what is the value of x^2+4 for x=5​

The volume of the triangular prism will be 400 cubic feet.

Given that:

Width, W = 15 feet

Height, h = 8 feet

Base length, b = 6²/₃ feet

Volume is a measurement of three-dimensional space that is utilized. The concept of length is linked to the notion of capacity.

The volume of the triangular prism is calculated as,

V = 1/2 · b · h · W

V = 0.5 · 6²/₃ · 8 · 15

V = 400 cubic feet

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The energy is compared based on the information given below.

Energy released by burning 1 kilogram of element A = EA = 5.1 * (10)8

Energy released by fission of hydrogen in 1 kilogram of element B = EB = 1.3 * (10)10

Therefore,

Ratio = EB / EA = 1.3 * (10)10 / 5.1 * (10)8 = 25

Thus, the fission of 1 kg of element B releases 25 times as much energy as burning 1 kilogram of element A.

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The other part of the question:

Energy released by burning 1 kilogram of element A = 5.1 times 10 Superscript 8

Energy released by the fission of hydrogen in 1 kilogram of element B = 1.3 times 10 Superscript 10

Answer:

third option

Step-by-step explanation:

under a counterclockwise rotation of 90° about the origin

a point (x, y ) → (y, - x )

Then

A (- 1, - 2 ) → (- 2, - (- 1) ) → (- 2, 1 )

B (2, - 2 ) → (- 2, - 2 )

C (1, - 4 ) → (- 4, - 1 )

The new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

From the question, we have the following parameters that can be used in our computation:

The figure,

Where, we have

A = (-1, -2)

B = (2, -2)

C = (1, -4)

The rule of 90 degrees counterclockwise is

(x, y) = (-y, x)

Using the above as a guide, we have the following:

A = (2, -1)

B = (2, 2)

C = (4, 1)

Hence, the new coordinates are (d) A = (2, -1) B = (2, 2) and C = (4, 1)

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Answer:

3a - b = 1

Step-by-step explanation:

a = (2-3)

b = (1-5)

Substitute the values of a and b to the 3a-b.

3(2-3) - (1-5)

6-9 - (-4)

6 - 9 + 4

-3 + 4

= 1

Therefore, 1 is the answer.

Step-by-step explanation:

Solution :

Given,

a= (2 - 3)

b= (1 - 5)

Now,

3a-b

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

= 3×(-1) - (-4)

= -3+4

= 1

.

. .The value of 3a-b is 1

1 kilogram of baking soda costs $4.5

Step-by-step explanation:

To solve this problem, we will follow the steps bellow:

Using proportion;

Let x be the cost of 1 kg of baking soda

kilogram = $ 2

1 kilogram  = x

Cross - multiply

 ×  x  = $2  ×   1

 ×  x    = $2

= $2

Multiply both-side of the equation by 9

× 9= $2 × 9

At the left-hand side of the equation 9 will cancel-out 9, hence our equation becomes

4x = $18

Divide both-side of the equation by 4

 = $

x   = $4.5

1 kilogram of baking soda costs $4.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

B

there you go

sorry

a) The probability of not matching any of the six winning numbers is the probability that all six numbers chosen by the player are not among the six winning numbers. The probability of choosing a number that is not a winning number is 39/45 since there are 45 total numbers and only 6 are winning numbers. The probability of choosing six non-winning numbers is:

(39/45) x (38/44) x (37/43) x (36/42) x (35/41) x (34/40) = 0.4361

hence, the probability that none of the player's numbers match the six winning numbers is approximately 0.4361.

b) To determine if events E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities.

The probability of E, the event that the bit string chosen begins with 01, is 1/4. This is because there are four possible bit strings that begin with 01: 0100, 0101, 0110, and 0111, and there are 16 possible bit strings in total (2^4).

The probability of E2, the event that the bit string chosen ends with 10, is also 1/4. This is because there are four possible bit strings that end with 10: 0010, 0110, 1010, and 1110.

