Consider the following sequence: 87; 84; 81... Find an expression for term n of the sequence
Answer:
[tex]a_{n}[/tex] = 90 - 3n
Step-by-step explanation:
There is a common difference between consecutive terms, that is
84 - 87 = 81 - 84 = - 3
This indicates the sequence is arithmetic with nth term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 87 and d = - 3 , then
[tex]a_{n}[/tex] = 87 - 3(n - 1) = 87 - 3n + 3 = 90 - 3n
If g(x) = 4x2 - 16 were shifted 9 units to the right and 1 down, what would the new equation be? A. h(x) = 4(x + 9)2 – 17
B. h(x) = 4(x – 9)2 – 17
C. h(x) = 4(x = 17)2 - 9
D. h(x) = 4(x - 7)2 + 16
Answer:
Step-by-step explanation:
If you move down 1 unit, you simply subtract 9 units from the given equation.
g(x) = 4x^2 - 16 - 1
g(x) = 4x^2 - 17
Shifting right is a little bit tricky. To shift right, you have to do the opposite of what you would do on the number line. The x has to become x - 9 because the x value (you will learn later) is part of a distance and distances always subtract one from the other.
The wrong way to do it is in answer A.
B is the correct answer
h(x) = 4(x - 9)^2 - 17
Algorithm to accept the height of a building in metres and convert it into centimetres.Also draw the flowchart
Answer:
1200cm
Step-by-step explanation:
Given data
We know that 1meter is equivalent to 100cm
i,.e 1*100
so, if height is 1.2meters
Height in centimeters is 1.2*100
Hence height in centimeters is 1200cm
pls answer. im not smart
Step-by-step explanation:
A.
20-4-681041214-2B.
68-20-4212881412help please asap ASAP ASAP ASAP PLEADEEEEEEEEE
a ball is shot out of a homemade air cannon. It flies through the air such that its height, as a function of time, is given by: h= -16t^2 + 64t + 10. where h is the height of the ball in feet and t is the time since it was fired in seconds. Max estimates that it takes 4 seconds for the ball to hit the ground and Cole estimates it takes 5 second. Algebraically determine who is closer and support your answer.
Answer:
Max
Step-by-step explanation:
the function given that h = -16t³+64t+10
the general function Equation:
h = at²+bt+c
=> t at the highest point is defined by t = -b/2a
= -64/2(-16) = -64/-32 = 2 second
the total times that the ball hits the ground
= 2× 2 seconds = 4 seconds.
so, Max is right
Answer:
Solution given:
Let h=0=when the ball hit the ground,the height=0.
h= -16t^2 + 64t + 10.
0=16t²-64t-10
8t²-32t-5=0
∆=[tex] \frac{32±\sqrt{32²+4*5*8}}{2*8}=\frac{8±\sqrt{74}}{4}[/tex]
taking positive
t1=[tex] \frac{8+\sqrt{74}}{4}=4.15seconds[/tex]
t2=[tex] \frac{8-\sqrt{74}}{4}(t2<O)(neglected)[/tex]
So
t=4.15seconds closer to 4seconds.So
Max is closer.
"Darcie wants to crochet a minimum of 333 blankets to donate to a homeless shelter. Darcie crochets at a rate of 1/15 of a blanket per day. She has 60 days until when she wants to donate the blankets, but she also wants to skip crocheting some days so she can volunteer in other ways. Write an inequality to determine the number of days, s, Darcie can skip crocheting and still meet her goal." pls help lol
Answer:
Ive seen this question before, its supposed to be 3 blancckets and 15 days can be skipped
Step-by-step explanation:
60-45= 15
15 times 3 is 45
And the last answer is aslyn did not substitute the correct value for the height in the formula
100 points
Step-by-step explanation:
I think the answer will be step 3
A gym charges a one-time fee of $60 to join and membership dues of $25 per month
Part A
Complete the table to show how the total cost in dollars, C, and the number of months, m, of gym membership are related. Drag numbers to
complete the table. Numbers may be used once or not at all.
865
200
410
205
135
75
505
260
ות
3
8
14
C
Part B.
Which equation represents the total cost based on the number of months of gym membership?
O А.
C = 25m
B В.
