Answer:
Part A: 8(a+2c)
Part B: -56
5. A lock is a kind of staircase for boats. The boat lies in one lock chamber and the water level in this chamber is raised by pumping water into the chamber. One such particular chamber is 42 m long and 8.1 m wide (see picture). How much water is pumped into the chamber for one lift if the water level rises by 2.9 m? 42 m
986.58 cubic meters of water needs to be pumped into the chamber for one lift
How to find the volume of waterTo find the amount of water that needs to be pumped into the chamber for one lift, we need to find the volume of the chamber. the volume of the chamber can be calculated using the formula for volume which is
Volume = length × width × height
where
length = 42 m
width = 8.1 m and
height = 2.9 m.
Volume = 42 m × 8.1 m × 2.9 m
Volume = 986.58 cubic meters
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in binary system 100 + 101 = 1001. write decimal equivalent of the summand and sum.
Answer:
The summands are 4 and 5. The sum is 9.
Step-by-step explanation:
In the binary system, the digits, starting at the right and moving to the left are:
1's
2's
4's
8's
etc.
100 = 0 units + 0 2's + 1 four = 0 + 0 + 4 = 4
101 = 1 unit + 0 2's + 1 4's = 1 + 0 + 4 = 5
In decimal, the addition is:
4 + 5 = 9
The summands are 4 and 5. The sum is 9.
The decimal equivalent of the sum is 9.
It is required to write decimal equivalent of the summand and sum.
Why is binary system?Positional numeral system employing 2 as the base and so requiring only two different symbols for its digits, 0 and 1.It is used for representing binary quantities which can be represented by any device that has only two operating states or possible conditions.
Given:
In the binary system, the digits, starting at the right and moving to the left.
The binary numeral system or base-2 numeral system which represents numeric values using two different symbols: typically 0 (zero) and 1 (one). The base-2 system is a positional notation with a radix of 2.
1's 2's 4's 8's etc.
\(100\\\\0*2^{0} +0*2^{1}+1*2^{2}\\\\=0+0+4\\\\=4\)
\(101\\\\=1*2^{0} +0*2^{1} +1*2^{2} \\\\=1+0+4\\\\=5\)
In decimal, the addition is:
4 + 5 = 9
∴The summands are 4 and 5.
Therefore, the decimal equivalent of the sum is 9.
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The function y = -x + 4 has to main of {0.3,6). What is its range?
A (4, 1-2
B. (12.3.-6)
C. 4.5, 10)
D. {6. -3, -12)
Answer:
i think it's A if I'm wrong then wow
What is the slope-intercept equation for the linear function represented by the
table?
Answer: y= 3/2x - 6
Step-by-step explanation:
The equation is y=mx + b
The y-intercept is when x = 0, so on the table y-intercept = -6
The slope is rise/run, we see that y increase by three and x increase by 2, so the slope is 3/2
to get the slope of any straight line, we simply need two points off of it, let's use those ones in the picture below.
\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{3}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}} \implies \cfrac{3 +3}{4} \implies \cfrac{ 6 }{ 4 } \implies {\Large \begin{array}{llll} \cfrac{3 }{ 2 } \end{array}}\)
now, the y-intercept occurs when x = 0, recheck the picture below.
five program systems are prepared so that they work independently of each other. each system has a 0.3 chance of detecting an error. find the probability that at least one program system will detect an error. use 4 decimal places.
The probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).
How to find the probabilityGiven information:
five program systems are prepared so that they work independently of each other. Each system has a 0.3 chance of detecting an error.
Find the probability that at least one program system will detect an error. Use 4 decimal places.The probability of a system detecting an error is 0.3.
The probability of a system not detecting an error is 1 - 0.3 = 0.7.
Probability that none of the five systems detects an error is, P(error not detected in any of the five systems) = P(not detected in 1st) x P(not detected in 2nd) x ... x P(not detected in 5th) = 0.7 x 0.7 x 0.7 x 0.7 x 0.7 = 0.16807.
The probability that at least one system detects an error is, P(at least one system detects an error) = 1 - P(error not detected in any of the five systems) = 1 - 0.16807 = 0.8319 (approx).
Therefore, the probability that at least one program system will detect an error is 0.8319 (approx) or 0.832 (approx).
Hence, the correct option is 0.832.
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What is included in capital invested?
The capital includes :
Any financial contribution made to a business to assist in achieving and advancing its commercial goal is referred to as a capital investment. The phrase may also refer to a long-term purchase made by a company, such as one for land, equipment, businesses, etc.
