The coordinate grid shows four locations. each unit on the grid represents 1 city block. jerimiah walks twice around the rectangular path connecting the four locations

Answer:

50.24 yards=Circumference

Step-by-step explanation:

So first the formula to find circumfence is π*diameter

The diamtere is 16

π is told to be counted as 3.14

3.14*16=50.24

So the Circumfrnce is 50.24

Answer:

Step-by-step explanation: north-south and east-west lines are perpendicular

the area of the tile is 24 in^2

Answer:

Step-by-step explanation:

I think it's B

Answer:

1. Shape of line drawn by round ball is:  Rectangle

2. Length of path round ball creates is:  64 inches

Step-by-step explanation:

The perimeter of the box is 30+30+14+14 = 88 inches.

We find a rectangle path of the round ball to be interior rectangle shape and measures 64 inches.

The shape of the path is rectangle, this is because when the balls direction from horizontal to vertical is drawn from the central line to the ball - the ball still rotates but such central line stays stationary in a straight line at same distance from edge as it changes direction so therefore it stays perpendicular and creates a rectangle shape. Only an oval ball would draw a line of oval shape due to its central line curving against the perpendicular edge of the rectangle. The round ball cannot create a square shape as the sides of the rectangle when reduced by 6'' + 6'' either side of length 30 = 18 inches and is still longer than the shorter sides of the box being 14'' which becomes 14- 6=8 inches to each side.

2. To find the path length- we look for the difference in width of the central ball first which is 12'' divided by 2 = 12/2 = 6 = 6 inches. We can then deduct this from 14'' and from 30'' then multiply by 2.

Width of one side = 14-6 = 8

= 8 inches

Length of one side = 30-6 = 24

= 24 inches

We add together 8+24 = 32, and then multiply by 2

32 *2 = 64

Answer:

\( {a}^{3} = 209\)

If your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise.

If an argument has a faulty conclusion, either the premises are incorrect or the conclusion does not flow logically from the premises. This indicates that the reasoning is flawed.

An argument is deemed sound if all of its premises are true and it is valid (that is, the conclusion flows logically from the premises). Whether or not the conclusion is correct, the argument is flawed if any of the premises are untrue.

As a result, if your argument leads to a misleading conclusion, it is probably unsound. It is also conceivable that the argument is sound but has a wrong premise, in which case it is invalid.

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The slope of a plot of ln k versus 1/t equal to: −E_a/R

The Arrhenius equation is one that describes the relation between the rate of reaction and temperature for many physical and chemical reactions.

Arrhenius equation is expressed as:

k = \(Ae^{-E_{a}/RT }\)

Taking natural log on both sides,

ln k = ln \(Ae^{-E_{a}/RT }\)

In k = In A - E_a/RT

In k = In A - (E_a/R * (1/T))

This equation is in the form of y = mx + c

The plot of ln k vs 1/T gives a straight line with negative slope.

Slope = −E_a/R

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Answer: 1/6

Step-by-step explanation:

Answer: all real numbers less than or equal to 3

Step-by-step explanation: third option

letter c

Answer:

all real numbers less than or equal to 3

Step-by-step explanation: Took the test

Answer:

The slope is -2.

Step-by-step explanation:

m=y2-y1/x2-x1            (also, y1-y2/x1-x2 is also true.)

=23-15/6-10                  m=15-23/10-6

= 8/-4                            =-8/4

=4/-2                             =-4/2

= 2/-1                             =-2/1

m=-2                             m=-2

By using  Lagrange multipliers to maximize the product zyz subject to the restriction that z+y+22= 16 we get answer as  z = -3 and y = -3, satisfying the constraint.

To maximize the product zyz subject to the constraint z + y + 22 = 16 using Lagrange multipliers, we define the Lagrangian function:

L(z, y, λ) = zyz + λ(z + y + 22 – 16).

