Answer:
\(a_n=1.2 \cdot 2.5^{n-1}\)
Step-by-step explanation:
The first step is to realize that this is a geometric sequence, where each next term in the sequence is 2.5 times larger than the previous. You can confirm this by the fact that 3=1.2*2.5, 7.5=3*2.5, and 18.75=7.5*2.5. Now, you can write the formula, where n is where the number is in the sequence, and a is the number itself. Since 1.2 is the first term in the sequence and the rate of expansion is 2.5, the formula is:
\(a_n=1.2 \cdot 2.5^{n-1}\)
Hope this helps!
Answer:
f(x)=\(1.2(2.5)^{x-1}\)
Step-by-step explanation:
Elena has 80 trading cards in her collection. If 15%
of her cards are baseball cards, how many of Elena’s trading cards are baseball cards?
Answer:
12
Step-by-step explanation:
the answer is 12
Find the equation of a line in the slope-intercept form given the following information.
Answer:
Step-by-step explanation:
7x2=y
y=14
help sleepyhelp asap
Answer:
The one that has the number of meals in the side and the one that has number of days
Step-by-step explanation:
If it’s 3 meals a day u would want the one that says meals and days now if u look at the chart u can see that this one has 3 meals for one day which is the same as the equation she has
Hope this helps
Help me please! It’s due in like 10 minutes and I’m barely on the 8th question !!!
Answer:A
Step-by-step explanation:campbella helped
Answer:
A
Step-by-step explanation:
6(5-3x) -5(3x+2)
multiply each expression by the number outside the bracket
6×5=30,6×-3x=-18x -5×3x=-15x,-5×+2=-10
30-18x-15x-10
group the like terms
30-10-18x-15x
20-33x
whats the surface area?
Answer:
1108 in²
Step-by-step explanation:
You want the total surface area of the pentagonal prism shown.
Base areaThe area of each of the two pentagonal bases is the sum of the area of the yellow rectangle and the area of the triangle above it. That sum is ...
A = LW +1/2bh
A = 5(12) +1/2(12)(9) = 12(5 +9/2) = 114 . . . . square inches
Lateral areaThe lateral area of the prism is the sum of the areas of the 5 rectangles. That sum will be the product of the perimeter of the pentagonal base and the distance between bases.
LA = (12 +5 +11 +11 +5)(20) = (44)(20) = 880 . . . . square inches
Total areaThe total surface area of the figure is the sum of the two base areas and the lateral area:
SA = 2(114 in²) +880 in² = 1108 in²
The surface area of the composite figure is 1108 in².
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Question
Quality control finds on average that 0.045% of the items from a certain factory are defective. One month, 4500 items are checked.
How many items are expected to be defective?
Round your answer to the nearest whole number.
1 item
2 items
12 items
20 items
what is: 9+8*2-9+30*1100/2
Answer:
16516
Step-by-step explanation:
Using the graph, which characteristic about the function is NOT true?
Help ASAP, please!
Answer:
please give full question I can't understand it
Answer:
B
Step-by-step explanation:
I took the test
A farmer has decided to divide his land area in half in order to plant soy and corn. Calculate the area of the entire area so he knows how much soil is needed.
A parallelogram with a height of 6 yards and side length 9 yards. The height forms a triangle with the slanted side of the rhombus with a base of 2.5 yards. Rhombus is split into a soy half and a corn half.
Each bag of soil covers 20 square yards. How many bags should the farmer purchase?
1 bag
2 bags
3 bags
4 bags+
Answer:
2 bags
Step-by-step explanation:
the ratio of the number of oranges to apples to bananas is 8:5:2. if there are 120 fruits in total, how many bananas are there
Answer:
Step-by-step explanation:
To find the number of bananas, we need to determine the proportion of bananas in the total number of fruits based on the given ratio.
Let's assume that the ratio of oranges, apples, and bananas can be represented by 8x, 5x, and 2x, respectively, where x is a common multiplier.
The sum of the parts in the ratio is 8x + 5x + 2x = 15x.
