Step-by-step explanation:
common ratio r = 98/140
first term a = 140
geometric sequence formula is an = ar^(n-1)
an = 98^(n-1)
where n is the number of terms in the sequence
g(r) r²6r 55 1) What are the zeros of the function? Write the smaller r first, and the larger r second. smaller r = larger r = 2) What is the vertex of the parabola?
Answer:
smaller r = -8
larger r = 2
vertex of the parabola
(-8,2)
Step-by-step explanation:
what is the answer to this?
Answer:
This is the answer:
330550=
A brochure from the department of public safety in a northern state recommends that motorists should carry 12 items (flashlights, blankets, and so forth) in their vehicles for emergency use while driving in winter. The following data give the number of items out of these 12 that were carried in their vehicles by 15 randomly selected motorists.
5.3 78 0 105 12 10 7 6 7 119
Find the mean, median, and mode for these data. Round your answers to two decimal places, where appropriate.
Mean items
Median items
Mode - items
Answer:
[tex]Mean = 6.07[/tex]
[tex]Median = 7[/tex]
[tex]Mode = 7[/tex]
Step-by-step explanation:
Given
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]n = 15[/tex]
Solving (a): The mean
Mean is calculated as:
[tex]Mean = \frac{\sum x}{n}[/tex]
This gives:
[tex]Mean = \frac{5+ 3+ 7+ 8+ 0+ 1+ 0+ 5+ 12+ 10+ 7+ 6+ 7+ 11+ 9}{15}[/tex]
[tex]Mean = \frac{91}{15}[/tex]
[tex]Mean = 6.07[/tex]
Solving (b): The median
Sort the data in ascending order:
[tex]Data: 5\ 3\ 7\ 8\ 0\ 1\ 0\ 5\ 12\ 10\ 7\ 6\ 7\ 11\ 9[/tex]
[tex]Sorted: 0\ 0\ 1\ 3\ 5\ 5\ 6\ 7\ 7\ 7\ 8\ 9\ 10\ 11\ 12[/tex]
The median is:
[tex]Median = \frac{n + 1}{2}th[/tex]
[tex]Median = \frac{15 + 1}{2}th[/tex]
[tex]Median = \frac{16}{2}th[/tex]
[tex]Median = 8th[/tex]
The 8th item on the sorted dataset is 7; So:
[tex]Median = 7[/tex]
Solving (c): The mode
[tex]Mode = 7[/tex]
Because it has a frequency of 3 (more than any other element of the dataset).
Can somebody please help in this question?
First find the area of one side.
The area of the side of a cube is s^2 where s is the length if one edge.
The edge length is given as 2/3, so the area of a side is 2/3^2 which is equal to 2/3 x 2/3 = 4/9 square units.
A cube has 6 sides so now to find the surface area of the cube multiply the area of one side by 6 sides:
4/9 square units x 6 = (4 x6)/9 = 24/9 which can be rewritten as 2 2/3 square units
The answer is 2 2/3 units^2
Shirts are 50% off. The original price of one shirt is $60. dollars, of two shirts, at the sale price, including a 10% sales tax
Answer:
I guess, you are asking how much two shirts are costing now.
the answer is $66
Step-by-step explanation:
sales tax is always calculated from the actual sales price (and never from a list price or so).
so, the discount is 50%.
=> a shirt now costs only $30 (instead of $60).
50/100*60 = $30
now, sales tax is calculated from these $30.
=> 10% of $30 is $3
10/100*30 = $3
therefore, a single shirt costs now $30+$3 = $33 incl. sales tax.
two shirts cost therefore 2 * $33 = $66
Peter was in a line. There were twice as many students in front of him as behind him. Students (more than 3 but fewer than 9) left the line but Peter did not. Then twice as many students were behind Peter as in front. How many students left the line?
Answer:
6 people left
Step-by-step explanation:
4 behind him 8 infront 6 left from infront leaving 4 behind 2 infront
Answer:
6 studentsExplanation:
x = the number of students in front of peter
y = the number of students behind peter
z = the number of students who left, for 3 < z < 9 ∴ z ∈ {4, 8}
system of equations:
x = 2y2(x-z) = y (assuming that the students who left were all among the students who are in front of peter)x = 2y ⇒ y = x/2 (defining y with x)
2(x-z) = y (lets substitute y)
2(x-z) = x/2
2x-2z = x/2
2(2x-2z) = x
4x-4z = x
4x-x = 4z
3x = 4z
if z = 6 (i pluged the numbers from 4 to 8)
then
3x = 4×6
3x = 24
x = 24/3
x = 8
∴ y = 4
8 students were in front of peter and 4 were behind him
6 left
now 2 students are in front of peter and 4 are behind him
8 is twice 4
8-6 = 2
4 is twice 2
Help please!!! Best answer will get brainliest!!!
g A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam. We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%. The test statistic is
Answer:
The test statistic is [tex]z = 1.25[/tex]
Step-by-step explanation:
We are interested in determining whether or not the proportion of the student who experience anxiety during the exam is significantly more than 80%.
