Answer:
23.6
Step-by-step explanation:
I hope it's correct
which point of the number line represents negative 4/5?
A
B
C
D
Answer:
the answer is A
Step-by-step explanation:
Ellen walks 0.75 mile to school each day. She stops
to get breakfast after completing 60% of her walk
How far has Ellen walked when she stops for
breakfast?
If 6 = m/8,
What does "m" equal?
Answer:
48
Step-by-step explanation:
Hello :)
To solve this question, we need to isolate the variable m.
6=m/8
To get rid of 8, we can multiply 8 both sides to get rid of it.
8x6=m
48=m
Answer:
48 = mStep-by-step explanation:
6 = m/8[Multiply 8 both sides to isolate the variable]
=> 8 x 6 = m/8 x 8[Final Answer]
=> 48 = mHence, the value of m is 48.
Solve: (x - 10)² + 10 = 100
Square Roots and Completing the Square.
Answer:
Below
Step-by-step explanation:
(x-10)^2 = 90 sqrt both sides
x-10 = ± sqrt (90)
x = 10 ± sqrt (90)
Bastien, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon of gasoline in highway driving. The company has developed a more efficient engine for its small cars and now advertises that its new small cars average more than 50 miles per gallon in highway driving. An independent testing service road-tested 36 of the automobiles. The sample showed an average of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon. The population standard deviation is 6 miles per gallon.
Required:
a. State the hypotheses.
b. What is the p-value associated with the sample results? With a 0.05 level of significance, test to determine whether or not the manufacturer's advertising campaign is legitimate.
Using the z-distribution, we have that:
a)
\(H_0: \mu = 50\)\(H_1: \mu > 50\)b) Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.
Item a:
At the null hypothesis, it is tested if the mean is still of 50 miles per gallon, that is:
\(H_0: \mu = 50\)
At the alternative hypothesis, it is tested if the mean has increased, that is:
\(H_1: \mu > 50\)
Item b:
We have the standard deviation for the population, hence, the z-distribution is used to solve this question.
The test statistic is given by:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
The parameters are:
\(\overline{x}\) is the sample mean. \(\mu\) is the value tested at the null hypothesis. \(\sigma\) is the standard deviation of the sample. n is the sample size.Hence, the values of the parameters are:
\(\overline{x} = 51.5, \mu = 50, \sigma = 6, n = 36\)
Hence, the value of the test statistic is:
\(z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}\)
\(z = \frac{51.5 - 50}{\frac{6}{\sqrt{36}}}\)
\(z = 1.5\)
Using a z-distribution calculator, with a right-tailed test, as we are testing if the mean is greater than a value, with z = 1.5, the p-value is of 0.0668.
Since the p-value of the test is of 0.0668 > 0.05, there is not enough evidence to conclude that the manufacturer's advertising campaign is legitimate.
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Hi guys, do you know where i can get multi choice maths questions for year 9 ?? thanks guys
multiply the binomials (2x+1)(3x+2)
The Answer is (6x^2+7x+2)
Use the FOIL method
One angle of a parallelogram measures 90°. What are the measures of the other three angles in the parallelogram?
All the others are 90 degrees too
Step-by-step explanation:
In a parallelogram opposite angles are congruent. Also in a quadrilateral the sum of angles is 360 degrees. since their are two pairs of congruent angles you could make an equation and it would look like this: 180+2x =360. x would be 90 making every angle 90 degrees.
Hope it helps :)❤
please guys correct answers!
Answer:
4t*4t*4t*4t*4t
Step-by-step explanation:
let C be the curve y=5sqrtx for 1.1
We can integrate this S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
We have,
To find the surface area of the revolution about the x-axis of the function f(x) = 5√x over the interval (1.1 to 4.4), we can use the formula for the surface area of revolution:
S = ∫(a to b) 2πy√(1 + (f'(x))²) dx
In this case,
f(x) = 5√x, so f'(x) = (d/dx)(5√x) = 5/(2√x).
Let's calculate the surface area:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + (5/(2√x)²) dx
Simplifying the expression inside the integral:
S = ∫(1.1 to 4.4) x 2π(5√x)√(1 + 25/(4x)) dx
Next, we can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
To find the surface area of revolution about the x-axis of the function
f(x) = 5√x over the interval (1.1 to 4.4), we need to evaluate the integral:
S = ∫(1.1 to 4.4) 2π(5√x)√(1 + 25/(4x)) dx
Let's calculate the integral:
S = 2π ∫(1.1 to 4.4) (5√x)√(1 + 25/(4x)) dx
To simplify the calculation, let's simplify the expression inside the integral first:
S = 2π ∫(1.1 to 4.4) (5√x)√((4x + 25)/(4x)) dx
Next, we can distribute the square root and simplify further:
S = 2π ∫(1.1 to 4.4) (5√(4x + 25))/(2√x) dx
Thus,
We can integrate this expression over the given interval (1.1 to 4.4) to find the surface area.
