what two consecutive numbers that square root of 101 lies between

Answer:

173.15 ft.  

Step-by-step explanation:

Please find the attachment.

Let L be the length of kite.  

We have been given that a kite is stuck in  36-ft tree. The angle of elevation from the kite and the ground is 12.

We can see from our attachment that kite and tree form a right triangle. height of tree is opposite of angle of elevation and length of kite is hypotenuse.

Since we know that Sine relates the opposite and hypotenuse of a right triangle, so we will use sine to find the length of kite.

[tex]sin(12)=\frac{36}{L}[/tex]    

[tex]L=\frac{36}{sin(12)}[/tex]

[tex]L=\frac{36}{0.207911690818}[/tex]  

[tex]L=173.1504364105882792\approx 173.15[/tex]

Therefore, the length of kite is 173.15 ft.

Answer:

D

Step-by-step explanation:

Under a counterclockwise rotation about the origin of 90°

a point (x, y) → (- y, x)

A translation of 3 units up → + 3 in the y- direction, that is add 3 to the y- coordinate, hence

(x, y) → (- y, x) → (- y, x+ 3) → D

The arrangement is as follows:

-3<-1.2<1/6<√7<4.5

Ascending means smallest to largest, 0 to 9, and/or A to Z and Descending means largest to smallest, 9 to 0, and/or Z to A.

Given:

1/6= 0.16667

√7= 2.645

-6/5=  -1.2

So, the least number is -3 and greatest number is 4.5.

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The expressions 8x + 40 and 8(x + 5) are equivalent because both expressions have the same value at x = 6 and x = 10

The expressions are given as:

8x + 40 and 8(x + 5)

When x = 6, we have:

8x + 40 = 8 * 6 + 40

8x + 40 = 88

8(x + 5) = 8(6 + 5)

8(x + 5) = 88

When x = 10, we have:

8x + 40 = 8 * 10 + 40

8x + 40 = 120

8(x + 5) = 8(10 + 5)

8(x + 5) = 120

Notice that both expressions have the same value at x = 6 and x = 10

Hence, the expressions 8x + 40 and 8(x + 5) are equivalent

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Answer:
Sample Response: If both expressions have the same value after substituting and simplifying for x = 6 and x = 10, then they are equivalent. Substitute 6 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 88. Now, substitute 10 for each variable, x, in both expressions. Use the order of operations to simplify both expressions. The value of both expressions is 120. Therefore, the expressions are equivalent.

Step-by-step explanation: trust ‍

The point-slope form of the line:

[tex]y-y_1=m(x-x_1)[/tex]

We have the slope m = -2 and the point (4, -3). Substitute:

[tex]y-(-3)=-2(x-4)\\\\\boxed{y+3=-2(x-4)}[/tex]

Answer:

$13.66

Step-by-step explanation:

Multiply the amount of Dijon mustard and mustard by its price, then add them together.

3 * 3.69 = 11.07

.5 * 5.18 = 2.59

Add these sums together.

11.07 + 2.59 = 13.66

Step-by-step explanation:

5 1/3 means 5 and 1/3 more.

So first we count 5 unit on right side of 0. Then for 1/3 we will divide the length between 5 and 6 into three equal parts and select only 1 part

That location will be exact location of the point 5 1/3.

Repeat same process for -5 2/3 on left side of 0 because -5 2/3 is a negative number.

Check the attached graph for correct locations.

Answer:

nagetive-number

negative 3

Step-by-step explanation:

Answer:

Well, y = 2x - 3.

Step 1:

Subtract 2x from both sides.

-y = -2x + 3.

Step 2:

Divide it all by negative 1.

y = 2x - 3.

IF YOU WANT TO SOLVE FOR X:

Well, x = .5y + 3/2

Which equals to:

(y + 3)/2.

Step 1:

Add y to both sides.

2x = y + 3.

Step 2:

Divide it all by 2:

x = .5y + 3/2

Which equals to:

(y + 3)/2.

They are the same.

