Answer:
an = 3n - 3
Step-by-step explanation:
The nth term of an arithmetic progression is expressed as;
an = a + (n-1)d
a is the first term
n is the number of terms
d is the common difference
a8 = a + (8-1)d
a8 = a + 7d = 21 ....1
a10 = a+9d = 27 ....2
Subtract 1 from 2
7d - 9d = 21 - 27
-2d = -6
d = -6/-2
d = 3
Since a + 7d = 21
a + 7(3) = 31
a + 21 = 21
a = 21 - 21
a = 0
Get the nth term
Recall that an = a + (n-1)d
an = 0 + (n-1)*3
an = 3n - 3
Hence the nth term of the sequence is 3n - 3
Joanna purchased four boxes of cookies for a party. Each box cost $3.28, including tax. PLEASE HELP!!! 100 POINTS!!! Which expression represents how to calculate the total cost of the cookies Joanna purchased?
4 ÷ $3.28
4 – $3.28
4($3.28)
4 + $3.28
Answer:
4 / ($3.28) is the correct answer
Step-by-step explanation:
As cost of one box is $3.28
the cost of four boxes will be 4 divided by the cost of one box....so that why the 4/($3.28) is correct option
The area of the base (B) of a shipping box is 14 1 2 in2. The height (h) of the box is 2 1 4 in. When determining the volume of the box, which statements are correct?
Answer:
[tex]V = 32\frac{5}{8}in^3[/tex]
Step-by-step explanation:
Given
[tex]B = 14\frac{1}{2}in^2[/tex] --- Base Area
[tex]h = 2\frac{1}{4}in[/tex] --- Height
Required
Correct statement to calculate the volume of the box.
No options were given. So, the general explanation is as follows.
Given the base area and the height of the box, the volume is calculated by multiplying the given base area and the height.
So, we have:
[tex]Volume (V) = Base\ Area * Height[/tex]
[tex]V = B *h[/tex]
[tex]V = 14\frac{1}{2} * 2\frac{1}{4}[/tex]
Convert to improper fractions
[tex]V = \frac{29}{2} * \frac{9}{4}[/tex]
[tex]V = \frac{29*9}{2*4}[/tex]
[tex]V = \frac{261}{8}[/tex]
[tex]V = 32\frac{5}{8}in^3[/tex]
The two triangles are congruent. Find the unknown variables. PICTUCE PROVIDED WILL GIVE BRAINLISET
What is the same about these two experiments?
Selecting a letter at random from the word “ALABAMA”
Selecting a letter at random from the word “LAMB”
Help plz i have 20 mins left
Answer:
Base = 81 Exponent = 3 raised to the power of 4 Repeated multiple = 3 x 3 x 3 x 3
The value = 81
Step-by-step explanation:
My bad if im wrong on any of em
Answer:
1. 3
2. 4
3. 3x27=81
4. 81
Step-by-step explanation:
There were 11 students running in a race how many different arrangements of first second and third place are possible
Answer:
990Explanation:
For first place, we have 11 choices
11 × __ × __
For second place, we have 10 choices
11 × 10 × __
And for third place, we have 9 choices
11 x 10 x 9 = 990 ways
This is also a permutation
11! / (11-3)! = 990
Hope it helps
Please help. Will give Brainliest!!
Answer:
a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]
Step-by-step explanation:
Using the sine ratio in the right triangle and the exact value
sin45° = [tex]\frac{1}{\sqrt{2} }[/tex] , then
sin45° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{2}{3a}[/tex] = [tex]\frac{1}{\sqrt{2} }[/tex] ( cross- multiply )
3a = 2[tex]\sqrt{2}[/tex] ( divide both sides by 3 )
a = [tex]\frac{2}{3}[/tex] [tex]\sqrt{2}[/tex]
Answer:
we have
sin 45=perpendicular/hypotenuse
1/√2=2/3a
3a=2√2
a=2√2/3=0.94
The largest group in the plant kingdom is :
A.) fungi
B.) nonvascular plants
C.) protist
D.) vascular plants
Answer:B
Step-by-step explanation:
Which describes the intersection of the ceiling and a wall of a classroom?
A. Line
B. Point
C. Two Points
D. Two Lines
Please help! Don’t send me a link just the letter!
Find the
3 m
Diameter=
Circumference =
Area =
Answer:
Answers below
Step-by-step explanation:
Radius = 3m
Diameter:
d = 2r
d = 2(3m)
d = 6m
Circumference:
c = 2πr
c = 2π(3m)
c = 6π m
c = 18.85 m
Area:
A = 2πr^2
A = 2π(3m)^2
A = 18π m^2
A = 56.55 m^2
Please mark brainliest if this helped
Please mark brainliest if this helped
Use a periodic table to calculate the applicable molar mass. Density of water is 1kg/1L.
A solution was made with 300 grams of (C3H5OH) and 500 grams of water.
What is the molarity of this solution?
Question 2 options:
0.19
0.81
10.33M
19 M
Answer:
What is the molarity of this solution is 0.81
Step-by-step explanation:
Answer option B) 0.81.
39 BRAINLY POINTS PLEASE HELP.
SYSTEM OF INEQUALITIES.
Two stakes are holding a small blimp in place. Stake A measures
an angle of elevation of 49° and Stake B measures an angle of
elevation of 58º. If the string attached to Stake A has a length of
148 feet, what is the length of the string attached to Stake B?
