The combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.
What is geometric sequence?Geometric sequence is the sequence in which the next term is obtained by multiplying the previous term with the same number for the whole series.
It can be given as,
[tex]S=\dfrac{a(1-r^n)}{1-r}[/tex]
Here, [tex]a_1[/tex] is the first term of the sequence, n is the number of terms, and r is the common ratio.
The tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it.
The second doll is half of the first doll. Thus, the height of the second doll is,
[tex]a_2=\dfrac{1}{2}\\a_2=0.5\rm\;m[/tex]
Similarly, height of third doll,
[tex]a_3=\dfrac{0.5}{2}\\a_3=0.25\rm\;m[/tex]
Here, we see a pattern or sequence in the height of doll,
1,0.5,0.25......
For this series, the value of first term [tex]a_1[/tex] is 1, the number of dolls n is 8 and common ratio r is 0.5. Put the value in the above formula,
[tex]S=\dfrac{1(1-0.5^8)}{1-0.5}\\S=1.992\\S\approx 2\rm\; meters[/tex]
Thus, the combined height of the dolls when the tallest of a collection of wooden dolls stands 1 meter tall, and each successive doll is half as tall as the one before it is 2 meters.
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Need help fast !!!!!
What is the answer? Thank you, :)
Help pls!
[tex]\begin{bmatrix}5x+3y=7\\ 3x-5y=-23\end{bmatrix}[/tex]
Answer:
Soln:
5x+3y=7
(5x+3y)×5=7×5
25x+15y=35,eq.1
3x-5y=(-23)
(3x-5y)×3=-23×3
9x-15y=(-69)
Adding both equations,
25x+15y=35
9x-15y=(-69)
34x=(-34)
x=(-1)
5x+3y=7
(-5)+3y=7
3y=12
y=4
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Work out the size of angle x.
60°
xo
please help !!
Answer:
x = 60 degree
Step-by-step explanation:
x = 60 degree (being alternate angles )
Answer:
x = 60
Step-by-step explanation:
When two parallel lines are intersected by a transveral, the alternate interior angles are congruents.
x = 60
Please help!!
Find the value of x
A. 12
B. 6
C. 10
Answer:
A. x = 12
Step-by-step explanation:
By inscribed angle theorem:
[tex](9x + 2) \degree= \frac{1}{2} [360 \degree - (80 + 60) \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [360 \degree - 140 \degree] \\ \\ \implies \: (9x + 2) \degree= \frac{1}{2} [220 \degree] \\ \\ \implies \: (9x + 2) \degree= 110 \degree \\ \\ \implies \: 9x + 2= 110 \\ \\ \implies \: 9x= 110 - 2\\ \\ \implies \: 9x= 108 \\ \\ \implies \: x= \frac{108}{9} \\ \\ \implies \: \huge { \red{ \boxed{ x= 12}}}[/tex]
A self-selecting sample is Group of answer choices a good indicator of sample quality. not likely to be biased. guaranteed to be representative. not likely to be representative.
A self-selecting sample is not likely to be representative. The reason why a self-selecting sample is not likely representative would be discussed below.
What is self-selecting sample?A self-selection sample is determined by the individual that are used as data for the research. They are the ones that will determine the inclusion or exclusion of the sample units by either affirming or declining to participate.
The reason self-selecting sample is not likely to be representative is that it is too bias as the individuals that volunteered may not be able to satisfy the goals of the research.
Therefore, a self-selecting sample is not likely to be representative.
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A triangle has sides of lengths 12, 14, and 19. Is it a right triangle? Explain.
Answer:
yes it is The answer is C
Step-by-step explanation:
Measures of population density indicate how crowded
a place is by giving the approximate number of people
per square unit of area. In 2009, the population of
Puerto Rico was approximately 3.98 x 106 people, and
the population density was about 1000 people per
square mile.
What is the approximate area of Puerto Rico in square
miles? Write your answer in scientific notation.
I beg of you, please help out!
Using the formula for population density, it is found that the approximate area of Puerto Rico is of 3980 square miles.
What is the formula for population density?It is given by the number of habitants divided by the area, that is:
[tex]D = \frac{H}{A}[/tex]
In this problem, we have that:
Puerto Rico has a population of [tex]H = 3.98 \times 10^6[/tex].The density is of about 1000 people per square mile, that is, [tex]D = 10^3[/tex].Hence:
[tex]D = \frac{H}{A}[/tex]
[tex]10^3 = \frac{3.98 \times 10^6}{A}[/tex]
[tex]A = \frac{3.98 \times 10^6}{10^3}[/tex]
A = 3980.
The approximate area of Puerto Rico is of 3980 square miles.
