write the recurring decimal 0.4 as a fraction in its simplest form.

Answer:

a) [tex]2^{4}[/tex]

b) [tex]5^{3}[/tex] x [tex]7^{2}[/tex]

Step-by-step explanation:

You can group together like base values, so 3 x 3 x 3 x 3 x 3 becomes 3 to the power of 5. All it means is that you are multiplying the base value (in this case 3) by itself 5 times.

Index notation makes it easier in more complex equations to solve, as its simpler and doesn't take up as much space.

Hope this helped : )

Step-by-step explanation:

x2+6x+9-9+y2-4y+4-4=23

(x+3)2-9+(y-2)2-4=23

(x+3)2+(y-2)2=36

center:(-3,2)

r:6

The required value of the x is 20° for the two intersecting lines.

A figure has shown the intersecting line TW and VS. And opposite angles are given x+40 and 3x. The value of the x is to determine in a manner to find the respective angle.

The angle can be defined as the one line inclined over another line.

alternate angles of two intersecting lines is equal.
x +40 = 3x
3x - x = 40
2x = 40
x = 40/2
x = 20°
required angle x and x+40
x = 20
x + 40 = 20+40
= 60°

Thus, the required value of the x is 20°.

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Answer:

y+1/2= 3(x - 2)

Step-by-step explanation:

The slope can be seen to be 3 by factoring out each of the right sides.  Only a and c have a slope of 3.  Next if the point (2,-1/2) is plugged into the equation of c then you get an answer of 0=0.  Beacuse both sides are equal when the point desired is plugged in it is the correct answer.

Answer: C

Step-by-step explanation:

I took the test

Answer:

A = 20 square units ; Type in 20

Step-by-step explanation:

The simplest way to derive the area of this figure, is to first consider what the shape is itself;

[tex]Criteria of Shape - 2 Bases, 1 pair of Parallel Sides, Composed of two triangles, one square -From this we See that - Shape ; Trapezoid ( neither Right nor Isoceles )[/tex]

Knowing that the shape is a Trapezoid, consider the formula ( Average of Bases ) * Height as to solve for it's area;

[tex]Length Of Base 1 - 3 units,\\Length of Base 2 - 7 units,\\Length of Altitude - 4 units,\\[/tex]

Now let us substitute these values, solving for the Area;

[tex]Area Of Trapezoid - ( ( Base 1 + Base 2 ) / 2 ) * Height,\\ ( ( Base 1 + Base 2 ) / 2 ) * Height = ( ( 3 + 7 ) / 2 ) * 4,\\( 10 ) / 2 * 4 = 5 * 4 = 20 square units,\\\\Conclusion ; Area of Trapezoid = 20 square units[/tex]

Solution; A = 20 square units

Answer:

A=20 (square units)

Step-by-step explanation:

B=XW=8-1=7

b=YZ=5-2=3

h=5-1=4

A=(B+b)*h/2

A=(7+3)*4/2=10*2

A=20 square units

Answer:

x =348 ^ (1/7)

Step-by-step explanation:

x^7-116=232

Add 116 to each side

x^7-116+116=232+116

x^7 =348

Take the 7th root each side

x^7 ^ 1/7 = 348 ^ (1/7)

x =348 ^ (1/7)

Answer: 47/6

Step-by-step explanation:

-2 1/3 - (-10 1/6)

= -7/3 + 10 1/6

= -7/3 + 61/6

= 47/6

Step-by-step explanation:

[tex] - \frac{6 + 1}{3} - ( \frac{10 \times 6 + 1}{6} ) \\ - \frac{7}{3} - ( \frac{10 \times 6 + 1}{ 6} \\ - \frac{7}{3} - ( - \frac{61}{6} ) \\ - \frac{7}{ 3} + \frac{61}{6} \\ - \frac{14}{6} + \frac{61}{ 6} = 7.8333333[/tex]

the answer is recurring

Answer:

One adult ticket is $4 and one child ticket is $7

Step-by-step explanation:

Make a system of equations

2x + 10y = 78

8x + 5y = 67

Solve by elimination, multiply the 2nd equation by -2

2x +10y = 78

-16x -10y = -134

Add the equations

-14x = -56

x = 4

The price of one adult ticket is $4

Plug 4 in as x to find y

2(4) + 10y = 78

8 + 10y = 78

10y = 70

y = 7

The price of one child ticket is $7

Answer:

Part A- (B) Divide 9 by 3

Part B- (C) Multiply 3 by 7

Part C- Tyson is wrong, because we found that the value of the expression was 27. Tyson must have solved the expression the way it was written from left to right and did not follow order of operations (PEMDAS).

