A sequence starts with: 44, 176, 704, 2816... Calculate the next 4 terms. 0 SCH
Answers
Since the terms of the sequence are increasing with large magnitudes (with a multiplicative factor of 4), it appears to be a geometric sequence.
As such, we have the first term to be:
\(a=44\)and the common ratio is:
\(r=\frac{176}{44}=4\)Now, given that the nth term of a geometric sequence is given by:
\(T_n=ar^{n-1}\)Thus, the fifth term is:
\(\begin{gathered} T_5=ar^{n-1} \\ T_5=(44)\times(4)^{5-1} \\ T_5=(44)\times(4)^4 \\ T_5=(44)\times(256) \\ T_5=11264 \end{gathered}\)Also, the sixth term is:
\(undefined\)Related Questions
Mary Lou Mason purchased baby bottles for $4.56, baby formula for $12.45, and a pacifier for $2.13. For all purchases she must pay the state sales tax of 6.5 percent and the county tax of 1.5 percent. What is the tax on her purchases? Show all of your work.
Answers
Mary Lou Mason's total taxes on her purchase would be $1.37.
What are taxes?Taxes are mandatory payments to the government that are used to fund public services such as infrastructure, education, and health care. Taxes can be direct, such as income taxes, or indirect, such as sales taxes.
Mary Lou Mason's total purchase was $19.14.
To calculate the total taxes for her purchase, we can use the following formula:
Tax = (State Sales Tax %) x (Total Purchase) + (County Tax %) x (Total Purchase)
Therefore, the total taxes for Mary Lou Mason's purchase would be:
Tax = (6.5%) x ($19.14) + (1.5%) x ($19.14)
Tax = (0.065 x 19.14) + (0.015 x 19.14)
Tax = 1.24 + 0.13
Tax = $1.37
Mary Lou Mason's total taxes on her purchase would be $1.37.
For more questions related to Sales
https://brainly.com/question/24951536
#SPJ1
Please please look at the picture and answer the question thank you so much
Answers
Answer:
t = I/(Pr)
Step-by-step explanation:
We divide P*r on both sides to isolate t and we get t=I/(P*r)
provide at least one reason why you did not use the ruler to measure the field of view on medium- and high-power lenses.
Answers
a ruler is not the best tool to use to measure the field of view on medium- and high-power lenses.
Using a ruler to measure the field of view on medium- and high-power lenses would be difficult and inaccurate. This is because the magnification of the lenses changes the field of view, so a ruler would not be able to measure the field of view accurately at different magnifications. Additionally, a ruler is too small to measure the field of view accurately since it is usually measured in degrees. Therefore, Using a ruler to measure the field of view on medium- and high-power lenses is difficult and inaccurate. This is because the magnification of the lenses changes the field of view, and a ruler is not designed to measure this change. A ruler is also too small to measure the field of view accurately since it is usually measured in degrees. Therefore, using a ruler is not the most reliable tool for measuring field of view on medium- and high-power lenses. Instead, it is better to use a protractor or other specialized tools to accurately measure the field of view. Additionally, it is important to remember that the field of view changes with magnification and should be checked at different magnifications to get the most accurate measurement.
Learn more about field here
https://brainly.com/question/12747424
#SPJ4
Two numbers differ by 5. The sum of their squares is 193. Find the numbers.
Answers
Answer:
Let one number be x and the other be (x-5)
Step-by-step explanation:
x^2+(x-5)^2=193
x^2+x^2-10x+25=193
2x^2-10x+25=193
Subtract 193 from both sides of the equation.
2x^2-10x-168=0
x=12 or x=-7
x-5=7 or x-5=-12
Line parallel to the y-axis that passes through the point (77,88)
Answers
Answer:
A line which is parallel to the y-axis has form of x = a
This line passes (77, 88), then a = 77
=> The equation of this line: x = 77
Hope this helps!
:)
3.) Find the volume of a triangular prism with a length
of 5 units, a width of 6 units, and a height of 4 units.
