Answer:
B) 55, 68,81
Step-by-step explanation:
42-29=13
29-16= 13
So 42 + 13= 55
55+ 13= 68
68+ 13= 81
Answer:
B) 55, 68, 81
Step-by-step explanation:
Given sequence: 3, 16, 29, 42
To determine if the sequence is arithmetic or geometric, work out the difference in the terms.
[tex]\sf 3 \underset{+13}{\longrightarrow} 16 \underset{+13}{\longrightarrow} 29 \underset{+13}{\longrightarrow} 42[/tex]
This sequence adds 13 each time, so as the common difference is constant, it is an arithmetic sequence. To find the next term in the sequence, simply add 13 to the last term:
42 + 13 = 55
55 + 13 = 68
68 + 13 = 81
Therefore, the next three terms in the given sequence are 55, 68, 81
To solve this using the general form of an arithmetic sequence:
[tex]a_n=a+(n-1)d[/tex]
where:
[tex]a_n[/tex] is the nth terma is the first termd is the common difference between termsGiven:
a = 3d = 13[tex]\begin{aligned}\implies a_n & =3+(n-1)13\\ & = 3+13n-13\\ & = 13n-10\end{aligned}[/tex]
Therefore, the next 3 terms in the sequence are:
[tex]\implies a_5=13(5)-10=55[/tex]
[tex]\implies a_6=13(6)-10=68[/tex]
[tex]\implies a_7=13(7)-10=81[/tex]
9) Farmer Joe has lots of rabbits and lots of predators on his farm. Only 3 out of every 10 rabbits live
long enough to reproduce. At this rate, how many rabbits will there need to be in order for 27 of them to
reproduce?
Step-by-step explanation:
you will need 10 for every 3 rabbits so if you count in tens and three's
3=10
6=20
9=30
and so on..
when you get to 27 you'll be at 90
27=90
hope u understand :>
The fox population in a certain region has an annual growth rate of 5 percent per year. It is estimated that
the population in the year 2000 was 28400.
(a) Find a function that models the population t years after 2000 (t = 0 for 2000).
Your answer is P(t)
=
(b) Use the function from part (a) to estimate the fox population in the year 2008.
Your answer is (the answer should be an integer)
Answer:
See below
Step-by-step explanation:
population = 28400* ( 1+.05)^t t = years past 2000
8 years from 2000 pop = 28400(1.05)^8= 41 960 foxes
Write the algebraic expression that matches each graph.
(WILL GIVE BRAINLIEST!)
Answer:
y=11
Step-by-step explanation:
NOTES
Lucia and Jack are training for a marathon. Lucia started the first day by running 2 miles and adds 0.25 mile to her distance every day, Jack
started the first day by running 0.5 mile and adds 0.5 mile to his distance every day. If both continue this plan, on what day will Lucia and
Jack run the same distance?
Answer:
Day 3
Step-by-step explanation:
2+0.25+0.25=2+0.50=2.50
0.5+0.5+0.5=2+0.5=2.5=2.50
they both run 2.50 miles on day three
Ali and Keesha found a sale in a sporting goods store. Ali spent $33 on 2 pair of shorts and 3 packages of socks. Keesha spent $27 on 1 pair of shorts and 5 packages of socks. How much does one of each item cost?
Answer: shorts cost $12 and socks cost $3
Step-by-step explanation:
The diameter of a circle is 20 m. Find the circumference to the nearest tenth.
Answer:
about 62.8 meters
Step-by-step explanation:
[tex]c = 20\pi = 62.8[/tex]
If the radius of the circle below is 12 feet, find the area of the shaded region.
If the radius of the circle below is 12 feet is given then the area of the circle would be 452.16 ft square.
What is the area of the circle?The area of the circle is defined as the product of the pie and the square of the radius.
The area of the circle = [tex]\pi r^{2}[/tex]
If the radius of the circle below is 12 feet is given then
The area of the circle = [tex]\pi r^{2}[/tex]
[tex]\pi 12^{2} \\\\3.14 \times 144\\\\452.16[/tex]
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28 out of 35 students in ms. baileys class have older siblings. what percent of the class has older siblings
Answer:
80%
Step-by-step explanation:
We can get the percent value of the amount of students who have older siblings by diving 28 by 35.
28 / 35 = 0.8
We can convert this decimal into a percentage, giving us 80%.
Therefore, we know that 80% of the students in Ms. Bailey's class have siblings.
Can you crack the code?
One number is
correct and placed
well
2
6
5
Nothing is right
3
8
7
One number is correct but wrongly placed
2
3
4
Two numbers are correct but wrongly placed
4
7
1
The numeric logic has a digit of
?
?
?
