A square has sides of length s. A rectangle is 6 inches shorter than the square and 1 inch longer. Which of the following expressions represents the perimeter of the rectangle?

Answer:

Step-by-step explanation:

3/5 = 0.6

0.6> 0.2

1/2 = 0.5

0.5 > 0.35

2/10 = 0.2

0.2 > 0.152

The number of bags of fiber stuffing needed to fill the cones is 52 bags.

Given:

Height (h) = 10 inches

Radius (r) = 4 inches

To calculate the number of bags of fiber stuffing needed to fill the ice cream cones, we first need to calculate the volume of a single cone ( cone + hemisphere) using its height and radius.

The volume of a cone can be calculated using the formula:

= (1/3) πr²h

The volume of a hemisphere can be calculated using the formula:

= (2/3) πr³

Substituting these values into the formula, we can find the volume of a single cone:

V = (1/3) π × 4² × 10 + (2/3)π × 4³

V = 167.5 + 134.04

V = 301.54

V ≈ 167.5516 cubic inches (rounded to 4 decimal places)

Now, to determine the number of bags of fiber stuffing needed, we divide the total volume of the cones by the volume that can be filled by a single bag of fiber stuffing:

Number of bags = Total volume of cones / Volume filled by a single bag

Total volume of cones = Volume of a single cone x Number of cones

Total volume of cones = 167.5516 cubic inches x 125 cones

Total volume of cones ≈ 37692.66 cubic inches (rounded to 2 decimal places)

Number of bags = 37692.66 cubic inches / 720 cubic inches (per bag)

Number of bags ≈ 52 (rounded to nearest whole number)

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Answer: x - 15

Step-by-step explanation:

The answer is x - 15

Answer:

x-15

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Substitute the values.

s = 3 and t = -2

8s-5t

8 (3) - 5(-2)

( 8 x 3 ) - ( 5 x -2 )

24 + 10 [ - x - = + ]

= 34

The number line model represents the expression 5\dfrac12+(-3)5 is 2.

To represent the expression 5\dfrac12+(-3)5 using a number line model, we need to understand the order of operations (PEMDAS/BODMAS) to correctly evaluate the expression. The expression involves addition, multiplication, and parentheses, which should be solved in the following order:

Calculate the expression inside the parentheses first: (-3)5 = -15.

Evaluate the fraction 5\dfrac12 as a mixed number: 5\dfrac12 = 5 + \dfrac12 = 5.5.

Add the result from step 2 with the result from step 1: 5.5 + (-15) = -9.5.

Now, let's plot this value on a number line. Assuming we start at 0 and move to the right for positive values and to the left for negative values:

-9.5 would be represented on the number line model as follows:

<-9.5---------------------------------------0----------------------------------------->

|______________________________________________|

Therefore, the correct answer is 2.

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The 90% confidence interval for the proportion of district residents in favor of starting the school day 15 minutes later is (0.392, 0.548). The true proportion is estimated to lie within this interval with 90% confidence.

To calculate the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later, we can use the following formula:

CI = p ± z*(√(p*(1-p)/n))

where:

CI: confidence interval

p: proportion of residents in favor of starting the day later

z: z- score based on the confidence level (90% in this case)

n: sample size

First, we need to calculate the sample proportion:

p = 94/200 = 0.47

Next, we need to find the z- score corresponding to the 90% confidence level. Since we want a two-tailed test, we need to find the z- score that cuts off 5% of the area in each tail of the standard normal distribution. Using a z-table, we find that the z- score is 1.645.

Substituting the values into the formula, we get:

CI = 0.47 ± 1.645*(√(0.47*(1-0.47)/200))

Simplifying this expression gives:

CI = 0.47 ± 0.078

Therefore, the 90% confidence interval for the true proportion of district residents who are in favor of starting the school day 15 minutes later is (0.392, 0.548). We can be 90% confident that the true proportion lies within this interval.

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Answer:$6.87

Step-by-step explanation:

if you add them up you end up wit $6.87

Answer:

Option C: (4.47,-0.46)

Step-by-step explanation:

To convert Cartesian coordinates \((x,y)\) into polar coordinates \((r,\theta)\), use the following formulas:

\(r=\sqrt{x^{2}+y^{2} }\)

\(\theta=tan^{-1}(\frac{y}{x})\)

Therefore:

\(r=\sqrt{x^{2} +y^{2}}=\sqrt{4^2+(-2)^2}=\sqrt{16+4}=\sqrt{20}=4.47\)

\(\theta=tan^{-1}(\frac{y}{x})=tan^{-1}(\frac{-2}{4})=tan^{-1}(-\frac{1}{2})=-0.46\)

Because (4,-2) is located in Quadrant II, the angle must also be located in Quadrant II. Therefore, the correct polar coordinate would be (4.47,-0.46)

The polar coordinate would be (4.47, -0.46).

