he table shows the prices of posting large letters. Gerard wants to post two large letters: - a large letter weighing 230g to the nearest 10 grams - a large letter weighing 500g to the nearest 10 grams (a) What is the smallest possible price for posting both large letters? (b) What is the greatest possible price for posting both large letters?

Answer:

7

Step-by-step explanation:

The degree of a polynomial is the highest power of the variable in the polynomial. In the polynomial [tex]\bold{\frac{1}{4} y^7-5y^2+3y+8}[/tex], the highest power of y is 7. Therefore, the degree of the polynomial is 7.

Here is a breakdown of the degrees of each term in the polynomial:

[tex]\bold{\frac{1}{4} y^7: degree \:7 }\\\bold{-5y^2: degree \:2}\\\bold{3y: degree \:1}\\\bold{8: degree\: 0}}[/tex]

The degree of a polynomial is the highest degree of any term in the polynomial. In this case, the highest degree is 7, so the degree of the polynomial is 7.

The areas of the composite figures are listed below:

Case 13: A = 198 mm²

Case 14: A = 52.069 mm²

In this problem we find two composite figures, whose areas are determined with the help of the following area formulas:

Triangle

A = 0.5 · b · h

Rectangle

A = b · h

Semicircle

A = 0.5π · r²

Where:

Now the area for each case is introduced below:

Case 13

A = 0.5 · (12 mm) · (15 mm) + (12 mm) · (9 mm)

A = 198 mm²

Case 14

A = 0.5π · (4.5 mm)² + (4.5 mm)²

A = 52.069 mm²

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Answer:

A = 378 in²

Step-by-step explanation:

the area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the perpendicular height between the bases b₁ and b₂

here b₁ = 6 + 15 + 6 = 27 , b₂ = 15 ( equal to middle section of b₁ ), h = 18, so

A = [tex]\frac{1}{2}[/tex] × 18 × (27 + 15) = 9 × 42 = 378 in²

Answer:

Trapezoid

Step-by-step explanation:

A parallelogram is a four side rectangle slightly slanted

A quadrilateral is four side shape eg rectangle, square

A trapezium is

By using the coordinates of the labeled point, the point-slope equation of the line include the following: D. y + 5 = -3(x - 3)

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

0 5 2 -2

First of all, we would determine the slope of this line;

Slope (m) = (y₂ - y₁)/(x₂ - x₁)

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

Slope (m) = -9/3

Slope (m) = -3

At data point (3, -5) and a slope of -3, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - (-5) = 3(x - 3)  

y + 5 = -3(x - 3)

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer: the solutions to the equation 7x^2 = 15x + 9, rounded to the nearest tenth, are x ≈ 2.3 and x ≈ -0.8.

Step-by-step explanation: To solve the equation 7x^2 = 15x + 9, we can rearrange it into a quadratic equation by subtracting 15x and 9 from both sides:

7x^2 - 15x - 9 = 0

Now, we need to solve this quadratic equation. We can either factor it or use the quadratic formula. Let's use the quadratic formula, which states that for an equation in the form ax^2 + bx + c = 0, the solutions for x are given by:

x = (-b ± sqrt(b^2 - 4ac)) / (2a)

In this case, a = 7, b = -15, and c = -9. Substituting these values into the formula, we have:

x = (-(-15) ± sqrt((-15)^2 - 4 * 7 * (-9))) / (2 * 7)

x = (15 ± sqrt(225 + 252)) / 14

x = (15 ± sqrt(477)) / 14

To the nearest tenth, we can evaluate the two solutions:

x ≈ (15 + sqrt(477)) / 14 ≈ 2.27 (rounded to the nearest tenth)

x ≈ (15 - sqrt(477)) / 14 ≈ -0.77 (rounded to the nearest tenth)

Therefore, the solutions to the equation 7x^2 = 15x + 9, rounded to the nearest tenth, are x ≈ 2.3 and x ≈ -0.8.

