9-4(5-x)=3(x-1)-2
what kind of math is this like the name

Answer:

the first one, v < 1 23/25

Step-by-step explanation:

multiply both sides by 6 and divide by 5

v < 48/25, or v < 1 23/25

Answer:

v < 1 23/25

Step-by-step explanation:

5/6 v < 8/5

Multiply each side by 6/5

6/5*5/6 v < 8/5*6/5

v < 48/25

Rewrite as a mixed number

v < 1 23/25

False. Generally, an expression does not contain an equality symbol.  Numbers and/or variables (letters) and operation symbol(s), for example, “x + 10”

Answer:

i) x=-1 or x=2

Step-by-step explanation:

X²-x-2=0

(x-2)(x+1)=0

X=2 or x=-1

To determine the area of each individual polygon, the following formulas are used:

1. Square: \(A = s^2\)

2. Rectangle: \(A = l * w\)

3. Triangle: \(A = (1/2) * b * h\)

4. Circle: \(A = \pi * r^2 (or) A = (\pi /4) * d^2.\)

A polygon is a geometric figure with two dimensions that are created by joining straight line segments together to produce a closed shape. It has at least three sides and angles.

The Parque del Pueblo de Amalei is composed of several known polygons. To calculate the area in square meters, we need to identify and calculate the areas of each polygon separately, and then sum them up. First, let's assume the park is divided into three polygons: a square, a rectangle, and a triangle.

1. Square

Measure the length of one side of the square (let's say it's 10 meters). The area of a square is calculated by squaring the length of one side, so the area of this square is \(10(10) = 100\) square meters.

2. Rectangle:

Measure the length and width of the rectangle (let's say it's 12 meters long and 8 meters wide).

To find the area of a rectangle, multiply its length by its width, so the area of this rectangle is \(12(8)= 96\) square meters.

3. Triangle

Measure the base and height of the triangle (let's say the base is 6 meters and the height is 4 meters).

The area of a triangle is calculated by multiplying the base by the height and then dividing by 2, so the area of this triangle is\(\frac{(6)(4)}{2}= 12\) square meters.

Finally, sum up the areas of all the polygons: 100 + 96 + 12 = 208 square meters.

Therefore, the area of the Parque del Pueblo de Amalei is 208 square meters.

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Based on the given information, the estimate for the number of cells in a T75 flask can be calculated by comparing the number of cells in the picture to the field of view area and then scaling it up to the size of the T75 flask.

Given that there are 55 cells in the picture, we can use this information to estimate the density of cells in the field of view. The field of view has dimensions of 1.85 mm x 1.23 mm, which gives an area of 2.7095 square millimeters (\(mm^2\)). To calculate the cell density, we divide the number of cells (55) by the area (2.7095 \(mm^2\)), resulting in an approximate cell density of 20.3 cells per \(mm^2\).

Now, to estimate the number of cells in a T75 flask, we need to know the size of the flask's growth area. A T75 flask typically has a growth area of about 75 \(cm^2\). To convert this to \(mm^2\), we multiply by 100 to get 7500 \(mm^2\).

To estimate the number of cells in the T75 flask, we multiply the cell density (20.3 cells/\(mm^2\)) by the growth area of the flask (7500 \(mm^2\)). This calculation gives us an approximate estimate of 152,250 cells in the T75 flask. It's important to note that this is just an estimate, and actual cell counts may vary depending on various factors such as cell size, confluency, and experimental conditions.

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26 square feet is the exact surface area of the composed figure with two cones.

The composed figure has two cones.

The formula to find the surface area of cone is A=πr(r+√h²+r²))

Where r is radius and h is height of the cone.

Both the cones have radius of 1 ft and height of 2ft and 4 ft.

Area of cone 1=3.14×1(1+√4+1)

=3.14(1+√5)

=10.16 square fee

Area of cone 2=3.14×1(1+√16+1)

=3.14(1+√17)

=16.01square feet.

Total surface area = 10.16+16.01

=26.17 square feet.

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Therefore, the cost of 3 pencils is approximately $1.80.

To find the cost of 3 pencils, we can set up a proportion based on the given information:

7 pencils cost $4.20

Let's assign the cost of 3 pencils as x dollars.

