The perimeter of a rectangle is 34 units. Its width is 6.5 units.

Write an equation to determine the length of the rectangle

According to the information, the values that coincide are: 2.2 meters with 2200 millimeters, 14 decimeters with 0.014 hectometers, 0.14 meters with 0.014 decameters, 0.022 decameters with 22 centimeters.

To find the numbers that match we must take into account the relationship between the values:

According to the above, we can infer that the values that match are:

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Answer:

Step-by-step explanation:

(x+3)^2=49

x+3=√(49)

x+3=√(7^2)

x+3=7

x+3-3=7-3

x+3=-√(49)

x+3=-7

x+3-3=-7-3

x = 4,-10

Answer:

The correct equation that represents the relationship between b and f is:

Ob = (3/2)f

Explanation:

We know that Priya uses 4 cups of flour to make 3 loaves of banana bread.

So, the amount of flour required per loaf of bread is 4/3 cups.

Now, if Andre makes b loaves of bread using f cups of flour, then the amount of flour required per loaf of bread is f/b cups.

We can set up a proportion as follows:

4/3 = f/b

Cross multiplying, we get:

4b = 3f

Dividing both sides by 3, we get:

b = (3/4)f

This means that Andre can make (3/4) loaves of bread per cup of flour.

But the question asks for the relationship between b and f, so we need to rearrange the equation:

b = (3/4)f

Multiplying both sides by (2/3), we get:

(2/3)b = (1/2)f

Simplifying, we get:

Ob = (3/2)f

Therefore, the correct equation that represents the relationship between b and f is Ob = (3/2)f.

Based on the information provided, the total length of the worms would be 6 1/2 inches.

The graph presented shows the length of the worms Abe measured, based on the graph we know that the shortest worm was 2.125 inches, while the longest worm was 2.875 inches. Using this information, let's now add the three shortest worms together:

2.125  inches + 2.125  inches + 2.25 inches = 6.5 inches in total, which can be expressed ad 6 1/2.

Based on this, the total length of the three shortest worms would be 6 1/2.

Note: This question is incomplete; here is the complete question:

Abe measured the lengths of several worms. He made this line plot to display his measurements. Abe laid the three shortest worms together end to end. What is the total length of these three worms?

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The data set that has the largest range is C. 5, 6, 75, which is calculated as 75 - 5 = 70.

To find the largest range, we need to calculate the difference between the highest and lowest value in each data set and compare them.

A. For 14, 19, 18, 35, 32, 38, 40, we have:

Range = 40 - 14 = 26

B. For 102, 105, 103, 110, we have:

Range = 110 - 102 = 8

C. For 5, 6, 75, we have:

Range = 75 - 5 = 70

D. For 1, 9, 2, 5, 4, 19, 2, 4, 3, we have:

Range = 19 - 1 = 18

Therefore, data set C has the largest range of 70.

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Answer:

Step-by-step explanation:

Part A:

Let's assume that the velocity of the runner changes linearly over time. We can use the slope-intercept form of a linear equation, y = mx + b, to describe the velocity of the runner at different times. In this case, the y-axis represents the velocity in km/h and the x-axis represents time in hours. We can define:

y = velocity of the runner in km/h

x = time in hours

The velocity of the runner changes by -2/3 km/h for every hour that passes. This gives us a slope of -2/3. We can use the point-slope form of a linear equation to find the equation of the line:

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

Simplifying this equation, we get:

3y - 15 = -2x + 2

Rearranging to standard form, we get:

2x + 3y = 17

So the equation in two variables in standard form that can be used to describe the velocity of the runner at different times is 2x + 3y = 17.

Part B:

To graph the equation obtained in Part A for the first 5 hours, we can simply plot points for different values of x and y. For example, we can use x = 0, 1, 2, 3, 4, and 5 to find the corresponding values of y using the equation 2x + 3y = 17. Then we can plot these points on a graph and connect them with a straight line.

Here are the values of y for different values of x:

x = 0, y = 17/3

x = 1, y = 5

x = 2, y = 13/3

x = 3, y = 3

x = 4, y = 7/3

x = 5, y = 1

Plotting these points and connecting them with a straight line, we get the graph of the equation 2x + 3y = 17 for the first 5 hours:

|

6.0 -| .

| .

5.5 -| .

| .

5.0 -| .

|.

4.5 -|

|

4.0 -| .

| .

3.5 -| .

| .

