Answer:
A) - 39,991
Step-by-step explanation:
Sum of geometric sequence formula is
[tex]S = a(\frac{1 -r^n}{1-r} )\\a=-1, r=6/(-1)=-6, n=7\\\\S = -1(\frac{1 -(-6)^7}{1-(-6)} )= -\frac{279937}{7} = -39991[/tex]
Answer:
The correct answer option is A) -39,991.
Step-by-step explanation:
We know that the sum of the geometric sequence is given by the formula:
[tex] S _ n = \frac { a _ 1 ( 1 - r ^ n ) } { 1 - r } [/tex]
where [tex]a_1[/tex] is the first term, [tex]r[/tex] is the common ratio and [tex]n[/tex] is the number of terms.
Here,
[tex]a_1 = -1[/tex]
[tex]r = -6[/tex]
[tex]n=7[/tex]
Substituting these values in the above formula to get:
[tex] S _ 7 = \frac { -1 ( 1 - (-6) ^ 7 ) } { 1 - (-6) } [/tex]
S_n = -39,991
A number generator was used to simulate the percentage of students in a town who enjoy playing video games. The process simulates randomly selecting 100 students from the town and was repeated 20 times. The percentage of students who play video games is shown in the dot plot. Which statement is true about the student population of the town?
Answer:
Most likely, 60% to 75% of the students in the town play video games.
Step-by-step explanation:
Of the 20 samples taken, ...
1 is in the range 40%–50%4 are in the range 50%–60%18 are in the range 60%–75%1 is in the range 80%–90%Most of the samples fall in the range 60%–75%, so we have to conclude that it is most likely that the fraction of students who play video games is in that range.
Which of these numbers are irrational?
17
, 0,
8
,
22
7
,
81
,
14
A)
17
,
14
B)
8
,
14
C)
17
,
22
7
,
14
D)
17
,
8
,
14
Answer:
its A
Step-by-step explanation:
which of the following best describes the shape of the slice of pizza shown in the figure?
Answer:
Option D. A sector
Step-by-step explanation:
we know that
A circular sector is the portion of the circle enclosed by two radii and an arc
so
In this problem we have a slice of the pizza enclosed by two radii and an arc
therefore
The shape of the slice is a sector
Answer:
Option C is correct: A Sector
Step-by-step explanation:
A-p-e-x :)
What is the median of the following data set -1000, -999, 1998, ..., -1, 0, 1, ..., 998, 999, 1000
A. 1000
B. 1
C. 0
D. 2000
Answer:
The correct answer option is C. 0.
Step-by-step explanation:
We are given the following data set and we are to find its median value:
[tex] - 1 0 0 0 , - 9 9 9 , 1 9 9 8 , ... , -1 , 0 , 1 , ... , 9 9 8 , 9 9 9 , 1 0 0 0 [/tex]
Median is the middle value of a data set which divides it into to halves.
The data set we have starts from -1000 and goes till 1000 which means there are total 2001 elements in it.
Therefore, 0 will the middle value which is the median for this data set.
Answer:
C) 0
Step-by-step explanation:
Median is the middle value of a data set which divides it into to halves.
So then 0 will the middle value which is the median for this data set.
0 is the in the middle.
Which is the equation of the porabola with focus of (0,5) and directrix x= -5?
A) x^2 = -5y
B) x^2 = 5y
C)x^2 = 10y
D)x^2 = 20y
Please and thank you!
the answer is D) x^2 = 20y
Are the two triangles similar? If so, state the reason and the similarity statement.
A. Impossible to determine.
B. The triangles aren't similar.
C. Yes; SSS; ΔAYM ∼ ΔEDC
D. Yes; SAS; ΔAYM ∼ ΔEDC
Answer:
D. would be your answer
Step-by-step explanation:
Yes, the triangles ΔAYM ∼ ΔEDC by SSS criterion of similarity.
What is similarity of triangles?If the respective angles are congruent and the corresponding sides are proportional, two triangles are said to be similar.
What is SSS similarity of triangles?The two triangles are similar if the three sides of one triangle are proportional to the three sides of the other.
According to SSS criterion of similarity:
CE / AM = ED / AY = CD / MY
3 / 6 = 4 / 8 = 5 / 10
1/2 = 1/2 = 1/2
Hence ΔAYM and ΔEDC are similar by SSS criterion of similarity.
Learn more about similarity on:
https://brainly.com/question/14285697
#SPJ2
WILL GIVE BRAINLIEST
20 POINTS
Answer:
60
Step-by-step explanation:
If you do 25% + 6 * 10 , it gives you 62.5 and you round that and it's 60.
