Find VW to the nearest tenth using Pythagorean Theorem.41(1,3)OW (6,1)

The slope of the line is 2 and it's y - intercept is -1

Slope of a line is the change in y coordinate with respect to the change in x coordinate.

The net change in y-coordinate is represented by Δy and the net change in x-coordinate is represented by Δx.

Hence, the change in y-coordinate with respect to the change in x-coordinate is given by,

m = Δy/Δx

Where “m” is the slope of a line.

The slope of the line can also be represented by

m = y₂ - y₁ / x₂ - x₁

Taking two points from the line;

Substituting the formula into the equation

m = 3 - 1 / 2 - 1

m = 2

The y-intercept is the point at which the line touches the y-axis. In this graph, the y - intercept is at - 1

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Answer:

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

it is very simple question

Answer:

The number is 12

Step-by-step explanation:

If 15 is three more than the number is three less so you do, 15 - 3 which is 12.

I hope this helps

ANSWER

18.58 m

EXPLANATION

We need to find the perimeter of the shaded region of the figure.

The figure is made up of a rectangle with the cut out of a semi-circle, so, to find the perimeter, we will subtract the perimeter of the semi-circle (without the diameter) from that of the rectangle.

The perimeter of the rectangle is:

P = 2(L + B)

where L = length = 8 m

B = breadth = 6 m

So, the perimeter of the rectangle is:

P = 2(8 + 6) = 2 * 14

P = 28 m

The perimeter (circumference) of the semi-circle (without the diameter) is:

C = π * R

where R = radius of the semicircle

The diameter is 6 m, so the radius is:

R = D / 2 = 6 / 2 = 3 m

So, the circumference of the semicircle is:

C = 3.14 * 3

C = 9.42 m

So, the perimeter of the composite figure is:

P = 28 - 9.42

P = 18.58 m

That is the answer.

Answer:

You aren't posting pictures

Step-by-step explanation:

Answer:

X<-4

Step-by-step explanation:

-3x+10>22

subtract 10 to both sides

-3x>12

divide by -3 on both sides

when you divide by a negative number you flip the sign so the answer will be x<-4

Answer:

a. \( 9a^3 - 9ab^2 \)

b. \( 9a(a^2 - b^2) \)

Step-by-step explanation:

a.

\( Volume = l*w*h \)

\( Volume_{smaller} = l*w*h \)

Where, \( l = 9a, w = b, h = b \)

\( Volume_{smaller} = 9a*b*b = 9ab^2 \)

\( Volume_{larger} = l*w*h \)

Where, \( l = 9a, w = a, h = a \)

\( Volume_{smaller} = 9a*a*a = 9a^3 \)

Volume of the shaded figure = \( 9a^3 - 9ab^2 \)

b. \( 9a^3 - 9ab^2 \) expressed in factored form:

Look for the term that is common to 9a³ and 9ab², then take outside the parenthesis.

\( 9a^3 - 9ab^2 = 9a(a^2 - b^2) \)

Answer: 2.29

Step-by-step explanation:

The critical z-value for \((1-\alpha)\%\) confidence level is given by :

\(z_{\alpha/2}\) i.e. the two tailed z-value .

Significance level for 97.8% confidence level = 1-0.978 = 0.022

Now, required critical value = \(z_{0.022/2}=z_{0.011}=2.29\)  [From z-table]

Hence, the critical z-value for a 97.8% confidence interval = 2.29

The critical z-value for a 97.8% confidence interval is 2.529.

"To understand the calculation, check below."

Given:

confidence interval=97.8%

Formula:

The critical z-value for confidence level =.\((1-\alpha )\)%

Significance level for 97.8% confidence level = 1-0.978

Significance level for 97.8% confidence level = 0.022

Critical value = \(z0.22/2 =z0.011\)  [From z-table]

Critical value = 2.29

Hence, the critical z-value for a 97.8% confidence interval is 2.29.

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Answer:

D' (1,4)

Step-by-step explanation:

D(4,1)  When reflecting over y = x, switch the x and y values.