The probability of both E and E2 occurring is the probability of choosing a bit string that begins with 010 and ends with 10. There are two such bit strings: 0101 and 0100. Since there are 16 possible bit strings, the probability of both E and E2 occurring is 2/16 = 1/8.

To determine if E and E2 are independent, we need to check if the probability of both events occurring is equal to the product of their individual probabilities. That is, we need to check if:

P(E and E2) = P(E) x P(E2)

Substituting the probabilities we have calculated, we get:

1/8 = (1/4) x (1/4)

Since this equation is true, we can conclude that events E and E2 are independent.

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Step-by-step explanation:

21x²-2x +1/2 = 0

x² - 2x ×21 + 1/2× 21 = 0

Answer:

38 units

Step-by-step explanation:

14 * 2 = 28

5 * 2 = 10

28 + 10 = 38

Mark me as brainliest, I am trying to level up.

Answer:  The number has to be less than 27.

Step-by-step explanation:

81 + n > 4n  

      -n    -n

81  > 3n

n<27

Answer:

x > \(\frac{1}{5}\)

Step-by-step explanation:

\(\frac{5(9-x)}{3+1}<11\)

Add 3 and 1 to get 4.

\(\frac{5(9-x)}{4}<11\)

Use the distributive property to multiply 5 by 9−x.

\(\frac{45-5x}{4}<11\)

Subtract  45/5 from both sides.

\(-\frac{5}{4}x<11-\frac{45}{4}\)

Since 44/4 and 45/4 have the same denominator, subtract them by subtracting their numerators.

\(-\frac{5}{4} x<-\frac{1}{4}\)

Multiply both sides by -4/5, the reciprocal of -5/4. Since -5/4 is negative, the inequality direction is changed.

\(x>-\frac{1}{4} (-\frac{4}{5} )\)

Multiply -1/4 times -4/5 by multiplying numerator times numerator and denominator times denominator.

\(x>\frac{-(-4)}{4 x 5}\)

\(x>\frac{1}{5}\)

The area of the composite figure is 378.5 square feets.

We can decompose this into a rectangle of 30ft by 10ft and a circle whose diameter is 10ft.

Remember that the area of a rectangle of width W and length L is given by:

A = L*W

So the area of this rectangle is:

A = 30ft*10ft = 300ft²

And the area of a circle whose diameter D is:

A = 3.14*(D/2)²

So in this case the area of the circle is:

A = 3.14*(10ft/2)²

A = 3.14*(5ft)² = 78.5 ft²

Then the total area of the composite figure is:

area = 300ft² + 78.5 ft²

area = 378.5 ft²

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Given:

1 foot = 12 inches

So, 288 square inches are:

Solve:

Simplify:

Answer: 2 square feet

The measure of the minor arc m∡rv = 111°

Recall that according to the principle of angle of intersecting secants, (a-b)/2 = c

Where a = ∡RV
b = ∡SU = 37°:

and c = ∠T (the angle between intersecting secants.

Thus, if (a-b)/2 = c, and b = c = 37 degrees, then we can substitute these values into the equation to get:

(a - 37) / 2 = 37

Multiplying both sides by 2 gives:

a - 37 = 74

Adding 37 to both sides gives:

a = 111

Therefore, a is equal to  m∡rv = 111°.

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The median of the numbers 3, 2, 6, 3, and 1 is 3.

To find the median of a set of numbers, we need to arrange the numbers in ascending order and identify the middle value. If there is an even number of values, the median is the average of the two middle values.

In this case, the given numbers are 3, 2, 6, 3, and 1. Let's arrange them in ascending order:

1, 2, 3, 3, 6

Now we can determine the median. Since there are five numbers, which is an odd number, the middle value is the third number, which is 3. Therefore, the median of this set of numbers is 3.

