Write each decimal as a mixed number in simplest form.
6. 3.6

7. 10.4

8. 2.11

Answer:

b > - 9

Step-by-step explanation:

i hope i did okay i try my best

The equation of a plane in vector form is r. (n * a) = d, where a is a point on the plane, n is the normal, r is the position vector, and d is the distance from the origin. The line passes through (0,-5,-4) and has a direction vector of d = (1,0,0).

Given:Point through which the line passes (0,−5,−4)Normal to the surface at (0,−5,−4)The equation of a plane in vector form is given byr. (n * a) = dwhere, a is a point on the plane, n is the normal to the plane, r is the position vector and d is the distance of the plane from the origin.For the given point and normal vector,n = (0,-1,0)and a = (0,-5,-4)respectively.

So, the plane equation can be written as

r.(0,-1,0) = - 5

So, the equation of the plane can be given by y = - 5 It is given that the line passes through the point (0,-5,-4) which is normal to the surface at (0,-5,-4).As the given normal vector is in y-direction, the line will be parallel to x-z plane and perpendicular to the y-axis.

So, the direction vector of the line can be given byd = (1,0,0)Now, as the line passes through (0,-5,-4), we can get the vector equation of the line as

r = a + td

where, t is the parameter.So, the vector equation of the line can be givend = (0,-5,-4) + t(1,0,0)Thus, the vector equation of the line through point (0,−5,−4) which is normal to the surface at (0,−5,−4) isr = (t, - 5, - 4) where t is any real number.

Note: In the given question, it was not mentioned about the surface. But it is given that the line is normal to the surface. So, the equation of the surface is taken as the plane equation.

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According to the given data we have the following:

Shift the function f(x)=x^2 to the right 2, vertical stretch by 4, and a shift

up 1 unit.*

If we Shift the function f(x)=x^2 to the right 2, hence the right option would be:

f(x)=4(x+2)^2+1

Hence, the right option would be option 1.

Using the normal distribution, the diameter that represents the 49th percentile is of 1.52 units.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

Using a calculator, the mean and the standard deviation for the diameters are given as follows:

\(\mu = 1.524, \sigma = 0.1226\)

The 49th percentile is X when Z = -0.025, hence:

\(Z = \frac{X - \mu}{\sigma}\)

\(-0.025 = \frac{X - 1.524}{0.1226}\)

X - 1.524 = -0.025 x 0.1226

X = 1.52.

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The next day Patsy have t choose between cheerleading and play practice is 17th September

To solve the problem of calculating the next day Patsy will have the events of cheerleading and school play same day, we find the lowest common multiple of the intervals of the occurrence of the two events

The interval of the events are:

cheerleading - 4th day

school play - 6th day

The Lowest common multiple of 4 and 6 is calculated to be 12

If the two events occurred on 5th September the next will on

= 5 + 12

= 17

The next time to choose between the two will be on 17th September

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Answer:

Step-by-step explanation:

The Mean Value Theorem says that for continuous and differentiable function f(x) on the interval ( a, b ) there is number c ∈ ( a, b ) that

