Select the correct answer. Solve the exponential equation for x. 625 = 5 ( 7 ⁢ x − 3 ) A. x = 2 B. x = - 2 C. x = 1 D. x = - 1

a = 14, b = 3.5

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

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After it has been dilated with a scale factor of 2  the side lengths of AX'Y'Z is: a = 14, b = 3.5

XZ = XY , then

2a + 3b = 11b ( subtract 3b from both sides )

2a = 8b ( divide both sides by 2 )

a = 4b

The perimeter is 91 , so

11b +2a + 3b + a = 91

14b + 3a = 91 ← substitute a = 4b

14b + 3(4b) = 91

14b + 12b = 91

26b = 91 ( divide both sides by 26 )

b = 3.5

and a = 4b = 4 × 3.5 = 14

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Answer:

Area = 28

Area of cutout = 1/2 * 2 * 4 = 4

Area of entire rectangle without cutout = 32

(Also 4 * 4 + 2 * 4 + 1 * 4 = 28)

Answer:

13.124 ft

Step-by-step explanation:

1 m = 3.281 ft

4 m = 4 × 3.281 ft = 13.124 ft

The required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

Arithmetic progression is the series of numbers that have common differences between adjacent values.

here,
The Sequences 8, 11, 14,...

first term a = 8
common difference = 11 - 8 = 3

Now,
The explicit formula is given as,
nth terms = a + (n - 1)d
nth term = 8 + (n - 1)3

Thus, the required explicit formula for the given sequence to determine the nth term is given as nth term = 8 + (n - 1)3.

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I have been working 1004 days at the job as a student

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

To solve this problem we must perform the following algebraic operations with the given information

Information about the problem:

Calculating the days from 08/21/2019 to 08/21/2022, we get:

Days 1 = (08/21/2022 - 08/21/2019) * (365 days/1 year)

Days 1 = 3 years * (365 days/1 year)

Days 1 = 1095 days

Calculating the days from 05/21/2019 to 08/21/2019, we get:

Days 2 = (08/21/2019 - 05/21/2019) * (30 days / 1 month)

Days 2 = 3 month * (30 days / 1 month)

Days 2 = 90 days

Calculating the days from 05/20/2019 to 05/21/2019, we get:

Days 3 = 05/21/2019 - 05/20/2019

Days 3 = 1 day

Calculating the total days from 08/21/2019 to 05/20/2022, we get:

Total days = Days 1 - days 2 - days 3

Total days = 1095 days - 90 days - 1 day

Total days = 1004 days

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The equation 6x + 7 = 2(3x + 5) + 9 has no solution.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Let's solve the equation for variable x.

A variable is a number represented with letter in an equation. Therefore,

6x + 7 = 2(3x + 5) + 9

6x + 7  = 6x + 10 + 9

6x + 7 = 6x + 19

6x - 6x = 19 - 7

0x = 12

Therefore, the equation cannot be solved.

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By using the area of the square formula, it can be concluded that the side of the square shed is 6 meters.

The area of a square or a rectangle can be defined as the number of square units needed to fill it.  

Area of a Square = side × side = side²

Area of a rectangle = width x length

Area of the square = area of the rectangle

Rectangle width = 3 meter

Rectangle length = 12 meter

To find the side of the square shed, we can do the following:

Area of the square = Area of the rectangle

                      side² = width x length

                               = 3 x 12

                               = 36

                       side = √36

                               = 6

Thus the side of the square shed is 6 meters.

Two storage sheds are to have the same area. One is square and one is rectangular. The rectangular shed is 3 meters wide and 12 meters long. How large is one side of the square shed in meters?

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A:Expression 3: 4(4x + 6) = 16x + 24 feet, B: No, he is incorrect

C: The perimeter of Carla’s room is 16x + 24, which is the same as Sam’s room.

An expression is a combination of numbers, symbols, and variables that represents a certain value otherwise set of values.

For example, 2x + 5 is an expression that represents any value that can be obtained by substituting any number for the variable x.

In this question

Part A:

The perimeter of Sam's bedroom can be expressed using the following equations:

1. P = 2(x+2) + 2(y+2)

2. P = 2x + 4 + 2y + 4

3. P = 2x + 2y + 8

Part B:

No, Sam is incorrect. The correct expression for the area of his bedroom is A = (x+2)(y+2). He is off by 8 square feet.

Part C:

The perimeter of Carla's room is 4x + 12, which is 4 more than the perimeter of Sam's room.

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Answer:

7/9=b/218

Step-by-step explanation:

The value of angle x is 45°. Thus, option B is correct.

