Practice & Problem Solving C 8. 8. Leveled Practice Find the rational approximation of V15. a. Approximate using perfect squares.

please help, I need answers asap due tonight ​

Practice & Problem Solving C 8. 8. Leveled Practice Find The Rational Approximation Of V15. A. Approximate

Answers

Answer 1

The approximation for the square root of 15 is given as follows:

9 < 15 < 16.3 < sqrt(15) < 4.

How to approximate a square root by perfect squares approximation?

To approximate the square root of a number x by perfect square approximation, we have to find two numbers:

The greatest integer less than x that is a perfect square, which we call a.The smallest integer greater than x that are perfect squares, which we call b.

Then, the square root of x will be on a compound interval between a and b.

For this problem, we have that:

3² = 9.4² = 16.

Hence, the approximation for the square root of 15 is given as follows:

9 < 15 < 16.3 < sqrt(15) < 4.

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Related Questions

Johnathan worked 4 hours on Monday, 4 hours on Tuesday, 4 hours on Wednesday, 4 hours on Thursday, and 4 hours on Friday. He makes $12.125 an hour. What is his total pay?

Answers

Answer:

$242.50

Step-by-step explanation:

The total of number of hours = 20

Hourly pay = 12.125

20*12.125

Total pay= 242.50

What ratio is equivalent to 18:3 and 6:1

Answers

Answer:

12:2

Step-by-step explanation:

THIS IS TRUE AND EASY

Answer:

12:2

24:4

30:5

36:6

42:7

The sum of three lengths of a fence ranges from 31 to 40 inches. two side lengths are 9 and 12 inches. if the length of the third side is x inches, write and solve a compound inequality to show the possible lengths of the third side. 31 ≤ x ≤ 40 22 ≤ x ≤ 28 10 ≤ x ≤ 19 9 ≤ x ≤ 12

Answers

If two side lengths of a fence are 9 and 12 inches and the sum of the three lengths ranges from 31 to 40 inches, then the length of the third side, x,  can be presented by the compound inequality 10 < x < 19.

Inequality refers to the relationship between two non-equal expressions. It can be denoted by > for greater than, < for less than, >/= for greater than and equal to, and </= for less than and equal to.

Given that the sum of the three lengths of a fence ranges from 31 to 40 inches, the inequality can be written as:

31 < sum < 40

If two side lengths are 9 and 12 inches, and let x be the third length, the inequality becomes:

31 < 9 + 12 + x < 40

31 < 21 + x < 40

Subtracting 21 at all sides,

31 - 21 < 21 + x - 21 < 40 - 21

10 < x < 19

Hence, the compound inequality to show the length of the third side can be written as 10 < x < 19.

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Are 5y and 5x like terms?

Answers

Answer:

No. They include 2 different elements that are unrelated, being x and y, making them unlike terms.

Answer:no

Step-by-step explanation:in order for them to be like terms they would have to have the same variables

solve 2x + 6 < 10 or 2x + 8 > 20.

Answers

Answer:

Step-by-step explanation:

the answer you end up getting is D

2x/2 > 12/2x > 6

Because x is greater than 2

PLEASE HELP ASAPPP !! WILL GIVE BRAINLIEST AND 5 STAR RATINGGG

Answers

Answer: C

Step-by-step explanation:

A negative times a negative equals a positive.

Identify the vertex, axis of symmetry, and direction of the graph of each function. Compare the width of the graph to the width of the graph of f(x)=x^2

Answers

Answers:Vertex = (2, -4)Axis of symmetry is x = 2Direction: Opens upward

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

Explanation:

Compare the equation

[tex]y = (x-2)^2 - 4[/tex]

to the vertex form

[tex]y = a(x-h)^2 + k[/tex]

we have:

a = 1h = 2k = -4

The vertex is located at (h,k) = (2, -4). Nice job on getting the correct answer for the vertex.

The axis of symmetry is x = 2 since the axis of symmetry goes through the vertex. It's the vertical mirror line.