At the null hypothesis, we test if the proportion is 80%, that is:
[tex]H_0: p = 0.8[/tex]
At the alternate hypothesis, we test if the proportion is more than 80%, that is:
[tex]H_a: p > 0.8[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
80% is tested at the null hypothesis:
This means that [tex]\mu = 0.8, \sigma = \sqrt{0.2*0.8} = 0.4[/tex]
A random sample of 100 students was taken. Eighty-five of the student in the sample experienced anxiety during the exam.
This means that [tex]n = 100, X = \frac{85}{100} = 0.85[/tex]
The test statistic is
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.85 - 0.8}{\frac{0.4}{\sqrt{10}}}[/tex]
[tex]z = 1.25[/tex]
The test statistic is [tex]z = 1.25[/tex]
Evaluate 9.3p + 8.7r when p=6 and r=7 .
Answer:
116.7
Step-by-step explanation:
Given: p = 6, r = 7
Plug in 6 for p, and 7 for r in the given expression:
9.3p + 8.7
9.3(6) + 8.7(7)
Remember to follow PEMDAS. PEMDAS is the order of operations, and stands for:
Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction.
First, multiply:
9.3 * 6 = 55.8
8.7 * 7 = 60.9
Next, add:
55.8 + 60.9 = 116.7
116.7 is your answer.
~
Answer:
9.3p + 8.7r when p=6 and r=7 .
substituting value
9.3*6+8.7*7
55.8+60.9
116.70is a required answer.
In a class test, Jumbo scored 20% more than Mambo and Mambo scored 10% less than Rambo. If Rambo scored 100 marks then what is the score of Jumbo?
Answer:
i didnt mean to answer this question
Step-by-step explanation:
The nth term of a sequence is given by 2n²+1.Write down the first four terms of the sequence.
Answer:
2(1)²−1= 1
2(2)²−1= 7
2(3)²−1= 17
2(4)²−1= 31
2(5)²−1= 49
Please mark as brainliest if answer is right
Have a great day, be safe and healthy
Thank u
XD
I just need some help with this problem I can show the other graph and pictures in the comments
Answer:
Please show the full picture so I can answer
Step-by-step explanation:
What is the slope of the line that passes through the points
(
9
,
4
)
(9,4) and
(
9
,
−
5
)
?
(9,−5)? Write your answer in simplest form.
We are given:
The line passes through the points (9,4) and (9,-5)
We know that:
Slope of a line = (change in y) / (change in x)
Finding the slope:
Change in x = final x - initial x
Change in x = 9 - 9 = 0
Slope of line = (change in y) / 0
because division by 0 is undefined:
Slope of the line is Undefined
We could've solved for the change in y but there's no reason to because no matter what's in the numerator, as long as the denominator is 0, the value is undefined
Solve for x.
17
6
15
Answer:
x = 11
Step-by-step explanation:
Use the Secant-Secant Product Theorem. This theorem states that if two secants intersect in the exterior of a circle, then the products of the lengths of one secant segment and its external segment equal the products of the lengths of the other secant segment and its external segment. \
Use formula : (whole*outside = whole*outside)
1. Formula
WO = WO
2. Substitute variables and setup equation
7(x+7) = 6(6+15)
3. Simplify and remove parentheses
7x+49 = 126
4. Isolate and solve for (x)
7x = 77
x = 11
Answer: 11
Given:
The figure of circle and two secants from an external point.
To find:
The value of x.
Solution:
According to intersecting secant theorem: If two secants (I and II) intersect each other outside the circle then
(I secant) × (external segment of I) = (II secant) × (external segment of II)
Using the intersecting secant theorem, we get
[tex]7(7+x)=6(6+15)[/tex]
[tex]49+7x=36+90[/tex]
[tex]7x=126-49[/tex]
[tex]7x=77[/tex]
Divide both sides by 7.
[tex]x=\dfrac{77}{7}[/tex]
[tex]x=11[/tex]
Therefore, the value of x is 11.