3.0 -| .

|.

2.5 -|

|

2.0 -| .

| .

1.5 -| .

| .

1.0 -|.

|

0.5 -|

|

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

0 1 2 3 4 5

The y-intercept of the line is 17/3, which represents the initial velocity of the runner at time 0. The slope of the line is -2/3, which represents the rate of change of the velocity over time.

Answer: CLICK THANKS IF YOU LIKE MY ANSWER. HAVE A GOOD DAY SIR/MAAM #KEEPSAFE

Part A:

Let v be the velocity of the runner in km/h and let t be the time elapsed in hours. We can use the two given data points to form a system of two equations:

v = 5 when t = 1

v = 3 when t = 3

To find the equation in standard form, we can first use point-slope form:

v - 5 = m(t - 1) (using the point (1, 5))

v - 3 = m(t - 3) (using the point (3, 3))

Simplifying both equations:

v - 5 = m(t - 1)

v - 3 = m(t - 3)

v = mt + (5 - m)

v = mt + (3m - 3)

Setting the right-hand sides equal to each other:

mt + (5 - m) = mt + (3m - 3)

Simplifying and rearranging:

-m = -2

m = 2

Substituting m = 2 into one of the equations above:

v = 2t + 3

This is the equation in two variables in standard form that describes the velocity of the runner at different times.

Part B:

To graph the equation v = 2t + 3 for the first 5 hours, we can plot points for different values of t and then connect them with a line. For example:

When t = 0, v = 3, so the point (0, 3) is on the line.

When t = 1, v = 5, so the point (1, 5) is on the line.

When t = 2, v = 7, so the point (2, 7) is on the line.

When t = 3, v = 9, so the point (3, 9) is on the line.

When t = 4, v = 11, so the point (4, 11) is on the line.

When t = 5, v = 13, so the point (5, 13) is on the line.

Plotting these points on a coordinate plane and connecting them with a line, we get the graph of the equation v = 2t + 3 for the first 5 hours:

    |

 15 +-------*

    |       |

 13 +           *

    |           |

 11 +               *

    |               |

  9 +                   *

    |                   |

  7 +                       *

    |                       |

  5 +                           *

    |                           |

  3 +---------------*-----------*

    0   1   2   3   4   5   6   7

The x-axis represents time (t) in hours, and the y-axis represents velocity (v) in km/h. The line starts at (0, 3) and has a slope of 2, indicating that the velocity is increasing by 2 km/h for every hour that passes.

Step-by-step explanation:

Answer: 19

Step-by-step explanation:

number 19 is a prime number

Hello and Greetings YourDeath1.

The prime number is the number 19, since it is only divisible by 1 and itself, while the other numbers (14, 10, and 20) are divisible by other numbers besides 1 and themselves, making them composite numbers.

We are going to have which of the options in a prime number.

A prime number is a natural number greater than 1 that has exactly two different divisors, that is, it is only divisible by 1 and itself.

Prime numbers are important in mathematics and cryptography, since they are the basis for the factorization of integers and the security of encryption systems.

1. The number 19 is a prime number because it is only divisible by 1 and itself. That is, it has no more exact divisors than these two numbers. There is no other number that can divide 19 without leaving a remainder.

2. The number 14 is a composite number because it has more than two exact divisors. In this case, 14 is divisible by 1, 2, 7, and 14. Therefore, it is not a prime number.

3. The number 10 is a composite number because it has more than two exact divisors. In this case, 10 is divisible by 1, 2, 5, and 10. Therefore, it is not a prime number.

The number 20 is a composite number because it has more than two exact divisors. In this case, 20 is divisible by 1, 2, 4, 5, 10, and 20. Therefore, it is not a prime number.

The prime number is the number 19, since it is only divisible by 1 and itself, while the other numbers (14, 10, and 20) are divisible by other numbers besides 1 and themselves, making them composite numbers.

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Answer:

5683200

Step-by-step explanation:

Move the decimal 4 places to the right because [tex]10^4[/tex] has 4 zeros.

Answer:

7.2×10^-3

Step-by-step explanation:

8 × 10^4×9 × 10^–8

=8×9×10^(4-8)

=72×10^-4

=7.2×10^-3

Area of shaded region of the cuboid is 15cm², based on the given volume.