f'(c) = \(\frac{f(b)-f(a)}{b-a}\) ....... (1)

~~~~~~~~~~~~~~~~

f(5) = 44

f(0) = - 1

5 - 0 = 5

f'(x) = 2x + 4 ⇒ f'(c) = 2c + 4

2c + 4 = \(\frac{44+1}{5}\)

2c + 4 = 9 ⇒ c = \(\frac{5}{2}\) (D).

Answer:

The mean would be 85 :)

Step-by-step explanation:

Answer: 38.8g of sugar

Step-by-step explanation:

9.7 x 4= 38.8

The advantages of the 'Monthly Reporting Form' are given below:a) Reduced administrative hassle compared to single shot: Monthly reporting forms reduce the workload of administrative work that may have been required if it was a single-shot.

For instance, when it comes to accounting and finance, monthly reporting can help to reduce the administrative burden that comes with running a business. This is because monthly reporting makes it easier to keep track of financial data, ensuring that records are updated on a more frequent basis.

There is a lower rate associated with monthly reporting forms as they can offer a reduction in cost compared to single-shot options. This is because they can save time and money in the long run, reducing the amount of work and administration required to keep track of things.

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Answer:

192.17 mi

Step-by-step explanation:

The statement that a rhetorical question is a question meant to confuse the reader about the topic, is False.

A rhetorical question is a figure of speech that is not meant to be answered directly, but instead to stimulate reflection or provide emphasis. It is often used in persuasive writing or speech to create a particular effect on the audience, such as to provoke thought, engage emotions, or call attention to a particular point.

Rhetorical questions are not meant to confuse the reader, but rather to communicate a message more effectively by framing it as a question.

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Step-by-step explanation:

To solve the equation:

6(sin(x))^2 + 7cos(x) - 3 = 0

We can use the identity:

sin^2(x) + cos^2(x) = 1

Rearranging the equation, we get:

6(1-cos^2(x)) + 7cos(x) - 3 = 0

Expanding and rearranging, we get:

6cos^2(x) + 7cos(x) - 9 = 0

This is now a quadratic equation in terms of cos(x).

Using the quadratic formula, we get:

cos(x) = [-7 ± √(7^2 - 4(6)(-9))]/(2(6))

cos(x) = [-7 ± 13]/12

cos(x) = 1/2 or -3/2

Now we use the inverse cosine function to find x for each solution for cos(x).

When cos(x) = 1/2, we get:

x = π/3 + 2πk or x = 5π/3 + 2πk

When cos(x) = -3/2, we get:

there are no solutions for this case.

Therefore, the general solution to the equation is:

x = π/3 + 2πk or x = 5π/3 + 2πk where k is an integer.

Answer:

hope it helps! :)

Step-by-step explanation:

m < A = 61 bc 90+29=119

180-119=61

ED: 9y-22=5

9y=27

y=3

9(3)-22 =5

ED=5

3x-5=13

3x=18

x=6

\(BC^{2}\)+25+=169

\(BC^{2}\)=144

BC=12

m<DCE=29

y=3

Concurrent line segments are those that cross at least three other line segments at the same location.

Concurrent line segments are those that cross at least three other line segments at the same location. In geometry, if two lines intersect at a single point in a plane or higher-dimensional space, they are said to be concurrent. In contrast to parallel lines, they exist. Concurrent lines are those that cross more than one line at the same time through a single point in a plane. The point of concurrency is a location that each of those lines shares. Triangles provide another example where this concurrency characteristic can be observed.

Here,

Concurrent line segments are those where three or more line segments cross each other at the same location.

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Hii !

We can find the value of x and y by using two simple methods, which are as follows -

P.S - There are five methods to solve a system of linear equations in two variables in general. Those methods are -

But I will be solving the given linear equations by using the above 2 methods because in the question it's not particularly mentioned and secondly the methods I'll be solving the question with, are considered more in contrast to rest of the methods (from my pov).

So let's start solving,

First we will use th substitution method. In the substitution method first we work by substituting one y-value with the other. To put it simply, the method involves finding the value of the x-variable in terms of the y-variable.

-2x -9y = -25 ---- (i)

-4x -9y = -23 ---- (ii)

Finding the value of x in (i),

=> -2x -9y = -25

=> -2x = -25 + 9y

=> x = -25 + 9y/-2

or we can also write it as,

=> x = 25 - 9y/2 ----(iii)

Finding the value of x in (ii),

=> -4x -9y = -23

=> -4x = -23 + 9y

=> x = -23 + 9y/-4

or we can also write it as,

=> x = 23 - 9y/4 ----(iv)

Now equating the equations (iii) and (iv),

=> 25 - 9y/2 = 23 - 9y/4

=> 4(25 - 9y) = 2(23 - 9y)

=> 100 - 36y = 46 - 18y

=> 36y - 18y = 100 - 46

=> 18y = 54

=> y = 54/18

=> y = 3

Finding the value of x by taking either equation (iii) or (iv),

