The recursive formula is; 1.02(an-1 + 15) a1=200 based on the question.
What is a recursive formula?The term recursive formula can be used to describe the derivation of a term in a sequence based on the previous term.
Given the information in the question, the recursive formula is; 1.02(an-1 + 15) a1=200.
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How to evaluate this question
Answer:
[tex] {2x}^{3} - 3yz[/tex]
x=-1; y=-2 and z=3[tex]2 {( - 1)}^{3} - 3( - 2)(3)[/tex]
[tex] - 2 +6(3)[/tex]
[tex] - 2 +18[/tex]
(-)+(+)=(-)
[tex]-16[/tex]
Write the quadratic equation in standard form:
-3x^2-16=−3x
Answer:
3x² - 3x + 16 = 0
Step-by-step explanation:
Standard form :
Ax² + Bx + C = 0Solving :
-3x² - 16 = -3x3x² - 3x + 16 = 0Standard form ax²+bx+c=0
-3x²+3x=16-3x²+3x-16=03x²-3x+16=0Done
Help me please help me
Answer:
m = -10.7
Step-by-step explanation:
m + 4.1 = -6.6
Subtract 4.1 from both sides:
m + 4.1 = -6.6
- 4.1 - 4.1
m = -10.7
Final answer: m = -10.7
Hope this helps!
A straight angle equals 180 degrees is true or false?
Answer:
True
Step-by-step explanation:
Straight angles are straight lines which equal 180 degrees
Answer:
true it is equals 180 for that angle
42, 53, 54, 55, 59, 59, 60, 63, 65, 67, 70, 71, 73
Mode=
A. 60
B. 59
C. 60.85
Reason:
The mode is the number that shows up the most.
In this case, it would be 59 because it shows up twice, which is the most compared to any other number (which only show up once).
Can someone please help me?
Answer:
m1= 63°m2=117°m3=63°Step-by-step explanation:
a straight line equals 180°. so if one side is 117°, the other side would have to add up to 180.
180-117=63
And you can kind on figure out what is the same as the other angles. Hope his helps
Solve for the variable:
-3-√5x² = 2
Answer:
No solution or Undefine
Step-by-step explanation:
Denver is growing at a rate of 1.8% per year and has a population of 700 thousand people. Write a recursive formula to represent the Denver scenario.
7000_1.8%=61.2%this is the answer
6. Find the surface area of the regular pyramid shown to the nearest whole number. The figure is (1 point)
not drawn to scale.
11 m
12 m
6√3
01,540 m²
0770 m²
0396 m²
0749 m²
Area of hexagon
6(1/2BH)3BH3(6√3)(12)216√3m²Now
area of upper 6 triangles
3BH3(11)(12)396m²Total area
396+216√3770.112m²770m²Answer:
770 m²
Step-by-step explanation:
The surface area of a regular pyramid comprises the area of the base (regular polygon) and the area of each of the slanted sides (triangles).
Apothem: The line segment from the center of the regular polygon to the midpoint of one of its sides.
Area of the base
The base of the prism is a regular polygon with 6 sides (hexagon).
[tex]\textsf{Area of a regular polygon}=\sf \dfrac{1}{2}nsa[/tex]
where:
n = number of sidess = side lengtha = apothemGiven:
n = 6s = 12 ma = 6√3Substitute the given values into the formula:
[tex]\begin{aligned}\implies \textsf{Base area}& =\sf \dfrac{1}{2}\cdot 6 \cdot 12 \cdot 6\sqrt{3}\\ & = \sf 216\sqrt{3}\:m^2\end{aligned}[/tex]
Area of one side
The sides of the regular pyramid are congruent triangles.
[tex]\textsf{Area of a triangle} = \sf \dfrac{1}{2} \times base \times height[/tex]
Given:
base = 12 mheight = 11 mSubstitute the given values into the formula:
[tex]\implies \textsf{Area of a triangle} = \sf \dfrac{1}{2} \times 12 \times 11=66\:m^2[/tex]
Total Surface Area
[tex]\begin{aligned}\implies \textsf{Total Surface Area} & = \sf base \: area + 6 \times side \: area\\& = \sf 216\sqrt{3}+6 \cdot 66\\& = \sf 216\sqrt{3}+396\\& = \sf 770\:m^2\:(nearest\:whole\:number)\end{aligned}[/tex]
F(3) = 2x - 4 help me please
Answer:
f(3) = 2
Step-by-step explanation:
Remark
The formula starts out as
f(x)= 2x - 4
So what is telling you is that were ever you see a variable on the right, it can from the x on the left.
If you change the variable on the left, you must also do it on the right.
f(3) = 2*3 -4
f(3) = 6-4
f(3) = 2
PLEASE HELP ILL MARK BRAINEST!!!
Answer:
0,5
Step-by-step explanation:
A refreshment company had declared that their soda drink is 250 oz. A group of students in CNHS wants to prove that the soda is less than advertised. They took 100 of such sodas in their study.
