What is the surface area of the rectangular prism?
5 m
10 m
2 m

Answer:

The chemical formula of Ammonium nitrate is NH4NO3. It consists of 2 nitrogen atoms, 3 oxygen atoms and 4 hydrogen atoms

Step-by-step explanation:  2.4088 x 10^24 atoms of H. Explanation: +5. how many hydrogen atoms are in one mole of CuNH4Cl3. 1 MOLECULE of CuNH4Cl3 contains 4 H

2.4088 x 10^24 atoms of H

To produce at least 400 sedans, we can set up the following inequality:

10x + 8y ≥ 400. Where x represents the number of weeks Plant A operates, and y represents the number of weeks Plant B operates.

To graph this inequality, we can rewrite it in slope-intercept form: y ≥ (-10/8)x + 50. The slope of the line is -10/8, and the y-intercept is 50. To plot the graph, we can draw a line with a slope of -10/8 passing through the point (0, 50). Then, we shade the region above the line to represent the feasible/solution region since we want y to be greater than or equal to the expression (-10/8)x + 50. The feasible region represents the combinations of weeks for Plant A and Plant B that will satisfy the condition of producing at least 400 sedans.

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Answer: Continuous variables

A variable is said to be continuous if it can assume an infinite number of real values within a given interval

Step-by-step explanation: yep

Answer:

p=(-0.0125n) + 42.5

Step-by-step explanation:

Let p= price

n = number of shirts

m = slope of the line (note, the more shirts, the lower the price, so we know it's going to be negative)

b = y intercept

There are two points which are (1000, $30) and (3000, $5)

Our slope m = (p1-p2)/(n1-n2)

Filling in from our points m = (30-5)/(1000-3000)

m = 25/-2000

m = -0.0125

Since we have determined our slope, we can now find our equation

p-p1=m(n-n1)

p-30=(-0.0125)(n-1000)

p-30= (-0.0125n) + 12.5

p=(-0.0125n) + 42.5

Then, we can double check with the other point there:

p=(-0.0125n) + 42.5

5? (-0.0125x 3000) + 42.5

5= 5

Therefore,linear equation in the form p(n) is

p=(-0.0125n) + 42.5

Answer:

42

Step-by-step explanation:

138+42=180

and since they are parallel lines 1=2

1 = 42

2 = 42

Answer:

178.7 ft.

Step-by-step explanation:

The kite is (x + 5) ft above the ground. So we need to find x first.

Use the trigonometric identity Sine.

\(Sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin44=\frac{x}{250} \\\\x=250*sin44\\x=250*0.69\\x=173.66\ ft\\\)

Rounding your answer to the nearest tenth would be 173.7 ft.

Now the kite is above the ground x + 5 which means

173.7 + 5 = 178.7 ft.

Answer:

Step-by-step explanation:

Let's solve for x.

−2x−3=y

Step 1: Add 3 to both sides.

−2x−3+3=y+3

−2x=y+3

Step 2: Divide both sides by -2.

−2x

−2

=

y+3

−2

x=

−1

2

y+

−3

2

Answer:

x=-1/2y+-3/2 i have the answer but the shown work is messed up sorry

Answer:

-27,0

Step-by-step explanation:

It will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

The lilypad doubles in size each day, which means that if it covers a certain fraction of the pond on day n, it will cover twice that fraction on day n+1. In other words, if the lilypad covers 1/2^k of the pond on day k, then it will cover 1/2^(k-1) of the pond on day k+1.

If we let n be the number of days it takes for the lilypad to cover the entire pond, then we can say that on day n-28, the lilypad covers 1/2 of the pond (since on day n-28, the lilypad will be half the size of what it is on day n). Therefore, we want to solve for n-28 when the lilypad covers the entire pond, which is equivalent to the lilypad doubling in size 28 times:

1/2 * 2^28 = 2^(28-n+28)

Simplifying, we get:

2^(n-28) = 2^28

Taking the logarithm base 2 of both sides, we get:

n-28 = 28

Solving for n, we get:

n = 56

Therefore, it will take 56 days for the lilypad to cover the entire pond. On day 28, the lilypad covers 1/2 of the pond, as we saw earlier.

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Answer:

m∠B = 31°

Step-by-step explanation:

To find m∠B, we use the theory that in order to get it we must find the difference between the two arcs GM and VR and dividing it into 2

When putting this to equation we get:

m∠B = \(\frac{1}{2}\) * (VR - GM) = \(\frac{1}{2}\) * ( 94° - 32°) = \(\frac{1}{2}\)(62°) = 31°

Center C and  \(~\overset{\LARGE{\frown}}{AD}\) marked on circle C with ∠AVD being an inscribed angle, the option 3) m ∠AVD = 1/2 \(m~\overset{\LARGE{\frown}}{AD}\) is true

It is given that C is a center of circle and  ∠AVD is inscribed angle.

