A rubber bouncy ball is bouncing up and down such that the ball's distance, d, in feet above the ground is given by the inequality

Which of the following graphs shows all the possible distances?

The volume of the rectangular prism given the length, width and height is 6 14/27 cubic feet.

The correct answer choice is option B

Volume of a rectangular prism= length × width × height

Length= 1 5/6 ft

Width = 1 1/3 ft

Height = 2 2/3 ft

Volume of a rectangular prism= length × width × height

= 1 5/6 × 1 1/3 × 2 2/3

= 11/6 × 4/3 × 8/3

= (11 × 4 × 8) / (6 × 3 × 3)

= 352 / 54

= 6 28/54

= 6 14/27 cubic feet

In conclusion, the volume of the rectangular prism is 6 14/27 cubic feet

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The following data shows the daily production of cell phones. 7, 10, 12, 15, 18, 19, 20. Mean The formula for finding the mean is: mean = (sum of observations) / (number of observations).

Therefore, the mean for the daily production of cell phones is: Mean = (7+10+12+15+18+19+20) / 7

= 101 / 7

Mean = 14.43

Variance The formula for finding the variance is: Variance = (sum of the squares of the deviations) / (number of observations - 1) Where the deviation of each observation from the mean is: deviation = observation - mean First, calculate the deviation for each observation:7 - 14.43

= -7.4310 - 14.43

= -4.4312 - 14.43

= -2.4315 - 14.43

= 0.5718 - 14.43

= 3.5719 - 14.43

= 4.5720 - 14.43

= 5.57

Now, square each of these deviations: 56.25, 19.62, 5.91, 0.33, 12.75, 20.9, 30.96 The sum of these squares of deviations is: 56.25 + 19.62 + 5.91 + 0.33 + 12.75 + 20.9 + 30.96

= 147.72

Therefore, the variance for the daily production of cell phones is: Variance = 147.72 / (7-1) = 24.62 Standard deviation ) Mean = 14.43b) Variance per Day = 24.62c) Standard Deviation = 4.96

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Answer:

X = 1/2, 2

Step-by-step explanation:

= (2x-1)(x-2)

Answer:

OK I DON'T KNOW IF THIS IS IT BUT THE ANSWER IS POSSIBLY 0??? AND IF I DOESN'T WORK I'M SORRY

Step-by-step explanation:

Answer:

171.21

Step-by-step explanation:

Answer: 0.109011627907

Step-by-step explanation:75 divided by 688 =0.109011627907

Two point charges, q1 = 3.99 nC located at x = 0.205 m and q2 = 5.01 nC at x = -0.302 m, are placed on the x-axis. The electric field and direction at a given point can be calculated using the principle of superposition.

The electric field at a point due to a point charge is given by Coulomb's law, E = kq/r^2, where E is the electric field, k is Coulomb's constant (8.99 x 10^9 Nm^2/C^2), q is the charge, and r is the distance between the point charge and the point where the electric field is being measured. To calculate the net electric field at a point due to multiple charges, we use the principle of superposition, which states that the total electric field at a point is the vector sum of the electric fields due to each individual charge.

In this case, we have two charges, q1 = 3.99 nC and q2 = 5.01 nC. The electric field at a point P on the x-axis, due to q1, can be calculated as E1 = kq1/r1^2, where r1 is the distance between q1 and point P. Similarly, the electric field at point P due to q2 can be calculated as E2 = kq2/r2^2, where r2 is the distance between q2 and point P. To find the net electric field at point P, we add the electric fields vectorially, E_net = E1 + E2.

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The natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

There are several transformations of variables to accommodate non-linear relationships in a linear regression model. Three of the common ones are: The natural log-transformation.For a given predictor X, we can create an additional predictor X² to accommodate a quadratic relationship between X and Y.For a given predictor X, we can create an additional predictor X³ to accommodate a cubic relationship between X and Y.Therefore, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model. The natural log transformation is the one that's most frequently employed. It changes the distribution of a variable to make it more normal and decrease the impact of outliers. It is common for continuous predictors with right-skewed or exponential distributions, such as income, expenditures, or time. This transformation is most frequently used to help correct non-normal distributions and to correct heterogeneity of variance.