Because a = 1 is positive, the parabola opens upward. It forms a bowl shape. The vertex is the lowest point.

If a < 0, then the parabola would open downward and have a highest point.

Help me out to get the answer please

Answers

Answer:

21

Step-by-step explanation:

1+6=7

7+4=11

11+11=21

Answer:

m=7

Step-by-step explanation:

it's in the picture

the left got cut out but there's a bracket at the end of the first line

Given f(n) = 7n - 5
Evaluate f(-2)

Answers

The answer will be 7(-2) - 5 = -14 - 5 = -19

So f(-2) = -19 :)

Answer:

[tex]{ \tt{f(n) = 7n - 5}} \\ { \tt{f( - 2) = 7( - 2) - 5}} \\ { \tt{f( - 2) = - 14 - 5}} \\ { \tt{f( - 2) = - 19}}[/tex]

Does the figure below appear to have line symmetry if so how many lines of symmetry

Answers

It has 0 lines of symmetry

I need the answer to all of them Rolly quick Bc my phone is dying

Answers

Answer:

1: $5

2: 7

3: 18

4: 17

5: 2

6: 1,029

Step-by-step explanation:

9. Marlee is making jewelry for a class craft
show. She began with 115 inches of wire.
She used 25.75 inches for rings. Then her
teacher gave her 30 1/4 inches of wire to
make more jewelry. She then used 38 1/2
inches for the bracelets and 60.2 inches for
necklaces. How much wire does Marlee
have left?

Answers

The wire that Marlee had left is 20.8 inches.

How to calculate the fraction?

From the information given, it was stated that Marlee is making jewelry for a class craft show and that she began with 115 inches of wire.

Amount used for rings = 25.75 inches..

Amount given to her by the teacher = 30 1/4 inches.

Amount used for bracelets = 38 1/2

inches.

Amount used for necklace = 60.2 inches

It should be noted to know the wire left, we have to subtract the values that were used and then add the value that her teacher gave her from the original value. This will be calculated thus:

This will be:

= 115 - 25.75 + 30.25 - 38.5 - 60.2

= 20.8 inches

Therefore, in conclusion, the wire that Marlee had will be 20.8 inches left.

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Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation. Which of the following would complete the expression? Select all that apply.
2x? + 1x100 + 9x10
A.1,000
B. 10 to the 4th power point
C. 100,000
D. 10 to the 3rd powerpoint
E. 10,000

Answers

The option that would complete the given expression is; Option B: 10 to the fourth power

How to write a number is Expanded Notation?

We are told that Juliana wants to write the number twenty thousand, one hundred ninety in expanded notation.

This can be broken down as;

20,190

This can be broken further down into;

20000 + 100 + 90

Writing in expanded notation gives;

(2 * 10⁴) + (1 * 10²) + (9 * 10¹)

Thus, we can say that the option that would complete the given expression is; Option B: 10 to the fourth power

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11+{19+6}={11+___}+6

Answers

Answer:

Step-by-step explanation:

11+(19+6)= (11+19)+6 so it's the associative property

X - 2(X + 10) = 12
What is this??!?!!?

Answers

Answer:

-32

Step-by-step explanation:

Pal, it's M A T H

Answer:

-32

Step-by-step explanation:

x-2x-20=12

-x=32

x=-32

.....................

Please help me with this

Answers

Answer:

2.7 miles

Step-by-step explanation:

0.5 + 1.3 + 0.9 = 2.7

8/7 x 4 6/7 help plssss

Answers

Answer:

272/49

Step-by-step explanation:

hope this helps :)

Simplify: (2 3/5)+(-3 3/4)​

Answers

Answer:

-23/20

Step-by-step explanation:

The answer is 52/75 :)

The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.
Is the sequence of transformations mapping △ABC to △DEF an isometry?


Yes. The sequence of transformations is an isometry because it contains only non-rigid transformations.

Yes. The sequence of transformations is an isometry because it contains only rigid transformations.

No. The sequence of transformations is an isometry because it contains only non-rigid transformations.