Answer:

see explanation

Step-by-step explanation:

(4)

Under a counterclockwise rotation about the origin of 90°

a point (x, y) → (- y, x), hence

C(- 3, 4) → C'(- 4, - 3)

(5)

Under a clockwise rotation about the origin of 180°

a point (x , y) → (-x, - y), hence

A(- 3, 2) → A'(3, - 2)

Answer: all angle measures are equal

Answer:

[tex]-\frac{1}{2\pi}[/tex] cm³/min  

Step-by-step explanation:

Let h = height of water and r = radius of its surface  

[tex]V = \frac{ 1}{ 3}\pi r^{2}h[/tex]

At all times,  

[tex]\frac{r }{h } = \frac{4 }{16 } = \frac{ 1}{4 }[/tex]

So, [tex]r = \frac{h }{4 }[/tex]  

[tex]V = \frac{ 1}{ 3}\pi (\frac{h }{ 4})^{2}h[/tex]

[tex]V = \frac{ 1}{ 48}\pi h^{3}[/tex]

[tex]\frac{\text{d}V}{\text{d}h} = \frac{ 1}{ 16}\pi h^{2}[/tex]

We want [tex]\frac{\text{d}h}{\text{d}t}[/tex]

[tex]\frac{\text{d}V}{\text{d}t} = \frac{\text{d}V}{\text{d}h} \frac{\text{d}h}{\text{d}t}[/tex]

[tex]\frac{\text{d}V}{\text{d}t}[/tex] = -2 cm³/min  

[tex]-2 = \frac{ 1}{ 16}\pi h^{2} \frac{\text{d}h}{\text{d}t}[/tex]

[tex]\frac{\text{d}h}{\text{d}t} = -\frac{2}{\frac{ 1}{ 16}\pi h^{2} }[/tex]

[tex]\frac{\text{d}h}{\text{d}t} = -\frac{32}{\pi h^{2}}[/tex]

When h = 8  cm

[tex]\frac{\text{d}h}{\text{d}t} = -\frac{32}{\pi\times8^{2}}[/tex]

[tex]\frac{\text{d}h}{\text{d}t} = -\frac{32}{64\pi}[/tex]

[tex]\frac{\text{d}h}{\text{d}t} = -\frac{1}{2\pi}[/tex] cm³/min

The depth of the water is decreasing at a rate of [tex]\frac{1}{2\pi}[/tex] cm³/min

.

Answer: D

Step-by-step explanation:

To create a perpendicular bisector:

Congrats! You just constructed a perpendicular bisector!

Answer:

[tex]x^{n+1}[/tex]

Step-by-step explanation:

using the rule of exponents

• [tex]a^{m}[/tex] × [tex]a^{n}[/tex] = [tex]a^{(m+n)}[/tex]

note that x = [tex]x^{1}[/tex], hence

x × [tex]x^{n}[/tex] = [tex]x^{n+1}[/tex]

Answer:

The terms are already in lowest form. The factors of 21 are 21 and 1, and 3 and 7. The factors of 18 are 1 and 18, 2 and 9, and 3 and 6. The factors of 28 are 1 and 28, 2 and 14, and 7 and 4. None of them match up so it is as low as it can be.

Step-by-step explanation:

the greatest common factor is x. because

21, -18, and 28 do not have any shared factors

Answer:

9. x=10

10. x=8

11. x=9/4=2.25

12. x=28

13. x=14

14. x=35

15. x=66

16. x=77/6

Step-by-step explanation:

9. x/20=18/36

Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 18:

x/20=(18/18) / (36/18)

x/20=1/2

Solving for x: Multiplying both sides of the equation by 20:

20(x/20)=20(1/2)

x=10

10. x/12=6/9

Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 3:

x/12=(6/3) / (9/3)

x/12=2/3

Solving for x: Multiplying both sides of the equation by 12:

12(x/12)=12(2/3)

x=4(2)

x=8

11. x/3=3/4

Solving for x: Multiplying both sides of the equation by 3:

3(x/3)=3(3/4)

x=9/4=2.25

12. x/42=30/45

Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 15:

x/42=(30/15) / (45/15)

x/42=2/3

Solving for x: Multiplying both sides of the equation by 42:

42(x/42)=42(2/3)

x=14(2)

x=28

13. x/12=14/12

Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 2:

x/12=(14/2) / (12/2)

x/12=7/6

Solving for x: Multiplying both sides of the equation by 12:

12(x/12)=12(7/6)

x=2(7)

x=14

14. x/25=28/20

Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 4:

x/25=(28/4) / (20/4)

x/25=7/5

Solving for x: Multiplying both sides of the equation by 25:

25(x/25)=25(7/5)

x=5(7)

x=35

15. x/110=(160-100)/100

x/110=60/100

Simplifying the fraction on the right side of the equation, dividing the numerator and denominator by 20:

x/110=(60/20) / (100/20)

x/110=3/5

Solving for x: Multiplying both sides of the equation by 110:

110(x/110)=110(3/5)

x=22(3)

x=66

16. x/11=(x+7)/17

Solving for x: Cross Multiplication:

17x=11(x+7)

Eliminating the parentheses on the right side of the equation:

17x=11(x)+11(7)

Multiplying:

17x=11x+77

Grouping the x's on the left side of the equation: Subtracting 11x both sides of the equation:

17x-11x=11x+77-11x

Subtracting:

6x=77

Dividing both sides of the equation by 6:

6x/6=77/6

Dividing:

x=77/6

Answer:

48

because 4 * 12 is 48

Answer:

48

Step-by-step explanation:

12 x 0.25 = 48

There are 0 unique triangles that can be drawn with the side lengths 4 cm, 5 cm, and 10 cm

How to determine the total number of unique triangles that can be drawn

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

Side lengths = 4 cm, 5 cm, and 10 cm

According to the triangle inequality theorem, the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

So, we have

4 + 5 > 10 --- false

4 + 10 > 5 --- true

5 + 10 > 4 --- true

Since one of the conditions is false, no triangles can be formed using the side lengths

The statement 'the length of a rectangle if the length is twice the size of the width increased by one' translates into the equation l = 2w + 1 in mathematical terms. This equation represents a relationship between the rectangle's length (l) and width (w), with the length being twice the width, increased by one.

The correct translation of the statement 'the length of a rectangle if the length is twice the size of the width increased by one' is mathematical in nature. This sentence is describing a relationship between the length and width of a rectangle.

To put it into an equation, start by denoting the width of the rectangle as 'w'. The statement says that the length is twice this width (2w) plus one. So, the length 'l' can be represented as:

l = 2w + 1

This equation shows the relationship between the length and width of a rectangle according to given statement. For practical purposes, you can insert a numerical value for width 'w' and perform the calculation on the right side to find the length 'l'.

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The mathematical expression translating the phrase is 'L = 2W + 1', where 'L' represents length of the rectangle and 'W' represents the width. It indicates that the length is twice the width, and further increased by one.

The correct translation of the statement 'the length of a rectangle if the length is twice the size of the width increased by one' would result in a mathematical expression for the length of the rectangle (L). If we denote the width of the rectangle as W, then we could represent the length of the rectangle as follows:

L = 2W + 1

This expression indicates that the length is twice the size of the width, and then increased by one. Depending on the value of W, we plug it into the equation to determine the length of the rectangle.

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The inverse of the function x + 2y + 3 = 0 is found by first expressing the function explicitly as y = -½x - 1½ and then swapping x and y to solve for the new y, yielding the inverse function y = -2x - 3.

To find the inverse of a function, we typically swap the roles of x and y, and then solve for y. Given the function x + 2y + 3 = 0, we first write the function explicitly as y in terms of x:

y = -½x - ³2

Now let's find the inverse:

This new function y = -2x - 3 is the inverse of the original function.

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Answer:

The missing value for y is 3

Step-by-step explanation:

y−3=2(x+1)

We know that x=-1 and we want to solve for y

Put in x=-1

y-3 = 2(-1+1)

y-3 = 2(0)

y-3=0

Add 3 to each side

y-3+3 = 0+3

y =3

Answer:

18.5 but rounded to 19 because you cant have half of a box

Step-by-step explanation:

because each box costs 3.5 dollars because i did 1 4 divided by 4.then you want to get to 65 so i did 3.5 divided by 65 then got 18.5 which was rounded because the decimal was big This was the real decimal 18.5714286. THIS MIGHT BE WRONG  

Answer:

Fried crab cakes = $4.50

Cup of gumbo = $3.25

Step-by-step explanation:

Let's make the price of fried crab cakes = x and the price of a cup of gumbo = y. Set up two equations for x and y and solve for each variable.

4 people ordered x and 4 people ordered y for a total of 31 dollars, so this equation would look like: 4x + 4y = 31

2 people ordered x and 1 person ordered y for a total of $12.25, so this equation would look like: 2x + y = 12.25

Now you have your two equations-- solve for a variable in one of the equations and substitute that value into the other equation.

The easiest way to start would be to solve for y in the second equation by subtracting 2x from both sides.

y = 12.25 - 2x

Substitute this value into the first equation.

4x + 4(12.25 - 2x) = 31

Now solve for x-- start by distributing 4 inside the parentheses.

4x + (49 - 8x) = 31

Combine like terms.

-4x + 49 = 31

Subtract 49 from both sides.

-4x = -18

Divide both sides by -4.

x = 4.5

Substitute this value of x into our starting equation for which we solved for y.

