WHATS THE SOLUTION TO THIS?

\(\stackrel{ \textit{\LARGE Areas} }{\stackrel{ \textit{two trapezoids} }{2\left[ \cfrac{8.4(6+17)}{2} \right]}+\stackrel{\textit{left and right rectangles}}{2(10)(5)}+\stackrel{\textit{top rectangle}}{(5)(17)}+\stackrel{\textit{bottom rectangle}}{(6)(5)}} \\\\\\ 193.2~~ + ~~100~~ + ~~85~~ + ~~30\implies \text{\LARGE 408.2}~cm^2\)

Answer:

Answer:

408.2

Step-by-step explanation:

For this problem, I found the area of each face/side of the prism. 2 sides are rectangles with side lengths 5 and 10. 5•10=50, base•height is how you find area for a rectangle. There are 2 of them, so 50+50=100. Another rectangle has 17 and 5 as side lengths, 17•5=85. A small rectangle there has 6 and 5 for the side lengths, 6•5=30. Next, there are 2 trapezoids here, the area of a trapezoid is base1+base2•height/2. The 2 bases are 17 and 6. 17+6=23, 8.4 is the height, 23•8.4=193.2. Lastly, we divide 193.2 by 2, and we get 96.6. There are 2 trapezoids, so we can multiply 96.6 by 2, 193.2. I added up all the areas of the rectangular sides of this prism, it equaled 215, and added it with the 2 trapezoid sides (193.2). 215+193.2=408.2. We have all the areas of each side, so we add all, and get 408.2. Good luck on your test

Step-by-step explanation:

Answer:

8!!

Step-by-step explanation:

5+3

To prove that |a+b| = |a|+|b| if ab is greater than or equal to 0, we need to use the triangle inequality:

When a and b have the same sign, they are both greater than or equal to 0. Thus, the triangle inequality tells us that |a+b| ≥ |a| + |b|. We can then conclude that if a and b have the same sign, then |a+b| = |a|+|b|.

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The solution to the problem is the simplified expression: 5x³ - x² - 3x + 13.

To solve the given problem, you need to simplify and combine like terms. Start by adding the coefficients of the same degree terms.

(3x³ - x² + 4) + (2x³ - 3x + 9)

Combine the like terms:

(3x³ + 2x³) + (-x²) + (-3x) + (4 + 9)

Simplify further:

5x³ - x² - 3x + 13

In this expression, the highest power of x is ³, and the corresponding coefficient is 5. The term -x² represents the square term, -3x represents the linear term, and 13 is the constant term. The simplified expression does not have any like terms left to combine, so this is the final solution.

Remember to check for any specific instructions or constraints given in the problem, such as factoring or finding the roots, to ensure you address all requirements.

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Answer:

\(\tt x=\pm5\sqrt{2}\)

Step-by-step explanation:

\(\tt x^2 - 25 = 25\)

\(\tt x^2-25+25=25+25\) (Add 25 to both sides)

\(\tt x^2=50\) ( Take square of both sides)

\(\tt x=x=\sqrt{50},\:x=-\sqrt{50}\)

\(\tt x=\pm5\sqrt{2}\)

~

Answer:

Diagonal of square = 20 cm. = 200 cm². Side = 10√2 cm

Step-by-step explanation:

Answer:3

Step-by-step explanation:divide

Therefore, the exact amount of wire used for the square is 6/5 feet and for the circle is 24/5 feet in order to minimize the combined area of the square and the circle.

Let's denote the length of the wire used for the square as "s" (in feet) and the length of the wire used for the circle as "c" (in feet).

The total length of the wire is 6 feet, so we can express this as an equation:

s + c = 6

To find the minimum combined area of the square and the circle, we need to express the area in terms of "s" and then minimize it.

Let's start with the square. The perimeter of the square is equal to the length of the wire used for the square:

4s = s

The area of the square is given by:

A_square = s^2

Now, let's consider the circle. The circumference of the circle is equal to the length of the wire used for the circle:

2πr = c

Since the total length of the wire is 6 feet, we can express "c" in terms of "s":

c = 6 - s

The radius of the circle, denoted as "r," is related to its circumference by the formula:

Circumference = 2πr

Substituting the value of "c" and solving for "r," we get:

2πr = 6 - s

r = (6 - s) / (2π)

The area of the circle is given by:

A_circle = πr^2

Substituting the value of "r" and simplifying, we get:

A_circle = π((6 - s) / (2π))^2

A_circle = ((6 - s)^2) / (4π)

Now, let's express the combined area of the square and the circle, denoted as "A_total," as a function of "s":

A_total = A_square + A_circle

A_total = s^2 + ((6 - s)^2) / (4π)

To find the minimum combined area, we can take the derivative of "A_total" with respect to "s" and set it equal to zero:

d(A_total) / ds = 2s - (12 - 2s) / (4π)

d(A_total) / ds = 2s - (12 - 2s) / (4π) = 0

Simplifying the equation, we have:

2s = (12 - 2s) / (4π)

8s = 12 - 2s

10s = 12

s = 12/10

s = 6/5

Now, we have the value of "s" which corresponds to the minimum combined area. To find the exact amount of wire used for the square, we substitute this value into the equation for the total length of the wire:

s + c = 6

6/5 + c = 6

c = 6 - 6/5

c = 30/5 - 6/5

c = 24/5

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Answer:

D. Since none of the sides are congruent, it is not a right triangle.

Step-by-step explanation:

This is the weirdest triangle I've ever seen.

Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.

The given triangle ABC has vertices A(-3, -5), B(0, 4) and C(2, 5).

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)

Here, slope of AB is

m= (4+5)/(0+3)

= 3

Slope of BC is

m= (5-4)/(2-0)

= 1/2

= 0.5

Slope of CA is

m= (5+3)/(2+3)

= 8/5

= 1.6

Since none of the sides have slopes that are negative reciprocals, it is not a right triangle. Therefore, option C is the correct answer.

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Answer: 1st; (-5, 1)

2nd;(-3, 1)

I’m pretty sure this is it, I’ve done questions like this for a while now, I think I got it right, sorry if I didn’t I tried my best.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is based on observations and generalizing from past experiences.

b. Deductive Reasoning: The statement "If A = B and B = A" is an example of a logical deduction.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is an example of inductive reasoning. By observing fireflies in the backyard during past summers, a pattern or trend is recognized. This pattern leads to the generalization that fireflies are likely to appear in the backyard during summer. Inductive reasoning involves drawing conclusions based on repeated observations and generalizing from those observations to make a prediction about future events. Therefore, when stating, "This summer, I will probably see fireflies in my backyard," it is an application of inductive reasoning, relying on the assumption that the pattern observed in the past will continue in the future.

b. Deductive Reasoning: The statement "If A = B and B = A" exemplifies deductive reasoning. Deductive reasoning relies on established rules, principles, or premises to draw logical conclusions. In this case, the statement refers to the concept of equality in mathematics. The principle of equality states that if A is equal to B, and B is equal to A, then they are interchangeable and represent the same value. Deductive reasoning allows us to deduce that A and B are equivalent based on the given premise. It involves applying logical reasoning and established principles to arrive at a specific conclusion.

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If all the widgets from the three machines are mixed together, then the probability that a good widget will be drawn at random is 0.78 or 78%.

Probability is defined as how likely an event is to occur, or how likely it is that a proposition is true.

If machine 1 makes 3000/hour and 80% are good, then the chances of it being good is 80% also or, 2400 out of 3000.

80% of 3000 is 2400

If machine 2 makes 4000/hour and 90% are good, then the chances of it being good is 90% also or, 3600 out of 4000.

90% of 4000 is 3600

If machine 3 makes 3000/hour and 60% are good, then the chances of it being good is 60% also or, 1800 out of 3000.

60% of 3000 is 1800

Mixing together the widgets from the three machines, use the formula to calculate the probability of an event which is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n

Probability(good) = (2400 + 3600 + 1800)/(3000 + 4000 + 3000)

Probability(good) = 7800/10000

Probability(good) = 0.78 or 78%

Hence, the probability that a good widget drawn at random is 0.78 or 78%.

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We will determine x as follows:

Answer:

the other guy is right

Step-by-step explanation:

Answer:

7+4+9= 20 parts per whole

7+4+9= 20 parts per wholered: 7/20 = 35%

7+4+9= 20 parts per wholered: 7/20 = 35%yellow: 4/20 = 20%

7+4+9= 20 parts per wholered: 7/20 = 35%yellow: 4/20 = 20%orange: 9/20 = 45%

Answer:

31-6/1-1

=25/0

=undefined

Answer: 2016 in^2

Step-by-step explanation:

3) Let's start with the taller rectangular prism. The height is 24", the width is 12", and the length is 12". The smaller rectangular prism is actually a cube because the height, width, and length are all 12". Just as a refresher, the surface area of an object is only the area of each outside face. For rectangular prisms, the surface area is 2(lh+wh+lw) (l=length, h=height, w=width). And for cubes, the surface area is 6s^2, where s is the side. 2(12*24+12*24+12*12) is equal to 1440 inches squared, however, half of one face is covered. This is the longest face shaded in dark green: 24" times 12", but because only half is showing, it is 24*12 divided by 2. This is equal to 144"; and you must subtract this from the entire surface area to account for that covered space. 1440-144 is 1296 inches squared. The cube is (12*12)(6) which is 864. But one whole side is covered, meaning you need to subtract 144 to have the surface area be 720 inches squared. 1296 plus 720 is 2016 inches squared. Decounting the half a side from the prism and one full side from the cube, there are only 10 and a half sides shown.

Hope this helps :)

Answer:

8/10

Step-by-step explanation:

Answer: 0.8 = \(\frac{4}{5}\)

Step-by-step explanation: We need to change 0.8 into a fraction.

