What’s 5x5 equal too?

3 pounds 32 ounces < 14 pounds 40 ounces

1,000 pounds = 1 ton

1 pound and 5 ounces < 1.5 pounds

2 tons = 4,000 pounds

28 ounces > 25 ounces

The comparison of the values of the given weights is as follows:

3 pounds 32 ounces < 14 pounds 40 ounces

This is because there are fewer pounds and ounces in 3 pounds 32 ounces compared to 14 pounds 40 ounces.

1,000 pounds = 1 ton

This is because 1,000 pounds is equal to 1 ton.

1 pound and 5 ounces < 1.5 pounds

This is because 1 pound and 5 ounces is less than 1.5 pounds.

2 tons = 4,000 pounds

This is because 2 tons is equal to 4,000 pounds.

28 ounces > 25 ounces

This is because 28 ounces is greater than 25 ounces.

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Complete question:

Write the comparison using <, >, or =.

3 pounds 32 ounces vs  14 pounds 40 ounces

1,000 pounds vs 1 ton

1 pound and 5 ounces vs 1.5 pounds

2 tons vs 4,000 pounds

28 ounces vs 25 ounces

Answer:

10000000000000

Step-by-step explanation:

I do not know how to explain

Answer:

B. Phoebe

Step-by-step explanation:

Let's find the slope of the line that passes through (12, 5) and (12, 9).

Slope = \( \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 5}{12 - 12} = \frac{4}{0} \) = undefined.

14 can't be divided by zero. Therefore, it is concluded that the slope of the line is undefined.

Therefore, Phoebe is correct.

Answer:

The area of the trapezoidal field is 7,725 square feet

Step-by-step explanation:

A trapezoid is a quadrilateral with one pair of parallel sides, which are called the bases. The area of a trapezoid can be calculated using the formula A = h(1/2)(b₁ + b₂), where A is the area of the trapezoid, h is the height of the trapezoid, and b₁ and b₂ are the lengths of the two bases.

In this case, we are given that the height of the trapezoid is 75 ft, and the lengths of the two bases are 125 ft and 81 ft. To find the area of the trapezoid, we simply need to plug these values into the formula and simplify:

A = h(1/2)(b₁ + b₂)

A = 75(1/2)(125 + 81)

A = 75(103)

A = 7,725 square feet

Therefore, the area of the trapezoidal field is 7,725 square feet, and this represents the amount of grass that would cover the entire field if it were a perfect rectangle.

Answer:

Gradient = 2

Step-by-step explanation:

Gradient of a line = Slope of the line

Since, slope of a line passing through two points \((x_1, y_1)\) and \((x_2,y_2)\) is given by,

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

Given line in the graph passes through two points (1, 0) and (2, 2)

Therefore, slope or gradient of the line = \(\frac{2-0}{2-1}\)

                                                                  = 2

Gradient = 2 will be the answer.

The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs.

We have,

The Pythagorean theorem that relates to the sides of a triangle. It states that the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides (known as the legs). Mathematically, it can be expressed as a² + b² = c², where "a" and "b" are the lengths of the legs, and "c" is the length of the hypotenuse.

Now,

In a right triangle, the legs are the two sides that form the right angle, and the hypotenuse is the side that is opposite to the right angle. The Pythagorean theorem states that in a right triangle, the square of the hypotenuse = sum of the squares of the legs. So, the relationship between the legs and the hypotenuse can be described by this theorem. In other words, if we know the length of the two legs of a right triangle, we can use the Pythagorean theorem to find the length of the hypotenuse, and vice versa. The hypotenuse is always the longest side of the right triangle, and it is also the side that connects the two legs.

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complete question:

Applying the Pythagorean Theorem In this activity, you will explain your understanding of mathematical relationships and use the Pythagorean theorem to solve real-world problems. Question 1 In your own words, explain the relationship between the legs and the hypotenuse of a right triangle.

Answer:

The equivalent expression is 6x+8.

Step-by-step explanation:

Given expression is:

1.5(3x + 4) + 0.25(6x + 8)

We will solve the expression and combine alike terms.

4.5x + 6 + 1.5x + 2

6x + 8

Therefore,

The equivalent expression is 6x+8.

The equivalent expression is 6x+8 is the correct answer

What is an equivalent expression for 1.5(3x + 4) + 0.25(6x + 8)?

Answer:

The height of the building is 2√165 (m)

Step-by-step explanation:

You can imagine that the distance from the top of the building to the tip of the shadow is like hypotenuse, the length of a shadow of a building is like squared angle edge

Assume the height of the building is x

According to  Pythagorean theorem:

28^2 + x^2 = 38^2

x^2 = 38^2 - 28^2

x = √(38^2 - 28^2)

x= 2√165 (m)

Answer:

  2.5%

Step-by-step explanation:

You want the percentage below 335 if the distribution is normal with a mean of 555 and a standard deviation of 110, using the empirical rule.

The z-score of 335 is ...

  Z = (X -µ)/σ

  Z = (335 -555)/110 = -220/110 = -2

The empirical rule tells you that 95% of the distribution is between Z = -2 and Z = 2. That is, 5% of the distribution is evenly split between the tails Z < -2 and Z > 2. Half that value is in each tail.

  P(X < 335) = 5%/2 = 2.5%

The percentage of people taking the test who score below 335 is 2.5%.

<95141404393>

Answer: GL = \(\sqrt{61}\)

Step-by-step explanation:

     Since this is a right triangle, we can use the Pythagorean theorem. GL is the hypotenuse.

