Answer:
Step-by-step explanation:
θ = 2π/9 radians
arc length = rθ = 8π/9 units
area of sector = πr²/9 = 16π/9 square units
HELP!!
The local Gas Station is selling 3.5 gallons of gasoline for $22.75. What is the unit price?
PLEASE HELP ME!!!!
Answer:
$6.50/gallon
Step-by-step explanation:
22.75 / 3.5 = $6.50/gallon
given the qintic equation below, solve it to find the values of x. 2x^5_6x^3_4x^2_2x+4 =0
9514 1404 393
Answer:
x = {-0.5-√1.25, -0.5+√1.25, 2, -0.5+i√0.75, -0.5-i√0.75}
Step-by-step explanation:
I like to use a graphing calculator to find clues as to the roots of higher-degree polynomials. Here, we see that x=2 is the only real rational root. Dividing that out by synthetic division, we see the remaining quartic factor is ...
2x^5 -6x^3 -4x^2 -2x +4 = 0
2(x -2)(x^4 +2x^3 +x^2 -1) = 0
We can recognize that the quartic factor is actually the difference of two squares:
x^4 +2x^3 +x^2 -1 = (x^2 +x)^2 -1 = 0
So it resolves to two quadratic factors.
(x^2 +x +1)(x^2 +x -1) = 0
One will have real roots, as shown by the graph. The other will have complex roots.
x^2 +x + 1/4 = 1 +1/4 . . . . complete the square for the factor with real roots
(x +1/2)^2 = 5/4
x = -1/2 ± √(5/4) . . . . . . irrational real roots
__
x^2 +x = -1 . . . . . . . . . . the quadratic factor with complex roots
(x +1/2)^2 = -1 +1/4 . . . complete the square
x = -1/2 ± i√(3/4) . . . . irrational complex roots
__
In summary, the values of x that satisfy the equation are ...
x = 2
x = -1/2 ± √(5/4)
x = -1/2 ± i√(3/4)
Mr. Brown purchased 5.75 pounds of chicken that cost $2.40 per pound How much change should he receive if he pays with a $20 bill? a)
Answer:
$6.20
Step-by-step explanation:
5.75 * 2.40= 13.80
20-13.80= 6.20
$6.20
Ayuda por favor urge
Answer:
x = 4
Step-by-step explanation:
x + x + 6 + 6 = x + 8 + 8
2x + 12 = x + 16
2x + 12 - 12 = x + 16 - 12
2x + 0 = x + 4
2x = x + 4
2x - x = x + 4 - x
2x - x = x - x + 4
x = 0x + 4
x = 0 + 4
x = 4
Chequando Respuesta :
x = 4
x + x + 6 + 6 = x + 8 + 8
(4) + (4) + 6 + 6 = (4) + 8 + 8
4 + 4 + 6 + 6 = 4 + 8 + 8
8 + 6 + 6 = 12 + 8
14 + 6 = 20
20 = 20
Ambos lados de la ecuacio'n son igual cuando x = 4, y esto confirma que la respuesta es corecta, que x = 4 en este problema.
I Need help plz will give brainlyist for the correct answer
NO LINKS (QUESTION BELOW)
Answer:
D
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Find the lengths of the missing side. Round your answer to the nearest tenth
Answer:
11.2 cm
Step-by-step explanation:
The missing side = the hypotenuse
Apply pythagorean theorem to find he hypotenuse which is given as:
c² = a² + b³
a = 10 cm
b = 5 cm
c = Hypotenuse (missing side)
(Hypotenuse)² = 10² + 5² = 125
Hypotenuse = √125
Hypotenuse = 11.1803399 ≈ 11.2 cm (nearest tenth)
Find the length of side x in simplest radical form with a rational denominator.
Answer:
x = 2√3
Step-by-step explanation:
x² = √6² + √6²
x² = 6 + 6 = 12
x = √12 = 2√3
Priya rewrites the expression 8y−24 as 8(y−3). Han rewrites 8y−24 as 2(4y−12). Are Priya's and Han's expressions each equivalent to 8y−24? Explain your reasoning
Answer:
sdfsefsesfsfsefsefsefsefsfsefesef
Step-by-step explanation:
4.91666666667 as a fraction
Answer:
Up to 6 decimal places are supported for decimal-to-fraction conversion.
Step-by-step explanation:
Find the vertex of the parabola y=2x^2+10x+8
Answer:
Step-by-step explanation:
Put the equation into vertex form.
y = 2x² + 10x + 8
= 2(x² + 5x) + 8
= 2(x² + 5x + 2.5²) - 2·2.5² + 8
= 2(x+2.5)² - 4.5
vertex (-2.5, -4.5)
What is the area of this figure
(X8.6.PS-12
Question Help
A circular flower bed is 20 m in diameter and has a circular sidewalk around it that is 2 m wide.
Find the area of the sidewalk in square meters. Use 3.14 for it.