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What is the value of x?
Answer:
x = 21
Step-by-step explanation:
We can first notice that this is a right triangle. Meaning that we can apply the pythagorean theorem when finding the missing side.
Pythagorean Theorem : a^2+b^2=c^2
But, we already have the hypotenuse, so we have to solve for the side being "b". a and b being the sides next to the right angle. And c being the hypotenuse. Plug in the values.
20^2 + b^2 = 29^2
400 + b^2 = 841
Subtract 400 from both sides to get b^2 alone
-400 -400
b^2 = 441
Square root of each side to get b by itself
b = 21
This means the missing side is 21. Also meaning 21 is x.
x = 21
Find the total surface area of the cylinder shown. Leave the answer in terms of π.
A cylinder with radius 7 centimeters and height 10 centimeters. SA=2πrh+2πr2
Answer:
TSA of a cylinder = 2*pi*r(r+h)
Pi=22/7
TSA=2*22/7*7(7+10)
TSA=748 sq.cm
Step-by-step explanation:
The surface area of the given cylinder is 238π square centimeters
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a cylinder with radius 7 centimeters and height 10 centimeters.
r = 7 cm
h = 10 cm
Surface area formula is 2πrh+2πr²
SA=2π×7×10 + 2π(7)²
=140π + 98π
=238π
Hence, the surface area of the given cylinder is 238π square centimeters
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Arrange the given polynomial in descending order.
3x+7x +1
Answer:
10x + 1
Step-by-step explanation:
First, combine any like terms. Then make sure to rewrite in descending order.
3x + 7x + 1 <== combine any like terms
10x + 1 <== arrange in descending order
Hope this helps!
Margot is sewing a ribbon on a seam along the perimeter of a square pillow. the side length of the pillow is 2x2 1 inches. she plans to make a similar pillow, including the ribbon, whose side length is 4x−7 inches. what expression can be used for the length of ribbon that she needs for both pillows, and what is the length if x = 3.5? 2x2 4x−6; 22.0 inches 2x2 4x−6; 32.5 inches 4(2x2 4x−6;) 88.0 inches 4(2x2 4x−6;) 130.0 inches
From the calculation, it is clear that the mathematical expression required for both pillows is given as: 4(2x2+4x−6;) 130.0 inches (Options D)
Recall side length is given as: 2x² + 1; and
The Ribbon's side length is: 4x -7.
To determine the length of ribbon required for the two pillows, we must state:
= 4 (2x² +1) + 4(4x-7)
Expanding the bracket since is common to both sides of the expression, we state:
= 4(2x² +1 + 4x -7).
Collecting like terms and resolving sums and differences, we have:
= 4(2x²+ 4x -6).
Step two
Recall that length is given as x = 3.5 therefore,
substituting x in the equation, we have:
4 (2 * 3.5²) + 4 ((3.5)-6)
= 130 Inches.
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create a real life scenario that could be modeled by the equation: y = 50 + 25x
Maybe something money-wise.
Jenny's subscription requires a 50$ desposit, as well as a monthly fee of 25$. How much will she have paid after x months?
A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
What is linear equation?Linear equations are equations of the first order. The linear equations are defined for lines in the coordinate system. When the equation has a homogeneous variable of degree 1 (i.e. only one variable), then it is known as a linear equation in one variable. A linear equation can have more than one variable.
Real life scenario for the given two variable equation : y = 50 + 25x
Thus, A person whose age is y years old is 50 years more than 25 times of his son's age, where son's age be x years.
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What is the surface area of the prism?
520 m²
Here given:
length: 10 m
width: 8 m
height: 10 m
surface area of rectangular prism:
2(lw+hw+hl)
2(10*8+10*8+10*10)
2(80+80+100)
2(260)
520 m²
Answer:
Surface Area = 520 m² ( Option C is correct )Step-by-step explanation:
In this question we are given a rectangular prism which having :
Length = 10 mWidth = 8 mHeight = 10 mAnd we are asking to find the surface area of prism . We know that ,
[tex] \blue{ \underline{ \boxed{ \sf{Surface \: Area_{(Rectangular \: Prism)} =2(lw + wh + hl )}}}}[/tex]
Where ,
l = Length of prismw = Width of prismh = Height of prismSolution : -
Now solving by substituting value of length, width and height in the formula . So ,
[tex] \longmapsto \quad \: 2( (10 \times 8 )+ (8 \times 10) + (10 \times 10))[/tex]
[tex] \longmapsto \quad \:2(80 + 80 + 100)[/tex]
[tex] \longmapsto \quad \:2(160 + 100)[/tex]
[tex] \longmapsto \quad \:2(260)[/tex]
[tex] \longmapsto \quad \: \underline{\boxed{\frak{520 \: m {}^{2} }}}[/tex]✦
Henceforth, surface area of given prism is 520 square metres which means option C is the correct answer .#Keep LeaningWhich did you include in your response? Check all that apply.