=> x = 23 - 9(3)/4

=> x = 23 - 27/4

=> x = -4/4

=> x = -1

_____________________________

Using the elimination method, In this method we simply add or subtract the equations, in accordance with the sign they require to eliminate any one value (of x and y).

Here, in this question we will subtract equation (i) and (ii) to eliminate 9y,

-2x -9y = -25

(-) -4x -9y = -23

(+) (+) = (+)

_____________

=> 2x = -2

=> x = -1

Hence, y = 3.

Therefore, the value of x = -1 and y = 3.

Answer:

x = -1

y = 3

Step-by-step explanation:

Given:

\(\begin{bmatrix}-2x-9y=-25\\ -4x-9y=-23\end{bmatrix}\)

Solve:

\(\mathrm{Substitute\:}x=-\frac{-25+9y}{2}\)

\(\begin{bmatrix}-4\left(-\frac{-25+9y}{2}\right)-9y=-23\end{bmatrix}\)

\(\mathrm{Simplify}\)

\(\begin{bmatrix}9y-50=-23\end{bmatrix}\)

\(\mathrm{For\:}x=-\frac{-25+9y}{2}\)

\(\mathrm{Substitute\:}y=3\)

\(x=-\frac{-25+9\cdot \:3}{2}\)

\(\mathrm{Simplify}\)

\(x=-1\)

\(\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}\)

\(x=-1,y=3\)

~Lenvy~

For all positive integer, (i) The result of 3 • 7 is 1. (ii) The result of 7 • 21 is 7. (iii) The result of 1 + 3 is 3. (iv) The result of 3 + 21 is 21. (v) The result of 3′ is 7.

(i) 3 • 71

To find the result of 3 • 7, we need to calculate the greatest common divisor (gcd) of 3 and 7.

The gcd(3, 7) = 1, which means that the only positive integer that divides both 3 and 7 without leaving a remainder is 1.

The result of 3 • 7 is 1.

(ii) 7 • 21

7

To find the result of 7 • 21, we need to calculate the gcd of 7 and 21.

The gcd(7, 21) = 7, which means that the only positive integer that divides both 7 and 21 without leaving a remainder is 7.

The result of 7 • 21 is 7.

(iii) 1 + 3

3

To find the result of 1 + 3, we need to calculate the least common multiple (lcm) of 1 and 3.

The lcm(1, 3) = 3, which means that the smallest positive integer that is divisible by both 1 and 3 is 3.

The result of 1 + 3 is 3.

(iv) 3 + 21

21

To find the result of 3 + 21, we need to calculate the lcm of 3 and 21.

The lcm(3, 21) = 21, which means that the smallest positive integer that is divisible by both 3 and 21 is 21.

The result of 3 + 21 is 21.

(v) 3′

7\

To find the result of 3′, we need to divide n (which is 21) by 3.

21 divided by 3 equals 7.

The result of 3′ is 7.

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Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he started riding his scooter is given by d = |150 – 9t|. Then 150 in the equation represents the initial distance between Max and Kim. 150 is how far Max is from Kim before he starts and 9 in the equation represents the rate at which Max is closing in on Kim. 9 feet per second is Max's rate.

Two expressions with equal sign is called as equation.

Max rides his scooter toward Kim and then passes her at a constant speed. His distance in feet, d, from Kim t seconds after he started riding his scooter is given by d = |150 – 9t|.

Then 150 in the equation represents the initial distance between Max and Kim. 150 is how far Max is from Kim before he starts and 9 in the equation represents the rate at which Max is closing in on Kim. 9 feet per second is Max's rate.

Therefore Then 150 in the equation represents the initial distance between Max and Kim. 150 is how far Max is from Kim before he starts and 9 in the equation represents the rate at which Max is closing in on Kim. 9 feet per second is Max's rate.

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One is the sum of the areas under the normal curves to the left and right of z.

For a normal distribution, the total area under the curve is 1. Therefore, if we can find the area to the left of z, we can subtract it from 1 to find the area to the right of z.

The area to the left of z can be found using a standard normal distribution table or a calculator. For example, if z is 1.5, the area to the left of z is 0.9332.

The area under the entire normal curve is 1. Therefore, the area to the left of z plus the area to the right of z must add up to 1.

Visually, we can think of the normal curve as being symmetric about its mean, which is located at \(z = 0\). As a result, the area to z's left and right are equal. Area to the left of z plus Area to the right of z equals

\(1/2 + 1/2 = 1\) as a result.

\(1 - 0.9332 = 0.0668\)

Therefore, the combined area is:

\(0.9332 + 0.0668 = 1\).

This supports the notion that the entire area under the normal curve is 1.

As a result, the area under the normal curve to the left of z plus the area to the right of z together equal one.

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Answer:

P(king or diamond) = P(king) + P(diamond) - P(king and diamond) P(king or diamond) = (4/52) + (13/52) - (1/52) P(king or diamond) = 16/52 Page 5 P(king or diamond) = 4/13.

Answer: the second one because its a virdacal reflection

Step-by-step explanation: it’s sideways all you have to do is find the equation

