro car in New Orleans travels 4 miles in 3 minutes. If the relationship between distance, in miles, and time, in minutes, of the metro car is proportional which equation represents the relationship between distance, d, and time, t? i
Help me answer the question please
Answer:
A
Step-by-step explanation:
4x - 2 and 3x + 6 are alternate angles and congruent, thus
4x - 2 = 3x + 6 ( subtract 3x from both sides )
x - 2 = 6 ( add 2 to both sides )
x = 8
Find the equation of the line shown.
Answer:
4y + x = 8
Step-by-step explanation:
firstly, we choose any 2 points on the line
point 1 = (0,2)
point 2 = (4,1)
x1 = 0, x2 = 4
y1 = 2, y2 = 1
from,
[tex] \dfrac{y2 - y1}{x2 - x1} = \dfrac{y- y1}{x- x1} [/tex]
[tex] \dfrac{1 - 2}{4 - 0} = \dfrac{y- 2}{x- 0} [/tex]
[tex] \dfrac{ - 1}{4} = \dfrac{y- 2}{x- 0} [/tex]
Cross multiplying,
-1(x) = 4(y - 2)
-x = 4y - 8
4y + x = 8
What is 78/100 in standard form
Answer:
0.78 x 10^ 0
Step-by-step explanation:
2j^3-8j^2 please help
Answer:
Your answer is: [tex]2j^{2}(j-4)[/tex]
Factor [tex]2j^{2}[/tex]out of [tex]2j^{3} -8j^{2}[/tex]
Step-by-step explanation:
Hope this helped : )
Which situation represents an example of a non-proportional relationship?
A. A restaurant charges $1.75 for each soft drink.
B. A cell phone company charges customers 10 cents per text sent or received.
C. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
D. A dog walker charges $10 to walk one dog for 30 minutes.
Option c is the correct answer. A gym charges a membership fee of $50, plus a monthly charge of $20 per month.
What is a proportional relationship?Relationships between two variables that are proportional occur when their ratios are equal. Another way to consider them is that in a proportionate relationship, one variable is consistently equal to the other's constant value. That constant is known as the "constant of proportionality".
So a non-proportional relationship is basically a line that does not cross the origin of a graph. So using the linear exhaustion of a line, y=mx+b, a proportional relationship would be something along the lines of y=mx+0 because b, which is the w intercept is 0. I
Having said that, here is the equation for a line:
a) would be y=1.75x (because it is only charging per drink, and nothing else, there is no b value or y-intercept). This means this is a
b) would be y=0.10x (because it is only charging per amount of texts, and nothing else, there is again no b value, so the y-intercept is 0, crossing the origin). (THIS IS ALSO NOT THE ANSWER)
c) y=20x+50 (x is the number of months, which then determine the amount of money you spend at the gym based on how many months you go there. Plus, you have to add in the cost of the gym membership as well, being 50$. So, in this case, because 50 is being added to the 20x, the b value or y-intercept would be 50.
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4b + 3 = 2b + 13 Can someone please help me with this problem
Answer:
b = 5
Step-by-step explanation:
[tex]4b - 2b = 13 - 3 \\ 2b = 10 \\ b = 5[/tex]
In order to find a constant rate of change, the function must be linear.
True or False?
At a farmer’s market, two vendors sell fresh milk. One vendor sells 2 liters for $3.80, and another vendor sells 1.5 liters for $2.70. Which is the better deal? Explain your reasoning.
Answer:
The second vendor because when you purchase 6 liters, it costs less to get it from the second vednor.
Step-by-step explanation:
Compare the price at 6 liters.
3.80(3)= $11.40
$2.70(4)= $10.80
Help pls it would be much appreciated need it asap
Answer:
( 6, -3 )
Step-by-step explanation:
Midpoint (24,-20), endpoint (16,-17)
Answer:
Endpoint = (32,-23)
Step-by-step explanation:
end point = (16,-17)
midpoint = 24,-20)
other point = (x,y)
(x + 16)/2 = 24
x + 16 = 24 * 2
x + 16 = 48
x + 16-16 = 48-16
x = 32
======================
(y - 17/2 = - 20
y - 17 = - 20 * 2
y - 17 = - 40
y - 17+17 = - 40 + 17
y = - 23
What is mZCAD?
O 80°
O 20°
O 80°
O 100°
O 110°
Answer:
The angle of CAD is 100°.
