PLS HELP 25 POINTS PLS
Match each fraction to its decimal equivalent.

5
11

0.14

7
50

0.
⁢
45
¯

7
9

0.91
⁢
6
¯

11
12

0.
⁢
7
¯

arrowBoth

arrowBoth

arrowBoth

arrowBoth

Reason:

If (x^2-c)/(x-b) = x+b, then we can rearrange things into this:

x^2-c = (x-b)(x+b)  = x^2-b^2

I'm using the difference of squares rule.

Comparing terms, we see that b^2 = c.

If b is an integer, then c is a perfect square.

Of the answer choices listed, only 4 is a perfect square.

Answer:

x = - \(\frac{1}{4}\)

Step-by-step explanation:

Given

6 + 4x = 7 ( subtract 6 from both sides )

4x = 1 ( divide both sides by 4 )

x = \(\frac{1}{4}\)

Answer:

x = 1/4

Step-by-step explanation:

6 +4x = 7

collect terms

4x = 7 - 6

4x = 1

Divide both sides by 4

x = 1/4

Bye ! :-)

There are 70 different types of pizzas could be ordered

A permutation is an act of arranging the objects or numbers in order.

Combinations are the way of selecting the objects or numbers from a group of objects or collection, in such a way that the order of the objects does not matter

Given,

Number of options on crust=2

Number of options on topping= 7

Number of options on size= 5

Therefore for each type of crust there are 7 different topping, for each toppings there are 5 different sizes

The total number ways of ordering pizza=2×7×5=70

Hence, there are 70 different types of pizzas could be ordered

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Answer: the common number is 8 for 151 and 152

Step-by-step explanation: hope this helps

rand() % 6 expression is most appropriate for randomly choosing a day of the week .

Rand generates random number and This number is produced using an algorithm that, each time it is run, outputs a string of numerical values that seem unrelated.

A % B generates the number less than or equal to the B.

Therefore , for randomly choosing a day of the week we can use  rand() % 6 as there are 7 days in a week and  rand() % 6 returns any number between 0 to 6 as Total 7 days.

The best statement for choosing a day of the week at random is rand()% 6.

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Answer:

a) (0,5)

b) (2, 9)

c) (10, -4)

d) (1,7)

Step-by-step explanation:

1) First choose an x value for your ordered pair. For answer a I choose "0".

2) Plug in your chosen value into the solution equation.

           F(0) = -(0)^2 + 5

                  = 5

3) The value that you get when you plug your x component into the solution equation is your y component!

(0,5)

The equation of a circle is written as

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

Where

h and k are the x and y coordinates of the center of the circle respectively

r = radius of circle.

from the information given, center = (- 4, 5)

Thus,

h = - 4, k = 5

Radius, r = 5

By substituting these values into the equation of the circle, it becomes

(x - - 4)^2 + (y - 5)^2 = 5^2

(x + 4)^2 + (y - 5)^2 = 25

The equation of the circle is

(x + 4)^2 + (y - 5)^2 = 25

Answer:

\(y=\frac{-7x}{5} -7\)

Step-by-step explanation:

\(7x+5y=-35\\5y=-35-7x\\y=\frac{-35-7x}{5} \\y=-7-\frac{7}{5} x\\\)

\(given \: \: \: x = 2 \: \: \: and \: \: \: \: y = 34 \\ {x}^{3} - {y}^{2} \\ = {(2)}^{3} - {(34)}^{2} \\ = 8 - 1156 \\ = - 1148\)

The value of given expression with x=2 and y=34 is -1148.

The given expression is \(x^3-y^2\).

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

Here, x=2 and y=34.

Substitute x=2 and y=34 in the given expression, we get

\(2^3-34^2\)

\(=8-1156\)

\(=-1148\)

Therefore, the value of given expression with x=2 and y=34 is -1148.

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Answer:

12x

Step-by-step explanation:

Answer: The answer Is y=12x

Step-by-step explanation:

slope= y2-y1/x2-x1

M = x/y = 2/24 = 12

Using the logarithm formula, we can solve the given equation and the nearest ten-thousandth solution is \(k=-0.7852\).

By the logarithm formulas, \(\log_a(a)=1\) whereas \(\log_b(m^n)=n\log_b(m)\).

Here, the given expression is \(4.5e^{7k+8}=55\) i.e., \(e^{7k+8}=\frac{55}{4.5}\).

Now, taking \(\log_e\) to both sides, we get:

\(\log_e(e^{7k+8})=\log_e(\frac{55}{4.5})\\\Longrightarrow (7k+8)\log_e(e)=\log_e(\frac{55}{4.5})\\\Longrightarrow 7k+8=\log_e(\frac{55}{4.5})\hspace{1cm} [\because \log_e(e)=1]\\\Longrightarrow k=\dfrac{\log_e(\frac{55}{4.5})-8}{7}\\\therefore k=-0.7852\)

Therefore, using the logarithm formula, we can solve the given equation and the nearest ten-thousandth solution is \(k=-0.7852\).

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Answer:

1, 3, 4, 5, 6

basically everything but two

Step-by-step explanation:

Considering the differential equation, the equilibrium solution y = 0 is considered unstable, and the equilibrium solution y = -2 is also classified as unstable.