A cuboid is a solid form or a three-dimensional shape in geometry. A cuboid is a convex polyhedron that has six rectangular sides, eight vertices, and twelve edges. Another name for a cuboid is a rectangle prism. A cube is a cuboid with six square sides. A rectangular cube is a real-world illustration of a cuboid.

Each object in three dimensions takes up some room. The volume of this area is what is being evaluated. The area occupied within an object's boundaries in three dimensions is referred to as its volume. It is also referred to as the object's potential.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a container, aquarium, or water tank.

Given volume of cuboid=75cm³

volume of cuboid is given by = lbh=75

where

l-length

b=breadth

h=height

h= 5cm

lbh=75

lb(5)=75

lb=75/5=15

we know that area of shaded region is given by l×b.

therefore the area=lb=15cm²

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Kenny will spend $4,593.75 on fencing the dilated rectangle.

What is rectangle ?

A rectangle is a quadrilateral with four right angles (90-degree angles) and opposite sides of equal length. It is a type of parallelogram in which both pairs of opposite sides are parallel and congruent (of equal length). The opposite sides of a rectangle are also perpendicular (form a right angle) to each other. The area of a rectangle is equal to the product of its length and width, while its perimeter is equal to the sum of the lengths of all its sides. Rectangles are commonly used in geometry, architecture, engineering, and many other fields.

According to the question:
Since each unit on the graph represents 25 feet, the dimensions of the original rectangle ABCD are:

AB = 4 units, which represents 4 x 25 = 100 feet

BC = 3 units, which represents 3 x 25 = 75 feet

Therefore, the perimeter of ABCD is 2(AB + BC) = 2(100 + 75) = 350 feet.

When dilating by a scale factor of 2.5, each dimension of ABCD will be multiplied by 2.5. Therefore, the dimensions of the dilated rectangle A'B'C'D' are:

A'B' = AB x 2.5 = 100 x 2.5 = 250 feet

B'C' = BC x 2.5 = 75 x 2.5 = 187.5 feet

The perimeter of A'B'C'D' is 2(A'B' + B'C') = 2(250 + 187.5) = 875 feet.

Therefore, Kenny will need to fence a perimeter of 875 feet. At a cost of $5.25 per foot, the total cost of fencing will be:

875 feet x $5.25/foot = $4,593.75

Therefore, Kenny will spend $4,593.75 on fencing the dilated rectangle.

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Answer:$59.66

Step-by-step explanation:

Answer:

To find the volume of Leah's new planter, we need to multiply the length, width, and height of the container:

V = 15 m x 4 m x 8 m x 11 m x 3 m

V = 11,880 cubic meters

Therefore, the total volume of Leah's new planter is 11,880 cubic meters.

Let's represent the volume of the large box as x cubic inches. Since the total volume of both boxes is 212 cubic inches, we can set up the following equation:

8 x 4 x 2 + x = 212

Simplifying the left side, we get:

64 + x = 212

Subtracting 64 from both sides, we get:

x = 148

Therefore, the volume of the large box is 148 cubic inches.

Answer:

Step-by-step explanation:

ex  2

        4444

2

 4444

Yes, that's correct I even tried to show you.

The 2 is the bags of candy

4 pieces of candy per bag

equals to 8 in total

The statements that are correct are:

m∠ACB = 44° (Option B)

m∡AC = 156° (Option C)

A) m∠ACB = 44° is correct because the Circle Theorem indicates that the angle at the center is twice or double the one at the circumference.

Since, the one at the center is already 88°, thus, the one at the angle at the circumference = 88°/2 = 44°

Hence, m∠ACB = 44° (Option B) is correct.


B) m∡AC = 156° (Option C)

To get this, we need to state,

360° - 116° - 88° = 156° (Option C)

C) m∡ BAC should be determined using Alternate Segment Theorem.

According to this theorem which states that the angle that lies between a tangent c and a chord is equal to the angle subtended by the same chord in the alternate segment,

∠BAC is supposed to be equal to ∠GAC - ∠GAB

That is:

∠BAC = 90° - 44°
∠BAC = 46°

However, this is questionable because, we have proven that ∠BAO = (180-88)/2 = 46° (Isoceles Δ BOA created by shared Radii)

Thus,

∠BAC = 46°  cannot be equal to ∠BAO.

Thus, the only right answers are:

Option B and

Option C.

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Full Question:

Although part of your question is missing, you might be referring to this full question: See the attached image.

Answer:

1/3

Step-by-step explanation:

Answer:

146.82 yards is the distance from tee to hole.

