Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is ✔ 1/2 . The equation of line p is y = 1/2x +

The volume of the 'scooped' pyramid is approximately 26.6667 cubic units.

To find the volume of the 'scooped' pyramid, we first need to determine the area of its base. Since the cross-sectional area of the pyramid is x 4 at a distance x from the tip, we can assume that the area at the tip is zero. This means that the area of the base is 4 times the area at a distance of 5 from the tip (since the distance from tip to base is 5).

Therefore, the area of the base is 4x4 = 16 square units. To find the volume, we can use the formula for the volume of a pyramid, which is:

Volume = (1/3) x Base Area x Height

In this case, the height of the pyramid is 5 units. So, we can substitute the values we have:

Volume = (1/3) x 16 x 5

Volume = 26.6667 cubic units

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Multiply the original by the first 50% discount:

40,000 x 0.5 = 20,000

Now multiply that by the second 50 % discount:

20,000 x 0.5 = 10,000

The price would be 10,000 rupees

Answer:

Step-by-step explanation:

\(\frac{50}{100}\) × 40 000 = 20 000

Answer:

40 cm²

Step-by-step explanation:

Let,

length ( l ) = 4 cm

Height ( h ) = Width ( w ) = 2 cm

To find : Surface are of cuboid : -

Formula : -

Surface are of cuboid = 2 [ lh + hw + wl ]

Surface are of cuboid

= 2 [ ( 4 )( 2 ) + ( 2 )( 2 ) + ( ( 2 )( 4 ) ]

=  2 [ 8 + 4 + 8 ]

= 2 [ 20 ]

= 2 x 20

= 40 cm²

Answer: c

Step-by-step explanation:

If she follows the path shown by the dotted line in the graph, the distance from her house to the store would be = 128m. That is option B.

To calculate the distance between her house and the store the Pythagorean formula should be used which is given as follows;

C² = a² + b²

where;

a= 80

b= 100

c= ?

That is;

c²= 80²+100²

= 6400+10000

= 16,400

c = √16400

= 128.1m

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Answer:

B = x = 44 degrees

Step-by-step explanation:

Interior angles of a triangle = 180 degrees.

There are 2 congruent sides so the angle to the right of 67 degrees is also 67 degrees

180 - 2(67) = 46 degrees (the third angle of the triangle)

x + 46 degrees = 90 degrees ( complementary angles)

x = 44 degrees

Answer:

just look at the picture

Step-by-step explanation:

Answer:

You can do it on a graphing calculator.

Step-by-step explanation:

I can't put a link on here, but I put an image for the link to an online graphing calculator.

Also, here is the picture of the graph.

Answer:

A

Step-by-step explanation:

Because they will be assigned to a renter, represented by each of their unique identity.  Each mail box will received different mails addressed to their owners.

if the mail boxes are all nameless and not for rent, and just sit there used as bins to collect mails, i.e., ALL identical, then they will be quantitative.

Answer:

144°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 10, thus

sum = 180° × 8 = 1440°

1 interior angle = 1440° ÷ 10 = 144°

Answer:

D. 4

Step-by-step explanation:

\(f(3) = {3}^{2} - 3(3) + 4 = 9 - 9 + 4 = 4\)

Answer:

F(3) exists in the second graph where x is defined in the closed interval 1 and 3

Step-by-step explanation:

\(f(3) = {3}^{2} - 3(3) + 4 \\ \\ = 9 - 9 + 4 \\ f(3) = 4\)

Option C Is the solution

The sorting algorithms that are not comparison based are counting sort, bucket sort, and radix sort.

Counting sort works by counting the number of occurrences of each element in an array and then using this information to determine the position of each element in the sorted array.

Bucket sort works by dividing the array into a number of smaller arrays, called buckets, and then sorting each of these smaller arrays separately.

Radix sort works by sorting the elements of an array based on the individual digits of each element, starting with the least significant digit and working up to the most significant digit.