Use corresponding ordered pairs.
Divide the coordinates of the image by the pre-image.
Determine that the pre-image times the scale factor produces the image.
Answer:
It did not attach correctly try again and ill answer
Step-by-step explanation:
Post the attach picture or whatever goes with it
5 kids found $4. How much will each kid get if they share equally?
Answer:
$0.80
Step-by-step explanation:
We have to divide 4 by 5, because we are splitting the money equally among the 5 kids.
4 ÷ 5 = 0.8
Therefore, each kid gets $0.80
I hope this helps and please mark me as brainliest!
Answer:
0.80 cents
please make this answer brainliest If I helped you!
Step-by-step explanation:
each will get 0.80 cents because 0.80 times the 5 of them equally will equal 4 full $dollars
I need help please and thank you
My method is a little bit different, but I hope it helps..
Total angle=103°+103°=206°
Total area=π×17×17=289π≈368.1
Area of shaded region=(206/360)×368.1
=210.6 sq. meter
How to find the volume of a trapezoidal prism calculator?.
The fifth grade students participating in the math competition will be evenly divided into teams of 3 students each. How many students could be participating?
25
21
23
26
Answer:
21
Step-by-step explanation:
We know that the total number of students has to be divisible by 3. So to solve this specific problem, you can either use a guess and check system, prior knowledge, or by using a factoring method.
If we try to divide all four answer choices evenly by 3, only 21 leaves us with a whole number. Therefore, there could be 21 students participating.
25/3 = 8.33
21/3 = 7
23/3 = 7.667
26/3 = 8.667
Hey, guys this is a really long question and I am so lost and stuck, as well as confused on what to do. So, I've gotten my phone taken away many times in the past because my parents claim I am "texting too much"... They always gave it back to me after about a week, but a couple weeks ago, they took it away, saying that they would take it away forever until I am old enough to buy myself a phone with my own money. It's also not like I'm using my phone THAT MUCH, I'm in Middle School and I have a TON of things to get done giving me hardly any time to relax and call my friends or text them. I think they’re being extremely harsh about it and not fair. They also won’t budge if I try to convince them to let me have it back. I am convinced that they deleted my number so that I couldn’t “find my phone” for whatever reason and text people. All my calls from my friends' phones go to voicemail right away, texts don't ever go though. What should I do?
also i picked a random category which was math so.. :D
Answer:
Ask for it back nicely. Maybe make some offers that might persuade your parents to give your phone back (like chores). Also do nice things for them so that they want to help you more.
Step-by-step explanation:
It works for me most of the time.
10. A manufacturer wanted to know if more coupons would be redeemed if they were mailed to the
female in the household rather than the male in the household. A coupon book was sent at
random to either the male or female in a random sample of 50 male-female households. A
month later, a coupon book was sent to the other member of the pair. The manufacturer found
that the mean difference (female-male) in the number of coupons redeemed was 1.5 with a
standard deviation of 4.75.
Do these data provide convincing evidence that the mean number of coupons redeemed is
greater when the coupons were addressed to a female? Use a = 0.01.
а
Using the t-distribution, it is found that the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
What are the hypothesis tested?At the null hypothesis, it is tested if there is no difference, that is, the mean is of 0, hence:
[tex]H_0: \mu = 0[/tex]
At the alternative hypothesis, it is tested if the mean number is greater for females, that is, the mean is greater than 0, hence:
[tex]H_1: \mu > 0[/tex]
What is the test statistic?The test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
The parameters are:
[tex]\overline{x}[/tex] is the sample mean.[tex]\mu[/tex] is the value tested at the null hypothesis.s is the standard deviation of the sample.n is the sample size.In this problem, the parameters are given as follows:
[tex]\overline{x} = 1.5, \mu = 0, s = 4.75, n = 50[/tex].
Hence, the test statistic is given by:
[tex]t = \frac{\overline{x} - \mu}{\frac{s}{\sqrt{n}}}[/tex]
[tex]t = \frac{1.5 - 0}{\frac{4.75}{\sqrt{50}}}[/tex]
t = 2.23
What is the conclusion?Considering a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.01 and 50 - 1 = 49 df, the critical value is given by [tex]t^{\ast} = 2.4[/tex].
Since the test statistic is less than the critical value for the right-tailed test, the data does not provide convincing evidence that the mean number is greater when the coupons were addressed to a female.