Answers
Answer:
Volume V = 18.735 m3
Step-by-step explanation:
hope this helps
Suppose that a scarf company estimates that its monthly cost is
C(a)=500x2 + 300 and its monthly revenue is
R(x) = -0.523 +6002-200+300, where x is in thousands of
scarves sold. The profit is the difference between the revenue and the cost.
What is the profit function, P(x)?
Answers
The profit function is P(x) = -500.523x^2 + 600x - 200.
To find the profit function, P(x), we need to subtract the cost function, C(a), from the revenue function, R(x).
Given:
Cost function: C(a) = 500x^2 + 300
Revenue function: R(x) = -0.523x^2 + 600x - 200 + 300
Profit function, P(x), is obtained by subtracting the cost function from the revenue function:
P(x) = R(x) - C(a)
P(x) = (-0.523x^2 + 600x - 200 + 300) - (500x^2 + 300)
Simplifying the expression:
P(x) = -0.523x^2 + 600x - 200 + 300 - 500x^2 - 300
P(x) = -500x^2 - 0.523x^2 + 600x + 300 - 200 - 300
P(x) = -500x^2 - 0.523x^2 + 600x - 200
Combining like terms:
P(x) = (-500 - 0.523)x^2 + 600x - 200
Simplifying further:
P(x) = -500.523x^2 + 600x - 200
For more such questions on profit function
https://brainly.com/question/16866047
#SPJ8
Peter set off from Town A at 10 am, driving at an average speed of 84 km/h. He reached
Town B at 2 pm. If William set off 1 hour 25 minutes earlier than Peter and took the
same route at an average speed of 70 km/h, at what time would William reach Town B?
Answers
Peter left Town A around 10 a.m., traveling at an average speed of 84 km/h. William would reach Town B at 1:23 PM.
Firstly, we need to find the distance between Town A and Town B which can be calculated by calculating the distance travelled by Peter
Time taken by Peter = 2PM - 10AM
= 4 hrs
Speed of Peter = 84 km/h
Distance travelled by Peter = speed × time
= 84 × 4
= 336 km
So, the distance between Town A and Town B = distance travelled by Peter = 336 km.
Now, we will calculate time taken by William.
Speed of William = 70 km / hr
Distance travelled by William = distance between Town A and town B = 336 km
Time taken by William = distance / speed
= 336 / 70 hr
= 4.8 hr
This can b converted into hrs and minutes
4.8 hr = 4 hr + 0.8 × 60
= 4 hr 48 mins
Time William took off = 10 AM - 1hr 25 mins
= 8:35 AM
Now, we will calculate the time William would reach town B.
Time = 8:35 + 4hr 48 mins
= 1:23 PM
To know more about speed:
https://brainly.com/question/31756299
#SPJ1
Based on this theory, what distance will the handler move from the starting point to the return point if he creates an arc of a circle with radius 70 feet?
Group of answer choices
439.6 feet
3846.5 feet
109.9 feet
1758.4 feet
Answers
The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.
The formula to calculate the length of an arc is given by:
Length of arc = (θ/360) * 2πr
Where:
θ is the central angle of the arc (in degrees)
r is the radius of the circle
In this case, since the handler is creating a full circle, the central angle is 360 degrees.
Length of arc = (360/360) * 2π * 70
Length of arc = (1) * 2π * 70
Length of arc = 2π * 70
Length of arc = 140π
To find the approximate value in feet, we can use the approximation π ≈ 3.14159.
Length of arc ≈ 140 * 3.14159
Length of arc ≈ 439.8204 feet
Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.
For more questions on Distance .
https://brainly.com/question/30395212
#SPJ8
A coin is tossed six times and the sequence of heads and tails is recorded. Determine the number of outcomes of this activity.
Answers
There are 64 pοssibIe sequences οf heads and taiIs that cοuId be recοrded in this activity.