The length of ZY, given that in ΔXYZ, ∠Y = 90°, ∠X = 34°, ∠ZWY = 60° and XW = 7.2 is 8.2

The following data were obtained from the question:

From the attached photo, we shall obtain WY. This is show below:

Tan θ = opposite / adjacent

Tan 60 = a / b

Cross multiply

b × Tan 60 = a

Divide both sides by Tan 60

b = a / Tan 60

b = 0.6a

Finally, we shall determine the length of ZY. Details below:

Tan θ = opposite / adjacent

Tan 34 = a / 7.2 + 0.6a

Cross multiply

Tan 34 (7.2 + 0.6a) = a

4.9 + 0.4a = a

Collect like terms

4.9 = a - 0.4a

4.9 = 0.6a

Divide both sides by 0.6

a = 4.9 / 0.6

a = 8.2

Thus, we can conclude that the length of ZY is 8.2

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The equation 7(y + 3) = 5y + 8 has exactly B, one solution, since y is a real number.

To solve the equation, start by distributing 7 to the terms inside the parentheses:

7y + 21 = 5y + 8

Next, simplify the equation by subtracting 5y from both sides:

7y - 5y + 21 = 5y - 5y + 8

2y + 21 = 8

Then, subtract 21 from both sides:

2y + 21 - 21 = 8 - 21

2y = -13

Finally, divide both sides by 2 to solve for y:

(2y)/2 = -13/2

y = -13/2

The solution to the equation is y = -13/2, which is a single solution. Therefore, the equation has exactly one solution. So the correct answer is (Choice B) Exactly one solution.

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Answer: D

Step-by-step explanation:

To find the equation that could be used to find the length of the missing side of the quadrilateral, let's analyze the answer choices:

A. x+12=37-11

B. x+11+12=37

C. x+21÷8=37

D. x+31=37

We know that the perimeter of a quadrilateral is the sum of all its sides. Therefore, we can set up an equation where x represents the length of the missing side:

A. This equation doesn't represent the perimeter. It subtracts 11 from 37 instead of adding the lengths of the sides.

B. This equation adds the lengths of the two given sides correctly, but it doesn't consider the length of the missing side.

C. This equation divides 21 by 8 and then adds x, which doesn't accurately represent the perimeter.

D. This equation correctly adds the length of the missing side x to the known length of 31, representing the perimeter.

Therefore, the equation that could be used to find the length of the missing side is D. x+31=37.

The value for the unknown side length, x in simplest radical form is [tex]\sqrt{65}[/tex].

Based on the figure that is been provided , it can be deduced that the length of the line separating the two triangles is 4 which an be found using the Pythagoras theorem as

[tex]5^{2} = 3^{2} + y^{2} \\\\y^{2} = 25 -9\\\\y^{2} =16\\y=\sqrt{16} \\y=4[/tex]

Then the line dividing the triangle is been named y and it is 4., then we calculate the value of x as;

[tex]x^{2} = 7^{2} + 4^{2} \\x^{2} = 49 + 16\\ x^{2} = 65\\x=\sqrt{65}[/tex]

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Answer:

12

Step-by-step explanation:

The given sequence is an arithmetic sequence where the difference between one number and the previous number is -6

For example, 30 - 36 = -6

24-30 = -6

18 - 24 = -6

This constant difference is known as the common difference

The next number in the sequence will be 6 less than 18 = 18-6 = 12

hrs of work to get to work on time for the line up to me to be a little more comfortable for me

The angle of elevation of the top of the tower from the point on the ground is approximately 30.96 degrees.

To find the angle of elevation of the top of the tower, we can use trigonometry.

Let's denote the angle of elevation as θ.

In a right triangle, the tangent of an angle is equal to the ratio of the length of the side opposite the angle to the length of the side adjacent to the angle.

In this case, the side opposite the angle is the height of the tower (10√3 m), and the side adjacent to the angle is the distance from the point on the ground to the foot of the tower (30 m).

Using the tangent function, we can write:

tan(θ) = opposite/adjacent

= (10√3 m) / (30 m)

= (√3/3)

To find the angle θ, we can take the inverse tangent (arctan) of (√3/3):

θ = arctan(√3/3)

Calculating this angle using a calculator, we get:

θ ≈ 30.96 degrees

Therefore, the angle of elevation of the top of the tower from the point on the ground is approximately 30.96 degrees.

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Answer:

484

Step-by-step explanation:

22^2 = 484

The curved surface area of the cylinder is 48.06 cm².