Step-by-step explanation:
Given that total angles in a triangle is 180° so you will have to find the angle of CAB :
∠CAB + ∠ACB + ∠ABC = 180°
∠CAB + 80° + 20° = 180°
∠CAB + 100° = 180°
∠CAB = 180° - 100°
∠CAB = 80°
Next, you have to subtract it from 180° because straight line have a degree of 180°
∠CAD = 180° - 80°
∠CAD = 100°
30. The table below shows the average temperature of a lake in months since April in a certain year. Find
the equation for the curve of best fit using a quadratic model, then predict the average temperature of
the lake during December of the same year. Round all answers to the nearest hundredth.
Month
Temp (°F)
April
59
May
68
June
71
July
78
August
74
1
Answer:
The temperature, in December is 47 °F
Step-by-step explanation:
The given data for the temperature are;
Month [tex]{}[/tex] Temp (°F)
April [tex]{}[/tex] 59
May [tex]{}[/tex] 68
June [tex]{}[/tex] 71
July [tex]{}[/tex] 78
August [tex]{}[/tex] 74
Let x represent the month, and f(x) = y represent the temperature, we have;
y = a·x² + b·x + c
When x = 1, we have, f(1) = a·1² + b·1 + c = 59
f(1) = a + b + c = 59...(1)
When x = 2, we have, f(2) = a·2² + b·2 + c = 68
f(2) = 4·a + 2·b + c = 68...(2)
When x = 3, we have, f(3) = a·3² + b·3 + c = 71
f(3) = 9·a + 3·b + c = 71...(3)
When x = 4, we have, f(4) = a·4² + b·4 + c = 78
f(3) = 16·a + 4·b + c = 78...(4)
When x = 5, we have, f(5) = a·5² + b·5 + c = 74
f(3) = 25·a + 5·b + c = 74...(5)
Subtracting equation (3) from equation (5), we get;
25·a + 5·b + c - (9·a + 3·b + c) = 74 - 71
16·a + 2·b = 3...(6)
Subtracting equation (1) from equation (2), we get;
4·a + 2·b + c - (a + b + c) = 68 - 59
3·a + b = 9...(7)
Multiply equation (7) by 2 and substract from equation (6) gives;
16·a + 2·b - 2 × (3·a + b) = 3 - 2 × 9
16·a + 2·b - 6·a - 2·b = 3 - 2 × 9
16·a - 6·a + 2·b - 2·b = 3 - 2 × 9 = -15
10·a = -15
a = -15/10 = -1.5
a = -1.5
From, 3·a + b = 9, we have;
3 × (-1.5) + b = 9
b = 9 + 4.5 =13.5
b = 13.5
From, a + b + c = 59, we have;
-1.5 + 13.5 + c = 59
c = 59 - (-1.5 + 13.5) = 47
c = 47
The quadratic equation becomes, y = a·x² + b·x + c = -1.5·x² + 13.5·x + 47
f(x) = y = -1.5·x² + 13.5·x + 47
For December, we have, x = 9, and f(x) = -1.5×9² + 13.5×9 + 47 = 47
The temperature, in December = 47 °F
The printed price of a DVD player is $30. If the buyer pays a sales tax of 8%, find the price at which the
DVD player is sold?
Answer:
It was sold at $32.40.
Step-by-step explanation:
hope this helpss :))
Marcelle claims that both these functions have the same discriminant.
Do you agree with Marcelle?
If you do, what is the value
of the discriminant?
If you disagree, explain why?
Answer:
Yes because they both only have one zero so the discriminant for both is 0
Step-by-step explanation:
explanation above lol
The two functions have the same discriminant b² - 4a = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know, Discriminant in a quadratic equation ax² + bx + c is, b² - 4ac.
Now, From the graph the discriminant and properties here,
D = 0 as the vertex of the parabola intersect only at one point.
b² - 4ac = 0.
The blue graph intersects at (2, 0) and the red graph intersects at (- 2, 0).
So, they have the same discriminant.
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The original Ferris wheel, designed by George Ferris in 1892 for the World’s Columbian Exposition in Chicago, had a radius of 125 feet. What was the circumference of the original Ferris wheel?
