Please helppppppppppppp

Answer:

Perpendicular

neither

\(y=\frac{4}{5}x-2\)

Step-by-step explanation:

Answer:

Distance = 73 m

Step-by-step explanation:

Given that,

The length of a rectangle = 48 m

The width of a rectangle = 55 m

We need to find the diagonal distance. We can use the Pythagoras theorem to find it.

\(d^2=48^2+55^2\\\\d=\sqrt{5329}\\\\d=73\ m\)

So, the required distance is equal to 73 m.

Answer:

7 pizzas

Step-by-step explanation:

18 people × 3 slices each = 54 slices

54 ÷ 8 = 6.75

7 pizzas

Answer:

They should order 7 pizzas.

Step-by-step explanation:

18 people x 3 slices per person = 54 slices you will need for everyone

54 slices divided by 8 = 6.75 pizzas.

Round 6.75 to 7 pizzas.

They should order 7 pizzas because you cannot ask the pizza place for 6.75 pizzas.

Answer:

a=-2

Step-by-step explanation:

The solution will be as follows;

And finally, the value of a is -2.

Answer:

B.

Step-by-step explanation:

V = (pi)r^2h

V = 3.14 * (8 m)^2 * 28 m

V = 5626.9 m^3

Answer: B.

To find the dimensions of a cylindrical can with a volume of 100 in^3 that minimizes the surface area, we can use the formula for the surface area of a cylinder: S = 2πr^2 + 2πrh.

First, we need to find the radius of the cylinder. We know that the volume of the cylinder is 100 in^3, so we can use the formula for the volume of a cylinder: V = πr^2h. Substituting in V = 100, we get:

100 = πr^2h

We want to minimize the surface area, which is given by the formula S = 2πr^2 + 2πrh. We can use the equation for the volume of the cylinder to solve for h in terms of r:

h = 100/(πr^2)

Substituting this into the formula for the surface area, we get:

S = 2πr^2 + 2πr(100/(πr^2))

Simplifying, we get:

S = 2πr^2 + 200/r

To minimize the surface area, we need to find the value of r that makes the derivative of S with respect to r equal to zero. Taking the derivative of S, we get:

dS/dr = 4πr - 200/r^2

Setting this equal to zero and solving for r, we get:

4πr = 200/r^2

r^3 = 50/π

r = (50/π)^(1/3)

Now that we have found the value of r that minimizes the surface area, we can use the equation for h that we found earlier to find the corresponding value of h:

h = 100/(πr^2)

Substituting in r = (50/π)^(1/3), we get:

h = 200/5^(1/3)π^(2/3)

Therefore, the dimensions of the cylindrical can that minimizes the surface area are:

Radius, r = (50/π)^(1/3)

Height, h = 200/5^(1/3)π^(2/3)

And the minimum surface area is:

S = 2πr^2 + 2πrh = 2π(50/π)^(2/3) + 2π(50/π)^(1/3) (200/5^(1/3)π^(2/3)) = 2π(50/π)^(2/3) + 400/5^(1/3)π^(1/3)
To find the dimensions of a cylindrical can with a volume of 100 in³ that minimizes the surface area, we need to use the given formulas for volume (V = πrh) and surface area (S = 2πr² + 2πrh).

First, let's find the radius (r) using the provided equation:
r = (50/π)^(1/3)

Now, we need to find the height (h). We can do this by substituting the volume formula into the surface area formula:

100 = πr * h
=> h = 100 / (πr)

Next, substitute the value of h into the surface area formula:

S = 2πr² + 2πr(100 / (πr))
S = 2πr² + 200/r

Now, to minimize the surface area, we need to find the derivative of S with respect to r (dS/dr) and set it equal to zero:

dS/dr = 4πr - 200/r² = 0
=> 4πr = 200/r²
=> r³ = 50/π

Since we have already found r using the given formula, we know that r = (50/π)^(1/3). Now we can find h using the height formula:

h = 100 / (π * (50/π)^(1/3))

With these values, we have found the dimensions of a cylindrical can with a volume of 100 in³ that minimizes the surface area:

Radius, r = (50/π)^(1/3)
Height, h = 100 / (π * (50/π)^(1/3))

To find the minimum surface area S, substitute r and h into the surface area formula:

S = 2π((50/π)^(1/3))² + 2π((50/π)^(1/3))(100 / (π * (50/π)^(1/3)))

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Total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.