What is prοbabiIity?The prοbabiIity fοrmuIa can be used tο caIcuIate the IikeIihοοd οf an event by simpIy dividing the favοurabIe number οf pοssibiIities by the tοtaI number οf οptiοns. The IikeIihοοd οf an οccurrence might vary frοm 0 tο 1 because the favοurabIe number οf οutcοmes can never be greater than aII pοssibIe οutcοmes.
Each tοss οf the cοin has 2 pοssibIe οutcοmes (either heads οr taiIs). Since there are 6 tοsses, the tοtaI number οf οutcοmes is 2 x 2 x 2 x 2 x 2 x 2, which equaIs 64.
Therefοre, there are 64 pοssibIe sequences οf heads and taiIs that cοuId be recοrded in this activity.
Learn more about probability, by the following link.
brainly.com/question/24756209
#SPJ1
Which statement is true about the graphed function
Answers
help me please fast!!!!
Answers
Answer:
6: 15
Step-by-step explanation:
When finding the ratio of anything, you must count each side.
Students at Sunnyvale Middle School volunteered to work a 2-hour shift at a
car wash fundraiser. The table shows the number of people who worked each
shift and how many cars they washed.
Is the relationship between the number of
cars washed and the number of workers
proportional? Complete the statement.
The number of cars washed per person
?
of workers, so the relationship is
the same for each number
?
People Working
4
6
8
10
Cars Washed
8
12
20
25
Answers
The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.
What is a proportional relationship?A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.
The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:
y = kx.
The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.
The ratios between the output and the inputs are given as follows:
8/4 = 2.12/6 = 2.20/8 = 2.5.25/10 = 2.5.Different ratios, hence the relationship is not proportional.
A similar problem, also featuring proportional relationships, is presented at https://brainly.com/question/7723640
#SPJ1
What do you add to 4 4/9 to make 8
Answers
You need to add 3 5/9 to make 8. If you want to know what 4 4/9 goes to, to make 8, do the opposite which is subtracting. 8 turn to 7 9/9 and then subtract 4 4/9 and then you get the answer aka 3 5/9.
How do you convert f(-3) = 4, f(-2)=1 1 to slope intercept form?
Answers
Answer:
y = 7x + 25
Step-by-step explanation:
f(-3) = 4 .... means when x = -3 y = 4, line pass (-3 , 4)
f(-2) = 11 .... line pass (-2 , 11)
slope (m) = (11-4) / (-2 - -3) = 7
(y - 4) / (x - -3) = 7
y-4 = 7x + 21
y = 7x + 25
1: Mr. Farm is at his log cabin at (2,5). Describe the transformation Mr. Farm would take to get to his barn, but he has to stop by his wind mill first.
2: Mr. Farm finally made it to town so he could buy supplies. He is heading back home. How would you describe the transformation of his trip home? Describe transformation of his trip home. Be sure to explain what type of transformation it is and how does the transformation move.
3: Pick three of the four images. Write down the location and it's ordered pairs. (6 points total, 2 pts for each ordered pair).
Ex: School - (2,-8)
Answers
Answer:
um i dont know to be honest, but if i were you i'd just guess and hope for the best!!!
What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?
Answers
Answer:
17 units
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
Given two sides of a triangle, find a range of possible lengths for the third side.
4 cm, 17 cm
Answers
●
Jamie went out to her grandfather's farm.
Her grandfather has pigs and chickens on his farm.
She noticed that there were a total of 26 heads and
68 feet among them. How many chickens and how
many pigs did her grandfather have?
Answers
Answer:
8 pigs
Step-by-step explanation:
Since every animal has only 1 head, a total of 26 heads suggests that there are 26 animals in total.
Suppose all animals are chickens.
