Which value below is included in the solution set for the inequality statement?

-3(x - 4) > 6(x - 1)

A. -1
B. 2
C. 7
D. 3

Answer:

B

Step-by-step explanation:

You can see it would come out to be one with 44/4 so if you made it m/7 it would have to come out with a one so it would be 77.

The proportion 44/4=m/7 can be used to determine the value of m.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The  ratio of miles biked to hours biked is constant.

The given table is

Miles biked    11        44     m        132    165

Hours biked    1         4       7         12      h

We have to find the value of m.

m is the number of miles biked in 7 hr.

By using the proportion we can find m.

44/4=m/7

11=m/7

Apply cross multiplication

m=77

Hence, the proportion 44/4=m/7 can be used to determine the value of m.

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The slope formula is m= y2-y1/x2-x1.

m= 4-0/2-5

m=4/-3

Therefore, 4/-3 is the slope.

Answer:

The first option, incase something happens to the president, they’re next in line.

Step-by-step explanation:

Answer:

t = 3.46 hours, or 3 hours 28 minutes

Step-by-step explanation:

78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.

Donuts produced as a function of time:   D(t), where t is the number of hours the macine runs.

Set D(t) = 135 dozen = (39 dozen/hr)t.

Solving this equation for t, we get:

t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes

Answer:

The Pythagorean theorem

Step-by-step explanation:

If you have the length of each side of the triangle, you have to apply the theorem. If you get the true statement, you'll know for sure that you have a right triangle.

(27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression.  The correct is option (C).

The given expression is ((3C^(4)d^(4))/(2d^(9)))^(3).

We need to find the expression that is equivalent to the given expression. Here, we will use the properties of exponents to simplify the given expression, and then we will compare it with the expressions .

Let us simplify the given expression.

((3C^(4)d^(4))/(2d^(9)))^(3) = (3C^(4)d^(4)/2d^(9))^(3) = (3/2)(C^(4)d^(4-9))^(3) = (3/2)(C^(4)d^(-5))^(3) = (3/2)C^(4*3)d^(-5*3) = (3/2)C^(12)/d^(15)

Now, we need to compare this expression with the expressions given in the answer choices.

Option (A) (3d^(4))/(2c^(2)) cannot be the equivalent expression because it does not contain C and d terms with the same exponents.

Option (B) (81d^(6))/(8C^(6)) cannot be the equivalent expression because it contains the C term with a different exponent as compared to the given expression.

Option (C) (27d^(2))/(8c^(2)) contains the C term with the same exponent and the d term with a different exponent as compared to the given expression. Hence, this expression is equivalent to the given expression.

Hence, this expression is equivalent to the given expression .Therefore, the correct is option (C) (27d^(2))/(8c^(2)).

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Answer:

k = -4

Step-by-step explanation:

-4k + 2(5k − 6) = −3k – 48

Distribute on the left side.

-4k + 10k - 12 = -3k - 48

Combine like terms on the left side.

6k - 12 = -3k - 48

Add 3k to both sides.

9k - 12 = -48

Add 12 to both sides.

9k = -36

Divide both sides by 9.

k = -4

The transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

The rule that describes the transformation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

To understand this, let's apply the transformation rule to each vertex of the original parallelogram ABCD:

Point A (2, 5) becomes A' (-5, 2).

Point B (5, 4) becomes B' (-4, 5).

Point C (5, 2) becomes C' (-2, 5).

Point D (2, 3) becomes D' (-3, 2).

By applying the transformation rule, we observe that the x-coordinate of each point becomes the negative of the original y-coordinate, and the y-coordinate becomes the original x-coordinate.

This transformation is a 90-degree counterclockwise rotation about the origin (0, 0) on the coordinate plane. The image parallelogram A'B'C'D' is obtained by rotating the original parallelogram ABCD by 90 degrees counterclockwise.

Visually, this transformation can be seen as the original parallelogram being rotated around the origin, where the x-axis becomes the y-axis, and the y-axis becomes the negative x-axis.

