Answer:
A. Arithmetic; d = 1.5
Step-by-step explanation:
-4, -2.5, -1, 0.5, 2
Looking at the sequence, we can see that the numbers increase. This means our common ration or difference will be positive.
Let's look at common ratios first.
To find the common ratio, divide one term from the term after it.
r = a₂ ÷ a₁
r = -2.5 / -4
Divide.
r = 0.625
To see if this is the common ratio, we want to test this with the other numbers of the sequence.
r = a₃ ÷ a₂
r = -1 / -2.5
r = 0.4
This is not consistent; therefore our sequence is not geometric.
Let's look at common differences next.
To find the common ratio, subtract one term from the term after it.
r = a₂ - a₁
r = -2.5 - (-4)
Simplify.
r = -2.5 + 4
Add.
r = 1.5
To see if this is the common difference, we want to test this with the other numbers of the sequence.
r = a₃ - a₂
r = -1 - (-2.5)
Simplify.
r = -1 + 2.5
r = 1.5
This is consistent; therefore we have found our common difference of this arithmetic sequence.
A. Arithmetic; d = 1.5
Hope this helps!
hii please help i’ll give brainliest
find the 13th term of the geometric sequence 5,10,20,...
Answer:
5x13=?
Step-by-step explanation:
Answer:
20480
Step-by-step explanation:
HELPPP PLEASE
The graph shows the relationship between time
and the number of soda bottles a machine can
make. Use the points (4,160) and (8,320) to find
the number of soda bottles the machine can make
each minute
The machine can make __ soda bottles each minute.
Answer:
Step-by-step explanation:
1
make. Use the points (4,160) and (8,320) to findthe number of soda bottles the machine can makeeach minuteThe machine can make __ soda bottles each minute.Find the length of side a.
Answer:
C. 5
Step-by-step explanation:
Keeping in mind that this is a right triangle, to find the length of side a, we can use the Pythagorean Theorem.
Remember, the Pythagorean Theorem is:
a² + b² = c²
where a and b are the legs of the right triangle and c is the hypotenuse.
As we can see in the image, a is one of the two legs of the right triangle. 13 is the hypotenuse and 12 is another leg. Plugging into the Pythagorean Theorem, we get:
a² + 12² = 13²
Now we solve for a.
a² + 144 = 169
Subtract 144 from both sides.
a² = 169 - 144
a² = 25
Take the square root of both sides.
a = √25
a = 5
So the length of side a would be 5.
The answer would be C. 5.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer: C. 5
Step-by-step explanation:
We'll use the Pythagorean Theorem to find the missing side.
a^2 + b^2 = c^2
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
(simplify)
[tex]a^2 = \sqrt{25}[/tex]
a = 5
I put the picture attached
Answer:
120 square inches
Step-by-step explanation:
MP Model with Mathematics There was a big snowstorm overnight that dumped 12 inches of snow on Math Town. Luckily, it got a lot warmer, and 0.5 inch is melting each hour. The snow is now less than 5 inches deep. Write an inequality to determine how many hours have passed since the snow started melting.
Answer:
10 hours
Step-by-step explanation:
do 0.5 and add it until you get to 5. the number of times i added it was the answer
One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. There are 3.8 liters in one gallon.
Answer the questions below.
1. How much does one gallon of gas cost in Toronto? Round your answer to the nearest cent.
2. Is the cost of gas greater in Buffalo or in Toronto?
3. How much greater?
Answer:
The cost of one gallon of gas in Toronto, Canada is $3.458.
Solution:
Given, One gallon of gasoline in buffalo, New York costs $2.29.
In Toronto, Canada, one liter of gas costs $0.91.
There are 3.8 liters in one gallon.
We have to find how much does one gallon of gas cost in Toronto?
Now, cost of one gallon of gas in Toronto = cost of one litre of gas in Toronto x 3.8 liters for 1 gallon.
Cost of one gallon of gas = 0.91 x 3.8 = 3.458
Hence, the cost of one gallon of gas in Toronto, Canada is $3.458.
dome7w and 28 more users found this answer helpful
Step-by-step explanation:
2. Which polynomial has a leading coefficient of 5 and a degree of 4?
a. 3x5 - 4x6 + 2
b. 2x + 5x4 - 3x3
c. 6x + 4x5 - 2x2
d. 3x + x2 - 5x4
here is a list of ingredients to make biscuits
200g of butter
180g of caster sugar
400g of plain flour
20g of chocolate chips
Andrew only has 300g of plain flour.
