5, 20, 80, ...
what is the sequence?

The area of the shaped portion of the given diagram(circle) would be = 153.86cm²

The formula which is used to calculate the area of a circle = πr²

where π = 3.14

radius = 7 cm

Therefore the area of the shaded part of the circle ;

= 3.14 × 7²

= 3.14 × 49

= 153.86cm²

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Answer:

original box wasn't given... atleast send original surface area..

Step-by-step explanation:

^^^^^^!!!!!!!!!!^^^^^^

Answer:

We conclude that it would take 4.5 minutes to fill the full barrel.

Step-by-step explanation:

It is stated that it took 3/4 of a minute to fill a barrel 1/6 full of water.

It is conditioned that the water continues at the same rate.

so

Total parts of a barrel = 6

It takes 0.75 minutes to fill the 1 part of a barrel

Thus, multiply 0.75 by 6 will determine the total time in minutes to fill all the 6 parts of a barrel (or a full barrel).

i.e.

0.75 × 6 = 4.5 minutes.

Therefore, we conclude that it would take 4.5 minutes to fill the full barrel.

The least and the greatest amounts are $98 and $112

The food budget is modeled by 0.5|x - 110| = 6

So, we have:

0.5|x - 110| = 6

Divide both sides by 0.5

|x - 110| = 12

Remove the absolute bracket

x - 110 = 12 and x - 110 = -12

Add 110 to both sides

x = 112 and x = 98

Hence, the least and the greatest amounts are $98 and $112

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To prove that triangle ABC is an isosceles right triangle, we need to show that two sides of the triangle are equal in length and one angle is a right angle.

Distance Formula:

The distance between two points (x₁, y₁) and (x₂, y₂) is given by the distance formula:

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

Using the distance formula, we can calculate the lengths of the three sides of the triangle:

Side AB: d₁ = √[(6 - (-2))² + (2 - 4)²] = √[8² + (-2)²] = √(64 + 4) = √68

Side BC: d₂ = √[(1 - 6)² + (-1 - 2)²] = √[(-5)² + (-3)²] = √(25 + 9) = √34

Side AC: d₃ = √[(-2 - 1)² + (4 - (-1))²] = √[(-3)² + 5²] = √(9 + 25) = √34

Slope Formula:

The slope between two points (x₁, y₁) and (x₂, y₂) is given by the slope formula: m = (y₂ - y₁) / (x₂ - x₁)

Using the slope formula, we can calculate the slopes of the three sides of the triangle:

Slope AB:

m₁ = (2 - 4) / (6 - (-2)) = (-2) / 8 = -1/4

Slope BC:

m₂ = (-1 - 2) / (1 - 6) = (-3) / (-5) = 3/5

Slope AC:

m₃ = (4 - (-1)) / (-2 - 1) = 5 / (-3) = -5/3

From the distances calculated and the slopes of the sides, we can see that side AB is equal in length to side BC (both √34), indicating that two sides are equal. Additionally, the slope of side AC (m₃ = -5/3) is the negative reciprocal of the slope of side AB (m₁ = -1/4), indicating that the two sides are perpendicular, and hence, one angle is a right angle.

Therefore, triangle ABC is an isosceles right triangle.

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Answer:

24 min

Step-by-step explanation:

14-8 is 6 so you need to shrink it 6 feet until it has a daimiter of 8.

6 divided by .25 is 24 so you have your answer

14-.25x=8

The equation is 14 - 0.25x = 8.

It will take 24 minutes for the balloon to shrink.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Given:

A hot-air balloon has a 14-foot diameter.

Rate of 0.25 feet per minute.

Now, equation to represent the situation is

14 - 0.25x = 8

On further solving

6= 0.25x

x= 6/0.25

x= 24

Hence, it will take 24 minutes for the balloon to shrink.

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Answer:

6

Step-by-step explanation:

Answer:

The Correct Answer is 2

Step-by-step explanation:

Trust me for I have the skills of a scientist

The required area of figure is 90 square centimeters.

Two of the edges of a right triangle are perpendicular to one another. Consequently, one of them will be the triangle's height and the other its base. Therefore, if you know the side lengths, you are given the height and base even if they are not mentioned. Therefore, to calculate the area, use the formula \(Area = \frac{1}{2}bh\).

Given figure is consist of rectangle and right angled triangle.

Base of triangle = 12 - 8 = 4 cm, Height of triangle = 5 cm

dimensions of rectangle are 10 by 8

Area of figure = area of rectangle + area of triangle

Area of figure = 10(8) + \(Area = \frac{1}{2}5(4)\)

Area of figure = 80 + 10

Area of figure = 90 square centimeters

Thus, required area of figure is 90 square centimeters.

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Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

The slope of the line through (-4, 2) and (3, -3) is; -5/7

According to the question;

The slope, m of the line is given mathematically as;

Therefore, in this case;

Slope, m = -5/7

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Answer:

in the first person participle.