Therefore, the transformation rule that describes the rotation from the original parallelogram ABCD to the image parallelogram A'B'C'D' is (x, y) → (–y, x).

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Answer:

see explanation

Step-by-step explanation:

Using the identities

sec x = \(\frac{1}{cosx} \)  ,  csc x = \(\frac{1}{sinx} \)

sin²x + cos²x = 1

Consider the left side

\(\frac{cos0}{sec0} \) + \(\frac{sin0}{csc0} \)

= \(\frac{cos0}{\frac{1}{cos0} } \) + \(\frac{sin0}{\frac{1}{sin0} } \)

= cos²Θ + sin²Θ

= 1 = right side , thus proven

Answer:

Step-by-step explanation:

Yes, the irrational number stays irrational.

Make the assumption that this statement is false and that a rational and an irrational can produce a rational. x is irrational. Assume that a, b, c, and d are all integers.  If you like, they can be relatively prime to each other.

a/b + x = c/d                   Subtract a/b from both sides.

x = c/d - a/b                    Now put the 2 fractions over a common denominator.

x = (c*b - d*a)/(b*d)         Investigate what you have.

b*d are two integers multiplied together. multiplication of integers is closed (the answer will be an integer).

cb and da are also integers. subtracted integers are also closed under subtraction.

But

Here's the kicker. An irrational number is one that cannot be expressed as a fraction. Sqrt(2) for example cannot be shown to be rational. There is no fraction that equals sqrt(2)

So our proof is "bogus." It cannot work. An irrational number excludes the possibility of being able to be represented by a fraction by definition.

The baseball field's fence, soil and sod requirements will be-: Length of fencing ≈ 1410.5 feet, Area of the sod ≈ 118017.13 ft², Area of of the field covered with dirt ≈ 7,049.6 ft²

To find the area of a sector of a circle:

The amount of fencing, dirt, and sod can be found using the formula for finding the circumference of a circle and the area of a circle as follows;

Circle's Area can be given by, (A)= π × r²

Circle's Circumference can be given by, (C) = 2 × π × r

Where, 'r' denotes the radius of the circle

The area of a quarter of a circle is therefore= A ÷ 4

The perimeter of a quarter of a circle = C ÷ 4

Taking reference from the image,

Fencing; (1/4) × 2 × π × 380 + 2 × 15 + 2 × 380 + (1/4) × 2 × π × 15

Fencing = 190·π + 790 + 7.5·π = 197.5·π + 790 ≈ 1410.5

The fencing ≈ 1410.5 feet

Grass; π/4 × (380 - 6)² + 87² - π/4 × (87 + 30)² + 2 × 380 × 15 + π/4 × 15² - (3/4) × π × 10² - 25·π = 31528·π + 18969 ≈ 118017.13

The area covered by the sod is about 118017.13 square feet

Dirt; π/4 × 380² - π/4 × (380 - 6)² + π/4 × (87 + 30)²- 87² + π·100 = (18613·π - 30276)/4 ≈ 7049.6

The area occupied by the dirt is about 7049.6 square feet

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Complete Question:Find the amount of fencing, dirt, and sod needed to rebuild the baseball field?(refer to image attached for dimensions of field)

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable(b).

In the analysis of variance procedure (ANOVA), "factor" refers to the independent variable. ANOVA is used to determine if there is a significant difference between the means of two or more groups, and the factor is the variable being studied that is believed to have an effect on the outcome. Variance is a measure of the variability or spread of the data, and ANOVA compares the variance between groups to the variance within groups to determine if there is a significant difference. The different levels of a treatment are also referred to as levels of the factor.

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Paper Company will make the following entry:

Debit: Notes Receivable - Dame Company $4,700

Credit: Accounts Receivable $4,700

What is an entry?

An "entry" in accounting refers to the recording of a financial transaction or event in the company's books or accounting system. It is the process of documenting the impact of a transaction on the financial statements.