Answer:
60
Step-by-step explanation:
25% + 6 * 10
=62.5
round 62.5
=60.
Give brainliest plz :'D
The graph below represents which system of inequalities?
A) y ≤ −2x + 3
y ≤ x + 3
B) y ≥ −2x + 3
y ≥ x + 3
C) y ≤ −3x + 2
y ≤ −x + 2
D) y > −2x + 3
y > x + 3
Answer:
Step-by-step explanation:
Both lines have y-intersects y=3. So, it can be A,B or D
Both lines are solid, so it could be A, or B.
The colored areas are under the line, that means that signs will be ≤.
So, answer is A.
A polynomial function has a zero at 4 (multiplicity 3) and 0 (multiplicity 1)
write is standard and simplifed form
Answer:
Y=3x(x-4)
Step-by-step explanation:
what percent of 480 is 160?
Answer:
33.333...
Step-by-step explanation:
First of all we put the 160/480 and further divide each of which to be simplified by the simplified version
Then we must find the decimal which is 33.333 recurring.
If require further assistance ask me.
Hope this helps and enlightens your day. Enjoy
33.33
hope i helped
have a good day
Madeline had a pink dress , blue dress , and a yellow dress she has a black pair of shoes and a white pair of shoes how many outfits can she make
Answer: 6 outfits
Step-by-step explanation:
She can make 6 outfits out of the clothes given.
(p)=pink dress
(b)=blue dress
(y)=yellow dress
(bl)=black shoes
(w)=white shoes
p can combo with bl and w which makes 2 outfits
b can combo with bl and w which makes 2 outfits
y can combo with bl and w which makes 2 outfits
2+2+2=6 outfits
Please help me. I'm still trying to understand parabolas. Find the axis of symmetry of the parabola.
a. y = 0
b. y = –1
c. x = 0
d. x = –1
I think the answer is b. y= -1
Determine whether the function is periodic. If it is periodic, find the period.
f(x) = 3 sin 2x + 4 cos 3x
Answer
a) 2π
Step-by-step explanation:
We can easily solve this question by using a graphing calculator or any plotting tool, to check if it is periodic.
The function is
f(x) = 3*sin(2*x) + 4*cos(3*x)
Which can be seen in the picture below
We can notice that f(x) is periodic. It has periodic amplitudes, and the function has a period T = 6.283 ≈ 2π
The maximum and minimum values are
Max = 6.695
Min = -6.695
Carmen has saved 80% of the money she needs to buy a new video game if she has a 36 how much does the video game cost
The video game costs $45. Look at the image to see what I did
Two quantities, and are directly proportional. If were tripled, what would happen to ? CLEAR CHECK It would be multiplied by 6. It would be multiplied by 13 . It would depend on the starting value of . It would be tripled. NEXT Reference calculator formulas glossary CLOSE Language ENGLISH CLOSE
Answer:
you are correct
Step-by-step explanation:
p.s the way you worded this was confusing
Which transformations had to occur for the blue triangle to become the purple triangle? [Note: All rotations are about origin] A) rotated 180° then translated down 3 units and left 2 units B) reflected over x-axis and then rotated 90° clockwise C) translated down two units and rotated 90° counter-clockwise D) rotated 90° clockwise then translated down 3 units and left 2 units
Answer:
It's D.
Step-by-step explanation:
The figure is rotated 90 degrees clockwise then translated down 3 units and left 2 units.
The blue triangle becomes the purple triangle by rotating 90° clockwise then translated down 3 units and left 2 units, so, option D is correct.
What is translation?A shape is translated when it is moved to the left, right, up, or down without turning. Congruence is demonstrated by the fact that the translated shapes (or the image) seem to be the same size as the original ones. Simply said, they have changed their path or directions.
Given:
The blue triangle becomes the purple triangle in the graph,
All rotations are about the origin,
The Clockwise motion, also known as CW, moves from top to bottom, then down and left, and then back to top in the same manner as a clock's hands.
As you can see, The blue triangle is firstly rotated at 90° clockwise and then translated 3 units in the down y-axis and 2 units in the left x-axis.
To know more about translation:
https://brainly.com/question/17370215
#SPJ5
When solving the equation 3n^2 - 15n = 3 by completing the square what is your first step? Options are in the picture.
[tex]c. \: add \: 15n \: from \: each \: side.[/tex]
What is the sum of the first 30 terms of this arithmetic sequence?