C = 60 + 25m
Review progress
Question 5
of 22
Back
Next →
Answer:
Step-by-step explanation:
C=25m plus 75
angle I and N are complementary. If angle N has a meause of 48 degrees, find the measure of angle I
Answer:
42°
Step-by-step explanation:
Complementary angles are two angles that add up to 90°
1) 90-48 = 42
Hope this helps! :)
Answer:
angle I = 42 degree
Step-by-step explanation:
In complementary angles sum of two angles ia always 90 degree.
angle I +angle N=90 degree (since they are complementary)
substitute the value of angle N
angle I + 48 = 90
angle I = 90 -48
angle I =42 degree
Calculate the volume of this planter box in cubic centimeters.
If there are four of these planter boxes, would they fit in a 1 square meter area near the back
door? Show calculations to explain your answer.
(Pictures Attached)
Answer:
V=786,240cm³
Step-by-step explanation:
Volume=Length × base × height
v= 52cm×42cm×360cm
Pleaseee help ASAP !!!!!!!!!!!
Given:
The dimensions of base are 5 cm and 5cm.
The height of the pyramid is 3 cm.
To find:
The volume of the pyramid.
Solution:
The volume of a pyramid is:
[tex]V=\dfrac{1}{3}Bh[/tex] ...(i)
Where, B is the base area and h is the height of the pyramid.
The base area of the given pyramid is:
[tex]B=length \times width[/tex]
[tex]B=5 \times 5[/tex]
[tex]B=25[/tex]
Substituting [tex]B=25[/tex] and [tex]h=3[/tex] in (i), we get
[tex]V=\dfrac{1}{3}(25)(3)[/tex]
[tex]V=25[/tex]
Therefore, the volume of the given pyramid is 25 cm³. Hence, the correct option is A.
URGENT PLEASE HELP: Simplify
Answer:
cot (x)
Step-by-step explanation:
cot x
---------------
cos x sec x
We know that sec = 1/ cos
cot x
---------------
cos x 1/ cos x
cot x
---------------
1
cot (x)
Answer:
You're clicking on the correct answer, it's cot with that symbol, I dont have the symbol.
Use elimination to solve the system of equations:
3x + y = 10
- 4x - 2y = 2
Work:
Find the missing side. Round to the nearest tenth.
A.7.1
B.5.1
C.5.1
D.6.1
Answer:
5,1
Step-by-step explanation:
x= tan27⁰ x 10 ≈ 5,1
.....
Answer:
b or c or 5.1
Step-by-step explanation:
The basic trig identity that does not involve the hypotenuse is the Tan(theta).
Tan(theta) = opposite / adjacent. That definition applies only to a right triangle. It has to be modified if the triangle is some other kind.
The opposite side is the one not making up the reference angle (x in this case).
The adjacent side is the one making up the angle that is not the hypotenuse.
opposite side = x
adjacent side = 10
theta = 27 degrees.
Tan(theta) = opposite / adjacent
Tan(27) = x / 10
Tan(27) = 0.5095
0.5095 = x / 10 Multiply by 10
10*0.5095 = x
x = 5.095
It rounds to 5.1
No one except the answer key can know whether to choose b or c.
Determine the value for x in the picture below.
Answer:
x=9
Step-by-step explanation:
Similar triangles
8/20 = 6/(x+6)
==> 2/5 = 6/(x+6)
2/5x+12/5=6
2/5x=18/5
x=9
Given: line a ∥ line b. If m∠7 = 63° , then m∠4 = __ ? __.
Answer:
<1
Step-by-step explanation:
A regulation-size women's basketball has a diameter of 9.07 inches. What is the surface area of the basketball? Use 3.14 for π and round to the nearest tenth.
Answer:
258.3 sq inches
Step-by-step explanation:
Use the sphere surface area formula, SA = 4[tex]\pi[/tex]r²
The diameter is 9.07 inches, so the radius is 4.535 inches.
Plug in 3.14 as pi and 4.535 as r, and solve:
SA = 4[tex]\pi[/tex]r²
SA = 4(3.14)(4.535)²
SA = 258.3
So, the surface area is approximately 258.3 sq inches
Of the 25 students who take a standardized test, the minimum score is 98 and the maximum score is 312. The mean score is 216. Standard deviation is 52. What is the number of standard deviations that includes all the data values?
Answer:
5
Step-by-step explanation:
so we can say that 5 standard deviations include all the data values.
18.
Which of the following are the coordinates of the vertex of y= x2 - 10x + 2?
A. (–5, 23)
B. (–10, 2)
C. (5, –23)
D. (2, –10)
Hi there!