The area of the sidewalk is m2.
(Round to the nearest whole number as needed.)
Enter your answer in the answer box and then click Check Answer.
Clear All
Check Answer
All parts showing
Answer:
area = 138 m²
Step-by-step explanation:
radius of large circle = 12 m
radius of small circle = 10 m
large circle area = πr² = (3.14)(12²) = 452.16 m²
small circle area = πr² = (3.14)(10²) =314 m²
452.16 - 314 = 138.16 m²
What is the equation of the horizontal asymptote?
A. y = 0
B. x = 0
C. y = x
D. x = 2
Answer:
horizontal asymptote at y = 0
Step-by-step explanation:
According to the definition of asymptotes, it is a line that the function gets closer and closer to as x goes to plus or minus infinity. The definition clearly does not mention anything about the finite value of x.
However, crossing of asymptotes does not happen in the case of vertical asymptotes because for a given x, the function has only one value but the same y can be obtained for different values of x.
It is a common misconception that graphs of functions can’t cross the asymptotes. This is true only for vertical asymptotes. In fact, there are several examples of functions whose graphs cross the horizontal asymptote. For example:
f(x) = (xe)^((-x)^2)
The horizontal asymptote of the above function is y=0 but it still crosses the x axis at x=0.
hope that helps, I really don't know thought. Quite tricky
Does the mapping diagram represent a function? Why or why not?
х
y
-6
10
2
Answer:
use mathwy
Step-by-step explanation:
its better for a. expansion
Explain the difference between a percent and a unit rate.
Answer:
A rate is a special ratio in which the two terms are in different units. For example, if a 12-ounce can of corn costs 69¢, the rate is 69¢ for 12 ounces. ... When rates are expressed as a quantity of 1, such as 2 feet per second or 5 miles per hour, they are called unit rates.
Step-by-step explanation:
an angle measures 176 degrees more than the measure of its supplementary angle. what is the measure of each angle
Answer:
One angle measures 178º, and the other measures 2º.
Step-by-step explanation:
Given that an angle measures 176 degrees more than the measure of its supplementary angle, to determine what is the measure of each angle, the following calculation must be performed, knowing that the sum between two complementary angles gives 180º:
(180 - 176) / 2 = X
4/2 = X
2 = X
180 - 2 = 178
Thus, one angle measures 178º, and the other measures 2º.
A bookmark is shaped like a rectangle with a semicircle attached at both ends. The rectangle is 14 cm long and 4 cm wide. The diameter of each circle is the width of the rectangle. What is the area of the bookmark? Use 3.14 for π.
_____
The area of the bookmark is_____cm2.
Answer:
The area of the bookmark is 68.56 cm².
Step-by-step explanation:
Separate the bookmark into simpler shapes as described in the problem: a rectangle and a circle (two semicircles of the same size).
Find the area of the simpler figures.
Rectangle
A = LW
A = 14 · 4
A = 56
The area of the rectangle is 56 cm2.
Circle
A = πr2
A = 3.14(2)2
A = 3.14(4)
A = 12.56
The area of the circle is 12.56 cm2.
Find the area of the bookmark.
A = 56 + 12.56
A = 68.56
The area of the bookmark is 68.56 cm².
Help me with 15 :)plz
Question 11
2 pts
If the temperature at 10:00 am is -23° F and two
hours later at 12:00 pm the temperature rose 6
degrees Fahrenheit, what is the temperature at
12:00 pm in degrees?
Answer:
17 degrees
Step-by-step explanation:
-23 + 6 = 17
Ms. Cathy bought a package of pens. Out of every 10 , pens, 7 are black. If there are 20 pens in the pack, what fraction of the pens in the pack are black? What percent of the pens in the pack are black? What fraction of the Owens in the pack is black?
Answer:
Step-by-step explanation:
7/10 are black therefore 14/20 are black
Use the equation below to find y, if m=6, x=4, and b= 15. y=mx-b
Answer:
9
Step-by-step explanation:
Y = MX-B,
therefore Y = (6*4) - 15,
so Y = 24 - 15
Y = 9
A first-aid cream contains amounts of the active ingredient (in mg) that vary Normally with unknown mean m and standard deviation s from tube to tube. You select a simple random sample of 9 tubes and assess the quantity of active ingredient they contain. The 9 amounts, in mg, are 23 24 23 29 28 26 27 28 26 Based on these data, a 99% confidence interval for the population mean m has margin of error of ____ mg.
Answer:
2.5 mg
Step-by-step explanation:
Given the data:
23 24 23 29 28 26 27 28 26
The sample standard deviation, s
s = sqrt[Σ(x - mean)²] ÷ (n - 1)
Mean, m = ΣX / n
n = 9
Mean = 234 /9 = 26
Using a calculator :
s = 2.236
The margin of error, MOE
MOE = Tcritical * s/sqrt(n)
Tcritical at df = (n-1) = 9-1 = 8 , α = 0.01 = 3.35536
MOE = 3.35536 * 2.236/sqrt(9)
MOE = 3.35536 * 2.236/3
MOE = 3.35536 * 0.7453333
MOE = 2.50086
MOE = 2.5
If the temperature was -24 degrees yesterday. If the temperature is 5 degrees now. What was the temperature change
Answer:
The temperature went up by 29 degrees.
