Answer:
[tex]a_1=\frac{39}{8}; \ d=-\frac{1}{4}.[/tex]
Step-by-step explanation:
1) if the first term is 'a₁', the difference of the sequence is 'd', then it is possible to write two equations for the sum of the first 20 terms and the next 20 terms;
2) for the first 20 terms: (a₁+a₂₀)*20/2=50;⇔ (a₁+a₁+19d)*10=50; ⇔2a₁+19d=5;
for the next 20 terms: (a₂₁+a₄₀)*20/2= -50;⇔ (a₁+20d+a₁+39d)*10=-50;⇔ 2a₁+59d= -5.
3) if to solve the system of two equations, then:
[tex]\left \{ {{2a_1+19d=5} \atop {2a_1+59d=-5}} \right. \ => \ \left \{ {{a_1=\frac{39}{8} } \atop {d=-\frac{1}{4} }} \right.[/tex]
4) finally: the first term is '39/8', the difference is '-1/4'.
Define intersection of a line
Answer:
perpendicular lines
Step-by-step explanation:
Two lines intersect when they cross each other. ... The point where the lines intersect is called the point of intersection. If the angles produced are all right angles, the lines are called perpendicular lines. If two lines never intersect, they are called parallel lines.
Answer:
When two or more lines cross each other in a plane, they are called intersecting lines.
Step-by-step explanation:
If two dresses that are the same price cost $93.98 total, how much does one dress cost?
Answer:
$46.99
Step-by-step explanation:
Since both dresses that cost the same add up to a total price of $93.98, all you have to do is divide the total price by 2.
93.98/2=46.99
If AB = x +4, BC = 2x - 10, and AC = 2x + 1, then find the value for BC.
The inverse of the relation y = 9x – 4 can be obtained graphically by:
The inverse of the function y = 9x -4 is obtained by a reflection in the line at ( y = x ). Hence Option D is correct.
What is the reflection of a line?Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point but is on the other side of the line. This transformation is known as a reflection over the line.
The inverse relation for y= 9x -4 will be calculated by putting the value of x equal to y or replacing x by y and y by x in the equation.
Hence Option D is correct.
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Simplify the power of i.
i78
A -1
B -i
C 1
D i
[tex]\\ \rm\longmapsto i^{78}[/tex]
Divide 78 by 4[tex]\\ \rm\longmapsto \dfrac{78}{4}[/tex]
[tex]\\ \rm\longmapsto \dfrac{39}{2}[/tex]
[tex]\\ \rm\longmapsto 19\dfrac{1}{2}[/tex]
Now
remainder is 2
[tex]\\ \rm\longmapsto i^2[/tex]
[tex]\\ \rm\longmapsto (\sqrt{-1})^2[/tex]
[tex]\\ \rm\longmapsto -1[/tex]
Hence
[tex]\\ \rm\longmapsto i^{78}=-1[/tex]
what do you call polygons with all sides same
Polygons with all same sides is an equilateral.
Use the rational exponent property to write an equivalent expression for
Step-by-step explanation:
the nth root can be written as exponent of 1/n.
so, we have here
[tex] {( {n}^{4} + 3) }^{ \frac{1}{5} } - 12[/tex]
I would really appreciate if someone could help me with this and explain:)
Answer:
11
Step-by-step explanation:
The distance between -7 and 4 is 11. -6 stays the same. So we just either move up or down.
I give brainlist helPPPPPP
Answer:
Step-by-step explanation:
25.57, 123/5, 49/2, 241/10
You are a mechanic who is measuring the valve clearance on a motorcycle engine. The current clearance for one of the valves is 0.30 millimeter (mm). The clearance should be at least 0.18 mm and no more than 0.22 mm. The valve clearance is set by using a spacer that reduces the distance between the cam and the valve by the size of the spacer. Spacers are available in 0.04 mm increments, and the spacer currently in the motorcycle engine is 2.84 mm. Which of the following size spacers, in millimeters, should you use to achieve a correct valve clearance?
The 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.
What is the valve clearance of a motorcycle?On motorcycle and automobile engines, valve clearances essentially refer to the gap or distance between the top of the valve stem and the camshaft that controls it.
The exhaust valves in an automobile engine release the burned gases, while the intake valves permit air and fuel into the cylinder.
