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What is the slope of the line passing through (0, 5) an d(-12, 2) ?


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Answer:

x=0.7

Step-by-step explanation:

Answer:

\(\sqrt[9]{x^{7} }\)

Step-by-step explanation:

Hope this helps

Answer:

57327392393629324

Step-by-step explanation:

A person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

How to determine the amount of carpet needed for a rectangular room?

To determine the amount of carpet needed for a rectangular room, you need to convert the measurements to the same unit of measurement. Since the carpet is sold in square yards, we need to convert the dimensions of the room to yards.

The length of the room is given in yards, so we don't need to make any conversions for that dimension. However, the width of the room is given in feet, so we need to convert it to yards by dividing by 3 (since there are 3 feet in a yard),

18 feet ÷ 3 feet/yard = 6 yards

So the dimensions of the room in yards are 10 yards by 6 yards.

To find the total area of the room, we need to multiply the length and width,

10 yards × 6 yards = 60 square yards

Therefore, a person would need to buy 60 square yards of carpet for a rectangular room with dimensions of 10 yards by 18 feet.

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Answer:

-14

4(6-10)+2

6-10 = -4

-4(4)=-16

-16+2=-14

Answer:

The answer is -14.

Step-by-step explanation:

First, you substitute 6 for x.

4(6-10)+2 = -14

Then, you subtract 6 from 10 in the parenthesis.

4(-4)+2= -14

Then, you multiply 4 x -4.

-16+2= -14

Then you add -16 + 2.

-14 = -14

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The height of the tree after 6 years can be expressed as "3 feet + 6f feet."

The correct answer is A. 3f + 6 feet.

To determine the current height of the tree in terms of "f,"

let's analyze the given information.

We know that the tree was initially 3 feet tall when it was planted 6 years ago.

Since the tree grows every year, we can assume that its growth rate is consistent.

Let's denote the current height of the tree as "h" (in feet).

After 6 years, the tree has grown by a certain amount, which we'll represent as "6f" (6 years multiplied by the growth rate "f").

Therefore, the height of the tree after 6 years can be expressed as "3 feet + 6f feet."

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The original dimensions of the piece of metal were 15 inches by 20 inches.

To solve this problem, we can use the given information to set up an equation. Let's assume that the width of the rectangular piece of metal is x inches. According to the problem, the length of the piece of metal is 5 inches longer than its width, so the length would be (x+5) inches.

When squares with sides 1 inch long are cut from the four corners, the width and length of the resulting box will be reduced by 2 inches each. Therefore, the width of the box will be (x-2) inches and the length will be ((x+5)-2) inches, which simplifies to (x+3) inches.

The height of the box will be 1 inch since the flaps are folded upward.
Now, let's calculate the volume of the box using the formula Volume = length * width * height.

Substituting the values, we have:

234 = (x+3)(x-2)(1)

Simplifying the equation, we get:

234 = x^2 + x - 6

Rearranging the equation, we have:

x^2 + x - 240 = 0

Now, we can solve this quadratic equation either by factoring or by using the quadratic formula. Let's use factoring to find the values of x.

Factoring the equation, we have:
(x+16)(x-15) = 0
Setting each factor equal to zero, we get:
x+16 = 0 or x-15 = 0
Solving for x, we have:
x = -16 or x = 15
Since the width cannot be negative, we take x = 15 as the valid solution.
Therefore, the original dimensions of the piece of metal were 15 inches in width and (15+5) = 20 inches in length.

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Answer:

here are 117,600 ways the runners can finish first, second, and third in the race.

Step-by-step explanation:

The number of ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations. In this case, we are interested in selecting 3 runners from a group of 50.

The number of ways to choose the first-place finisher is 50 because any of the 50 runners can finish first. After one runner is selected for the first place, there are 49 remaining runners.

For the second-place finisher, there are 49 remaining runners to choose from since one runner has already been selected for the first place. Thus, the number of ways to choose the second-place finisher is 49.

Similarly, for the third-place finisher, there are 48 remaining runners to choose from since two runners have already been selected for the first and second places. Hence, the number of ways to choose the third-place finisher is 48.