When a corporation issues securities to equity investors and debt to bondholders, the total amount of debt and capital lease obligations are added to the amount of stock given to investors to determine the overall amount of money raised. This amount is referred to as invested capital. The balance sheet of the business does not include an item for invested capital because debt, capital leases, and stockholders' equity are all stated separately.
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How do I do scientific notation?
Answer:
Step 1: Move the decimal point so that you have a number that is between 1 and 10. ...
Step 2: Count the number of decimal places moved in Step 1 . ...
Step 3: Write as a product of the number (found in Step 1) and 10 raised to the power of the count (found in Step 2).
Step-by-step explanation:
what is the equation of the line that contains point (2, -6) and has a slope of -2
y= -2x + 10
y= -2x + 2
y= -2x - 2
y= -2x -10
Answer:
y=-2x+10
Step-by-step explanation:
i graphed it i graphed all of them
Answer:
y-2x-2
Step-by-step explanation:
The way I would do this is by first using the information given and making an equation in point-slope form, before bringing it to y=mx+b.
We know that the slope is -2, and we have a point, (2,-6). The formula for equations in point slope form is \(y-y_{1} =m(x-x_{1} )\). So, we can insert the given information into this formula to get \(y+6=-2(x-2)\).
Next, we distribute the slope to the the parenthesis to get \(y+6=-2x+4\)
Then, we subtract 6 from both sides to get \(y=-2x-2\)
Since this equation is now in the form \(y=mx+b\), the answer is \(y-2x-2\)
Hope this helps! :)
Write the formula for the derivative of the function. h(x)=19x 3
−8 x
(Hint: Rewrite x
=x 1/2
) h ′
(x)=
The derivative of the function h(x) = 19x^(3/2) - 8x is h'(x) = 57x^(1/2) - 8.
To find the derivative of the function h(x) = 19x^(3/2) - 8x, we can use the power rule and the constant multiple rule. First, let's rewrite the function by substituting x^(1/2) for x:
h(x) = 19(x^(1/2))^3 - 8(x^(1/2)
Now, applying the power rule, we have:
h'(x) = 19 * 3(x^(1/2))^(3-1) - 8 * 1(x^(1/2))^(1-1)
h'(x) = 57x^(1/2) - 8(x^(0))
Since x^(0) is equal to 1 for any nonzero x, we have:
h'(x) = 57x^(1/2) - 8(1)
h'(x) = 57x^(1/2) - 8
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The derivative of the function h(x) = 19x^3 - 8√x is h'(x) = 57x^2 - 4√(x). To find the derivative of the function h(x) = 19x^3 - 8√x, we can apply the power rule and chain rule of differentiation.
First, let's rewrite the function as h(x) = 19x^3 - 8x^(1/2).
To differentiate this function, we need to apply the power rule and chain rule. The power rule states that the derivative of x^n with respect to x is nx^(n-1).
Using the power rule, we differentiate each term of the function separately:
h'(x) = d/dx (19x^3) - d/dx (8x^(1/2))
For the first term, the power rule gives us:
d/dx (19x^3) = 3 * 19x^(3-1) = 57x^2
For the second term, we need to use the chain rule. The chain rule states that if we have a composite function, such as f(g(x)), the derivative is given by f'(g(x)) * g'(x).
In our case, the function is f(x) = -8x^(1/2), and g(x) = x. The derivative of f(x) with respect to g(x) is f'(g(x)) = -4√(x), and the derivative of g(x) with respect to x is 1.
Applying the chain rule, we have:
d/dx (8x^(1/2)) = -4√(x) * 1 = -4√(x)
Now we can substitute the derivatives back into the original expression:
h'(x) = 57x^2 - 4√(x)
Therefore, the derivative of the function h(x) = 19x^3 - 8√x is h'(x) = 57x^2 - 4√(x).
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the bakery department in a supermarket had sales last week of $15,349. if the department occupies 300 square feet of space, what were the department's sales per square foot for the week?
The department's sales per square foot are $51.16 per square foot.
What is division?Division is the process of dividing a number by a given number.
Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.
The sales per square foot are:
(total sales)/ (total area)
= 15349/300
= 51.16
Hence, the department's sales per square foot are $51.16 per square foot.
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2. what do you want the fuel efficiency of a car to be two years from now? explain.
The desired fuel efficiency of a car two years from now would ideally be improved compared to the current fuel efficiency.