We know that the total number of fruits is 120. Therefore, we can set up the following equation:
15x = 120
To solve for x, we divide both sides of the equation by 15:
x = 120 / 15
x = 8
Now that we know the value of x, we can find the number of bananas by multiplying it by the corresponding part of the ratio:
Number of bananas = 2x = 2 * 8 = 16
So, there are 16 bananas in total.
We can add all the parts to the ratio and get 15. Out of 15 parts, 2 are bananas. Now we can calculate how many fruits are in one part. One fifteenth of 120 is 8, so there are 8 fruits in one part. 2 parts are bananas, so multiplying 8 with 2 gives us our answer, 16.
When Pheobe asked her friends about their Thanksgiving, 35% of her 60 friends said they had pumpkin pie for dessert. How many friends had pumpkin pie for dessert?
im bad at algebra srry
Answer:
21
Step-by-step explanation:
I dunno, I used a calculator B)
Sue ran 7 miles more than Jill last week. Sue ran 11 miles. Which equation will tell you how many miles Jill ran?
Responses
A x − 7 = −11
B x − 7 = 11
C x + 7 = 11
D x + 7 = −11
ABC is a right triangle with vertices B (9, 4) and C (3, 9).
What are the coordinates of vertex A?
Enter your answers in the boxes.
Answer:
A (3, 4)
Step-by-step explanation:
A has to be positioned horizontally along B. This means its x coordinate is the same as x-coordinate of B which is 4
A also has to be positioned vertically below C. This means its y coordinate is the same as the y-coordinate of C. So y-coordinate of A is 3
So coordinates of A are (3, 4)
There are 50 members in the school Robotics Club. The Robotics Club needs to raise $5,000 for a trip to a national competition. The school agreed to contribute $1,000 toward the trip. How much money does each Robotic Club member needs to raise to help pay for the trip? (write numeric answer only)
Answer:
Each person needs to raise $80
Step-by-step explanation:
The club needs $5000 total for the tip, and they have already raised $1000, then they only need to raise $4000 more.
$4000 raised by 50 people can be calculated with:
\(\frac{4000}{50} = \frac{400}{5} = \frac{80}{1}\)
Each person needs to raise $80
Find the measure of each exterior angle of the polygon.
The measure of each exterior angle is what degrees
Each exterior angle is 120 degrees because all 3 equal up to 360 degrees
What are the angle measurements??
Which figure has exactly one line of symmetry? A rhombus, pentagon, rectangle and triangle are shown. A. Rhombus B. Pentagon C. Rectangle D. Triangle
Answer: The figure that has exactly one line of symmetry is B. Pentagon.
Step-by-step explanation: A line of symmetry is a line that divides a figure into two congruent halves that are mirror images of each other. A figure can have zero, one, or more lines of symmetry depending on its shape and orientation. To find the lines of symmetry of a figure, we can use a paper folding method or a reflection test. A paper folding method involves folding the figure along a line and checking if the two halves match up exactly. A reflection test involves reflecting the figure over a line and checking if the image coincides with the original figure.
Using either method, we can see that:
A. Rhombus has two lines of symmetry: one diagonal and one vertical.
C. Rectangle has two lines of symmetry: one horizontal and one vertical.
D. Triangle has either zero or three lines of symmetry depending on the type of triangle. An equilateral triangle has three lines of symmetry: one vertical and two bisecting the angles. An isosceles triangle has one line of symmetry: the perpendicular bisector of the base. A scalene triangle has no lines of symmetry.
B. Pentagon has either zero or five lines of symmetry depending on the type of pentagon. A regular pentagon has five lines of symmetry: each passing through a vertex and the midpoint of the opposite side. An irregular pentagon has no lines of symmetry.
Therefore, the only figure that has exactly one line of symmetry is B. Pentagon, but only if it is an isosceles pentagon.
Hope this helps, and have a great day! =)
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
Please awnser 4,5,8 its math btw
Which interval for the graphed function contains the
local minimum?