Answer:
1,2,4 is the correct answer
hope it'll help you out
6x -3y -15 = 0 please solve for me
Step-by-step explanation:
Add 3y to both sides
6x-3y- 15 + 3y =0+3y
Simplify
6x- 15 =3y
Add 15 to both sides
6x-15 + 15 =3y + 15
Simplify
6x =3y+ 15
Divide both sides by6
6x/6= 3y/6+ 15/6
x=y+5/2
please help this is urgent!!
Answer:
x=37 and scalene or right triangle
Step-by-step explanation:
Answer:
37°
Step-by-step explanation:
Any Triangle his total angles = 180
then: 53 + 90 + X = 180
then: X= 180 - (90+53)
= 37
Find the product write the product as a whole number or a mixed number 3/10 x 65
Answer:
[tex]19 \frac{1}{2} [/tex]
Step-by-step explanation:
[tex] \frac{3}{10} \times 65 = \frac{3}{10} \times \frac{65}{1} = \frac{195}{10} = 19.5 = 19 \tfrac{1}{2} [/tex]
The required simplified value of the given product is a mixed value 19 1/2.
Given that,
To determine the product write the product as a whole number or a mixed number 3/10 × 65.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Given expression,
= 3/10 × 65
= 195/10
= 19.5
=19 1/2
Thus, the required simplified value of the given product is mixed value 19 1/2.
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Question 7 of 10
How many different roots does the polynomial function, y = (x - 2)(+3)
have?
O A. 4
B. 3
O c. 2
O
D. 1
SUBMIT
c. 2
you should just get an app on ur phone its easier than asking here
Two different roots the given polynomial function have. Therefore, option C is the correct answer.
What is the solution of a quadratic equation?The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.
The given equation is y=(x-2)(x+3)
The roots (zeros) are the x values where the graph intersects the x-axis. To find the roots (zeros), replace y with 0 and solve for x.
Here, (x-2)(x+3)=0
(x-2)=0 and (x+3)=0
x=2 and x=-3
Therefore, option C is the correct answer.
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"Your question is incomplete, probably the complete question/missing part is:"
How many different roots does the polynomial function, y = (x - 2)(x+3)?
A. 4
B. 3
C. 2
D. 1
I do not know how to do this! Please help me!
This figure is made of part of a circle and part of a square. What are the perimeter and the area of the figure? Use paper if it helps you with your thinking.
[tex]\qquad\qquad\huge\underline{\boxed{\sf Answer}}[/tex]
Perimeter of given figure is equal to :
Perimeter of square - side length + quarter Circumference of the circle
that is :
[tex]\qquad \sf \dashrightarrow \:(10 \times 4) - (5 + 5) + \dfrac{2 \pi r}{4} [/tex]
[tex]\qquad \sf \dashrightarrow \:40- 10 + \dfrac{3.14 \times 5}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30+ \dfrac{15.7}{2} [/tex]
[tex]\qquad \sf \dashrightarrow \:30 + 7.85[/tex]
[tex]\qquad \sf \dashrightarrow \:37.85 \: \: units[/tex]
So, the required perimeter is 37.85 units
A whole number is squared. The result is between 200 and 260. The number is between:
A) 10 and 11
B) 15 and 16
C) 13 and 14
Answer:
B
Step-by-step explanation:
b is correct
-5, 10 ,-20 ,40 value b
Step-by-step explanation:
fold -2
40×(-2) = -80 ........
Find the volume of this shape. Show work and round to the nearest hundredth pls.
Answer:
V = 150.80 cu.ft.
Step-by-step explanation:
shape is a cone
[tex]V=\frac{1}{3} \pi r^{2} h[/tex]
[tex]r=8/2=4ft[/tex]
[tex]h=9ft[/tex]
Then:
[tex]V=\frac{1}{3} \pi (4)^{2} (9)=48\pi =150.80cu.ft[/tex]
Hope this helps
The sum of two fractions is 2/3.
One fraction is 1/2.
What is the other fraction?
Answer:
0.5/3
Step-by-step explanation:
1/2 can be turned into 2/4, which means that to be 1/3, it has to be 1.5/3. 1.5/3 + 0.5/3 equals 2/3.
Select the true equations from 2 lb =32 oz , 4oz = 64 lb , 3lb 4 oz = 52 oz , 0.5 lb = 12 oz , 3 T = 600 lb , 0.5 T = 1000 lb
Answer:
3lb 4oz and .5T=1000lbs
Step-by-step explanation:
1 lb = 16 oz 3×16=48 then +4 = 52 and 1T=2000lbs 2000 ÷ 2=1000
All four triangles are similar, and two of the triangles are also congruent to each other. Drag the correct unit side lengths and angle measures to te corresponding boxes. Note that some values may be approximate.
Answer:
Step-by-step explanation:
I get everything correct
Find the surface area of this triangular prism. Be sure to include the correct unit in your answer.
The number that indicates the extent of a region on a plane or a curved surface is known as area. The total surface area of this triangular prism is 1,782 cm².