Total no. of feet = 26 chickens × 2 feet
= 52 feet
Difference in total no. of feet = 68 feet - 52 feet
= 16 feet
Difference in no. of feet each animal has
= 4 feet (a pig) - 2 feet (a chicken)
= 2 feet
∴ No. of pigs = 16 feet ÷ 2 feet
= 8 pigs
Please answer! i really need help, im failing. ;-;
*PICTURE BELOW*
Answers
Answer:
D
Step-by-step explanation:
the > symbol means that the arrow must point towards the right and that the circle must be hollow there the ans is D
Please show work thank you
Answers
Answer: 70 mph
Step-by-step explanation:
Anna is making 11 necklaces using 35 beads for each. How many beads (B) are needed to make all of the necklaces?
es
Answers
Step-by-step explanation:
11×35
11 necklaces and 35 beads per necklace
385
or 385 beads for all 11 necklaces
b=385
Find the height of the polygon
Answers
find the three dimensional shape
Answers
Answer:
Pentagonal Pyrimid
Step-by-step explanation:
Find the component form of v given its magnitude and the angle it makes with the positive x-axis. Magnitude Angle || V || = 2 v in the direction 3i + 4j Sketch v.
Answers
The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.
The magnitude of vector v is 2 and the angle it makes with the positive x-axis is given as θ = 3.
The component form of vector v can be found by using the following formula:
V = ||V|| (cosθi + sinθj)
Therefore, the component form of vector v is given by:
V = 2 (cos3i + sin3j)
We can calculate the components by substituting the values for ||v|| and θ in the above formula.
Therefore, the x component of vector v is given by:
Vx = 2 cos3
Vx = 1.86
The y component of vector v is given by:
Vy = 2 sin3
Vy = 3.42
Therefore, the component form of vector v is given by:
V = 1.86 i + 3.42 j
This can be represented graphically as shown in the figure.
The magnitude of the vector is shown by the length of the vector and the angle it makes with the positive x-axis is shown by the direction of the vector.
Learn more about magnitude of vector here:
https://brainly.com/question/24256726
#SPJ4
Use the figure below. Which angle is complementary to Angle EOD
Answers
Answer:
angle DOC
Step-by-step explanation:
An complementary angle is when you add 2 angles to equal 90 degrees, or a right angle
Answer:
Angle DOC
Complementary angle to Angle EOD means which angle will sum up with it to measure 90°
From the figure we can say,
Angle DOC +Angle EOD = 90°
A length of chain is to be constructed by placing 36 component links end to end. The length of a link produced by a production process is known to be a random variable with a mean of 2.5 cm with a standard deviation 0.2 cm. The 36 links are chosen at random from this process to produce the chain. The mean and standard deviation of the length of chain are, respectively _________.
a. 90 cm, 7.2 cm
b. 36 cm, 1.2 cm
c. 90 cm, 2.7 cm
d. 90 cm, 1.2 cm
e. 36 cm, 7.2 cm
Answers
Answer:
d. 90 cm, 1.2 cm
Step-by-step explanation:
Given that:
The sample size n = 36
For the length of the link:
The mean \(\overline x\) = 2.5
The standard deviation s = 0.2 cm
In a chosen 36 links, The mean and standard deviation for the length chain is as follows:
Mean = n\(\overline x\)
Mean = 36×2.5
Mean = 90 cm
The Standard deviation = s×√n
The Standard deviation = 0.2×√36
The Standard deviation = 0.2×6
The Standard deviation = 1.2 cm
for any three dimensional figure the sum of the areas of all its faces is its
Answers
Answer:
surface area
Step-by-step explanation:
What does ± indicate when its used like 2±1?
Answers
Answer:
it is in quadratic equation meaning you use Plus or minus
Answer:
I is both the plus and minus sign so and 2+1 and subtract 2-1 both answers are the answer
Step-by-step explanation:
The plus–minus sign, ±, is a mathematical symbol with multiple meanings. In mathematics, it generally indicates a choice of exactly two possible values, one of which is obtained through addition and the other through subtraction.
The sign may also represent an inclusive range of values that a reading might have.
Who is the most powerful undertale character
Answers
Answer:
Asriel Dreemurr
Step-by-step explanation:
Answer:
clearly the gay robot
hes my favorite <3