Given that:
The current clearance = 0.3 mmThe clearance range is between = 0.18 mm - 0.22 mmThe available spacer = 0.04 mm incrementsThe current spacer is = 2.84 mmThe difference in between the current and clearance range is:
0.3 mm - 0.18 mm = 0.12 mm0.3 mm - 0.22 mm =0.08 mmHowever, for clearance to be positioned within 0.18 mm - 0.22 mm. The required spacers to be used are 0.04 mm, and 0.08 mm in conjunction with:
Clearance 0.3 = 3.14Clearance 0.18 = 3.02Clearance 0.22 = 3.06The mean value = 3.04
Therefore, for us to approach and get to the value of 3.02, the required spacers to be that must be added are:
2.84+0.04 2.882.84+0.08 2.922.84+0.12 2.962.84+0.16 3.002.84+0.2 3.04Therefore, we can conclude that the 0.2 mm spacers will be utilized in order to achieve the correct valve clearance.
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John is building a rectangle pen for his sheep. The length of the pen is 5 more than 8 times the width of the pen
Answer:
if this is it the equation would be L = 8w + 5
What is the y-intercept
Answer:
y-intercept is (0, 9)
Step-by-step explanation:
At y-intercept, x is 0
[tex]y = 9[/tex]
Answer: (0, 9)
Concept:
The y-intercept of a function is the point at which the graph of the function crosses the y-axis.
In other words, the y-intercept is the point when the x value is 0.
Solve:
Find the point where the x value is 0
It is the fourth from the left, where the x value is 0.
The y value is 9.
Finalize the point
x value is 0
y value is 9
Point = [tex]\boxed{(0, 9)}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
solve for Y: Y=6b+12ab^2 a= 4, b=6
Answer:
1764
Step-by-step explanation:
Y=6b+12ab^2
Let a = 4
b = 6
Y = 6(6) +12 (4)(6)^2
= 36 + 12 (4) (36)
= 36+1728
=1764
Answer:
[tex]\huge\boxed{\sf Y = 1764}[/tex]
Step-by-step explanation:
[tex]Y = 6b+12ab^2\\\\Given \ that \ a = 4 , \ b = 6\\\\Putting \ values\ in \ given \ equation\\\\Y = 6(6) +12(4)(6)^2\\\\Y = 36 + 48(36)\\\\Y = 36 + 1728\\\\Y = 1764\\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!1/8+c=4/5 jus need to answer
∫[tex]\frac{x2}{9}[/tex]
9514 1404 393
Answer:
(x^3)/27
Step-by-step explanation:
The power rule applies.
∫(x^n) = (x^(n+1))/(n+1)
__
[tex]\displaystyle\int\dfrac{x^2}{9}\,dx=\dfrac{x^3}{3\cdot9}=\boxed{\dfrac{x^3}{27}}[/tex]
why is 8/4 a natural number but 7/4 is not ?
Step-by-step explanation:
if we divide 8/4 then it comes 2 which is natural number but when we divide 7/4 it comes 1.75 which comes in points
Answer:
8/4=2 7/4=1.75
Step-by-step explanation:
Natural numbers are whole numbers ex: 1,2,3,4,700 etc. However 1.75 is not a whole number which is why it is not a natural number
Is the image an example of a ray?
B
A
Yes: AB has an endpoint and continues in one direction forever,
Yes: AB is one-dimensional.
No: AB continues forever in both directions.
No: AB has two endpoints.
Answer:
yes abis in 1 or more endpoint
Step-by-step explanation:
Please help will give brainly
Answer:
rational number
Step-by-step explanation:
it is being expressed in form of p/q
I have to calculate the lengths of all the triangles sides using pythagoras theorem
Answer:
√62 = 8
y = 8
√225 = 15
z = 15
Pythagoras theorem
a^2 + b^2 = c^2
in this case...
y^2 + z^2 = x^2
8^2 + 15^2 = √289
8^2 + 15^2 = 17
x= 17
Find (fog)(x) when f(x)=2/x+3 and g(x)=1/2x
Any help is appreciated :)
Answer:
1st option
Step-by-step explanation:
To find (f ￮ g)(x) substitute g(x) into f(x) , that is
f([tex]\frac{1}{2x}[/tex] )
= [tex]\frac{2}{\frac{1}{2x}+3 }[/tex]
= [tex]\frac{2}{\frac{1+6x}{2x} }[/tex]
= [tex]\frac{4x}{1+6x}[/tex]
Keith earns $8.60 an hour and time-and-a-half for all hours over 40
hours. How much did he earn the week he worked 47.5 hours?
a. $344
b. $625.65
c. $109.65
d. $440.75
8.60 per hour x 40 hours = 344
Time and a half over 40 hours:
47.5-40 = 7.5 hours at time and a half:
7.5 x 8.60 x 1.5 = 96.75
Total pay : 344 + 96.75 = $440.75
Answer: d. $440.75
whats 40 euros to usd?