1. Debit: Notes Receivable - Dame Company ($4,700) - This account represents the amount owed to Paper Company by Dame Company and is classified as a noncurrent asset since it will be settled in more than one year.

2. Credit: Accounts Receivable ($4,700) - This account represents the open accounts receivable from Dame Company, which is now being settled through the promissory note.

By making this entry, Paper Company acknowledges the receipt of the promissory note and removes the outstanding accounts receivable from their books, replacing it with a notes receivable asset.

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They are related as u^T transposes of each other. v and v^T u are scalar values that represent the dot product of u and v. uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

If u and v are vectors in R^n, then:

u^T v and v^T u are related as transposes of each other. Specifically, if

u = [u_1, u_2, ..., u_n]^T

and v = [v_1, v_2, ..., v_n]^T

then:

u^T v = v^T u

= u_1 * v_1 + u_2 * v_2 + ... + u_n * v_n

So, u^T v and v^T u are scalar values that represent the dot product of u and v.

uv^T and vu^T are related as transposes of each other. Specifically, if u = [u_1, u_2, ..., u_n]^T and v = [v_1, v_2, ..., v_n]^T

then:

uv^T = [u_1 * v_1, u_1 * v_2, ..., u_1 * v_n;

u_2 * v_1, u_2 * v_2, ..., u_2 * v_n;

...;

u_n * v_1, u_n * v_2, ..., u_n * v_n]

vu^T = [v_1 * u_1, v_2 * u_1, ..., v_n * u_1;

v_1 * u_2, v_2 * u_2, ..., v_n * u_2;

...;

v_1 * u_n, v_2 * u_n, ..., v_n * u_n]

So, uv^T and vu^T are matrices of size n x n that represent the outer product of u and v.

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Answer

d

Step-by-step explanation:

I already know and i did the test

Answer:

Dimensions of 1st rectangle,

length = 39 cm, width = 21 cm.

Dimensions of the 2nd rectangle,

length = 78 cm, width = 7 cm.

Step-by-step explanation:

Let the dimensions of the 1st rectangle be,

Length = x, width = y

so the dimensions of the 2nd rectangle becomes,

Length = 2x, width = y/3

perimeter of the first rectangle,

2(x+y)=120 --------- (i)

perimeter of the 2nd rectangle,

2(2x+y/3)=170 ---------(ii)

if we solve equation (i) and (ii), we'll get,

x = 39

y = 21

for the other rectangle, 2x = 78, y/3 = 7.

Answered by GAUTHMATH

We know that it took 18 hours to drive 666 miles. If we divide the distance by the hours (666 miles)/(18 hours)

We find that 666/18= 37 miles per hour . which means we travel 37 miles each hour.

So, we can estimate that driving 37 miles it will take 1 hour (the distance to Chicago).

Answer:

666/18=37miles/hour

it would take 1 hour to drive 37 miles

For the information in the table, a linear function rule is y = -2x + 3. Each function is assigned a domain and a codomain, or scope.

The study of mathematics covers numbers and their variations, equations and related structures, shapes and their locations, and locations where they can be found. The relationship between a group of inputs, each of which has a corresponding output, is referred to as a "function." A function is a relationship between inputs and outputs where each input produces a single, unique result. Each function is assigned a domain and a codomain, or scope. Typically, the symbol f is used to represent functions (x). input consists of an x. Based on the following criteria, there are four primary categories of functions that are available: on functions, one-to-one functions, many-to-one functions, within functions, and on functions.

given

we'll utilize the coordinates (0, 3), and (1, 1)

Access the slope

Slope = 1-3/1-0

Slope = -2

X = 0 is where the y-intercept is located, hence b = 3.

Find the needed equation:

Keep in mind that y = mx + b.

y = -2x + 3 .

For the information in the table, a linear function rule is y = -2x + 3.

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Answer:

126p

Step-by-step explanation:

56 divided by 4 = 14p per ounce

14 x 9 = 126p per 9 oz.

