{{{ THE BOLDED CHARACTERS SHOULD BE SMALL. }}}
SEQUENCE: 6, 18, 54, 162
18/6 = 3
54/18 = 3
162/54 = 3
then, r (common ratio) = 3
_________________________________________
RECURSIVE RULE: r = 3
an = a(n - 1) × r [formula]
ANSWER: an = a(n - 1) × 3
_________________________________________
ITERIATIVE RULE: r = 3, a1 = 6
an = a1 × r^(n - 1) [formula] [ ^(n-1) is an exponent]
ANSWER: an = 6 × 3^(n - 1)
angle not necessarily drawn to scale
Answer:
pretty sure its 67
Step-by-step explanation:
straight line=180 and that one angle is a right angle
basically 90+23+x=180
x=67
The sides of the base of a right square pyramid are 5 centimeters, and the slant height is 8 centimeters. If the sides of the base and the slant height are each multiplied by 5, by what factor is the surface area multiplied?
A. 5 to 0
B. 5 to 1
C. 5 to 2
D. 5 to 3
Answer:
A
Step-by-step explanation:
The required surface area is multiplied by a factor of 25 or 5 to 2. Option C is correct.
What is surface area?The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.
Here,
The lateral surface area of a pyramid is given by the formula:
L = (1/2) * P * l
where P is the perimeter of the base and l is the slant height.
In this case, the perimeter of the base is 5 * 5 = 25 centimeters.
So the lateral surface area of the original pyramid is
L = (1/2) * 5 * 8 = 20 square centimeters.
Total area = 4[20] + 25 = 105
When the sides of the base and the slant height are each multiplied by 5, the new perimeter of the base is 5 * 5 * 5 = 125 centimeters and the new slant height is 8 * 5 = 40 centimeters.
So the lateral surface area of the new pyramid is
L = (1/2) * 25 * 40 = 500 square centimeters.
Total area = 4{500} + 125 = 2125
Therefore, the surface area is multiplied by a factor of 2125/105 = 25.
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The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet
Complete question :
The latter is leaning against the building so that the distance from the ground to the top of the ladder is 9 feet less than the length of the ladder finally put the ladder in the distance from the bottom of the ladder to the building 15 feet. Find length of the ladder.
Answer:
17
Step-by-step explanation:
From Pythagoras :
Hypotenus = sqrt(opposite² + adjacent²)
From the diagram
l = sqrt((l-9)² + 15²)
l² = (l² - 18x + 81 + 225)
Square both sides
l² = l² - 18x + 306
l² - l² = 306 - 18x
18l = 306
l = 306/18
l = 17
plz help me please please
Answer:
5%
Step-by-step explanation:
Answer:
5% increase
Step-by-step explanation:
30/600 equals .05 or 5%
One pump can fill a tank of water in 5 hours. A second tank can fill the same tank in 4 hours. If both pumps are used together, how long will it take to fill the tank?
4/5 hours
20/9 hours
9/20 hours
5/4 hours
Answer:
4/5 hours
Step-by-step explanation:
Answer:
20/9 hours
Step-by-step explanation:
I got it right on the quiz
A recipe calls for 1/3 of a cup of butter. If Matthew is making 1/4 of the recipe, how much butter should he use?
Answer:
1/12 a cup
Step-by-step explanation:
1/3*1/4=1/12
Answer:
1/12
Step-by-step explanation:
1/3*1/4=1/12
The average final exam score for the statistics course is 77% and the standard deviation is 8%. A professor wants to see if the average exam score will be higher for students who are given colored pens on the first day of class. The final exam scores for the 17 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78 What can be concluded at the 0.05 level of significance
Answer:
There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
Step-by-step explanation:
Given the data : 75, 78, 74, 89, 76, 92, 81, 87, 77, 79, 75, 81, 52, 80, 98, 72, 78
Using calculator :
Sample mean, xbar = 79.06
Sample standard deviation = 9.85
Sample size, n = 17
H0 : μ = 77
H1 : μ > 77
The test statistic : (xbar - μ) ÷ (s / sqrt(n))
(79.06 - 77) ÷ (9.85 / sqrt(17))
2.06 ÷ (9.85 / sqrt(17))
= 0.8623
The Pvalue from Tscore :
Pvalue = 0.20063
Since pvaue is > α ; we fail to reject the null ` There is not enough evidence to support the claim that average score for those given colored pen is greater than 77
150 is 75% of what number?
Answer:
200
Step-by-step explanation:
0.75X = 150
X = 200
so 200 is the answer
Answer:
200
150 is 75% of 200
Step-by-step explanation:
150 is 75% of what number
we can change this so it is simpler to understand.
150 = 75% of x
whenever it says "of" it is telling you to multiply
150 = 75% * x
now we simplify
150 = 75/100 * x
150 = 75x/100
*100 *100
15000 = 75x
/75 /75
200 = x
150 is 75% of 200
20 points for this!! thank you
Answer:
not a function becuz 2 repeats its self twice
Step-by-step explanation:
Answer:
You are welcome
Step-by-step explanation:
Look at the number line below. Tyhe number 2 is between 1 and 4 since 1 =1 and 4=2, that means that 2 must be between what two integers?
Answer: i dont know
Step-by-step explanation:
4 of 21 (4 complete)
HW Score: 16%, 4 of 25
X 11.2.33 Assigned Media
Question Help
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The results of a medical test show that of 39 people selected at random who were given the test, 36 tested negative and 3 tested positive. Determine the odds against
a person selected at random from these 39 people testing negative on the test.
Answer:
The odds against a person selected at random from these 39 people testing negative on the test is 92.31%.
