HELP! This is due in a few hours!!!!

2| x+5 / 3 | - 6 > 12

Answer:

[tex]6^{7/2}[/tex]

Step-by-step explanation:

[tex]6^4 \div 6^{1/2} \\ \\ =6^{4-\frac{1}{2}} \\ \\ =6^{7/2}[/tex]

The ratio of Ali's score to Ben's score to Clare's score in its simplest form is  1 : 3.5 : 7

Given data:

Claire's score = 7 * Ali's score

Ben's score = 0.5 * Claire's score

let Ali's score = x

let Ben's score = y

let Claire's score = z

z = 7 * x = 7x

z = 7x

y = 0.5 * z = 1/2 * z = z / 2

plugging the value of z gives

y = 7x / 2

writing the ratios in terms of x gives

Ali : Ben : Claire

x : y : z

x : 7x/2 : 7x

reducing the terms by dividing through by x

1 : 7/2 : 7

OR

1 : 3.5 : 7

clearing the fraction gives

2 : 7 : 14

Therefore, the ratio of Ali's score to Ben's score to Clare's score in its simplest form is  1 : 3.5 : 7

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Cindy's age is 40 years and Madison's age is 17 years.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.

Given that Madison and Cindy have a combined age of 65 Cindy is 20 less than four times Madison's age. The age will be calculated by using the information.

C + M = 65

C = 4M - 20

4M - 20 + M = 65

5M = 65 + 20

5M = 85

M = 85 / 5

M = 17 years

Therefore, Cindy's age is 40 years and Madison's age is 17 years.

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The center of the circle is (3, -1) and the radius  of the circle is 4

The equation of the circle is given as

x^2 + y^2 - 6x + 2y = 6

The above equation is the standard equation of a circle

Start by converting the above standard equation of a circle to a form other than the standard equation

Using a graphing calculator, we have the following form

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

The equation of a circle is represented as

(x - h)^2 + (y - k)^2 = r^2

Where the center is

Center = (h, k)

So, we have

(h, k) = (3, -1)

This means that

Center = (3, -1)

Hence, the center of the circle is (3, -1)

In (a), we have

Using a graphing calculator, we have the following form

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

The equation of a circle is represented as

(x - h)^2 + (y - k)^2 = r^2

Where the radius is

Radius = r

So, we have

r = 4

This means that

Radius = 4

Hence, the radius  of the circle is 4

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Step-by-step explanation:

the solution of such a system of inequalities with 2 variables is the joined area above both lines (that are the bottom delimiters of both inequalities).

these lines are just the equations instead of the inequalities.

we have the lines

y = 4x - 3

y = -2x + 3

when going from left to right (x goes from -infinity to +infinity), the line y = -2x + 3 is first above the other line.

we know this, because the y-intercept (+3 vs. -3) is above, and the slope (-2 vs. 4) makes the line going downward from high above on the left.

at the intersection point between the 2 lines this changes, and we have to stay above y = 4x - 3.

so, we need the intersection point :

4x - 3 = -2x + 3

6x = 6

x = 1

y = 4x - 3 = 4×1 - 3 = 4 - 3 = 1

so, the solution is

y >= -2x + 3 -infinity < x <= 1 or simply x <= 1

y > 4x - 3 1 < x < +infinity or simply x > 1

it is important to maintain the original inequality type (<, >, <=, >=).

the intersection point is included, because of the ">=" sign in the second inequality.

If a random sample of 100 individuals finds a sample mean value of 22 and sample standard deviation of 3. The 99% confidence interval for the population mean is: A. [21.23 , 22.77].

Using this formula

Confidence interval=Sample means± (z-score× Standard deviation/√Sample size)

Let plug in the formula

The corresponding z-scores for 99% confidence interval is ± 2.575

Hence:

Confidence interval=22± (2.575×3÷√100)

Confidence interval=22± (2.575×3÷10)

Confidence interval=22± (2.575×0.3)

Confidence interval=22± 0.7725

Confidence interval=(22-0.7725); (22+ 0.7725)

Confidence interval=21.23, 22.77

Therefore If a random sample of 100 individuals finds a sample mean value of 22 and sample standard deviation of 3. The 99% confidence interval for the population mean is: A. [21.23 , 22.77].

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Answer:

  [tex]a_n=a_{n-1}+4\qquad a_1=4[/tex]

Step-by-step explanation:

You want the recursive formula that matches the sequence 4, 8, 12, 16, 20.

Your problem statement tells you the recursive formula is ...

  [tex]a_n=a_{n-1}+d\qquad a_1=\text{first term}[/tex]

where 'd' is the common difference.

This means you only need to identify the perimeter associated with n=1 (first term), and the difference between perimeters for adjacent values of n.

The table tells you ...

  [tex]a_1=4\\d=8-4=4[/tex]

Filling these values into the given formula, you have the recursive formula ...

