The.diagram.shows a window in the shape of a square. Each side of the square measures 8(square root sign) 5 centimeters, and the area of.the square is 32x square centimeter, what is the value of x? A.) 5 B.) 10 C.) 20 D.) 40

Answer:

A

Step-by-step explanation:

Cosine X= adjacent /hypotenuse

where adjacent=5 and hyp=13

Cos X=5/13

The parameters of the expression are given as

25w+55

A multiplicative factor in some terms of a polynomial, a series, or an expression is referred to as a coefficient. Although a coefficient is often a number, it may really be any expression. It is possible to refer to the coefficients themselves as parameters in situations when they themselves are variables.

A sign that may stand in for any other item in mathematics is known as a variable. To be more specific, a variable may stand in for a numeric value, a vector, a matrix, a function, the argument of a function, a set, or an individual component of a set.

Generally, the equation for expression is  mathematically given as

25w+55

Therefore

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Answer:

The scale of the drawing is 1 cm to 90 m. This means that every 1 cm on the drawing represents 90 m in real life. The length of the field is 450 m, so the length of the drawing will be 450 m / 90 m = 5 cm.

Therefore, the length of the dam drawing is 5 cm.

Step-by-step explanation:

Answer:

67.7

Step-by-step explanation:

Temperature at beginning of Father's Day = 65.8 degrees

Drop in temperature because of rain = 10.7 degrees

Rise in temperature after the rain the next day = 12.6 degrees

Therefore, temperature at the end of the day after the Father's Day

= Temperature at beginning of Father's Day minus Drop in temperature because of rain plus Rise in temperature after the rain the next day

= 65.8 - 10.7 + 12.6

= 67.7 degrees

NB: The answer was written as only 67.7 as requested by the questioner.

Answer: D - 5 1/4

Step-by-step explanation:

7/8 x 6 = 5.25

5.25 = 21/4

21/4 = 5 1/4

Answer:

D) 5 1/4

Step-by-step explanation:

\(\longrightarrow{\green{ D. \:3 {a}^{4} \sqrt{2a} }}\) 

\(\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}\)

\( \sqrt{18 {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times 3 \times 3 \times {a}^{9} } \\ \\ ➝ \: \sqrt{2 \times ({3})^{2} \times {( {a}^{4}) }^{2} a } \\ \\ [∵( { {a}^{4} )}^{2} a = {a}^{4 \times 2 + 1} = {a}^{9}] \\ \\ ➝ \: 3 \times {a}^{4} \sqrt{2a} \\ \\ ➝ \: 3 {a}^{4} \sqrt{2a} \)

\(\pink{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35}}}}}\)

Answer:

The answer is \(3a^{4}\sqrt{2a}\)

Step-by-step explanation:

To simplify the radical, start by factoring 9 out of 18 for step 1. Next, for step 2, rewrite 9 as \(3^{2}\). Then, factor out \(a^{8}\) for step 3. For step 4, rewrite \(a^{8}\) as \((a^{4})^{2}\). Then, for step 5, move the 2 in the radical. Rewrite \(3^{2}(a^{4})^{2}\)as \((3a^{4})^{2}\) for step 6. Then, add parentheses to the radical for step 7. Finally, for step 8 pull the terms out from under the radical, and the answer is \(3a^{4}\sqrt{2a}\).  

Step 1: \(\sqrt{9(2)a^{9} }\)

Step 2: \(\sqrt{3^{2}*2a^{9}\)

Step 3:  \(\sqrt{3^{2}*2(a^{8}a) }\)

Step 4: \(\sqrt{3^{2}*2((a^{4})^{2}) }\)

Step 5: \(\sqrt{3^{2}(a^{4})^{2}*2a }\)

Step 6: \(\sqrt{(3a^{4} )^{2}*2a }\)

Step 7:  \(\sqrt{(3a^{4})^{2}*(2a) }\)

Step 8: \(3a^{4}\sqrt{2a}\)

Answer:

1.36

2.4

3.-11

4.2

5.-20

Answer:

Limit does not exist.

Step-by-step explanation:

From the graph, notice that the limit does not exist, when you move to the right the limit tend to -3 and when you approach from the left your limit approaches 4, therefore since the right and left limit are not equal the limit does not exist.

Answer:  2x + h - 2

===============================================

Work Shown:

Part 1

\(f(x) = x^2 - 2x + 8\\\\f(x+h) = (x+h)^2 - 2(x+h) + 8\\\\f(x+h) = (x+h)(x+h) - 2(x+h) + 8\\\\f(x+h) = x(x+h)+h(x+h) - 2(x+h) + 8\\\\f(x+h) = x^2+xh+xh+h^2 - 2x-2h + 8\\\\f(x+h) = x^2+2xh+h^2 - 2x-2h + 8\\\\\)

Part 2

\(\frac{f(x+h)-f(x)}{h} = \frac{(x^2+2xh+h^2 - 2x-2h + 8) - (x^2-2x+8)}{h}\\\\\frac{f(x+h)-f(x)}{h} = \frac{x^2+2xh+h^2 - 2x-2h + 8 - x^2+2x-8}{h}\\\\\frac{f(x+h)-f(x)}{h} = \frac{2xh+h^2-2h}{h}\\\\\frac{f(x+h)-f(x)}{h} = \frac{h(2x+h-2)}{h}\\\\\frac{f(x+h)-f(x)}{h} =2x+h-2\\\\\)

-------------

In part 1, I replaced every x with x+h. Then I expanded things out using the distributive property. This is to figure out what f(x+h) is equal to.

In part 2, I then computed the difference quotient. Notice how basically all of the terms in the original f(x) cancel out. Leaving nothing but h terms behind. We factor out h to cancel it with the denominator.

Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

136

Step-by-step explanation:

Area of top and bottom added together:

(6) (7) + (6) (7)

42 + 42

84

Area of front and back added together:

(7) (2) + (7) (2)

14 + 14

28

Area of left and right added together:

(2) (6) + (2) (6)

12 + 12

24

Add all underlined numbers:

Area of top and bottom + Area of front and back + Area of left and right

84 + 28 + 24

136

Answer:

The total price before discount was £63.

The price of the watch before discount was £25.

Step-by-step explanation:

Let the total original price before discount be x.

The total of £53.55 included a 15% discount. That means he paid only 85% of the original total price before the discount.

85% of x = £53.55

0.85x = 53.55

x = 63

The total before discount was £63.

£63 - £38 = £25

The total price before discount was £63.

The price of the watch before discount was £25.

Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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a) To find the number of students getting more than 45 marks, we count the students whose marks are greater than 45 in the given list.

In the given list, the students with marks greater than 45 are: 50, 49, 47, 48, 49, 48, 47, 49, 48, 50, 47, 49, 48, 46, 47, 48, 47.

Counting these numbers, we find that there are 17 students who obtained more than 45 marks.

b) To find the number of students getting less than 45 marks, we count the students whose marks are less than 45 in the given list.

In the given list, the students with marks less than 45 are: 44, 44, 42, 41, 41, 42, 41, 44, 44, 42, 45, 45, 45, 44, 45.

Counting these numbers, we find that there are 15 students who obtained less than 45 marks.

c) To find the maximum number of students getting the same marks, we look for the mark that appears most frequently in the given list.

In the given list, the marks obtained by the students are: 44, 50, 44, 49, 42, 47, 45, 42, 44, 48, 49, 48, 47, 49, 47, 41, 45, 48, 41, 48, 41, 42, 47, 49, 49, 48, 50, 47, 49, 48, 46, 44, 45, 45, 46, 44, 42, 47, 48, 45.

Counting the frequency of each mark, we find that the marks 47 and 48 appear most frequently, with a count of 6 each. Therefore, the maximum number of students getting the same marks is 6.

d) To find the average marks obtained by the students in the class, we sum up all the marks and divide by the total number of students.

Total marks = 44 + 50 + 44 + 49 + 42 + 47 + 45 + 42 + 44 + 48 + 49 + 48 + 47 + 49 + 47 + 41 + 45 + 48 + 41 + 48 + 41 + 42 + 47 + 49 + 49 + 48 + 50 + 47 + 49 + 48 + 46 + 44 + 45 + 45 + 46 + 44 + 42 + 47 + 48 + 45

           = 1912

Total number of students = 40

Average marks = Total marks / Total number of students

                 = 1912 / 40

                 = 47.8

Therefore, the average marks obtained by the students in the class is 47.8.

e) To find the number of students getting more than the average marks, we count the students whose marks are greater than 47.8.

In the given list, the students with marks greater than 47.8 are: 50, 50, 49, 48, 49, 48, 49, 48, 50, 49, 49, 48, 48, 50, 49, 49, 48, 48, 47, 49, 49, 48, 50, 47,

49, 49, 48, 50, 47, 49, 49, 48, 48, 49, 48, 47, 48, 49, 49, 48, 50, 49.

Counting these numbers, we find that there are 40 students who obtained more than the average marks.

Answer:

flips the sign of the opposing coordinate (-3,-2)

Step-by-step explanation:

Answer:

Hope this helps! :')

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply

No. We cannot always use synthetic divison to divide polynomials.

Synthetic division can only be used to divide polynomials if the degree of the denominator is  equal to one.

Synthetic division is only used for a linear factor of the denominator.

When the degree of the denominator is greater than one, we can use long division.

So, we cannot always use synthetic division for dividing polynomials

Therefore, no. We cannot always use synthetic divison to divide polynomials.

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Answer:

i dont understand

Step-by-step explanation:

1 i

2 d

3 k

Answer: 36.2

Step-by-step explanation:

30^2+15^2=1314

square root of 1314 is equal to 36.249

rounded to nearest tenth: 36.2

Answer: 44

Step-by-step explanation: Since 11 members are equal to 25% of the club, 11 members is 1/4 of the club because 25% = 1/4. There are four-fourths in a whole so 11x4 = 44 members. The ski club has 44 members.

Answer:

  y = 0

Step-by-step explanation:

You want the horizontal asymptote of y=2x^2/3x^3.

Degree of numerator: 2

Degree of denominator: 3

When the degree of the denominator (3) is greater than the degree of the numerator (2), the horizontal asymptote is ...

  y = 0

__

Additional comment

This reduces to (2/3)(1/x). The value of 1/x approaches zero when the magnitude of x gets large.

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Answer:

It’s 17.39 but rounded 17.40

Step-by-step explanation:

13.5-11.5=2

2/11.5=.1739…

.1739*100= 17.39

Answer:

Step-by-step explanation:

You want the minimum number of pie slices and the amount of sugar in each such that the sugar in each slice is less than 22 grams when the whole pie has 187.64 grams of sugar.

The sugar in each of n slices is 1/n times the sugar in the whole pie. You want ...

  (187.64 g)/n < 22 g

Multiply by n/(22 g) to get

  n > 187.64/22

  n > 8.53

The smallest whole number that satisfies this inequality is n = 9.

The minimum number of pie slices is 9.

When the sugar in the pie is divided into 9 equal parts, each part is ...

  (187.64 g)/(9 slices) = 20.85 g/slice

Each slice of pumpkin pie will contain about 20.85 grams of sugar.

Answer:

Step-by-step explanation:

the answer is 9

4x+12 so I think the answer for the parenthesis would be 12

Answer:

2823908

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

The area if a parallelogram is given by the equation, Area = base * height

In this case, area = 200, and the actual height = 20

So, let's say the base is x

Plug these values in to the Area equation

200 = 20 * x

200 = 20x

Divide both sides by 20 to get x alone

200 / 20 = 20x / 20

10 = x

The base is 10

Answer:

C π/2

Step-by-step explanation:

Amplitude: 1

Period: π2

Phase Shift: None

Vertical Shift: None

Answer:

39

Step-by-step explanation:

10+18+14+16+3=61

100-61=39

For the transaction given, we shall apply a simple interest formula which is;

Note however that the time in this instance is not up to 1 year but a fraction of 1 year, that is;

Therefore, the interest shall be calculated as follows;

The amount to be repaid after 163 days would be the principal plus the interest and that would be;

ANSWER:

Amount to be repaid is $10,739.10