The table of values to show the effect of the transformation is

x f(x) g(x)

-2 4   -4

-1 1      -1

0 0     0

1 1       -1

2 4     -4

From the question, we have the following parameters that can be used in our computation:

f(x) = x²

Also, we have

g(x) is a reflection of f(x)across the x-axis

This means that

g(x) = -f(x)

So, we have

g(x) = -x²

Using the above as a guide, we have the following:

x f(x) g(x)

-2 4   -4

-1 1      -1

0 0     0

1 1       -1

2 4     -4

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The dimensions of the shape are 4 units, 13 units, 7 units, and 14 units.To determine the dimensions of the shape with a perimeter of 38 units, we need to find the values of x that satisfy the given sides.

1: Write down the given sides: x, 2x + 5, 6x - 17, and 3x + 2.

2: Add up the sides to obtain the perimeter: x + (2x + 5) + (6x - 17) + (3x + 2) = 38.

3: Simplify the equation: 12x - 10 = 38.

4: Add 10 to both sides: 12x = 48.

5: Divide both sides by 12: x = 4.

6: Substitute the value of x back into the given sides to find the dimensions:

Side 1: x = 4 units.

Side 2: 2x + 5 = 2(4) + 5 = 13 units.

Side 3: 6x - 17 = 6(4) - 17 = 7 units.

Side 4: 3x + 2 = 3(4) + 2 = 14 units.

Therefore, the dimensions of the shape are 4 units, 13 units, 7 units, and 14 units.

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Answer:

9.8, square root of 109 is 10.44, square root of 128 is 11.31

Answer:

D. 50

Step-by-step explanation:

plug 7 into the equation to get this

f(7) = 7^2 + 1

then solve

f(7) = 49 + 1

f(7) = 50

The angles surrounding the point p are 90 degrees

Then using the angle given, find the missing angles.

JPH = 90

HJP = 49

90+49 = 139

180 - 139 = 41

Therefore JHP = 41

HLP = HJP = 49

HLP = 49

KLP = 72

KLP + HLP = 72 + 49 = 121

Therefore, HLK = 121

LP = JP = 16

JP = 16

HL = HJ = 13

HL = 13

Hope this helps! =)

Rosario's average speed on her way home is 36.66 miles per hour.

Given that each week, Rosario drives to an ice-skating rink that is 60 miles away, and the round-trip takes 2.75 hours, to determine, if she averages 55 miles per hour on his way to the rink, what is her average speed to return to his house, the following calculation must be made:

Therefore, Rosario's average speed on her way home is 36.66 miles per hour.

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The average speed is the rate at which the total distance is traveled in the time taken.

The equation can be used to find x, the number of miles per hour he averages on his way home is,

\(\dfrac{60}{55} +\dfrac{60}{x} =2.75\)

What is average speed?

The average speed is the rate at which the total distance is traveled in the time taken. Rate of speed can be given as,

\(s=\dfrac{x}{t}\)

Here, \(x\) is the distance traveled by the object and \(t\) is time taken but the object to cover that distance.

Given information-

Rosario drives to an ice-skating rink each week that is 60 miles away.

The total time round-trip takes is 2.75 hours.

The average speed of drive is 55 miles per hour.

The number of miles per hour he averages on his way home is \(x\).

The average speed of drive is 55 miles per hour and the total distance is 60 miles. Let \(t_1\) is the time taken to travel in the way of his wink. Thus using the above formula,

\(55=\dfrac{60}{t_1} \\t_1=\dfrac{60}{55}\)

As Rosario drives to 60 miles from ice-skating rink to home with average speed of \(x\) miles per hour. Let \(t_2\) is the time taken by him to come back to the home. Thus,

\(t_2=\dfrac{60}{x}\)

As the total time taken by him is 2.75 hours. Thus the sum of both the time obtained is equal to the 2.75. Hence,

\(t_1+t_2=2.75\)

Put the values,

\(\dfrac{60}{55} +\dfrac{60}{x} =2.75\)

This is the required equation. Solving further,

\(\dfrac{60}{55} +\dfrac{60}{x} =2.75\\\dfrac{60x+3300}{55x} =2.75\\{60x+3300}=151.25x\\151.25x-60x=3300\\91.25x=3300\\x=36.164\)

Hence the value of the \(x\) is 36.164.