A corner is an angle if it forms a projecting part or a partially enclosed space. An angle is a figure made up of two lines that extend from the same point. a measurement of an angle or the amount of turning required to align or make parallel two lines or planes.

step1:

o is center

JK is a tangent

so <OKJ =90°

<OKM=90°-30°=60°

OM=OK=><OMK=60°

step2:

because LO=LO, LM=LK, ON=OK

So Triangle OLM ≅ Triangle OLK => <LOM=<LOK

so <LOM=150° => <LMO =15°

so  60° +15° =30°+x°=>x= 45

so the answer is B. 45°

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The slope of the given equation is -3/2.

The equation of a line in the form 3x + 2y = 8 is not in the standard form of a linear equation, also known as slope-intercept form. In order to find the slope of the line, we need to express the equation in the form y = mx + b, where m is the slope of the line and b is the y-intercept.

To do this, we can start by isolating y on one side of the equation. We can subtract 8 from both sides, resulting in 3x + 2y -8 = 0.

Next, we can divide both sides by 2, which gives us (3/2)x + y - 4 = 0. This is the equation in the slope-intercept form.

The slope of the line is represented by the coefficient of x, which in this case is (-3/2). It tells us that for every 1 unit increase in x, the value of y will decrease by 3/2 units.

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The horizontal asymptote of the graph is the horizontal line y = b and the graph approaches a straight line as the input approaches ∞ or −∞.

Horizontal Asymptote: As x moves towards infinity or -infinity, the curve approaches a constant value b, called a horizontal asymptote with equal numerator and denominator. The following are used to determine the horizontal asymptotes:

For example, function f(x) = 2x / (x - 3) and we have to determine the horizontal asymptotes. As we see the degree of polynomials both in numerator and denominator is equal. So, horizontal asymptotes is equal to number which is obtained by dividing the hightest degree coefficients i.e., 2/1 = 2. Thus, the function has only one horizontal asymptote which is y = 2. Here is the graphical verification.

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The sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

What is the sample space?

The sample space is the set of all possible outcomes of a random experiment.

In this case, the experiment is ordering a sandwich from the shop, and the possible outcomes are the different combinations of sandwich type and bread type. Choice C represents all the possible outcomes of the experiment and it is the correct answer.

C) ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}

Hence, the sample space would be ((H, W), (H, M), (T, W), (T, M), (C, W), (C, M)}.

Option (C) is correct.

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Answer:

Answers in the attached photo.

Step-by-step explanation:

Steps are in the attached photo, do note this question is testing on the knowledge of Pythagoras' Theorem.

The highest power of this function is 5 , so the degree of this polynomial is 5 .

The degree of polynomial is  highest power of variable in a polynomial expression. The polynomial’s degree is the greatest power of a variable in a polynomial equation. The degree of polynomial indicates the highest exponential power in polynomial (the coefficients are ignored).

the polynomial function is ⇒  f(x) = 2x³ + 7x⁵ + 4x + 12 ;

we see that the second term  "7x⁵" has the greatest power  ,

So , we can conclude that the degree of the polynomial function is 5 .

The given question is incomplete , the complete question is

What is the degree of the polynomial function f(x) = 2x³ + 7x⁵ + 4x + 12 ?

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Answer:

1 1/2

Step-by-step explanation:

Answer:

The fractions which are equivalent to 1/2 are 2/4, 3/6, 4/8, 6/12 etc.

But there are more fractions that are equivalent to 1/2 such as 7/14, 8/16, 9/18, 10/20, 11/22, 12/24, 13/26, 14/28, 15/30, 16/32, 17/34, 18/36, 19/38, 20/40, 21/42, 22/44, 23/46, 24/48, 25/50, 26/52, 27/54, 28/56, 29/58, 30/60 and so on.

I might not get it but I tried :)

Answer:

so plot a 4 and the go up one over right one that way you have the linear equation graphed

The total amount Rita spend on the mall for 2 items is $77.12.

Given that,

The expression of amount spend on the first store = 13.06b + 29

The amount spend on the second store =  22

Total amount Rita spends=  13.06b + 29 + 22

= 13.06b + 51

Then to estimate the amount Rita spent if she had bought 2 items.

Now, we have the value of b = 2.

So by substituting,

= 13.06 x 2 + 51

= 77.12

Therefore the total amount Rita spend on the mall is $77.12.

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An example of a linear inequality:  5m > 7 + 3p

We know that the linear inequality in two variables represents the inequalities between two algebraic expressions with two variables .

It is an unequal relation between two algebraic expressions.

The symbols used between the expression: less than ‘<’,

greater than ‘>’,

less than or equal to ‘≤’

greater than equal to ‘≥’,

consider an example of a linear inequality:

3x < 2y + 5

5m > 7 + 3p

We can say that a linear inequality is like a linear equation (ax + by = c) but it has an inequality (like <, >, ≤, or ≥) instead of an =

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Yes, it is possible for a negative number to be an exponential function.