Step-by-step explanation:
In the group of 39 randomly selected people:
# of people tested negative: 36
36 / 39 = 92.31%
A sphere has a radius of 9 feet. A second sphere has a radius of 6 feet. What is the difference of the volumes of the spheres? The volume of the larger sphere is π cubic feet greater than the volume of the smaller sphere.
Answer:
684 π
Step-by-step explanation:
volume of a sphere = (4/3) x (n) x (r^3)
n = 22/7
r = radius
volume of larger sphere
4/3 x n x 9³ = 972 n
4/3 x n x 6³ =288n
972n - 288n = 684n
2+2x+x2 but x=5 need help
Answer:
22
Step-by-step explanation:
Answer:
6x
Step-by-step explanation:
because i said so 2+2+2=6 and x=5 but two x=10
PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST
SHOW YOUR WORK!!!
Calculate the volume of the following three-dimensional object
How do you turn 5/2 into 10/4?
Answer:
YOU DO IT X 2
Step-by-step explanation:
Mark can make 9 pancakes in 15 minutes, and Charlotte can make 42 pancakes in 45 minutes. Working together, how many minutes would it take to make 138 pancakes?
Answer:
60 mins
Step-by-step explanation:
15+45=60
The time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction 1/4 can be described as 0.25.
As it is given that Mark can make 9 pancakes in 15 minutes, therefore, the number of pancakes that Mark can make in one minute,
[tex]\text{Number of Pancake in one minute} = \dfrac{9}{15}[/tex]
Now, for Charlotte, it is given that he makes 42 pancakes in 45 minutes, therefore, the number of pancakes that Charlotte can make in one minute,
[tex]\text{Number of Pancake in one minute} = \dfrac{42}{45} = \dfrac{12}{15}[/tex]
Further, the total pancakes that can be made in one minute,
[tex]\text{Total Number of Pancake in one minute} = \dfrac{9}{15} +\dfrac{12}{15} = \dfrac{21}{15}[/tex]
As they both need to make 138 pancakes together, therefore, the time they need is,
[tex]\rm Time\ Needed = \dfrac{\text{Total number of pancakes}}{\text{Total number of pancakes in one minute}}[/tex]
[tex]\rm Time\ Needed = \dfrac{138}{\frac{21}{15}} = \dfrac{138\times 15}{21} = 227.142[/tex]
Hence, the time needed to make 138 pancakes if both Mark and Charlotte work together is 227.142 minutes.
Learn more about Fraction:
https://brainly.com/question/1301963
How would I put this?
Answer:
10.35
Step-by-step explanation:
63,756 x 60 = 3825360
70 x 5,280 = 369600
3825360 ÷ 369600 = 10.35
Solve for the given time.
You buy a car for $15,000 and it depreciates at a rate of 4.3% per month. How much is the car worth after a year?
Answer:
8851.86
Step-by-step explanation:
100-4.3= 95.7%
15000(.957)^12
yeah i need help anyone?
Answer:
A
Step-by-step explanation:
A secant is a line that goes through a circle at two points.
Answer:
A
Step-by-step explanation:
a straight line that cuts a curve in two or more parts.
Help please I’ll mark brainiest
Answer:
V≈7853.98
Step-by-step explanation:
V=πr2h
r=10
h=25
Solution
V=πr2h=π·102·25≈7853.98163
state a,b, and the y-intercept then graph the function on a graphing calculator
Answer:
No x-intercepts
y-intercepts: (0,2)
Step-by-step explanation:
13. What is the positive solution to this equation? 4x2 + 18 x= 162
Answer:8.5 is x but there is an extra 1
Step-by-step explanation:18x8.5=153+8=162 with an extra one is 162
Find the total cost if the price of a netbook is 375.00.
Answer:
387.50.
Step-by-step explanation:
solve elimination method 3x+4y=0 and x - 2y =-5
Answer:
x=−2 and y=3/2
Step-by-step explanation:
see picture
Which graph corresponds to the table above?
Answer:
Graph B. is the one
Step-by-step explanation:
Can i have brainliest
Answer:
b is the right answer
Step-by-step explanation:
(x,y)
Function notation ? G (x)=x-3 ; find g(-6) .. how do I answer this?
Answer:
The value of g(-6) will be "-9".
Step-by-step explanation:
The given function is:
⇒ [tex]g(x)=x-3[/tex]
then,
⇒ [tex]g(-f)=?[/tex]
On putting the value "-6" at the place of "x", then we get
⇒ [tex]g(-6) = (-6)-3[/tex]
⇒ [tex]=-6-3[/tex]
⇒ [tex]=-9[/tex]
Thus the above is the correct solution.
Help me plzzz with rectangle
Answer:
26
Step-by-step explanation:
There are 96 children in a room.
40 of them are girls.
Find the fraction of the children that are boys.
Write your answer in its simplest form.
I will need it by this midnight
Answer:
7/12
Step-by-step explanation:
Basically to find the boys fraction I subtracted 40 from 96 and got 56. Your answer for the number of boys would be 56/96. I divided 4 from each and got 14/24. lastly I divide by 2 and got 7/12.
The figure is the net for a rectangular prism.
What is the surface area of the rectangular prism represented by the net?
PLS HELP!! I WILL GIVE BRAINLYIEST!!
Answer:
surface area = 544 cm²
Step-by-step explanation:
surface area = (16)(8 + 6 + 8 + 6) + (2)(8)(6) = 448 + 96 = 544 cm²
HELP MEEE
Review
Question 11 of 40
11 Which ordered pairs are solutions to the inequality graphed in the coordinate plane?
Select all that apply.
A(-3, -8)
B
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Answer:
this is hard to tell and sorry if I'm wrong but I would say it is only a
Step-by-step explanation:
Aanything in the shaded area is correct if it's not it's wrong
