A panel on the inside of a cab is measured to be 16.25 in by 8.13 in the plan shows that this panel is supposed to have an area of 128 in2 what is the percentage are in the area of this panel
Answers
Answer:
3.21%
Step-by-step explanation:
The panel is measured to be 16.25 in by 8.13 in.
The actual plan shows that the panel is supposed to have an area of \(128$ in^2\).
We are to determine the percentage error in the area of the panel.
\(\text{Percentage Error}=\dfrac{\text{Wrong Value-Actual Value}}{\text{Actual Value}} \times 100\)
Wrong Area of the Panel = 16.25 X 8.13 =\(132.1125$ in^2\)
Actual Area = \(128$ in^2\).
\(\text{Percentage Error}=\dfrac{132.1125-128}{128} \times 100\\=\dfrac{4.1125}{128} \times 100\\=3.21\%\)
The percentage error in the area of the panel is 3.21%.
Related Questions
In circle with m EFG = 58 and EF = 6 units, find the length of arc EG. Round to the nearest hundredth.
Answers
The length of arc EG is approximately 7.35 units.
To find the length of arc EG, we need to use the formula:
length of arc = (central angle/360°) × 2πr
where r is the radius of the circle and the central angle is in degrees.
We are given that m∠EFG = 58°, and EF = 6 units. Since EF is a chord of the circle, we can use the chord-chord angle theorem to find that m∠EGF = ½(180° - 58°) = 61°.
Now, we can use the Law of Cosines to find the length of GE:
GE² = EF² + FG² - 2(EF)(FG)cos(∠EGF)
GE² = 6² + FG² - 2(6)(FG)cos(61°)
Since FG = 2r (because it is the diameter of the circle),
GE² = 36 + (2r)² - 12r cos(61°)
We can simplify this to:
GE² = 4r² - 12r cos(61°) + 36
GE² = 4(r² - 3r cos(61°) + 9)
Now, we can use the formula for the length of the arc:
length of arc EG = (m∠EGF/360°) × 2πr
length of arc EG = (61/360) × 2πr
length of arc EG = (61/180) × πr
Substituting the expression for GE² in terms of r, we get:
length of arc EG = (61/180) × π √[4(r² - 3r cos(61°) + 9)]
We can now use a calculator to find the approximate value of the length of arc EG.
Rounded to the nearest hundredth, the length of arc EG is approximately 7.35 units.
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WILL BRAINLIEST IF ANSWERED UNDER 3 MINUTES!
A football team has an away game, and the bus breaks down. The coaches decide to drive the players to the game in cars and vans. Four players can ride in each car. Six players can ride in each van. There are 48 players on a team. The equation 4x + 6y = 48 models this situation, where x is the number of cars and y is the number of vans.
Find 4 possible solutions in the context of the problem.
Answers
Answers:
(0, 8)
(3, 6)
(6, 4)
(12, 0)
There are infinitely many answers to pick from. All that matters is that they are on the line 4x+6y = 48
=====================================================
Explanation:
Plug in x = 0 and solve for y to get y = 8. That means we can have 0 cars and 8 vans.
Plug in y = 0 and solve for x to get x = 12. So we could have 12 cars and 0 vans.
----------
That takes care of two possible solutions, but we need 2 more.
Here's how to get more solutions. Start at the point (0,8). Then we'll use the slope to help get to another point. The slope here is -4/6 = -2/3, so we go down 2 and over to the right 3.
Starting at (0,8) and going down 2 and to the right 3 has us land on (3,6) which is another solution. I'll let you confirm if (x,y) = (3,6) works in the equation or not. This solution tells us we could have 3 cars and 6 vans.
Then from (3,6) we do another "down 2, right 3" motion to land on (6,4) which is yet another solution. In this case, we have 6 cars and 4 vans.
We can stop here since we have four solutions now.
A rectangle has a area of 50 cm squared if each sides lenght is doubled what is the new area.
Answers
Answer:
200 cm^2
Step-by-step explanation:
1. the side lengths are 10 and 5
2. double
3. 20*10 = 200
Sara buys 2 pounds of grapes every
8
week for 12 weeks. How many pounds of
grapes did Sara buy over the 12 week
period?