Answer:
47.06 United States Dollar
[tex]\huge{\textbf{\textsf{{\color{navy}{An}}{\purple{sw}}{\pink{er}} {\color{pink}{:}}}}}[/tex]
47.6 US DollarsHope it helpsThanks.Abigail stays after school for chess club practice. Everyone is in the mood for a snack, so they buy bags of pretzels from the vending machine for $0.95 each. If the club members buy 6 bags of pretzels, how much do they pay in all?
Answer:
5.70
Step-by-step explanation:
Take the price per bag and multiply by the number of bags
.95 * 6 =5.70
There are 1/3 pieces of pie left over on each
plate. How much pie is left over in total?
Answer:
3/3
Step-by-step explanation:
there are 3 plates and 1/3 on each plate is 3
1/3+1/3+1/3= 3/3
An entity can be divided in fractions or ratios. The total number of pie left over on N plates is [tex]\frac 13N[/tex]
Given that:
[tex]k = \frac13[/tex] --- the fraction left over
The total number of pie left over is
[tex]Total = \frac{1}{3} \times N[/tex]
Where N is the number of plates
So:
[tex]Total = \frac{1}{3} N[/tex]
For instance
If N is 6, the number of pie will be 2: i.e.
[tex]Total = \frac{1}{3} \times 6 = 2[/tex]
If N is 12, the number of pie will be 4: i.e.
[tex]Total = \frac{1}{3} \times 12 = 4[/tex]
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what is the arithmetic property of x+0*d=x
A rectangular swimming pool with dimensions 12 meters by 18 meters is surrounded by a pavement of uniform width x meters. Find the area of the pavement, A, as a function of x.
9514 1404 393
Answer:
A = 4x² +60x
Step-by-step explanation:
The area of walkway along each of the sides is the product of side length and walk width x. The total for the four sides is ...
12x + 18x + 12x + 18x = 2x(12 +18) = 60x
There is a square of walkway at each corner whose dimensions are x by x, so the corner area is ...
4·x²
Then the total walkway area is ...
A = 4x² +60x
a triangle has a vertices at R(1,1) S(-2,-4) and T(-3,-3). The triangle is transformed according to the rule
[tex]2^{4x + 14} = {64}^{x + 2} [/tex]
helpppppppppppppppp
[tex]\\ \rm\longmapsto 2^{4x+4}=64^{x+2}[/tex]
[tex]\\ \rm\longmapsto 2^{4x+4}=(2^6)^{x+2}[/tex]
[tex]\\ \rm\longmapsto 2^{4x+4}=2^{6(x+2)}[/tex]
[tex]\\ \rm\longmapsto 4x+4=6(x+2)[/tex]
[tex]\\ \rm\longmapsto 4x+4=6x+12[/tex]
[tex]\\ \rm\longmapsto 4-12=6x-4x[/tex]
[tex]\\ \rm\longmapsto -8=2x[/tex]
[tex]\\ \rm\longmapsto x=\dfrac{-8}{2}[/tex]
[tex]\\ \rm\longmapsto x=-4[/tex]
Answer:
x = 1
Step-by-step explanation:
[tex] {2}^{4x + 14} = {64}^{x + 2} [/tex]
➡️ [tex] {2}^{4x + 14} = ( {2}^{6} {)}^{x + 2} [/tex]
➡️ [tex] {2}^{4x + 14} = {2}^{6x + 12} [/tex]
➡️ [tex]4x + 14 = 6x + 12[/tex]
➡️ [tex]14 - 12 = 6x - 4x[/tex]
➡️ [tex]2x = 2[/tex]
➡️ [tex]x = 1[/tex]
Select the variable for the number of miles traveled last month. Conduct a hypothesis test to determine whether the mean miles traveled last month equals 10,000. Use the .01 significance level. Find the p-value and explain what it means.
look it up dum dum this app got me a f+ >:(
f=2 and s=8 then s divided by [2f]
Answer: 2
Step-by-step explanation:
f=2
s=8
[tex](8)\div(2(2))\\8\div4\\2[/tex]
Answer:
2
Step-by-step explanation:
s/ (2f)
Let s = 8
and f = 2
8 / ( 2*2)
8/4
2