Mili has 5 rocks in his rock collection .he finds 40 rocks outside that he wants to put in his collection . If he places the rocks into boxes of 9 how many boxes of rocks will he have in his collection

When we evaluate the expression 8x² + 6x - 8 in x = 2, we will get the value 36.

Here we need to evaluate the following expression:

8x² + 6x - 8

in x = 2.

Evaluating means that we need to replace the variable by the given number. Replacing the "x" by 2, we will get:

8*2² + 6*2 - 8

8*4 + 12 - 8

8*3 + 12

24 + 12 = 36

When x = 2, the expression is equal to 36.

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Zeros of the given equation are {-2, 3, (-1±i√3)/2}

As the last term is -6 then, ± 2 , ±3 are possible zeroes.

Try 2:-

[tex]2^4-6*(2)^2-7*2-6=-28[/tex] so  2 is not a zero.

Try 3:-

[tex]3^4-6*(3)^2-7*3-6=0[/tex]  so 3 is a zero.

[tex](-2)^4-6*(-2)^2-7*(-2)-6=0[/tex]  so -2 is also a zero.

Divide the function by (x +2)(x - 3),  that is  [tex]x^2 - x - 6[/tex]

gives  [tex]x^2 + x + 1[/tex]

[tex]x^2 + x + 1[/tex]

So we have [tex]x^2 + x + 1 = 0[/tex]

[tex]x = [-1 +\sqrt{1^1 - 4*1*1}] / 2[/tex]

= -1 + √(-3) / 2 , - 1 - √(-3)  / 2.

= -0.5 + 0.866i, -0.5 - 0.866i

In mathematics, the number that results in the original number when multiplied by itself is called the root.

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Answer:

0.05 US$=1 sar

then,1 US$=1/0.05 sar.

52s is the maximum time that she can take on her last lap and still make the team.

Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.

Given that he mean pace a student needs to achieve on 5 laps of the pool is 60 seconds (s).

The student swims a lap in 63 s, 62 s, 65 s, and 58 s on her first four laps.

We need to find the maximum time (in seconds) that she can take on her last lap and still make the team

Let x be the maximum time (in seconds) that she can take on her last lap

60=(63+62+65+58+x)/5

300=63+62+65+58+x

300=248+x

Subtract 248 on both sides

300-248=x

x=52s

Hence, 52s is the maximum time that she can take on her last lap and still make the team.

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Answer: solve the same variables

Step-by-step explanation:

1. 3y + 4.1

2. 4x +

3. 5x + 22½

4. 4y²

5. + 25

6. 0

On solving the problem we got that, 17yds and 11yds are its length and width​

The circumference of an item is known as its perimeter. For instance, your home has a yard that is enclosed. The length of the fence is the perimeter. The length of your fence is 200 feet if the yard is 50 feet by 50 feet.

length =L

width = W

length is 6 yd longer than its width,

L  =  6 + W

perimeter is 56yds:    

[tex]56= 2(L + W) \\ = > 68 = 2(6 + W) + 2W\\= > 12+ 2W + 2W = 56\\= > 4W = 44\\= > W = 11 yds\\= > L = 11+6 = 17 yds[/tex]

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Answer:

10.74666666666667 per quart

Step-by-step explanation3 divided 36.24

Answer:

510 miles

Step-by-step explanation:

                                       A                     B

Rate                               80                  120

Time                                 x                     x - 2

Distance        

Distance = rate x time

A's distance

d = 80x

B's distance

d = 120(x -2)          

The distances equal each other when B catches up to A.  Set the equations equal to each other and solve for the time

80x = 120(x -2)  Distribute the 120

80x = 120x - 240  Subtract 120x from both sides

-40x = -240    Divide both sides by -40

x = 6

After 6 hours, B caught up with A.  Substitute 6 for t and find the distance. You can use A or B.    

d= 80x

d = 80(6)

d = 480

We need to add another 30 miles to get to the next town.

480 + 30 = 510

Hello there!

Answer:

14

Step-by-step explanation:

Let the smaller side is x. Then the largest side is x * 7/5.

Perimeter is equal to 2 * (x + 7/5 * x) or 48.

2 * (x + 7/5 * x) = 48

5/5 * x + 7/5 * x = 24

12/5 * x = 24

12/5 * 5/12 * x = 24 * 5/12

x = 10.

Tha larger side is 10 * 7/5 = 14.

