If the diagonal of a rhombus is ( x- 4d) and ( x+ 4d) then find the area of rhombus

The number of packs that should be bought should be considered as the 5.

Since

28 batteries for smoke alarm. Store sells them in 6 packs

So here we simply divide it

\(= 28 \div 6\)

= 5

hence, The number of packs that should be bought should be considered as the 5.

Learn more about number here: https://brainly.com/question/18555023

Answer:

\(A=2513.27\ cm^2\)

Step-by-step explanation:

The radius of semicircle window, r = 40 cm

The area of semicircle is given by :

\(A=\dfrac{\pi r^2}{2}\)

Substitute all the values in the above formula.

\(A=\dfrac{\pi \times 40^2}{2}\\\\A=2513.27\ cm^2\)

So, the area of the window is equal to \(2513.27\ cm^2\).

Answer:

19

Step-by-step explanation:

1 centimeter is 10 millimeters

190 / 10 = 19

Answer:

1/7

Step-by-step explanation:

negative reciprocal

Hey there!

The answer you're looking for is C.

Answer:

c

Step-by-step explanation:

2/5th of a number is 40% of that number.

In order to calculate the percentage of a given number that is equal to 2/5 of that number, we must first convert the fraction to percentage form, which is as follows:

= 2/3 * 100

= 0.4 * 100

= 40%

We will use the following example to validate the aforementioned process:

Assume that it is 50.

First, 2/5 of 50 equals 2/5 * 50, or 20.

Second, 40% of 50 equals 40/100 * 50 = 0.4 * 50 = 20.

The equality of the two results is evident.

2/5 of a number is therefore 40% of that number.

Know more about  start fraction

https://brainly.com/question/78672

#SPJ4

The question is incomplete;

\dfrac25 start fraction, 2, divided by, 5, end fraction of a number is what percentage of that number?

Given:

The given vector is w.

Required:

We need to draw 3w.

Explanation:

Use the Pythagorean theorem to find the magnitude AB.

Let the origin be (0,0).

Point A is (0,4) and point B is (3,0).

The magnitude of AB is (3-0,0-4)

Multiply the equation by 3 to find 3w.

Consider any point on the graph and take it as the origin (0,0) and mark (9,-12) and joint them as follows.

Final answer:

SSE (Sum of Squares Error): Measures unexplained variation within groups in ANOVA, representing the discrepancy between observed values and their group means. SSB (Sum of Squares Between): Represents the explained variation between groups in ANOVA (Analysis of Variance), capturing the difference between group means and the overall mean of the data. SST (Total Sum of Squares): Accounts for the overall variation in the data, combining both the within-group (SSE) and between-group (SSB) variability.

In ANOVA (Analysis of Variance), the Sum of Squares Error (SSE) represents the variation or variability within each group or treatment. It measures the discrepancy or difference between the observed values within each group and their respective group means. SSE represents the unexplained or residual variation in the data that cannot be attributed to the factors or treatments being studied.

On the other hand, the overall variation, often represented as SST (Total Sum of Squares) or SSB (Sum of Squares Between), measures the total variability in the data, including both the variability within groups (SSE) and the variability between groups (SSB). It quantifies the total variation observed in the experimental data, regardless of the specific factors or treatments being studied.

The difference between SSE (Sum of Squares Error) and SST (Total Sum of Squares) is the Sum of Squares Between (SSB). SSB represents the variation that can be attributed to the factors or treatments being studied. It measures the difference or discrepancy between the group means and the overall mean of the data. SSB captures the variation between groups or treatments, indicating how much of the overall variability in the data can be explained by the factors or treatments.

In summary, SSE represents the unexplained or residual variation within groups, while SSB represents the explained variation between groups. SST (Total Sum of Squares) is the sum of SSE and SSB, accounting for the overall variation in the data.

To learn more about Variance refer here:

https://brainly.com/question/31432390#

#SPJ11

Answer:

10 or 40

Step-by-step explanation:

We have the following equation

-4d²+200d-100= 1500

We want all the non zero on one side and so we subtract 1500

-4d²+200d-1600=0

Solve for d

4( -d²+50d-400)=0

factor (I can explain this part in depth if needed)

4(d-40)(d-10)=0

d=40

d=10

This means that the price either needs to be 40 or 10 dollars

The prices at which the theater would earn $1,500 in profit from the comedy show each weekend are $10 and $40 both.

You can simply replace those variables with the value you know of them and then operate on those values to get a final value. This is the result of that expression at those values of the considered variables.

For this case, the profit function is specified as:

\(\small p\left(d\right)=-4d^2+200d-100\)

where d denotes the price of each ticket of the theater.

We need such value of d, for which the profit evaluates to $1500

Since output of the expression is denoted by p(d), putting p(d) = 1500 gives us:

\(1500=p(d)\\1500=-4d^2+200d-100\\4d^2 - 200d + 1600 = 0\\d^2 -50d + 400 = 0\\d^2 - 40d - 10d + 400 = 0\\d(d-40) -10(d-40) = 0\\(d-10)(d-40) = 0\\\\\)

This comes as 0 either because of (d-10) =0 or (d-40)=0 or both which means d =10 or d = 40 or both.