No. The sequence of transformations is an isometry because it contains only rigid transformations.

Answers

Answer:

Yes. The sequence of transformations is an isometry because it contains only rigid transformations.

Step-by-step explanation:

Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

The vertices of △ABC are (1, 2), (3, 2), and (2, 7), respectively. A sequence of transformations maps △ABC to △DEF. The vertices of △DEF are (4, −4), (6, −4), and (5, 1), respectively.

The rule of the transformation is given as,

(4, -4) ⇒ (1 - x, 2 - y)

Yes, The sequence of transformations is an isometry because it contains only rigid transformations. Then the correct option is B.

The graph of transformation is attached below.

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shae used the product of rule to prove that 7 to 0 power is equal to 1

Answers

Answer:

yes a product of any number to 0 is equal to 1

find the intersection of the three sets: A={-2,7,8,11}, B={-2,7,11}, C={-2,8,11}

Answers

The intersection of three sets A,B and C is {₋2 , 11}.

Given set A = {₋2,7,8,11}

set B = {₋2,7,11}

set C = {₋2,8,11}

we need to find A∩B∩C.

The components shared by all the sets A, B, and C are given by the intersection of A and B as a set. A ∩ B ∩ C is a notation that can be used to indicate the intersection of A, B, and C.

To obtain A intersection B intersection C, first determine the common elements of sets A and B, or A ∩ B. Then determine the common elements of sets B and C, or B ∩ C. Finally, compute the common elements of these two results.

we first find:

A∩B = {₋2,7,8,11} ∩  {₋2,7,11}

=  {₋2,7,11}

then B ∩ C =  {₋2,7,11} ∩  {₋2,8,11}

= {₋2 , 11}

now (A∩B) ∩ (B∩C) =  {₋2,7,11} ∩ {₋2 , 11}

= {₋2 , 11}

hence we get the intersection of three sets as {₋2 , 11}

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If there are 52 weeks in a year, how many more hours does a squirrel sleep in a year than a rabbit?

Answers

The squirrel sleeps 2548 hours more than the rabbit.

Difference of the numbers

Difference of the numbers means the result of subtracting one number from another.

Given,

If there are 52 weeks in a year,

Then we need to find how many more hours does a squirrel sleep in a year than a rabbit.

First, we have to find the sleeping pattern of squirrel  and rabbit.

A squirrel spends up to 60% of its day asleep, which means that an average squirrel sleeps for almost 15 hours each day.

Similarly, the rabbits are sleep six to eight hours each day.

So for one day,

Rabbit = 8 hours per day

Squirrel = 15 hours per day.

Then the sleeping hours for one week is

Rabbit = 8 x 7 = 56 hours

Squirrel = 15 x 7 = 105 hours

So, for 52 weeks, they spend

Rabbit = 56 x 52 = 2912

Squirrel = 105 x 52 = 5460

So, the difference is

=> 5460 - 2912

=> 2548

Therefore, the squirrel sleeps 2548 hours more than the rabbit.

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If AB and CD intersect at point E, m measure of all four angles.

Answers

The all four angles are ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40o.

What are vertically  angles?

Vertical  angles are formed when two lines cross at a point. They are always on an equal footing. In other words, four angles are created anytime two lines cross or intersect. It is evident that two opposed angles are equal and are referred to as vertical angles.

Given that

∠BOC+∠AOC=280o   (AB and CD intersect at point E)

we know that, ∠AED and ∠BEC are vertically opposite angles ∠AED=∠BEC

we know that, ∠AED=∠BEC

so it can be written as

∠AED+∠AED=180o,

2∠AED=280o,

∠AED= 140o,

∠AED=∠BEC=140o

we know that ∠AEC and ∠AEC form a linear pair

So it can be written as

∠AEC+∠AED=180

substituting the values

∠AEC+140o=180o

∠AEC=40o

we know that ∠AEC and ∠BED are vertically opposite angles

∠AEC=∠BED=40o

Therefore, ∠AEC=40o, ∠BEC=140o, ∠AED=140o, ∠BED=40

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A vinyl decal shop charges a set-up fee of $25.00 and $5.00 for each decal printed. donna is ordering one decal for each of the 6 cheerleaders. if x decals are ordered, the total cost of the set-up fee and decals can be represented by f\left(x\right)=5x+25f(x)=5x+25. what are the range values for this situation?

