[tex]9^{2n-1} = 27^{n+2} \\ ( {3}^{2} ) ^{2n - 1} = ( {3}^{3} )^{ n + 2} \\ {3}^{4n - 2} = {3}^{3n + 6} \\ 4n - 2 = 3n + 6 \\ 4n - 3n = 6 + 2 \\ n = 8[/tex]
Answer: n=8
find the value of x in given right triangle
Step-by-step explanation:
It is a right angled triangle so with reference angle 37°
hypotenuse (b) = 10
perpendicular (p) = x
So
tan 37° = p/ b
0.75 = x / 10
x= 0.75/10
Therefore x = 0.075
Hope it will help you :)
The value of x when rounded to nearest 10th will be 6.0
Given: a right angled triangle with hypotenuse equal to 10 units and angle opposite to the perpendicular equal to 37°
To find: value of the perpendicular [tex]x[/tex]
To find the perpendicular we can use trigonometric equation:
[tex]\sin \theta = \frac{\text{perpendicular}}{\text{hypotenuse}}[/tex]
where [tex]\theta[/tex] is the angle opposite to the perpendicular
Putting the values in the equation we get:
[tex]\sin 37 = \frac{x}{10}\\[/tex]
[tex]0.6018 = \frac{x}{10}\\[/tex]
[tex]x= 0.6018 \times 10\\x = 6.018[/tex]
So, the value of the perpendicular (x) is 6.018 units but when rounded to nearest 10th we get 6.0
please help !!! i’ve been ignored all day ! show how you calculate the percent step by step, thanks!
The population of Texas was 3 433 145 in 2008
and 3 520 268 in 2009.
calculate the percent.
Answer:
step1
subract 2008population froom 2009 popultion
step2
answer that was subracted divide that by total area of the texas
Geometry Question Find the Area of the Circle
Answer:
379.94
Step-by-step explanation:
A = πr²
A = 3.14 x 11²
A = 3.14 x 121
A = 379.94
Find the radius [ d / 2 = r ]
22 / 2 = 11cm.
Find the area [ A = πr² ]
A = π(11)²
A = π(121) or 121π
A = 379.94
Therefore, the area of the circle is 379.94cm² or 121π cm²
Best of Luck!
What is (2x10^1) the answer in scientific notation
A water taxi has a maximum load of 1,800 pounds. If the average weight of one person is 150 pounds,how many people can safely ride in the water taxi?
Answer:
12 people
Step-by-step explanation:
Because 1800 divided by 150 equals 12 people exactly
Hope this helps
What is the completely factored form of
x3 + 4x2 – 9x – 36?
Answer:
(x + 4) (x - 3) (x + 3)
Step-by-step explanation:
The community center provides tutoring for students p. The cost of the tutoring is $18 per session. Write an equation to model the total cost (c), after (s) sessions
A) c=18s
B) c= 18+s
C) c= s-18
D) s=18c
Pls hurry
Answer: A) c=18s
Step-by-step explanation: Each session means we are multiplying so we can eliminate B and C so next we must understand where to place our variables. If it is 18 per session then 18s would be the equation and equal the total cost (c) soo the answer is c=18s
Annie has 7 strokes and Steven has -8 strokes how many more strokes does annie have then Steven
Answer:
I mean I dont know how someone can have -8 strokes but if so annie has 15 more strokes then steven
What is the value of n in the equation below?
StartFraction a Superscript n Over a cubed EndFraction = a Superscript 9
3
6
12
27
Answer
12
Step-by-step explanation:
in this equation , since its a fraction you would divide. With the exponents it would be subtraction. therefore, making it 12 I hope this helps :)
Answer:
12
Step-by-step explanation:
got 100 on the test.
A plane rises from take-off and flies at an angle of 10 degrees with the horizontal runway. When it has gained 900 feet, find the distance, to the nearest foot, the plane has flown. An airplane is at vertex B of a right triangle that has a horizontal side AC, a vertical side BC of length 900 feet, and a dashed hypotenuse AB of unknown length c that rises from left to right. Angle C is the right angle and angle A measures 10 degrees. 10 degrees c equals question mark 900 ft A B C
Answer: The plane has flown 5,183 feet (approximately)
Step-by-step explanation: First and foremost, the plane is at vertex B of a right angled triangle ABC, and angle A measures 10°. Also the vertical side BC is the distance covered by the plane which in this case is the hypotenuse. The line BC is facing angle A which is the reference angle, hence line BC is the opposite.
