Answer:
fourth option
Step-by-step explanation:
Given
f(x) = (x + 1)(x + 4)(x - 7)
To find the x- intercepts let f(x) = 0, that is
(x + 1)(x + 4)(x - 7) = 0
Equate each factor to zero and solve for x
x + 1 = 0 ⇒ x = - 1
x + 4 = 0 ⇒ x = - 4
x - 7 = 0 ⇒ x = 7
x- intercepts are (- 1, 0 ), (- 4, 0 ), (7, 0 )
Radium-226 was discovered by Marie-Curie in 1898.
The notebooks she used were contaminated with radium-226 and are still hazardous.
Explain why the notebooks are still hazardous. (2) *
Answer:
The notebooks are still hazardous because the Curies didn't use protective equipment (nor did they have it) and the close proximity of the radioactive isotopes allowed for spreading of radioactivity. Since Radium-226 was kept in bottles and drawers in the Curies' home, it was in close proximity to their items. This allowed for Radium-226 to radiate to other items. In turn, those items absorbed the radiation and become radioactive. Today, Marie Curie is buried under a lead-lined coffin and her belongings can be visited ONLY with protective gear and signing a liability form.
Step-by-step explanation:
15. An electric can opener is worth 38 dollars when it is new. After each year it is worth half what it was the
previous year. What will its worth be after 4 years? Round your answer to the nearest cent.
$4.19
$4.75
b. $1.19
d. $2.38
a.
c.
Answer: d. $2.38
Step-by-step explanation:
Exponential decay function: [tex]Ab^x[/tex], where A = initial value
x= Time mperiod
b = multiplicative decay rate
As per given, we have
A = 38 dollars
b= 0.5
Amount after x years : [tex]38(0.5)^x[/tex]
Then, at x= 4
Amount after 4 years : [tex]38(0.5)^4=38(0.0625)[/tex]
[tex]=2.375\approx2.38[/tex]
Hence, the worth of electric can opener after 4 years = $2.38.
So, correct option is d. $2.38
The price of a holiday was increased by 11% to £870. What was the price before the increase? Give your answer to the nearest penny.
Answer:
£783.78Step-by-step explanation:
Let the price before be x
Then the price after is:
x + 11% of x = £870x*1.11 = £870x = £870/1.11x = £783.78 rounded to the nearest pennyWhich of the following is equivalent to 18 minus the square root of -25
Answer:
Undefined
Step-by-step explanation:
Since you said to find the square root of "-25" the answer is undefined because you cannot square root a negative number.
Answer:
18-5i
Step-by-step explanation:
I can't see the answer choices but all you have to do is simplify this equation.
18-√-25
What is the square root of -25?
Well first we make the -25 into 25 because we can't do anything with a negative.
So square root of 25 is 5
Now plug 5 into the equation
18-5
Then multiply i to 5 because we're not sure what the exact value of 18-√-25 is.
Hope this Helps!
HELP
IMA GIVE BRAINLIEST
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
there are 8 numbers
we want one of them (number 4)
which is 1 in 8
that is:
[tex] \frac{1}{8} [/tex]
Hello, a Maths question if anyone knows what to do Solve: 6(x+4)=30
Answer:
x = 1
Step-by-step explanation:
6(x+4)=30 (divide both sides by 6)
(x+4) = 30/6
x+4 = 5 (subtract 4 from both sides)
x = 5 - 4
x = 1
Step-by-step explanation: 6(x+4)=30
(Distributive property): 6x+24=30
( Transposition method): 6x=30-24( + becomes -) 6x=6
(Transpose 6 to rhs) x=6/6( since it was multiplication on LHS it becomes division in RHS) x=1
Find the height of the cylinder with the volume of 271.4 and a cylinder radius of 6. Round to nearest tenth PLEASE HELP!
Answer:
2.4.
Step-by-step explanation:
the formula of the volume of a cylinder is ; πr²h.
so, we will have to substitute with the formula.
3.14 × 6 × 6 × h = 271.4
113.04h = 271.4
divide both sides by the number next to the unknown, which is 113.04.
you will get 2.4009200........
when u round off to the nearest tenths, you will get 2.4.
Which expression is equivalent to
(4^5/4.4^1/4/4^1/2
Answer:
Which expression is equivalent to ((4^((5)/(4)).4^((1)/(4)))/(4^((1)/(2))))^((1)/(2))?
The population of a large city can be calculated using the function . What can you say about the rate of change from year 1 to year 2 compared to the rate of change from year 9 to year 10
Answer:
The rate of change will be the same for all years.