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The earthquakes with the greatest magnitude do not always cause the highest number of death because other factors like area ( ground, water , sand etc.), soil structure, buliding constutor material etc. also affect the earthquake intensity.

The biggest earthquakes are not necessarily the most devastating ones. But other factors are also involved here. In areas of water-saturated sand, shaking loosens the sand particles from each other, causing them to "float" on the water and turn into quicksand. Sand at rest is still and hard, but when shaken it forms liquid mud. Buildings and other structures built on such sand simply sink and collapse. Other types of soil structures and terrain can amplify and resonate seismic waves, potentially causing more damage. Of course, if an earthquake occurs at sea, it can create a devastating tsunami. Also, certain structures and buildings are less susceptible to vibration than others due to how they are constructed and the materials used. For example, a large magnitude 9.0 earthquake might cause minor damage due to its remote location. But if 6.0 occurs in an underdeveloped and densely populated area, it could kill thousands.

The more people there are, the more people die. For example, the 2001 earthquake in India occurred in a densely populated area.

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Multiply the number in the one's place. Multiply the number in the ten's place. And then add them up.

Multiply 2-Digit Numbers Without Regrouping:

Follow along with example 43 × 32:

Place one number above the other so that the ones' place digits and tens' place digits are lined up. Draw a line beneath the bottom number.

 4 3

×3 2

_______

Multiply the ones' place digits (2 × 3 = 6) and one's place of the second number by the ten's place of the first number (2 × 4 = 8). Place the 6 below the line in the ones' place column and 8 below the line in the tens' place column.

4 3

×3 2

_________

8 6

Multiply the digit in the tens' place column (3) by the digit in the ones' place of the first number (3). The result is 3 × 3 = 9 and Multiply the digit in the tens' place column (3) by the digit in the tens' place of the first number (4). The outcome is 3 × 4 = 12. Now add the numbers and place the answer below the line.

4 3

×3 2

__________

  8 6

12 9×

__________

13 76

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Answer:

cost of football = 7.49

cost of tennis = 2.25

Step-by-step explanation:

Answer:

B)  (-∞, 2)

Step-by-step explanation:

Given functions:

[tex]f(x)=x-3[/tex]

[tex]g(x)=-0.5x[/tex]

To find the interval for which (f - g)(x) is negative, set (f - g)(x) less than zero and solve for x:

[tex]\begin{aligned}(f-g)(x)& < 0\\f(x)-g(x)& < 0\\(x-3)-(-0.5x)& < 0\\x-3+0.5x& < 0\\1.5x-3& < 0\\1.5x& < 3\\x& < 2\end{aligned}[/tex]

Therefore, the interval for which the composite function (f - g)(x) is negative is:

Answer:

ff(x)=9x-48

Step-by-step explanation:

f(x)=3x-12

ff(x)=f(3x-12)

=3(3x-12)-12

= 9x-36-12

= 9x-48

1/6 of the whole garden is planted in cucumber.

What is cucumber ?

Cucumber is a type of vegetable that belongs to the cucurbit family, which also includes melons, squash and gourds. They are typically long, cylindrical in shape, and have a green skin that is typically eaten raw.

The proportion of the garden planted in cucumber is 1/3 of the vegetable part of the garden. To find out what proportion of the entire garden is planted in cucumber, we can use this proportion and multiply it by the proportion of the garden that is planted in vegetables.

Half of the garden is planted in vegetables, so the proportion of the garden planted in vegetables is 1/2.

1/3 of the vegetable part of the garden is planted in cucumber, so the proportion of the garden planted in cucumber is ,

(1/2) x (1/3) = 1/6

So, 1/6 of the whole garden is planted in cucumber.

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Half of the garden is planted in vegetables, so the proportion of the garden planted in vegetables is 1/2.

1/3 of the vegetable part of the garden is planted in cucumber, so the proportion of the garden planted in cucumber is ,

(1/2) x (1/3) = 1/6

1/6 of the whole garden is planted in cucumber

Answer:

T is the cost

Step-by-step explanation:

by looking at the question you can see the answer.

The ordered pair which describes the location of M''M" is (4, -4).

In Geometry, a reflection over the y-axis is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, a reflection over the y-axis would maintain the same y-coordinate while the sign of the x-coordinate changes from positive to negative or negative to positive.

By applying a reflection over the y-axis to the coordinates of the image coordinates include the following:

(x, y)                               →              (-x, y)

Coordinate M = (-4, 4)   →  Coordinate M' = (-(-4), 4) = (4, 4).

Next, we would apply a reflection over the x-axis to the above coordinates as follows:

(x, y)                               →              (x, -y)

Coordinate M' = (4, 4)   →  Coordinate M" = (4, -(4)) = (4, -4).

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