0.8 = \(\frac{8}{10}\)

\(\frac{8}{10}\\\) = \(\frac{4}{5}\)

Therefore, your answer is \(\frac{4}{5}\)

hope this helps!

lovelymoonlight

Answer:

0

Step-by-step explanation:

The equation if I read this correctly is:

(7 / 7x⁶+4) / 7x⁶

Using x = 0 you would have:

[7 / (7(0)⁶+4)] / 7(0)⁶

(7 / 0 +4) / 0

(7/4) / 0 which is the same as 7/4 x 0  = 0

The required answers are,

a. The terms - 5x, 27, 9, -7

b. The coefficients - 5 and 2

c. The constants - 9 and -7

An expression is a number, or a variable, or a combination of numbers and variables and operation symbols.

Now the given expression is 5x + 2y + 9 − 7

Now the terms in the equation are 5x, 27, 9, -7

Therefore,

Terms = 5x, 27, 9, -7

Now coefficient is a number or any symbol representing a constant value that is multiplied by the variable.

So the variables in the given expressions are x and y.

And their multiples are 5 and 2, 5 is in multiplication of x and 2 is in multiplication of y.

Thus, coefficients are, 5 and 2

or, Coefficients = 5 and 2

Now th constants are the numbers that are not in multiplication with the variable. Thus, their value remains unchanged.

So in the given expression 9 and -7 are the constants that are not in multiplication with the variables.

Thus,

Constants =  9 and -7

Hence we get,

Terms = 5x, 27, 9, -7

Coefficients = 5 and 2

Constants =  9 and -7

Thus, the required answers are,

a. The terms -5x, 27, 9, -7

b. The coefficients - 5 and 2

c. The constants - 9 and -7

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Answer:

420 seconds is equal to 7 min

So 7 to 10 or 7 : 10

pls brainliest

These are the steps that you should follow in order to make the necessary calculations to convert 420 Seconds to Minutes. In order to convert from [s] to [min], we have to devide the amount of Seconds by 60.

Then the second step, is to substitute the amount of Seconds with the value of 420 and calculate the division. After successfuly calculating it the result should for 420 Seconds to Minutes should be 7

So 7 to 10 or 7 : 10

Hope this helped!

Have a great day

If the given quantities are 10 quarters 17 dimes 40 nickels 15 pennies then the total money would be 6.35 dollars.

If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Quarters are worth .25 of a dollar

10 x .25 = 2.5

Dimes are worth .10 of a dollar

17 x .10 = 1.7

Nickels are worth .05 of a dollar

40 x .05 = 2

Pennies are worth .01 of a dollar

15 x .01 =  0.15

Add this together

2.5 + 1.7 + 2 + 0.15

= 6.35

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The equation for the tangent plane at point P_0(2,1,2) on the surface 2x^2 + 4y^2 + 3z^2 = 24 is 5x + 4y + 3z = 20. The equation for the normal line at the point P_0(2,1,2) is parametrically represented by x = 2 + 5t, y = 1 + 4t, z = 2 + 3t.

To find the equation for the tangent plane, we first take the partial derivatives of the given surface equation with respect to x, y, and z, and evaluate them at point P_0(2,1,2). Then, we use these values and the point to write the equation for the tangent plane in the form Ax + By + Cz = D.  To find the equation for the normal line, we use the gradient vector of the surface equation at point P_0(2,1,2), which is orthogonal to the tangent plane at that point. This gradient vector provides the direction of the normal line, and we can use the point-slope form to write the equation for the line in terms of the given point and the direction vector.

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Answer:

-1/5

Step-by-step explanation:

use the two points and plug into the slope formula:

(y₁-y) divided by (x₁-x)

(2-1) / (-2-3) = 1/-5

slope is -1/5

Answer:

A ) 8,000 x - 24,000 in 3 day

Answer:  The answer is D

Step-by-step explanation:

Answer:

The last one is the answer

Answer: For each hour that Michelle drove, she travelled an additional 50 miles.

Step-by-step explanation:

Test each option to see its accuracy

Calculate the slope:

\((x_{1}, y_{1}) = (7, 0)\\(x_{2}, y_{2}) = (0, 350)\\ \\\frac{y_{2}-y_{1}}{x_{2}-x_{1}} =\frac{350-0}{0-7} =\frac{350}{-7} =-50\)

This means that Michelle drove 50 miles per hour.

The other three options are wrong because if you bring in:

into your function- y = -50x + 350, you would not get the stated miles.

Answer:

it's 56 but I don't see it as a answer

Step-by-step explanation:

before 11 pass, which 26-11= 15 so James was 15 years old and Sam is 3 times which is 45 and 11 years pass on and James is now 26 and Sam should be 56. hope 56 is a answer choice!

Answer:

I think that the answer is a, b, d

Answer:

\(\left[\begin{array}{ccc}11&15&-17\\-1&-4&-4\\17&15&-22\end{array}\right]\)

Option D will be your answer

\(-----------\)

hope it helps...

have a great day!!

Answer:

7p+7=37-3p

10p=30

p=3

answer : p=3 because ke=be