To determine the total number of ways the runners can finish in first, second, and third places, we multiply the number of choices for each position: 50 * 49 * 48 = 117,600.

Therefore, there are 117,600 ways the runners can finish first, second, and third in the race.

Answer:

\(b.\ cos 70 =\dfrac{4}x\) is the correct answer.

Step-by-step explanation:

First of all, let us label the diagram as shown in the attached figure.

OR = 20'

QS = 16'

\(\triangle OPQ\) is the right angled triangle that we get.

\(\angle P=90^\circ\)

\(\angle O =70^\circ\)

From the given figure symmetry, we can clearly see that:

Side OP = OR - QS

OP = 20 - 16 = 4'

Now, let us use trigonometric identity of cosine in \(\triangle OPQ\).

\(cos\theta = \dfrac{Base}{Hypotenuse}\)

\(cosO= \dfrac{OP}{OQ}\\\Rightarrow cos70^\circ= \dfrac{4}{OQ}\)

Let the distance of ramp, OQ = x'

So, the above ratio becomes:

\(cos70^\circ= \dfrac{4}{x}\)

So, the correct answer is:

\(b.\ cos 70 =\dfrac{4}x\)

Answer:

radius = 8.5 in

Step-by-step explanation:

the diagonal of the tablecloth will be the diameter of the table.

diagonal² = 15² + 8² = 225 + 64 + 289

diagonal = √289 = 17 in

radius = 17/2 = 8.5 in

The diameter of the table is 17 inches (0.43 m). Then the radius of the circular table will be 8.5 inches (0.22 m).

The radius of a circle is the distance between the center and the circumference.

It is a polygon with four sides. A rectangle's opposite sides are parallel and equal, and each angle is 90 degrees.

A 15-inch by 8-inch tablecloth is placed on a circular table.

Each of the four corners of the tablecloth touch the edge of the table.

That is shown in the diagram.

The diameter d is measured by the Pythagoras theorem.

d² = 15² + 8²

d² = 225 + 64

d² = 289

d² = 17²

 d = 17 inches

The diameter of the circle is 17 inches.

The radius is the half of the diameter. Then the radius will be

r = d / 2

r = 17 / 2

r = 8.5 inches

Thus, the radius of the circular table will be 8.5 inches.

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The requried volume of the pedestal is 135 cubic inches.

Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.

Here,
The volume of a triangular prism is given by the formula V =base x h, where the base is the area of the base and h is the height of the prism.

In this case, the area of the base is given as 9 in², and the height of the prism is given as 15 inches.

Therefore, the volume of the pedestal is:

V = base x h

V = 9 in² x 15 inches

V = 135 cubic inches

So the volume of the pedestal is 135 cubic inches.

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The size 7 and 7 1/2 shoes are 0.18 inches shorter than each other in length.

To find the difference in length between a size 7 and a size 7 1/2 shoe,

simply subtract the length of the size 7 shoe from the length of the size 7 1/2 shoe.

Length of size 7 1/2 shoe = 9 1/5 inches

Length of size 7 shoe = 9.02 inches

Difference in length

= Length of size 7 1/2 shoe - Length of size 7 shoe

= 9 1/5 inches - 9.02 inches

To subtract these two measurements, ensure they have the same denominator:

9 1/5 inches

= 9 + 1/5 inches

= 9.2 inches

Now, calculate the difference:

Difference in length

= 9.2 inches - 9.02 inches

= 0.18 inches

Therefore, the difference in length between a size 7 and a size 7 1/2 shoe is 0.18 inches.

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Answer:

a. 6276

b. 5590

c. 23128

d. 17325

e. 15090

f. 40419

g. 10496

h. 15000

i. 15648

99% sure

Answer:

Step-by-step explanation:

uhh

Answer:

Step-by-step explanation:

The probability that a moose in an age group is killed by a moose is as follows;

0 - 5 = 0.358

1 - 5 = 0.172

6 - 10 = 0.25

11 - 15 = 0.213

16 20 = 0.007

Probability is calculated by accounting for the number of possibilities that an event will occur and dividing the result by the total chances of such an event occurring.

So, for all the cases, we will use this formula.