O [-1, 1]
O [1, 2]
OC-3, -1]
O [-5, -3]
PLS I REALLY NEED HELP THIS IS SO IMPORTANT I USED ALL MY POINTS FOR THIS PLS HELP ASAP!!!!!!The pictures are also questions.
5. Solve the following division problem. 0.288 ÷ 1.2 *
6. Solve the following division problem. 91.92 ÷ 6 *
7. Explain what to do when there is a decimal in your divisor. *
8. When you are dividing and you do not want a remainder, what do you need to do? *
Answer: the answer is 0.24 for question one and next is 15.32, next is when you have a decimal, then it makes then you always need to keep the decimal while doing the problem.
and it makes your answer longer so just do it like a regular math problem but add the decimal
Step-by-step explanation:
hope that helps maybe
Some students recorded how many minutes they spent on the phone in one day. They put the results in a Stem-and-Leaf Plot.
What is the mean number of minutes spent on the phone?
Explanation:
The data from the stem-and-leaf plot is:
10,
24,25,26,
30,30,32,33,
40,45,46
Add up those values
10+24+25+26+30+30+32+33+40+45+46 = 341
Then divide over n = 11 which is the sample size.
341/11 = 31 is the arithmetic mean.
Answer:
341/11 = 31 is the arithmetic mean.
Step-by-step explanation:
help me this one plssssssssssss
Answer:
The integer that describes the translation from B to B' is (-2,1)
help meh with this lol
month money help PLs
Answer:
second answer: y = 5x + 120; $180
Step-by-step explanation:
he starts with $120.
so, whatever else he does per month, there will always be the $120 starting amount to be added.
so, the third and the fourth answers are out.
then think : $5 every month.
that is how much after 2 months ? 2×5 = $10.
how much after 3 months ? 3×5 = $15.
so it has to be an equation that contains 5x (5 times the number of months).
combining both thoughts :
y = 5x + 120
now let's use x = 12 (for 12 months = 1 year).
5×12 + 120 = 60 + 120 = $180.
yes, it is that simple. no hidden "hocus pocus" is needed. just common sense.
In the middle school band, there are 5 flutes for every 2 tubas. Write the ratio of flutes to tubas in three different ways.
Answer:
2/5 ; 2 to 5; 2:5
5/2 ; 2 to 5; 2:5
5/2 ; 5 to 2; 5:2
2/5 ; 5 to 2; 5:2
Step-by-step explanation:
Elisa and Benjamin survey a random sample of 50 students at their school about which superpower they would most like to have. The table shows their data. a. Elisa claims that about 20% of the students at the school would choose mind reading as their superpower. Is this claim supported by the sample data? c. Benjamin claims that no students at the school would choose healing as a superpower. Is Benjamin's claim definitely correct? Why or why not?
Since 6 out of 50 students (or 12%) chose mind reading. This is lower than Elisa's claim of 20%, so her claim is not supported by the sample data.
How to known if the claim supported by the sample data?a. To determine whether Elisa's claim is supported by the sample data, we need to calculate the proportion of students in the sample who chose mind reading as their superpower. From the table, we can see that 6 out of 50 students (or 12%) chose mind reading. This is lower than Elisa's claim of 20%, so her claim is not supported by the sample data.
c. Benjamin's claim that no students at the school would choose healing as a superpower is not definitely correct. From the table, we can see that 4 out of 50 students (or 8%) chose healing as their superpower. While this is a relatively small proportion, it is not zero, so Benjamin's claim is not definitely correct.
However, we should be cautious in drawing conclusions about the larger population of all students at the school based on a small sample of only 50 students.
Learn more about claim here:https://brainly.com/question/29619194
#SPJ1
Graph each question
y = 2x + 0.5
y = 0.5x + 1
Answer:
y = 1.5
y = 4.5
Step-by-step explanation:
NAH FR HELP ME PLS IM JUST LEARNING THIS TODAY
ANSWER FAST PLZZZZZZZWhich expression can be used to find the value of the expression below?
the answer is c
hope this helps