6, 13, 20, 27, 34, …
Answer:
3225
Step-by-step explanation:
The sum to n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a + (n - 1)d ]
where a is the first term and d the common difference
here a = 6 and
d = 13 - 6 = 20 - 13 = 7, hence
[tex]S_{30}[/tex] = [tex]\frac{30}{2}[/tex][ (2 × 6) + (29 × 7) ]
= 15(12 + 203) = 15 × 215 = 3225
PLEASE HELP!!! NEED ANSWERS TO THESE QUESTIONS..
Answer:
12. Option A is correct
13. Option A is correct
14. Option C is correct
15. Option D is correct
16. Option A is correct
Step-by-step explanation:
12) Lowest Common Denominator of
[tex]\frac{p+3}{p^2+7p+10} \,\, and \,\, \frac{p+5}{p^2+5p+6}[/tex]
We should find the factors of denominators and then find the LCM of the denominators.Finding LCD is same as finding LCM.
Factors of p^2+7p+10 = p^2 +2p +5p+10 = p(p+2)+5(p+2) = (p+5)(p+2)
Factors of p^2+5p+6 = p^2+2p+3p+6 = p(p+2)+3(p+2) = (p+3) (p+2)
Now, rewriting the above equation with factors and finding the LCM
[tex]\frac{p+3}{(p+5)(p+2)} \,\, and \,\, \frac{p+5}{(p+3)(p+2)}\\[/tex]
LCM of (p+5)(p+2) and (p+3)(p+2) = (p+5)(p+3)(p+2)
The LCD is (p+5)(p+3)(p+2).
So, Option A is correct.
13. Divide
[tex]\frac{40x}{64y} \,\,by\,\, \frac{5x}{8y}[/tex]
by stands for division. The equation can be written as:
[tex]\frac{40x}{64y}\div\frac{5x}{8y}[/tex]
Division sign changed into multiplication, we take reciprocal of second term i.e,
[tex]\frac{40x}{64y}*\frac{8y}{5x}\\\\Solving\\\frac{40x*8y}{64y*5x}\\\\\frac{320xy}{320xy} \\\\1[/tex]
So, Option A is correct.
14. Simplify:
[tex]\frac{x+2}{x^2-6x-16} \div \frac{1}{9x} \\[/tex]
Factors of x^2-6x-16= x^2 -8x +2x -16 = x(x-8)+2(x-8) = (x-8)(x+2)
Putting factors in the above equation and changing division sign with multiplication we get,
[tex]\frac{x+2}{(x-8)(x+2)} * \frac{9x}{1}\\\frac{9x}{x-8}[/tex]
So, Option C is correct.
15. Simplify
[tex]\frac{4}{\frac{1}{4}-\frac{5}{2}}[/tex]
Solving denominator,
Taking LCM of 4 and 2 and subtracting we get
[tex]\frac{4}{\frac{1-(5*2)}{4}}\\\frac{4}{\frac{1-10}{4}}\\\frac{4}{\frac{-9}{4}}\\\frac{4*4}{-9}\\\frac{16}{-9} \,\,or\,\,\\\frac{-16}{9}[/tex]
Option D is correct.
16. Simplify:
[tex]\frac{7x+42}{x^2+13x+42}[/tex]
Making factors of x^2+13x+42= x^2 +6x+7x+42 = x(x+6)+7(x+6) = (x+7)(x+6)
Taking 7 common from numerator and putting factors in denominator we get,
[tex]\frac{7(x+6)}{(x+7)(x+6)}\\\\Cancelling\,\, x+6 \,\, from\,\, numerator \,\, and\,\, \\\\\frac{7}{(x+7)}[/tex]
Option A is correct.
If Social Security takes 6.2 percent and Medicare takes 1.45 percent of your paycheck, how much would you have left on a $475 monthly salary?
$448.67
$438.66
$428.65
$418.64
Answer:
$438.66
Step-by-step explanation:
The total percent taken is:
6.2% + 1.45% = 7.65%
7.65% of the paycheck is taken.
The total paycheck is 100% of the paycheck. Since 7.65% of the paycheck is taken, and 100% - 7.65% = 92.35%, then 92.35% of the paycheck is left.
Now we find 92.35% of $475.
To find a percent of a number, multiply the percent by the number and divide by 100.
92.35 * $475/100 = $438.66
Answer: $438.66
$438.66 , because 6.2+1.45=7.65 and then 100-7.65=92.35 and then you turn that into a percentage which would be 92.35% in decimal form would be .9235 which is the portion you’ll receive from your paycheck so you multiply that by $475 and you will get your final answer of $438.66
PLEASE HELP! TRYING TO FINISH MATH EARLY! PLEASE ACTUALLY ANSWER, AND NOT JUST TAKE THE POINTS! Thank You! ;3
(05.06 MC)
Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions:
y > −4x − 1
y is less than 3 over 2 times x minus 1
Part A: Describe the graph of the system, including shading and the types of lines graphed. Provide a description of the solution area.