There are several reasons why we would want the fuel efficiency of a car to be better in the future:
Environmental Concerns: Improving fuel efficiency helps reduce carbon emissions and minimize the environmental impact of vehicles. As the world becomes more conscious of climate change and the need to reduce greenhouse gas emissions, enhancing fuel efficiency plays a vital role in mitigating environmental damage.
Energy Conservation: Better fuel efficiency means using less fuel to travel the same distance. With finite energy resources and the need to conserve them, improving fuel efficiency helps reduce the overall energy consumption in transportation, leading to better resource management.
Cost Savings: Increasing fuel efficiency directly translates to lower fuel consumption and reduced expenses for car owners. With rising fuel prices, having a more fuel-efficient car can significantly cut down on fuel costs, saving money for individuals and businesses.
Technological Advancements: As technology progresses, advancements in engine design, aerodynamics, lightweight materials, and alternative energy sources enable the development of more fuel-efficient vehicles. Striving for improved fuel efficiency encourages innovation in the automotive industry, leading to the creation of more sustainable and eco-friendly transportation options.
Government Regulations: Many governments worldwide have implemented fuel efficiency standards and regulations to reduce fuel consumption and emissions. By meeting or exceeding these standards, car manufacturers contribute to a cleaner and more sustainable transportation sector.
Ultimately, aiming for improved fuel efficiency two years from now aligns with the global push for environmental sustainability, energy conservation, cost savings, technological advancements, and adherence to regulatory standards. It benefits both individuals and society as a whole by promoting a greener and more efficient approach to transportation.
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FILL IN THE BLANK. Analysis of variance is a statistical method of comparing the _____ of several populationsa. meansb. proportionsc. variancesd. standard deviations
The correct answer is a. means. Analysis of variance (ANOVA) is a statistical method used to compare the means of several populations or groups.
It determines whether there are statistically significant differences among the means of multiple groups based on the variation observed within and between the groups.
ANOVA is commonly used in various fields, such as experimental research, social sciences, and business, to assess the impact of different factors or treatments on a response variable. By comparing the means of multiple groups, ANOVA helps determine if there is evidence to suggest that the group means are different and not simply due to random chance.
Therefore, in the given context, the blank should be filled with "means" as ANOVA compares the means of several populations
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The half-life of Einsteinium 253 is 20.5 days. If you start with 5g
of Es-253, how many grams will you have after 31 days?
Answer:
1.753 g
Step-by-step explanation:
Half life of Einsteinium = 20.5 days
Time elapsed = 31 days
Initial quantity of the substance = 5g
The formula to apply is;
\(N( t )=N_o( \frac{1}{2} )^{\frac{t}{t0.5} }\)
Where
N(t)=quantity of a substance remaining
No =Initial quantity of the substance = 5g
t= time elapsed=31 days
t1/2 = half life of the substance= 20.5 days
N(t)=5 * {1/2} ^ {31/20.5}
N{t} = 5 * {0.5}^1.5
N{t} = 5*0.3506
N{t} =1.753 g
What division problem can be represented using the number line?
A number line going from 0 to StartFraction 10 Over 3 EndFraction in increments of one-third. An arrow goes from 0 to five-thirds and from five-thirds to StartFraction 10 Over 3 EndFraction.
StartFraction 10 Over 3 EndFraction divided by five-thirds
Five-thirds divided by StartFraction 10 Over 3 EndFraction
2 divided by five-thirds
2 divided by StartFraction 10 Over 3 EndFraction
Answer: The Answer is A
Step-by-step explanation:
Answer:
A on edge2020
Step-by-step explanation:
Find the distance between the two points in simplest radical form.
(2,-8) and (-6,-1)
Answer:
( 8,7 )
Step-by-step explanation:
Answer:
\(\sqrt{113}\)
Step-by-step explanation:
Hi! Please help with my math work alg 1
scaling, when it applies to graphics, means changing the vertical or horizontal size of the graphic by a percentage. true or false
False. Scaling, in the context of graphics, refers to the process of resizing an image or graphic while maintaining its aspect ratio. It involves changing both the vertical and horizontal size of the graphic by the same percentage.
When scaling a graphic, the goal is to resize it proportionally, preserving the original aspect ratio. This means that both the vertical and horizontal dimensions are changed by the same factor or percentage. For example, if an image is scaled by 50%, both its height and width will be reduced by 50% of their original values. This ensures that the graphic maintains its original proportions and does not appear distorted.
Scaling graphics is commonly used in various applications, such as graphic design, image editing, and web development, to resize images without distorting their appearance. It allows for consistent resizing across different devices or platforms while maintaining the integrity of the original graphic.