With this bit of information we can calculate the distabce flown (hypotenuse) as follows;
Sin A = opposite ÷ hypotenuse
Sin 10 = 900/c
By cross multiplication we now have;
c = 900/Sin 10
c = 900/0.17364817766693
c = 5182.89
c ≈ 5183
Therefore the plane has flown 5,183 feet (approximately)
To find the distance the plane has flown, use the cotangent of the given angle (10 degrees) and multiply with the opposite side length (900 feet). The resulting value, rounded to the nearest foot, is the distance flown.
Explanation:In this scenario, we have a right triangle where it's given that the vertical side BC = 900 feet, the angle at A is 10 degrees, and we need to find the length of the hypotenuse AB (distance the plane has flown). For a right triangle, the trigonometric property that relates the angle with the sides is tangent (tan), defined as the ratio of the opposite side to the adjacent side.
However, in this case, we need to use its reciprocal function, cotangent (cot), which gives the ratio of the adjacent side to the opposite side. As we know the opposite side (900 feet) and the angle (10 degrees), we can find the length of the hypotenuse (AB) using the cotangent of the angle, i.e., cot(10 degrees) = AB/900. So, AB = cot(10 degrees) * 900.
On calculating the above expression and rounding to the nearest foot, you get the distance the plane has flown.
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Suppose that Lady Gaga goes to Las Vegas to play poker and at the last minute her record company says it will reimburse her for 35 percent of any gambling losses that she incurs.
a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?
b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior?
Answer:
Refer below.
Step-by-step explanation:
a. Will Lady Gaga wager more or less as a result of the reimbursement offer? Less or more?
Lady Gaga wager MORE.
b. What economic concept does your answer illustrate? Adverse selection or moral hazard or irrational behavior.
The economic concept answer illustrate is MORAL HAZARD.
Due to the reimbursement clause offered to Gaga on losses made, then she will wager more. However, this could in moral hazard.
With a reimbursement clause of 35% on losses made, Lady Gaga will be buoyed by the fact that, she'll recoup 35% of her bet if she losses, then she'll most likely wager more. By promoting Lady Gaga on gambling, it could spark a moral effect, causing youths to adore and become more indulged in the act of gambling.Learn more : https://brainly.com/question/7390205
someone help please?
Answer:
A. 76
B. 150
C. 38
Step-by-step explanation:
Answer:
(a) 76 students drink coffee.
(b) 150 students drink coffee, tea, or both.
(c) 38 students do not drink both tea and coffee.
Step-by-step explanation:
This question requires an analysis of Venn diagrams.
(a) The two circles are shared, but only 76 students drink coffee.
(b) I'm pretty sure this is a trick question. It says "how many drink tea OR coffee OR both?" probably meaning that they want you to count everyone besides the 38 who do not drink either. This could be 28, but I am sure that it is 150.
(c) As seen outside of the Venn diagram, 38 do not drink either coffee or tea.
Find the equation for the volume of a cone and the volume of a cylinder. Solve both equations for "radius of the base".
Answer:
The formula to find the volume of a cylinder is v = πr2h. The formula to find the volume of a cone is V = 1/3πR2H
Step-by-step explanation:
The V is for volume, the H is for height, and the R is for radius.
The formula for the volume of a cone is V = (1/3)πr²h and the formula for the volume of a cylinder is V = πr²h. To solve for the radius, rearrange the formulas.
Explanation:The formula for the volume of a cone is given by: V = (1/3)πr²h, where r is the radius of the base and h is the height of the cone. To solve for the radius, rearrange the formula as: r = √((3V)/(πh)).
The formula for the volume of a cylinder is given by: V = πr²h, where r is the radius of the base and h is the height of the cylinder. To solve for the radius, rearrange the formula as: r = √((V)/(πh)).