Although Cartesian coordinates can be utilized in three dimensions (x, y, and z), polar coordinates only identify two dimensions (r and θ). If a third axis, z (height), exists added to polar coordinates, the coordinate system exists directed to as cylindrical coordinates (r, θ, z).

Given:

Let the point be (4,-2).

To convert, cartesian coordinates (x, y) to polar coordinates (r, \($\theta\)),

\($r &=\sqrt{x^{2}+y^{2}} \\\)

\($\theta &=\tan ^{-1} \frac{y}{x} \\$\)

\($ r &=\sqrt{4^{2}+(-2)^{2}} \\\)

\($&=\sqrt{16+4} $\)

\($&=\sqrt{20}\)

= 4.47

\($\theta &=\tan ^{-1} \frac{-2}{4} \\\)

\($&=\tan ^{-1} \frac{-1}{2}=-0.46 \\\)

The polar coordinate would be (4.47,-0.46)

Therefore, the correct answer is option c. r = 4.47, \($\theta\) = -0.46

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Answer:

the perimeter is 960

Step-by-step explanation:

The computation of the perimeter is shown below;

If we assume

= (24 × 2) + (6 × 2)

= 48 + 12

= 60

And, the area is 16 times to that of original So

= 60 × 16

Hence, the perimeter is 960

Answer: (-2,4)

Step-by-step explanation:

A solution is an intersection point between the parabola and the linear function. We can see 2 intersections, one of which is (-2,4)

Therefore, (-2,4) is the solution.

The volume of the wooden roller is approximately equal to 50.27 cm³ (when rounded to two decimal places).

To find the volume of the wooden roller, we can use the formula for the volume of a cylinder:

Volume = π x (radius)^2 x height

First, we need to find the radius of the wooden roller. The diameter is given as 8cm, so the radius is half of that, or 4cm.

Now, we have the following dimensions:

Radius = 4cm

Height = 1cm

Plugging these values into the formula for the volume of a cylinder, we get:

Volume = π x (4cm)^2 x 1cm

= 16π cm^3

Therefore, the volume of the wooden roller is approximately equal to 50.27 cm³ (when rounded to two decimal places).

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Page 1

1)   6 x 12 = 72

2)   7 x 12 = 84

3)   8 x 12 = 96

4)   9 x 12 = 108

Page 2

1)   1 x 4 = 4

2)   2 x 4 = 8

3)   3 x 4 = 12

4)   4 x 4 = 16

Page 3

1)   3 x 100 - 250 = 50

2)   4 x 100 -250 = 150

3)   5 x 100 -250 = 250

4)   6 x 100 -250 = 350

Answer:

7 feet per second

Step-by-step explanation:

The change in elevation of the parachutist is -35 ft in 5 seconds. To find the change in elevation per second, we can divide the total change by the number of seconds.

Change in elevation per second = -35 ft / 5 seconds = -7 ft/s

So the parachutist's elevation changes by -7 ft/s each second.

It means the elevation of the parachute is decreasing by 7 feet per second.

Answer:

complementary angles

Step-by-step explanation:

The two angles add to 90 degrees, which means they are complementary angles

Answer:

903 offices

Step-by-step explanation:

Total number of officers in the sky scraper

= 26 + 31 + [(49-2)×18]

= 26 + 31 + 846

= 903 offices

The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².

Herein we have the case of a parabola whose axis of symmetry is parallel to the x-axis. The standard form of the equation of this parabola is shown below:

(x - h) = [1 / (4 · p)] · (y - k)²     (1)

Where:

The distance from the vertex to the focus is 1 / 8. If we know that the location of the vertex is (0, 0), then the standard form of the equation of the parabola is:

x = 2 · y²     (1)

The equation of a parabola whose vertex is (0, 0) and focus is (1 / 8, 0) is equal to x = 2 · y².

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Answer:

  (a)  A two column table with five rows. ... The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

You want to know which table shows a relation with zero slope.

When a graph has zero slope, it is a horizontal line. Every y-value is the same.

The table demonstrating zero slope will have all y-values the same:

  The second column, y, has the entries, 2, 2, 2, 2

The number of oranges that  Carlos bought is n - 8. n is variable.

What is an expression?

Mathematical expressions consist of at least two numbers or variables, at least one math operation, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator).

The alphabetic character that expresses a numerical value or a number is known as a variable in mathematics. A variable is used to represent an unknown quantity in algebraic equations.

Any alphabet from a to z can be used for these variables. Most frequently, the variables "a," "b," "c," "x," "y," and "z" are used in equations.

Given that Frank bought n oranges. Carlos bought 8 fewer oranges than Frank.