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A car moving at a constant speed passed a timing device at t=0. After 9 seconds the car has traveled 1,053ft. Write a linear function rule to model the distance in feet d the car has traveled any number of seconds t after passing the timing device.
Answer:
d = 117t
Step-by-step explanation:
The equation is
y = mx + b
Here m is the function's slope, and b is the y-intercept.
We know
As the car moves at a constant speed passes a timing device at t=0.
After 9 seconds, the car traveled 1053ft.
We have to find the slope
Slope = rise/run or (y2 - y1) / (x2 - x1)
We have the slope is
m = 1053/ 9 = 117
So, the equationn is d = 117t
If you can, please give me a Brainliest; thank you!
what is the value of x in this figure
Answer:
43°
Step-by-step explanation:
the blue angle is congruent with the 80° because they are vertical angles
the red angle is 57° because 123° and 57° angles are supplementary angles
the green angle is 43° because the sum or angles in a triangle is 180°
when using smoothing splines for regression, the tuning parameter determines the smoothness of the fitting function via application of a penalty term to a loss function. determine whether the effective degrees of freedom increase or decrease as varies between . what minimum and maximum values does take on?
Answer:
Step-by-step explanation:
CIOCCA
Suppose that X and Y are random variables with the same variance. Show that X - Y and X + Y are uncorrelated.
X - Y and X + Y are uncorrelated. To show that X - Y and X + Y are uncorrelated, we need to show that their covariance is zero.
The covariance between X - Y and X + Y is given by:
\(Cov(X - Y, X + Y) = E[(X - Y)(X + Y)] - E[X - Y]E[X + Y]\)
Expanding the first term:
Cov(X - Y, X + Y) = E[X^2 - Y^2] - E[X - Y]E[X + Y]
Using the fact that X and Y have the same variance, we have:
\(E[X^2 - Y^2] = E[(X - Y)(X + Y)] = E[X^2] - E[Y^2]\)
And since X and Y have the same variance\(, E[X^2] = E[Y^2]\), so we can simplify:
\(E[X^2 - Y^2] = 0\)
Next, we can expand the second term:
E[X - Y]E[X + Y] = (E[X] - E[Y])(E[X] + E[Y])
Since X and Y have the same variance, we have E[X] = E[Y], so:
E[X - Y]E[X + Y] = (E[X] - E[X])(E[X] + E[X]) = 0
Putting it all together:
Cov(X - Y, X + Y) = 0 - 0 = 0
Therefore, X - Y and X + Y are uncorrelated.
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the ratio c:g is 2:3 and the ratio g:t is 5:4. workout the ratio c:g:t in its simplest form
Answer:
10:15:12
Step-by-step explanation:
c:g:t
2:3:3
5:5:4
10:15:12
What is the difference between frequency distributions and percentage distributions, and how are they used differently
Frequency distributions, count the number of times each value or range of values appears in a dataset, while percentage distributions show the proportion or percentage of times each value or range of values appears in the dataset.
Frequency distributions are useful for summarizing and describing the distribution of a variable in a data set, while percentage distributions are useful for comparing different variables or subgroups within the data set.
For example, a frequency distribution could be used to show the number of hours of sleep each participant in a study gets per night, while a percentage distribution could be used to compare the number of hours of sleep between males and females in the study.
Frequency distributions and percentage distributions provide different perspectives on the same data set and can be used together to gain a more complete understanding of the data.
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2 groups of 17 plz help and 4 groups of 18
Answer:
8.5 & 4.5
Step-by-step explanation:
2 groups of 17 is 17 ÷ 2 because your dividing 17 people into 2 groups, same thing with 4 groups of 18.
So, 17 ÷ 2 = 8.5 & 18 ÷ 4 = 4.5
During a closeout sale, some television models are discounted 40%. If a television is on sale for $1,485, what is the original price of the television to the nearest dollar?
Answer: it should be 70
Step-by-step explanation:
because the re adding of the dollars
elect the correct word to fill in each blank. as the sample size increases, the degrees of freedom (i) which moves the t (ii) a z - (i) first blank - (ii) second blank a. decreases b. further from c. closer to d. increases
As the sample size (n) increases, the number of degrees of freedom increases, and the t-distribution approaches a normal distribution.
What is degrees of freedom ?
The variety of degrees of freedom is the amount of values within the final calculation of a datum that are liberal to vary. Estimates of applied math parameters are often primarily based upon totally different amounts information|of knowledge or data.