Answers
Answer:
I think 24 weeks that's my answer
Factor the expression completely. -12x - 24
Answers
Answer:
- 12(x + 2)
Step-by-step explanation:
- 12x - 24 ← factor out the common factor of - 12 from each term
= - 12(x + 2)
for each of the following, show that the differential form is not exact, but becomes exact when multiplied through by the given integrating factor
Answers
To determine if a differential form is exact, we need to check if its partial derivatives satisfy the condition of equality. If the differential form is not exact, we can multiply it by an integrating factor to make it exact.
Given a differential form of the form M(x, y)dx + N(x, y)dy, we can determine if it is exact by checking if ∂M/∂y = ∂N/∂x. If this condition is not satisfied, the differential form is not exact. However, we can multiply the differential form by an integrating factor to make it exact.
By multiplying the original differential form by an integrating factor, which is usually a function of either x or y, the resulting form will have equal partial derivatives, satisfying the condition for exactness. The integrating factor effectively "corrects" the form and makes it exact.
By finding the appropriate integrating factor and multiplying it with the given differential form, we can transform it into an exact form. This process is a fundamental technique in solving certain types of differential equations and allows us to find solutions that would otherwise be challenging to obtain.
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Identify the interval(s) on which the function y = -x2 + 5x + 14 is positive.
A.) X < -2 and x > 7
B.) X > 2 and x < -7
C.) -7 < x < 2
D.) -2 < x < 7
Answers
Given:
\(y=-x^2+5x+14\)
To find:
The interval on which the given function is positive.
Solution:
We have,
\(y=-x^2+5x+14\)
Splitting the middle term, we get
\(y=-x^2+7x-2x+14\)
\(y=-x(x-7)-2(x-7)\)
\(y=(x-7)(-x-2)\)
\(y=-(x-7)(x+2)\)
Using zero product property, we get
\(x-7=0\text{ and }x+2=0\)
\(x=7\text{ and }x=-2\)
-2 and 7 divide the number line is three interval.
Interval Signs of \(y=-(x-7)(x+2)\) Result
(-∞,-2) (-)(-)(-) Negative
(-2,7) (-)(-)(+) Positive
(7,∞) (-)(+)(+) Negative
So, the function is positive for the interval (-2,7), i.e., -2 < x < 7.
Therefore, the correct option is D.
Y’all in need help. I can’t not finger it out
Answers
9514 1404 393
Answer:
E, D, A, C, B
Step-by-step explanation:
It is all about rounding.
To estimate the product, round each value to 1 significant figure. For example, 46.7 rounds to 50, and 31.7 rounds to 30. The estimate of the product will be the product of these rounded values: 50·30 = 1500.
__
Top to bottom, the appropriate estimates are ...
E, D, A, C, B
where the right-side choices are given letters A-E, top to bottom.
Write an equation with a slope of -2 and a y-intercept of 3
a y= -2x+3
b y= 3x-2
c both
d neither
Answers
Answer:
C. Both
Step-by-step explanation:
sana nakatulong
Nick is splitting 4 quarts of ice cream with 9 members of the team. If the ice cream is split evenly, how many cups will each person get? Explain1 quart equals _ pints, which equals _ cups, so 4 quarts equals _ cups. Dividing the ice cream among _ people means each gets _ cup(s)
Answers
ANSWER
\(\text{1}\frac{7}{9}\text{ cups}\)EXPLANATION
Nick has 4 quarts of ice and he wants to split it with 9 members of the team.
To solve this, we have to convert quarts to cups. We have that:
1 quart = 2 pints
and
1 pint = 2 cups
This means that:
1 quart = 2 * 2 cups
1 quart = 4 cups
So, 4 quarts will be:
4 quarts = 4 * 4 cups
4 quarts = 16 cups
Therefore, dividing the ice cream among 9 people would mean that we have to divide 16 cups by 9 people.
That is:
\(\begin{gathered} \frac{16}{9} \\ =\text{ 1}\frac{7}{9}\text{ cups} \end{gathered}\)The complete statement is:
1 quart equals 2 pints, which equals 4 cups, so 4 quarts equals 16 cups. Dividing the ice cream among 9 people means each gets 1 7/9 cup(s)
I'm trying to find this answer but I just can't get it right.
If you'd answer this question for me thank you so much, all of you!
6 : 1 = 12 : ?
Answers
For instance,
1) Take the first number from the first ratio which is 6,
2) then you look at the second ratio and look at the first number which is 12
3) What multiples divide 12/6 (second ratio first number divided by first ratio first number) and you get 2.
2 is the answer.