Step-by-step explanation:

Let A is the position of tee and where the golfer is standing.

C is the position of hole.

CB is the vertical distance between greens and tee.

Angle of elevation,

To find: side AC.

Using trigonometric functions, we know that value of sine is:

[tex]sin\theta=\dfrac{\text{Perpendicular}}{\text{Hypotenuse}}[/tex]

Here [tex]\theta=\angle BAC=15^\circ[/tex]

Perpendicular is side CB.

Hypotenuse is side AC.

[tex]\text{sin}12^\circ=\dfrac{\text{CB}}{\text{AC}}[/tex]

[tex]\implies\text{CB}=\dfrac{38}{\text{sin}15^\circ}[/tex]

[tex]\implies\text{CB}=146.82[/tex]

Hence, 146.82 yards is the distance from tee to hole.

Answer:

316

Step-by-step explanation:

Elijah's total earnings for the week if he made x dollars in sales would be: $500 + 0.3x.

What is sale?

A sale is an event or activity in which goods or services are sold at a reduced or discounted price.

What is discount?

A discount is a reduction in the price of an item or service. It is often offered as a promotion or incentive to encourage customers to buy or use a product or service.

Total sales commission earned by Elijah for selling $775 worth of clothing:

30% of $775 = 0.3 x $775 = $232.50

Therefore, Elijah's total earnings for the week would be:

$500 (guaranteed salary) + $232.50 (commission) = $732.50

For selling x dollars worth of clothing, the commission earned by Elijah would be:

0.3x

Therefore, Elijah's total earnings for the week if he made x dollars in sales would be:

$500 (guaranteed salary) + 0.3x (commission) = $500 + 0.3x

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Answer:

450

Step-by-step explanation:

The missing coordinate of line is r = 8.

A straight line is a geometrical object that extends infinitely in both directions and has no curvature or bending. It is a one-dimensional object that is defined by two points on the line, called its endpoints, or by its slope and a point on the line.

the slope formula to find the slope of the line given two points:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of two points on the line.

Plugging in the coordinates we have:

-4 = (-16 - r) / (1 - (-5))

Simplifying:

-4 = (-16 - r) / 6

Multiplying both sides by 6:

-24 = -16 - r

Adding 16 to both sides:

-8 = -r

Dividing both sides by -1:

r = 8

Therefore, the missing coordinate is r = 8.

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When event 1, 6, and 8 are checked, probability  P(X) equals 3/8.

When event 2, 3, 4,5, and 7 are checked, P(not X) equals 5/8.

Simply put, probability is the likelihood that something will occur. The study of events with a probability distribution is called statistics.

There are eight balls in the bag, numbered one to eight.

Five balls are grey, while the remaining ones are all white.

2,3,4,5, and 7 are the gray-colored balls.

The white coloured balls are 1, 6, and 8, and the probability of getting a grey ball is P(not X).

P(not X) = Chance of receiving a grey ball a) Calculate P(X) and P (not X)

1, 6, and 8 are verified for event X, and P(X) equals 3/8.

2,3,4,5, and 7 are tested for the event "not X," and P(not X) = 5/8.

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The surface area of the pyramid is 74.25 square meters.

Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.

A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.

In the given question,

The area of the base is simply the area of a square, which is:

Area of base = length x width = 4.5m x 4.5m = 20.25 square meters

To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).

We can use the Pythagorean theorem to do this:

h²= (1/2 x base)² + height²

h² = (1/2 x 4.5)² + 6²

h² = 2.25 + 36

h² = 38.25

h = √38.25

h = 6.18 meters (rounded to two decimal places)

Now that we know the slant height, we can find the area of each triangular face:

Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters

Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:

Total area of triangular faces = 4 x 13.5 = 54 square meters

Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:

Surface area = Area of base + Total area of triangular faces

Surface area = 20.25 + 54

Surface area = 74.25 square meters

Therefore, the surface area of the pyramid is 74.25 square meters.

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Answer: To find the points where the two skaters might collide, we need to find the values of x and y that satisfy both equations:

y = -3x + 8

y = -2x^2 + 7x

We can set the two equations equal to each other and solve for x:

-3x + 8 = -2x^2 + 7x

This simplifies to:

2x^2 - 10x + 8 = 0

Dividing both sides by 2, we get:

x^2 - 5x + 4 = 0

Factoring the left side, we get:

(x - 1)(x - 4) = 0

So the solutions for x are x = 1 and x = 4.