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2x + 3y = 19 3x - 5y = -19 Whats the solution
Answer:
SSimplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.tep-by-step explanation:
Simplifying
2x + -3y = 19
Solving
2x + -3y = 19
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '3y' to each side of the equation.
2x + -3y + 3y = 19 + 3y
Combine like terms: -3y + 3y = 0
2x + 0 = 19 + 3y
2x = 19 + 3y
Divide each side by '2'.
x = 9.5 + 1.5y
Simplifying
x = 9.5 + 1.5y
PLEASE HELP. 85 POINTS AND WILL CHOOSE BRAINIEST FOR THE FIRST CORRECT ANSWER!!!!
You randomly survey students in your school about the color of their eyes. The results are shown in the tables.
What percent of students in the survey are either female or have green eyes?
About % are either female or have green eyes.
What percent of students in the survey are males who do not have green eyes? About % are males who do not have green eyes.
Find the sum of these two percentages. The sum of these two percents is %.
Answer:
% of students who are female or have green eyes: 51% or 45/88
% of students who are males without green eyes: 49% or 43/88
The sum of these two percentages: 100%
Step-by-step explanation:
Since there were 48 men surveyed and 40 women there were 88 students surveyed in total.
For the first part:
Since the students had to either be female, 40 students, or have green eyes, 5 male students, there would be a total or 45 students who were either female or had green eyes. Or 45/88 = 51%
For the second part:
Since the students had to be male and NOT have green eyes... take the total number of male students, 48 students, and subtract those with green eyes, 5 students, to get a total of 43 male students without green eyes. Or 43/88 = 49%
What is the completely factored form of p4 – 16? (p – 2)(p – 2)(p 2)(p 2) (p – 2)(p – 2)(p – 2)(p – 2) (p minus 2) (p 2) (p squared 2 p 4) (p minus 2) (p 2) (p squared 4)
The completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
What is polynomial?Polynomial equations is the expression in which the highest power of the unknown variable is n (n is a real number).
The polynomial equation given in the problem is,
[tex]p^4 - 16[/tex]
Let the factor form of the polynomial is f(p). Thus,
[tex]f(p)=p^4 - 16\\f(p)=p^4 - 2^4\\f(p)=(p^2)^2- (2^2)^2[/tex]
Using the formula of difference of squares, we get,
[tex]f(p)=(p^2-4)(p^2+4)\\f(p)=(p^2-2^2)(p^2+4)\\f(p)=(p-2)(p+2)(p^2+4)[/tex]
Thus, the completely factored form of the provided polynomial is (p -2) (p+ 2) (p² +4). The option 4 is the correct option.
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Answer:
D Edge 2022
Step-by-step explanation:
need help with question 7
Answer:
D. 7/8
Step-by-step explanation:
Answer:
D. 7/8. (has to be twenty characters long so here are some words )
7. John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The
fence is to be 15 feet from the edge of the pool.
The total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.
What is the perimeter of a rectangle?The measure of the boundary of the sides of a rectangle is called its perimeter. The perimeter of a rectangle is twice the sum of the sides of the rectangle.
[tex]P=2(a+b)[/tex]
Here, (l) is the length and (w) is the width of the rectangle.
John wants to build a fence around his pool. The pool is 22 feet long by 23 feet wide. The fence is to be 15 feet from the edge of the pool from all the sides.
Thus, add 15 two times in length and width for both side of pool. The length of the fence is,
[tex]l=23+15+15\\l=53[/tex]
The width of the fence is,
[tex]l=22+15+15\\l=52[/tex]
The perimeter of the fence is,
[tex]P=2(l+w)\\P=2(53+52)\\P=2(105)\\P=210\rm\; ft[/tex]
Thus, the total length of the fence which John wants to build a fence around his pool and 15 feet from the edge of the pool is 210 ft.
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6 / (1 / 9) = (6 / 1) = /9
-
O A. True
O B. False
Answer:
Step-by-step explanation:
6÷ 1/9 = 6/1 × 9/1 = 54
how would i find the volume
A 20-gallon container is filled halfway with a mixture that is $90\%$ vinegar and $10\%$ water. How many gallons of water must be added for the mixture to become $60\%$ vinegar and $40\%$ water
Answer:
5 gallons of water must be added.
10 gallons to start with
adding 'x' gallons of water final volume = 10 + x
.9 (10) = amount of vinegar
.1(10) = amount of water
amount of vinegar before and after water addition is constant
.9(10) = .6(10+x)
9 = 6 + .6x
3 = .6x
x = 5 gallons of water to be added
(i truly hope i helped you
help again pls✊ pls and ty
Answer:
The linear relationship between the length of someone's femur and their expected height..