Step-by-step explanation:

Answer:

x=11

z=16

Step-by-step explanation:

5x+3z=70

3x+4z=64

2x-z=6

z=2x-6

5x+3(2x-6)=70

11x=88

x=11

z=2(11)-6

  =16

Step-by-step explanation:

Exponential form : a^x = N

Logarithmic form : log(a) N = 3..[ here a is the base ]

=> log(6) 216 = 3

★ PLEASE MARK BRAINLIST ★

Card 1= 20

Card 2= nOt sure

Card 3=28

Card 4= 40

Hope this helps!

Answer:

b

Step-by-step explanation:

Total hours for biweek or 2 weeks

Hourly pay=$18.25

Total home pay

Atleast $255 per week you can easily acquire 1000 also by toil

Answer:  A. x=-2y^2

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I just did the test

Answer:

7

Step-by-step explanation:

The probability of choosing sausage and onion by Rosa's mom from the given 8 different toppings as per given condition is equal to

(1/ ⁸C₂).

As given in the question,

Total number of different toppings = 8

Number of different toppings choose by Rosa's mom randomly = 2

Possibility of choosing sausage and onion (any one) = 1

Total number of outcomes = ⁸C₂

Number of favorable outcomes = 1

Probability of choosing sausage and onion ( exactly ) one topping

= ( Number of favorable outcomes ) / ( Total number of outcomes )

= ( 1/⁸C₂ )

Therefore, the probability when Rosa's mom chooses sausage and onion out of 8 toppings is equal to ( 1/⁸C₂ ).

The above question is incomplete, the complete question is:

A pizza restaurant is offering a special price on pizzas with 2 toppings. They offer the toppings

below:

Pepperoni ,Sausage, Chicken ,  Green pepper , Mushroom ,Pineapple, Ham, Onion

Suppose that Rosa's favorite is sausage and onion, but her mom can't remember that, and she is going to randomly choose 2 different toppings.

What is the probability that Rosa's mom chooses sausage and onion?

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Answer:

1/8c^2

Step-by-step explanation:

Khan Acadmey

Answer:

24

Step-by-step explanation:

Write down 6 and 8 on a piece of paper. Write down all the multiples of 6 (6, 12, 18...) and do the same for 8 (8, 16, 24). Stop at the 12th multiple. (For six it's 72, and for 8 it's 96. ) Go over all the multiples and see if there are any answers that are alike. (Sometimes there isn't any so keep the pattern going.) For this example, some multiples that they share are 24, 58, and 72. The one that is the lowest is 24. Ellie is 24.

The estimated change in yy using differentials is -0.00679. This means that if xx is increased by 0.005, then yy is estimated to decrease by 0.00679. The differential of yy is dy=-5sin(5x)dxdy=−5sin⁡(5x)dx. We are given that y=cos(5x)=π/30y=cos⁡(5x)=π/30 and x=0.055x=0.055.

We want to estimate ΔyΔy, which is the change in yy when xx is increased by 0.005. We can use the differential to estimate ΔyΔy as follows:

Δy≈dy≈dy=-5sin(5x)dx

Plugging in the values of y, x, and dxdx, we get:

Δy≈-5sin(5(0.055))(0.005)≈-0.00679

Therefore, the estimated change in yy using differentials is -0.00679.

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If 'p' and 'q' are natural numbers and 'p' is the multiple of 'q', then what is the HCF of 'p' and 'q' is 'q'.

What is HCF?

Highest Common Factor is the acronym for this term. The highest factor that may divide two integers evenly is known as the HCF of two numbers. HCF can be assessed using two or more numbers. It is the most powerful divisor for any pair of integers that can divide the inputted numbers equally or fully.

If 'p' is the multiple of 'q', then we can write -

p = nq

where 'n' is a natural number.

To find the HCF of 'p' and 'q', we can use the Euclidean algorithm.

Step 1: Divide 'p' by 'q'

nq/q = n

Step 2: Find the remainder when 'q' is divided by 'n'

q = n × quotient + remainder

where quotient is the result of the division and remainder is the remainder.

Step 3: Repeat the previous step with 'n' and 'remainder' instead of 'q' and 'n'.

n = remainder × quotient1 + remainder1

Step 4: Continue repeating the previous step until the remainder is 0.

If the remainder is 0, then the HCF is the last non-zero remainder.

Since 'p' is a multiple of 'q', the remainder when 'p' is divided by 'q' is 0.

Therefore, the HCF of 'p' and 'q' is 'q'.

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sinx>0 and cos2x<1 the system of inequalities the solution set is: {x | x ∈ [0, π) ∪ (π, 2π)}

To solve the system of inequalities sinx > 0 and cos2x < 1, we need to find the values of x that satisfy both inequalities simultaneously.

Since sinx > 0, we know that x lies in the first or second quadrant, where the sine function is positive. We also know that cos2x < 1, which means that cos2x can take any value less than 1.