What is √ 1 ii) What is √36 ii) What is -√25 x -√25
Answers
Answer:
\(\sqrt{1} ii=-1\\\sqrt{36} ii=-6\\-\sqrt{25} *-\sqrt{25} =25\)
Simplify the radical by breaking the radicand up into product of known factors/assuming positive real numbers
A zoo has the ratio to zebras (1 giraffe for every 4 zebras) What percent of this grouping of animals are giraffes? What percent of this grouping are zebras?
Answers
Answer:
20% of the animals are giraffes
80% of the animals are zebras
=====================================
Explanation:
Let's say there are 5 animals. This would mean there's 1 giraffe and 4 zebras, since we have four zebras per giraffe.
The percentage of giraffes is 1/5 = 0.20 = 20%
and the percentage of zebras is 4/5 = 0.80 = 80%
The requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
What are percentages?the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.
Here,
A zoo has the ratio to zebras (1 giraffe for every 4 zebras)
The total proportion of the zebras and giraffes = 5,
Percentage of giraffe = 1 / 5 × 100% = 20%
Percentage of zebras = 4 / 5 × 100% = 80%
Thus, the requried percentage of giraffes is 20% and the percentage of Zebras is 80%.
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Given the area of a triangle, find the two possible values of an angle. (Also two sides of the triangle is given). You can make up values to find it out.
Answers
Answer:
please give me free brainiest
Step-by-step explanation:
a / sin (α) = b / sin (β), so. β = arcsin [b * sin (α) / a] =. arcsin [14 in * sin (30°) / 9 in] =. arcsin [7/9] = 51.06°. From the theorem about sum of angles in a triangle, we calculate that γ = 180°- α - β = 180°- 30° - 51.06° = 98.94°. The triangle angle calculator finds the missing angles in triangle.
Step-by-step explanation:
8 is the quotient of a number g and 3.
Answers
So whats the question?
Answer:
g ÷3 =8
Step-by-step explanation:
Makayla was given a box of assorted chocolates for her birthday. Each night, Makayla treated herself to some chocolates. There were originally 12 chocolates in the box and after 2 nights, there were 8 chocolates remaining in the box. Write an equation for
C
,
C, in terms of
t
,
t, representing the number of chocolates remaining in the box
t
t days after Makayla's birthday.
Answers
Answer:
(2+2)-12
Step-by-step explanation:
9514 1404 393
Answer:
C = 12 -2t
Step-by-step explanation:
In two days, four chocolates were eaten, so at the rate of 2 per day. The initial number was 12, so the number remaining is ...
c = 12 -2t
If these two shapes are similar, what is the measure of the missing length g?
3 yd
9 yd
1 yd
g=yards
Submit
Answers
Answer:
g=3 yards
Step-by-step explanation:
Since the 3yd on the big triangle is reduced to 1 yd on the small triangle divide 9 by 3 to get the missing side length of 3 yards. Hope this helps :)
construct a geometric figure that illustrates why a line in r2 not through the origin is not closed under vector addition
Answers
A line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.
To illustrate why a line in ℝ² that does not pass through the origin is not closed under vector addition, we can consider the following example:
Let's take a line in ℝ² given by the equation y = x + 1, which does not pass through the origin (0, 0).
Now, suppose we have two vectors on this line: A = (1, 2) and B = (2, 3).
If we add these two vectors, A + B, we get (1, 2) + (2, 3) = (3, 5).
Now, let's examine the resulting vector (3, 5). Since the line y = x + 1 does not pass through the origin, (0, 0) is not on this line. However, (3, 5) lies on the line y = x + 1.
Therefore, the resulting vector (3, 5) is not on the original line y = x + 1.
This demonstrates that the line is not closed under vector addition because the addition of vectors from the line can result in a vector that is not on the line.
In conclusion, a line in ℝ² that does not pass through the origin is not closed under vector addition because vector addition can produce vectors that do not lie on the original line.
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Rent expense in Volusia Company's 2014 income statement is $420,000. If Prepaid Rent was $70,000 at December 31, 2013, and is $95,000 at December 31, 2014, the cash paid for rent during 2014 is:A. $480,000B. $445,000C. $395,000D. $420,000
Answers
As per the mentioned informations, the cash paid for rent during 2014 is calculated to be $395,000. So, the correct answer is option (C) i.e. $395,000.