The circumference of a cylinder is given by the formula:

C = 2πr

where C is the circumference and r is the radius of the base.

In this case, the given circumference is 6 cm.

So, 6 = 2πr

r = 6 / (2π)

r ≈ 0.955 cm

Now, the curved surface area (CSA) of the cylinder using the formula:

CSA = 2πrh

Given the height as 8 cm, we can substitute the values into the formula:

CSA = 2π(0.955 cm)(8 cm)

CSA ≈ 48.06 cm²

Therefore, the curved surface area of the cylinder is 48.06 cm².

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Answer: The height of a bat depends on how tall you are. All are different. Baseball bats a limited to 107cm. It is typically between 70-100cm.

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

Answer:

5 cm

Step-by-step explanation:

because the equal chords are equdistant

Step-by-step explanation:

Improper fractions have a numerator that is larger than the denominator

1 = 6/6

 so  1  1/6  = 7/6

The required related probability statement is P(-1.65 < z < 1.65) = 0.901 or 90.1%.

Find the area under the standard normal curve that lies between z = -1.65 and z = 1.65.

Remember, these steps can be applied to other problems involving the standard normal curve to find probabilities or areas associated with specific ranges of values.'

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Note that the function that  is continuous across its domain is C. f(x) = {x + 4, -4 ≤ x < -2; 0.5x², -2 ≤ x < 4; 20 - 3x, 4 ≤ x ≤ 8}

To determine which function is continuous across its domain, we need to ensure that there are no abrupt jumps, breaks, or undefined points within the given intervals.

In option C, the function is defined and continuous within each interval [-4, -2), (-2, 4), and [4, 8]. It consists of three separate pieces that are individually continuous, and there are no breaks or undefined points within each interval.

In options A and B, there are abrupt changes or discontinuities at x = 4 where the function switches to a different expression. This makes the function discontinuous at x = 4.

Therefore, option C is the correct answer as it represents a function that is continuous across its domain.

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Answer: the answer i got was b

Step-by-step explanation:

Answer:

2048 in³

Step-by-step explanation:

Volume of sphere = (4/3) X π X r ³

= (4/3) (3) (8)³

= 2048 in³

Answer:

maybe do a ratio of tomatoes grown to tomatoes that died/ withered in growth?

ex: ratio is for every 15 grown tomatoes, 2 die. so ratio is 15:2

hope this helps!!

By adding the cost of 2 child passes to each expression, Leah includes the cost of 2 more children going on the trip.

We have,

To include the cost of 2 more child passes in the expressions 3(a + c) and 3a + 3c,

We can simply add the cost of 2 child passes to each expression.

Let's assume the cost of each child pass is represented by the variable "p".

To modify 3(a + c), we add the cost of 2 child passes to the expression:

3(a + c) + 2p

This represents the total cost of 3 passes for children, including the original "a" and "c" passes, as well as the additional 2 passes.

To modify 3a + 3c, we also add the cost of 2 child passes:

3a + 3c + 2p

This represents the total cost of 3 passes for children, including the original "a" and "c" passes, as well as the additional 2 passes.

Thus,

By adding the cost of 2 child passes to each expression, Leah includes the cost of 2 more children going on the trip.

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Answer:

1) Side c = 64

2) sin A = 7/25

cos A = 24/25

tan A = 7/24

3) x = 11, y = 11[tex]\sqrt{2}[/tex]

4) D

5) Right

Step-by-step explanation:

1) sin29=31/c

0.48481=31/c

c=63.92

c=64

5) 25^2=24^2+7^2

625=576+49

625=625

So, the triangle is a right triangle.

Answer:

x = (v - u) / a

Step-by-step explanation:

v = u + ax.

subtract u from both sides:

v - u = ax.

divide both sides by a:

(v - u) / a = x.

so x = (v - u) / a.

this can also be written v/a - u/a

Answer:

$205

Step-by-step explanation:

25 X 43 = 1075 (initial cost).

22 X 53 = 1166 (initial profit)

sends back 3 back at $5 each = $15.

initial cost (refunded) for 3 calculators = 3(43) = 129

1166 - 1075 - 15 + 3(43)

= 1166 + 129 - 1075 - 15

= $205