The median is a measure of central tendency that represents the middle value in a dataset. It is useful because it is less affected by extreme values or outliers compared to the mean. By arranging the numbers in order and finding the middle value, we ensure that half of the values are smaller than the median and half are larger.

In this case, the median of 3 indicates that half of the given numbers (1, 2, and 3) are smaller than or equal to 3, and the other half (3 and 6) are larger than or equal to 3. The median helps provide a representative value that summarizes the "typical" or central value of the dataset.

In conclusion, the median of the numbers 3, 2, 6, 3, and 1 is 3.

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Answer:

See below for explanation

Step-by-step explanation:

The area of an isosceles triangle is \(A=\frac{1}{2}bh\), so let's write the base as an equation of y:

\(\displaystyle 9x^2+4y^2=36\\\\4y^2=36-9x^2\\\\y^2=9-\frac{9}{4}x^2\\\\y=\pm\sqrt{9-\frac{9}{4}x^2\)

As you can see, our ellipse consists of two parts, so the hypotenuse of each cross-section will be \(\displaystyle 2\sqrt{9-\frac{9}{4}x^2\), and each height will be \(\displaystyle \sqrt{9-\frac{9}{4}x^2}\).

Hence, the area function for our cross-sections are:

\(\displaystyle A(x)=\frac{1}{2}bh=\frac{1}{2}\cdot2\sqrt{9-\frac{9}{4}x^2}\cdot\sqrt{9-\frac{9}{4}x^2}=9-\frac{9}{4}x^2\)

Since we'll be integrating with respect to x because the cross-sections are perpendicular to the x-axis, then our bounds will be from -2 to 2 to find the volume:

\(\displaystyle V=\int^2_{-2}\biggr(9-\frac{9}{4}x^2\biggr)\,dx\\\\V=9x-\frac{3}{4}x^3\biggr|^2_{-2}\\\\V=\biggr(9(2)-\frac{3}{4}(2)^3\biggr)-\biggr(9(-2)-\frac{3}{4}(-2)^3\biggr)\\\\V=\biggr(18-\frac{3}{4}(8)\biggr)-\biggr(-18-\frac{3}{4}(-8)\biggr)\\\\V=(18-6)-(-18+6)\\\\V=12-(-12)\\\\V=12+12\\\\V=24\)

Therefore, this explanation confirms that the correct volume is 24!

Answer:(-(3x^(3)-x-1))/((x^(2)+1)^(2))

Answer:

x + 3x + 4

2(2x+2)

2x + 1 + 2x + 3

Step-by-step explanation:

Have a nice day!

Answer: The graph intersects y = 0 at x = 2 and x = -6, so the answer is B

Step-by-step explanation:

The measurement of three angles in the triangle are 43°, 81°, 56°.

A triangle's interior angles always add up to 180°, whereas its exterior angles are equal to the sum of the two interior angles that are not adjacent to it.

Given three angles,

∠A = (5x - 17)°

∠B = (7x - 3)°

∠C = 56°

We know that in a triangle ∠A + ∠B + ∠C = 180°

By substituting values,

(5x - 17) + (7x - 3) + 56 = 180

12x -20 + 56 = 180

12 x + 36 = 180

12x = 180 - 36

12x = 144

x = 144/12

x = 12

By substituting values of x we get,

∠A = (5x - 17)°

     = 5 x 12 - 17

     = 60 - 17

     = 43

∠A = 43°

∠B = (7x - 3)°

     = 7 x 12 - 3

     = 84 - 3

     = 81

∠B = 81°

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The total cost for the family will be given multiplying the previous cost by 1.15.

The total cost is obtained applying the proportions in the context of the problem.

Due to the new person, the previous cost was increasing by 15%, meaning that it is 115% = 1.15 of the previous cost, meaning that the total cost for the family will be given multiplying the previous cost by 1.15.

The problem is incomplete, hence the general procedure to obtain the new total cost is presented.