We introduce the Lagrange multiplier λ to incorporate the constraint into the optimization problem. To find the maximum, we need to find the critical points of the Lagrangian function by setting its partial derivatives equal to zero.

Taking the partial derivatives:

∂L/∂z = yz + yλ = 0,

∂L/∂y = z^2 + zλ = 0,

∂L/∂λ = z + y + 22 – 16 = 0.

Simplifying these equations, we have:

Yz + yλ = 0,

Z^2 + zλ = 0,

Z + y = -6.

From the first equation, we can solve for λ in terms of y and z:

Λ = -z/y.

Substituting this into the second equation, we get:

Z^2 – z(z/y) = 0,

Z(1 – z/y) = 0.

Since we are assuming a maximum exists, we consider the non-trivial solution where z ≠ 0. This leads to:

1 – z/y = 0,

Y = z.

Substituting this back into the constraint equation z + y + 22 = 16, we have:

Z + z + 22 = 16,

2z = -6,

Z = -3.

Therefore, the maximum value occurs when z = -3 and y = -3, satisfying the constraint. The maximum value of the product zyz is (-3) * (-3) * (-3) = -27.

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A unit rate's component is always 1. To find the unit rate, divide the fraction by the fraction such that the denominator is equal to one.

The meaning of math units:

Of mathematics, a unit can be thought of as the right side point in a number or the number one. In this instance, the unit number in the number 6713 is 3. A unit is also a term that may be used to describe the common measurement units.

The dimensions of a unit:

The area of a unit as depicted on the subdivision or annexation map that created the unit is referred to as its size. The lot, tract, or parcel size divided by the number of dwellings is the unit size for two-family and multiple-family homes on a single unit.

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Answer:

x= -4 or 4

Step-by-step explanation:

|x|= 9-5

|x|=4

x= -4 or 4

Since absolute values are always positive

Answer:

4

Step-by-step explanation:

x=9-5

x=4

In this case we we change the side when we changed the side then (negative is positive) and (positive is negative)

To find the level of production x that will maximize the profit, we need to determine the profit function and then find its maximum.

The profit function is given by P(x) = R(x) - C(x), where R(x) is the revenue function and C(x) is the cost function.

Given:

R(x) = 4600x

C(x) = 50,000 + 100x + x^3

Substituting these values into the profit function, we have:

P(x) = 4600x - (50,000 + 100x + x^3)

P(x) = 4600x - 50,000 - 100x - x^3

P(x) = -x^3 + 4500x - 50,000

To find the level of production x that maximizes the profit, we need to find the critical points of the profit function. We do this by finding where the derivative of the profit function is equal to zero.

Taking the derivative of P(x) with respect to x:

P'(x) = -3x^2 + 4500

Setting P'(x) = 0 and solving for x:

-3x^2 + 4500 = 0

x^2 = 1500

x = ±√1500

Since we are interested in the level of production, x, it must be a positive value. Therefore, x = √1500.

To find the maximum profit, we substitute this value of x into the profit function:

P(√1500) = - (√1500)^3 + 4500(√1500) - 50,000

Calculating this value will give us the maximum profit.

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Answer:

option c. 80 degree

Step-by-step explanation:

answer = 80 degree

Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are three additional topics in math that are part of the SAT Math section. These topics cover various concepts and skills that are essential for solving complex mathematical problems and analyzing data effectively.

Problem Solving and Data Analysis: This topic focuses on the ability to interpret and analyze real-world scenarios, solve problems using quantitative reasoning, and apply mathematical models to data. It includes concepts such as ratios, proportions, percentages, statistics, data interpretation, and data representation.

Heart of Algebra: This topic emphasizes algebraic concepts and skills, particularly those related to linear equations, linear inequalities, and systems of linear equations. It involves understanding and solving equations, manipulating algebraic expressions, graphing linear functions, and solving word problems using algebraic methods.