Step-by-step explanation:
As it is mentioned in the question, that the rate of change is 7%.
And as we know that
= I (1 + R)^T
where
I = Initial amount
R = Rate of growth,
And T = Time.
So in the given case, the rate is 0.07, or 7% while on the other hand the growth RATE remains constant and the growing amount would be increased each year.
Therefore the rate of change would be the same for all the year
The Slope of a Line
(8,2) and (5,11)
Calculate the slope of the line
that contains the given points.
Answer:
m = -3
Step-by-step explanation:
Slope Formula: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Simply plug in our coordinates to find slope:
m = (11 - 2)/(5 - 8)
m = 9/-3
m = -3
What percent of discount should be given in a doll costing Rs 180
such that a customer can buy at Rs 160?
Answer:
11.11%
Step-by-step explanation:
So the question is:
$180 * (x)% = $y
Therefore $180 - $y = $160
Now:
180 - 160 = 20
Therefore; $20 is the discount
Now per cent of discount:
20/180 * 100 = 11.111111111111111111111%
therefore: per cent of discount is 11.11% (rounded to two decimal place)
Answer:
11.11 %
Step-by-step explanation:
Costing Price = Rs 180
Selling Price = Rs 160
Discount = C.P - S.P
=> 180-160
=> Rs 20
In %age:
=> [tex]\frac{20}{180} * 100[/tex]
=> 11.11 %
que son los angulos adyacentes
Answer:Two angles are Adjacent when they have a common side and a common vertex (corner point) and don't overlap.
Step-by-step explanation:
If Milly has 29924827134702 candies and she gave 928439 to BOB then he gave 1000 back to Milly How much does both Milly and BoB have?
Answer:
"BOB" gave back 1000 that would be 928439 - 1000 = 927439(BOB has)
"BOB" gave back 1000 to Milly.. 29924827134702 + 1000 = 2.9924827(MILLY has)
Step-by-step explanation:
well, first, if "BOB" gave back 1000 that would be 928439 - 1000 = 927439, so "BOB" now has 27439. and now, "BOB" gave back 1000 to Milly sooo now it is 29924827134702 + 1000 = 2.9924827 (e+13) soooo ya thats it
hope this helped LOL
What is the unit rate of each point (10,2.4) (15, 3.6) (17.5, 4.2)
Answer:
0.24
Step-by-step explanation:
Given the points (10,2.4) (15, 3.6) (17.5, 4.2)
The unit rate is the slope of the line joining any of the two points.
Using points (10,2.4) and (15, 3.6)
[tex]Slope, m=\dfrac{3.6-2.4}{15-10} \\=\dfrac{1.2}{5} \\\\=\dfrac{6}{25}[/tex]
=0.24
Using points (10,2.4) and (17.5, 4.2)
[tex]Slope, m=\dfrac{4.2-2.4}{17.5-10} \\=\dfrac{1.8}{7.5} \\\\=\dfrac{6}{25}\\=0.24[/tex]
Therefore, the unit rate for each point is 0.24
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
From Dial it, we have plans of $16 per 2 gb.
then the ratio is (number of gb you get):price
in this case:
2:16 or we can reduce it to 1:8
this means that per each Gigabyte, you pay 8 dollars. 1:8
Ring Ring has plans of $9 per 1gb
then the ratio of gb to Dollars is 1:9
And the ratio between the prices of the companies is: 8 to 9 or 8:9
which means that in one company you get one thing for 8, while in the other company you get the same thing for 9.
Answer:
Dial it Up charges $32 for 4 gigabytes, and Ring Ring charges $36 for the same amount of data. The difference of the plan prices is $36 – $32 = $4.
?/? of 24 = 16 (answer in fraction)
Answer:
[tex]\boxed{\sf \ \ \ \dfrac{2}{3} \ \ \ }[/tex]
Step-by-step explanation:
hello
24 = 8*3
16 = 8*2
so
[tex]\dfrac{2}{3}*24=\dfrac{2*8*3}{3}=8*2=16[/tex]
so the answer is 2/3
hope this helps
A university would like to estimate the proportion of fans who purchase concessions at the first basketball game of the season. The basketball facility has a capacity of 3 comma 600 and is routinely sold out. It was discovered that a total of 210 fans out of a random sample of 500 purchased concessions during the game. Construct a 95% confidence interval to estimate the proportion of fans who purchased concessions during the game.