So, the natural log-transformation is among the common transformations of variables to accommodate non-linear relationships in a linear regression model.

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Answer:

The prime factorization of 36 is 2 x 2 x 3 x 3

We can see that 2, 3, 4 and 6 are factors of 36. Dividing those numbers into 36 will give you the rest of the factor pairs.

(36, 1) (18, 2) (12, 3) (9, 4) (6, 6)

Hope this helps you

Step-by-step explanation;

The Ole Paint Shop has 11 paintbrushes that went for $7.35 and 25 paintbrushes that went for $9.80.

The Ole Paint Shop sold a total of 34 paintbrushes.

let

x = the number of brushes that sell for $7.35 of one sort each

similar at $9.80 a piece.

y = Number of brushes selling for $9.80

The total amount collected for the brushes was $325.85

Overall cost: $325.85

What proportion of each sort was sold?

we need to find x and y

Let's now make two equations:

x + y = 36

=> x = 36 - y

7.35x + 9.80y = 325.85

In the second equation, replace x with the first expression:

7.35 ( 36 - y) + 9.80y = 325.85

264.6 - 7.35y + 9.80y = 325.85

2.45y =61.25

y = 25

now substitute value of y in first equation

x = 36 -25

x = 11

The Ole Paint Shop has 11 paintbrushes that went for $7.35 and 25 paintbrushes that went for $9.80.

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The total proportion of shirts between two prices is 0.9431, which is obtained using the knowledge of proportion and statistics.

What is proportion?

In mathematics, a proportion is defined as the comparison between two numerical quantities. If both possess the same nature, they are called directly proportional, or else called inversely proportional.

Calculation of the proportion based on the problem

The mean and standard deviation are given to be 45 and 5 respectively

Calculate standard normal variate using the formula, z = (x - 45) / 5

Taking x = 37, we get,

z1 = (37 - 45) / 5

= -1.6

Using the z table, we get the value, z1 = 0.0548

Now, taking x = 59.35, we get,

z2 = (59.35 - 45) / 5

= 2.87

Using the z table, we get the value, z2 = 0.9979

The proportion between two prices is given by z = z2 - z1

z = 0.9979 - 0.0548

= 0.9431

Hence, the proportion of shirts between the two prices is 0.9431.

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Answer:

x = 1 or 2

Step-by-step explanation:

\( \sqrt{2 - x} = x - 2\)

Squaring both the sides ,

\( = > { (\sqrt{2 - x}) }^{2} = {(x - 2)}^{2} \)

\( = >2 - x = {x}^{2} - 4x + 4\)

Adding like terms ,

\( = > {x}^{2} - 4x + x + 4 - 2 = 0\)

\( = > {x}^{2} - 3x + 2 = 0\)

Factorising the eqn. ,

\( = > {x}^{2} - x - 2x + 2 = 0\)

\( = > x(x - 1) - 2(x - 1) = 0\)

\( = > (x - 1)(x - 2) = 0\)

Here x will have 2 values .

1) \(x - 1 = 0\)

\( = > x = 1\)

2) \(x - 2 = 0\)

\( = > x = 2\)

Answer:

1240.4

Step-by-step explanation:

Use formula SA=1/2(l)(p)+B

B equals the Area of the base (they gave you this info)

B=440.4

now you just need the other pieces of the formula.

"l" is the slant height, which they gave you.

"p" is the perimeter....they gave you one side, now take it tunth

Answer:

Step-by-step explanation:

Mathematically, the area of a sector can be calculated using the formula below;

area of sector = angle/360 * pi * r^2

From the question, angle = 180

pi= 22/7

r = d/2 = 5.6cm/2 = 2.8 cm

So the area of the sector is as follows;

A = 180/360 * 22/7 * 2.8^2

A = 2 * 22/7 * 2.8^2 = 49.28

which is 49.3 cm^2 to the nearest tenth

Answer:

Step-by-step explanation:

Answer:

\(36\)

Step-by-step explanation:

The expression \(_nC_k\) is used to denote the number of ways you can choose \(k\) things from a set of \(n\) things. It is equal to:

\(_nC_k=\binom{n}{k}=\frac{n!}{k!(n-k)!}\)