  [tex]\boxed{a_n=a_{n-1}+4\qquad a_1=4}[/tex]

The amount of the check with 6 percent of the amount invested was (2) $27.00.

So, 6% of $450:
Then,

Therefore, the amount of the check with 6 percent of the amount invested was (2) $27.00.

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The required measure of the line DE segment is 29.

What does a line in mathematics mean?

(9) Given ,

               DF = 42

Here,

DF = DE + EF

From the given put the values of  DF = 42, DE = 7x +1 and EF = 4x - 3

42 = 7x + 1 + 4x - 3

42 = 11x - 2

11x = 44

x = 4

DE = 7x + 1

Put the value of x in above equation,

DE = 7 * 4  + 1

DE = 28 + 1

DE = 29

Thus, the required measure of the DE segment is 29.

( 10 )  JL = JK + KL

10x - 2 = ( 5x - 8 ) + ( 7x - 12 )

    2x = 18

  x = 9

∴KL = 7x - 12 = 7 * 9 - 12   ⇒63 - 12 = 51

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Answer: X = 2

Step-by-step explanation:

 2(2)+7 = 11 --> 9<11<15

Hope this helps you :)

[tex]cos(62) = \frac{ab}{cb} \\ ab = cb.cos(62) \\ ab = 12.cos(62) \approx5.6[/tex]

Answer:

[tex]\frac{1}{3}(x-15)[/tex]

Step-by-step explanation:

Answer:

x = 9

Step-by-step explanation:

 [tex]x- 15 = -6\\\\[/tex]

Add 15 to both sides to isolate the x.

[tex]x -15 +15 = -6 +15\\x = 9[/tex]

Answer:

X=9

Step-by-step explanation:

You must add 15 to both sides of the equal sign to cancel out the (-15). You add -6+15 which equals 9.

0.15% is the probability  value between 0 and 1 inclusive.

In statistics, what does a probability mean?

the fractional conversion of a percentage = % value /100

therefore the probability is 15/100 = 0.15%

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Answer:

p =12/7

Step-by-step explanation:

Answer:

p = 12/7

Step-by-step explanation:

7p - 4 = 8

    +4   +4

7p = 12

/        /

7       7

p = 12/7

Answer:

216 degrees

Step-by-step explanation:

2016/360= 5.6   drop the 5

  .6 x 360 = 216 °

Answer:

27, 36

Step-by-step explanation:

We can write the first number as 9n because it is a multiple of 9, and the second number will be 9(n + 1). We can write:

9n + 9(n + 1) = 63 because they have a sum of 63.

9n + 9n + 9 = 63

18n + 9 = 63

18n = 54

n = 3

This means that the first number is 9 * 3 = 27 and the second is 9 * (3 + 1) = 9 * 4 = 36.

On observing graph, we can conclude that the value of y when x = 7 is 5.

An expression, rule, or law in mathematics that establishes the relationship between an independent variable and a dependent variable (the dependent variable). Functions may be found everywhere in mathematics, and they are essential for building physical connections in the sciences.

An example of a rule is a function, which yields one output from a single input. The equation y=x2 serves as an example of this. There is only one output for y for every input for x. We would say that y is a function of x since x is the input value.

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Answer:

Step-by-step explanation:

Answer:D

Step-by-step explanation:

Enclosed x-1 moves the parabola to the right once, and the excluded -2 puts the parabola down 2.

Answer:

2/3s of 30

Step-by-step explanation:

2/3s of 30 is 10 and 1/5 of 25 is 5 and 10 is in fact larger than 5

If [tex]f(x)=0[/tex] at [tex]x=-11[/tex] and [tex]x=-13[/tex], then we can factorize

[tex]f(x) = ax^2 + bx + c = a (x + 11) (x + 13)[/tex]

Now,

[tex]f(x-9) = a((x-9)+11) ((x-9)+13) = a(x+2)(x+4)[/tex]

which means the zeros of [tex]f(x-9)[/tex] are [tex]x=-2[/tex] and [tex]x=-4[/tex].

The required solution for the coordinate and the slope of the line, 1. missing coordinate is 2. Slope of the line 9x + 2y = -7 is m = -9/2

Here,
1.
Standard equation of the line,
y = mx + c
From the given, we have m = -5 and a point (5,- 7)
Now,

-7 = -5 * 5 + c
c = -7 + 25
c = 18
equation become
y = -5x + 18
Now putting y = 3
3 = -5x + 18
-15 = -5x
x = 3
So the required missing coordinate is (3, 3)

2.
Slope of equation 9x + 2y = -7
9x + 2y = -7
y = -9/2 -7/2

The coefficient of x is the slope of the equation. So,
m = --9/2

Thus, the required solution for the following problem of the line,
1. missing coordinate is
2. Slope of the line 9x + 2y = -7 is m = -9/2.

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Answer:

5 Servings

Step-by-step explanation:

The answer is about 17 meters

We can use the Pythagorean theorem to put an upper bound on the height of the bump in the rail. This assumes half the expanded rail length (d+e) is the hypotenuse of a right triangle whose legs are the bump height (b) and the 2500 meter distance (d) from the center of the rail to its end.