Answers

The range of the situation is 30 to 55.

What is equation?

An equation is a mathematical expression that contains an equals symbol. Equations often contain algebra. Algebra is used when you do not know the exact number in a calculation.

Given:

A vinyl decal shop charges a set-up fee of $25.00

$5.00 for each decal printed.

as, f(x)=5x+25 represents the total cost of the set-up fee

we have 6 cheerleaders

put x= 1

5x+25 = 5+25 = 30

and x=6

5x+25= 5*6+25= 30+25= 55

Hence, the range is 30 to 55.

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Point N is the midpoint of segment FG. If FN = 2z2 + 4z +3, write the expression below that represents FG.

Answers

The center of segment FG is located at point N. Write the formula that expresses FG if FN = 2z2 + 4z + 3.

Since O represents the midway, both FO and OG must be equal.

3x + 17 = 7x - 15

Add 3x to both sides and subtract:

17 = 4x -15

To both sides, add 15:

32 = 4x

Subtract 4 from both sides:

x = 32/4

X = 8

Now that you know the value of X, find the lengths:

FO = 3x +17 = 3(8) +17 = 24 +17 = 41

OG = 7x -15 = 7(8) -15 = 56-15 = 41

Total length would be 41 + 41 = 82

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A function is shown in the table.


x g(x)

−2 2

−1 0

0 2

1 8

Which of the following is a true statement for this function? (5 points)


Group of answer choices


The function is decreasing from x = 0 to x = 1.


The function is decreasing from x = −1 to x = 0.


The function is increasing from x = 0 to x = 1.


The function is increasing from x = −2 to x = −1.

Answers

Answer:

The function is increasing from x = 0 to x = 1.

Step-by-step explanation:

The value of g(0) is less than g(1), meaning g(x) increased from x=0 to x=1.

translate the following statement into an equation and solve for x: the number 80 is the product of "-10" and x

Answers

The value of x is -8 in the equation.

How to calculate the equation?

It should be noted that the information is that the number 80 is the product of "-10" and x.

This will be represented as:

-10 × x = 80

-10x = 80

Divide both side by -10

-10x/-10 = 80/-10

x = -8

Therefore, the value of x is -8.

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Segments AD and BC intersect at point O.
Prove that AC = BD,
m∠ABC=m∠BAD.

Answers

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

How to prove Congruent Angles?

In ΔOAC and ΔODB, we have the following observations

CO = DO because it is shown that they are congruent

∠AOC = ∠BOD because vertical angles are congruent

∠ACO = ∠BDO because we are given that they are congruent

Now, the congruency theorem that we can use here is ASA which means Angle - Side - Angle. This implies that 2 corresponding angles and the included side are congruent.

If any two angles and the side included between the angles of one triangle are equivalent to the corresponding two angles and side included between the angles of the second triangle, then the two triangles are said to be congruent by Angle - Side - Angle congruence theorem.

Since both triangles are congruent, then we can conclude that AC = BD by Angle - Side - Angle congruence theorem.

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HELP PLEASEEEI’ll
Make you brainlist

Answers

Answer:

Step-by-step explanation:

0,5 0.6 and 0.5 again? sorry i might be wrong if i am my apologies

Ali Makes a Four digit number . The sum of the digit is 4 . The thousands digit and the unit digit are the same. The hundreds digit is zero.
What is Ali's number?

Answers

Answer:

6000

Step-by-step explanation:

thousands digit and the units digit are the same.

and The hundreds digit and the tens digit are the same.

The hundreds digit is 0.

so three digits are same.

so the last three digits are 0.

The sum of the digits is 6.

so 6000 is right answer.

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