Answer:
see explanation
Step-by-step explanation:
The n th term of an AP is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
(1)
Given a₁ = 5 and a₄ = [tex]\frac{9}{2}[/tex] , then
5 + 3d = [tex]\frac{9}{2}[/tex] ( subtract 5 from both sides )
3d = - [tex]\frac{1}{2}[/tex] ( divide both sides by 3 )
d = - [tex]\frac{1}{6}[/tex]
add - [tex]\frac{1}{6}[/tex] to each term
5, [tex]\frac{29}{6}[/tex], [tex]\frac{14}{3}[/tex], [tex]\frac{9}{2}[/tex]
(2)
Given a₁ = - 4 and a₆ = 6, then
- 4 + 5d = 6 ( add 4 to both sides )
5d = 10 ( divide both sides by 5 )
d = 2
Add 2 to each term
- 4, -2, 0, 2, 4, 6
(3)
Given a₂ = 38 and a₆ = - 22, then
a₁ + d = 38 → (1)
a₁ + 5d = - 22 → (2)
Subtract (1) from (2) term by term
4d = - 60 ( divide both sides by 4 )
d = - 15
Substitute d = - 15 into (1)
a₁ - 15 = 38 ( add 15 to both sides )
a₁ = 53
Thus
53, 38, 8, - 7, - 22
When you make an electronic payment from your checking account, the bank __________ identifies the bank where you have an account. A:Withdrawal number b:Deposit number c:Certified number d:Routing number
Answer:
d: Routing number
Step-by-step explanation:
To understand how to get d as your answer, when you go to any bank and insert your credit/debit card, it compares the routing number to the bank and sees if you have an account at the bank.
If the ratio of the surface areas of two similar geometrical solids is given by 121:36, what is the
ratio of their volumes?
Answer:
1331:216
Step-by-step explanation:
Given the ratio of the lengths of two similar solids as a:b
The ratio of the surface areas = [tex]a^2:b^2[/tex]
The ratio of the volume = [tex]a^3:b^3[/tex]
We are given that the ratio of the surface areas of two similar geometrical solids is given by 121:36
Therefore:
[tex]a^2:b^2=121:36\\\implies a^2:b^2=11^2:6^2\\\implies a:b=11:6[/tex]
Since the ratio of the lengths is 11:6
The ratio of their volumes = [tex]11^3:6^3[/tex]
=1331:216
The ratio of the volume of the two similar geometrical solids is 1331:126.
Complete the square
to find the vertex
of this parabola.
2
X -- 4 y-12 x+68=0
([?], [ ]
PLEASE HELP ASAP
Answer: 6,8
Step-by-step explanation:
Ms. Daffy tells you that the longest side of her right-triangular garden is 26m and one of the sides is 14m. A. She asks you to find the other side of the garden.
Answer:
22m
Step-by-step explanation:
The computation is shown below:
Since it is a right-triangular garden so we use the pythagoreus theorem
As we know that
The C^2 refers to the longest side of the right-triangular garden
So,
a^2 + b^2 = c^2
a^2 + 14^2 = 26^2
a^2 + 196 = 676
a^2 = 480
So a = 22m
Hence, the other side of the garden is 22m
Determine the intercepts of the line.
Answer:
Hi!
The x-axis is the line that goes horizontal (from left to right) and the y-axis is the line that goes vertical (up and down). Intercepts are points that meet or intersect the axis. The x-intercept is (-40,0). The y-intercept is (0,15).
Hope this helps!
xx gloriouspurpose xx
Find the m∠Z.
