Answer:
Step-by-step explanation:
Number 1 FALSE
9 * 9 * 3 = 81 * 3 = 243
Number 2 TRUE
7 + 7 + 7 = 3 + 3 + 3 + 3 + 3 + 3 + 3
7 * 3 = 3 * 7
21 = 21
Number 3 FALSE
17 * 17 * 17 = 4913
Number 4 FALSE
4 * 1 = 4
Number 5 FALSE
6 + 6 + 6 = 18
Lesson 4.02
A grocery store finds that the number of boxes of a new cereal sold increases each week. In the 1st week,
32 boxes of the cereal were sold. In the 2nd week, 56 boxes of the cereal were sold and in the 3rd week 80
boxes of the cereal were sold. The number of boxes of cereal sold each week represents an arithmetic
sequence.
A) State the explicit rule for the arithmetic sequence that defines the number of boxes of cereal sold in
week n.
B) Use this rule to calculate how many boxes of cereal will be sold during the 12th week.
The boxes in the grocery store is an illustration of an arithmetic sequence
The explicit rule of the sequence is f(n) = 32 + (n - 1) * 24, and there are 296 boxes in the 12th week
How to determine the explicit rule?
The arithmetic sequence can be represented as:
32, 56, 80.......
Calculate the common difference (d)
d = 80 - 56 = 24
An arithmetic sequence is represented as
f(n) = a + (n -1) * d.
So, we have
f(n) = 32 + (n - 1) * 24
The number of box in the 12th week.This means that n = 12.
So, we have
f(12) = 32 +(12-1)*24
Evaluate
f(12) = 296
Hence, there are 296 boxes in the 12th week
Read more about arithmetic sequence at:
https://brainly.com/question/6561461
BRAINLISTTT please explain how to do this!!
Answer:
You can make either an x|y list or use desmos graphing calculator to help you.
Step-by-step explanation:
x|y list means you should pick a value like -2,-1,0,1,2 and plug it in for x and the value you get is the y and you can plot those points on the graph.
D) If Clarissa pays $84 to buy a watch after a
discount of 20%, find the original price of the
watch
Answer:
$100.80
Step-by-step explanation:
84 * 1.20 (120%) is 100.80
Answer:100.8
Step-by-step explanation:
0.2x84=16.8 so 16.8 is the discount.
84+16.8=100.8
What are the factors of m2 – 12m 20? m – 14 and m – 6 m – 10 and m – 2 m – 9 and m – 3 m – 5 and m – 4
Answer:
B
Step-by-step explanation:
-10 and -2
Answer:
-10 and -2
Step-by-step explanation:
Need ans for it fastt!!
[tex]\text{L.H.S}\\\\=\dfrac{1}{\sin^2 A} - \dfrac1{\tan^2 A}\\\\\\=\dfrac{1}{\sin^2 A}- \dfrac{1}{\tfrac{\sin^2 A}{\cos^2 A}}\\\\\\=\dfrac{1}{\sin^2 A} - \dfrac{\cos^2 A}{\sin^2 A}\\\\\\=\dfrac{1 - \cos^2 A}{\sin^2 A}\\\\\\=\dfrac{\sin^2 A}{\sin^2 A}\\\\\\=1\\\\=\text{R.H.S}\\\\\text{Proved.}[/tex]
Three students, Alicia, Benjamin, and Caleb, are constructing a square inscribed in a circle with center at point C.
Alicia draws two diameters and connects the points where the diameters intersect the circle, in order, around the circle.
Benjamin tells Alicia that she was not being very accurate. He says that the diameters must be perpendicular to each other. Then she can connect the points, in order, around the circle.
Caleb tells Alicia and Benjamin that he doesn’t need to draw the second diameter. He says that because a triangle inscribed in a semicircle is a right triangle, he will simply draw two such triangles, one in each semicircle. Together the two triangles will make a square.
Who is correct?
Only Alicia is correct.
Only Benjamin is correct.
Only Caleb and Benjamin are correct.
Only Caleb is correct.
Alicia, Benjamin, and Caleb are all correct
pls help me to answer this
Explanation:
We'll have rectangles to represent the four categories mentioned in the table. The height of each rectangle (known as a "bar") represents the number of people in that particular category.
For example, we have 11 people who rated their visit as "poor", so the bar labeled "poor" will be 11 units tall. The same will apply to the other bars.
Pay special attention there are gaps between adjacent bars. This is in contrast to a histogram where there are no gaps. This is simply a style choice.
Elizabeth is five-sixths the age of her
sister Nancy. If Elizabeth is ten years
old, how old is Nancy? Write an
equation
to calculate Nancy's age.
Answer: Nancy is 12
Nancy = 5/6N =10
Step-by-step explanation:
Elizabeth = 5/6N
5/6N = 10
Divide both sides by 5/6
pleaseeeeeeeeee help math
Answer: 8
Step-by-step explanation: to find 20% multiply 40 by .20
Think carefully about the angle relationship the following represents.
What is the value of x?
1) 48
2) 66
3) 24
4) 33
Answer:
x = 66°
Step-by-step explanation:
The angles lie on a straight line.