The area of Rectangle is length times of width.

 
Let us find the area of the red colour right triangle.

Area of red triangle=1/2×13.5×9

=60.75 square cm.

Area of blue triangle=1/2×8×9

=36 square cm.

Area of rectangle=Length×breadth

=(13.5+8)4

=21.5×4

=86 square cm.

The total area of Ruby’s model for a Fourth of July party hat is

60.75+36+86

182.75 square centimeter.

Hence, total area of Ruby’s model for a Fourth of July party hat is 182.75 square centimeter.

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Answer:

Yes

Step-by-step explanation:

Anything muliplied by zero end up equalling zero. So with this in mind we can put 0 in for x and find out what each eqautian equals.

2(0) + 6(0) = 0; Once we multiply both sides we end up adding 0 and 0, so it equals 0

9(0) = 0

Since, 0 = 0 they are both equal.

Hope this helps!

Answer:

x=5/2

Step-by-step explanation:

4x-7=8-2x

add 7 to both sides

4x=15-2x

add 2x to both sides

6x=15

6/6x=15/6

x=5/2

(for the last part, i just simplify the fraction. 3 goes into 15 and 6)

To construct a stem and leaf plot, you first need to separate each data point into a stem and a leaf. The stem represents the leading digit(s) of the data point, while the leaf represents the trailing digit(s).

Once you have organized the data in this way, you can create the plot. The stems are listed vertically, and the leaves are placed horizontally next to their corresponding stems. Make sure to arrange the leaves in ascending order.

Regarding how the stem and leaf plot suggests the sample mean and median will compare, we can look at the distribution of the data. If the leaves are evenly distributed across the stems, it suggests a symmetrical distribution. In this case, the sample mean and median will be similar.

However, if the leaves are concentrated in certain stems, it suggests an asymmetrical distribution. In this scenario, the sample mean and median may differ. The median tends to be less affected by extreme values, while the mean can be influenced by outliers.

Therefore, by examining the stem and leaf plot, you can get a sense of whether the sample mean and median will be similar or different based on the distribution of the data.

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The value for x is 7π/6 and 11π/6.

sin2xsecx+2cosx=0

(2sinxcosx)(1/cosx)+2cosx=0

sinxcosx/cosx+2cosx=0

So,

2sinx+2cosx=0

2(sinx+cosx)=0

(2(sinx+cosx))²=0

4(sin²x+cos²x+2sinxcosx)=0

hence,

(sin²x+cos²x+2sinxcosx)/4=0/4

sin2x+cos2x+2sinxcosx=0

1+sin2x=0

sinx=−1/2

=7π/6 and 11π/6

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Answer:

$72.15

Step-by-step explanation:

x= pounds of steak

$\(9.62x\) = money spent on steaks

If Neil buys 7.5 pounds of steak then x =7.5

$9.62(7.5) = $72.15

Answer:

$72.15

Step-by-step explanation:

1 pound = $9.62

7.5 pounds = $9.62 × 7.5

= $72.15

Anything above 2.

It isn't 2 because 3x2=6+1=7, and we need a number greater than 7.

---

hope it helps

Answer:

m = 3+

Step-by-step explanation:

3m + 1 > 7 becomes

3(3) + 1 > 7 which becomes

9 + 1 > 7 which becomes

10 > 7.

The inequality is true.

Hope this helps. Have a nice day.

The given surface is given by `z = x² + 2y²`.

We are to find an equation of the tangent plane to the surface `z = x² + 2y²` at the point `(1, 1, 3)`.

Recall that the equation of the tangent plane to a surface `z = f(x, y)` at the point `(x₀, y₀, z₀)` is given by:

z = f(x₀, y₀) + f₁(x₀, y₀)(x - x₀) + f₂(x₀, y₀)(y - y₀)`where `f₁(x, y) = ∂f/∂x`

evaluated at `(x₀, y₀)` and `f₂(x, y) = ∂f/∂y`

evaluated at `(x₀, y₀)`.

Therefore, for the given surface, we have:

f(x, y) = x² + 2y²` `=>` `f₁(x, y) = 2x` and `f₂(x, y) = 4y`.

Hence, the equation of the tangent plane to the surface `z = x² + 2y²` at the point `(1, 1, 3)` is given by:

z = f(1, 1) + f₁(1, 1)(x - 1) + f₂(1, 1)(y - 1)` `=>` `z = 3 + 2(x - 1) + 4(y - 1)` `=>` `z = 2x + 4y - 3`.