Part B: Is the point (−1, −1) included in the solution area for the system? Justify your answer mathematically.
A) the graph is a linear and the slope is negative and positive .
B) (-1,-1) is not a solution because that point does not appear in the shaded region, therefore there is no solution.
:D
What is the ratio for the surface Areas of the rectangular prism’s shown below given that they are similar and that the ratio of the edge Lengths is 8:5
Answer:
[tex] \frac{ {8}^{2} }{ {5}^{2} } = \frac{64}{25} [/tex]
B) 64:25
Step-by-step explanation:
Ratio of Lengths = a/b
Ratio of Areas = a^2/b^2
Ratio of Volumes = a^3/b^3
The population of a town can be modeled by the regression equation y = 18,000(1.04x). Which is the best prediction for the population in year 30?
A. 39,440
B. 58,381
C. 68,298
D. 68,298
Answer:
Hence correct choice is B. 58,381
Step-by-step explanation:
Given equation is [tex]y=18000(1.04)^x[/tex].
There x represents number of years. We need to find about which is the best prediction for the population in year 30.
To find that we will plug x=30 into above formula and simplify
[tex]y=18000(1.04)^x[/tex]
[tex]y=18000(1.04)^{30}[/tex]
[tex]y=18000(3.24339751003)[/tex]
[tex]y=58381.1551805[/tex]
Which is approx 58381
Hence correct choice is B. 58,381.
Eli bought a jacket that was on sale at 40 percent off. The original price of the jacket was $60.00. How much did Eli pay?
Answer:
$36.00
Step-by-step explanation:
40% of 60 is 24. Subtract from the origanl amount, you get the price after sale, $36.00. Hope this helps :)
Rewrite The following expression.
Answer:
Choice A is correct
Step-by-step explanation:
We have been given the expression;
[tex]x^{\frac{9}{7} }[/tex]
In order to re-write this expression, we shall use some laws of exponents;
[tex]a^{\frac{b}{c} }=(a^{b})^{\frac{1}{c} }[/tex]
Using this law, the expression can be written as;
[tex](x^{9})^{\frac{1}{7}}[/tex]
The next thing we need to remember is that;
[tex]a^{\frac{1}{n} }=\sqrt[n]{a}[/tex]
Therefore, the expression becomes;
[tex]\sqrt[7]{x^{9} }[/tex]
Next,
[tex]x^{9}=x^{7}*x^{2}[/tex]
This implies that;
[tex]\sqrt[7]{x^{9} }=\sqrt[7]{x^{7}*x^{2}}\\=\sqrt[7]{x^{7} }*\sqrt[7]{x^{2} } \\=x\sqrt[7]{x^{2} }[/tex]
ANSWER
A.
[tex]x \sqrt[7]{{x}^{2} } .[/tex]
EXPLANATION
The given expression is
[tex] {x}^{ \frac{9}{7} } [/tex]
We want to rewrite the given expression in radical form:
Recall that:
[tex] {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } [/tex]
This implies that:
[tex] {x}^{ \frac{9}{7} } = \sqrt[7]{ {x}^{9} } [/tex]
[tex]{x}^{ \frac{9}{7} } = \sqrt[7]{ {x}^{7} \times {x}^{2} } [/tex]
Split the radicals.
[tex]{x}^{ \frac{9}{7} } = \sqrt[7]{ {x}^{7} } \times \sqrt[7]{{x}^{2} } [/tex]
This finally simplifies to:
[tex]{x}^{ \frac{9}{7} }=x \sqrt[7]{{x}^{2} } [/tex]
The correct answer is A.
the area of a rectangle is 75 square centimeters the rectangle is 5 centimeters wide how long is the rectangle
Answer: 15 cm
Step-by-step explanation:
The formula for calculate the area of a rectangle is:
[tex]A=l*w[/tex]
Where "l" is the lenght and "w" is the width.
You know that the area of this rectangle is 75 square centimeters and the width is 5 centimeters. Then, you can substitute these values into the formula [tex]A=l*w[/tex] and solve for the lenght. Then you get:
[tex]75cm^2=l(5cm)\\\\\frac{75cm^2}{5cm}=l\\\\l=15cm[/tex]
Therefore, the lenght of the rectangle is 15 centimeters.
Answer:
15 centimeters.
Step-by-step explanation:
To find the area of a rectangle, you have to multiply the length by the width.
In this case, the width is 5 centimeters.
So, so find the area, you would have to multiply 5 by the length. Let's call the length "x".