How much of the other ingredients should he use?
Answer: 150 grams of butter
135 grams of caster sugar
15 grams chocolate chips
300 grams of flour
Step-by-step explanation:
if 300 grams equals 3/4 of 400 grams than all we have to do is get 3/4 of all the other ingredients.
can someone help me with this question thanks! : )
Answer:
C) [tex]x^7-x^6+2x^5-3x^4+4x^3+6x-3[/tex]
Step-by-step explanation:
[tex]x^3+2x-1(x^4-x^3+3)\\x^7-x^6+3x^3+2x^5-2x^4+6x-x^4+x^3-3\\x^7-x^6+2x^5-3x^4+4x^3+6x-3[/tex]
how many sec are in 1 year ?
Answer:
31536000 seconds
Step-by-step explanation:
The asnwer is 31536000 seconds.
Write an equation and slope intercept form of the line that passes through the given points
Answer:
y = 2x+5
Step-by-step explanation:
Plz help I am bad at this
Please I need help I’m sorry for bothering
Answer:
A
Step-by-step explanation:
Pls help me find the area
Answer:
27
Step-by-step explanation:
6x3=18, which means the bottom half of the shape is 18. The top half is a triangle, and triangles are half a square or rectangle. So again, 6x3=18. 18/2=9. So 18+9=27. So the ANSWER IS 27
The numbers 0.1, 12, 15 and 124 can all be classified as counting numbers?
Answer:
No
Step-by-step explanation:
Counting numbers are considered to be whole numbers greater than zero. Whole numbers are positive numbers without decimals or fractions, so 12, 15, and 124 can be classified as counting numbers, but not 0.1.
hope this helps!!!
in parallelogram ABCD, the length of BC=3x-1, CD=2x, and AD=x+5. Find the perimeter of ABCD
Answer:
Step-by-step explanation:
BC=AD
3x-1=x+5
3x-x=5+1
2x=6
x=3
BC=3×3-1=8
CD=2x=2×3=6
perimeter=2(8+6)=2(14)=28
please help me solve all of these if right ill give you brainly
6x + 10 = 1x
2a 5 = 3a
7a 5 = 2a
4a + 7 = 10 + a
8x + 3 = 2x
6x 3 = 18 + x
Answer:
1. =−2
2.
3.
4. a=1
5. x=-1/2
6. x=4.2
Step-by-step explanation:
72 in.= ______ yd.
yd.=yards
in.=inches
HOW MANY YARDS ARE IN 72 INCHES?
correct=brainliest
Answer:
2 yards
Step-by-step explanation:
1 yard = 3 feet
Answer:
2 yards
Step-by-step explanation:
8 1/3 times 4 1/5 = ?
Answer:
35
Step-by-step explanation:
I believe the answer is 35.
Step-by-step explanation:If I am incorrect please correct me but this is what I got. Also, you never told me if it's in simplified form or in any form it should be in. Hope this somewhat helped and have a good one!
✍(◔◡◔)A store pays $42.00 for a pair of shoes and marks the price up by 50%. What is the selling price? A $63.00 b $76.00 c $84.00 d $37.00
Answer:
63.00
Step-by-step explanation:
Increasing a price by 50% is like adding half of the original price to get an updated price. 42 times 50% or divided by 2 (Since it produces the same result) is 21 and 21 plus 42 is 63. 63 dollars is the correct answer which means the correct option is option A.
Answer: 84
Step-by-step explanation: do 42 dived by 50% gets you 84
The volume of the cylinder is 84 pi inches squared What can be concluded about the volume of the cone? Check all that apply.
The volume of the cone is One-third the volume of the cylinder.
The volume of the cylinder is 2 times the volume of the cone.
The volume of the cone is less than the volume of the cylinder.
The expression 84 pi over 3 finds the volume of the cone.
The expression 84 pi over 2 finds the volume of the cone.
The correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
What is the volume of cylinder?[tex]V=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
What is the volume of the cone?[tex]V=\pi\times r^2\times \frac{h}{3}[/tex]where 'r' is the radius of the base of the cone and 'h' is height of the cone
For given example,
The volume of the cylinder is 84 pi inches cubed.