Answer:

B = 76, C = 38

Step-by-step explanation:

A + B + C = 196

substitute A = 82 and B = 2C into the equation

82 + 2C + C = 196

82 + 3C = 196 ( subtract 82 from both sides )

3C = 114 ( divide both sides by 3 )

C = 38

B = 2C = 2 × 38 = 76

If Zachary found a coupon to buy three tacos at regular price and get 6.50 off his total. The amount that the taco price need to be in order for Liam and Zachary to spend the same amount is -$1.

Let x present the taco price needed

Formulate an equation

4x + 5.50 = 3x + 6.50

Rearrange

4x -3x =- 6.50 + 5.50

1x = -1

Divide both side by 1x

x = -1/1

x = -1

Therefore the amount is -$1.

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The expression is factorized to give (x + 7) and (x + 7)

Factorization described a mathematical methods that consists of writing a number or mathematical object as a product of several other factors that are mostly simpler or smaller objects of the same kind.

Given the quadratic equation;

x² + 14x +49

Find the pair factors of 49 that sum up to 14, the numbers are 7 and 7

Now, substitute the numbers in the expression

x² + 7x + 7x + 49

Make into two expressions, we have;

(x² + 7x) + (7x + 49)

factor out the common terms, we get;

x(x + 7)+ 7(x + 7)

Then, we have;

(x + 7)

(x + 7)

Hence, the factorized form is (x + 7) and (x + 7)

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The number of minutes spent higher than 38 meters above the ground on the Ferris wheel ride is approximately 1.0918 minutes.

To solve this problem, we need to determine the angular position of the Ferris wheel when it is 38 meters above the ground.

The Ferris wheel has a diameter of 50 meters, which means its radius is half of that, or 25 meters.

When the Ferris wheel is at its highest point, the radius and the height from the ground are aligned, forming a right triangle.

The height of this right triangle is the sum of the radius (25 meters) and the platform height (4 meters), which equals 29 meters.

To find the angle at which the Ferris wheel is 38 meters above the ground, we can use the inverse sine (arcsine) function.

The formula is:

θ = arcsin(h / r)

where θ is the angle in radians, h is the height above the ground (38 meters), and r is the radius of the Ferris wheel (25 meters).

θ = arcsin(38 / 29) ≈ 1.0918 radians

Now, we know the angle at which the Ferris wheel is 38 meters above the ground.

To calculate the time spent higher than 38 meters, we need to find the fraction of the total revolution that corresponds to this angle.

The Ferris wheel completes one full revolution in 2 minutes, which is equivalent to 2π radians.

Therefore, the fraction of the revolution corresponding to an angle of 1.0918 radians is:

Fraction = θ / (2π) ≈ 1.0918 / (2π)

Finally, we can calculate the time spent higher than 38 meters by multiplying the fraction of the revolution by the total time for one revolution:

Time = Fraction \(\times\) Total time per revolution = (1.0918 / (2π)) \(\times\) 2 minutes

Calculating this expression will give us the answer in minutes.

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Answer:continuous

Step-by-step explanation:

Answer:

3: 1/4 4:1/2 5: 27/32 6: 1/5 7: 1/6 8: 5/6

Step-by-step explanation:

The circumference of the circle which has a diameter of 32 inches is 100.5 inches to the nearest tenth.

Given that,

Diameter of a circle = 32 inches

Radius = Half of the diameter

           = 32/2

           = 16 inches

The formula to find the circumference of the circle is,

Circumference = 2πr, where r is the radius of the circle.

Circumference = 2π × 16 = 32π inches

                                         = 100.48 inches ≈ 100.5 inches

Hence the circumference of the circle is 100.48 inches.

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Answer:

1= 6x2

2= -6b3

Step-by-step explanation:

The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562.

There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given first equation,

(-4x² + 6x + 3) + (8x + 5 + ?) = 2x ²+ 14x + 8

-4x² + 6x + 8x + 3 + 5 + ? = 2x ²+ 14x + 8

-4x² + 14x + 8 + ? = 2x ²+ 14x + 8

? = 2x ²+ 14x + 8 + 4x² - 14x - 8

? = 6x²

In the second equation,

(-b³ + 3b² + 8) – (? - 562 - 9) = 5b³ + 8b² + 17

(-b³ + 3b² + 8) - (5b³ + 8b² + 17) =  (? - 562 - 9)

? = -b³ - 5b³ + 3b² - 8b² + 8 - 17 + 571

? = -6b³ - 5b² + 562

Hence "The missing value in the first equation is 6x² while in the second it is -6b³ - 5b² + 562".