To find the corresponding values of y, we can substitute these values of x into either equation. Let's use y = -3x + 8:

When x = 1, y = -3(1) + 8 = 5

When x = 4, y = -3(4) + 8 = -4

Therefore, the two skaters might collide at the points (1, 5) and (4, -4).

Step-by-step explanation:

Answer:

correct answer

c. 0.07 × $350

A black bear's average adult weight is 4000 kilograms, or 250 pounds.

Average By adding a collection of numbers, dividing by their count, and then summing the results, the arithmetic mean is determined. For instance, the sum for 2, 3, 3, 5, 7, & 10 is equal to 30 split by 6, which equals 5.

If a male black bear's birth weight to adult weight ratio is 3:1000, the following sentence can be written:

weight at birth to adult weight is 3 to 1 000.

Let's calculate the normal adult weight using the information provided. Given that the typical birth is 12 ounces, we can establish the following ratio:

weight at birth to adult weight is 3 to 1 000.

Weight of an adult is 12: 3: 1000.

Cross-multiplying results in:

3 x adult weight is equal to 12,000

By multiplying both halves by 3, we obtain:

4000 ounces for an adult.

Divide by 16 to convert teaspoons to pounds:

Adult weight is equal to 4000 / 16 pounds, or 250 pounds.

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Answer:

27.75 miles

Step-by-step explanation:

(18 1/2 miles) / (2/3 hours) = (37/2 miles) × (3/(2 hours)) = 111/4 miles/hour

111/4 miles/hour = 27.75 miles/hour

Answer: 27.75 miles

The demand equation for commodity A is Xa = (4/10)Xb.

A demand equation is a mathematical representation of the relationship between the quantity of a good or service that consumers are willing to buy and the various factors that influence that demand, such as price, income, and preferences.

In the given question,

To find the consumer's demand equation for A, we need to use the utility maximization rule, which states that a consumer will allocate their budget in such a way as to maximize their total utility subject to their budget constraint.

Let Xa be the quantity of commodity A and Xb be the quantity of commodity B. We know that the consumer has $30 to spend, so the budget constraint is:

3Xb + pXa = 30

where p is the price of commodity A. We also know the utility function:

U = 4XgXb

To maximize U subject to the budget constraint, we can use the Lagrangian method:

L = 4XgXb + λ(30 - 3Xb - pXa)

where λ is the Lagrange multiplier.

To find the demand equation for A, we need to take the partial derivative of L with respect to Xa and set it equal to zero:

∂L/∂Xa = -λp = 0

This gives us λ = 0, which we can substitute back into the Lagrangian equation to get:

L = 4XgXb + 0(30 - 3Xb - pXa)

L = 4XgXb

To find the demand equation for A, we need to take the partial derivative of L with respect to p and solve for Xa:

∂L/∂p = -4XgXb/Xa = -30/3

Xa = (4/10)Xb

So the demand equation for commodity A is Xa = (4/10)Xb.

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The demand equation for commodity A is Xa = (4/10)Xb.

What is demand equation?

A demand equation is a mathematical formula that expresses the relationship between the quantity of a good or service that consumers are willing and able to purchase and various factors that affect that quantity, such as price, income, and the prices of other goods.

To find the consumer's demand equation for A, we need to use the utility maximization rule, which states that a consumer will allocate their budget in such a way as to maximize their total utility subject to their budget constraint.

Let Xa be the quantity of commodity A and Xb be the quantity of commodity B. We know that the consumer has $30 to spend, so the budget constraint is:

3Xb + pXa = 30

where p is the price of commodity A. We also know the utility function:

U = 4XgXb

To maximize U subject to the budget constraint, we can use the Lagrangian method:

L = 4XgXb + λ(30 - 3Xb - pXa)

where λ is the Lagrange multiplier.

To find the demand equation for A, we need to take the partial derivative of L with respect to Xa and set it equal to zero:

∂L/∂Xa = -λp = 0

This gives us λ = 0, which we can substitute back into the Lagrangian equation to get:

L = 4XgXb + 0(30 - 3Xb - pXa)

L = 4XgXb

To find the demand equation for A, we need to take the partial derivative of L with respect to p and solve for Xa:

∂L/∂p = -4XgXb/Xa = -30/3

Xa = (4/10)Xb

So the demand equation for commodity A is Xa = (4/10)Xb.

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