→ A straight line has total 180 degrees
2(x) + 48° = 180°2(x) = 180° - 48°2(x) = 132°x = 66°Answer:
2) 66
Step-by-step explanation:
2x + 48° = 180° (Angles in linear pair)
-> 2x = 180° - 48°
-> 2x = 132°
-> x = 132°/2
-> x = 66°
41.6%, 15/25, 4.3, 18.4, 1/4 greatest to least
I will mark brainliest and please no links
Answer:
18.4, 4.3, 0.6, 0.416, 0.25
Step-by-step explanation:
Change all sets to the same value (decimal)
41.6 / 100 (move decimal 2 to the left) =
0.416
15/25 =
0.6
4.3
18.4
1/4 =
0.25
Data:
0.416, 0.6, 4.3, 18.4, 0.25
greatest to least;
18.4, 4.3, 0.6, 0.416, 0.25
In a group of 50 patrons, 14 patrons like lattes and espressos, 11 patrons like
espressos and cappuccinos, 7 patrons like lattes and cappuccinos, and 3
patrons like all 3 coffee drinks. Altogether, 22 patrons like lattes, 30 patrons
like espressos, and 23 patrons like cappuccinos. How many patrons don't like
any of these coffee drinks?
Answer:
B
Step-by-step explanation:
This problem can be solved using a venn diagram! Just draw bubbles and the common numbers! I attached an image below!
With these numbers we can see how many there are in common. By subtracting the common numbers we get that there are 4 that don't like any. So the answer is B.
Yo I need to bring up my grade bad so
3x=3y-6
(please show it graphed already :D)
Answer:
Step-by-step explanation:
Need some help with a math problem. The problem is: The figure is made by attaching semicircles to each side of an 11 ft-by-11-ft square. Find the area, in square feet, enclosed by the figure. Use 3.14 for pi. Round to the nearest whole number.
Enlarge the house using a scale factor of 1 : 2.
Answer:
See picture & explanation below.
Step-by-step explanation:
The scale is 1:2, so everything is doubled in size.
Count the number of squares each segment is in length and multiply it by 2. Then draw all new segments that are twice as long as the original ones to create a house that is twice as large as the original house.
See the picture below.
-2 1/5 (10x - 4.4) - 0.32
math help i’ve been stuck on this for the longest
If sally had 5 apples and Sam took 3 how many apples are left
Answer:
2 apples are left
Step-by-step explanation:
Find the area of the shaded region. Round your answer to the nearest tenth.
please help
Answer:
41.0 cm^2 to nearest tenth.
Step-by-step explanation:
Required area = Area of the semicircle - area of the clear triangle
Area semicircle = 0.5πr^2
= 0.5π *6^2
= 18π.
Finding Altitude h of the triangle :
cos 60 = h / 6
h = 6 cos 60 = 6 * 1/2
= 3.
Finding Base b of the triangle:
sin 60 = 0.5b / 6
0.5b = 6 * sin 60
= 5.196.
So area of the triangle = h * 0.5b
= 3 * 5.196
Area of shaded region
= 18π - 3 * 5.196
= 40.96 cm^2
Answer:
38.52 cm²
Step-by-step explanation:
Take the shaded area to be found into 2 parts :
Left sectorTop area subtended by the chordArea of left sector
As the area subtended by the chord takes up an angle of 120°, the remaining angle of the semicircle is :180° - 120° = 60°Area = πr² x (angle of sector)/360°Area = 3.14 x (6)² x 60/360Area = 3.14 x 36 x 1/6Area = 3.14 x 6Area = 18.84 cm²Area subtended by top chord
Area (120° sector) - Area (triangle)Area = πr² x θ/360 - 1/2bhArea = 3.14 x 36 x 120/360 - 1/2 x 6 x 6Area = 3.14 x 12 - 18Area = 37.68 - 18Area = 19.68 cm²Area (shaded)
Area (left sector) + Area (subtended by chord)18.84 + 19.6838.52 cm²What is it? pls help!
Answer: rational number
Step-by-step explanation: -2.33333 ...
Answer:
Classifications 1 & 2
Step-by-step explanation:
Real number: because It is located on the number line, belongs to negative numbers.
Rational number: because it is a fraction (quotient)
-7/3 it is not a integer number or whole number
Hope this helps
Perry pays $340 per month to lease her car. How much will she pay to lease her car for two years?
$340 × 24 (12 months in one year)
= $8160
A truck driver earns $51.20 driving an 80-mile route. The driver’s next route is 120 miles long and is billed at the same rate.
How much does the driver earn on this next route?
Answer:
$76.80
Step-by-step explanation:
since you can't multiply to more easially get your answer you want to divid ethe $51.20 by 2 which = $25.60
he get's 25.60 for 40 miles
since 120 divided by 3 = 40 this means:
40x3=120
25.60x3=76.80
25.60+25.60=51.20+25.60= 76.80
Hope this helps!
Brainliest please!
Please fully rate!
Have a great day!
Please someone help!!!!
