Answer:
It is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.
Step-by-step explanation:
Since a local pizza parlor is selling two different shapes of cheese pizza for the same price, and you can get two small square pizza that have sides of 7 inches or a large round pizza with a diameter of 12 inches, to determine which choice gives you more pizza the following calculations must be carried out, knowing that the area of a square is equal to pi multiplied by the radius squared, and that the area of a square is equal to its side squared:
Round pizza:
Radius = Half the diameter
3.14 x 6 ^ 2 = X
3.14 x 36 = X
113.04 = X
Square pizzas:
(7x7) x 2 = X
49 x 2 = X
98 = X
Therefore, it is a good idea to buy the round pizza, since it has a total of 113.04 square inches of pizza, while the two square slices together bring together 98 square inches.
In April 1986, a flawed reactor design played a part in the Chernobyl nuclear meltdown. Approximately 14252 becqurels (Bas), units of radioactivity, were initially released into the environment. Only areas with less than 800 Bas are considered safe for human habitation. The function f) = 14252(0.5) describes the amount, (), in becqurels, of a radioactive element remaining in the area of years after 1986. Find f(220) to determine the amount of becqurels in 2206. Determine if the area is safe for human habitation in the year 2206.
A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
B. No, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
C. Yes, because by 2206, the radioactive element remaining in the area is greater than 800 Bqs.
D. No, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
Answer:
A. Yes, because by 2206, the radioactive element remaining in the area is less than 800 Bqs.
Step-by-step explanation:
Function for the amount of radioactivity:
The function for the amount of radioactivity, in t years after 1996, is given by:
[tex]f(t) = 14252(0.5)^{\frac{t}{32}}[/tex]
Find f(220) to determine the amount of becqurels in 2206.
[tex]f(220) = 14252(0.5)^{\frac{220}{32}} = 121.42[/tex]
121.42 < 600, so the area will be safe, and the correct answer is given by option A.
An investment of $8500 increases in value by 4.5% every year. How long until the investment
reaches about $17,323. Round to the nearest whole year
Answer:
16 years
Step-by-step explanation:
Given data
Principal= $8500
Rate= 4.5%
Final amount= $17,323
The expression to find time in compound interest is given as
t= ln(A/P)/r
substitute
t= ln(17323/8500)/0.045
t= ln(2.038)/0.045
t=0.711/0.045
t= 15.8 years
Hence the total time is about 16 years
PLEASE TELL ME THE VALUE
Answer:
Hello! answer: there are 7 quarters which are worth 25 cents each 6 dimes which are worth 10 cents each
there are 5 nickels which are worth 5 cents each and there are 8 pennies which are worth 1 cent each
the total value off all of these together is $2.68
HELP ASAP
I NEED HELP
Answer:
1;27
Step-by-step explanation:
Help pls this is 5th grade math
Answer:
1.35
2.54
3.32
4.64
5.121
6.70
Answer:
1: 35
2: 54
3: 32
5: 64
6: 121
7: 70
Step-by-step explanation:
1: 180-(110+35)
2: 180-(74+52)
3: 180-(58+90)
5: 180-(52+64)
6: 180-(36+23)
7: 180-(56+54)
I need to know this question asap
Answer:
.
Step-by-step explanation:
write an equivalent expression: −12(−2x+4y)
Answer:
24x-48y
hope this helps
have a good day :)
Step-by-step explanation:
Step-by-step explanation:
−12(−2x+4y) = 24x - 48y
______
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proportion is approximately 73%. You would like to be 95% confident that your estimate is within 4% of the true population proportion. How large of a sample size is required
Answer:
A sample size of 474 is required.
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
Based on previous evidence, you believe the population proportion is approximately 73%.
This means that [tex]\pi = 0.73[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
How large of a sample size is required?
A sample size of n is required, and n is found when M = 0.04. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}[/tex]
[tex]0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}[/tex]
[tex]\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2[/tex]
[tex]n = 473.24[/tex]
Rounding up:
A sample size of 474 is required.
Can somebody tell me the answer for this one
Drag the tiles to the boxes to form correct pairs.
Match the values associated with this data set to their correct descriptions.
{6, 47, 49, 15, 43, 41, 7, 36}
First quartile, 11
Median, 45
Third quartile, 38.5
Difference of largest value and median, 10.5
Answer:
Step-by-step explanation:
Jim wants to buy an electric saw marked $98.00. If the salesperson offers him a discount of 15%, how much will he have to pay for the saw?