Step-by-step explanation:

Given ,

To Find : Which side is longer

We know the formula to find the perimeter of a parallelogram is,

[tex]P = 2(a+b)[/tex]

We take 'x' to find out which side is longer

[tex]48 = 2(7x+5x)\\48 = 2(12x)\\48 = 24x\\\frac{48}{24} = x[/tex]

[tex]2 = x[/tex]

Side a = 7x = 7 x 2 = 14

Side b = 5x = 5 x 2 = 10

Side a [tex]\geq[/tex] Side b

Hence,  side a is longer

Answer: 8 x + 5 y + 1

8x+5y+1

so that would be B)

The central theme of Arachne is human limitation and hubris.The center of the ellipse is located midway between the foci .

The center of the ellipse is located midway between the foci. The minor axis is the line segment going through the center and perpendicular to the major axis, with both endpoints on the ellipse. The length of the ellipse's major axis is equal to the bigger of 2a or 2b, while the length of its minor axis is equal to the smaller. The major axis, which is the largest distance between any two points on the ellipse, is the line that connects both foci and runs from one end to the other. The minor axis, which is the shortest path between two points on the ellipse, is the line that passes through the center of the major axis in a perpendicular direction.

given

The central theme of Arachne is human limitation and hubris. Arachne, a young girl who is a remarkably gifted weaver, thrives on the adulation of her customers.

As a result of her youth and inexperience as well as her awareness of her exceptional talents, Arachne eventually boasts that her weaving is even greater than Athena's.

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Answer:

GCF of 12 and 100 by Prime Factorization

Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.

GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100

There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.

Answer:

Step-by-step explanation:

15.9 beacuse yeah thats it

Answer:

Its 1 because you are moving the digits 1 place to the right

Step-by-step explanation:

Answer:

Answer:Step-by-step explanation:GivenRequiredDetermine g(w)First, we'll write an expression for g(w)From the question, we understand that she withdrew $40 from her account balance in w weeks.This implies that:Where f(w) is the account balance in w weeks and $40 is the withdrawn amountSubstitute 250 + 10w for f(w)Collect Like TermsRecall that:This means that function f(w) when shifter by 40 units downward, gives g(w)

Step-by-step explanation:

In response to the above problem, we may state that the triangle's - 5/13 measurements correspond to sin and cos.

The first six essential trigonometric functions are used in trigonometry. These functions are trigonometric ratios. The sine function, cosine function, secant function, co-secant function, tangent function, and co-tangent function are the six basic trigonometric functions. The side ratio of a right-angled triangle is equivalent to the identities and functions of trigonometry. Trigonometric formulas are applied to the perpendicular side, hypotenuse, and base of a right triangle in order to calculate the sine, cosine, tangent, secant, and cotangent values.

as base/hypotenuse = cos x

and sin x = hypotenuse/perpendicular

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Answer:

N = 2

Step-by-step explanation:

We must solve for N.

Solve inside the parenthesis if needed, otherwise open them

7n + 21 = (14) + (21)

Now solve, then simplify

7n + 21 = 35

7n = 35 - 21

7n = 14

N = 2

Rami's glass is fuller than Will's glass by 1/8

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

Rami's glass is 1/2 full. Will's glass is 3/8 full.

Convert the fractions to decimal

This gives

Rami's glass is 0.5 full. Will's glass is 0.375 full.

0.5 is greater than 0.375

So, Rami's glass is fuller

To do this, we calculate the difference

So, we have

Difference = 0.5 - 0.375

Evaluate

Difference = 0.125

Rewrite as

Difference = 1/8

Hence, it is 1/8 fuller

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The equation of the least squares regression line for the data set is (b) ŷ = -2.984x + 112.38

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

Volunteer 15 11 22 35 18 41 27 18

Trees 77 99 4 11 44 14 2 90

Using a graphing calculator, we have the following calculation summary

The regression equation is represented as

ŷ = bX + a

Where

b = SP/SSX = -2213.88/741.88 = -2.98416

a = MY - bMX = 42.63 - (-2.98*23.38) = 112.37978

So, we have

ŷ = -2.98416X + 112.37978

Approximate

ŷ = -2.984x + 112.38

Hence, the equation  is ŷ = -2.984x + 112.38

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Triangles ABC and DEC are similar.

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane.

Here, we have,

Given the triangles ABC and DEC

For the triangle ABC:

m∠A = 36, m∠B = 21

So, the m∠C = 180 - (m∠A + m∠B ) = 180 - (36 + 21) = 123

Similarly, the angles of DEC are,

m∠D=36 , m∠C=123 & we get,  m∠E =21

So, comparing the measurements of the angles of both triangles:

m∠A=m∠D.

m∠C=m∠C

m∠B=m∠E

So, the triangles are similar using the AAA postulate.

Hence, triangles ABC and DEC are similar.