Given:

     a² + b² = c²

Substitue:

     AL² + AG = GL²

Find side lengths (count via the coordinate plane given):

     6² + 5² = GL²

Square:

     36 + 25 = GL²

Add:

     61 = GL²

Square root both sides:

     \(\sqrt{61}\) = GL

Answer:

R = 11

C ≈ 69.12

A ≈ 380.13

Step-by-step explanation:

R = d ÷ 2

C = 2πr

A = 2πr²

Answer:

Mean= 10.83

Median= 9.5

Step-by-step explanation:

Given number,

10, 15, 8, 11, 9, 12

N= 6

As we know,

Mean= Ex/N

=10+15+8+11+9+12/6

=65/6

=10.83

Therefore, Mean= 10.83

Now,

Median(MD)= (N+1/2)th item

= 6+1/2

=7/2

=3.5th item

So, Median(MD)= 3th+4th/2 item

= 8+11/2

= 19/2

= 9.5

Therefore, Median= 9.5

Answer:

0

Step-by-step explanation:

Let's start by subtracting.

-c + 2-2 + c

We end up with..

-c + c

Now, let's combine like terms.

-c + c = -1c + 1c =

0

Hope this helped! :)

Step-by-step explanation:

it seems there is some trick question involved.

we find such answers by putting a horizontal line through the y points and see, where the horizontal line is intersecting the function graph and go straight down to the x-axis to see the value of x for that y value.

the horizontal line through y = -1.5 does not intersect at all.

so, in one hand the answer is "no solution".

but on the other hand, we could assume that the function graph continues further to the right (and down).

and then the intersection point would be

(7.5, -1.5),

and the corresponding x = 7.5.

for y = 0 the horizontal line is the x-axis itself. so, for what values of x does the x-axis intersect the function curve ?

at x = -3, and at x = 6.

for y = 2 the corresponding horizontal line is intersecting the function curve at

x = -2.125 (it looks like it is at the half of the half of the half unit as the grid unit left of -2, so it is -2 - 1/2³ = -2 1/8 = -2.125)

x = 0.5

x = 4 (it just touches the tip of the curve there)

for y = 2.5 there is truly no solution. that horizontal line does not intersect the function curve at any point.

Answer:

3K

Step-by-step explanation:

Answer:

n=9

Step-by-step explanation:

The value of f(3) is 0.688.

To find the value of f(3), we need to determine the pattern of decrease and apply it to the given information.

Given that f(0) = 86, we know the starting value of the function. We are also told that for each increase in x by 1, the value of f(x) decreases by 80%. This means that for every unit increase in x, the value of f(x) becomes 80% of its previous value.

Let's calculate the values step by step:

f(0) = 86 (given)

f(1) = 86 - 0.8 * 86 = 17.2

f(2) = 17.2 - 0.8 * 17.2 = 3.44

Now, let's find f(3) by applying the same decrease:

f(3) = 3.44 - 0.8 * 3.44 = 0.688

In summary, starting with f(0) = 86, we applied an 80% decrease for each unit increase in x to calculate the values of f(1) = 17.2, f(2) = 3.44, and f(3) = 0.688. The pattern suggests that the function approaches zero rapidly as x increases.

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Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is c) 1/4÷(−3)=−1/12  because the dividend is 1/4 and the quotient is -1/12 which is obviously less than 1/4.

Answer:

(4,-1)

Step-by-step explanation:

You go right 4 to get to 3, and -1 to get to 2.

Hope this helps!

Answer:

the other side

Step-by-step explanation:

Answer:

75 miles

Step-by-step explanation:

2 * 3= 6

25 * 3= 75

Answer:

I think the answers C

Step-by-step explanation:

because when you 34,000 by 6 you get 204,000 minus that from 250,000 and you have 46,000

Answer:

For 9 families

Step-by-step explanation:

Answer:

what is your problem?    

Step-by-step explanation:

A bottle of 150 vitamins costs $5.25.

The cost varies directly with the number of vitamins in the bottle.

What should a bottle with 250 vitamins cost?

Let C denotes cost and V denotes the number of vitamins.

The direct variation equation is

Let us first find the value of k (constant of proportionality)

Now the cost of 250 vitamins may be found as

Therefore, the cost of 250 vitamins is $8.75.

Answer:

To calculate the future value of an investment compounded annually, we can use the formula:

Future Value = Principal Amount * (1 + Interest Rate)^(Number of Periods)

In this case, the principal amount is $3200, the interest rate is 2.4% (or 0.024), and the investment is compounded annually for 4 years.

Plugging these values into the formula, we get:

Future Value = $3200 * (1 + 0.024)^4

Calculating the exponent first:

(1 + 0.024)^4 = 1.024^4 = 1.09985925696

Multiplying the principal amount by the exponent:

Future Value = $3200 * 1.09985925696

Future Value ≈ $3,519.47

Therefore, the investment will be worth approximately $3,519.47 after 4 years when compounded annually at a rate of 2.4%.

Step-by-step explanation:

The graph of the feasible region is attached

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

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ \theta =\frac{\pi }{2}\\[1em] r=\frac{8}{3} \end{cases}\implies A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot\left( \cfrac{8}{3} \right)^2 \\\\\\ A=\cfrac{1}{2}\cdot \cfrac{\pi }{2}\cdot \cfrac{64}{9}\implies A=\cfrac{16\pi }{9}\implies A\approx 5.59\)