HELP ASAP! I will GIVE BRAINLY !! Need the whole answer please :(
Answer:
y = -1/2x + 1
Step-by-step explanation:
use 2 points to find slope, i used: (0,1) (4,-1)
m = 1-(-1) / 0-4
m = 2/-4
m = -1/2
as seen in graph, y-intercept is 1
∴ y = -1/2x + 1
Answer:
y=-2/4x+1
Step-by-step explanation:
the slope would be rise/run and y-intercept is wherever the line crosses the y-axis
Which is the graph of the system of equations?
2x - 3y = 12
4x - y = 8
YA
1
-
6
-21
The solution of the linear system is (1.2, -3.2). Then the correct option is A.
What is linear system?A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
The system of the equations is given below.
2x - 3y = 12 ..1
4x - y = 8 ..2
By solving the equations 1 and 2. Then we have
x = 1.2 and y = -3.2
Then the correct option is A.
The graph of the system of the equation is given below.
More about the linear system link is given below.
https://brainly.com/question/20379472
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Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel started rotating.
Required:
Write an expression (in terms of t) to represent the varying number of radians θ Ryan has swept out since the ride started.
Answer:
a) The expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].
b) The expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].
c) The expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].
Step-by-step explanation:
The statement is incomplete. Complete form is introduced below:
Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.
a) Write an expression (in terms of t) to represent the varying number of radians [tex]\theta[/tex] Ryan has swept out since the ride started.
b) Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.
c) Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.
a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position ([tex]\theta[/tex]), in radians:
[tex]\theta = \omega \cdot t[/tex] (1)
Where:
[tex]\omega[/tex] - Angular velocity, in radians per minute.
[tex]t[/tex] - Time, in second.
If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex], then the expression for the change in angular position is [tex]\theta = 5\cdot t[/tex].
b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:
[tex]H(t) = r \cdot \sin (\omega\cdot t)[/tex] (2)
Where:
[tex]r[/tex] - Radius of the Ferris wheel, in feet.
[tex]H(t)[/tex] - Height of Ryan with respect to the center of the Ferris wheel, in feet.
If we know that [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan regarding the center of the Ferris wheel is [tex]H(t) = 40\cdot \sin (5\cdot t)[/tex].
c) We use the following geometric expression to model Ryan's height above the ground:
[tex]H(t) = r\cdot \sin (\omega\cdot t) +h_{o}[/tex] (3)
Where [tex]h_{o}[/tex] is the height of the center of the Ferris wheel above the ground, in feet.
If we know that [tex]h_{o} = 47\,ft[/tex], [tex]\omega = 5\,\frac{rad}{min}[/tex] and [tex]r = 40\,ft[/tex], then the expression for the height of Ryan above the ground is [tex]H(t) = 40\cdot \sin (5\cdot t) + 47[/tex].
Describe how you can make the line of best fit. Write the approximate slope and y-intercept of the line of best fit. Show your work, including the points that you use to calculate the slope and y-intercept.
Answer:
Step-by-step explanation:it’s c
During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540
Answer:
500
Step-by-step explanation:
During one month, there were 2,000 people who used the advertiser links on a website. The percent of people who clicked on each
advertisement link is shown in the circle graph. Calculate the number of people who clicked on the link for each type of advertisement. How
many people used the Music link?
Advertiser Links
Computers
2396
Music
25%
TVS
3%
Movies
1796
Cell phones
32%
340
450
500
540
Then You Turn The Music Percent Into A Decimal Which Is .25% Then Times That By 2000 And You Get .25 X 2000 = 500
You are at the top of a lighthouse that is 500 ft tall. You look down towards the ocean and see a boat located 800 ft. from the shore.
a) What is the angle of depression from your position to the boat? Round to the nearest whole number.
b) If the boat travels away from the lighthouse an additional 1000 feet, what is the angle of depression from your position to the boat? Round to the nearest whole number.
C) By how many degrees did your line of sight change.
Answer:
a) 32° (nearest whole number)
b) 16° (nearest whole number)
c) 16.5° (1 d.p.)
Step-by-step explanation:
Please see the attached picture for the full solution.
which one is right please help
Mrs. Wigen conducted a survey in her math class. She asked each of her students to tell her how many pets they have at home. The dot plot below represents the results of Mrs. Wigen's math class survey. 12-----3 4:25 Number of pets at home Find the Measures of Center for the data: Mean Round to the nearest tenths place Median Mode
Answer:
4 : 25 to round off we have to see that
4 : 25 to round off we have to see that If in ones place it is more than 5 or not
4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place
4 : 25 to round off we have to see that If in ones place it is more than 5 or not if yes we will add to 1 no to tenths place Finally 4 : 25 it has 5 in its ones place
So the answer will be 4 : 30Choose A B C or D
State if the triangles in each pair are similar. If so, state how you
know they are similar
A) similar; SAS similarity
C) not similar
B) similar; SSS similarity
D) similar, AA similarity
Answer:
Option D
Step-by-step explanation:
From the picture attached,
m∠K ≅ m∠C [Given]
m∠L = m∠D [Given]
By AA property of similarity,
Both the triangles ΔDEC and ΔLMK are the similar triangles.