Now, using the double angle formula for cosine, we can write:

cos2x = 2cos^2 x - 1

Substituting cos2x < 1, we get:

2cos^2 x - 1 < 1

Simplifying, we get:

cos^2 x < 1

Taking the square root of both sides, we get:

cos x < 1

Since x lies in the first or second quadrant, we know that cos x can take any value between -1 and 1. Therefore, the inequality cos x < 1 is always satisfied.

So, to summarize, the system of inequalities sinx > 0 and cos2x < 1 is satisfied by all values of x in the first or second quadrant.

In other words, the solution set is:

{x | x ∈ [0, π) ∪ (π, 2π)}

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Step-by-step explanation:

121 *3 = 363

363 - 117 - 108 = 138(g)

The value of f(3) is 147.3306

The function is given as:

\(f(x)=147+2e^{-0.6x\)

Substitute 3 for x

\(f(3)=147+2e^{-0.6*3\)

Evaluate the product

\(f(3)=147+2e^{-1.8\)

Evaluate the exponent

f(3)=147 + 2* 0.1653

Evaluate the sum

f(3) = 147.3306

Hence, the value of f(3) is 147.3306

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The exact position of x=45.5 can be indicated on this curve using the corresponding z-score.

Assuming a normal distribution with mean μ=40 and standard deviation σ=2, we can use the standard normal distribution curve to determine the position of x=45.5.

First, we calculate the z-score of x=45.5 using the formula:

z = (x - μ) / σ

Substituting the given values, we get:

z = (45.5 - 40) / 2

z = 2.75

This means that x=45.5 is 2.75 standard deviations above the mean.

A standard normal distribution table or a calculator to find the area under the curve to the left of z=2.75.

This area represents the proportion of values that are less than or equal to z=2.75.

Using a calculator, we find that the area to the left of z=2.75 is approximately 0.997.

This means that about 99.7% of values in a normal distribution are less than or equal to x=45.5.

On the standard normal distribution curve, the value of z=2.75 is located to the right of the mean, and the area under the curve to the left of z=2.75 is shaded.

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The given x value of x = 45.5 falls to the right of the mean (μ) on the normal distribution curve.

In a normal distribution, the mean (μ) represents the center of the distribution, and the standard deviation (σ) determines the spread of the data. The normal distribution is symmetric, so values to the left of the mean are smaller, while values to the right are larger.

Given x = 45.5, which is greater than the mean μ = 40, we can infer that the corresponding point on the normal distribution curve would be to the right of the mean. The exact location of x = 45.5 on the curve would depend on the standard deviation σ.

The standard deviation σ = 2 provides information about how the data is spread around the mean. However, without further information, we cannot determine the specific position of x = 45.5 on the curve relative to the standard deviation.

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The value of 8(x + 7) is 8x + 56.

The value of 6(11 + x) is 66 + 6x.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The distributive property of  multiplication over addition states that,

a x (b + c) = a x b + a x c

Now,

8 x (x + 7)

= 8 x (x) + 8 x 7

= 8x + 56

6 (11 + x)

= 6 x 11 + 6 x (x)

= 66 + 6x

Thus,

The value is 8x + 56 and 66 + 6x.

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Answer:

Step-by-step explanation:

The answer is A. This is because 3 tens also equals 30 or 3 is in the tens place. For example 234, 3 is in the tens place.

Answer:

the answer is 12.88

Step-by-step explanation:

Answer:

The answer to your question is 12.88

Step-by-step explanation:

The skip interval should be 40 if the sampling frame has 2000 names and the desired sample size is 50.

Systematic sampling is a type of sampling which uses the probability method where researchers select members of the group or population at a regular interval.

To determine the skip interval, it is necessary to first determine the sample size. Then the skip interval can be determined by dividing the total population by the target/desired sample size. Therefore;

skip interval = population / target sample size

Substituting the given values;

skip interval = 2000 / 50

skip interval = 40

Hence, the skip interval is calculated to be 40 if the frame has 2000 names and the desired sample size is 50.

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A line on a graph is a series of points connected by a straight line. It is used to show continuous change or a relationship between two variables.

A line on a graph is a visual representation of a continuous change or a relationship between two variables. It is made up of a series of points connected by a straight line, making it easy to compare changes in data over a period of time. The points on the line represent the values for the two variables being graphed, with the horizontal axis (x-axis) representing one variable and the vertical axis (y-axis) representing the other. The points on the line can be joined with either a straight line or a curved line, depending on the type of data being graphed. For example, a straight line will be used to show a linear relationship between two variables, while a curved line might be used to show a non-linear relationship. By examining the line, it is possible to determine the rate of change or the correlation between the two variables being graphed.

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Using the information provided in the table, The total holding cost is  $547.50, the total setup cost is $600 and the total cost is  $1,147.50.

To develop a POQ (Periodic Order Quantity) solution use a lot-for-lot solution, which means that we will order exactly what we need for each period.

The missing values can be found on the attached table.

From the table, the total holding cost which is the sum of the holding costs for all periods is $547.50 while the total setup cost which is the sum of the setup costs for all periods is $600.

Therefore, the total cost is the sum of the holding cost and the setup cost and it is calculated as $1,147.50.

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