Therefore, the equation of the tangent plane to the surface `z = x² + 2y²` at the point `(1, 1, 3)` is `z = 2x + 4y - 3`.More about the surface:

The given surface `z = x² + 2y²` is a paraboloid that opens upwards and is centered at the origin.

More about the tangent plane: The tangent plane is a plane that touches the surface at a single point and is parallel to the surface at that point.

The equation of the tangent plane gives a good approximation to the surface near the point of tangency.

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Addition of 10 + 1/4 + 5 1/2

= 10 + 1/4 + 11/2 ....................(5 1/2 can be written as 11/2)

On taking the LCM of the denominators, we can write:

[(10 x 4) + 1 + (11 x 2)]/4

= (40 + 1 +22) /4 = 63/4

So, in fraction the solution is 63/4

In mixed number the solution can be written as: 15 3/4

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The amount of Rs8550 will be equal to 60 pounds.

The rate at which one currency will be exchanged for another is known as the exchange rate in the world of finance. The most frequent types of currencies are national currencies.

Given that $5 = 4 pounds and Rs 342 = $3, the amount RS 8550 will be calculated as below:-

$5 = 4 pounds

$1 = 4 / 5 pounds  .............................( 1 )

Rs 342 = $3

$1 =  342 / 3 RS  ..............................( 2 )

From the two equations:-

342 / 3 RS = 4 / 5 pounds

1 RS = ( 3 / 342 ) x  ( 4 / 5 )

8550 RS = ( 8550 x 3 x 4 ) / ( 342 x 5 )

8550 RS = 60 pounds

Therefore, the amount of Rs8550 will be equal to 60 pounds.

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Belgium and Great Britain both experienced industrialization, which led to significant economic and social changes. However, a notable difference between the two is the timing and pace of their industrialization processes.

Both Belgium and Great Britain underwent industrialization during the 19th century, transitioning from predominantly agrarian societies to industrial economies. This transformation involved the mechanization of production, the growth of factories, and the emergence of new industries. Both countries experienced a shift from rural to urban areas, an increase in population, and the rise of a working class. One significant difference between Belgium and Great Britain's industrialization was the timing and pace of their processes. Great Britain is widely regarded as the birthplace of the Industrial Revolution, with industrialization taking off in the late 18th century. The country quickly became a global leader in industrial production and innovation. On the other hand, Belgium's industrialization occurred slightly later, gaining momentum in the mid-19th century. Despite the time lag, Belgium experienced a rapid industrialization process, fueled by factors such as its geographical location, availability of natural resources, and strong transportation network. While both countries saw the development of similar industries like textiles, iron, and coal mining, Great Britain's industrialization had a more profound and widespread impact on a global scale due to its early start and technological advancements. However, Belgium's industrialization played a crucial role in transforming the country into an industrial powerhouse within Europe. In summary, Belgium and Great Britain shared similarities in terms of experiencing industrialization and its associated changes. However, the notable difference lies in the timing and pace of their industrialization processes, with Great Britain leading the way in the Industrial Revolution and Belgium following suit with a slightly delayed but rapid industrialization period.

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The measure of the two angles will be x > 25° and y = 180° - x°.

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.

The two lines are parallel and the third line is a transversal line.

If one angle is greater than 25°. Then the other angle is given as,

Let the angles be 'x' and 'y'. Then angles are supplementary angles. Then the inequality is given as,

x > 25°               ...1

x + y = 180°

y = 180° - x       ...2

From equations 1 and 2, then we have

y = 180° - x

The measure of the two angles will be x > 25° and y = 180° - x°.

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Answer:

what grade is this?

Step-by-step explanation:

\(\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}\)

By simplifying answer is \(\frac{-3}{13}\) in decimals -0.230769

Here, we have done addition, subtraction, multiplication and division.

\(\frac{6}{7} \times(\frac{-3}{13} )+\frac{3}{13}-\frac{( \frac{3}{13} \times8)}{7}\\\)

First, We will do Multiplication

Adding a number to itself as many times as the value of the other number is equivalent to multiplying two numbers by their sum.

\(\frac{-18}{91} +\frac{3}{13}-\frac{\frac{24}{13} }{7}\)

Now, We will do the division

Basically, dividing is the act of dividing anything into equal sections or groups.