Answer:
$83.30
Step-by-step explanation:
Find how much he will have to pay by multiplying the price by 0.85, since this will calculate what 85% of the price is (with the 15% discount):
98(0.85)
= 83.3
So, he will have to pay $83.30 for the saw
(1.2 x 10^4)+(2.5 x 10^3)
Select the correct answer.
Which function is the inverse of function
f(x) = -2
Answer:
B
Step-by-step explanation:
let f(x) = y and rearrange making x the subject
y = [tex]\frac{x+2}{7}[/tex] ( multiply both sides by 7 to clear the fraction )
7y = x + 2 ( subtract 2 from both sides )
7y - 2 = x
Change y back into terms of x with x the inverse function, that is
p(x) = 7x - 2
A class of 36 students is going on a field trip. They will take 4 buses. Each bus will have the same number of students. How many students will be on each bus?
Answer:
144
I hope that helped!
Which is a chord of circle P?
Answer:
QR
Step-by-step explanation:
A chord is a line that joins two points on the outside of the circle
QR and KL are chords
At a student art fair, 100 projects were on display. Of all the
3
art projects, were paintings and were photographs.
4.
5
How many of the projects were photographs or paintings?
Answer: 90 projects in all 1/5 were photographs 1/5 of 90=90/5=18
Step-by-step explanation: done :)
Answer:
i cannot see the numbers, can you type them out??
Step-by-step explanation:
i can add answer once you tell me
Which set of angle meausres would determine a triangle
Answer:
180 degrees
Step-by-step explanation:
If you reject a joint null hypothesis using the F-test in a multiple hypothesis setting, then: A) a series of t-tests may or may not give you the same conclusion. B) the regression is always significant. C) all of the hypotheses are always simultaneously rejected. D) the F-statistic must be negative. Answer: A
Answer:
A) a series of t-tests may or may not give you the same conclusion
Step-by-step explanation:
F test is a statistical test, used for testing overall significance in a regression model. It denotes, how well - multiple explanatory (or independent) variables in a regression model effect the variation in dependent variable.
Rejecting a f test implies that - the set of multiple explanatory (or independent) variables 'jointly' effect the dependent variable significantly. However the individual independent variables might or might not effect dependent variable (independently) significantly.
So, the individual t tests might or might not give same conclusion.
Move the values to the boxes to complete the inequality statement.
5<____<7<____<9____<11
Helppp
Answers:
first blank = not sure (see explanation below)second blank = 3*sqrt(6)third blank = 3pi============================================================
Explanation:
Use your calculator to compute 3*sqrt(6) = 7.348469 which is approximate.
We can see that 3*sqrt(6), aka 7.348469, is between 7 and 9
Do the same for 3pi to get 3pi = 9.424778 approximately. So this goes between 9 and 11
As for the first blank, between 5 and 7, it seems like an answer choice is missing. So I would ask your teacher about that. If your teacher meant it to be left blank, then just ignore it.
The area of a triangle is 14 square inches, and the triangle's height is 7 inches. Use the formula A = bh, where A is area, b is
base, and h is height, to find the length of the base of the triangle.
•49 inches
•1 inch
•2 inches
•4 inches
length of base is2 inches:
Answer:
Solution given:
According to the questionArea of triangle=14 square inches
bh=14
7*b=14
b=14/7
b=2
length of base is2 inches:
if
A=½bh
then
Area of triangle=14 square inches
½bh=14
½*7*b=14
b=14*2/7
b=4 inches
the length of the base of the triangle is 4inches.
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
What is mean by Triangle?
A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.
Given that;
The area of a triangle = 14 square inches
Height of a triangle = 7 inches
Now,
The given formula for a triangle is;
⇒ A = bh
Where, A is the area, b is base and h is the height of the triangle.
Substitute all the values in above equation, we get;
⇒ A = bh
⇒ 14 = b x 7
Divide by 7, we get;
⇒ 14/7 = b
⇒ b = 2 inches.
Therefore,
The length of the base of the triangle will be;
⇒ b = 2 inches.
Option 3 is true.
Learn more about the triangle visit:
https://brainly.com/question/21735282
#SPJ2
Harry purchased 5 liter of blackberries. His younger brother ate 1/6 liter of the
blackberries on the way home. How many liters does he have left?
liter
Math
Answer:
f
Step-by-step explanation:
sro;y :-(
Answer:
Since his bro ate 1/6litre...