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Answer:

8 feet

Step-by-step explanation:

Let's start by remembering what we know about rectangles. The area of a rectangle is equal to the length multiplied by the height:

A = l x h

To find the height of the wall, we will divide the area by the length to isolate the unknown variable on one side of this equation:

h = 96/12 = 8 feet

Hope this helped!

The angle in degrees between the two planes is approximately 159.460°.

The equation of the plane, whose form is a · x + b · y + c · z = d is equivalent to this vectorial form (a, b, c) • (x, y, z) = d, where (a, b, c) is the vector of coefficients. The angle between the two planes:

θ = cos⁻¹ [[(a₁, b₁, c₁) • (a₂, b₂, c₂)] / [||(a₁, b₁, c₁)|| · ||(a₁, b₁, c₁)||]]

If we know that (a₁, b₁, c₁) = (1, - 10, - 8) and (a₂, b₂, c₂) = (2, 5, 8), then the angle between the two planes is:

θ = cos⁻¹ [[(1, - 10, - 8) • (2, 5, 8)] / [√165 · √93]]

θ = cos⁻¹ [(-2 - 50 - 64) / √15345]

θ = cos⁻¹ (- 116 / √15345)

θ ≈ 159.460°

The angle in degrees between the two planes is approximately 159.460°.

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Answer:

A= 30 sq. cm

Step-by-step explanation:

We want to find the area of both triangles seprately than add them together. For the area of a traingle, we use the equation 1/2 base times height. For triangle ABE we do this:

\(A = \frac{1}{2} (12)(4)\)

\(A = (6) (4)\)

\(A = 24\)

For triangle BDC, we do this:

\(A = \frac{1}{2} (6) (2)\)

\(A = (3) (2)\)

\(A=6\)

Now we have to add both areas ot get A=30 sq cm

Answer:20

Step-by-step explanation:this is wrong

Answer:

40

Step-by-step explanation:

subtract median of dogs and median of cats

Answer:

(a) To find the mean of the data set, sum up all the values and divide by the total number of values.

44 + 44 + 54 + 54 + 65 + 39 + 54 + 44 = 398

Mean = 398 / 8 = 49.75

Rounded to one decimal place, the mean of this data set is 49.8.

(b) To find the median of the data set, i need to arrange the values in ascending order first:

39, 44, 44, 44, 54, 54, 54, 65

The median is the middle value in the sorted data set. In this case, we have 8 values, so the median is the average of the two middle values:

(44 + 54) / 2 = 98 / 2 = 49

Rounded to one decimal place, the median of this data set is 49.0.

(c) To determine the modes of the data set, identify the values that appear most frequently.

In this case, the mode refers to the value(s) that occur(s) with the highest frequency.

From the data set, i see that the value 44 appears three times, while the value 54 also appears three times. Therefore, there are two modes: 44 and 54.

Answer:

dd

Step-by-step explanation:

4l

The required graph is attached below.

Given that,

Quarterback Susie has a bad attitude and often gets fined for bad sportsmanship.

And the table of cost is given,

Cost of fine       Number of fines

    1                              1

    2                             4

    3                              1

We know that,

A graph is a form of figure used to show accumulated data. This data might be quantitative or qualitative, which means that graphs can be utilized for a variety of purposes.

This is why there are numerous sorts of graphs, such as bar graphs, line graphs, area graphs, pictographs, and others.

To plot this data,

Label number 0, 1 , 2, 3, 4... on a number line

Which represents the cost of fine in thousands of dollars.

And plot the graph according to the given data.

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Answer:

0.12 x 84

Step-by-step explanation:

first turn 12 percent into a decimal = 12 divided by 100 = 0.12

Then 0.12 by 84= 10.08

The equation to find 12% of 84 would be 0.12 x 84 = 10.08

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We need to find the equation to find 12% of 84.

Now first turn 12 percent into a decimal

= 12 divided by 100

= 0.12

Then It can be written by

0.12 by 84

0.12 x 84 = 10.08

Therefore, the number would be 5.6

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