Find the surface area of the prism.

A. 78 in2

B. 158 in2

C. 120 in2

D. 119 in2

Answer:

the slope or gradient of a line is a number that describes both the direction and the steepness of the line. ... Slope is calculated by finding the ratio of the "vertical change" to the "horizontal change" between (any) two distinct points on a line.

Step-by-step explanation:

You didn't put a picture, so I didn't know if you meant what it means, or from a line?

Answer:

150

Step-by-step explanation:

Area of A:

A = bh

A = 10(10)

A = 100

Area of B:

A = 1/2bh

A = 1/2(10)(10)

A = 5(10)

A = 50

Combined:

100 + 50

150

Answer:

150

Step-by-step explanation:

My math genius friend told meh the answer bc I'm not smart at math.

The surface area of the right rectangular prism is given as follows:

358 m².

The surface area of a prism is obtained with the sum of the areas of each part of the prism.

The parts that compose the prism are given as follows:

The area of a rectangle is given by the multiplication of each of the dimensions of the rectangle.

Hence the surface area of the prism is calculated as follows:

S = 2 x (7 x 12 + 5 x 12 + 5 x 7) = 358 m².

(multiplication by two due to the two rectangles with each of the dimensions).

The prism is given by the image shown at the end of the answer.

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Answer:

144x=8.64

This way you can divide by 144 to find how much each individual pencil costs

Answer:

51.84 cm

Step-by-step explanation:

Solution,

We have,

Area of the square= L²

According to question,

168 cm²= L²

√168 cm²= L²

√(12.96 cm)² = L

12.96 cm= L

Now,

We got,

Length of the square= 12.96 cm

By using the formula of perimeter of square,

We have,

Perimeter of square= 4L

=4×12.96 cm

=51.84 cm

Hence, the perimeter of square is 51.84 cm.

Answer:

4 hours is the answer

Step-by-step explanation:

If the Bartletts drive at the same average rate, today they must have derived for 4 hours.

Given that,
They drove a total of 550 miles in 11 hours. Today, they will drive another 200 miles and arrive at the park. If the Bartletts drive at the same average rate, how long will they drive today is to be determined.

Distance is defined as the object traveling at a particular speed in time from one point to another.

Here,
Speed = distance/time
Speed = 550 / 11  = 50 miles per hour
Again,
Speed = distance/time
50 = 200 / time
time = 4 hours,

Thus, If the Bartletts drive at the same average rate, today they must have derived for 4 hours.

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Answer:

Simplifying

5x = 95

Solving

5x = 95

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Divide each side by '5'.

x = 19

Simplifying

x = 19

Step-by-step explanation:

Answer:

7/11 or

7

--

11

Step-by-step explanation:

Hope this helps :)

well, how many mL of acid are in each to begin with?  let's check for each

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{75\% of 100}}{\left( \cfrac{75}{100} \right)100}\implies 75 ~~ \textit{mL of acid} \\\\\\ ~\hspace{11em}\stackrel{\textit{35\% of 25}}{\left( \cfrac{35}{100} \right)25}\implies 8.75 ~~ \textit{mL of acid} \\\\\\ ~\hspace{11em}75 + 8.75 \implies \text{\LARGE 83.75}\)

Answer:

Yes

Step-by-step explanation:

Because the mean is the total of all the words divided by the number of pages, so if the mean is higher, that means that there are more pages on average in the art book than the science book.

Answer:

no

Explanation:

there is a lot of variability in the art book data

Answer:

0.0001

Step-by-step explanation:

10^-4 = 0.0001

Answer:

No solution

Step-by-step explanation:

Apply the distributive property:

-2x - 2 = -2x + 5

Add 2x to each side:

-2 = 5

Since negative two never equals five, there is no solution to this equation.

Answer: y = 5x-2

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

im 100% sure i hope this helps :)

Answer:

\(4x + 12 = 60 \\ 4x = 60 - 12 \\ 4x = 48 \\ x = \frac{48}{4} \\ x = 12\)

=> 12 IՏ Tᕼᗴ ᑕOᖇᖇᗴᑕT ᗩᑎՏᗯᗴᖇ.

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

Since \(x^2 + x + 1 = 0\) means \(x^2+x = -1\), we have for any \(n\) the recursive relation

\(x^n (x^2 + x) = x^{n+2} + x^{n+1} = -x^n \implies x^{n+2} = -x^{n+1} - x^n\)

Let \(f(x)=x^{2015}+x^{2013}+x\). Substitution using the recursive rule generates an alternating power-reduction pattern:

\(f(x) = \left(-x^{2014} - x^{2013}\right) + x^{2013} + x = -x^{2014} + x\)

\(f(x) = -\left(-x^{2013} - x^{2012}\right) + x = x^{2013} + x^{2012} + x\)

\(f(x) = \left(-x^{2012} - x^{2011}\right) + x^{2012} + x = -x^{2011} + x\)

\(f(x) = -\left(-x^{2010} - x^{2009}\right) + x = x^{2010} + x^{2009} + x\)

\(f(x) = \left(-x^{2009} - x^{2008}\right) + x^{2009} + x = -x^{2008} + x\)

\(f(x) = -\left(-x^{2007} - x^{2006}\right) + x = x^{2007} + x^{2006} + x\)

and so on.