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Answer:

The number is 500.

Step-by-step explanation:

Let n be the number

Convert percent to decimal

20% = 0.20

0.20n = 100

Divide both sides of the equation by 0.20

0.20n/0.20 = 100/0.20

n = 500

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

It is the measure of the dispersion of statistical data. Dispersion is the extent to which the value is in variation.

\(\rm \sigma = \sqrt{\dfrac{\Sigma (x_i - \mu)^2}{n}}\)

For the seniors, the mean is given as,

Mean = (5 x 2 + 35 x 2 + .... + 15 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 5)² + (26 - 5)² + (26 - 15)²] / 10

σ = 14.28

For the juniors, the mean is given as,

Mean = (40 x 2 + 25 x 2 + ....... + 40 x 2) / 10

Mean = 26

Then the standard deviation is given as,

σ = √[(26 - 40)² + (26 - 25)² + (26 - 40)²] / 10

σ = 13.19

The standard deviation of the number of toys donated by juniors is greater than that of seniors.

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The complete question is given below.

Answer:

y = 48

Step-by-step explanation:

14 x 2 = 28

28 + 20 = 48 = y

16 x 2 = 32

80 - 32 = 48 = y

Given a table that represents the relation between (x) and (y):

We will find the unit rate (k) in the proportional relationship y = kx shown in the table

From the given equation:

Choose the data of one raw to find (k)

so, from the first raw:

When x = -2, y = -1/2

So, the answer will be k = 1/4

Answer:

16

Step-by-step explanation:

The minimum number of trips the bus will have to make to accommodate everyone is 5.

To find the minimum number of trips the bus needs to make, we divide the total number of people by the capacity of the bus.

1. Divide the total number of people (330) by the capacity of the bus (68):

  330 / 68 = 4.85 (rounded to the nearest whole number)

2. The result is approximately 4.85, which means that 4 trips will not be enough to accommodate everyone.

3. Since we can't have a fraction of a trip, we need to round up to the nearest whole number to ensure that everyone is accommodated.

4. Therefore, the minimum number of trips the bus will have to make is 5, as it will require 5 full trips to transport all 330 people.

It's important to note that on the fifth trip, the bus will not be completely full, as only 10 people will be left to transport. However, this is the minimum number of trips needed to ensure that everyone can go sight-seeing on the bus.

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Answer:

log100=log(400)- log(4)

=log(100x4) - log4

=log100 + log4 -log4

= log100

Step-by-step explanation:

log400 = log 100x4 but log ab = log a + log b

A fully inflated professional basketball has a circumference of 78 centimetres, hence the football's radius is 12.42 cm.

A circle is created when almost every point there in plane that is a specific distance away from another point does so (center). As a conclusion, it is a curve made up of segments that are spaced from each other in the plane. It is rotationally homogeneous about the centre in anyway angles. All pair of points in the grid that make up a circle are evenly spaced away from the "centre" and create a closed, two-dimensional object. A specular parity line is generated by a line that passes through circle. It is rotationally symmetric about just the centre at all angles.

given

The football's circumference is 12.42 cm.

Football's circumference is 78 cm.

The formula for the football's circumference is C = 2pir

= 78 r

= 78/2pi r

= 12.42 cm.

A fully inflated professional basketball has a circumference of 78 centimetres, hence the football's radius is 12.42 cm.

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The inequality could be used to find the greatest number of people, p, that can attend is  3.5p + 5p ≤ 300.

Here the inequality is that the sum of the cost of rentals and food which is represented by 3.5p and 5p, respectively, must be less than or equal to $300. By solving the inequality we can determine the maximum number of people that can attend the party while staying within Xian's budget.

To solve the inequality, we first subtract 5p from both sides to isolate the 3.5p term. This results in 3.5p≤300-5p. Then we divide both sides by 3.5 to isolate p, which yields p≤85.71. Since we can't have a fractional number of people, we can determine the maximum number of 85  people that can attend the party.

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