These algorithms do not rely on comparisons between elements, which is why they are not considered comparison based.

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The sum of angle 36 degree and 3x is equal to 180 degree. So equation for x is,

Simplify the equation for x.

So value of x is 48.

The equation is 3x + 36 = 180 and value of x is 48.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Any three points in a plane can be connected to create triangles, which have three sides and three angles. They were one of the very first geometric shapes to be studied. They are particularly important because any polygon, whether it has four, five, six, or n sides, may be split into a triangle.

Here,

Because angles 1 and 2 are close to one another, they are neighboring angles.

A They share a side and are near to each other, making them neighboring angles.

B. The angles are complimentary (add to 90 degrees) False—Angle 2 has a 90 degree angle.

C. They are additional angles. (add to 180) They do not create a straight line, which is untrue.

D. Vertical angles describe them. (Contrary angles) False, they are not created through the intersection of lines.

Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

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Answer:

5 feet

Step-by-step explanation:

By triangle inequality, the sum of lengths of any two sides has to be strictly greater than the length of the third side.

Let x feet be the length of the third side.

We have 3+x>7, x+7>3 and 3+7>x.

Solving these, we get x > 4, x > -4 and x < 10.

The solution is therefore 4 < x < 10 and the smallest whole number which satisfies the inequality is 5.

Therefore the answer is 5 feet.

Answer:

the awnser is 300

Step-by-step explanation:

Answer:

300 points

Step-by-step explanation:

Answer:

am sorry i dont know i just came for the coins bye

Step-by-step explanation:

Based on the information given, we know that 30% of all farms are family-owned. Therefore, the probability of any given farm being family-owned is 0.3.

To find the probability that exactly three out of 12 farms are family-owned, we can use the binomial probability formula:

P(X = k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X = k) is the probability of getting exactly k successes (in this case, k = 3)
- n is the total number of trials (in this case, n = 12)
- p is the probability of success on any given trial (in this case, p = 0.3)
- (n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items

Plugging in the values, we get:

P(X = 3) = (12 choose 3) * 0.3^3 * 0.7^9
= (220) * 0.027 * 0.057
= 0.4208

Therefore, the probability that exactly three out of 12 farms are family-owned is approximately 0.4208 or 42.08%.

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The conjecture of 2, 3, 5, 7, 11, 13 is that these are prime numbers. The complete sequence is  2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31 .

Any natural number higher than 1 that is not the product of two smaller natural numbers is known as a prime number (or a prime).

The given numbers and their factors are:

2 = 2 × 1

3 = 3 × 1

5 = 5 × 1

7 = 7 × 1

11 = 11 × 1

13 = 13 × 1

17 = 17 × 1

Hence we can conclude that all the numbers given are prime numbers.

The next prime numbers are : 17 ,19 , 23 , 29 , 31 .

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a) 108°

Answer:

b) 54°

Step-by-step explanation:

a) By arc sum property of a circle.

\( m\widehat {AEB} + m\widehat {AB} = 360°\\

252° + m\widehat {AB} = 360°\\

m\widehat {AB} = 360°- 252°\\

\huge \red {\boxed {m\widehat {AB} = 108°}} \\\)

b) In the given figure, DC is tangent to the circle with O at point A and AB is chord or secant. Therefore, by tangent secant theorem:

\( m\angle BAC = \frac{1}{2} \times m\widehat {AB}\\\\

\therefore m\angle BAC = \frac{1}{2} \times 108°\\\\

\huge \purple {\boxed {m\angle BAC = 54°}} \)

\( {x}^{8} + {x}^{4} + 1 - (24)(7) - 45\)

the simplest form.