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The probabilities of the number of people told that they have hypertension, using the binomial distribution, are given as follows:

a) Zero: 0.2536 = 25.36%.

b) More than 1: 0.3461 = 34.61%.

c) Between one and three: 0.7331 = 73.31%.

d) Two or fewer: 0.9068 = 90.68%.

e) Five: 0.0008 = 0.08%.

The mass probability formula, giving the probability of x successes, is of:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are given by:

The values of these parameters for this problem are given as follows:

p = 0.24, n = 5.

Hence the probability for each outcome in the distribution is given as follows:

Hence the missing probabilities are given as follows:

b) More than 1: 1 - (0.2536 + 0.4003) = 0.3461 = 34.61%.

c) Between one and three: 0.4003 + 0.2529 + 0.0799 = 0.7331 = 73.31%.

d) Two or fewer: 0.2536 + 0.4003 + 0.2529 = 0.9068 = 90.68%.

The probability that a person has hypertension is given as follows:

p = 0.24.

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Answer:

B. 1/6

D. 3/12

F. 4 3/11

PLEASE MARK BRAINLIEST

Answer:

  y < 1/2x +6

Step-by-step explanation:

You want the inequality graphed in the given figure.

The line is dashed, and the shading is below it, so the inequality will have the form ...

  y < ...

This is because the boundary line is not included, and the y-values in the solution are less than those on the boundary line.

The y-intercept is at +6, where the line crosses the y-axis.

The line goes 2 units to the right for each 1 unit up, so its slope is ...

  m = rise/run = 1/2

The slope-intercept equation for the boundary line is ...

  y = mx +b . . . . . . slope m; y-intercept b

  y = 1/2x +6 . . . . . equation of the boundary line in the graph

Putting the boundary line expression into the inequality form gives the inequality that describes the graph:

  y < 1/2x +6

Explanation:

The zeros in 0.00798516 are not considered significant because they are not between nonzero values.

If we had something like 1.207, then that zero would be considered significant.

The first three significant values we come across in 0.00798516 are 7, 9 and 8 in that order. The next digit 5 meets the criteria of "5 or larger", which means the 798 bumps up to 799. Erase everything to the right of that.

Therefore, 0.00798516 rounds to 0.00799 when rounding to 3 significant figures.

Answer: 0.00799

0.00798516 rounded off to three significant figures is 0.00799

hope that helps...

Answer: The equation Y-5 = -7/3(X-3) in standard form is:

3Y - 15 = -7X + 21

Step-by-step explanation:

Answer: 12x^3 y^3 (x − 4y)

(GCF is: 12x^3 y^3)

Step-by-step explanation:

This is the best I can do, sorry that I don't have an explanation.

Carmen and her dog, Duke walked at a slower rate at 0.625 blocks/min

Carmen and her dog, Duke would take 19.2 minutes to work 12 blocks.

In math, a rate is a ratio that compares two different quantities which have different units. For example, if we say John types 50 words in a minute, then his rate of typing is 50 words per minute. The word "per" gives a clue that we are dealing with a rate. The word "per" can be further replaced by the symbol "/" in problems.

Carmen/Duke walks 5/8 = 0.625

Terell/Lady walks 8/12 = 0.677

Therefore, from the average time, Carmen and Duke walk slower.

Carmen and Duke will walk 12 blocks in;

= 12/0.625

= 19.2 minutes

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By working a full year, you may expect to earn a total of $19,646.25 in earrings.

This mathematical operation enables the multiplication, division, addition, or subtraction of numbers. The following is the structure of an expression: Expression: (Number/Variable, Math Operator, Math Operator)

An expression, also known as an algebraic expression, is any mathematical statement that consists of numbers, variables, and an arithmetic operation between them. For example, the mathematical sign + separates the phrases 4m and 5 from the variable m in the phrase 4m + 5.

Combining numbers, variables, and operators to represent something's value is known as a mathematical expression. Setting two expressions equal to one another creates an equation, a mathematical statement.

= Total overtime pay of $2,193.75 (first 6 months)

Add the regular and overtime pay after that:

= $7,312.50 + $2,193.75

= $9,506,25 in total income (first 6 months)

$7,800.00totalregularpay(last6months)

Overtime pay:(26weeks in a half year) \=$8\times

7.57.5\times1.51.5\times

$ 26

= Total overtime pay of $2,340.00 (last 6 months)

Add the regular and overtime pay after that:

= $7,800.00 + $2,340.00

= $10,140.00 in total income (last 6 months)

In the end, add the combined earnings from the two half years:

= $9,506.25 + $10,140.00

= Total annual profits of $19,646.25 (expected)

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