Passport to Advanced Mathematics: This topic builds upon the foundational algebraic skills and extends into more advanced mathematical concepts. It covers topics such as quadratic equations, exponential and logarithmic functions, radicals and rational exponents, polynomial operations, and complex numbers. It also involves solving higher-order equations, understanding function transformations, and applying algebraic concepts in various contexts.

These topics are important for SAT Math because they assess a student's ability to apply mathematical knowledge and problem-solving strategies to real-world situations. Familiarity with these topics enables students to analyze data, reason quantitatively, solve complex algebraic problems, and make connections between different mathematical concepts.

In conclusion, Problem Solving and Data Analysis, Heart of Algebra, and Passport to Advanced Mathematics are key topics in the SAT Math section. Mastering these topics is essential for achieving a high score on the SAT and for developing strong problem-solving and data analysis skills in mathematics.

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We can conclude after answering the provided question that As a result, linear equation the graph depicting the solution to the system of linear equations is the second option, which depicts the graph given below.

In algebra, a linear equation has the form y=mx+b. The slope is denoted by B, and the y-intercept is denoted by m. Because y and x are variables, the previous sentence is referred to as a "linear equation with two variables." Linear equations containing two variables are known as bivariate linear equations. Several linear equations exist, such 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. Y=mx+b, where m denotes the slope and b the y-intercept, is the formula for a linear equation. The equation y=mx+b, in where m stands for the slope and b for the y-intercept, is known as a linear equation.

By solving for y, the second equation, x + 3y = 6, can be rewritten in slope-intercept form:

3y = −x − 6

y = −(1/3)x − 2

We can join these points to obtain the line y = (1/3)x 2.

Now we can examine the graphs and see which one corresponds to the two lines we just graphed. Based on the graph descriptions, we can rule out the first and third options because neither of them contains the point (0, 2), which is on the line y = (1/3)x 2.

As a result, the graph depicting the solution to the system of linear equations is the second option, which depicts the two lines y =

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the complete question is

If a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

In forensic science, the angle of impact is the angle at which a blood droplet strikes a surface. It has a range of 0 to 90 degrees and is, by definition, an acute (or right) angle.

Police can partially reconstruct a crime scene by connecting the "strings" that lead from the spatter to an origin area and knowing the angle of contact.

If a bloodstain has a tail or pattern, the angle of impact can be used to forecast how the subsequent bloodstain would look.

So, bloodstain pattern analysis examines the patterns of bloodstains found at crime scenes in an effort to piece together the sequence of events that led to the bloodshed.

Mathematically, we will have:

The angle of impact = sin⁻¹ (wide stain/length stain)

The angle of impact = sin⁻¹ (1.5/3.0)

The angle of impact = 30°

Therefore, if a bloodstain is 1.5cm wide and 30cm long, then the angle of impact is 30°.

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Answer:

Similar and same shape

Step-by-step explanation:

B and a

The correct descriptions from the list below accurately describe the relationship between triangles ABC and DEF are,

B. Similar

D. Same Shape

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Now, We have;

In the given triangles:

∠A ≅ ∠D = 22°

∠B ≅ ∠E = 120°

∠C ≅ ∠F = 38°

Hence, By using the ''AAA axiom of geometry'', we get;

Triangle ABC and DEF are similar.

And, More over due to the similarity of angles the triangles also have same shape.

One more thing, that can be observed is that

DE = 2AB

EF = 2BC

DF = 2AC

Thus, The sides of triangle ABC are scaled with a factor of 2 which makes it similar to DEF.

Hence, Option B and Option D are correct .

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Answer:

I think it's D

Step-by-step explanation:

Supplementary means the angels add up to 180 degrees. So 95 + ? = 180. The ? is equal to 85, but how do you get it. Well we know 5x means to multiply a # by 5. So 17 x 5 = 85. So x = 17. Hope this helps!

Answer:

17

Step-by-step explanation:

5 x 17 = 85 right?