Answer:
Step-by-step explanation:
Confidence interval is written as
Sample proportion ± margin of error
Margin of error = z × √pq/n
Where
z represents the z score corresponding to the confidence level
p = sample proportion. It also means probability of success
q = probability of failure
q = 1 - p
p = x/n
Where
n represents the number of samples
x represents the number of success
From the information given,
n = 500
x = 210
p = 210/500 = 0.42
q = 1 - 0.42 = 0.58
To determine the z score, we subtract the confidence level from 100% to get α
α = 1 - 0.95 = 0.05
α/2 = 0.05/2 = 0.025
This is the area in each tail. Since we want the area in the middle, it becomes
1 - 0.025 = 0.975
The z score corresponding to the area on the z table is 1.96. Thus, the z score for a confidence level of 95% is 1.96
Therefore, the 95% confidence interval to estimate the proportion of fans who purchased concessions during the game is
0.42 ± 1.96√(0.42)(0.58)/500
= 0.42 ± 0.043
Which number is a factor of 51?
factors of 51 are 1, 3, 17, 51
Answer:
1 × 51 = 51
3 × 17 = 51
_________
1, 51, 3, 17 are all factors of 51!
51 is composite.
V2 is in between what two numbers??
Answer:
sqrt of 2 is between 1 and 2
The square root of 2 is in between the square of one and the square of 2.
ILL MARK BRAINLIEST In independent random samples of 10 men and 10 women in a coed basketball league, the numbers of points scored per season are given by the back-to-back stemplot below:
Part A: Describe the shape of each data set.
Part B: Michaela analyzed the data and stated that the better measure of center for the women is the mean. Is Michaela correct? Explain your reasoning.
Part C: Michaela decided there are no outliers in the women's data set. Is she correct? Justify your answer mathematically.
Answer:
Step-by-step explanation:
Hello!
a)
To compare both datasets I've made a box plot for them.
The yellow one belongs to the points scored by the men and the green one is for the points scored by the women.
Women: The box seems symmetrical, the median and the mean (black square) are almost the same. The whiskers are almost the same length, you could say that in general the points scored by the women have a symmetrical distribution.
Men: The box looks a little skewed to the right, the median is closer to the 1st quantile and the mean is greater than the median. The whiskers are the same length, in general the distribution seems almost symmetrical.
b)
As you can see in the box plot the median and mean of the points scored by the women are almost the same. Using the data I've calculated both values:
Me= 24.50
X[bar]= 23.80
The median divides the sample in halves (50-50), it shows you where the middle of the distribution is.
The average shows you the value that centers the distribution, meaning, it is the value around which you'll find most of the data set. It summarizes best the sample information and therefore is a better measure of center.
c.
As you can see in the box plots, there are no outliers in both distributions.
An outlier is an observation that is significantly distant from the rest of the data set. They usually represent experimental errors (such as a measurement) or atypical observations. Some statistical measurements, such as the sample mean, are severely affected by this type of values and their presence tends to cause misleading results on a statistical analysis.
Considering the 1st quartile (Q₁), the 3rd quartile (Q₃) and the interquartile range IQR, any value X is considered an outlier if:
X < Q₁ - 1.5 IQR
X > Q₃ + 1.5 IQR
Or extreme outliers if:
X < Q₁ - 3 IQR
X > Q₃ + 3 IQR
For the women data set:
Q₁= 17; Q₃= 30; IQR= 30 - 17= 13
Lower outliers: X < Q₁ - 1.5 IQR= 17-1.5*13= -2.5 ⇒ The minimum value recorded is 03, so there are no outliers.
Upper outliers: X > Q₃ + 3 IQR= 30 + 1.5*13= 49.5 ⇒ The maximum value registered is 41, so there are no outliers.
I hope this helps!
write the unit digit of denominator of (x+y)*z where x = -4/3 y =1/2 z= -7/5 plz help
Answer:
6
Step-by-step explanation:
(x+y)*z= (-4/3+1/2)*(-7/5)= -5/6* (-7/5)= 35/30=7/6
Denominator is 6.
can someone help me answer this
Answer:
x = 80°
Step-by-step explanation:
x = 180 - ( 129 + 71 ) / 2
Thanks!