12degrees
15.5
4.4
47.7
Using Sine rule,
[tex] \frac{\sin 96 \degree}{48}=\frac{\sin Z}{10}\\
\implies \sin Z=\frac{5\sin (96\degree)}{24}\\
\implies Z \approx 12\degree[/tex]
What is the product of (x-5) and (x-4)? Use the model to find the result
Answer:
The product of the model is [tex]x^2-9x+25[/tex]Step-by-step explanation:
Given the expression (x-5) and (x-4)
The product of the two factors can be expressed as follows
[tex]= (x-5) (x-4)\\=x(x-4)-5(x-5)\\[/tex]
Opening brackets we have
[tex]=x^2-4x-5x+25[/tex]
Collecting like terms we have
[tex]=x^2-9x+25[/tex]
Question 1
Find the area:
110 cm
50 cm
140 cm
180 cm
A list of four length-measurements doesn't actually have an area.
On my screen, the list is about 2cm wide and 4cm tall, so its area would be about 8cm². But that's just on my laptop screen. It would be different on a phone screen.
x divided by 6 - 11 = -10
Answer:
x = 50
Step-by-step explanation:
[tex]\frac{x}{6-11} =-10\\\\\frac{x}{-5} =-10\\Cross-Multiply\\x = - 10\times -5\\x = 50[/tex]
HELP PLEASE I WILL GIVE 13 POINTS
Answer:
this difference indicates that the results are independent but not reliable.
to get t school each morning vanessa takes a horse 19.33 kilometers and a train 2.27 kilometers . in total the journey takes 26.48 minutes how many kilometers is vanessa,s journey in total?
Answer:
Step-by-step explanation:
19.33 + 2.27 + 26.48 = Total journey
19.33 + 2.27 + 26.48 = 48.08 km
Therefore, the total journey is 48.08 km
A line segment has endpoints at (8, 3) and (2,5). What would be the equation of this line's perpendicular bisector?
Answer:
y = −1/3x+17/3
Step-by-step explanation:
The line segment has slope -1/3. This means that any line perpendicular to it will have a slope of 3 (negative reciprocal)
Any line that bisects the line segment will pass through its midpoint. The midpoint is (5,4)
Midpoint formula: [tex]( \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} )[/tex]
So perpendicular bisector of this line is simply a line with slope −1/3 that passes through point (5, 4)
y - 4 = -1/3 (x-5)=
y = −1/3x+17/3
What is the 30th term of the linear sequence below? −4, −1, 2, 5, 8
Answer:
83
Step-by-step explanation:
The nth term is an=3n−7 .
30*3=90
90-7=83
so the 30th term would be 83
i need helppppppppppppp
Answer:
x=70
z=20
y=30
Step-by-step explanation:
first find x: the sum of straight angle is 180
x+110=180
x=180-110=70
now find z: the sum of the angles of triangle is 180:
x=70, right angle=90
z+70+90=180
find y:
y+110+40=180
y=180-150=30
z=180-160=20
Answer:
x=70 degrees, y= 30 degrees, z=20 degrees
Step-by-step explanation:
110+x=180 => straight angle def.
180-110+40=y => def. of angles in triangle
x( 70 degrees) +90+z=180, z= 20 => angles in triangle
Find the y-intercept of the line on the graph
Answer: The Y intercept is 2
Step-by-step explanation: Your Y axis is where the line crosses the graph vertically, or going up and down. If you see, your line crosses vertically at 2. Your X intercept is -2.
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
A.
Step-by-step explanation:
The equation is ax^2 + bx + c = 0.
a = -1, and b = 1.
-1x^2 + 1x + c = 0
-x^2 + x + c = 0
Hope this helps!
PLEASE ANSWER THIS VERY FAST!! A gym membership costs $40 per month plus a one time sign up fee of $20. How many months would it take to spend $1000 for the gym membership? about 24 months or 2 years. about 12 months or 1 year. about 36 months or 3 years.
Answer:
About 24 months
Step-by-step explanation:
1000-20= 980
980/40= 24.5
Answer: about 24 months
Step-by-step explanation:
First subtract 20 from 1000 and then divide the awnser by 40
1000-20= 980
1000/ 40= 24.5
FUNCTIONS HELP ASAP!!!!!