Option D will be the correct option.
Solve the inequality:
5x - 7 ≥ 3x + 9
Answer:
x≥8
Step-by-step explanation:
Answer:
x ≥ 8
Step-by-step explanation:
Subtract 3x from both sides:
2x - 7 ≥ 9
Then add 7 to both sides:
2x ≥ 16, or
x ≥ 8
Solve equation by using the quadratic formula.
6x² – 2x=8
Answer:
D
Step-by-step explanation:
The function graphed to the left is function. The curve has and continues infinitely in one direction. Each y-value is each corresponding x-value.
Answer:
1. A square root
2. one distinct endpoint
3. The square root of
on edg
have a nice day! :)
Step-by-step explanation:
1. The function graphed to the left is function. A square root
2. The curve has and continues infinitely in one direction.
one distinct endpoint
3. Each y-value is each corresponding x-value. the square root of
what is square root function?The principal square root function. (usually just referred to as the "square root function") is a function that maps the set of nonnegative real numbers onto itself.
1. A radical function contains a radical expression with the independent variable (usually x) in the radicand. Usually radical equations where the radical is a square root is called square root functions.
The graph shown is known as the graph for square root functions.
2. The curve has one distinct end point and continues infinitely in one direction.
3. The square root of each corresponding x-value.
Each value of y is the corresponding square root of x- values.
Learn more about this concept here:
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Suppose that your drawer contains 8 AAA batteries but only 6 of them are good. If you randomly select 4 batteries what is the probability all 4 will work ?
Answer:
Step-by-step explanation:
[tex]P=\frac{6}{8} \times\frac{5}{7} \times\frac{4}{6} \times\frac{3}{5} =\frac{3}{14}[/tex]
Step-by-step explanation:
the probability of the 4 batterys work was %30 because if you take randomly 4 battery you take good and bad batterys and the most probability is the 4 batterys don't work or the 4 batterys work or like 1 or 2 batterys work thats why like %30 the batterys work
Carson has a package to mail the package is 87 inches Long the shipping company only Mail Packages that are up to seven feet long can Carson mail the package show your work and add complete sentences to your answer. ASAP PLS
Answer:
Carson can't mail the package
The reasoning for why he can't mail it is because in every foot there is 12 inches and if u multiply 12 by 7 you get 84 meaning Carson's package is larger then 7ft
Packaging and Branding; Your Small Business Shipping Strategy; 5 Ways ... Download the complete in-depth, 16 chapter guide. ... USPS offers cubic pricing for Priority Mail shipments
Please mark me as brainlistfind any domain restrictions on f(g(x))
f(x)= square root x-3 and g(x)=x+5
Answer:
[tex]x \ge -2[/tex]
Step-by-step explanation:
The "argument" of a square root (the quantity you're finding the square root of) must be greater than or equal to 0.
[tex]f(x)=\sqrt{x-3}[/tex] requires [tex]x-3 \ge 0 \Rightarrow x \ge 3[/tex].
But in the function f(g(x)), the input to f is g(x) = x + 5, so x + 5 must be greater than or equal to 3.
[tex]x+5 \ge 3 \Rightarrow x\ge -2[/tex]
Composite functions can be confusing; one reason is the use of the same symbol, x to represent numbers from the domain of EACH function. See if it helps to call the domain of g by the name x, and the domain of f by some other name.
[tex]f(z)=\sqrt{z-3}\\g(x)=x+5\\f(g(x))=f(x+5)=\sqrt{(x+5)-3}=\sqrt{x+2}[/tex]
The square root will require [tex]x+2 \ge 0 \Rightarrow x \ge -2[/tex]
Work out the value of angle x
Answer:
Its an Isosceles triangle. The two bases are equal
So
x= 180-(62+62)
x=56°.
Answer:
x = 56
Step-by-step explanation:
As you can see two angles are congruent, as the two tally marks suggest so. Therefore not only does the left angle measure 62 but also the right angle does as well. Therefore, further indicating that we are dealing with an isosceles triangle in this scenario. So you would come up with the equation 62(2) + x = 180 because all the angles together add up to get you 180 degrees. So once you say 62 times 2 to get 124 you would subtract that by 180; giving you 56 degrees for x.