\( {x}^{8} + {x}^{4} + 1 - (24)(7) - 45\)

\( = {x}^{8} + {x}^{4} + 1 - 168 + - 45\)

\( = ( {x}^{8} ) + ( {x}^{4} ) + (1 + - 168 + - 45)\)

\( = {x}^{8} + {x}^{4} - 212\)

The inequality of the graph from the boundary line is y ≤ x - 3

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

Boundary line: y = x  - 3

This means that

The inequality can be any of the following

y > x - 3

y < x - 3

y ≥ x - 3

y ≤ x - 3

In this case, we make use of y ≤ x - 3

So, we plot the graph

See attachment for the graph of the inequality expression y ≤ x - 3

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Answer:

10 times

Step-by-step explanation:

1km=1000m

3*1000=3000m

3000/300=10

you will need to run 10 times around the field

Answer:

Ya dig?

Step-by-step explanation: You gon choose me baby.

The 95% confidence interval for the population proportion in this problem is given as follows:

(0.467, 0.631).

This means that we are 95% confident that the population mean is between 0.467 and 0.631.

A confidence interval of proportions has the bounds given by the rule presented as follows:

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which the variables used to calculated these bounds are listed as follows:

The confidence level is of 95%, hence the critical value z is the value of Z that has a p-value of \(\frac{1+0.95}{2} = 0.975\), so the critical value is z = 1.96.

The parameters for this problem are given as follows:

\(n = 142, \pi = \frac{78}{142} = 0.549\)

The lower bound of the interval is given as follows:

\(0.549 - 1.96\sqrt{\frac{0.549(0.451)}{142}} = 0.467\)

The upper bound of the interval is given as follows:

\(0.549 + 1.96\sqrt{\frac{0.549(0.451)}{142}} = 0.631\)

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Answer:

\(X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\\)

Step-by-step explanation:

Given the simultaneous equation

x+y=21

5x+4y=20

To write in matrix form, it must be in the form AX= b

X = A⁻¹b

A⁻¹ is the inverse of matrix A

A is a 2by2 matrix

X is the variables

b is a column matrix

The expression will therefore be written as;

\(A=\left[\begin{array}{ccc}1&1\\5&4\\\end{array}\right] \\\\|A| = 1(4)- 5(1)\\|A| = 4-5\\|A| = -1\\A^{-1} = -\left[\begin{array}{ccc}4&-1\\-5&1\\\end{array}\right] \\\\A^{-1} = \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \\\)

Hence the required product matrix that represent X is;

\(X= \left[\begin{array}{ccc}-4&1\\5&-1\\\end{array}\right] \left[\begin{array}{ccc}21\\20\\\end{array}\right] \\\)

Answer:

196.48

Step-by-step explanation:

Area of the semi-circle:

A= (πr^2)/2

A= (3.14 x 64)/2

A= 100.48

Area of triangle:

A= 1/2bh

A= 1/2(16)(12)

A= 96

96 + 100.48= 196.48

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Step-by-step explanation:

Area of the given figure= area of semicircle + area of triangle

= 1/2 py r²+ 1/2 × b× h

= 1/2×22/7×8+1/2×16×12

= 760/7 m²

Answer:

OB. (3, 1)

Step-by-step explanation:

The rule for translating 1 unit left and 3 units up is (x-1, y+3)

So we just apply that to B

B(4, -2)

B'(4-1,-2+3) or B'(3,1)

The area of the parallelogram is 500 in squared

A parallelogram is a four sided polygon that has opposite sides parallel to each other.

The formula for the area of a parallelogram is base times height, just like the formula for the area of a rectangle.

A= bh

From the figure, b = 20 in, h= 25 in

Area = 20*25 = 500 in square

Conclusively, taking into consideration the height of the parallelogram as 25 in and the base as 20 in, the area is given as 500 in square

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Answer:

$12.60

Step-by-step explanation:

average price of a gallon of orange juice in Boston = average price in NJ + value of percentage increase over NJ's price

value of percentage increase over NJ's price  = 110% x $ 6

= 1.10 x $6 = 6.6

6.6 + 6 = $12.60