The number of oranges that Frank bought is more than the number of oranges that Carlos.

The number of oranges that Carlos bought is n - 8.

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Answer:

b just took the test and i put c trust me it is b

Step-by-step explanation:

Step-by-step explanation:

» Assume x is the total amount.

\({ \tt{ = x - 300}}\)

Answer:

Answer is 14,000

Step-by-step explanation:

U have to do 14x1000 because each kilo To gram is 1000 so the answer is 14,000

Answer:

Step-by-step explanation:

14,000

Answer:

The 8th term of the AP= 113/5 or 22.6

Answer:

22.6

Step-by-step explanation:

Given:

Find the value of a₆:

\(\implies a+a_6=20\)

\(\implies a_6=20-a\)

\(\implies a_6=20-3\)

\(\implies a_6=17\)

Therefore:

General form of an arithmetic sequence:

\(\boxed{a_n=a+(n-1)d}\)

Where:

Substitute a = 3 and a₆ = 17 into the formula and solve for d:

\(\begin{aligned}\implies a_6=3+(6-1)d&=17\\3+5d&=17\\5d&=14\\d&=2.8\end{aligned}\)

Therefore, the equation for the nth term is:

\(\implies a_n=3+(n-1)2.8\)

\(\implies a_n=3+2.8n-2.8\)

\(\implies a_n=2.8n+0.2\)

To find the 8th term, substitute n = 8 into the equation for the nth term:

\(\implies a_8=2.8(8)+0.2=22.6\)

Based on the given information that 2 out of 20 sample points plotted on a control chart are beyond the control limits, the correct answer is D) The evidence is sufficient to indicate that the process is out of control.

Control charts are used to monitor and control processes, with control limits representing the expected boundaries for a process in control.

When data points fall outside these control limits, it indicates that the process is exhibiting variation beyond the expected range.

In this case, the occurrence of 2 out of 20 sample points beyond the control limits suggests that the process is not operating within the expected range of variation.

This provides sufficient evidence to indicate that the process is out of control.

Option B, stating that the evidence is sufficient to indicate the process is in control, is incorrect based on the information provided. The evidence supports the conclusion that the process is out of control, not in control.

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We can use the integral test to determine the convergence of the series:

∫₂^∞ 1/(x^p ln(x)) dx

We integrate this using u-substitution with u = ln(x):

∫ln(2)^∞ 1/(u^p) du

This integral converges if and only if p > 1, so the given series converges if and only if p > 1.

Therefore, the series converges for all values of p > 1.

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180  possible  combinations does jason need to try

What is Permutation?

In mathematics, permutation relates to the act of arranging all the members of a set into some sequence or order. In other words, if the set is already ordered, then the rearranging of its elements is called the process of permuting. Permutations occur, in more or less prominent ways, in almost every area of mathematics. They often arise when different orderings on certain finite sets are considered.

What is a Combination?

The combination is a way of selecting items from a collection, such that (unlike permutations) the order of selection does not matter. In smaller cases, it is possible to count the number of combinations. Combination refers to the combination of n things taken k at a time without repetition. To refer to combinations in which repetition is allowed, the terms k-selection or k-combination with repetition are often used.

If the combination begins with an odd digit

We have    3 * 2 * 3 * 2 * 3   =   108  possible  combinations

If  the combination  starts  with an even digit

We have  2 * 3 * 2 * 3 * 2 =   72  possible combinations

So 108  +  72  = 180  possible  combinations

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Answer:

79%

Step-by-step explanation:

Answer: Infinitely many

Step-by-step explanation:

Let the value of \(\frac{x}{y}\) be \(k\), where \(k\) is an integer. Then, \(x=ky\).

\(\implies \frac{x+1}{y+1}=\frac{ky+1}{y+1}=\frac{k(y+1)}{y+1}+\frac{1-k}{y+1}=k+\frac{1-k}{y+1}\)

This means we need \(\frac{1-k}{y+1}\) to be an integer. If we let this fraction equal \(n\), then:

\(\frac{1-k}{y+1}=n \implies 1-k=ny+1 \implies y=\frac{-k}{n}\)

From this, we see that there are infinitely many pairs.

The probability that the next two offspring will both be girls is 1/3.

To find P both children are girls

A: Event that both children are girls

A: {MM} and B: {MF, FM, MM} →→ P (A ∩∩ B) = {MM}

Probability that both are males, if we know one is a female =P(A/B)=P(A∩B)/P(B)

(P(A∩B)P(B))

Given S = {MM, MF, FM, FF}, we can see that: P (A) = 1414; P (B) = 3434; P (A ∩∩ B) = 1414

Therefore,

P(B/A)=P(A∩B)/P(A) = (1/4)/(3/4)=1/3.

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