In this case, \(n=9\) and \(k=2\), so:

\(\implies \frac{9!}{2!(9-2)!}=\frac{9!}{2!7!}=\boxed{36}\)

You can also think of it like this:

\(_9C_2\) is saying 9 choose 2. We are choosing 2 things from a set of 9 things, where order doesn't matter. For the first thing we choose, there are 9 options. Then 8 options, 7, and so on. Since we're only choosing two things, there are \(9\cdot 8=72\) permutations. However, the order of which we choose each thing does not affect what we've chosen overall (e.g. If we're choosing two donut flavors original and strawberry, it doesn't matter which flavor I choose first, because I'm still getting the same two flavors). Therefore, we must divide this by the number of ways we can arrange two distinct values, which is \(2!\). Our answer is thus \(\frac{72}{2!}=\frac{72}{2}=\boxed{36}\)

=========================================================

Explanation:

We have 9*8 = 72 different permutations. This is if we used the nPr formula with n = 9 and r = 2.

Notice the countdown from 9 to 8. This is because we don't reuse the same element twice.

Since order doesn't matter with nCr, we will divide by 2. This is because something like AB is the same as BA. So we go from 72 to 72/2 = 36

The value 36 is found in Pascal's Triangle in the row that has 1,9,... at the start of it. Start at the left hand side and count exactly 3 spaces to the right, and you should land on 36.

The required Pythagorean triplets are hypotenuse, perpendicular and base is 13, 12 and 5 respectively.

In a right angled triangle, its side, such as hypotenuse, perpendicular and base  is Pythagorean triplets.

We have

Hypohypotenuse = 13
perpendicular = 12
base = 5
Which satisfies the condition of the Pythagorean theorem.

\(a^2+b^2=c^2\\12^2+5^2=c^2\\169=c^2\)

and c = 13

Thus, the required value of Pythagorean triplets satisfies the Pythagorean theorem.  

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Answer:

10 feets

Step-by-step explanation:

Given that:

Angle, θ = 4π/3

Radius, r = 2.5 feets

To obtain how Far Reagan traveled, we calculate the Length of the arc, s

s = r*θ

s = 2.5 feets * 4π/3

s = 10π/3

s = 10.4719

To the nearest foot ; distance traveled by Reagan is 10 feets

Answer:

A

Step-by-step explanation:

divide left and right by 36 and take square root:

\(x = \pm \sqrt\frac{25}{36} = \pm \frac56\)

The dimensions of the posters are 21 inches and 6 inches

What is the area of the rectangle?

Rectangle is a quadrilateral with opposite sides parallel and equal. And every angle is a right angle. The area of the rectangle equals the product of length and breadth

We are given that, The length of a rectangular poster is 9 more inches than two times its width.

Let the length be l and width be w

Hence the relation can be given as,

l = 2w+9

Also the area of the rectangle is 126

hence

126 = l*w

126 = (2w+9)*w

126 = 2w^2+9w

2 w^2+9w-126=0

On solving the equation we get the value of w as

w= 6 and w =-10.5

The length and width cannot be negative hence

W =6

Hence length equals

L =2w+9

L= 12+9

L=21

Hence the dimensions are length = 21 inches and width = 6inches

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Answer:bdbehayssbeu

Step-by-step explanation:

dhdheheyshshsvv55557

The nth term of the given sequence is 6n

The given sequence is 6, 12, 22, 36,....

The formula to find the nth term is

T(n) = a + (n-1)d       ... (1)

Where n is the number of terms

a is first term

d is common difference

Here

n = n. a = 6,

d = 12 - 6 = 6

Substitute the values in equation (1)

T(n) = 6 + (n-1)6

⇒ T(n) = 6 + 6n - 6

⇒ T(n) = 6n

Hence the nth term of the given sequence is 6n

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Answer:

Step-by-step explanation:

both  A and B are equivalent

The percentage of babies weigh between 100 and 140 ounces at birth is 68.26%.