2(4.5) + y = 12.25

Multiply 2 and 4.5 together.

9 + y = 12.25

Subtract 9 from both sides.

y = 3.25

Each order of fried crab cakes is worth the x-value [$4.50] and each cup of gumbo is worth the y-value [$3.25].

In this system of linear equations, by denoting the cost of the fried crab cakes as x dollars, and the cost of a cup of gumbo as y dollars, we find that each order of fried crab cakes is $4.50 and each cup of gumbo is $3.25.

The subject of this problem is linear algebra, and it can be solved using a system of linear equations. Let's denote the cost of the fried crab cakes as x dollars, and the cost of a cup of gumbo as y dollars.

From the information given in the problem, we can create the following two equations:

Now, we can solve this system of equations. Divide the first equation by 2, which will give us:

2x + 2y = 15.5

Then subtract the second equation from the result, which will give us:

y = 3.25

Substitute y = 3.25 into the second equation:

2x + 3.25 = 12.25

Finally, solve for x:

x = 4.5

So, each order of fried crab cakes is $4.50 and each cup of gumbo is $3.25.

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Answer:

x=-1, y=4

Step-by-step explanation:

When we solve by elimination, we are getting rid of one variable, in this case y.  We will add the two equations together.

5x-4y=-21

-2x+4y=18

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

3x  = -3

Divide each side by 3

3x/3 =-3/3

x =-1

Now we need to calculate y

-2x +4y = 18

Substitute x=-1

-2(-1)+4y = 18

2+4y =18

Subtract 2 from each side

4y = 18-2

4y=16

Divide each side by 4

4y=16/4

y =4

Answer:

$1,337.91

Step-by-step explanation:

Hello, my dear friend, I am sure the question you are intending should be corrected as follows:

For two weeks, John and Amanda had the following transactions occur to their checking account: a deposit of $1,644.50; checks written for $190, $45, and $7.50; and debit card transactions for $30, $5.59, $7.20, and $21.30. What is the ending balance for this time frame?

If this is the case, then see the operation for the transactions below:

1,644.5−190-45-7.5-30-5.59-7.2-21.3=1,337.91

Please note that Deposits are positive in your account while written checks and debit card charges are negative.

Answer:   0.85 L or [tex]\frac{85L}{100}[/tex]  or [tex]\frac{17L}{20}[/tex]

Step-by-step explanation:

Since, According to the question,

Landen spent time at the beach last weekend = L hours

And, Matéo spent 15% fewer hours at the beach than Landen did.

Therefore, Number of hours spent by  Matéo = (Time spent by Landen last week - 15 % of the Time spent by Landen last week ) hours

=  85% of the Time spent by Landen last week

= [tex]\frac{85\times L}{100}[/tex]

= [tex]\frac{85L}{100}[/tex]  Hours

= [tex]\frac{17L}{20}[/tex]  Hours

=  0.85 L Hours

Answer:

Its L(1-0.15) and L-3/20L

Step-by-step explanation:

Trust me. i got it from Khan Academy. for mine it was B and E. :3

Answer:

That all the answer  hope i helped

Answer:

The answer will be B

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

F(x) = 2x^2 - 8x +8

Axis of symmetry lies at the x coordinate of vertex

To find x coordinate of vertex use formula

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

from the given f(x) , a= 2 and b = -8

Plug in all the values

[tex]x=\frac{-(-8)}{2(2)}[/tex]

[tex]x=\frac{8}{4}=2[/tex]

x=2

So the axis of symmetry at x=2

Event A Answer: [tex]\frac{5}{12}[/tex]

Step-by-step explanation:

sum greater than 7 leaves are the following combinations for 8, 9, 10, 11, and 12:

8 = 26, 35, 44, 51, 62  (5 possibilities)

9 = 36, 45, 54, 63  (4 possibilities)

10 = 46, 55, 64  (3 possibilities)

11 = 56, 65  (2 possibilities)

12 = 66  (1 possibility)

This is a total of 15 possibilities out of 36 total: [tex]\frac{15}{36}[/tex] = [tex]\frac{5}{12}[/tex]

***********************************************************************************

Event B Answer: [tex]\frac{1}{2}[/tex]

Step-by-step explanation:

sum is an even number means both dice are odd or both dice are even.  That results in the following combinations:

11   13  15

22  24  26

31  33  35

42  44  46

51  53  55

62  64  66

This is a total of 18 possibilities out of 36 total: [tex]\frac{18}{36}[/tex] = [tex]\frac{1}{2}[/tex]