The proportion can be set up as: 7 pencils / $4.20 = 3 pencils / x

To solve for x, we can cross-multiply: 7 * x = 3 * $4.20

7x = $12.60

Dividing both sides of the equation by 7:

x = $12.60 / 7

x ≈ $1.80

Therefore, the cost of 3 pencils is approximately $1.80.

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The calculated values of a and b are a = 1 and b = 42

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

f(x) = ax³ - x² - 5x + b

When f(x) is divided by (x − 2), the remainder is 36

So we have

a(2)³ - (2)² - 5(2) + b = 36

8a + b = 50

When f(x) is divided by (x + 2), the remainder is 40

So we have

-8a + b = 34

Add the equations

So, we have

2b = 84

Divide

b = 42

Next, we have

8a + b = 50

8a + 42 = 50

8a = 8

a = 1

Hence, the values are a = 1 and b = 42

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Answer:

Since it's increasing add 3.5% to 100%

= 103.5% of £16470.45

= 103.5/100 × 16470.45

= 17046.92

= £17046.92

Hope this helps.

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:

Step 1: Arrange the data in ascending order:

68, 69, 73, 78, 88, 90, 94

Step 2: Find the five-number summary:

Minimum: The smallest value in the dataset, which is 68.

First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.

Median (Q2): The middle value of the dataset. In this case, it's 78.

Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.

Maximum: The largest value in the dataset, which is 94.

Step 3: Create the box and whisker plot:

Draw a number line with a range from the minimum (68) to the maximum (94).

Mark the first quartile (Q1) at 69.

Mark the median (Q2) at 78.

Mark the third quartile (Q3) at 90.

Draw a box from Q1 to Q3.

Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).

The resulting box and whisker plot for the given dataset would look like this:

  |

 94|                 ▄

  |                ╱ ╲

 90|              ╱   ╲

  |             ╱     ╲

 88|            ▇       ▂

  |            ▇       ▂

 78|            ▇       ▂

  |            ▇       ▂

 73|          ╱         ╲

  |         ╱           ╲

 69|        ▃             ▃

  |       ╱               ╲

 68|      ╱                 ╲

  |_________________________________

    68     73     78     88     94

This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).

The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.

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Answer:

6:5

Step-by-step explanation:

divide both numbers by using gcd/ greatest common divisor

= 12:10/ 2

=6:5

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Answer:

I put the equation on math-way and it gave me this:

Answer:

Starting at (0, 1), go up 4 units, then right 3 units. You will end at (3, 5). Plot that point, and then draw a line that goes through the two points.

The given polynomial is: x + 9x + 14,  the correct option is

OA = (x + 7)(x + 2)

OB = (2x + 7)(x + 2)

the polynomial is not prime.

We have to factor the given polynomial completely.To factor the given polynomial completely, first we need to add 1 and 14 that are factors of 14 and whose sum is 9.

x + 9x + 14

= (x + 7)(x + 2)

Hence, the given polynomial completely factored as

(x + 7)(x + 2)

Therefore,

OA

= (x + 7)(x + 2)

OB

= (2x + 7)(x + 2)

Therefore, the correct option is

OA

= (x + 7)(x + 2)

OB

= (2x + 7)(x + 2)

the polynomial is not prime.

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Answer:

It's 25

Step-by-step explanation:

ooposite angle of 40 is the one between 2x and the 90 degree angle.

if that is 40 and another angle is 90, then

2x + 40 + 90 = 180

2x = 180 - 130

2x = 50

50/2 = x

x = 25

Answer:

She worked four hours and earned 36 dollars

Step-by-step explanation:

Answer:

it shows that when she works for 4 hours, she earns 36 dollars!!

Step-by-step explanation:

Answer:

y=2/3x-2

Step-by-step explanation:

The most typical or average value among a group of numbers is called the mean. It is a statistical measure of a probability distribution's central tendency along the median and mode. It also goes by the name "anticipated value."

Steel rods are produced by a firm. The lengths of the steel rods have a mean of 140.9 cm and a standard deviation of 1 cm, and they are regularly distributed. 22 steel rods are packaged together for shipping. determine the likelihood that the average length of a bundle of steel rods chosen at random is less than 140.7 cm.

mean is N (M) (109,1.6)

Looking for P(M 108.7) to P(z ???) conversion utilizing N(0,1) z-statistic transformation

P(z [M - population mean]/[SD/square root(sample size)]) = P(z [108.7-109)/[1.6/sqrt(27)] = P(z -0.974] = 0.165.

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\(23 - x < 23 + 161x \\ - x - 161x < 23 - 23 \\ - 162x < 0 \\ \frac{ - 162x}{ - 162} < \frac{0}{ - 162} \\ x > 0\)

without given any restriction x is all the numbers greater than 0.

NOTE THAT THE SIGNS >< CHANGE DIRECTION WHEN YOU MULTIPLY OR DIVIDE BY A NEGATIVE NUMBER.

Answer:

34

Step-by-step explanation:

-2(x - 14) = -40  Distribute the -2

-2x + 28 = -40   Subtract 28 from both sides

-2x = -68  Divide both sides by -2

x = 34

Check:

34- 14 = 20

-2(20) = -40

Answer:

Please refer the below attachments.

Hope it helps

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Answer:

21,7 - yes

28,3 - no

17,3 - no

20,4 - yes

55,5 - yes

15,5 - yes

26,4 - no

32,8 - yes

48,7 no

60,2 - yes

79,4 - no

81,3 - yes

Step-by-step explanation:

hope that helps

The number pairs where the first number is a multiple of the second number are:

21, 7

20, 4

55, 5

15, 5

32, 8

60, 2

81, 3

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

The first number which is a multiple of the second number.

21 and 7
7 x 3 = 21

28 and 3

3 x 9 = 27

17 and 3

3 x 5 = 15

20 and 4

4 x 5 = 20

55 and 5

5 x 11 = 55

15 and 5

5  x 3 = 15

26 and 4

4 x 6 = 24

32 and 8

8 x 4 = 32

48 and 7

7 x 7 = 49

60 and 2

2 x 30 = 60

79 and 4

4 x 19 = 76

81 and 3

3 x 27 = 81

Thus,

The number pairs are:

21, 7

20, 4

55, 5

15, 5

32, 8

60, 2

81, 3

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Answer:   \(\large \boldsymbol{\dfrac{1}{8 } (x^2-3)^4+c}\)

Step-by-step explanation:

\(\displaystyle \large \boldsymbol{} \int\limits {x(x^2-3)^2 } \, dx =\int\limits \frac{1}{2} {} \, (x^2-3)' (x^2-3)^3 dx =\frac{1}{8} (x^2-3)^4+c\)

There are 18816 ways to place five indistinguishable rooks on an 8x8 chessboard such that no rook can attack another, and neither the first row nor the first column is empty.

Since the first row and the first column cannot be empty, we need to choose one cell in each of these rows and columns to place the rooks.

Let's break down the problem into steps:

Choose a cell in the first row to place the first rook: There are 8 options.

Choose a cell in the first column to place the second rook: There are 8 options.

Choose a cell in the remaining 7 rows to place the third rook: There are 7 options.

Choose a cell in the remaining 7 columns to place the fourth rook: There are 7 options.

Choose a cell in the remaining 6 rows to place the fifth rook: There are 6 options.

To find the total number of ways, we multiply the number of options for each step:

Total number of ways = 8 × 8 × 7 × 7 × 6 = 18816.

Therefore, there are 18816 ways to place five indistinguishable rooks on an 8x8 chessboard such that no rook can attack another, and neither the first row nor the first column is empty.

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Answer:

The circumference is 50.24 in

Step-by-step explanation:

The circumference formula is C = 2πr where C = Circumference, π = pi and r = radius. We know that r = 8 and π = 3.14 and that we're solving for C, so we can substitute those values into the equation to get C = 2 * 3.14 * 8 = 50.24 in.

My answer is too short

The answer is $5.99

The sale price on a pair of jeans is 23.96 dollar.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that shop advertises pair of jeans that was originally priced at $29.95 if tHe discount waS 20%

Here 20  percent is equivalent to 1/5

So,X=(20× 29.95)÷100

x = 5.99

the sale price is

29.95 - 5.99

 = 23.96 dollar.

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Answer:

There are twelve combinations, two sides of one coin to one side of a dice

Step-by-step explanation:

meaning the dice face each have at least two sides of a coin so 6 times 2 is twelve