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Ground beef is packaged in small trays, intended to hold 1 pound of meat. A random sample of 45 packages in the small tray produced weight measurements with an average of 1.04 pounds and a standard deviation of 0.19 pound.a. If you were the quality control manager and wanted to make sure that the average amount of ground beef was indeed 1 pound, what hypotheses would you test?b. Find the p-value for the test and use it to perform the test in part a.c. How would you, as the quality control manager, report the results of your study to a consumer interest group?
Answer:
There is sufficient statistical evidence to suggest that the average weight of the ground beef packaged in small trays is 1 pound
Step-by-step explanation:
Here we have to perform a t-test
Mean = Sample mean = 1.04 lb
μ = Population mean = 1 lb
s = Standard deviation of 0.19
n = Sample size = 45
Null hypothesis H₀ = 1
Alternative hypothesis Hₐ > 1
Therefore from
[tex]t=\frac{\bar{x}-\mu }{\frac{\sigma }{\sqrt{n}}}[/tex] we have
t = 1.412
Critical t at 5% confidence level = 1.68
at 5 % confidence level we obtain the probability P is;
P = 0.0825 > 0.05 Therefore we accept our null hypothesis that the average weight of ground beef per pack is 1 pound.
You deposit $200 in an account earning 3.5% simple interest. How long will it take for the balance of the account to be $249? Write down the formulas you are going to use.
Answer:
7 years
Step-by-step explanation:
Simple interest is given by
I = PRT where I is the interest, P is the principle r is the rate and t is time
If we have 249 in the account and started with 200,
the interest is 249-200 = 49
The principle is 200 and the rate is 3.5% or in decimal form .035
Putting into the equation
49 = 200 (.035) t
49 =7t
Divide each side by 7
49/7 = 7t/7
7 =t
It will take 7 years
Answer:
7 years
Step-by-step explanation:
I = P×r×t
I = 249 - 200 = 49
49 = 200 × (3.5/100) × t
t = 49/7
t = 7
A glass marble has a diameter of 17 millimeters. What is the approximate volume of the marble? Use 3.14
Answer:
v=2571.13667 mm^3
Step-by-step explanation:
A marble is a sphere, and the volume of a sphere can be found using:
[tex]v=\frac{4}{3} \pi r^3[/tex]
We need to find the radius, and we know that the radius is 1/2 of the diameter
r=d/2
r=17/2
r=8.5
Now we can substitute 8.5 in for r, and 3.14 in for pi
[tex]v=\frac{4}{3} (3.14)(8.5^3)[/tex]
[tex]v=\frac{4}{3} (3.14)(614.125)[/tex]
[tex]v=\frac{4}{3}(1928.3525)[/tex]
[tex]v=2571.13667 mm^3[/tex]
The volume of a glass marble with a diameter of 17 mm is approximately 2600 mm³ (2.6 cm³) when computed using the formula V = (4/3) πr³ and 3.14 as the value for π, with the final result rounded to two significant figures.
Explanation:To calculate the volume of a glass marble with a diameter of 17 millimeters using 3.14 as the value of π (pi), we use the formula for the volume of a sphere, which is V = (4/3) πr³.
First, we need to find the radius of the marble, which is half the diameter. The diameter is 17 mm, so the radius is 17 mm ÷ 2 = 8.5 mm. Substituting the radius into the volume formula, we get V = (4/3) × 3.14 × (8.5 mm)³.
Calculating the radius to the third power, (8.5 mm)³ = 614.125 mm³. Multiply this by 3.14: 614.125 mm³ × 3.14 = 1928.3525 mm³. Then multiply by 4/3: × (4/3) = 2571.1367 mm³. Since the measured value of volume is limited by the number of significant figures, we need to round this to two significant digits. Therefore, the approximate volume of the marble is 2600 mm³ (2.6 cm³) after rounding off. Please note that the measured value of 17 mm only has two significant figures, so the final answer must also reflect this limitation.
True or False? You can represent the distance of an object underground using negative numbers.