Highlands
Analyze the dot plots. What is the approximate
difference between the means of the two data sets to
the nearest whole number?
mm
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Lowlands
2 4 6 8 10 12 14 16 18 20 22 24 26 28 30 32
Rainfall (mm)
Answer:
3 mm
Step-by-step explanation:
Please answer this question now
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent, it is a right angle
VWX is a right triangle, so we can use the Pythagorean theorem
a^2+b^2 = c^2
6^2 + 8^2 = VX ^2
36+64 = VX ^2
100 = VX ^2
Take the square root of each side
sqrt(100) = sqrt( VX ^2)
10 = VX
Answer:
10 cm
Step-by-step explanation:
Since WX is tangent to the circle V, by definition, WX ⊥ WV.
So, we've established that ΔWXV is a right triangle. This means that we can apply the Pythagorean Theorem, which states that for a triangle with legs a and b and hypotenuse c:
a² + b² = c²
Here, we have a = WV = 6 and b = WX = 8, so:
a² + b² = c²
6² + 8² = 36 + 64 = 100
c² = 100
c = √100 = 10
Therefore, VX = 10 cm.
~ an aesthetics lover
Will give the brains of me brains and my brains and maby ur brain to u how many brains can i give u if u ask this quetion right?
Answer: 83.6
Step-by-step explanation:
The data shown below is: 81,83,84,85,85. The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6
Hope it helps <3
P.S. brainliest brains?
The data shown below is: 81,83,84,85,85. The mean of this data set can be calculated via (81+83+84+85+85)/5=83.6
what point lies on y-2=5(x-6)
Answer: (0, -28)
Step-by-step explanation:
Turn this equation into slope-intercept form.
y-2=5x-30
y=5x-28.
Because the y-intercept is -28, the point (0,-28) must be on the line.
Hope it helps <3
A region is bounded by semicircular arcs constructed on the side of a square whose sides measure 2/\pi, as shown. What is the perimeter of this region?
Answer:
4
Step-by-step explanation:
The perimeter of the region is equal to the sum of the perimeter of the four semicircular arc. Since the semicircular arcs have the same measure, therefore:
Perimeter of region = 4 × Perimeter of semicircular arc.
The side of the square = diameter of the semicircle = 2/π.
The radius of semicircle = diameter/2 = [tex]\frac{2/\pi}{2} =\frac{1}{\pi}[/tex]
The perimeter of a semicircle = perimeter of a circle ÷ 2
[tex]Perimeter\ of \ semicircle = \frac{perimeter\ of\ circle}{2}=\frac{2\pi r}{2}=\frac{2\pi (\frac{1}{\pi} )}{2} =1\\ Perimeter\ of\ region = 4*Perimeter\ of \ semicircle=4*1=4\[/tex]
Trevor drew lines of best fit for two scatter plots, as shown. Which statement describes the placement of the lines Trevor drew?
Answer:
A)Only Line A is well placed line of best fit
Step-by-step explanation:
Best fit line :A line through a scatter plot of data points that best expresses the relationship between those points is called best fit line
The least-squares method provides the closest relationship between the dependent and independent variables by minimizing the distance between the residuals and the line of best fit
By considering both the given graphs
We can see that Line A gives the minimum distance between residuals and line of best fit whereas Line B does not give the minimum distance between residuals and line of best fit
So,Option A is true
A)Only Line A is well placed line of best fit
Answer: a) only line A is a well placed line of best fit
Step-by-step explanation:
At the Souvenir Shop, gemstone souvenirs cost $11.60 for 5. Which proportion can be used to find the cost of just 1 gemstone?
Answer:
see below
Step-by-step explanation:
$11.60 for $5
1. Find the rate.
$11.60 divided by $5= $2.32
2. 1 gemstone= $2.32
Your anwser should be 1 over $2.32 or $2.32 over 1 depending on how you want it.
Answer:
D) x/11.60= 1/5
Step-by-step explanation:
Which diagram shows possible angle measures of a triangle? A triangle has angle lengths 35 degrees, 115 degrees, and 25 degrees. A triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees. A triangle has angle lengths 35 degrees, 120 degrees, and 35 degrees. A triangle has angle lengths 30 degrees, 120 degrees, and 20 degrees.
The diagram that will show possible angle measures of a triangle is. A triangle has angle lengths of 32 degrees, 115 degrees, and 33 degrees.
It should be noted that the sum of the angles that are in a triangle equals 180°. Therefore, in this situation, we'll need to add the values and the one that gives 180° is the right answer.
Therefore, when a triangle has angle lengths 32 degrees, 115 degrees, and 33 degrees, the sum will be:
= 32 + 115 + 33
= 180°
Read related link on:
https://brainly.com/question/16942878
Answer:
Step-by-step explanation:
It's B