Answer: 131.7 ft
Step-by-step explanation: use 148 as side measure b, then solve for measure of side a
with two given angles and one given side, use law of sines.
a = b•sin(A)/sin(B) = 131.71071
c = b•sin(C)/sin(B) = 166.89278
if you want to find angle measures:
180-A-B
180-49-58=73
C=73
The length of the string attached to stake B is 166.3 feet.
What is trigonometry?Trigonometry is mainly concerned with specific functions of angles and their application to calculations. Trigonometry deals with the study of the relationship between the sides of a triangle (right-angled triangle) and its angles.
For the given situation,
An angle of elevation of stake A = 49°
The length of the string attached to stake A,a = 148 feet
An angle of elevation of stake B = 58°
Let the length of the string attached to stake B be b.
Then by law of sines,
[tex]\frac{Sine A}{a}=\frac{Sine B}{b}[/tex]
On substituting the above values,
⇒ [tex]\frac{Sine 49}{148}=\frac{Sine 58}{b}[/tex]
⇒ [tex]b=\frac{(Sine 58)(148)}{Sine49}[/tex]
⇒ [tex]b=\frac{(0.8480)(148)}{0.7547}[/tex]
⇒ [tex]b=166.29[/tex] ≈ [tex]166.3[/tex]
Hence we can conclude that the length of the string attached to stake B is 166.3 feet.
Learn more about trigonometry here
https://brainly.com/question/13098194
#SPJ2
Evaluate F (-5) and f(2) without a calculator 
Answer:
f(x) = 3x2 + 5 and y = 3x2 + 5
Step-by-step explanation:
The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.
can someone please help me
Answer:
It would be 1 since x is directly = to y
Step-by-step explanation:
Sabendo que 12 é raíz de p(x)=x²–mx+6 determine o valor de m A)25 B)2 C)14 D)12,5 E)7,5
Answer:
b
Step-by-step explanation:
HELP ME GET THIS QUESTION CORRECT EXRA POINTS
Mary wants to find this product. 58 x 20 How can Mary find the product? A. 0 +16 + 100 B. 0 + 160 + 1000 . C. 58 + 16 + 100 D. 58 + 16 + 1000
Answer:
B
Step-by-step explanation:
58×20=1160
0+160+1000=1160
What is the area of the square?
5 cm
200 cm?
O 100 cm
O 25cm
2
O 60cm
I need how you did it too
Answer:
100cm^2
Step-by-step explanation:
5×2=10 which is one side
base×height=area
10×10=100
I need to know is One percent is greater than zero percent
Answer:
yes 1% is greater than 0% because 0 is nothing and 1 will always be greater than 0 unless there is something i dont know about UwU
Step-by-step explanation:
find the domain and the range
Answer:
D: all real numbers, R: y ≤ -4
Step-by-step explanation:
R: y ≤ -4
Because the line doesn't go beyond -4.
PLS ANSWER THIS IM SO CONFUSED!!!!
Who is the volume of a sphere that has the radius of 3 inches
Answer:
113.1
Step-by-step explanation:
i just did the math
Answer:
113.1 is the answer
I just multiplied
PLEASE HELP ASAP f(x) = x2 What is g(x)?
O A. g(x) = (4x)2
O B. g(x) = 1/4x2
O c. g(x) = 4x²
O D. g(x) = 16x²
Answer:
c. g(x) = 4x^2
Step-by-step explanation:
From a first glance, since g(x), is skinnier than f(x), meaning that it is increasing faster, so I know that I can eliminate options A & B since the coefficient on x needs to be greater than 1.
We can then look and see that g(1) = 4 as shown by the point given to us on the graph.
To find the right answer we can find g(1) for options C & D and whichever one matches the point on the graph is our correct answer. e
Option C:
once we plug in 1 for x, our equation looks like
4(1)^2.
1^2 = 1, and 4(1) = 4,
so g(1) = 4. and our point is (1,4).
This is the same as the graph so this is the CORRECT answer.
If you want to double check, you can still find g(1) for option D and verify that it is the WRONG answer.
Option D:
once we plug in 1 for x, our equation looks like
16(1)^2
1^2 = 1, and 16(1) = 16,
so g(1) = 16. and our point is (1,16).
This is different than the graph so this is the WRONG answer.
The volume of a cube whose edge is 6 cm long, in cubic centimeters, is
The volume of a cube whose edge is 6 cm long is 216
The vertices of trapezoid ABCD are A(3,-2), B(7,-2), C(8,- 7), and D(1, - 7). Graph ABCD and
A'B'C'D', its image after a reflection across the x-axis.
Answer:
B
Step-by-step explanation:
When reflecting a figure over the x-axis, flip the sign of the y-coordinates for the vertices.
For this figure, trapezoid ABCD, the vertices are:
A (3, -2)
B (7, -2)
C (8, -7)
D (1, -7)
Flipping the signs of the y-coordinates gives us:
A (3, 2)
B (7, 2)
C (8, 7)
D (1, 7)
The only graph that has trapezoid A'B'C'D' with vertices matching these four values is the graph for B, so the answer is B.
please help me out!!!!
select all the expressions that equal
please help quickly!!!!!
Answer:
y + 8 = -2(x - 4) which matches Answer D
Step-by-step explanation:
The point-slope equation is y - k = m(x - h). Assuming that the slope is -2 (all of the answer choices involve m = -2), and knowing that the line passes through (4, -8), we have:
y + 8 = -2(x - 4) which matches Answer D
If the width is 2 cm, the length is 4 cm, and the height is 1.5 cm, find the volume of
the prism.