Answer:
True
Step-by-step explanation:
Randy charges his tenants $425 each month to rent his house plus a $600 5
security deposit (you only pay this 1 time). What equation best represents
how much his tenants will have to pay?*
Answer:
y = 425x + 600
Step-by-step explanation:
So x is the months, 425 is how much he pays a month, also, 600 is the extra one time payment.
It is rare to prove a hypothesis as incorrect through experimentation. Please select the best answer from the choices provided T F
9514 1404 393
Answer:
F
Step-by-step explanation:
A hypothesis is usually proven incorrect when it fails to explain an observation. The offered statement is False. Experimentation is the most common way a hypothesis is proven incorrect.
Answer:
f
Step-by-step explanation:
A square with center point C has a radius of 6 cm. Find the area of the square.
The area of a square given its radius is [tex]144 cm^2[/tex]
To find the area of a square when given the radius of a circle inscribed in the square, we need to use the diameter of the circle, which is twice the radius, to determine the side length of the square.
The radius provided in this question is 6 cm.
The area of a square can be found using the formula: [tex]A = side^2.[/tex]
In this case, since we're given the radius, we need to calculate the side length first, which is 2 * radius.
Therefore, side length = 2 * 6 cm = 12 cm.
Now, calculate the area: A = 12 cm * 12 cm = [tex]144 cm^2[/tex]
Write the ratio as a fraction: 630 kilometers in 5 hours. Simplify your answer.
The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1.
What is a fraction?In such a fraction, the value that appears above the horizontal line is referred to as the numerator.
The fraction is the division of the two numbers but the division is not wholly complete.
Given that,
630 kilometers ⇔ 5 hour
Divide both sides by 5
630/5 kilometers ⇔ 5/5 hour
126 kilometers ⇔ 1 hour
The ratio of kilometers to an hour in fraction form ⇒ 126/1
Hence "The ratio of distance to time gives velocity thus a fraction of the ratio of 630 kilometers in 5 hours is 126/1".
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Yesterday, Craig's Doughnut Shop sold 1 3/4 times as many chocolate doughnuts as cinnamon doughnuts. If they sold 3 2/5 trays of cinnamon doughnuts, how many trays of chocolate doughnuts did they sell?
Answer:
The answer is 3 3/10
Step-by-step explanation:
1 3/4 × 3 2/5 can be solved by 1×3 and 3/4 × 2/5. That makes 3 3/10
A truck has a trailer that has a length of
7m, a width of 2m and a height of 4m.
What is the volume of the trailer?
Answer:
56m cubed
Step-by-step explanation:
7m×2m×4m=56m
triangle DEF contains two congruent acute angles. The sum of the measures of the two
congruent acute angles is greater than 90 degrees. Anna concludes that the triangle must be an acute triangle. Which best describes her conclusion?
Anna is correct. The remaining angle of the triangle measures less than 90 degrees.
Acute angles:Acute angles are those angles that measure less than 90 degrees. Since Triangle DEF contains 2 congruent acute angles. So, This means each of those 2 acute angles in the triangle are less than 90 degrees.Learn more about the triangle here; https://brainly.com/question/25813512?referrer=searchResults
Answer: b. She is correct. The remaining angle of the triangle measures less than 90 degrees.
Step-by-step explanation: edge 2022
A project manager has determined that 3/10 of the work for a project was completed in 9 days. How many more days
will it take to finish the project if the work continues to progress at the same rate?
If 3/10 of the project was completed in 9 days, then the total project takes 30 days to complete. Therefore, it will take 21 more days to finish the remaining work.
Explanation:The given problem involves a basic understanding of ratios and proportions, specifically applied to the concept of time and work. We know from the problem that 3/10 of the work was completed in 9 days. If that amount of work represents 3/10, then 1 whole or the complete work would be (10/3) times that much. We can set up the proportion as follows: 3/10 = 9/x. Solving for x gives us x = (10/3) * 9 = 30 days. So, at the same rate of work, it will take 30 days to complete the project. However, since 9 days of work have already been done, the project can be finished in 30 - 9 = 21 more days.