What is the area?The number that indicates the extent of a region on a plane or a curved surface is known as area. The area of a plane region or plane area refers to the area of a form or planar lamina, whereas the area of an open surface or the border of a three-dimensional object is referred to as surface area.
The given figure has two rectangles and two triangles, therefore, the total surface area can be written as,
[tex]\rm Total\ Surface\ Area =\text{Surface area of rectangle1} + \text{Surface area of rectangle2} + (2 \times \text{Surface area of triangle})\\[/tex]
Substitute the dimensions we will get,
[tex]\rm Total\ Surface\ Area =( 25 \times 30)+ (24 \times 25) + (2 \times \dfrac12 \times 18 \times 24)[/tex]
[tex]\rm = 750+600+432\\\\=1,782\ cm^2[/tex]
Hence, the total surface area of this triangular prism is 1,782 cm².
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Write the equation of the line which passes through the point (6, 1) and
is perpendicular to the line y = 3x - 2:
Answer : Look at the right hand side of the page y = 1/3x + 3
A pizza dough recipe has a ratio of 5 cups of flour to 2 cups of water. There are ?
cups of flour per cup of water
Answer:
2.5 cups of flour per cup of water.
Step-by-step explanation:
We can divide the entire recipe by two, to get the amount of flour to 1 cup of water.
5/2 = 2.5
2/2 = 1
Therefore, 2.5 cups of flour needs 1 cup of water.
Answer:
There are 2.5 cups of flour per cup of water
Step-by-step explanation:
Step 1: Find the ration
Cups of Flour : Cups of Water
5 : 2
2.5 : 1
Answer: There are 2.5 cups of flour per cup of water
What is the area of this triangle? Please help
150 cm2
210 cm2
315 cm2
420 cm2
Answer:
[tex]B.210\ cm^2[/tex]
Step-by-step explanation:
[tex]We\ are\ given,\\Length\ of\ the\ base=35\ cm\\Length\ of\ the\ perpendicular\ dropped\ to\ the\ base=12\ cm\\We\ know\ that,\\Area\ of\ triangle=\frac{bh}{2}\\ Here,\\Area\ of\ triangle=\frac{12*35}{2}=6*35=210\ cm^2[/tex]
Find the side length of a square with area 16/49 square inches
Answer: the correct answer is S= 4/7 inches.
A circular flower garden surrounds a sculpture on a square base as shown. What is an expression for the area of the flower garden?
The number from the center of the square is 6x and the flower garden area is 4x
The given object is made up of circle and squares. The expression for the area of the flower garden is 4π²(9π - 4)square units
Area of composite objectThe given object is made up of circle and squares. To find the area of the garden, we wil use the expression
Area of the garden = area of circle - area of square
Find the area of circle
Area = πr²
Area = π(6π)²
Area pf circle = 36π³ square units
For the square
A = length * length
A = 4²π²
A = 16π²square units
Take the difference
D = 36π³ - 16π²
D =4π²(9π - 4)square units
Hence the expression for the area of the flower garden is 4π²(9π - 4)square units
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Answer: (pi * r^2) - (6x*4x)
Step-by-step explanation:
Since the formula of the area of a circle is pi * r^2 and the area of a square is base* height or in this case 6x*4x the answer is: (pi * r^2) - (6x*4x). The reason we subtract is because your trying to find the area of the square inside the circle.
Watch help video Given mn, find the value of x. (6x-3)⁰ (2x+13)°
Answer:
x = 4
Step-by-step explanation:
(6x - 3)° = (2x + 13)° are vertical angles that equal each other get x by itself and solve for x.
(6x - 3)° = (2x + 13)°
6x - 2x = 13 + 3
4x = 16
x = 4
Substitute x for the angles.
(6x - 3)° = ?
(6*4 - 3)° = ?
(24 - 3)° = 21°
(2x + 13)° = ?
(2*4 + 13)° = ?
(8 + 13)° = 21°
I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER
Answer:
use sine or cosine rule
Step-by-step explanation:
that's the answer by using the sine rule
Answer:
Step-by-step explanation:
use this dataset for the next three questions: 5, 10, 12, 4, 6, 11, 13, 5 1. Calculate the mean. 2 Ultimate Medical Academy.
calculate the mean
Answer:
11.8
Step-by-step explanation:
5 + 10 + 12 + 4 + 6 + 11 + 13 + 51= 118
The average (mean) is equal to the sum of all the data values divided by the count of values in the data set.
Count = 10
Sum = 118
Average = Sum / Count
118/10= 11.8
Estimate the amount of the tip by rounding the bill to the nearest dollar before calculating.
15% tip on a bill of $41.58 The amount of the tip is approximately $
Answer:
Approximately $6.24
Step-by-step explanation:
You have to multiply 41.58 by 0.15 (basically 15%) and you have your answer.