Checking both values of d and seeing if profit comes out at 1500, we get:

\(\small p\left(d\right)=-4d^2+200d-100\\p(10) = -4(10^2) + 200\times 10- 100\\p(10) = -400 + 2000 - 100 = 1500\) (in dollars)

\(\small p\left(d\right)=-4d^2+200d-100\\p(40) = -4(40)^2 + 200 \times 40 - 100\\p(40) = -6400 + 8000 - 100\\p(40) = 1500\)

Thus, both prices of the ticket (as of $10 for each ticket and of $40 for each ticket) makes the theater earn $1500 as profit. (well since profits are same, keeping price at $10 would be good for general conditions)

Learn more about solving quadratic equations here:

https://brainly.com/question/26675692

Answer:

(-4, 2) y(2, -8)

{-4 y(2, -8), 2 y(2, -8)}

-4 y(2, -8) + 2 y(2, -8) = -2 y(2, -8)

-y(2, -8)

2 sqrt(5) abs(y(2, -8))

Step-by-step explanation:

D

Answer:

C

Step-by-step explanation:

The center will be the midpoint of the line connecting A and B.

x=(-4+2)/2=-2/2=-1

y=(2-8)/2=-6/2=-3

Answer:

6

Step-by-step explanation:

6 divided by 4 = 1 + 2 leftover

6 divided by 5 = 1 + 1 leftover

The diver collected water samples at every 3 meters, starting from 5 meters below the water surface, up to a final depth of 35 meters.

We can find the number of samples collected by dividing the total depth range by the distance between each sample and then adding 1 to include the first sample.

The total depth range is:

35 m - 5 m = 30 m

The distance between each sample is 3 m, so the number of samples is:

(30 m) / (3 m/sample) + 1 = 10 + 1 = 11

Therefore, the diver collected a total of 11 water samples.

The cross section of a cylinder is a circle. This is because a cylinder is formed by two circular bases connected by a curved surface. When the cylinder is sliced perpendicularly to its bases, the cross section will be a circle.

To prove this mathematically, let us consider a cylinder with radius r and height h. The volume of the cylinder is V = πr²h. If the cylinder is sliced perpendicularly to its bases, its cross section can be considered as a circle with radius r. The area of the circle is A = πr². Since the volume of the cylinder is equal to the area of the cross section multiplied by the height, we can say that V = A * h. This implies that A = V/h. Since we already know that V = πr²h, we can substitute the value of V in the above equation to get A = πr²h/h. Cancelling both h from the equation, we get A = πr². This means that the area of the cross section of the cylinder is equal to the area of a circle with radius r. Therefore, the shape of the cross section of the cylinder is a circle. Hence, the shape of the cross section of a cylinder is a circle.

Learn more about cross section here:

https://brainly.com/question/15541891

#SPJ4

Answer:

1320

Step-by-step explanation:

11×8×15=1320

The conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1. The FAR Part 77 imaginary surface that has slopes that may range from 20:1 to 50:1 is the conical surface.

The conical surface is a three-dimensional surface defined by a combination of horizontal and inclined planes. It extends upward and outward from the end of the primary surface and has varying slope requirements. The slope of the conical surface represents the ratio of the change in elevation to the horizontal distance. A slope of 20:1 indicates that for every 20 units of horizontal distance, there is a 1-unit increase in elevation.

Similarly, a slope of 50:1 means that for every 50 units of horizontal distance, there is a 1-unit increase in elevation. Therefore, the conical surface is the correct answer as it allows for slopes ranging from 20:1 to 50:1.

To learn more about   conical surface click here: brainly.com/question/29129362

#SPJ11

For given average temperatures and °C=5/9°F-32 C represents temperature unit in celsius.

What is average?

In Maths, an average of a list of data is the expression of the central value of a set of data. Mathematically, it is defined as the ratio of summation of all the data to the number of units present in the list. In terms of statistics, the average of a given set of numerical data is also called mean. For example, the average of 2, 3 and 4 is (2+3+4)/3 = 9/3 =3. So here 3 is the central value of 2,3 and 4.  Thus, the meaning of average is to find the mean value of a group of numbers.

Average = Sum of Values/Number of Values

Also

Suppose, we have given with n number of values such as x1, x2, x3 ,….., xn. The average or the mean of the given data will be equal to:

Average = (x1+x2+x3+…+xn)/n

Now,

Given formula

°C=5/9°F-32, C represents  where °c is temperature unit in Celsius and

°F represents unit of temperature in Fahrenheit.

To know more about average visit the link

https://brainly.com/question/27193544?referrer=searchResults&source=aidnull

#SPJ1

Answer: thas really confusing

Step-by-step explanation:

The largest amount of soda such a cylindrical can can contain is V = πr²h.

The right circular cylinder has h = 2r.

The optimal shape for the can that maximizes its volume is a right circular cylinder. In a right circular cylinder, the base and the height are equal, and the top and bottom are circular.