An inscribed angle is an angle with its vertex on the circle, formed by two intersecting chords. This common end point is the vertex of the angle. The measure of an inscribed angle is half the measure of the intercepted arc.

Inscribed Angle = 1/2 of Intercepted Arc

Therefore m ∠AVD = 1/2 \(m~\overset{\LARGE{\frown}}{AD}\)

So, the option 3) m ∠AVD = 1/2 \(m~\overset{\LARGE{\frown}}{AD}\) is true when center C and  \(~\overset{\LARGE{\frown}}{AD}\) marked on circle C with ∠AVD being an inscribed angle

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The complete question is in the image below

The steps to condensing the expressions
2loga(4)+3loga(X-4)loga(4)

Log(x+3)+log(x-3) is given below.

To condense the   expressions, we can apply the  properties of logarithms. Here are the condensed forms of the given expressions.

2loga (4) + 3loga(X - 4) - loga 4 )  

By using the product and quotient rules of logarithms, we can simplify this expression as follows

2 loga( 4) + 3 loga( X-4) - log a(4)

= loga(4 ²) + loga((X-4)³) -  loga (4) = loga (16 ) + loga((X-4)³) - loga (4)

Combining the logarithms  using the power rule and quotient rule we have

= loga(16(X-4)³/4)

log(x+3) + log (x-3)

By using the product rule of logarithms, we can combine these logarithms

log (x +3) +log (x - 3) = log ((x +3 )(x -3 ))

Simplifying further, we get

= log (x² - 9 )

So this means that the condensed forms of the given expressions are

2loga( 4) + 3loga(X -4) - loga (4) = loga(16 (X-4) ³/4)

log (x+ 3) + log(x- 3) = log(x² - 9)

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Answer:

3,255 pages

Step-by-step explanation:

multiply 155 by 21

Answer:

The probability of rolling an odd number or a two on a six-sided die is 1/2 + 1/6 = 2/3. This means that if you roll a six-sided die 300 times, you can expect to roll an odd number or a two approximately 200 times

Step-by-step explanation:

Answer: 400 TIMES

Step-by-step explanation:

1/6 +1/2

4/6

2/3

The Central Limit Theorem states that for a random sample of n observations drawn from any population with a finite mean μ and a finite standard deviation σ, the sampling distribution of the sample mean approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

To apply the Central Limit Theorem, the following condition is necessary:

1. The random sample should be selected from a population that has a finite mean (μ) and a finite standard deviation (σ).

In this case, the population mean is given as $75 and the population standard deviation is given as $5. Since both the mean and standard deviation are finite, the condition for applying the Central Limit Theorem is satisfied.

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\(\displaystyle\\Answer:\ -\frac{14}{13} x+y=\frac{8}{13}\)

Step-by-step explanation:

Ax+By=C   the slope is 14/13   (5,6)    (-8,-8)

The slope m equil 14/13

\(\displaystyle\\By=mx+C\\\\By=\frac{14}{13} x+C\ \ \ \ (1)\)

Substitute the coordinates of the points into equation (1) and obtain a system of equations:

\(\displaystyle\\\left \{ {{B(6)=\frac{14}{13}(5)+C } \atop {B(-8)=\frac{14}{13}(-8)+C }} \right.\\\\\left \{ {{6B=\frac{70}{13} +C\ \ \ \ \ \ \ (2)} \atop {-8B=-\frac{112}{13}+C\ \ \ (3) }} \right.\)

Multiply  both parts of the equation (3) by -1:

\(\displaystyle\\\left \{ {{6B=\frac{70}{13}+C \ \ \ \ (4)} \atop {8B=\frac{112}{13}-C }} \right.\)

Add these equations :

\(14B=\frac{182}{14}\\\\ 14B=14\)

Divide both parts of the equation by 14:

\(B=1\)

Hence, let's substitute the value of B into equation (4):

\(\displaystyle\\6(1)=\frac{70}{13}+C \\\\6=\frac{70}{13}+C\\6-\frac{70}{13} =\frac{70}{13} +C-\frac{70}{13}\\\\\frac{6*13-70}{13}=C\\\\\frac{78-70}{13}=C\\\\\frac{8}{13}=C\\\)

\(\displaystyle\\Thus,\ C=\frac{8}{13}\\\\ So,\ 1(y)=\frac{14}{13} x+\frac{8}{13} \\ -\frac{14}{13} x+y=\frac{8}{13}\)

Answer:

The equation would be 5000(1.02)^x with x representing the amount of years, as the values keep multiplying.