The remaining is simply
5 - 1/6 = 29/6litres
NO LINKS PLS HELP MMEEE
Answer:
4. 84.82 6. 7238.23 5. 1415.81 7. 1570.8
Step-by-step explanation:
Answer:
4. 254.47ft^3
5. 4247.43yd^3
6. 21714.69 in^3
7. 4712.39 ft^3
hope this helps
have a good day :)
Step-by-step explanation:
A triangle has sides 12, 35, and 37. Identify whether the triangle is right, acute, or obtuse.
Answer:
Right triangle
Step-by-step explanation:
Using pythagorean theorem,
[tex]c^2 = a^2 + b^2\\37^2 = 12^2 + 35^2 \\1369 = 144 + 1225\\1369 = 1369[/tex]
Hence satisfied. So it is right triangle.
Help me please I am not sure about the answer
Answer:
(a)
[tex] {x}^{2} + 2x \\ = x(x + 2)[/tex]
(b)
[tex]2 {x}^{2} - 6x \\ = 2x(x - 3)[/tex]
(c)
[tex]15x - 10 {x}^{3} \\ = 5x(3 - 2 {x}^{2} )[/tex]
(d)
[tex]9 {x}^{2} + 3 {x}^{3} \\ 3 {x}^{2} (3 + x)[/tex]
Jamie had some money in her wallet. She bought french fries for $1.40. She then bought a hamburger for $2.25. Now she has $0.35 left.
How much money did she have to start
Answer:
4 Dallas
Step-by-step explanation:
you add how much for the fries and the hamburger the add how much she add left then you will get the amount of money she start with
The number of Internet users in Latin America grew from 25.8 million in 2009 to 70.6 million in 2016. Use the geometric mean to find the annual growth rate. (Round your answer to 2 decimal places.)
Answer:
the annual growth rate is 15.47 %
Step-by-step explanation:
Given the data in the question;
Internet users grew from 25.8 million to 70.6 million,
from the year 2009 to the year 2016.
Using geometric mean, Annual growth rate = ?
To determine the average growth rate of a time series using geometric mean, we use the following formula;
[tex]r_{geo[/tex] = [ [tex]([/tex] Xₙ / X₀ [tex])^{\frac{1}{n}[/tex] ] - 1
where Xₙ is the data value of the last year { 70.6 million }
X₀ is the data value for the first year { 25.8 million }
n is the sample size or the time difference, ( 2016 - 2009 = 7 )
so we substitute;
[tex]r_{geo[/tex] = [ [tex]([/tex] 70.6 / 25.8 [tex])^{\frac{1}{7}[/tex] ] - 1
[tex]r_{geo[/tex] = [ [tex]([/tex] 2.736434 [tex])^{\frac{1}{7}[/tex] ] - 1
[tex]r_{geo[/tex] = [ 1.15466 ] - 1
[tex]r_{geo[/tex] = 0.15466
[tex]r_{geo[/tex] = ( 0.15466 × 100 )%
[tex]r_{geo[/tex] = 15.47 %
Therefore, the annual growth rate is 15.47 %
1.
a. Find the lengths of the unlabeled sides.
Answer:
The first one-6.324 (This number actually goes on forever), The second one-10
Step-by-step explanation:
1- (6*6)+(2*2), 36+4, 40, 40 unsquared=6.324
2- (8*8)+(6*6), 64+36, 100, 100 unsquared=10
can a triangle consists of an acute angle a right angle and a obtuse angle
Answer:
No
Step-by-step explanation:
All triangles have to equal 180 degrees. The sum of those angles would be greater than 180
Evaluate the expression when x=7 and y=-3. x2+2y
Answer:
Step-by-step explanation:
x = 7, y = -3 2x + 2y
2 (7) + 2 (-3) = 14 - 6 = 8
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{x^2 + 2y}}\\\large\boxed{\mathsf{= 7^2 + 2(-3)}}\\\large\boxed{\mathsf{= 7\times7 + 2(-3)}}\\\large\boxed{\mathsf{= 49 + 2(-3)}}\\\large\boxed{\mathsf{= 49 - 6}}\\\large\boxed{= 43}\\\\\\\huge\boxed{\text{Therefore, your answer: \boxed{\mathsf{43}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Helpp plzz will mark brainleast