To calculate the cash paid for rent during 2014, we need to use the information given in the problem and apply the following formula:
Cash paid for rent = Rent expense + Prepaid rent at the beginning of the period - Prepaid rent at the end of the period
Substituting the values given in the problem, we get:
Cash paid for rent = $420,000 + $70,000 - $95,000
Cash paid for rent = $395,000
Therefore, it can be concluded that the correct answer is (C) $395,000.
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the price of the four new tires changes from $638 to $523 find the percent of increase or decrease
A.18% decrease
B.18% increase
C. 22% decrease
D 22% increase
Answers
Step-by-step explanation:
To find the percent change in price of the four new tires, we can use the formula:
percent change = (new value - old value) / old value * 100%
Here, the old value is $638 and the new value is $523.
percent change = ($523 - $638) / $638 * 100%
percent change = -$115 / $638 * 100%
percent change = -0.18 * 100%
percent change = -18%
The result is a decrease of 18%, so the answer is A. 18% decrease.
Okay, let's solve this step-by-step:
Original price of 4 tires: $638
New price of 4 tires: $523
To calculate the percent change, we use the formula:
Percent Change = (New Price - Original Price) / Original Price
So in this case:
Percent Change = ($523 - $638) / $638 = -$115 / $638 = -0.18 = 18%
Since the new price is less than the original price, this is a decrease.
Therefore, the answer is A: 18% decrease
So the answer is A: 18% decrease
1. If f(x) = (3x-2)/(2x+3), then f'(x) =
Answers
Answer:
\(f'(x)= \frac{13}{(2x+3)^2}\\\)
Step-by-step explanation:
\(f(x)= \frac{3x-2}{2x+3} \\\)
\(f'(x)=\frac{dy}{dx} = \frac{d}{dx}(\frac{3x-2}{2x+3})\\ f'(x)= \frac{(2x+3)\frac{d}{dx}(3x-2)-(3x-2)\frac{d}{dx}(2x+3) }{(2x+3)^{2} } \\f'(x)= \frac{(2x+3)(3)-(3x-2)(2)}{(2x+3)^{2} } \\\)
\(f'(x)= \frac{6x+9-6x+4}{(2x+3)^{2} }\\ f'(x)= \frac{13}{(2x+3)^2}\\\)
Given f(x) = -6(8x - 4) + 20, what is the value of f(-5)?
Answers
Answer:
284
Step-by-step explanation:
Answer:
264
Step-by-step explanation:
-6[8(-5)-4]=
-6[-40-4]=
-6[-44]=
264
PLEASE HELP ME ASAP!!!!!!!!
ty :)
Answers
Answer:
(-2,2)
Step-by-step explanation:
Answer:
Step-by-step explanation:First u need to put Your 8 in the first spot and your 2 in the second
what does 1-3x=3x+1 equal
Answers
Answer:
\(1 - 3x = 3x + 1 \\ 3x + 3x = 1 - 1 \\ 6x = 0 \\ \\ x = \frac{0}{6} \\ \\ x = 0\)
I hope I helped you^_^
Answer:
x = 0
Step-by-step explanation:
1 - 3x = 3x + 1 ( subtract 3x from both sides )
1 - 6x = 1 ( subtract 1 from both sides )
- 6x = 0 , then
x = 0
differentiate. f(y) = 1 y2 − 3 y4 (y + 9y3)
Answers
Answer: To differentiate this function, we need to use the product rule and the chain rule.
First, we will simplify the function:
f(y) = (1/y^2 - 3/y^4) * y(y + 9y^3)
f(y) = (y + 9y^3) / y^3 - (3y + 27y^3) / y^5
f(y) = y^-3 * (y^4 + 9y^6 - 3y^4 - 27y^6)
f(y) = 6y^4 / y^3
f(y) = 6y
Now we can differentiate:
f'(y) = 6
Therefore, the derivative of f(y) is 6.
Using product rule and power rule of differentiation, the derivative of the function f(y) = 1/y² - 3/y⁴ * (y + 9y³) is f'(y) = 12/y⁷ - 6/y⁶ - 54/y⁵.