Step-by-step explanation:

please mark brainliest if you can thx <3

Answer:

5000(0.98)^x, with x being the amount of years

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6

What is perimeter of the rectangle?

The perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x+ 6

The formula for calculating the perimeter of a rectangle is expressed as:

P = 2( l + w)

Given the following parameters

length l = 8x - 1

width w = 2x + 4

Substitute the expressions for the length and width into the formula;

P = 2(8x - 1 + 2x + 4)

P = 2(10x + 3)

Distribute 2 over each term in the parenthesis

P = 2(10x) + 2(3)

P = 20x + 6

Hence the perimeter of the rectangle with length 8x - 1 and width 10x + 3 is 20x + 6.

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The complete question is -

The perimeter formula for a rectangle is 2l + 2w, where l is the length and w is the width. Complete the steps to find an expression that represents the perimeter of the rectangle. Substitute the expressions for length and width into the formula 2l + 2w. Distribute 2 to each term in the parentheses. Combine like terms. inches

The equation to the function shown in the graph is f(x) = x³ - x because the x-intercepts are -1, 0, 1.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that:

The graph of the function is shown in the picture.

From the graph of the function the x-intercepts are:

x =  -1, 0, 1

The equation of the function can be written as:

f(x) = x(x + 1)(x - 1)

After multiplication:

f(x) = x(x² - 1)

f(x) = x³ - x

Thus, the equation to the function shown in the graph is f(x) = x³ - x because the x-intercepts are -1, 0, 1.

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Given margin of error increases as the margin of error increases.

To obtain a 3 percent margin of error at a 90% level of confidence, a sample size of about 750 is required. The sample size would be about 1,000 for a 95% level of confidence. Calculating the margin of error for various confidence levels is straightforward.

The ideal sample size for a population of 5,000 people has a 95% degree of confidence and a 5% margin of error, and it is 357. You may calculate this using our online calculator. This number can be used as a sample as well. It displays how many.

∴ For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error increases as the margin of error increases.

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i believe it’s (0,4) since it’s asking for vertex.

Answer:

A) y = –3x+8

Step-by-step explanation:

first off, a negative equation means the graph is downward sloping from left to right –> \. So with this in mind you can immediately eliminate C and D because they are upward sloping graphs. B also doesn't work because it doesn't go through (3,–1). This leaves A as the right answer

the constant number is the number on the y-axis. So, for –3x+2, +2 is the y-coordinate on the y-axis. the slope is -3x meaning down 3, right 1. –3x+8 is the only answer that is perpendicular.

Answer:

C

Step-by-step explanation:

We are given that:

\(\displaystyle f(x)=x+1\text{ and } g(x)=\frac{2}{x}\)

And we want to find:

\(f(g(x))\)

Therefore, we will substitute the equation for g(x) for the x in f(x). This yields:

\(\displaystyle f(g(x))=\big(\frac{2}{x}\big)+1\)

Simplify:

\(\displaystyle f(g(x))=\frac{2}{x}+1\)

Hence, our answer is C.

If the given equations are true, then the value of x + z is 6.

Simultaneous equations or systems of equations are two or more equations in algebra that must be solved jointly. The number of equations must match the number of unknowns for a system to have a singular solution.

Consider the equations are true,

4x + 2y + 8z = 30                                                                    ------------(1)

3x + 2y + 7z = 24                                                                    ------------(2)

Now,

By subtracting equation (2) from equation (1) we get:

eq(1) - eq(2)

4x + 2y + 8z - ( 3x + 2y + 7z ) = 30 -24

4x + 2y + 8z - 3x - 2y - 7z = 6

( 4x - 3x ) + ( 2y - 2y ) + ( 8z - 7z ) = 6

x + 0 + z = 6

x + z =6

Therefore, assuming the equations to be true the value of x + z is equal to 6.

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Answer:

2((5)(4) + (5)(3) + (4)(3)) = 2(20 + 15 + 12)

= 2(47) = 94

Using sine rule formula to resolve the value for angle D

The sine rule formula is,

Given:

Therefore,

Simplify

Hence, the answer is

Answer:

2

Step-by-step explanation:

The red figure is smaller so it is a reduction.

To find the scale factor divide the length of the smaller shape by the length of the larger shape:

9/15 this can be reduced to 3/5