*The value of this expression= 27.*

Step-by-step explanation:

Beware, we do NOT solve in the order the number sentence is given. By PEMDAS- first we solve Parenthesis  (if any) , next we solve Exponents (if any), then we solve the Multiplication or Division based on whichever is first from the left, finally we solve Addition or Subtraction based on whichever appears first from the left, we solve first. So, following PEMDAS, there are no Parenthesis nor Exponents in your number sentence- the next step would be Multiplication or Division. So, which operation comes first from the left in your expression, between Multiplication or Division? Division, so we solve that, 9/3, which is 3. We rewrite the expression with the new answer- 6+ 3 x 7. Ok, so are there any more Division or Multiplication to solve so that we can move to the next step? Yes. 3 x 7, which is 21. We rewrite the expression again, 6+21, and the final answer is .....27. Therefore, going back in the process, remember the first operation we did and that is? DIVISION. Also, that means Tyson is wrong, because we found that the value was 27. Tyson must have solved the expression the way it was written from left to right and did not follow order of operations (PEMDAS).

I hope this covered all the aspects of the question and helped you understand !! Please leave a comment or rating! Thanks :)

Answer:

part A : A

part B :B

part C :No,

27

Step-by-step explanation:

BODMAS

6+9/3*7

according to the order of operations,

division comes before multiplication and addition

so we first divide 9 by 3 then multiply the answer by 7 and finally add the result to 6

Therefore the answer is 27

Answer:

The answer is D

Step-by-step explanation:

These two matrices cannot be added. To be eligible to add two matrices together, they must have the same dimensions. In this case, they have two different dimensions so the answer is D.

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Answer:

32 cm^3

Step-by-step explanation:

The cube is 4 across by 4 high by 2 wide

4*4*2 = 32 cm^3

Answer:

[tex]32cm^3[/tex]

Step-by-step explanation:

[tex]V=whl=2*4*4=32cm^3[/tex]

Answer:

Step-by-step explanation:

[tex]\dfrac{4}{7}\left(\dfrac{21}{8}x+\dfrac{1}{2}\right)=-2\left(\dfrac{1}{7}-\dfrac{5}{28}x\right)\\\\\text{use the distributive property}\ a(b\pm c)=ab\pm ac\\\\\left(\dfrac{4}{7}\right)\left(\dfrac{21}{8}x\right)+\left(\dfrac{4}{7}\right)\left(\dfrac{1}{2}\right)=(-2)\left(\dfrac{1}{7}\right)-(-2)\left(\dfrac{5}{28}x\right)\\\\\dfrac{4\cdot21}{7\cdot8}x+\dfrac{4\cdot1}{7\cdot2}=-\dfrac{2}{7}+\dfrac{2\cdot5}{28}x\qquad\text{simplify}[/tex]

[tex]\dfrac{3}{2}x+\dfrac{2}{7}=-\dfrac{2}{7}+\dfrac{5}{14}x\qquad\text{multiply both sides by 14}\\\\(14)\left(\dfrac{3}{2}x\right)+(14)\left(\dfrac{2}{7}\right)=(14)\left(-\dfrac{2}{7}\right)+(14)\left(\dfrac{5}{14}x\right)\qquad\text{simplify}\\\\(7)(3x)+(2)(2)=(2)(-2)+(1)(5x)\\\\21x+4=-4+5x\qquad\text{subtract 4 from both sides}\\\\21x+4-4=-4-4+5x\\\\21x=-8+5x\qquad\text{subtract}\ 5x\ \text{from both sides}\\\\21x-5x=-8+5x-5x\\\\16x=-8\qquad\text{divide both sides by 16}[/tex]

[tex]\dfrac{16x}{16}=\dfrac{-8}{16}\qquad\text{simplify}\\\\\boxed{x=-\dfrac{1}{2}\to x=-0.5}[/tex]

Answer:

X = -0.5

Step-by-step explanation:

Edge 2020

Answer:

The reaction is exothermic

Step-by-step explanation:

An exothermic reaction is a reaction in which heat is liberated or released to the surrounding. In this kind of reaction ( i.e exothermic), the change in enthalpy, ΔH, is negative and less than zero.

Since student got an enthalpy change, ΔH that is negative ( ΔH = - 13 kcal), the reaction is an exothermic reaction.

Answer:

Monthly cost of cell phone for 0 minutes is $19.95 and for 40 minutes of talk is $21.95. It means that average rate of change ( increase of monthly cost for each minute of talk time ) is: ARC = ( 21.95 - 19.95 ) / ( 40 - 0 ) = 2.00 / 40 = $0.05. Answer: C ) The average rate of change is $0.05, meaning that for each minute of talk time, the monthly bill increases by $0.05.

Answer:

The linear equation is;

Y = 450 - 2·X

Please find the included graph

Step-by-step explanation:

Whereby we have the following relation;

The cost of 1 pizza = X

The cost of 1 burger = Y

Hence;

450 = Y + 2·X

Which gives;

Y = 450 - 2·X

The linear equation for the situation is therefore as presented above

The graph of the linear equation can be plotted using the assumed data as follows;

Y,           X

1,           448

2,          446

3,         444

4,          442

5,          440

6,          438

7,          436

8,          434

9,          432

10,          430

11,          428

12,          426

13,          424

14,          422

15,          420

16,            418

The linear equation for this situation is 2x + y = 450.

A linear equation is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

Let x represent the cost of each pizza and y represent the cost of each burger. Hence:

2x + y = 450  

The linear equation for this situation is 2x + y = 450. Its graph is attached below and was plotted using geogebra online graphing tool.

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Answer:15

Step-by-step explanation:

You have 2L plus 2w = 40 you know that w = 5. multiply 5 by to because you have 2w. your new equation is 2l + 10 = 40. subtract ten from both sides, your new equation is 2l =30. Divide both sides of the equation by two, get L = 15

The simplified value is 8*cos^4(x) = 3+ 4 cos2x + cos 4x.

The trigonometric power reduction identities allow us to rewrite expressions involving trigonometric terms with trigonometric terms of smaller powers. This becomes important in several applications such as integrating powers of trigonometric expressions in calculus.

Given:

Using the power reduction identity, we have that:

cos² x= 1/2( 1+ cos 2x)

cos^4(x) = (cos² x)²= (1/2( 1+ cos 2x))²

cos^4(x) =  1/4( 1+ cos² 2x+ 2 cos (2x))

Again, cos² 2x= 1/2( 1+ cos 4x)

cos^4(x) =  1/4( 1+ 1/2( 1+ cos 4x)+ 2 cos (2x))

cos^4(x) =  1/4( 1+ 1/2 +1/2 cos 4x+ 2 cos (2x))

cos^4(x) =  1/4( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) =  8*1/4( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) =  2( 3/2 + 2 cos2x + 1/2 cos 4x)

8*cos^4(x) = 3+ 4 cos2x + cos 4x

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Answer:

The answer is b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

x² - 7x - 44

Consider the factors of the constant term (- 44) which sum to give the coefficient of the x- term (- 7)

The factors are - 11 and + 4 , since

- 11 × 4 = - 44 and - 11 + 4 = - 7 , thus

x² - 7x - 44 = (x - 11)(x + 4) ← in factored form

with (x - 11) as a factor → B

Answer:An equation in the slope-intercept form is written as

y=mx+b

Where m is the slope of the line and b is the y-intercept. You can use this equation to write an equation if you know the slope and the y-intercept.

Example

Find the equation of the line

Choose two points that are on the line

Calculate the slope between the two points

m=y2−y1x2−x1=(−1)−33−(−3)=−46=−23

We can find the b-value, the y-intercept, by looking at the graph

picture28

b = 1

We've got a value for m and a value for b. This gives us the linear function

y=−23x+1

In many cases the value of b is not as easily read. In those cases, or if you're uncertain whether the line actually crosses the y-axis in this particular point you can calculate b by solving the equation for b and then substituting x and y with one of your two points.

We can use the example above to illustrate this. We've got the two points (-3, 3) and (3, -1). From these two points we calculated the slope

m=−23

This gives us the equation

y=−23x+b

From this we can solve the equation for b

b=y+23x

And if we put in the values from our first point (-3, 3) we get

b=3+23⋅(−3)=3+(−2)=1

If we put in this value for b in the equation we get

y=−23x+1

which is the same equation as we got when we read the y-intercept from the graph.

To summarize how to write a linear equation using the slope-interception form you

Identify the slope, m. This can be done by calculating the slope between two known points of the line using the slope formula.

Find the y-intercept. This can be done by substituting the slope and the coordinates of a point (x, y) on the line in the slope-intercept formula and then solve for b.

Once you've got both m and b you can just put them in the equation at their respective position.

Answer:

they are already in tenths place value, so they won't change.

Step-by-step explanation:

9514 1404 393

Answer:

  B. False

Step-by-step explanation:

In order for segments to form a triangle, the sum of the shorter two must exceed the length of the longest. Here, that is ...

  5 + 6 vs 12

  11 vs 12

The short segments are not long enough to form a triangle. The assertion is FALSE.

Answer:

525 pages in one hour.

Step-by-step explanation:

1 hour = 60 minutes

70 pages in 8 minutes

[tex]x[/tex] in 60 minutes

8x=4200

525

Answer:

525 pages in 1 hour

Step-by-step explanation:

Use proportions

70 pages --> 8 mins

? pages --> 60 mins

60/8 = 7.5

That means ?/7.5 = 70, then ? = 70*7.5, ? = 525

Answer:

The answer would be A

Step-by-step explanation:

Answer:

9000 lbs

Step-by-step explanation:

Since the amounts are already weighed, we just have to add all the weights together to find the total weight.

3200 + 5100 + 700 = 9000

Remember to leave it in pounds (lbs).

Answer:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Step-by-step explanation:

Benidorm quiz  

1. Where is Benidorm holiday resort located?  

JORDAN  

2. What is the average temperature of Benidorm in summer?  

26 C  

3. Before 1950s Benidorm was a small ___FISHING______ village.  

4. Why did the town council encourage tourism in Benidorm?  

TO VISIT BENIDORM  

5. How many hotels were found in Benidorm in 1959?  

6. Explain package holidays as they were used in Benidorm                                                                                

7. Give three reasons why Benidorm is an excellent tourist resort  

(a)  

(b)  

©  

8. State four tourist attractions at Benidorm

Answer:

Volume of the pyramid is 198 yards^3

Step-by-step explanation:

Here, we are asked to calculate the volume of the pyramid given the area of its base and its height.

Mathematically, the volume of the pyramid can be calculated using the formula below;

Volume of pyramid = Area of heptagonal base * height of pyramid

Volume of pyramid = 30 * 6.6 = 198 yards^3

Answer  c = (a-b)/d

Step-by-step explanation:

subtract b and divide by d

Answer:

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Step-by-step explanation:

Moonlight Hall:

Fixed cost = $1000

Cost per guest = $75

Cost of 'n' guests = 75 [tex]\times n[/tex]

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

[tex]\Rightarrow 1000 + 75 \times n[/tex]

Riverside Hall:

Fixed cost = $1500

Cost per guest = $50

Cost of 'n' guests = 50 [tex]\times n[/tex]

Total cost of moonlight hall = Fixed cost + Cost of 'n' guests

[tex]\Rightarrow 1500 + 50 \times n[/tex]

Hence, Answer 1:

a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: Coordinates of solution:

Option c. (20,2500) satisfies both the equation.

When there are 20 number of guests, the cost of both moonlight and riverside hall comes out to be 2500.

Moonlight Hall cost

[tex]75 \times 20 + 1000\\\Rightarrow \$2500[/tex]

Riverside Hall cost

[tex]50 \times 20 + 1500\\\Rightarrow \$2500[/tex]

Answer 3: c. When there are 20 guests attending the price is $2500.

The solution is done in Answer 2.

So,

Answer 1: a. Moonlight: C=75n+1000

Riverside: C=50n+1500

Answer 2: c. The solution coordinates are c. (20, 2500)

Answer 3: c. When there are 20 guests attending the price is $2500.

Answer:

B

Step-by-step explanation:

f(x) = 3(x + 5) + 4/x

To find f(a + 2) , put a + 2 in place of every x

f(a + 2) = 3 (a + 2 + 5) + 4/(a + 2)

f(a + 2) = 3 (a + 7) + 4/(a + 2)