Let [tex]V_1[/tex] represents the volume of the cylinder.
[tex]V_1=84~~cu.in.[/tex]
Using the formula of the volume of the cylinder,
[tex]V_1=\pi\times r^2\times h[/tex]
where 'r' is the radius of the base of the cylinder and 'h' is height of the cylinder
Let [tex]V_2[/tex] be the volume of the cone.
Assume that the base radius 'r' and height 'h' of the cone and the cylinder are equal.
Using the formula of the volume of the cone,
[tex]\Rightarrow V_2=\pi\times r^2\times \frac{h}{3}\\\\\Rightarrow V_2=\frac{1}{3}\times( \pi\times r^2\times h) \\\\\Rightarrow V_2=\frac{1}{3}\times V_1[/tex]
This means, the volume of the cone is One-third the volume of the cylinder.
[tex]\Rightarrow V2=\frac{1}{3}\times 84[/tex]
This means, the expression 84 pi over 3 finds the volume of the cone.
[tex]\Rightarrow V_2=28~~cu.in.\pi \\\\\Rightarrow V_2 < V_1[/tex]
This means, the volume of the cone is less than the volume of the cylinder.
Therefore, the correct statements about the volume of the cone are:
- The volume of the cone is One-third the volume of the cylinder.
- The expression 84 pi over 3 finds the volume of the cone.
- The volume of the cone is less than the volume of the cylinder.
Learn more about the volume of the cylinder and the volume of the cone here:
https://brainly.com/question/16007458
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Sansa shifted the parabola y = x^2 by 3 units to the right. Which of the following equations corresponds to the resulting graph?
А) y = x2 + 3
B) y = x2 + 9
C) y = x2 + 6x + 9
D)y = x2 - 6x + 9
Answer:
y = (x - 3)^2
Step-by-step explanation:
The original function is y = x^2. Its vertex is at (0, 0). Translating the graph h units to the right results in g(x) = (x - h)^2; h units to the left results in h(x) = (x + h)^2.
In this particular case we have y = x^2 and are translating the graph 3 units to the right. Thus, the original function y = x^2 becomes y = (x - 3)^2.
if you are in school for 178 days for 6 hours and 40 minutes how many hours and minutes would you be in school over all
Answer:
1139.2 hours
Step-by-step explanation:
6.40 x 178 = 1139.2
Yaritza and eddy race to school on their bikes. Yaritza bikes 2 miles in 12 minutes, eddy bikes 3 miles in 15 minutes. Who is going faster?
c. Tyler's brother earns $12 per hour. The store offers him a raise-a 5% increase per hour. After the
raise, how much will Tyler's brother make per hour?
Answer:
The answer is $12.60
Can you help me (There's a photo) you have to do grater then and = to
Answer:
Top left: > Top right: > Bottom left: < Bottom right: >
Step-by-step explanation:
Answer:
-0.25 > -0.3
9.999 > 9.975
3(5/8) < 30/8
10(2/3) < 61/6
if a parabola is horizontally translated 15 units left, stretch by a factor of 20, vertically translated down 30 units and reflected in the x axis determine the equation of the parabola in vertex form
Answer:
y' = a(x'- ((h-15)/20))² + -(k-30)
Step-by-step explanation:
Vertex: (h,k)
horizontally translated 15 units left: (h-15 , k)
stretch by a factor of 20: ((h-15)/20 , k)
vertically translated down 30 units: ((h-15)/20 , k-30)
reflected in the x axis: ((h-15)/20 , -(k-30))
Vertex' (h' , k'): ((h-15)/20 , -(k-30))
Equation: y' = a(x'-h')² + k'
y' = a(x'- ((h-15)/20))² + -(k-30)
Can someone plz help me
Answer:
Step-by-step explanation:
First, prove that triangle ABX is congruent to ACX.
By the reflexive property of Congruence AX=AX.
By SSS, triangle ABX is congruent to ACX.
By the CPCTC Theorem Angle BAX is equal to angle CAX.
By the definition of an angle, bisector AX bisects angle BAC
If this helped please consider giving brainliest.
What is the area of the shaded triangle