We can evaluate the integral using numerical methods or a calculator to find the final answer.
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If 18% of a $3,200.80 monthly net income is allotted for clothing, how much money is allotted for clothing in one year?
Answer:
Step-by-step explanation:
18% of $3200.80 = $576.144.
$576.144 is for one month. So, for a year is 12 * $576.144 = $6913.728.
what translation was the similarity moved through ?
ABC~A'B'C'. Their scale factor is 7:9. If the perimeter of smaller ABC is 42, then the
perimeter of A'B'C' is.
Pls hurry!!
Answer:
54
Step-by-step explanation:
ratio is 7:9
7=42
9=?
9×42÷7
Let g(x) be the indicated transformation of f(x) = −|3x| − 4. Stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3 and reflect it across the x-axis. Identify the rule and graph of g(x).
The final rule for g(x) is g(x) = 3|3x| + 12.
To stretch the graph of f(x) = −|3x| − 4 vertically by a factor of 3, we multiply the function by 3. This will result in a vertical stretching of the graph.
So, the rule for g(x) is g(x) = 3f(x).
Now, let's find the expression for g(x) using the given function f(x) = −|3x| − 4:
g(x) = 3f(x)
g(x) = 3(-|3x| - 4)
g(x) = -3|3x| - 12
This is the expression for g(x), which represents the transformed graph.
To reflect the graph of g(x) across the x-axis, we change the sign of the function. This means that the negative sign in front of the absolute value will become positive, and the positive sign in front of the constant term will become negative.
Therefore, the final rule for g(x) is g(x) = 3|3x| + 12.
Now, let's consider the graph of g(x). The graph will have the same shape as f(x), but it will be stretched vertically by a factor of 3 and reflected across the x-axis.
The original graph of f(x) = −|3x| − 4 is a V-shaped graph that opens downward and passes through the point (0, -4). The transformed graph of g(x) will have a steeper V-shape, opening downward, and passing through the point (0, 12) instead of (0, -4).
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Which statement is true about the points shown on the number line?
Option B is a correct representation of the given number line, -3.8 < 1.5, and is located to the left of 1.5.
What is a number line?A number line is a visual depiction of numbers on a straight line drawn either horizontally or vertically. It is simple for humans to compare numbers and carry out simple arithmetic operations on them when they are written down on a number line. A number line is thought to begin at zero (0). Left of zero, there are only negative numbers, and right of zero, there are only positive numbers.
Given a number line and two points marked on it,
-3.8 and 1.5
we find from the number line that -3.8 lie left to 1.5,
and the negative numbers are always less than the positive numbers,
so -3.8 is less than 1.5,
-3.8 < 1.5, and lie left to 1.5.
Hence, option B is correct.
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If ƒ (x ) = 3x2 - x, find ƒ (-2).
Answer:
answer is 4.......
Step-by-step explanation:
....
Assume that by contributing your education you increase your yearly earning potential from 21,484 to 39,746 if the additional education cost $36,000 in about many years, will a it pay for itself
Yes, the additional education costing $36,000 will pay for itself in less than 2 years based on the increased earning potential.
To determine whether the additional education costing $36,000 will pay for itself, we need to consider the time it takes to recover the investment through the increased earning potential.
The additional yearly earning potential is the difference between the post-education income ($39,746) and the pre-education income ($21,484), which is $18,262.
To calculate the payback period, we divide the cost of education ($36,000) by the annual increase in earning potential ($18,262).
Payback Period = Cost of Education / Annual Increase in Earning Potential
Payback Period = $36,000 / $18,262
The payback period is approximately 1.97 years, meaning that it would take approximately 1.97 years to recover the cost of education through the increased earning potential.
If the time required to recover the cost is less than the time in which the increased earning potential will be realized, then the additional education would be considered to have paid for itself.
In this case, since the payback period is less than 2 years and the increased earning potential will continue for subsequent years, it can be concluded that the additional education costing $36,000 will pay for itself over time.
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Help with the following equation 8x²-6x-5=x
Answer:
\(8 {x}^{2} - 6x - 5 = x\)
\(8 {x}^{2} - 7x - 5 = 0\)
x = (7 + √((-7)^2 - 4(8)(-5)))/(2×8)
= (7 + √(49 + 160))/16
= (7 + √209)/16
= -.4661, 1.3411 (to 4 decimal places)
At age 20, someone sets up an IRA (individual retirement account) with an APR of 5%. At the end of each month he deposits $65 in the account. How much will the IRA contain when
←he
retires at age 65? Compare that amount to the total deposits made over the time period.
After retirement the IRA will contain $ 131,718.42
(Do not round until the final answer. Then round to the nearest cent as needed.)
The total deposits made over the time period is $
(Type a whole number)
CETT
Answer:
total deposits: $35,100
Step-by-step explanation:
You have the value of an annuity earning 5% with payments of $65 a month for 45 years as $131,718.42. You want to know the total value of payments.