The equation to solve this problem would be:
5x - 75
Now we can solve the equation...
Divide both sides by 5...
5x / 5 = 75 / 5
x = 15
Since x is equal to 15, that means that the length is 15, because we said that the length is equal to x.
Length = x = 15
------------------
Hope this helped!
Write the quadratic function in the form f(x)=a(x-h)^2+k
Then, give the vertex of its graph.
f(x)=2x^2-20x+51
Answer:
hello : h =5 and K= 1
Step-by-step explanation:
look this solution :
As per the given quadratic function, the value of the vertex of the graph is written as (5, 1)
A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + bx + c, where a, b, and c are constants, and a ≠ 0. However, the given quadratic function is already expressed in the desired form, f(x) = a(x - h)² + k, which is known as vertex form. In this form, (h, k) represents the coordinates of the vertex of the parabola.
Now, let's rewrite the given quadratic function f(x) = 2x² - 20x + 51 in the vertex form. To achieve this, we'll complete the square:
Step 1: Factor out the leading coefficient 'a' from the x² and x terms. f(x) = 2(x² - 10x) + 51
Step 2: Complete the square inside the parentheses by adding and subtracting the square of half of the coefficient of the x-term (in this case, -10/2 = -5, and (-5)² = 25). f(x) = 2(x² - 10x + 25 - 25) + 51
Step 3: Group the perfect square trinomial and the constant term inside the parentheses. f(x) = 2((x - 5)² - 25) + 51
Step 4: Distribute the leading coefficient 'a' back into the parentheses. f(x) = 2(x - 5)² - 50 + 51
Step 5: Combine the constants. f(x) = 2(x - 5)² + 1
Now, the quadratic function is in the form f(x) = a(x - h)² + k, where a = 2, h = 5, and k = 1.
Therefore, the vertex of the parabola is (h, k) = (5, 1).
To know more about quadratic function here
https://brainly.com/question/18958913
#SPJ2
If the r-value or correlation coefficient of a data set is 0.827, what is the coefficient of determination to three decimal places?
A. 0.884
B. 0.627
C. 0.684
D. 0.827
Answer: Option C
[tex]r ^ 2 = 0.684[/tex]
Step-by-step explanation:
The correlation coefficient r is a measure of how strong the relationship between two variables x and y is.
If the value of r is positive then the correlation is positive and that implies that the variable x grows together with the variable y.
If the value of r is negative that means that the correlation is negative and that implies that when the variable x grows then the variable y decreases.
Then for a relationship, the coefficient of determination [tex]r ^ 2[/tex] is a measure of how well the model fit the data or how accurate the model is. While r is closer to 1, better is the precision of the model.
The coefficient of determination [tex]r ^ 2[/tex] for a linear relationship is calculated as the square of the correlation coefficient.
In this problem we have that the correlation coefficient r is
[tex]r = 0.827[/tex]
then the coefficient of determination is:
[tex]r ^ 2 = 0.827 ^ 2[/tex]
[tex]r ^ 2 = 0.684[/tex]
The answer is option C
The width of a photograph is 4 inches. Tori measures its width using the two rulers, both of which measure in inches.
Which statement is true about the accuracy and precision of the rulers?
A The measurement found using Ruler 1 is more accurate and more precise.
B The measurement found using Ruler 2 is more accurate and more precise.
C The measurement found using Ruler 1 is more accurate but less precise.
D The measurement found using Ruler 1 is more precise but less accurate.
Answer:
a
Step-by-step explanation:
plato answer
Answer:
B The measurement found using Ruler 2 is more accurate and more precise.
Step-by-step explanation:
We have to understand the concept here for accuracy and precision.
Accuracy is against some standard. So it is the measured value which is closely against a standard. Accuracy is less if the measured value is deviated from the standard.
Precision is about how closely individually measured values agree with each other. Precision doesn't concern with the standard value.
Now, third concept is significant numbers. It is up to how much decimal numbers an instrument can produce a result.
In ruler 2, you can see that there are more divisions for a whole inch. This means that the ruler 2 can measure more nearly to the standard value, as well as, for repeated measurements, it can give more precised figures due to the ability to read up to more decimal numbers after the decimal point.
Triangle ABC is similar to triangle DEF . The length of AC is 10 cm. The length of BC is 15 cm. The length of DF is 6 cm.
What is the length of EF?
12
6
10
9
Answer:
9 cm
Step-by-step explanation:
Side lengths of similar triangles are proportional. BC is 1.5 times the length of AC, so EF will be 1.5 times the length of DF:
1.5·6 cm = 9 cm