The Pythagorean theorem relates these distances this way:

 b² + d² = (d+e)²

Expanding the square on the right, we can simplify the expression to find b.

 b² = (d²+2de +e²) -d²

 b² = e(2d +e)

 b = √(e(2d +e))

Using lengths in meters, we can fill this in to calculate b.

 b = √(.06(2·2500 +.06)) = √300.0036

 b ≈ 17.32 . . . . meters

We don't expect rails to tear loose from the rail bed and rise up to a height matching that of a 3-story building. That is why there are typically expansion joints and shorter rail lengths used in the construction of railways.

The height is a little lower if we take physics into account and distribute the stress in the rail along its length. No doubt the final curve is somewhat more complicated than the triangle we have assumed.

If it were an ellipse, the height might only be 9.4 meters, with the steepest rise occurring near the ends of the rail. The math for this model is beyond the scope of this answer.

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The range of m is 4 < m ≤ 6

The interval given is

3m - 3 ≤ m + 9 < 5 + 2m

So we have,

Here we have to find the range of m by separating two inequalities. Thus we get,

3m - 3≤ m + 9  and m + 9 < 5 + 2m

3m - m ≤ 9 + 3 and 2m - m > 9 - 5

2m ≤12   and m > 4

m ≤6 and m>4

So we get the range of m,

4 < m ≤ 6

Therefore we get the range of m as, 4 < m ≤ 6.

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Answer:

5:2

Step-by-step explanation:

A ratio is basically a fraction but horizontally for eg. this: 5:8! This question is asking us to find the ratio of the emails that Jamie received to the emails that she answered.

According to the question, Jamie got 20 emails and responds to 8 of them. The ratio would look like this: 20:8 (because a ratio is just a fraction but horizontal, doesn't mean that there will be mixed numbers!) but not this 8:20. Ratios have a specific order that they have to be in and that will vary depending on the question. If the question says to find the ratio of emails that Jamie responded to to the emails that she received, then in this case 8:20 would be correct.

For now, the answer is 20:8. However, we still need to simplify it by finding its lowest common factor (unless the question asks you to not simplify it, it's better to simplify the answer like a fraction). The lowest common factor would be 4 for 20 and 8. 4 goes in 20 5 times sand 4 goes into 8 2 times.

Your final answer should be: 5:2

If you have any further questions please ask!

Answer:

Eduardo will get $4.03

Step-by-step explanation:

To solve this problem, first add 4.99 and 0.98 together, remember to line up the decimals

4.99

+ 0.98

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

5.97

Now take 5.97 from 10.00

first you can't take 7 from 0 so you take 1 from the tens place making 10.00 into 9.9 10, now you can take 7 from 10 which equals 3. Into the tenths place you can take 9 from 9 which is a 0. Lastly 9 - 5 is 4, adding the decimal back you get

10.00

- 05.97

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

$ 4.03

The smallest interior angle of a triangle, produces largest exterior angle. Hence, measurement of the exterior largest angle is 359.47°

An angle is the figure formed by the two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle. Angles formed by the two rays lie in the plane that contains the rays. Angles are also formed by the intersection of the two planes. These are called the dihedral angles. Two intersecting curves may also define an angle, which is the angle of rays lying tangent to the respective curves at their point of intersection.

Angle is also used to designate the measure of an angle or of rotation. This measure is the ratio of length of a circular arc to its radius. In the case of a geometric angle, arc is centered at the vertex and delimited by the sides. In case of a rotation, the arc is centered at the center of the rotation and delimited by any other point and its image by the rotation.

We know that sum of all the angles of a triangle is equal to 180°

s°+(1/7s+3)°+(1/7s+30)°= 180°

[tex]s+\frac{22}{7}s+\frac{22}{7}s[/tex]= 180°

[tex]\frac{51}{7} s[/tex]=180°

s= 24.7°

both the similar angles =0.53°

Therefore, the largest external angle is:

360°-0.53° = 359.47°

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Width of the box is 8 inches and length is 11 inches.

Height of the box is 9 inches given

Length of the box is 3 inches more than the width.

Let the width be x then length = x+3

Volume of the box is = 792 (given)

Volume is the amount of space occupied by the any three dimensional figure. To find the volume of a box we simply multiply length width and height

Volume = length * width * height

792 = (x+3)*x*9

[tex](x^2+3x)*9=792\\9x^2+27x=792\\9x^2+27x-792=0[/tex]

Divide the above equation by 9 as 9 is the common factor

we get

[tex]x^2+3x-88=0[/tex]

now solve this equation by splitting the middle term we get,

[tex]x^2+11x-8x-88=0\\x(x+11)-8(x+11)=0\\(x+11)(x-8)=0\\x=-11,8[/tex]

width is always positive so we consider x = 8

Length = x+3 = 8+3 =11

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