Answer: To find the equation of the straight line parallel to the given line 4x+3y=1 and passing through the point (0,1), we can use the fact that parallel lines have the same slope.

First, we need to rearrange the given line into slope-intercept form, y = mx + b, where m is the slope of the line:

4x + 3y = 1

3y = -4x + 1

y = (-4/3)x + 1/3

Therefore, the slope of the given line is -4/3. Now, we can use this slope and the point (0,1) to find the equation of the line we're looking for:

y - y1 = m(x - x1) (point-slope form)

y - 1 = (-4/3)(x - 0)

y - 1 = (-4/3)x

y = (-4/3)x + 1

So the equation of the straight line parallel to 4x+3y=1 and passing through point (0,1) is y = (-4/3)x + 1.

Step-by-step explanation:

Answer:

$0.14

Step-by-step explanation:

$15.12/9

ans/12

To calculate the cost of shortage (Cs), we need to find the area under the normal distribution curve to the left of the optimal service level. The cost of shortage is the difference between the selling price and the Monday price, multiplied by the probability of shortage.

To calculate the cost of excess (Ce), we find the area under the normal distribution curve to the right of the optimal service level. The cost of excess is the difference between the cost of making the cake and the selling price, multiplied by the probability of excess. The optimal service level is determined by minimizing the total cost, which is the sum of the cost of shortage and the cost of excess. We can find the corresponding z value for the optimal service level using the standard normal distribution table. Once we have the optimal service level (z value), we can find the corresponding demand value. Since demand is normally distributed, we can calculate the optimal number of birthday cakes to make for the weekend by subtracting the expected demand from the optimal service level demand. However, without specific information on the desired service level or target level of shortage/excess, it is not possible to provide numerical answers to the questions. The optimal service level, corresponding z value, and the optimal number of cakes will depend on the specific parameters and objectives of the supermarket bakery.

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Answer:

see explanation

Step-by-step explanation:

A

when 2 equal bases are being multiplied together their exponents are added together, that is

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

B

\(12^{5x}\) × \(12^{-7}\) = \(12^{5x-7}\)

C

\(x^{4}\)\(y^{6k+2}\) × x²\(y^{-1}\)

= \(x^{4}\) × x² × \(y^{6k+2}\) × \(y^{-1}\)

= \(x^{(4+2)}\) × \(y^{(6k+2-1)}\)

= \(x^{6}\)\(y^{6k+1}\)

#A

#B

#C

Answer:

1.greater than 100%

2.less than 100%

Step-by-step explanation:

A whole is represented by the percentage 100%. Therefore, if the part being targeted is bigger than the whole then it would be greater than 100%. While, if the part is smaller than the whole then it would be less than 100%. This is always true in every scenario due to "a whole" being represented as the entirety of the object or data in question, which is why in numerical value it is shown as being 100%

Answer: 6.5 hours

Step-by-step explanation:

You have to find out how long it’ll take, so you divide the total amount by the speed, so 455/70=6.5

Answer:6

Step-by-step explanation:

Answer:

A. 72

B. 3

C. 135

Step-by-step explanation:

A. 12 x 6 = 72

B. 15 x 3 = 45 so Nina raise 3x more money than Sandra

C. 45 x 3 = 135

It does not determine the observed interaction effects between variables.

In the case of multiple linear regression, the option that is not determined is:

Variable interactions that have been observed to have effects.

Option 1: Multiple linear regression can estimate the observed relationship between predictor and outcome variables after adjusting for confounding relationships and option 2: it can determine the potential confounding effects from lurking variables. Furthermore, numerous direct relapse can evaluate the causal connections among indicator and result factors adapting to jumbling connections (choice 3).

However, the potential observed interaction effects between variables cannot be determined by multiple linear regression on its own. Association impacts happen when the connection between two indicators and the result variable isn't added substance however relies upon the mix of the indicator values. In order to evaluate the effects of interactions, additional analysis methods like including interaction terms and carrying out specific interaction tests are required.

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CP=SP*100÷100+P

so,

CP=10350*100÷100+15

CP=9000

Answer:

solution

Step-by-step explanation:

Let.the cp of TV be RS X

now,CP=SP-profit

or, CP=SP-profit% of Cp (as profit amount =profit % of Cp)

or, x=Rs 10350-15÷100× X

or, x= Rs 10350 _ 3X ÷20

or, x+3x ÷20 =Rs 10350

or, 23x ÷20 = Rs 10350

or, x = 10350×20 divided by 23

Therefore X =Rs 9000