To describe the optimal shape of the can, we need to consider its dimensions. Let's assume the radius of the base of the can is 'r', and the height of the can is 'h'.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Since we have a fixed amount of aluminum, we can express the constraint as the total surface area of the can, which consists of the curved surface area and the top and bottom circular bases.

The total surface area of a right circular cylinder is given by the formula:

A = 2πrh + πr²

To optimize the shape of the can, we need to maximize the volume (V) while satisfying the constraint on the surface area (A).

dA/dr = 4πr - 2V/(r2) = 0

⇒ 4πr3 - 2V = 0

⇒ r3 = V/(2π)

⇒ r = (V/(2π))1/3

The second derivative of A with respect to r, that is, d²A/dr²,

We can now pass this value of r into our function h, giving us

h = V/(π(V/(2π))2/3)

= 22/3 x (V/π)1/3

= 2 x (V/(2π))1/3

h = 2r,

Thus, the right circular cylinder has h = 2r.

Learn more about Optimization problem here:

https://brainly.com/question/17488294

#SPJ4

Answer:

(6,7)

Step-by-step explanation:

Let B(x,y).

By the midpoint formula,

So, the coordinates of B are (6,7).

Answer:

2 2/3

Step-by-step explanation:

1) 4 1/2 = 9/2 ⇒ 27/6

2) 1 5/6 = 11/6 ⇒ 11/6

Same denominator ↑

3) 27/6 - 11/6 = 16/6 ⇒ 2 4/6 ⇒ 2 2/3

The Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

Here, we have,

To find the Laplace transform of the function f(t) = 2t⁴ + 3t² + 5,

we can apply the linearity property of the Laplace transform.

The Laplace transform of a constant is given by:

L[a] = a/s,

where 'a' is a constant and 's' is the complex variable.

Applying this property to each term in the function, we have:

L[2t⁴] = 2/s⁵,

L[3t²] = 3/s³,

L[5] = 5/s⁰.

Since s⁰ = 1, the Laplace transform of the constant term 5 is simply 5.

Combining these results using the linearity property, we get:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

Therefore, the Laplace transform of the function f(t) =2t⁴ + 3t² + 5 is given by:

L[2t⁴ + 3t² + 5] = 2/s⁵ + 3/s³ + 5.

To know more about Laplace transform click on below link:

brainly.com/question/31481915

#SPJ4

Answer:

4

Step-by-step explanation:

since it's all addition, we can remove the parentheses

\(3x + x + 10 + 5x + 2x + 2 = 56\)

Now we combine like terms

\(3x+x+5x+2x+10+2=56\)

\(11x+12=56\)

We subtract both sides by 12 to get,

\(11x=44\)

now we divide both sides by 11

\(x=\frac{44}{11}\)

\(x=4\)

Using the formula for the distance between two points, it is found that the length of the line segment is of 10 units.

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

The distance between points \((x_1,y_1)\) and \((x_2,y_2)\) is given by:

\(D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

\(D = \sqrt{(5 - (-3))^2+(13 - 7)^2} = \sqrt{8^2 + 6^2} = \sqrt{100} = 10\)

The length of the line segment is of 10 units.

A similar problem is given at https://brainly.com/question/22047427

Step-by-step explanation:

here you go!

so basically x = 9 cars

Answer:

5 boys

Step-by-step explanation:

boys to girls in math class = 3/12

3/12 can be reduced to 1/4

In the science class, the ratio is the same but there is a total of 20 girls.

Multiply the fraction 1/4 by 2/2, 3/3, 4/4, 5/5, etc. until you get x/20. Then you have 20 girls. x is the number of boys.

1/4 = 2/8 = 3/12 = 4/16 = 5/20

In science the ratio of 1/4 is the same as 5/20, so there are 5 boys.

Answer: 5 boys

Answer:

x = 1/20 = 0.050

x = 0

Step-by-step explanation:

either of those

Answer:

Hey bro,

The answer should - 39x i.e minus 39x

Answer:

2.20

Step-by-step explanation:

First, change 42° to radian

42/180 * π = 0.733 rad

The length of the arc = 3 * 0.733 = 2.20

The required measure of the arc RT is given as 2.512 units.

Given that,
In circle S with m RST = 42 and

RS = 3 units,

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

Where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
Arc = radius  × angle
Arc = 3 × 42 × π/180

The length of the arc = 2.512

Thus, the required measure of the arc ET is given as 2.512 units.

Learn more about circle here:

brainly.com/question/11833983

#SPJ2

The z-score of a car that is 6 years old is  -0.625.

To find the z-score of a car that is 6 years old, we can use the formula:

z = (x - μ) / σ

where x is the value we are interested in (in this case, 6 years old), μ is the mean of the distribution (8 years), and σ is the standard deviation (3.2 years).

Plugging in the values, we get:

z = (6 - 8) / 3.2 = -0.625

Therefore, the z-score of a car that is 6 years old is -0.625. This indicates that the car is 0.625 standard deviations below the mean age of cars driven by employees at the company. Since the distribution is normal, we can use this z-score to find the probability of finding a car with an age of 6 years or less, using a z-table or a calculator.

To learn more about z-score here:

https://brainly.com/question/15016913

#SPJ1