»»————- ★ ————-««
I believe your answer is:
C. (5, –23)
»»————- ★ ————-««
Here’s why:
I have graphed the given equation on a program. The vertex can be described as the 'turning point' of the parabola. When graphed, the parabola shows a vertex at (5, -23).See the graph below.»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
PLEASE I NEED THE ANSWER DON'T IGNORE MY QUESTION!!!
Answer:
14
Step-by-step explanation:
AB = 10+( 10/15 × 6)
= 10 + 4= 14
please help me and thank you.
Answer:
[tex]482.5\:\mathrm{in^2}[/tex]
Step-by-step explanation:
The area of the figure consists of a rectangle with a triangle removed from the corner of it. Therefore, the area of the composite of the figure can be found by subtracting the area of the triangle from the area of the rectangle.
Area of the rectangle: [tex]25\cdot 20=500\:\mathrm{in^2}[/tex]
Area of the triangle: [tex]\frac{1}{2}\cdot 5\cdot 7=17.5\:\mathrm{in^2}[/tex]
Thus, the area of the figure is [tex]500-17.5=\boxed{482.5\:\mathrm{in^2}}[/tex]
The ratio of coloured paper the white paper is 3:8 if there are 48 white paper how many coloured paper are there
Answer:
18
Step-by-step explanation:
Calculation to determine how many coloured paper are there
Let 3x represent the number of coloured papers
Let 8x represent the number of white papers
Given that 8x=48
Hence,
x=48/8
x=6
Now let determine how many coloured paper are there
Coloured paper=3x
Coloured paper=3(6)
Coloured paper=18
Thereffore the number of coloured paper that are there is 18
Which function describes this graph?
The points (4,1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x? A. X = -3 B. X = 3 C. X = 9 D. X = 11
Answer:
Step-by-step explanation:
Use the slope formula here along with the fact that the slope is equal to 1:
[tex]1=\frac{-6-1}{x-4}[/tex] and
[tex]1=\frac{-7}{x-4}[/tex] and cross multiply to get x - 4 = -7 so
x = -3
Abigail buys two cartons of strawberries. One carton has 19 berries and the other carton has 26 berries. She wants to divide the berries into bags so there are exactly 6 berries in each bag. How many bags will have 6 berries?
Answer:
7.5 bag
Step-by-step explanation:
Carton #1: 19 berries
Carton #2: 26 berries
^^add them up together to get hte total amount of berries! 19 + 26 = 45
She has 45 berries in total, then you divid it by 6 aka the amount of berries she wants in each bag 45 ÷ 6 = 7.5
When she divids them up she has 7 bags with 6 berries in each and 1 bag with 3 berries.
What is the common ratio for the sequence 5.-10. 20.-40. ?
-2
-1/2
1/2
2
Answer:
-1/5
Step-by-step explanation:
i think thsts correct answer if not the answer is 1/2
Write an equation for a line that is perpendicular to the line 6y – 9x = 12
Answer:
y = -2/3x + 4
Step-by-step explanation:
first we take the original equation and convert it to y=mx+b (a form we know how to graph)
that gives us y = 3/2x + 2
(Here's my work for that):
6y - 9x = 12; add 9x on both sides
6y = 9x + 12; divide 6 on both sides
y = 9/6x + 12/6
y = 3/2x + 2
next to make a line *perpendicular* to this, we make the slope negative and swap the fraction (-2/3)
then we just uh graph that slope and try to find the y intercept. i did it already and i got 4
Answer:
Step-by-step explanation:
You need one more piece of information to get a specific line. I'll get the general one and then we'll see what comes of it.
Add 9x to both sides.
6y - 9x + 9x = 9x + 12
6y = 9x + 12 Divide by 6
6y/6 = 9x/6 + 12/6
y = 1.5x + 2
Now the perpendicular line must have a slope that is found by using
m1 * m2 = - 1
m1 = 1.5 From the equation above.
1.5 * m2 = - 1 Divide by 1.5
m2 = -1/1.5
m2 = - 2/3
So far what you have is
y = -2/3 x + b You need a value for b. Usually that is found with a point. But I will just call b = 1 since there is nothing else to do
The complete equation becomes
y = -2/3 x + 1
The graph is enclosed.
En la fiesta de Juan repartieron el agua en jarras, cada una puede llenar 6 vasos. Si en total se utilizaron 6 jarras, ¿cuántos vasos sirvieron?
Answer:
36
Step-by-step explanation:
6 x 6
I don’t understand this equation. m= -3 and b = 3
can you please put the equation so i can answer it?
thank you!