The percentage of babies who weigh between 100 and 140 ounces at birth can be calculated using the Z-score formula as follows:

Z = (X - μ) / σ

Where X is the value of interest, μ is the mean, and σ is the standard deviation. We want to find the percentage of babies who weigh between 100 and 140 ounces at birth, which means we need to find the Z-scores for these two values:

Z1 = (100 - 120) / 20 = -1

Z2 = (140 - 120) / 20 = 1

The percentage of babies who weigh between these two values is equal to the area under the normal distribution curve between the two Z-scores. Using a Z-score table or a calculator, we can find that this area is approximately 68.26%.Therefore, the answer is 68.26%.

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The value of x in the dataset given in the question is 18

The range of a distribution is the difference between the maximum and minimum values in the data.

For the distribution:

10, 15, 8, 12 , x

The minimum value here is 8

The range can be defined mathematically as :

Range = maximum - Minimum

Range = 10

10 = x - 8

add 8 to both sides to isolate x

10 + 8 = x - 8 + 8

18 = x

Therefore, the value of x in the dataset could be 18.

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Answer:

acute angle

Step-by-step explanation:

The acute angle is the angle that has an amplitude of less than 90°. The obtuse angle, on the other hand, has a width greater than 90°. The right angle measures 90° and its sides are orthogonal.

Answer:

an angle less than 90° is an acute angle

Step-by-step explanation:

an angle less than 90° is an acute angle

an angle equal to 90° is a right angle

an angle greater than 90° but less than 180° is an obtuse angle

an angle greater than 180° is a reflex angle

The expression that shows how many beads are on the necklace in all is:

b + 12.

An expression in mathematics is a combination of numbers, variables, and/or operators that represents a mathematical relationship or quantity. It may contain constants, variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Expressions are often used to describe or represent real-world situations, and can be simplified, evaluated, or manipulated using algebraic rules and properties.

In the given question,

To write an expression that shows how many beads are on Josie's necklace in all after adding b more beads:

Start with the initial number of beads on the necklace, which is 12.

To this, add the number of beads Josie added, which is b.

Combine the two terms to form the final expression: 12 + b.

Therefore, the expression that shows how many beads are on Josie's necklace in all after adding b more beads is 12 + b.

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Answer:

slope = 0

eq of line: y = -1

Step-by-step explanation:

A line parallel to the x-axis is a horizontal line. The equation of a horizontal line is " y = anumber". Horizontal lines have 0 slope. The point given is (2,-1). In the point (2,-1) the y is -1. The equation of the horizontal line thru (2,-1) is

y = -1

Answer:

3 pairs for the price of two.

Step-by-step explanation:

$10 per pair

then:

3 pairs costs $20

20/3 = $6.6667 each pair

25% = 25/100 = 0.25

then:

first pair $10

second pair: 10 - (10*0.25) = 10 - 2.5 = $7.5

first + second pair = 10 + 7.5 = 17.5

2 pairs costs $17.5

17.5/2 = $8.75 each pair

then:

the best deal:

3 pairs for the price of two.

The equation for temperature change is T = -1.5t + 29 and the number line is plotted.

What is a number line?

A picture of numbers on a straight line is called a number line. It serves as a guide for contrasting and arranging numbers. Any real number, including all whole numbers and natural numbers, can be represented by it.

Let T represent the temperature in degrees Celsius, and let t represent the time in hours after lunchtime.

Then write an expression for the situation as follows:

T = -1.5t + 29

Here, -1.5t represents the decrease in temperature per hour, since the temperature is dropping at a rate of 1.5 degrees Celsius per hour.

Adding 29 to -1.5t gives the initial temperature of 29 degrees Celsius at lunchtime.

To illustrate this situation on a number line diagram, we can plot the temperature T as a function of time t.

The diagram would have time t on the horizontal axis and temperature T on the vertical axis.

Label the point (0, 29) on the diagram to represent the temperature at lunchtime, and the point (x, 16) to represent the temperature at sunset, where x is the number of hours after lunchtime.

Then draw a straight line connecting these two points to represent the linear relationship between temperature and time.

The line slopes downward from left to right, indicating that the temperature is decreasing over time.

Therefore, the number line diagram is plotted.

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On Tuesday at lunchtime, it was 29 degrees Celsius. By sunset, the temperature had dropped to 16 degrees Celsius. Please write an expression for the situation, and draw a number line diagram.