\(\frac{-18}{91} +\frac{3}{13}-\frac{24 }{91}\)

Now, We will do the subtraction and Addition

When objects are collected together, addition, a mathematical operation, describes how many total items there are in the collection.

The reverse of adding in mathematics is called subtraction. When a specific number of objects from a group are removed, subtraction is used to determine how many objects are still present in the group.

\(\frac{3}{13}-\frac{6 }{13}\\\frac{-3}{13} \\\)

Therefore, the simplified answer is  \(\frac{-3}{13}\) in decimals -0.230769.

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Answer:

-2 is the answer

Step-by-step explanation:

Answer:

60% or 3/5

Step-by-step explanation:

Add up how many students take the bus: 50, and how many walk:10

Put that number over 100 and simplify: 60/100=6/10=3/5

The population of birds to increase by 50% in 31.25 years.

The differential equation for the population of birds is:

dp/dt = 0.016P

where P is the population of birds and t is time in years.

To obtain the time it takes for the population to increase by 50%, we need to solve for t when P increases by 50%.

Let P0 be the initial population of birds, and P1 be the population after the increase of 50%.

Then we have:

P1 = 1.5P0 (since P increases by 50%)

We can solve for t by integrating the differential equation:

dp/P = 0.016 dt

Integrating both sides, we get:

ln(P) = 0.016t + C

where C is the constant of integration.

To obtain the value of C, we can use the initial condition that the population at t=0 is P0:

ln(P0) = C

Substituting this into the previous equation, we get:

ln(P) = 0.016t + ln(P0)

Taking the exponential of both sides, we get

:P = P0 * e^(0.016t)

Now we can substitute P1 = 1.5P0 and solve for t:

1.5P0 = P0 * e^(0.016t

Dividing both sides by P0, we get:

1.5 = e^(0.016t)

Taking the natural logarithm of both sides, we get:

ln(1.5) = 0.016t

Solving for t, we get:

t = ln(1.5)/0.016

Using a calculator, we get:

t ≈ 31.25 years

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Answer:

Triangle 3: 3, 4 ,5

Step-by-step explanation:

Well, you can easily tell by 3, 4, 5 being a Pythagorean triple.

But you have to use the Pythagorean Theorem to solve this.

So you get the side lengths of the two shortest sides, and you add the squared versions of them together.

So: 3^2+4^2 and if that equals the biggest side:5^2 then it's a right triangle.

Answer:

The answer is c. 81.76%

Answer:

Geometric mean of a and b: Square root of axb.

16x64 = 1024

Square root of 1024: 32.

So, the geometric mean is 32.

Hope this helps!

In the hypothesis, based on the 90% confidence interval, (0.02, 0.12), there is convincing evidence that the new formula of laundry detergent is better because the interval is entirely above 0

Let's define the null hypothesis and alternative hypothesis first.

H0:p1-p2=0

Ha:p1-p2>0

Also, 90% CI is (0.02,0.12), we know that if the 0 of the null hypothesis is not in the confidence interval then we reject the null hypothesis.

In the given scenario 0 is not within the given interval, hence we reject the null hypothesis and accept the claim that new detergent A cleans better.

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♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(5x + 4x + 5x + 4x = 360\)

\(18x = 360\)

Divide sides by 18

\( \frac{18x}{18} = \frac{360}{18} \\ \)

\(x = 20\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

\(4(x) = 4(20) = 80°\)

_________________________________

\(5x = 5(20) = 100°\)

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

Answer:

theres nothing? :/

Step-by-step explanation:

Let the distance between the foot of the ladder and the wall be x, and the height of the ladder on the wall be y. Then we have a right-angled triangle with hypotenuse 13.

Applying the Pythagorean theorem, we get:

x^2 + y^2 = 13^2

Differentiating both sides of the equation with respect to time, we get:

2x(dx/dt) + 2y(dy/dt) = 0

We want to find the rate of change of the area of the triangle, which is given by:

A = (1/2)xy

Differentiating both sides with respect to time, we get:

(dA/dt) = (1/2)(x(dy/dt) + y(dx/dt))

Substituting for dx/dt and simplifying, we get:

(dA/dt) = -3y

When x = 5 and y = 12 (since the ladder is 13 feet long and the foot is 5 feet away from the wall, the height on the wall is 12 feet), we get:

(dA/dt) = -36 square feet per second

Therefore, the area of the triangle is decreasing at a rate of 36 square feet per second at the instant the bottom of the ladder is 5 feet from the wall.

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