Main Body:
Degrees of freedom typically equals the quantity of observations (or items of information) minus the quantity of parameters calculable. once you perform regression, a parameter is calculable for each term within the model, and and every one consumes a degree of freedom. Therefore, as well as excessive terms during a multivariate analysis model reduces the degrees of freedom on the market to estimate the parameters' variability.
Hence the number of degrees of freedom increases,as the sample size (n) increases.
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Select the correct answer.
Which equation represents a line that is perpendicular to line PQ?
A line is graphed in an x y plane, where the x and the y axes range from negative 10 to 10 in increments of 2. The line falls through two closed points P (negative 8, 7), and Q (negative 4, negative 5).
A. y=3x-2
B. y=1/3x+4
C. y=1/3x-5
D. y=-3x+6
A perpendicular line to PQ must have a slope equal to 1/3, then the correct options are B and C.
Which equation represents a line that is perpendicular to line PQ?Two lines are perpendicular if the slope of one is equal to the opposite of the inverse of the other line's slope.
We know that PQ passes through (-8, 7) and (-4, 5), then the slope of PQ is:
\(s = \frac{-5 - 7}{-4 - (-8)} = -3\)
A perpendicular line to PQ must have a slope equal to:
\(s' = -(\frac{1}{-3} ) = (\frac{1}{3})\)
So we have two correct options (two lines with that slope) which are options B and C.
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show that solutions to x 0 = sin(tx) are even
The solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.
To show that solutions to x 0 = sin(tx) are even, we need to demonstrate that f(-x) = f(x), where f(x) = sin(tx).
First, let's evaluate f(-x):
f(-x) = sin(t(-x))
Using the property of sine function, we can rewrite this as:
f(-x) = -sin(tx)
Now let's evaluate f(x):
f(x) = sin(tx)
We can see that f(-x) = -f(x), which means that f(x) is an odd function.
However, we want to show that f(x) is an even function. To do this, we need to show that f(x) = f(-x).
Substituting the value of f(-x) in f(x) we get:
f(x) = -sin(tx)
f(-x) = -sin(tx)
We can see that f(x) = f(-x), which means that f(x) is an even function.
Therefore, we have shown that solutions to x 0 = sin(tx) are even.
Hi! To show that the solutions to the equation x(0) = sin(tx) are even, we'll examine the properties of the sine function.
Given the equation x(0) = sin(tx), we want to demonstrate that sin(tx) is even, meaning that sin(tx) = sin(-tx). This can be shown by using the properties of sine and even functions.
Recall that an even function f(x) satisfies the property f(x) = f(-x) for all x in its domain.
Now, consider the sine function sin(-tx). Using the oddness property of sine, we can rewrite this as sin(-tx) = -sin(tx). Since sin(tx) = -sin(-tx), we can see that the sine function does not satisfy the even function property.
Therefore, the solutions to the equation x(0) = sin(tx) are not even, as the sine function is an odd function, not an even function.
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What is the product of 5.86 × 10–7 and 3.1 × 104 1. Write the expression: (5.86 × 10–7)(3.1 × 104) 2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104) 3. Multiply the coefficients: (18.166)(10–7 ∙ 104) 4. Apply the product of powers: 18.166 × 10-3 5. Write in scientific notation: 1.8166 × 10n What is the value of n in the scientific notation of the product?
Answer:
The value of the exponent of the base 10 for this product is -2.
Step-by-step explanation:
\(5.86\,\,10^{-7}\,\,*\,\,3.1\,\,10^4=18.166\,\,10^{-7+4}=18.166\,\,10^{-3}\)
Now, in order to represent this number in scientific notation, we need to reduce the coefficient 18.166 to a coefficient larger or equal to 1 and smaller strictly than 10, by using division or multiplications by powers of 10. In order to reduce it to 1.8166, we need to divide the original 18.166 by ten so we do the following in order not to change the given number (multiply and divide by ten at the same time):
\(\frac{18.166\,\,10}{10} \,10^{-3}=1.8166\,*\,10\,*\,10^{-3}=1.8166\,\,10^{-2}\)
Answer:
-2
Step-by-step explanation:
1. Write the expression: (5.86 × 10–7)(3.1 × 104)
2. Rearrange the expression: (5.86 × 3.1)(10–7 ∙ 104)
3. Multiply the coefficients: (18.166)(10–7 ∙ 104)
4. Apply the product of powers: 18.166 × 10-3
5. Write in scientific notation: 1.8166 × 10n
do all this get negitive two
Help I’ll give Brainly est
Answer:
26 sq units.......