Answer:
200^2
Step-by-step explanation:
can someone help me w/t this
Answer:
72 cm²
Step-by-step explanation:
The shaded area is 1/4 of the rectangle, so the unshaded area is 3/4 of the rectangle--3 times the area that is shaded.
__
Unshaded area = 3 × 24 cm² = 72 cm²
The region that is not shaded has an area of 72 cm².
_____
You can mark the midpoint of MR as point S, and draw segment PS. That will divide the rectangle into 4 congruent triangles, one of which is shaded. The congruent triangles all have the same area, so the shaded area is 1/4 of the total area, and the unshaded area is 3 times the shaded area.
is the ordered pair (2,1) a solution for
[tex] y \leqslant \frac{3}{2} x + 3 \: show \: your \: work[/tex]
Answer:
put x= 2 and y = 1
and see this inequality will holds
Solve for the value of z :
5(z+4)+5(2-z)
[tex]\qquad\qquad\huge\underline{{\sf Answer}}[/tex]
Let's evaluate ~
[tex]\qquad \sf \dashrightarrow \: 5(z + 4) + 5(2 - z)[/tex]
[tex]\qquad \sf \dashrightarrow \: (5 \cdot z) + (5\cdot4) + (5\cdot2) - (5\cdot z)[/tex]
[tex]\qquad \sf \dashrightarrow \: 5z + 20 + 10 - 5z[/tex]
[tex]\qquad \sf \dashrightarrow \: 5z - 5z+ 20 + 10[/tex]
[tex]\qquad \sf \dashrightarrow \: 30[/tex]
So, the equivalent expression is 30
Answer:
30
Step-by-step explanation:
Let us divide the whole expression by 5. Then we must multiply the whole expression by 5 to obtain the same value as before.
Thus, we get the following expression:
[tex]\implies\huge\text{[}\dfrac{5(z+4)+5(2-z)}{5}\huge\text{]} \times 5[/tex]
[tex]\implies\huge\text{[}\dfrac{(z+4)+(2-z)}{1}\huge\text{]} \times 5[/tex]
Now, open the inner-most parentheses as the expression inside the inner-most parentheses, cannot be simplified further.
[tex]\implies\huge\text{[}\dfrac{z+4+2-z}{1}\huge\text{]} \times 5[/tex]
It should be noted that any number being subtracted from the same number is equivalent to 0. Therefore, we get the following expression:
[tex]\implies\huge\text{[}\dfrac{4+2}{1}\huge\text{]} \times 5[/tex]
Simplify the expression inside the long brackets.
[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5[/tex]
Now, we can open the long brackets and simplify the product of 6/1 and 5.
[tex]\implies\huge\text{[}\dfrac{6}{1}\huge\text{]} \times 5 = \dfrac{6 \times 5}{1} = \dfrac{30}{1} = 30[/tex]
Therefore, the simplified expression is 30.
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What are the values y = 3x
Answer:
when x=1
y= 3 × 1 = 3
when x=2
y= 3 × 2 = 6
when x=3
y= 3 × 3=9
i hope my answer was helpful and please mark me as brainliest
Which equation represents the relationship between the Cost in dollars, C, and the pounds of apples, a, bought?
Match each problem with its solution.
200
6
5
15
Jason is a party planner. In 124 packages, he has a total
of 1,860 balloons. If each package has the same number
of balloons, how many balloons are there in each package?
arrowRight
A plane has to travel 2,800 miles at an average speed of
560 miles per hour. How many hours will it take to reach
its destination?
arrowRight
An adult seal at a marine park consumes 2,400 kilograms
of food in one year. If it consumes the same amount of
food every month, how many kilograms of food does the
seal consume per month?
arrowRight
Andy and his roommates consume 180 bottles of orange
juice in 30 days. If they consume the same amount of
orange juice each day, how many bottles of orange juice
do they consume each day?
please let me know if you have an answer
The number of balloons on each package will be 15
How to calculate the problems?From the information, Jason is a party planner. In 124 packages, he has a total of 1,860 balloons and each package has the same number.
Therefore, the number of balloons on each package will be:
= 1860 / 124
= 15
When a plane has to travel 2,800 miles at an average speed of 560 miles per hour. The number of hours used will be:
= 2800/560
= 5
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A pizza has a diameter of 12in what is the Circumference
3. Determine the probability that a randomly selected person has a birthday on the 29th day of a month.
Answer:
0.0308.
Step-by-step explanation:
There are 11 months out of the year which have a 29th day except for a leap year when all 12 have it.
Required probability = number of '29th' days in 4 years / total days in 4 years
= (3*11 + 12) / (3*365 + 366)
= 45/1461
= 0.0308.
Diego wondered how far sixth-grade students could throw a ball. he decided to collect data to find out. he asked 10 friends to throw a ball as far as they could and measured the distance from the starting line to where the ball landed. the table shows the distances he recorded in feet.
40 76 40 63 47 57 49 55 50 53
find the median and iqr of the data set.
on a later day, he asked the same group of 10 friends to throw a ball again and collected another set of data. the median of the second data set is 49 feet, and the iqr is 6 feet.
did the 10 friends, as a group, perform better (or throw farther) in the second round compared to the first round? explain how you know.
were the distances in the second data set more variable or less variable compared to those in the first round? explain how you know.