Kristine observes the top of a lookout tower from a point 220 ft from its base.
If the indicated angle of elevation measures 37º, how tall is the tower? Give your answer to the nearest tenth of a foot.
Answer:
165.8 ft (nearest tenth)
Step-by-step explanation:
We can use the tan trig ratio to calculate the height of the tower.
[tex]\sf tan(\theta)=\dfrac{O}{A}[/tex]
where:
[tex]\theta[/tex] = the angleO = the side opposite the angleA = the side adjacent the angleFrom inspection of the diagram:
[tex]\theta[/tex] = 37°O = height of tower (let's call this h)A = 220 ftSubstituting these values into the trig tan ratio:
[tex]\sf \implies tan(37)=\dfrac{h}{220}[/tex]
Multiply both sides by 220:
[tex]\sf \implies 220tan(37)=h[/tex]
[tex]\sf \implies h=220tan(37)[/tex]
[tex]\sf \implies h=165.781891[/tex]
Therefore, the height of the tower is 165.8 ft (nearest tenth)
In the figure below
You have several boxes with the same dimensions. They have a combined volume of 4x4-21x²-46x + 219x + 180. Determine whether the binomial below could represent the number of boxes you have.
x+3
A) Yes; x+3 divides evenly. you get 4x^3-33x^2+53x+60
B)No; x-3 does not divide evenly. You get 4x^3-33x^2+53x+60 with a remainder of 12.
C)No; x+3 divides evenly. you get 4x^3-33x^2+53x+60
Answer:
The following are the choices for this problem:A. x+4 B. x+3 C. x-5 D. 4x+3
Factoring 4x^4-21x^3-46x^2+219x+180, this will give us then the short answer of x+4.
The factor theorem states that if x-n is a factor of function f(x) = 4x^4-21^3-46^2+219x+180 then f(x) = 0.
So let us evaluate f(-4) which gives 4(256) - 21(-64) -46(16) +219(-4) + 180 = 936
Since the function f(-4) does not equate to zero, we could say that x+ 4 is not a factor.
So using x+3: f(-3) = 4(81) - 21(-27) -46(9) +219(-3) + 180 = 0, so x+3 is a factor.
Step-by-step explanation:
hope this helps if do mark brainllest
I got the question wrong
Answer:
Philadelphia
Step-by-step explanation:
Philadelphia
in 1990 the population was 1.6 million.in 2000 the population decreased to about 1.5 million.San Diego
in 1990 the population was 1.1 million.in 200 the population increased to about 1.2 millionHouston
in 1990 the population was 1.6 million.in 2000 the population increased to 2 million.Phoenix
in 1990 the population was 1 million.in 2000 the population increased to 1.2 million.
Explanation:
The top bar as a darker shade represents the population in 1990, and the lighter shade down below is the population for the year 2000.
The city of Dallas has its population increase because the lighter shaded bar is longer. This rules out choice A. Choices B and C are ruled out for similar reasoning (Phoenix and San Diego also show population growth).
Only Philadelphia experiences population decline during this time period.
Expand & simplify
4
(
x
+
5
)
+
5
(
x
−
5
)
4(x+5) + 5(x-5)
The first step is to distribute (PEMDAS --> parenthesis)
4x + 20 + 5x - 25 Now combine like terms
9x - 5
Thus, the answer is 9x-5
What is the equation of a line that is perpendicular to 2x+y=−4 and passes through the point (2, −8)?
please help!!!!!!!!!!!!!!
Answer:
y2=(1/2)x-9
Step-by-step explanation:
y= -2x-4
perpendicilar so multiplication of slope is -1
-2*m2=-1
m2=1/2
y2=(1/2)x+c need to passes trough (2,-8)
-8=(1/2)*2+c
-8=1+c
c=-9
y2=(1/2)x-9
Alissa has purchased land for $42,000. Its value is increasing at a rate of 1.75% per year. What will be
the approximate value of the land in 12 years?
Answer:
42000(1.0175)^12 = $51720.45
Step-by-step explanation:
is (x+5) A FACTOR OF f(x) = x3 − 4x2 + 3x + 7
Answer:
(x+5) is not a factor of f(x)
Step-by-step explanation:
Step 1 : we solve the equation x +5 = 0
x + 5 = 0 then x = -5
Step 2: we plug in -5 into f(x)
If we get zero then x+5 is a factor of f(x)
If we get a number other than zero then x+5 is not a factor of f(x)
Calculation:
f(-5) = (-5)³ − 4(-5)² + 3(-5) + 7 = - 233
Since we got -233 and not 0
Therefore ,(x+5) is not a factor of f(x)
Answer:
(x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7
Step-by-step explanation:
To see if (x + 5) is a factor, you can use either synthetic division or long division.
I'll be using synthetic division to divide f(x) by (x + 5):
-5 | 1 -4 3 7
| -5 45 -240
---------------------
1 -9 48 -233
The remainder is -233, which means that (x + 5) is not a factor of f(x) since there is a remainder.
Therefore, (x + 5) is not a factor of f(x) = x^3 - 4x^2 + 3x + 7.