Answer: A
Step-by-step explanation:
For Kendra to profit $45 after spending $80 she would have to make $125 off of her 100 donuts. Thus, each donut costs 1.25, thus the 1.25n of the equation. However, you must also take into account the 80 dollar fee she paid(Thus the - 80).
find the value of the equation which is in below :
[tex]1 \div 4 + \sqrt{3} [/tex]
plz give the answer with step by step explanation
Answer:
[tex]5\sqrt{3}[/tex]
Step-by-step explanation:
[tex]1/4+\sqrt{3} \\1/4+\sqrt{3} (Criss cross)\\1+4\sqrt{3} \\5\sqrt{3}[/tex]
Hope I am correct
Which of the following is the graph of y = StartRoot negative x minus 3 EndRoot?
Answer:
Use a graphing calc and plug in the equation.
Step-by-step explanation:
Answer:
It's C on EDGE
Step-by-step explanation:
in a town, 11 000 people out of the total population of 50 000 are aged under 18. What percentage of the population is aged under 18 ?
Answer:
22%
Step-by-step explanation:
1- 11000/50000 = 0.22
2- 0.22 x 100 = 22%
.. ..
According to the Rational Root Theorem, which is not a possible solution of the
equation 2x4 - 5x3 + 10x2 - 9 = 0 ?
Answer:
5/2
Step-by-step explanation:
Possible rational roots are ...
±(divisor of 9)/(divisor of 2)
So, the possibilities are ...
±1/2, ±1, ±3/2, ±3, ±9/2, ±9
The one on your list that is not among these is 5/2.
5/2 is not a possible rational root.
the qestion is the picture
Answer:
B.
Step-by-step explanation:
choice A. is Equivalent
choice C. is Equivalent also
choice D. should be Equivalent also i believe...
choice B is NOT Equivalent
so your answer to this question should be choice B.
good luck!
Help, please!! What is the mR
Answer: I think it’s B (25)
Step-by-step explanation:
Answer:
Using the sine rule,
36/sin(50)=20/sin(R)
46.9=20/sin(R)
Sin(R)=46.9/20=0.43
R=Sin¯¹(0.43)=25.2°=25°
R=25°
The bearing of a staff room from the assembly ground is 195degrees, what is the bearing of the assembly ground from the staff room?
Answer:
15°
Step-by-step explanation:
the bearing of the assembly ground from the staffroom is
195-180=15°
EMERGENCY!!!
What is the area of this parallelogram?
Answer:
40
Step-by-step explanation:
A=Base✖️Height
A=Base(8)✖️Height(5)=40
A car rental charge is $100 plus $5.00 per mile traveled. Create an equation for the situation above.
Jenny starts running at a pace of 10 miles per hour. Her calf starts to hurt after 12 minutes, so she slows down to 6 miles per hour for the rest of her run. If the total distance she runs is 5 miles, how many minutes was the run, in total?
Answer:
42 minutes
Step-by-step explanation:
Here we want to calculate the number of minutes ran in total.
Kindly note that;
Time = distance/speed
Her starting speed is 10 miles/hour
but she ran for 12 minutes.
Kindly note that 12 minutes = 12/60 = 1/5 = 0.2 hour
So total distance in the first 12 minutes is speed * time = 10 * 0.2 = 2 miles
Now the rest of distance to run would be ;
5 -2 = 3 miles
She ran 3 miles at a speed of 6 miles per hour.
Time spent here is 3/6 = 0.5 hours which is same as 30 minutes
Total time spent = 30 + 12 = 42 minutes
A quadrilateral has its interior angles X, 47, 95, 82. Find
the value of x
Answer:
x = 136
Step-by-step explanation:
A quadrilateral always has angles that sum to 360. Thus, 47 + 95 + 82 + x = 360. Subtract 47, 95, and 82 from each side and get x = 136.
Hope it helps <3
Please explain how you got the answer, too!
solve it thn re check it aks help from parents