Notice that in the equivalent forms of \(f(x)\) involving 3 terms, the largest power of \(x\) is a multiple of 3, and the next largest power is 1 less. This means after so many iterations of substitutions, we would end up with

\(f(x) = x^3 + x^2 + x\)

Then by factorizing, the expression of interest reduces to

\(f(x) = x (x^2 + x + 1) = x \times 0 = \boxed{0}\)

Answer:70 miles per hour

Step-by-step explanation:350 divided by 50 is 70

Answer:       command economic systems:

  China: China's economy has been under the control of the Communist Party since 1949. Although the country has gradually introduced market-oriented reforms in recent decades, the government still exercises significant control over the economy.

   Cuba: Since the Cuban Revolution in 1959, Cuba has been a one-party socialist state with a command economy. The government controls almost all economic activity, including the allocation of resources and setting of prices.

   North Korea: North Korea is a communist state with a command economy. The government controls all economic activity and owns all major industries, including agriculture, manufacturing, and transportation.

   Vietnam: Vietnam is a one-party socialist state with a command economy. The government controls the allocation of resources, sets prices, and owns much of the economy's key industries.

   Venezuela: Venezuela is a socialist state with a command economy that has been in crisis in recent years. The government controls much of the economy, including the country's vast oil reserves, but the country has been plagued by hyperinflation and shortages of basic goods.

5 countries that follow mixed economic system in and out of Africa:

   United States: The United States has a mixed economy, which means that it has both private and public ownership of the means of production. The government regulates some industries and provides social services, while others are left to the free market.

  United Kingdom: The United Kingdom is another example of a mixed economy. It has a strong tradition of free-market capitalism, but the government also provides social services and regulates some industries.

  South Africa: South Africa is a country in Africa that has a mixed economy. It has a well-developed private sector, but the government also provides social services and regulates certain industries.

   Brazil: Brazil is a country in South America that has a mixed economy. It has a large and growing private sector, but the government also plays a significant role in the economy, particularly in areas such as energy, telecommunications, and transportation.

   India: India is a country in South Asia that has a mixed economy. It has a large and diverse private sector, but the government also plays an active role in the economy through regulation, public ownership of some industries, and social services.

The checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

The fertilizing techniques that would be most effective for each example are as follows:

1. Farm with numerous workers and sensitive crops:

a. UDP (Unchecked )

b. Precision management (Checked)

2. A gardener raising produce for a family:

a. UDP (Checked).

b. Precision management (Unchecked )

3. Company that delivers corn to 10 states:

a. UDP (Unchecked)

b. Precision management (Checked)

Please note that the checkboxes are denoted by brackets ([]) for checked and 'x' for unchecked states, respectively.

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Answer:-32 -0.46x is ur answer

Step-by-step explanation:

(i)  The partial fraction decomposition of\(100/(x^7 * (10 - x))\) is\(100/(x^7 * (10 - x)) = 10/x^7 + (1/10^5)/(10 - x).\) (ii) The expression for t in terms of x is t = 10 ± √(100 + 200/x).

(i) To express the rational function 100/(\(x^7\) * (10 - x)) in partial fractions, we need to decompose it into simpler fractions. The general form of partial fractions for a rational function with distinct linear factors in the denominator is:

A/(factor 1) + B/(factor 2) + C/(factor 3) + ...

In this case, we have two factors: \(x^7\) and (10 - x). Therefore, we can express the given rational function as:

100/(\(x^7\) * (10 - x)) = A/\(x^7\) + B/(10 - x)

To determine the values of A and B, we need to find a common denominator for the right-hand side and combine the fractions:

100/(x^7 * (10 - x)) = (A * (10 - x) + B * \(x^7\))/(\(x^7\) * (10 - x))

Now, we can equate the numerators:

100 = (A * (10 - x) + B * \(x^7\))

To solve for A and B, we can substitute appropriate values of x. Let's choose x = 0 and x = 10:

For x = 0:

100 = (A * (10 - 0) + B * \(0^7\))

100 = 10A

A = 10

For x = 10:

100 = (A * (10 - 10) + B *\(10^7\))

100 = B * 10^7

B = 100 / 10^7

B = 1/10^5

Therefore, the partial fraction decomposition of 100/(\(x^7\) * (10 - x)) is:

100/(\(x^7\) * (10 - x)) = 10/\(x^7\) + (1/10^5)/(10 - x)

(ii) Given the differential equation: dx/dt = (1/100) *\(x^2\) * (10 - x)

We are also given x = 1 when t = 0.

To solve this equation and obtain an expression for t in terms of x, we can separate the variables and integrate both sides:

∫(1/\(x^2\)) dx = ∫((1/100) * (10 - x)) dt

Integrating both sides:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) + C

Where C is the constant of integration.