Payments12 payments per year of $65 for 45 years will have a total value of ...
12·65·45 = 35100
Total deposits will be $35,100.
A rectangular tank 80 cm wide by 100 cm long by 60 cm high is filled up with water up to of its height. Water is then poured into the tank until it is 3 filled with 384 € of water. Find the amount of water that was poured the tank. Give your answer in litres.
Answer:
0 liters
Step-by-step explanation:
The first step in solving this problem is to find the volume of water that was originally in the tank when it was filled up to of its height. Since the tank is rectangular, we can use the formula for the volume of a rectangular prism:
Volume of tank = length x width x height = 100 cm x 80 cm x 30 cm = 240,000 cm³
Since the tank was filled up to of its height, the volume of water in the tank at this point is:
Volume of water in tank = 100 cm x 80 cm x 30 cm x 0.5 = 1,200,000 cm³
To find the amount of water that was poured into the tank to fill it up to 3 of its height, we need to subtract the volume of water that was originally in the tank from the total volume of water when it is 3 filled, which is 384 liters or 384,000 cm³ (since 1 liter = 1000 cm³):
Volume of water poured into tank = Volume of water when 3 filled - Volume of water in tank at of its height
= 384,000 cm³ - 1,200,000 cm³
= -816,000 cm³
Wait a minute, this result is negative, which means there was no water poured into the tank to reach the 3 filled level. In fact, it suggests that there was an excess of water that had to be removed from the tank to reach the desired level. This could be because the dimensions of the tank were not exact or because the tank was not level when filled to the first level.
Therefore, the answer to the problem is 0 liters or 0 cm³.
Note: It is important to always check the result of a calculation to ensure it makes sense in the context of the problem. In this case, the negative volume of water poured into the tank indicates that there may be an error in the problem statement or in the measurements provided.
Can you simplify 8/18
Answer:
\(\frac{4}{9}\)
Step-by-step explanation:
Find the GCF of 8 and 18. This is 2.Divide 8 by 2. This is 4, the numerator.Divide 18 by 2. This is 9, the denominator.Reassemble it into a fraction. This will be \(\frac{4}{9}\).What is the approximate area of the shaded sector in the circle shown below
A. 283 cm
B. 31.4cm2
C. 565cm2
D. 15.7 cm2
Answer:
Option A. 283 cm²
Step-by-step explanation:
to find the area of the shaded sector, we use the formula:
\(\frac{\text{angle given}}{360^\circ}\times \text{area of the circle}\)
where area of the circle = πr²
∴ for the given circle,
\(\text{Area of the sector}=\frac{\text{given angle}}{360^\circ} \times \pi r^2\)
= \(\frac{100}{360}\times 3.14\times 18\times 18\)
= \(\frac{100}{360}\times 1017.36\)
= 282.6
≈ 283 cm²
The approximate area of the shaded sector is 283 cm².
what is the sum 3/x+9+5/x-9
Answer:
\(\frac{8}{x}\)
Step-by-step explanation:
what is the sum 3/x+9+5/x-9
\(\frac{3}{x} + 9 + \frac{5}{x} - 9 =\) (add \(\frac{3}{x}\) and \(\frac{5}{x}\))
\(\frac{8}{x} + 9 - 9 =\) (solve 9 - 9 = 0)
\(\frac{8}{x}\) ( your answer)
help me please i will give 50 pts and a brainiest
Answer:
14 Feet
Step-by-step explanation:
Answer:
14 is the answer
140/10=14
hope this helps
have a good day :)
Step-by-step explanation:
this week mr wooten spent $30 for hot dogs and supplies. he earned $18. did he make money or did he loose money this week
Answer:
lost 12
Step-by-step explanation:
The perimeter of the figure below is 112.8 m. Find the length of the missing side.
Answer: 6.6 m
Add known sides and subtract the sum from the given perimeter.
Answer:
6.6 m
Step-by-step explanation:
33.8 + 2(14.1) + 3(9.1) + 16.9 = 106.2
112.8 - 106.2 = 6.6
75.5% of the students at Sarasota Community College are from in state. If 24,950 students are from in state, how many students attend the college?
Answer:
33046 students
Step-by-step explanation:
Find how many students attend the college by dividing 24,950 by 0.755
24,950 / 0.755
= 33046.36
Round down, since the answer has to be a whole number:
33046.36
= 33046
So, approximately 33046 students attend the college
Identifying the Parts of an Angle
HELP NEEDED!! QUESTION BELOW
Answer:
A
Step-by-step explanation:
The values will increase because the multiplier is greater than 1 (1.05).
For Field Day, the 72 students in fourth grade will be divided into tears with the same number of students on each team. The 60 students in third grade will be divided into teams that each have the same number of students as the fourth grade teams. What is the largest number of students that a team could have? Help meeee