95 + 85 = 180.

The value is most likely to be the lowest number

We have that, the first quartile of the given sample of twenty numbers is 59.

To find the first quartile of the given sample of twenty numbers

52, 54, 58, 59, 59, 60, 60, 63, 65, 66, 67, 68, 69, 73, 74, 77, 78, 79, 79, 98

use the following formula: Formula to calculate the first quartile:

\($$\mathrm{Q_1} = \mathrm{\frac{n+1}{4}}$$\)

So, plugging the values into the formula,

\($$\mathrm{Q_1} = \frac{20+1}{4}$$$$\mathrm{Q_1} = \frac{21}{4}$$$$\mathrm{Q_1} = $5.25 $\)

Then round 5.25 to the nearest whole number. To do this, compare 0.25 to 0.5, if it is greater than or equal to 0.5, then round up. If it is less than 0.5, round down. Since 0.25 is less than 0.5, round 5.25 to the nearest whole number. Therefore, the first quartile of the given sample of twenty numbers is 59.

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Answer:

Water gives in affect like this to a pencil in water as well. Refraction makes the object seem distorted or further away than you would expect.

Step-by-step explanation:

A radical expression is an expression containing a square root. Radicand - A number or expression inside the radical symbol. ... Radical inequality an inequality containing a radical expression with the variable in the radicand.

Step-by-step explanation:

Hope this helps!

The value of the integral ∭W f(x, y, z) dV is -500π/3.

To evaluate the integral ∭W f(x, y, z) dV over the region W, which is the bottom half of a sphere of radius 5, we'll express it in spherical coordinates.

In spherical coordinates, we have:

x = ρ sin(φ) cos(θ)

y = ρ sin(φ) sin(θ)

z = ρ cos(φ)

The function f(x, y, z) = x² + y² + z² can be written as:

f(ρ, φ, θ) = ρ²

Now, let's determine the limits of integration.

(a) Limits of Integration:

Since W is the bottom half of a sphere of radius 5, we have the following limits:

A = B = C = 0 (lower limit for ρ)

D = 5 (upper limit for ρ)

E = 0 (lower limit for φ)

F = π (upper limit for φ)

0 ≤ θ ≤ 2π (full range for θ)

Therefore, the iterated integral becomes:

∭W f(ρ, φ, θ) dV = ∫₀⁵ ∫₀ᴨ ∫₀²π ρ² sin(φ) dθ dφ dρ

(b) Evaluating the Integral:

Let's compute the integral:

∫₀⁵ ∫₀ᴨ ∫₀²π ρ² sin(φ) dθ dφ dρ

∫₀⁵ ∫₀ᴨ [-cos(φ)ρ²]₀²π dρ dφ

∫₀⁵ ∫₀ᴨ 2πρ² cos(φ) dρ dφ

2π ∫₀⁵ [-ρ³/3]₀ᴨ dφ

2π ∫₀⁵ (-5³/3) dφ

2π (-5³/3) [φ]₀ᴨ

2π (-5³/3) (ᴨ - 0)

= 2π (-5³/3)ᴨ

= -500ᴨ/3

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Answer:

a

Step-by-step explanation:

it would be 0

Answer:

The correct answer would be 0 because there is no rate of change represente in the table.

Step-by-step explanation:

Hope this helps!

Have a good day! :)

The possible coordinates of point G on the number line is -15 and 7.

On the number line, point E has the coordinates of - 4, and EG = 11 .

The possible coordinates of point G are as follows:

A number line is a horizontal straight line with numbers placed at equal distances from each other along that line.

Negative numbers are on the left side while the positive numbers are on the right side.

Therefore, the possible coordinates of G is when we go left or right side of E on the number line.

Hence,

Let's go left E to G on the number line

Let's go right E to G on the number line

Therefore, the possible coordinates of point G on the number line is -15 and 7.

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Answer:

Step-by-step explanation:

two