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If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them was at the 80% confidence level and the other was at the 90% level, which of the following statements is true? Group of answer choices The margin of error is larger in the 90% CI than in the 80% CI. The margin of error is the same in the 90% CI as it is in the 80% CI. The margin of error is smaller in the 90% CI than in the 80% CI. There is not enough information to determine which of the above statements is true.
Answer: The margin of error is larger in the 90% CI than in the 80% CI.
Step-by-step explanation:
Confidence interval is written as
Sample mean ± margin of error
Margin of error = z × population standard deviation/number of samples
The z score for a 90% confidence level(1.645) is higher than the z score for a 80% confidence level(1.282)
If all other parameters(sample size and population standard deviation) remain the same, then the true statement is
The margin of error is larger in the 90% CI than in the 80% CI.
Option(A) The margin of error is larger in the 90% confidence interval than in the 80% CI because as the confidence level increases, a wider interval is required to maintain more certainty that it encompasses the true population parameter.
If we take samples from normal populations and construct two confidence intervals (CI) for which the only difference is that one of them is at the 80% confidence level and the other is at the 90% confidence level, the margin of error is larger in the 90% CI than in the 80% CI. This is because the margin of error (EBM) depends on the confidence level. A higher confidence level requires a wider interval to ensure that it captures the true population parameter with more certainty.
To construct a confidence interval, we use the form (point estimate − margin of error, point estimate + margin of error), where the margin of error depends on the confidence level and the standard error of the mean. Thus, as the confidence level increases from 80% to 90%, the margin of error needs to increase as well, resulting in a wider interval. This can be observed by comparing the 90 percent confidence interval to a 99 percent confidence interval, where the latter is wider because it leaves out less of the distribution in the tails and hence contains more of the normal distribution's probability.
The height of the tide in a small beach town is measured along a seawall. Water levels oscillate between 7 feet at low tide and 15 feet at high tide. On a particular day, low tide occurred at 7:30 AM and high tide occurred at 1:00 PM.
Question:
Write a cosine function of the form f(t)= Acos(Bt) where A and B are real numbers that models the water level f(t) as a function of time measured in t hours since 8:30 a.m.
Answer:
The equation of the cosine function that models the water level as a function of time is;
[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex]
Step-by-step explanation:
From the required equation, we have for a wave form
f(t) = A·cos(B·t)
A = Amplitude of the wave
B = The period of the wave
t = Time of wave
The period can be derived as follows
We have 7:30 to 1:00 is 5.5 hrs, therefore one full cycle occurs in 11 hours
The period is given by;
[tex]Period = \frac{2\pi }{B}[/tex]
Therefore,
[tex]\frac{2\pi }{B} = \frac{13}{1}[/tex] so that
[tex]The \, period \, B = \frac{2\pi }{13}[/tex]
The amplitude is given as the maximum displacement from the position at rest. Therefore, the amplitude = (15 - 7)/2 = 4 feet
Therefore the equation of the cosine function that models the water level as a function of time is;
[tex]f(t) = -4\times cos(\frac{2\pi }{13} t)[/tex].
Esther needs a bin for her hair bows. A yellow bin has a length of 11.4 inches, a width of 4.2 inches, and a height of 8/3 inches 9 inches. A red bin has a length of 9 inches, a width of 5.45 inches and a height of 11/5 inches. What is the volume of the bin with the greatest volume? Explain your answer.
Answer:
red bin
Step-by-step explanation:
will award brainliest if correct
for the area of the smaller semicircles
area = 1/2 x 3.142 x 5 x 5
area = 39.275cm²
for the larger circle
area = 1/2 x 3.142 x 10x 10
area= 157.1cm²
but since part of it is out and is replaced again
..total area of shaded part is 157.1cm² + 39.275cm² - 39.275cm²
area =157.1cm²
Can someone do this for me and if so marking brainliest. Urgent
Answer:
1. 1/3, 4
2. 3/5, -2
3. 4, 1
4. -3/2, 3
5. 1, 4
Step-by-step explanation:
- The slope is x and to find it do (rise over run) for example 5/3, but since it is done for you that is not needed. That was just a reference.
- The y-intercept is where the number hits the y-axis when at 0.