The median of the number recorded in the question is 51.5 feet. This is obtained by dividing the sum of two numbers that occur centrally in half.
What is median?The central value in a list ordered from smallest to largest is the median of a set of values.
What is the Inter-quartile Range (IQR) of an observation?The formula for the Inter-quartile range is given as:
IQR = Q₃- Q₁ (that is Median of the Upper Half Less the Median of the lower half)
Step 1 - First, let's arrange the numbers sequentially
→ 40, 40, 47, 49, 50, 53, 55, 57, 63, 76
Step 2 - Determine the upper and lower halves and their median
If the Lower half is 40, 40, 47, 49, 50, then it's median is 47
If the Upper half is 53, 55, 57, 63, 76, then its median is 57.
Hence:
IQR = 57 - 47
= 10 feet.
Given that the median of the second data set is 49 feet, and the IQR is 6 feet. Did the 10 friends, as a group, perform better (or throw farther) in the second?No, the friends didn't perform better in the second round because the was a significant drop in the median and the IQR. The median dropped from 51.5 to 47 and the IQR from 10 to 6.
It can be concluded that the distance in the second set of data is less variable when juxtaposed with those form the first set.
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can someone give me the step by step for 10
x^2 = (16)^2 + (16)^2
x^2 = 256 + 256
x^2 = 512
x = 16√2
GIVING BRAINLIEST!!!!!
Answer:
segment AD is right one.
Answer:
Segment AD
Step-by-step explanation:
The only edge which lies on both planes and is shared by both is, Plane OAD and Plane BCD, is AD
Phillipa rode her bicycle every day over the weekend. Phillipa rode [ ( 13 . 5 + 8 . 5 ) ÷ 2 ] miles on Friday, [ 18 − ( 2 × 4 ) ] miles on Saturday and [ 20 − ( 5 − 3 ) ] miles on Sunday. On which day did Phillipa ride her bicycle the most? She rode her bicycle the most on .
Answer: Use pemdas to solve
Friday:
(13.5 + 18.5) ÷ 2
= 16
Saturday:
18 - (2 x 4)
= 10
Sunday:
20 - (5 - 3)
= 18
Step-by-step explanation:
Phillipa rode her bicycle the most on Sunday.
Hope this helps.
Melissa needs to make a total of 80 deliveries this week. so far she has completed 16 of them. what percentage of her total deliveries has melissa completed?
Help me i dont get this
Answer:
Step-by-step explanation:
88 / 184 ≈ 0.48
96 / 184 ≈ 0.52
104 / 166 ≈ 0.63
62 / 166 ≈ 0.37
Explain what the following statement means:
Polynomials are closed under the operations of addition and subtraction.
Provide one addition example and one subtraction example to demonstrate.
a set is closed under certain operation if the operation performed on two elements of the set gives an element of the same set
addition,subtractio sa well as multiplication of polynomials result into another polynomial.Therefore,the set of polynomials is closed under addition,subtraction and multiplication.
division of a polynomial need not be a polynomial (sometimes it is ,but not always).Therefore,the set of polynomials is not closed under division.see the example in the box beside.
Sample Response: If you add two polynomials, the sum is always a polynomial. Example: (2x2 + 3x) + (8x2 - 4x) = 10x2 - x If you subtract two polynomials, the difference is always a polynomial. Example: (2x2 + 3x) - (8x2 - 4x) = -6x2 + 7x
Compare your response to the sample response above. Did your response …
… explain what closure means for addition and give an example?
… explain what closure means for subtraction and give an example?
Polynomials are the algebraic expressions that consist of variables and coefficients.
How to explain the polynomial?
The Closure property of addition states that in a defined set, for example, the set of all positive numbers is closed with respect to addition since the sum obtained adding any 2 positive numbers is also a positive number which is a part of the same set.
Closure property of subtraction states that if any two real numbers a and b are subtracted from each other, the difference or result will be a real number as well. For example, 9 - 4 = 5.
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4 meters to 100 centimeters
Answer:
This is incorrect because 1 meter is 100 centimeters. But then when you keep going and when you get to 4 meters, you would get 400.
For example:
1 meter - 100 centimeters
2 meters - 200 centimeters
3 meters - 300 centimeters
4 meters - 400 centimeters
Hope this helps!
Awnser the Question For 10 Pts!
rest of awnser: d: she didnt make a mistake
Answer:
Jace did not make a mistake, because the answers are the same. Jace just did the problem in a unique way.
PLEASE HURRY (NEED ANSWER ASAP)
The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Let p and q represent the length of the diagonals.
Hence:
[tex]p=\sqrt{9^2+6^2+2(9)(6)cos(34)}=14.371\ units\\\\q=\sqrt{9^2+6^2-2(9)(6)cos(34)}=5.241\ units[/tex]
The length of the shorter diagonal is 5.241 units and the length of the longer diagonal is 14.371 units
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