Thus the equation can be used to find x, the number of miles per hour he averages on his way home is,

\(\dfrac{60}{55} +\dfrac{60}{x} =2.75\)

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Answer:

oh srry ur not a scam

Step-by-step explanation:

Answer:

#1: (Problem 3² × 3³, Answer: 243) (Problem 3⁵, Answer: 243), yes the answer matches

#2: (Problem 2³ × 2⁴, Answer: 128) (Problem 2¹², Answer: 4096), No, the answer doesn't match.

#3: (Problem (-2)⁴ × (-2)², Answer: 64) (Problem (-2)⁸, Answer: 256), No the answer doesn't match.

#4: (Problem (-3)² × (-3)⁵, Answer: -2187) (Problem (-3)⁷, Answer: -2187), yes the answer matches

The pattern is: When 2 whole numbers raised to a power are multiplied together, the base stays the same and the exponent add up

Hope this helps!

Answer: 0.875 h or for a fraction 8 3/4

Step-by-step explanation:

June spent 15 minutes practicing her piano, 30 minutes cleaning her room and 7.5 minutes putting away her dirty laundry so a total of 52.5 minutes

Answer:

8 3/4

Step-by-step explanation: IK IM SORRY im sooo confusing!! And it makes me frustrated too...

The mean and standard deviation of the vehicle speed are 58.33 and 11.64 respectively.

The vehicle speed on a particular bridge in china has normal distribution.

5% represents the 5th percentile which is here, 39.18 m/h.

Since 10% travels more than 73.27 m/h, 90% travels less than 73.27 m/h.

So here the 90th percentile is 73.27 m/h.

Also the z-score, z = (x-μ)/σ, where μ is the mean of normal distribution and σ, the standard deviation.

So 39.18 corresponds to the z with p-value 0.05, i.e., z = -1.645 [from the normal tables]

Hence, z = (x-μ)/σ

⇒ -1.645 = (39.18 - μ)/σ

⇒ -1.645σ = 39.18 - μ

⇒ μ = 39.18 + 1.645σ  ----------(1)

Also 73.27 corresponds  to the z with p-value 0.9,i.e., z = 1.28.

Hence , z = (x-μ)/σ

⇒ 1.28 = (73.27 - μ)/σ

⇒ 1.28σ = 73.27 - μ

⇒ μ = 73.27 - 1.28σ  ----------(2)

Equating (1) and (2), we get,

39.18 + 1.645σ  =  73.27 - 1.28σ

2.925σ = 34.05

σ = 11.64

hence μ = 39.18 +1.645 x 11.64

⇒ μ = 58.33

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The area of the triangle is 43.81 square units

The side a = 8 units

The side b = 11 units

The perimeter of the triangle = 32 units

First we have to find the third side of the triangle

a + b + c = 32

Substitute the values in the equation

8 + 11  + c = 32

19 + c = 32

c = 32 - 19

c = 13 units

Then the area of the triangle = \(\sqrt{s(s-a)(s-b)(s-c)}\)

The value of s = (a + b + c) / 2

= (8 + 11 + 13) / 2

= 32/2

= 16

Substitute the values in the equation

The area of the triangle = \(\sqrt{16(16-8)(16-11)(16-13)}\)

Subtract the terms

= \(\sqrt{(16)(8)(5)(3)}\)

= \(\sqrt{1920}\)

= 43.81 square units

Hence, the area of the triangle is 43.81 square units

The complete question is:

Find the area of a triangle , two sides of which are 8 cm and 11 cm and the perimeter is 32 cm.

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