Now, we can substitute the initial condition x = 1 and t = 0 into the equation to find the value of C:

-1/1 = (1/100) * (10*0 - (1/2)*\(0^2\)) + C

-1 = 0 + C

C = -1

Plugging in the value of C, we have:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

To solve for t in terms of x, we can rearrange the equation:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Multiplying both sides by -1, we get:

-1/x = (1/100) * (10t - (1/2)\(t^2\)) - 1

Simplifying further:

1/x = -(1/100) * (10t - (1/2)\(t^2\)) + 1

Now, we can isolate t on one side of the equation:

(1/100) * (10t - (1/2)t^2) = 1 - 1/x

10t - (1/2)t^2 = 100 - 100/x

Simplifying the equation:

(1/2)\(t^2\) - 10t + (100 - 100/x) = 0

At this point, we have a quadratic equation in terms of t. To solve for t, we can use the quadratic formula:

t = (-(-10) ± √((-10)^2 - 4*(1/2)(100 - 100/x))) / (2(1/2))

Simplifying further:

t = (10 ± √(100 + 200/x)) / 1

t = 10 ± √(100 + 200/x)

Therefore, the expression for t in terms of x is t = 10 ± √(100 + 200/x).

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The given sentence is:

41 is equal to 242 multiplied by a.

So the equation is given by:

Hence the equation is

The element of A n B is { 7, 8}

A set is the mathematical model for a collection of different things; a set contains elements or members, which can be mathematical objects of any kind.

For example, if the element of P is even numbers from 1 to 20 and element of Q is factor of 6 from 1 to 20 then we can say that set Q is a subset of set P.

The sign 'n' means intersection and this means what is common to two or more set.

If set A = { 1,2,5,7,8}

set B = { 6,7,8,9}

then we can see that 7 and 8 are common to both sides, then

A n B = { 7,8}

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Answer:

Answer should be 6, I think

The correct column is (A), which correctly represents the responses as probability.

Probability is a measure of the likelihood or chance that a particular event will occur. It is usually expressed as a number between 0 and 1, with 0 indicating that an event is impossible and 1 indicating that an event is certain.

The sum of all the responses is 558 + 79 + 20 + 7 = 664.

To represent the responses as a probability model, we need to divide each response by the total number of respondents, 664.  

The correct column is (A), which correctly represents the responses as probabilities:

(A)Very important 558/664 = 0.841

Somewhat important 79/664 = 0.119

Not too important 20/664 = 0.030

Not at all important 7/664 = 0.011

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Question 24 :

P594.65 : 35 days

P594.65/7 : 35/7 days

P84.95 : 5 days

⇒ A. P84.95

Question 25 :

88.75 + 85.5 + 90.5 + 87.25 / 4

352/4

88

⇒ B. 88

Question 26 :

I = P × r × t

I = 580.00 × 0.065 × 1

I = P37.70

⇒ B. P37.70

The two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

In the above question, A cubic polynomial is given as follows

P(x) = \(x^{3}\) - 2\(x^{2}\) - 7x - 4

K = -1

We need to find the, linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial

So, we got that ( x +1 ) is a one linear factor of P(x). As the highest degree of the polynomial is 3 so there will be three zeroes of the given polynomial. Therefore, We need to find others two

If we divide P(x) = \(x^{3}\) - 2\(x^{2}\) - 7x - 4 by ( x + 1 ) by long division method we'll get, \(x^{2}\) -3x - 4

Now we'll solve the quotient by squaring method, to get the other two

Let's say h(x) =  \(x^{2}\) -3x - 4

h(x) =  \(x^{2}\) -3x - 4

h(x) =  \(x^{2}\) -( 4 -1) x - 4

h(x) =  \(x^{2}\) -4x + x - 4

h(x) =  x( x-4) + 1( x -4 )

h(x) =  (x+1)(x-4)

Therefore, the two other linear factors of the polynomial when it is given that k = -1 is a  zero of the given polynomial are  (x+1)(x-4)

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From the linear equation, the option that describes the graph of the two corresponding lines is C. The lines are parallel.

Based on the complete information, it should be noted that the lines are not coinciding and they don't intersect at only one point.

Rather, it can be deduced that the graph of the two corresponding lines in the xy-plane are parallel.

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Answer:

= 2.3988 x 10^12

Step-by-step explanation:

240,000 million distance to moon = 2.4 × 10^11   (x10)

1 - 0.005 = 0.995   (x10) = 9.995 multiplier.

= 9.995 x 2.4 = 23.988

= 2.3988 x 10^12 distance to Mars

Answer:

It could be 0, is the question multiple choice?

a horizontal line always has a slope of 0, now, for the sake of a silly proof, let's do some rigamarole to get it.

to get the equation of any straight line, we simply need two points off of it, let's use those two in the picture below

\((\stackrel{x_1}{-3}~,~\stackrel{y_1}{7})\qquad (\stackrel{x_2}{7}~,~\stackrel{y_2}{7}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{7}-\stackrel{y1}{7}}}{\underset{\textit{\large run}} {\underset{x_2}{7}-\underset{x_1}{(-3)}}} \implies \cfrac{0}{7 +3} \implies \cfrac{ 0 }{ 10 } \implies \stackrel{ }{\text{\LARGE 0}}\)