Answer:
Step-by-step explanation:
The answer is 250 pi
Answer:
r
Step-by-step explanation:
The angle between a diagonal and the longer base of the isosceles trapezoid MNFD is 45°. NK is an altitude to the longer base. If MD = 9 and NF = 5, find:
- NK
- MK
- MF
- [tex]A_{AMNFD}[/tex]
Answer:
[tex]NK \approx 7.001[/tex], [tex]MK = 2[/tex], [tex]MF \approx 7.001[/tex], [tex]A_{AMNFD} = 49.007[/tex]
Step-by-step explanation:
According to the statement, we find the following inputs:
[tex]\angle MDK = \angle DMF = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]MD = 9[/tex]
[tex]NF = 5[/tex]
Given than longer base and shorter base are parallel to each other, we conclude that:
[tex]\angle KND = 180^{\circ} -\angle NKD - \angle KDN[/tex]
[tex]\angle KND = 180^{\circ}-90^{\circ}-45^{\circ}[/tex]
[tex]\angle KND = 45^{\circ}[/tex]
[tex]\angle FND = 90^{\circ}-\angle KND[/tex]
[tex]\angle FND = 45^{\circ}[/tex] (By definition of complementary angles)
[tex]\angle FND = \angle NFM = 45^{\circ}[/tex] (Due to the condition of isosceles trapezoid)
[tex]\angle MDK = \angle DMF = \angle FND = \angle NFM = 45^{\circ}[/tex]
[tex]\angle NOF = \angle MOD = \angle MOF = \angle FOD = 90^{\circ}[/tex] (By definitions of complementary and vertical angles and the theorem that states that sum of internal angles within a triangle equals 180º)
[tex]MO = DO = \frac{\sqrt{2}}{2}\cdot MD[/tex] (By theorem for 45-45-90 Right Triangle)
[tex]NO = OF = \frac{\sqrt{2}}{2}\cdot NF[/tex] (By theorem for 45-45-90 Right Triangle)
If we know that [tex]MD = 9[/tex] and [tex]NF = 5[/tex], then we find that:
[tex]DO = MO \approx 6.364[/tex]
[tex]NO = OF \approx 3.536[/tex]
The value of MK is obtained from the following relationship:
[tex]MK = \frac{MD-NF}{2}[/tex]
[tex]MK = \frac{9-5}{2}[/tex]
[tex]MK = 2[/tex]
And the value of KD is calculated from this expression:
[tex]KD = MD-MK[/tex]
[tex]KD = 9-2[/tex]
[tex]KD = 7[/tex]
Now by the Pythagorean Theorem we find that:
[tex]NK = \sqrt{(NO+DO)^{2}-KD^{2}}[/tex]
[tex]NK = \sqrt{9.9^{2}-7^{2}}[/tex]
[tex]NK \approx 7.001[/tex]
And considering the symmetry characteristics of an isosceles trapezoid, we determine MF:
[tex]MF = NO + DO \approx 7.001[/tex]
Lastly, the area of the isosceles trapezoid is determined by the following formula:
[tex]A_{AMNFD} = NF\cdot NK + MK\cdot NK[/tex]
[tex]A_{AMNFD} = NK\cdot (NF+MK)[/tex]
If we know that [tex]NK \approx 7.001[/tex], [tex]NF = 5[/tex] and [tex]MK = 2[/tex], then the area of the figure is:
[tex]A_{AMNFD} = (7.001)\cdot (5+2)[/tex]
[tex]A_{AMNFD} = 49.007[/tex]
whats the slope to this
Answer:
-14/15
Step-by-step explanation:
I NEED HELP WITH THIS PLZ HELP ME WITH MATH! I"M GIVING 20 points for someone who answers it. PLZ HELP ME WITH MATH!
Answer: [tex]\frac{x^8}{256y^{20}}[/tex]
If the font is too small, it says x^8 all over top 256y^20 as one big fraction.
========================================================
Work Shown:
[tex]\left(\frac{5x^3}{20xy^5}\right)^4\\\\\\\left(\frac{x^2}{4y^5}\right)^4\\\\\\\frac{\left(x^2\right)^4}{(4^1)^4\left(y^5\right)^4}\\\\\\\frac{x^{2*4}}{4^{1*4}y^{5*4}}\\\\\\\frac{x^{8}}{4^{4}y^{20}}\\\\\\\frac{x^{8}}{256y^{20}}\\\\\\[/tex]
find the value of x pls help
Answer: 90 degrees
Step-by-step explanation:
It is a right angle which means it is 90 degrees. Plz mark me brainliest
can someone graph y=x+4 i hate khan academy
Answer:
I hope this is good enough:
Step-by-step explanation:
I dis graph it just use demo's graphing system.
ratios that are equivalent to 40:28
Answer:
10:7
Step-by-step explanation:
