Answer:
I think you mean: x^2 + 3x - 10, then
x^2 + 3x - 10
= x^2 + 5x - 2x - 10
=x(x + 5) - 2(x + 5)
=(x - 2)(x + 5)
Hope this helps!
:)
What is the surface area of the square pyramid?
A net has a square base with side lengths of 2, and 4 triangles with heights of 3.
square units:
9514 1404 393
Answer:
16 square units
Step-by-step explanation:
The area of the square base is ...
A = s²
A = 2² = 4
The area of each triangle is ...
A = (1/2)bh
A = (1/2)(2)(3) = 3
So, the area of the base and 4 triangles is ...
total area = 4 + 4(3) = 16 . . . square units
Answer:
its 16
Step-by-step explanation:
200,80, 32, ...
Find the 7th term.
Answer:
0.8192
Step-by-step explanation:
The pattern is dividing by 2.5 each time since:
200/80=2.5
80/32=2.5
So now:
1st term: 200
2nd term: 200/2.5=80
3rd term: 80/2.5=32
4th term: 32/2.5=12.8
5th term: 12.8/2.5=5.12
6th term: 5.12/2.5=2.048
7th term: 2.048/2.5=0.8192
Greg plans to purchase a bicycle. Bike A costs $270 and has an expected maintenance cost of $36 per year. Bike B costs $360 and has an expected maintenance cost of $20 per year. Which statement is true based on the average annual cost of each bike?
Answer:
Bike A costs $270 and has an expected maintenance cost of $36 per year."Bike A is the better choice if Greg plans on owning the bike for 5 years. Bike B is the better choice if Greg plans on owning the bike for 6 years."Step-by-step explanation:
270-36x
there are 5 years so x=5
270 + 36(5) = 270 + 180 = 450
If it were 6 years than x = 6
270 + 36(6) = 270 + 216 = 486
Bike B:
360 + 20x
For option b x = 5
360 + 20(5) = 360 + 100 = 460
for option b it would be 6 years than x = 6
360 + 20(6) = 360 + 120 = 480
Hope i helped!This cost function of purchasing a bike A
[tex]\to f1(x) = 270+ 36 x[/tex] ( The unit of x is a year)
A cost function for purchasing bike B:
[tex]\to f2(x) = 360+20x \\\\if \ \ f1(x)<f2(x)\\\\ \therefore\\\\ \to 270+36x-360+20x\ \ \ (transpose)\\\\\to 16x= 90 \\\\\to x=\frac{90}{16}=5.625\\\\[/tex]
If Greg plans to keep the bike for 5 years, Bike A is the superior option. If Greg plans to keep the bike for 6 years, Bike B is the superior option.
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The cost of 6 tennis balls in a sports store is $4.60. Wyatt bought 9 tennis balls from the store. What is the cost of 9 tennis balls?
Answer:
$6.90 is the cost of 9 tennis balls
Captain Nadia has a ship, the H.M.S Crimson Lynx. The ship is two furlongs from the dread pirate Tiffany and her merciless band of thieves.
If her ship hasn't already been hit, Captain Nadia has probability \dfrac{1}{2}
2
1
start fraction, 1, divided by, 2, end fraction of hitting the pirate ship. If her ship has been hit, Captain Nadia will always miss.
If her ship hasn't already been hit, dread pirate Tiffany has probability \dfrac{2}{7}
7
2
start fraction, 2, divided by, 7, end fraction of hitting the Captain's ship. If her ship has been hit, dread pirate Tiffany will always miss.
If the Captain and the pirate each shoot once, and the Captain shoots first, what is the probability that the Captain misses the pirate ship, but the pirate hits?
Answer:
Step-by-step explanation:
im confuesd here
A grid shows the positions of a subway stop and your house. The subway stop is located at (7,3) and your house is located at (4-5). What is
the distance, to the nearest unit, between your house and the subway stop?
Answer:
9 units
Step-by-step explanation:
In a coordinate plane with point P( x , y) and Q(a,b ).
distance between these are points is given by equation
distance between PQ = [tex]\sqrt{(x-a)^2 + (y-b)^2}[/tex].
Coordinate of subway stop = (7,3)
Coordinate of house = (4-5)
Therefore using the above the formula to calculate distance between
house and the subway stop is given by
distance = [tex]\sqrt{(7-4)^2 + (3-(-5)^2}\\\\=>\sqrt{(3)^2 + (3+5)^2}\\\\=>\sqrt{9 + (8)^2}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{9 + 64}\\\\=>\sqrt{73}\\\\=>8.544[/tex]
Therefore, distance between house and the subway stop is 8.544 units.
But it is given that distance should be to the nearest unit.
any decimal value greater than or equal to .5 is equivalent to 1 in nearest unit.
Thus, 8.544 units is equivalent to 9 units (in nearest unit)
A local charity organization held an event to celebrate its work for the past five years. A local newspaper reporter who attended the event asked 75 of the attendees about their contributions. The reporter computed the mean amount of money raised by the 75 attendees to be $18,500. In an article published by the local newspaper, the reporter was quoted as stating, "The members of the charity organization were successful in raising money for their cause. Last year, they raised a mean amount of $18,500!"
Part A: What is a statistical advantage of using the median of the reported amounts, rather than the mean, as the estimate of the typical amount raised? (4 points)
Part B: The newspaper editor felt the individuals who attended the event may be different from the organization as a whole. A more detailed survey of the members was planned to determine a better estimate of the amount of money raised. The staff developed two methods based on the available funds to carry out the survey.
Method 1: Send out an e-mail to all 10,530 members of the organization and ask them to complete an online form. The staff estimates at least 2,000 members will respond.
Method 2: Select a simple random sample of members of the organization and contact the selected members directly by phone. Follow up to ensure all responses are obtained. Because method 2 requires more time than method 1, the staff estimates that only 1,000 members of the organization can be contacted using method 2.
Which of the two methods would you select for estimating the average yearly amount raised by all 10,530 members of the charity organization? Explain your reasoning by comparing the two methods and by describing the effect of each method on the estimate.
Answer:
Part A. The statistical advantage of using the median is that the median is less effected by skewed data and outliers.
Part B. I would select method two because method one has a non-response bias and the sample individuals are not selected at random.
Step-by-step explanation:
Higher values pull averages up where medians just select the middle value and aren't necessarily pulled by outliers.
Non response biases happen when the individuals chosen choose not to answer or can volunteer to answer.
Sending out emails to everyone at the org is not choosing them at random.
A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.
Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization
What is a median?It is the middle value of the given set of numbers after arranging the given set of numbers in order.
We have,
Part A:
A statistical advantage of using the median instead of the mean as the estimate of the typical amount raised is that the median is less sensitive to extreme values or outliers.
In this case,
If there were a few attendees who contributed a very large amount of money, it would increase the mean and make it an overestimate of the typical amount raised.
However, the median would not be affected by the outliers, and it would give a better estimate of the typical amount raised by the majority of the attendees.
Part B:
Method 1 would be a better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization.
This is because it would have a larger sample size than method 2, which would make the estimate more precise and reduce the sampling error.
Additionally,
Method 1 would include a broader range of members, including those who may not have attended the event or who may have contributed in other ways besides donating money.
Method 2, on the other hand, would have a smaller sample size and would only include a random subset of the organization's members, which could lead to sampling bias if the selected members are not representative of the larger population.
Furthermore, the follow-up required by method 2 would make it more time-consuming and potentially less cost-effective than method 1.
Thus,
Method 1 would be the better choice for estimating the average yearly amount raised by all 10,530 members of the charity organization because it would have a larger sample size, include a broader range of members, and be more cost-effective than method 2.
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Parallelogram ABCD has a base measuring 4 cm and an area greater than 14 cm. Which inequality represents all possible
values of h, the height of the parallelogram?
(14)(4)
(14)(4) >
4h <14
4h> 14
Answer:
4h> 14\ cm^{2}
Step-by-step explanation:
Let
b -----> the base of parallelogram
h ----> the height of parallelogram
we know that
The area of parallelogram is equal to
so
substitute the value of b
---->inequality that represents all possible values of h
Answer:
D: 4h> 14
Step-by-step explanation:
which number is greater 5 or 1
Answer:
5
Step-by-step explanation:
5 is greater than 1 because it is further to the right from zero on the number line
Answer:
5 because 5 is a bigger number than 1.
Step-by-step explanation:
5 is bigger by for an example if you have 5 apples vs 1 apple.
5 apples is more right.
Kia is saving money to buy a Six Flags ticket. She worked for 6 hours at the library and earns the same amount each hour. Her grandmother then gave her $20. In all,she has $53.
Answer:
She earns 5.5 dollars per hour at the library
Step-by-step explanation:
I am going to assume that the questions is "how much she earns per hour at the library?"
Let's call x the amount of dollars earn by hour at the library. We know that she worked for 6 hours, thus she made 6x dollars.
Later her grandma gave her 20 dollars and she has now 53 dollars.
Let's write the equation and solve it
Amount earned + Amount given by her grandma = 53
[tex]6x+20=53\\6x=33\\x=\frac{33}{6}\\x=5.5[/tex]
Thus, based on this information we would have that Kia earns 5.5 dollars per hour.
Graph f(x) =
x and g(x) = -1/3x+2
on the same coordinate plane.
Unit 5. 2) Please help. If a triangular prism and a cylinder have the same height and the same volume, what must be true about their bases?
Answer:
If a triangular prism and a cylinder have the same height and the same volume, then the area of bases must be equal.
=> Option A is correct
Step-by-step explanation:
Because they share the same formula to calculate V = Base area x Height
V and Height are same, then Base areas are same.
Hope this helps!
:)
If a triangular prism and a cylinder have the same height and the same volume, then their bases have the same area is true statement.
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.
If a triangular prism and a cylinder have the same height and the same volume, then their bases must have the same area.
This can be explained using the formula for the volume of a prism, which is equal to the area of the base times the height.
Since the height of both shapes is the same, the volume of the shapes is proportional to the area of their bases.
If the volume is the same for both shapes, then their bases must have the same area.
Therefore, their bases have the same area is the true statement among the given statements.
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A cow can give 5 gallons of milk if it eats 2 pounds of grass. Express x in terms of y, where y is the number of gallons of milk the cow gives, and x is the number of pounds of grass it eats.
Answer:y=2.5 x
Step-by-step explanation:
Given
Cow give 5 gallon of milk if it eats 2 pound of grass
i.e. it gives 2.5 gallon of milk if it eats 1 pound of grass
So we can say cow given 2.5 times of milk in gallon for each pound it eats
If cow eats x pounds of grass then it must yield 2.5 times of milk
Suppose milk is denoted by y
therefore we can write
y=2.5 x
Therefore y=2.5 x represent the relation between grass and milk produced
What is this answer?
Answer:
(4,-1)
Step-by-step explanation:
Mai's younger brother tells her that 10/7 equal to 2‾√ 2 2‾√ 2 . Mai knows this can't be right, because 10/7 is rational and 2‾√ 2 2‾√ 2 is irrational. Write an explanation that Mai could use to convince her brother that 10/7 cannot be the square root of 2.
Answer:
The number 10/7 is a rational number, which means it can be expressed as a fraction. Also, if we divide it would give a decimal infinite periodical number, which means it has a pattern on its decimal numbers.
On the other hand, the square root of 2 is irrational number, that means it can't be expressed as a fraction, because its decimal numbers don't have any pattern at all.
So, Mai's brother can see these type of numbers as crazy (irrational numbers) and sane (rational numbers).
At last, another important characteristic to shows that they aren't equal is that they don't have the exactly decimal numbers.
-8x+2y=12 in slope intercept form
Answer:
y= -4x + 3
Step-by-step explanation:
Answer:
y = 4x + 6
Step-by-step explanation:
Rag the operation signs to make the equation true. An operation may be used once. More than once, or not at all × returned to choices list. +−×÷ 12 ( 7 − 4 ) + 5 3 = 19
Answer:
12/(7-4) + 5 * 3 = 19
Step-by-step explanation:
Given
Untrue Expression: 12 ( 7 − 4 ) + 5 3 = 19
Signs: +−×÷
Required
Use the given signs to make the equation true.
To solve this, the trial and error method will be adopted.
The trial and error method involves trying series of sign combinations in the given expression; whichever works is the right answer.
So, after few attempts the following makes the equation true
12/(7-4) + 5 * 3 = 19
To check if it's true or not; we simply expand the expression on the left hand side. This gives
12/3 + 5 * 3 = 19
4 + 5 * 3 = 19
4 + 15 = 19
19 = 19.
Hence, the sign combinations used in 12/(7-4) + 5 * 3 = 19 is correct.
In the right shown m
Answer:
Please clarify your question
Step-by-step explanation:
Brian invests £2300 into his bank account. He receives 10% per year simple interest. How much will Brian have after 2 years?
Answer:
im pretty sure $460 idk
Step-by-step explanation:
Find an interest by using the formula
I=P⋅i⋅t
, where I is interest, P is total principal, i is rate of interest per year, and t is total time in years. In this
P = $2300, i = 10% and t = 2 years,
The table shows the estimated number of bees, y, in a hive x days after a pesticide is released near the hive.
A 2-column table with 6 rows. The first column is labeled number of days with entries 0, 10, 20, 30, 40, 50. The second column is labeled estimated number of bees with entries 10,000; 7,500; 5,600; 4,200; 3,200; 2,400.
Which function best models the data?
y = 9,958(0.972)x
y = 0.972(9,958)x
y = 9,219x– 150
y = –150x + 9,219
Answer:
A.Step-by-step explanation:
The given table is
Days Bees
0 10,000
10 7,500
20 5,600
30 4,200
40 3,200
50 2,400
Where [tex]x[/tex] represents days and [tex]y[/tex] represents bees.
The exponential function that models this problem must be like
[tex]y=a(1-r)^{x}[/tex], which represenst an exponential decary, because in this case, the number of bees decays.
We nned to use one points, to find the rate of decay. We know that [tex]a=10,000[/tex], because it starts with 10,000 bees.
Let's use the points (10, 7500)
[tex]y=a(1-r)^{x}\\7500=10000(1-r)^{10}[/tex]
Solving for [tex]r[/tex], we have
[tex]\frac{7500}{10000}=(1-r)^{10} \\(1-r)^{10} =0.75[/tex]
Using logarithms, we have
[tex]ln((1-r)^{10}) =ln(0.75)\\10 \times ln(1-r)=ln(0.75)\\ln(1-r)=\frac{ln(0.75)}{10} \approx -0.03\\e^{ln(1-r)}=e^{-0.03}\\1-r =e^{-0.03}\\r=-e^{-0.03}+1 \approx 1.97[/tex]
Replacing all values in the model, we have
[tex]y=10000(1-1.97)^{x}\\y=10000(0.97)^{x}[/tex]
Therefore, the right answer is the first choice, that's the best approximation to this situation.
Answer:
A. y = 9,958(0.972)x
Step-by-step explanation:
A circular rug has the radius of 4 feet. Which of the following is closest to the number of square inches the rug covers.
A. 55.26 ft2
B. 50.24 ft2
C. 29.7 ft2
D. 33.6 ft2
Answer:
B. 50.24ft
Step-by-step explanation:
A=(pie)r^2
A=3.14(4)^2
A=3.14 * 16
A=50.27
Closest to 50.24
what is a unit rate?
Answer:
A unit rate is like a calculator or price per unit. that you will have to divide the numerator by the denominator.
Step-by-step explanation:
Example: "A motorcycle travels 230 miles on 4 gallons of gasoline." basically you will have to find the average mileage per gallon of how much that motorcycle used.
I'm not sure if this helped. sorry
I don’t understand this question. Can anyone help? I need answers ASAP. Thanks for all the help
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
6 radians is the same as____
Round to the nearest hundredth of a degree.
Answer:
343.77
Step-by-step explanation:
1 radian is about 57.2958 degrees
so 57 times 6 is about 343.77
Find the solution set.
x2 + 16x + 64 = 0
Answer:
(x+8)(x+8)
Step-by-step explanation:
Assuming x2 is x^2
(x+8)(x+8) = x^2 + 16x + 64
Continuation
The Zeros Would Be
x = -8
Which equation represents a hyperbola shown in the graph?
Answer:
C
Step-by-step explanation:
Answer:
The answer is C on edge
Step-by-step explanation:
The volume of this sphere is StartFraction 500 pi Over 3 EndFraction cubic inches. What is its radius? A sphere. Recall the formula Sphere Volume = four-thirds pi r cubed
Answer:
5 Inches.
Step-by-step explanation:
Given the volume of a sphere[tex]=\dfrac{500\pi}{3} $ cubic inches[/tex]
We want to determine the radius of the sphere.
Volume of a Sphere [tex]=\dfrac{4\pi r^3}{3}[/tex]
Therefore:
[tex]\dfrac{4\pi r^3}{3}=\dfrac{500\pi}{3} \\$Multiply both sides by$ \dfrac{3}{\pi} \\4 r^3=500\\$Divide both sides by 4\\r^3=125\\r^3=5^3\\r=5$ inches[/tex]
The radius of the sphere is 5 Inches.
Answer:
5
Step-by-step explanation:
Julieta wants to attend a 4-year private university that costs $40,000 per year for tuition. Her parents plan to contribute a quarter of her tuition each year. If she received financial aid that covers 25% of her tuition, in addition to a scholarship for $5,000. How much money will Julieta need to save each year over the next 3 years before her first year?
Answer:
$5,000
Step-by-step explanation:
First, you have to determine the total amount of money she needs to save to cover the cost of the tuition by subtracting the financial aid, the scholarship and the amount her parents plan to contribute from the total cost of the tuition:
40,000-(40,000/4)-(40,000*25%)-5,000
40,000-10,000-10,000-5,000
40,000-25,000= 15,000
She needs to save a total amount of 15,000. Then, you need to divide this amount by 3:
15,000/3= $5,000
Julieta will need to save $5,000 each year over the next 3 years before her first year.
The price of a shirt was marked up from $24 to $30What is the percent of increase?
Answer:
25% increase
Step-by-step explanation:
First take the new price and subtract the original price
30-24 = 6
Divide by the original price
6/24 = 1/4 = .25
Change to percent form
25%
The price went up so it is an increase
25% increase
Answ believe 25%er:
Step-by-step explanation:
Write an equation for an ellipse centered at the origin, which has foci at ( 0 , ± 24 ) (0,±24)left parenthesis, 0, comma, plus minus, 24, right parenthesis and co-vertices at ( ± 10 , 0 ) (±10,0)
Answer:
[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]
Step-by-step explanation:
The distance between foci with respect to origin is determined by mean of the Pythagorean Theorem:
[tex]2\cdot c = \sqrt{(0-0)^{2}+[24-(-24)]^{2}}[/tex]
[tex]2\cdot c = 48[/tex]
[tex]c = 24[/tex]
The distance between origin and any of the horizontal co-vertices is:
[tex]a = \sqrt{[10-(-10)]^{2}+(0-0)^{2}}[/tex]
[tex]a = 20[/tex]
Now, the distance between origin and any of the vertical co-vertices is determined by the following Pythagorean relationship:
[tex]c^{2} = b^{2} - a^{2}[/tex]
[tex]b^{2} = a^{2} + c^{2}[/tex]
[tex]b = \sqrt{a^{2}+c^{2}}[/tex]
[tex]b = \sqrt{20^{2}+ 24^{2}}[/tex]
[tex]b = 4\sqrt{61}[/tex]
Lastly, the equation of the ellipse in standard form is:
[tex]\frac{x^{2}}{400} + \frac{y^{2}}{976} = 1[/tex]
Answer:
x^2/100+y^2/676=1
Step-by-step explanation:
