The cloth top of the gazebo in Mr. Chang’s backyard has ripped from weathering. He needs to know the area of the cloth so he can replace it.


How much cloth, in square feet, will Mr. Chang need, assuming he does not need to replace the cloth at the bottom of the figure?
60
96
120
156

Answer:

72

Step-by-step explanation:

1 then 7+1=8 8+7=15 15+8=23 23+15=38 38+23=61

Ta Da I have taught you the pattern now you can show your work just in case you have one of those teachers hope this helped

The next number in the pattern 1,7,8,15,23,38,61 is 99. The pattern can be understood by calculating the differences between consecutive numbers, and observing a pattern in these differences.

Let's take a look at the pattern 1,7,8,15,23,38,61 closely. At every step, we're adding an increasing number to get to the next term in the sequence. From 1 to 7, we add 6. From 7 to 8, we add 1. From 8 to 15, we add 7, from 15 to 23, we add 8, from 23 to 38, we add 15 and from 38 to 61, we add 23.

The difference between these numbers (6, 1, 7, 8, 15, 23) reads as follows: 5, 6, 1, 7 and 8. So, the next difference could be 15 (continuing the pattern in the differences). So, the next term would be obtained by adding 15 to previous term's difference (23) and then adding that result to 61.

Finally, we calculate 61 + (23 + 15) = 61 + 38 = 99. So, the next number in this pattern should be 99.

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The right answer is Option B.

Step-by-step explanation:

Pieces of bread produced = 800

Pieces of bread sold = 750

Pieces left = Pieces produced - Pieces sold

Pieces left = 800 - 750 = 50

Percentage of bread left = [tex]\frac{Pieces\ left}{Pieces\ of\ bread\ produced}*100[/tex]

[tex]Percentage\ of\ pieces\ left=\frac{50}{800}*100\\Percentage\ of\ pieces\ left=\frac{5000}{800}\\Percentage\ of\ pieces\ left= 6.25\%\\[/tex]

Rounding off to nearest whole percent;

Percentage of pieces left= 6%

The right answer is Option B.

Keywords: percentage, subtraction

Learn more about subtraction at:

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Answer:

The taken by Rhonda to react before volleyball hits ground is 2.39 seconds

Step-by-step explanation:

Given as :

The upward velocity of the volleyball = 14.5 ft/s

The height of the ball above ground = 4 feet

Consider value of acceleration due to gravity = 9.8 m/s

Let the time for Rhonda to react before ball hits ground = t sec

Now,

S = u t + [tex]\frac{1}{2}[/tex] a t²

where s = height

          u = initial velocity  , a = acceleration due to gravity , t = time in sec

So, 4 = 14.5× t + [tex]\frac{1}{2}[/tex] × 9.8 × t²

or, 4 = 14.5 t + 4.9  t²

or, 4.9  t² + 14 .5 t - 4 = 0

Now, solve for t

 t = [tex]\frac{-b\pm \sqrt{b^{2}-4\times a\times c}}{2\times a}[/tex]

or, t =  [tex]\frac{-14.5\pm \sqrt{14.5^{2}-4\times 4.9\times (4)}}{2\times 4.9}[/tex]

Or, t = [tex]\frac{-14.5\pm \sqrt{80.5025}}{9.8}[/tex]

Or, t = - 2.39 , - 2.76

Hence The taken by Rhonda to react before volleyball hits ground is 2.39 seconds . Answer

Answer:

price before tip (b) = $26

Step-by-step explanation:

29.90 is INCLUDING tip, so the real bill, b, would be less.

Now, since 29.90 is including 15% tip, and we let the original bill be "b", we can say:

b INCREASED by 15% gives us 29.90

We need to come up with an equation and solve for b.

15% means 15/100 = 0.15

Now, we can write:

b + 15% of b = 29.90

or

b + 0.15b = 29.90

then

1.15b = 29.90

b = 29.90/1.15

b = 26

So, price before tip (b) = $26

Answer:

the answer is 26

Step-by-step explanation:

Answer:

multip[laction and addition

Step-by-step explanation:

Answer:

I think your functions are [tex]y=2^{x}[/tex] ,[tex]y=2*5^{x}[/tex] and [tex]y=2+5^{x}[/tex]

If yes then then the third function which is [tex]y=2+5^{x}[/tex].

Step-by-step explanation:

The function [tex]c^{x}[/tex] where c is a constant has

Domain : [tex]c\geq 0[/tex]

Range : ( 0 , ∞ )

The above range is irrespective of the value of c.

I have attached the graph of each of the function, you can look at it for visualization.

Answer:

y = 5∧× + 2

Step-by-step explanation:

Answer:

20kg

Step-by-step explanation:

Answer:

X would equal 15

Step-by-step explanation:

-1 × 27 = -27

-27 + 27 =0

18 + 27 = 45

3x ÷ 3 = x

45 ÷ 3 = 15

x = 15

Answer:

is this a question or a passage

Answer:

very confused, are you trying to inform us?

Step-by-step explanation:

Answer:

6 quarts

Step-by-step explanation:

1 gallon = 4 quarts

1 1/2 gallon * (4 quarts / 1 gallon) =  (1 + 1/2) * 4 = 1*4  + 1/2*4 = 4 +2 = 6 quarts

Answer:

x^4 -x^3 -9x^2 -11x -4

Step-by-step explanation:

We can use the zero product property

(x-a)  (x-b) (x-c) (x-d)  where a b c d are the roots

(x- -1)(x- -1)(x- -1) ( x-4) since the root -1 is repeated 3 times and 4 is a root

(x+1)(x+1)(x+1) ( x-4)

Foil the first two terms  and the last two terms

(x^2 + 2x+1)( x^2 -3x-4)

Foil again

x^4 -3x^3 -4x^2 +2x^3 -6x^2 -8x +x^2 -3x-4

Combine like terms

x^4 -x^3 -9x^2 -11x -4

Answer:

Step-by-step explanation:

roots = -1, -1, -1, 4

(x + 1)(x + 1)(x + 1)(x - 4) = 0

(x^2 + 2x + 2)(x^2 - 3x - 4) = 0

x^2(x^2 - 3x - 4) + 2x(x^2 - 3x - 4) + 2(x^2 - 3x - 4) = 0

x^4 - 3x^3 - 4x^2 + 2x^3 - 6x^2 - 8x + 2x^2 - 6x - 8 = 0

x^4 - x^3 - 8x^2 - 14x - 8 = 0

An equation has infinitely many solutions if it can be manipulated all the way to an identity (i.e. an equality where the right and left hand side are the same). We have:

A) [tex]12+4x=6x+10-2x \iff 12+4x=10+4x \iff 12=10[/tex]

which is impossible

B) [tex]5x+14-4x=23+x-9 \iff x+14 = x+14[/tex]

which is an equality

C) [tex]x+9-0.8x=5.2x+17-8\iff 0.2x+9=5.2x+9 \iff 0.2x=5.2x\iff x=0[/tex]

which has a unique solution

D) [tex]4x-2x=20 \iff 2x=20 \iff x=10[/tex]

which has a unique solution

Answer:

it is letter B

The given quadrilateral is not a parallelogram, is convex, and is not a square.

The question asks for the statement that is true about the given quadrilateral with vertices A(4,9), B(2,5), C(8,2), and D(10,6). To determine the truth of statements, we need to consider the properties of the given quadrilateral.

One statement that is true is that it is not a parallelogram. This can be proven by showing that opposite sides are not parallel, as the slopes are not equal.

Another statement that is true is that it is a convex quadrilateral. A convex quadrilateral is one where all interior angles are less than 180 degrees. To prove this, we can calculate the angles and show that they are all less than 180 degrees.

Lastly, a true statement is that it is not a square. A square is a special type of parallelogram with 4 equal sides and 4 right angles. We can determine this by calculating the lengths of the sides and showing that they are not all equal.

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Answer:

[tex]y = \frac{2b}{2a - c} x - \frac{2bc}{2a - c}[/tex]

Step-by-step explanation:

The straight line BD passes through points B(2a,2b) and D(c,0).

Therefore, the equation of the straight line BD will be given by  

[tex]\frac{y - 2b}{2b - 0} = \frac{x - 2a}{2a - c}[/tex]

⇒ [tex]y - 2b = \frac{2b}{2a - c}x - \frac{4ab}{2a - c}[/tex]

⇒ [tex]y = \frac{2b}{2a - c} x - \frac{4ab}{2a - c} + 2b[/tex]

⇒ [tex]y = \frac{2b}{2a - c} x + \frac{-4ab + 4ab - 2bc}{2a - c}[/tex]

⇒ [tex]y = \frac{2b}{2a - c} x - \frac{2bc}{2a - c}[/tex]

Therefore, third option is correct. (Answer)

We know that the equation of a straight line passing through the points ([tex]x_{1},y_{1}[/tex]) and ([tex]x_{2},y_{2}[/tex]) is given by  

[tex]\frac{y - y_{1} }{y_{1} - y_{2}} = \frac{x - x_{1} }{x_{1} - x_{2}}[/tex]

Answer:

y/x

Step-by-step explanation:

If y is directly proportional to x, then:

y = kx

k is the coefficient of proportionality, or the constant rate of change.  Solving for k:

k = y/x

Answer:

Increasing : [tex]-5<x<-1[/tex]  or [tex]-1<x<1[/tex]

Decreasing : [tex]-8<x<-5[/tex]  or [tex]4<x<7[/tex]

Neither : [tex]1<x<4[/tex]

Step-by-step explanation:

Increasing function : In this function, the y-value increases as the x-value increases.

From the given graph it is clear that the function is increasing on  

[tex]-5<x<-1[/tex]

[tex]-1<x<1[/tex]

Decreasing function : In this function, the y-value decreases as the x-value increases.

From the given graph it is clear that the function is decreasing on  

[tex]-8<x<-5[/tex]

[tex]4<x<7[/tex]

Neither increasing nor decreasing function : In this function, the y-value remains constant as the x-value increases.

From the given graph it is clear that the function is neither increasing nor decreasing on  

[tex]1<x<4[/tex]

To determine if a function is increasing, decreasing, or neither over intervals on a graph, analyze the direction of the graph. If the graph goes up, the function is increasing. If it goes down, the function is decreasing. If it remains flat, the function is neither increasing nor decreasing.

The question asks to determine if the function is increasing, decreasing, or neither over each interval on the given graph. To do this, we need to analyze the direction of the graph. If the graph goes up as we move from left to right, the function is increasing. If the graph goes down, the function is decreasing. If the graph remains flat, the function is neither increasing nor decreasing. Drag the intervals to the appropriate box based on these observations.

Answer:[tex]\dfrac{5}{24}[/tex]

Step-by-step explanation:

Let [tex]r[/tex] be the rate at which Jaquez completes his test.

Let [tex]x[/tex] part of test be completed by Jaquez in [tex]t[/tex] hours.

Then,

[tex]x=rt[/tex]

Given that Jaquez completed 1/8 of his test in 3/5 hour.

So,[tex]\frac{1}{8}=r\times \frac{3}{5}[/tex]

[tex]r=\frac{5}{24}[/tex]

To know how much he completes in one hour,substitute [tex]1[/tex] in the above equation.

So,[tex]x=r\times 1=\frac{5}{24}[/tex]

Jaquez completes [tex]\frac{5}{24}[/tex] of his test in [tex]1[/tex] hour

Answer:

Option (d)

5/24

Explanation:  

Hour taken to complete 1/8  of his test=3/5 hour

Suppose r is the rate at which Jackuez completes his test

For completing the test in t hours

The equation is

y= r t

where y is the part of test which will be completed in t hour

with the information given

substituting the values

[tex]\frac{1}{8}=r \frac{3}{5}[/tex]

[tex]r=\frac{5}{24}[/tex]

now when t=1 hour

substituting the value

[tex]\mathrm{x}=\frac{5}{24} \times 1[/tex]

[tex]\mathrm{x}=\frac{5}{24}[/tex]

hence at 1 hour his test was completed [tex]\frac{5}{24}[/tex]

Answer:

- 13(x + [tex]\frac{8}{13}[/tex])

Step-by-step explanation:

Given

- 13x - 8 ← factor out - 13 from each term

= - 13(x + [tex]\frac{8}{13}[/tex])

The question asked to factor out -13 from the expression -13x - 8. The steps include dividing each term by -13. Therefore, the expression factored out by -13 is -13(x + 8/13).

In this mathematical problem, we are asked to factor out -13 from the expression -13x - 8. Factoring out in algebra means to divide each term in the expression by that common factor, which in this case is -13. So, we proceed as follows:

Therefore, the expression -13x - 8 factored out by -13 is -13(x + 8/13).

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Answer:6.8

Step-by-step explanation:

Answer:

0.58 pounds per friend

Step-by-step explanation:

divide 5.8 into the 10 friends.

Those are the factors of 42 c:

(1, 42), (2, 21), (3, 14) and (6, 7).

Answer: The polynomial is irreducible

Step-by-step explanation:

There is nothing we can subtract between x3-12

For example: you are trying to find the polynomial of x4-6

Options:

A. (x+4)(x-6)

B. (x+1+3)(x-6)

C. None the polynomial is irreducible.

You would chose C because there is no subtraction sign in between the parentheses. If you would choose a right answer, you would rewrite it as:

(x+4)-(6)

Answer:

-3 5/6 (-3.83333)

Step-by-step explanation:

(-1x3+2)/3+-(2x6+1)/6

-5/3+-13/6

-5x2/6+-13x1/6

-10/6+-13/6

(-10+-13)/6

-23/6

-(3x6+5)/6

=-3 5/6 or (-3.83333)

The right answer is Option B.

Step-by-step explanation:

A unit rate describes how many units of one type of quantity corresponds to one unit of other type of quantity.

A. Trevor spent $49 on 2 theater tickets.

2 theater tickets = $49

1 theater ticket = [tex]\frac{49}{2} = \$24.5[/tex]

B. Sally bought a pack of 5 shirts for $35.

5 shirts = $35

1 shirt = [tex]\frac{35}{5} = \$7\\[/tex]

C. Brandon bought 7 gallons of gas for $14.

7 gallons = $14

1 gallon = [tex]\frac{14}{7}=\$2[/tex]

D . Gina bought nail polish for $5 and a pack of gum for $2.

1 nail polish = $5

1 pack of gum =$2

The pack of 5 shirts for $35 has a unit rate of $7.

The right answer is Option B.

Keywords: unit rate, division

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Answer:

Step-by-step explanation:

       Area of a circular plot is [tex]9856\text{ }m^{2}[/tex].

The area of a circle with radius [tex]r[/tex] is given by [tex]\pi r^{2}[/tex]

       [tex]\pi r^{2}=9856\\r^{2}=9856\times\frac{7}{22}=3136\\r=56\text{ }m[/tex]

So, the radius of the circular plot is [tex]56\text{ }m[/tex].

       Cost of fencing the plot is [tex]32.50\frac{Rs}{m}[/tex].

   Total circumference of the circular plot is given by [tex]2\pi r[/tex]

Circumference = [tex]2\times\frac{22}{7}\times56=352\text{ }m[/tex]

Cost of fencing = [tex]352\text{ }m\times 32.50\frac{Rs}{m}=11440\text{ }Rs[/tex]

∴ Cost of fencing = Rs 11440

Answer:

(1,K) hope i could help

Step-by-step explanation:

Answer:

[tex](1,K)[/tex]

Step-by-step explanation:

According to the problem, the mixture must contain K ounces of oil for every gallon of gasoline. That is, each gallon of gasoline equals K ounces, this can be expressed as

[tex](1,K)[/tex]

Where [tex]x=1[/tex] expresses each gallon of gasoline and [tex]y=K[/tex] represents ounces of oil.

Therefore, the coordinate on the graph must represent [tex](1,K)[/tex], that is, K ounces of oil per gallon of gasoline.

Answer:

J would be the answer, my friend.

log2 (24/3) = log5 (x)

log(8)/log(2) = log(x)/log(5)

log(x) = [log(5)][3]

log(x) = log(5^3)

x = 5^3 = 125

Step-by-step explanation:

Answer:

x = 125

Step-by-step explanation:

[tex] \log_2 24 - \log_2 3 = \log_5 x [/tex]

Use the rule of subtracting logs:

[tex] \log_b x - \log_b y = \log_b \dfrac{x}{y} [/tex]

[tex] \log_2 \dfrac{24}{3} = \log_5 x [/tex]

[tex] \log_2 8 = \log_5 x [/tex]

[tex] 3 = \log_5 x [/tex]

Use the definition of log:

[tex] \log_b x = y ~~\Longleftrightarrow ~~ b^y = x [/tex]

[tex] x = 5^3 [/tex]

[tex] x = 125 [/tex]

Answer:

13. c,

14. a.

Step-by-step explanation:

13.  The length of a side PQ with coordinates of

      P as (x,y)  and Q as (w,z)

       is: [tex]\sqrt{(x-w)^{2} +(y-z)^{2} }[/tex]

[tex]\sqrt{(5-5)^{2}+(-2+7)^{2}  } =\sqrt{0^{2}+5^{2}  } =5[/tex]

[tex]\sqrt{(5-1)^{2}+(-7+2)^{2}  } =\sqrt{(4)^{2}+(-5)^{2}  } =\sqrt{4^{2}+5^{2}  }[/tex]

[tex]\sqrt{(5-1)^{2} +(-2+2)^{2} } =\sqrt{4^{2} } =4[/tex]

now, the easiest one will be when the vertices are on the coordinate axes.

14. If u see the figure clearly, the lines l and FH are parallel.

the parallel postulate, i.e, the alternate interior angles will always be congruent.

Answer:

no, because the hypotenuses must have different lengths.

Step-by-step explanation:

Answer:

Step-by-step explanation:

11x+11y=-5