Total events (Number killed by wolves across all age groups) = 296

For number one we have:

106/296 = 0.358

51/296 = 0.172

74/296 = 0.25

63/296 = 0.213

2/296 =  0.007

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The equivalent equation to the given one is:

h = A*t/(b - c)

We want to find an equation equivalent to the one below:

A = h*(b - c)/t

If we solve the equation for t, we would get:

t  = h*(b - c)/A

If we solve the equation for h, we will get:

h = A*t/(b - c)

If we solve the equation for b, we will get:

A = h*(b - c)/t

A*t/h = b - c

A*t/h + c = b

And if we solve it for c, we will get:

c = b - A*t/h

Then the correct option is the last one;

h = A*t/(b - c)

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Answer:

11/2 times 1/3 is 11/6

Step-by-step explanation:

11/2 times 1/3,

We have to multiply the numerators and denominators,

\((11/2)(1/3) = (11*1)/(2*3) = 11/6\\11/6\)

hence we get 11/6

Answer:

Step-by-step explanation:

The total number of parts is 5+8+12 = 25, so the fractions are ...

  5/25 × 1,220,000 = 244,000

  8/25 × 1,220,000 = 390,400

  12/25 × 1,220,000 = 585,600

Least to greatest, the parts are ...

Answer:

(x-8)(x-8) are the factors of the following biominals

Answer:

Step-by-step explanation:

The greatest common factor of 8x and 4y is given by;

GCF = 2.

The greatest common factor(GCF) of two numbers is simply the highest factor that is common to the 2 numbers.

Let us list the factors of both numbers.

Factors of 8x = 1, 2, 4, 8, x

Factors of 4y = 1, 2, 4, y

Now, looking at the factors of both 8x and 4y, we can see that the only common factor between both of them is 2.

Thus, we can conclude that the greatest common factor(GCF) of 8x and 4y is 2.

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Answer:

3 mark me brainlest

Step-by-step explanation:

Answer:

It is the 3rd one I think

Step-by-step explanation:

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Answer:

Pair of compasses.

Step-by-step explanation:

These are used to inscribe circles/arcs.

Compasses are used in maths, navigation,e.t.c.

Hope it helps.

Answer:

(- 3, 1.5)

--------------------------

Given system:

The first expression is ready to be substituted as no further operation is required to simplify it.

Find x:

Answer:

50.24 feet^2

Step-by-step explanation:

let radius of the basketball court be r feet.

circumference = 2 x 3.14 x r

25.12 = 6.28r

r = 4

therefore, area = 3.14 x 4^2 = 50.24feet^2

Topic: Mensuration (Properties of circles)

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Answer:

area is 50.24 feet^2

Step-by-step explanation:

Circumference of the logo=25.12

2πr=25.12

r=25.12/(2×3.14)

r=25.12/6.28

r=4feet

So area of logo=πr^2

=3.14×4×4

=3.14×16

=50.24feet^2

So the area is 50.24 feet^2

The joint relative frequency is calculated by dividing the frequency of a specific subset (in this case, the number of adults who prefer watermelon) by the total number of data points.

Here, the specific subset is adults who prefer watermelon, which is 111. The total number of data points is the sum of all children and adults, regardless of fruit preference, which is 445.

So, to find the joint relative frequency of being an adult who prefers watermelon, you would divide 111 by 445.

Hence, the correct answer is:

C. Divide 111 by 445.

Answer:

Step-by-step explanation:

Side of the first triangle = 48/3 = 16 in

Side of the inner triangles, common ratio is 1/2:

16, 8, 4, 2

Perimeter of the triangles:

48, 24, 12, 6

Sum of perimeters:

Answer:

90 inches

Step-by-step explanation:

first triangle perimeter: 48

cut that in half for the next one: 24

next: 12

final: 6

add all of that together and you get 90

The order of the matrices of each product is given as follows:

AB is nonexistent, BA is nonexistent.

Multiplication of matrices is applied multiplying the rows of the first matrix by the columns of the second matrix, and hence the number of columns of the first matrix must be equal to the number of rows of the second matrix.

For the product AB, we have that:

Hence the product is nonexistent.

For the product BA, we have that:

Hence the product is nonexistent.

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