Step-by-step explanation:
Since -24 is negative,
Add 5 to 24 = 29.
expand and simplify (2x + 3) (3x - 1)
Answer:
6x^2+7x−3
Step-by-step explanation:
(2x+3)(3x−1)
Apply the distributive property by multiplying each term of 2x+3 by each term of 3x−1.
6x^2−2x+9x−3
Combine −2x and 9x to get 7x.
6x^2+7x−3
Graph if needed:
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit. The production group believes that the mean weight has changed. They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces. What conclusion can we make from the appropriate hypothesis test at the .01 level of significance
Answer:
We accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
Step-by-step explanation:
Pineapple Corporation (PC) maintains that their cans have always contained an average of 12 ounces of fruit.
This means that the null hypothesis is: [tex]H_0: \mu = 12[/tex]
The production group believes that the mean weight has changed.
This means that the alternate hypothesis is:
[tex]H_a: \mu \neq 12[/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.
12 is tested at the null hypothesis:
This means that [tex]\mu = 12[/tex]
They take a sample of 15 cans and find a sample mean of 12.05 ounces and a sample standard deviation of .08 ounces.
This means, respectibely, that [tex]n = 15, X = 12.05, \sigma = 0.08[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{12.05 - 12}{\frac{0.08}{\sqrt{15}}}[/tex]
[tex]z = 2.42[/tex]
Pvalue of the test:
We are testing if the mean is different from a value, which means that the pvalue is 2 multiplied by 1 subtracted by the pvalue of z = 2.42.
Looking at the z-table, z = 2.42 has a pvalue of 0.9922
1 - 0.9922 = 0.0078
2*0.0078 = 0.0156
What conclusion can we make from the appropriate hypothesis test at the .01 level of significance?
0.0156 > 0.01. This means that at the 0.01 level, we accept the null hypothesis, that is, that the mean weight of the cans is still of 12 ounces of fruit.
Can someone please help me?
I will try i had this unit last year, basically the diameter is 5 in this problem, which you multiply by pi (in this case I will use 3.14 as the shortened version since its on-going) which gives you 15.7, then you multiply that by 3 in this problem to get 47.1!
Answer:
Step-by-step explanation:
Volume of a cylinder formula = πr^2h
r (radius) = 5/2 = 2.5
h (height) = 3
Answer: 3π(2.5)^2 = 3π(6.25) = 18.75π cubic units
please help it due rn
Answer:
B) (1/2, -8)
Step-by-step explanation:
(1, -6) and (0, -10)
Midpoint formula:
((x1+x2)/2, (y1+y2)/2)
Solving for x:
(x1+x2)/2
(1 + 0)/2
1/2
Solving for y:
(y1+y2)/2
(-6-10)/2
(-16)/2
-8
please help
85-v=213
solve for v
Step-by-step explanation:
subtract the whole equation by 85 on both sides to get v by itself on the left side
85-85-v=213-85
-v=128
Now we divide the whole equation by negative 1
-1v/-1=128/-1
v=-128
Hope that helps :)
Vito Corleone has planned a grand outdoor summer wedding for his daughter in New York City. In the past couple of years, it has rained only 25 days out of the 92 days of summer. Unfortunately for Vito, the local meteorologist has predicted that it will rain on the day of the wedding. On a typical summer day: given it rains, the meteorologist predicted that it will rain correctly) 80% of the time On the other hand, given it did not rain, the meteorologist predicted it will rain (incorrectly 20% of the time.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Answer:
a) 0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
b) 0.5989 = 59.89% probability that it actually rains on the day of the wedding
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
A. What is the probability that the meteorologist predicts that it rains on a given summer day?
80% of 25/92(prediction of rain, and rained).
20% of 67/92(prediction of rain, did not rain). So
[tex]P = \frac{0.8*25}{92} + \frac{0.2*67}{92} = 0.3630[/tex]
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day.
B. Given that the meteorologist predicted rain, what is the probability that it actually rains on the day of the wedding?
Conditional Probability, in which:
Event A: prediction of rain
Event B: rain
0.3630 = 36.30% probability that the meteorologist predicts that it rains on a given summer day, which means that [tex]P(A) = 0.3630[/tex]
Rain and prediction of rain:
80% of 25/92. So
[tex]P(A \cap B) = \frac{0.8*25}{92} = 0.2174[/tex]
The desired probability is:
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.2174}{0.3630} = 0.5989[/tex]
0.5989 = 59.89% probability that it actually rains on the day of the wedding