What is the differentiation of the function?To differentiate the given function,
We need to use product rule and the power rule of differentiation
use product rule to differentiate two terms in the function;
Let's consider the first term: 1/y²
The derivative of 1/y² with respect to y is:
d(1/y²)/dy = -2/y³
Now, let's consider the second term: -3/y⁴ * (y + 9y³)
The derivative of -3/y⁴ with respect to y is:
d(-3/y⁴)/dy = 12/y⁵
The derivative of (y + 9y³) with respect to y is:
d(y + 9y³)/dy = 1 + 27y²
Let's use product rule to differentiate the expression
Using the product rule, the derivative of the entire expression f(y) = 1/y₂- 3/y⁴ * (y + 9y³) is:
f'(y) = (1/y²) * (d(-3/y⁴ * (y + 9y³))/dy) + (-3/y⁴ * (y + 9y³)) * (d(1/y²)/dy)
Let's plug the value into the previous expression
f'(y) = (1/y²) * (12/y⁵) + (-3/y⁴* (y + 9y³)) * (-2/y³)
Simplifying further:
f'(y) = 12/y⁷ - 6(y + 9y³)/y⁷
= 12/y⁷ - 6(y/y⁷ + 9y³/y⁷)
= 12/y⁷ - 6/y⁶ - 54y²/y⁷
= 12/y⁷ - 6/y⁶ - 54/y⁵
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Robert has a number cube, a coin, and a (fair) spinner numbered 1 to 6.
What is the probability that Robert will roll a "3", land on tails, and spin an even number.
(3 independent events)
Answer:
A: 3/8
B: 5/24
C: 11/24
D: 1/24
Answers
1.) what is meant by the reliability of a measure? distinguish between true score and measurement error.
Answers
Reliability refers to the consistency or stability of a measure over time or across different raters or conditions. The true score and measurement error differs in consistency.
A measure is considered reliable if it produces consistent and accurate results. In other words, if the same measure is taken multiple times, it should yield similar results.
True score is the score that a person would receive if the measure was completely error-free and measured the construct perfectly. However, in reality, all measures have some degree of measurement error, which is the degree to which the obtained score differs from the true score due to factors such as random variation, observer bias, or test-taker factors.
To distinguish between true score and measurement error, imagine a target with a bull's eye at the center. The true score is the score that hits the bull's eye, indicating that the measure accurately captures the construct being measured.
Measurement error, on the other hand, is the deviation from the bull's eye caused by factors such as inconsistency, bias, or noise in the measurement process.
There are different types of reliability measures that aim to estimate the degree to which measurement error affects the scores obtained from a measure. Some of the most common types of reliability measures include test-retest reliability, inter-rater reliability, and internal consistency reliability.
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Jack walked up a hill at a speed of $(x^2-11x-22)$ miles per hour. Meanwhile, Jill walked a total distance of $(x^2-3x-54)$ miles in $(x 6)$ hours. If Jack and Jill walked at the same speed, what is that speed, in miles per hour
Answers
Jack and Jills' speed in miles per hour is 4
How to determine the speed in miles per hour?The given parameters are:
Jack speed = x^2-11x-22
Jill distance = x^2-3x-54 and time = x + 6
Speed is calculated as:
Speed = Distance/time
So, we have:
Jill speed = x^2-3x-54/x + 6
Factorize the numerator
Jill speed = (x + 6)(x - 9)/x + 6
Cancel the common factor
Jill speed = x - 9
Both speeds are equal.
So, we have:
x^2-11x-22 = x - 9
Collect like terms
x^2-11x - x -22 + 9 = 0
Evaluate
x^2 - 12x - 13 = 0
Factorize the expression
(x + 1)(x - 13) = 0
Solve for x
x = -1 or x = 13
x cannot be negative.
So, we have:
x =13
Substitute x =13 in Jill speed = x - 9
Jill speed = 13 - 9
Evaluate
Jill speed = 4
Hence, their speed in miles per hour is 4
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Riley is saving up to buy a new television. She needs a total of $1,161.59. Riley has saved $200.39 already and earns $80.10 per week at her job. How many weeks does Riley need to work to save enough money to buy the new television?
Answers
Answer:
12 weeks
Step-by-step explanation:
I will use x to describe the amount of weeks.
200.39 (amount already have) + 80.10x (amount per week) = 1161.59 (total amount needed)
Now, just solve for x.
80.10x = 961.2
x = 12
a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050. what is the standard error of the mean?
Answers
The standard error of the mean is $128.125
Given:
a random sample is made of 256 middle managers concerning their annual incomes. the sample mean is computed to be $35,420. if the population standard deviation is $2,050.
n = 256
σ = 2050
standard error = standard deviation / sqrt of n
= 2050/\(\sqrt{256}\)
= 2050 / \(\sqrt{16*16}\)
= 2050 / \(\sqrt{16^2}\)
= 2050/16
= 1025/8
= 128.125
Therefore The standard error of the mean is $128.125.
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