To determine the stability of the equilibrium solutions, we can again analyze the sign of the derivative of the right-hand side of the differential equation when y is equal to the equilibrium values.

(a) For y = 0, substituting into the equation y' = y^2(y + 2)(y - 2) gives y' = 0^2(0 + 2)(0 - 2) = 0. This means that the derivative is zero at y = 0.

Since the derivative is zero at y = 0, it indicates that the solution is at equilibrium. However, the behavior of nearby solutions is important in determining stability.

For values of y slightly greater than 0, the expression y^2(y + 2)(y - 2) will be negative, indicating that nearby solutions will move away from the equilibrium. Similarly, for values of y slightly less than 0, the expression will also be negative.

Therefore, the equilibrium solution y = 0 is considered unstable because nearby solutions will diverge from this value over time.

(b) For y = -2, substituting into the equation y' = y^2(y + 2)(y - 2) gives y' = (-2)^2((-2) + 2)((-2) - 2) = 0. This means that the derivative is zero at y = -2.

However, for values of y slightly greater than -2 or slightly less than -2, the expression y^2(y + 2)(y - 2) will be positive, indicating that nearby solutions will move away from the equilibrium.

Therefore, the equilibrium solution y = -2 is considered unstable because nearby solutions will diverge from this value over time.

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Answer:

y = -3x + 17

Step-by-step explanation:

first, change the equation into slope-intercept form

add 'x' to each side to get:

3y + x = 12

divide each side by 3 to get:

y = 1/3x + 4

now we need to use a slope that is the opposite reciprocal of 1/3 which would be -3, in conjunction with the point (5,2), by entering these values into the slope-intercept form so we can find the y-intercept ('b') of the new line:

2 = -3(5) + b

2 = -15 + b

17 = b

put slope and y-intercept together to get:

y = -3x + 17

The length of the third side of the triangle given is 10 units.

Right angled triangle are those triangle for which one of the angle is 90 degrees.

For a right angled triangle, Pythagoras Theorem states that,

Hypotenuse² = Base² + Height²

Here, Base = 7 and Height = √51

Substituting these values,

Hypotenuse² = (7)² + (√51)²

                      = 49 + 51

                      = 100

Hypotenuse = √100 = 10

Hence the length of the missing side is 10.

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The 99% confidence interval for the true average price of a regular room with a king size bed in the resort community is $125.35 to $154.65.

To construct a 99% confidence interval for the true average price of a regular room with a king size bed in the resort community, we can use the sample mean and standard deviation.
Since the sample size is large (n = 19), we can assume that the sampling distribution of the sample mean is approximately normally distributed.
To calculate the margin of error, we need to find the critical value corresponding to a 99% confidence level. The critical value can be obtained from the z-table or by using a calculator. For a 99% confidence level, the critical value is approximately 2.576.
The margin of error is calculated by multiplying the critical value by the standard deviation divided by the square root of the sample size. In this case, the margin of error is (2.576 * 25) / √19 ≈ 14.65.

To construct the confidence interval, we subtract and add the margin of error from the sample mean. Therefore, the 99% confidence interval for the true average price of a regular room with a king size bed in the resort community is approximately $140 - $14.65 to $140 + $14.65, which is $125.35 to $154.65.

In summary, the 99% confidence interval for the true average price of a regular room with a king size bed in the resort community is $125.35 to $154.65.

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Answer:

81-11(7)

Step-by-step explanation:

Answer: The correct formula would be the 3rd option .5s + 4a = 15

Hope this helps!

’

Answer:

80000 square meters

Step-by-step explanation:

perimeter + dividing fence = 800

let a = length

let b = width

let c = length of dividing fence

perimeter = 2*a + 2*b

let's say...

c is the same as the length

2a + 2b + c = 800

2a + 2b + a = 800

3a + 2b = 800

area = length*width

area = a*b

area / b = a

3*(area/b) + 2b = 800

3*(area/b) = 800 - 2b

area/b = (800 - 2b)

area = (800 - 2b)*b

To make the area large, we make the right hand side large.

800b - 2b^2

If you put in terms of x, y it looks like a downward opening parabola, so the max area is at the vertex. Half way between the roots.

y = -2x^2 + 800x

y = -x^2 + 400x

0 = x*(-x + 400)

roots are x= 0 and x = 400

vertex is at x, aka b = 200

area at b=200 is (800 - 400)*200 = 80000

and a is area/b... 80000/400 = 200

Answer:

y + 1 = 3(x - 8)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b ) = (8, - 1 ) , then

y - (- 1) = 3(x - 8) , that is

y + 1 = 3(x - 8)

Answer:

its 7

Step-by-step explanation:

Answer:

(x1,y1)   is  (2,7)

    (x2,y2)   is  (0,1)

Step-by-step explanation:

Points:

    (x1,y1)   is  (2,7)

    (x2,y2)   is  (0,1)

Point-slope form is:

  (y-y1) = ( (y2-y1) / (x2-x1) )(x - x1)

   y - 7 =( (-6)/(0-2) )(x-2)

   y - 7 = 3x - 6

    y = 3x + 1    [slope-intercept form]

Check:

  Is  (2,7) on the line:

       7 = 3(2) + 1   ?

       y = 7   ?yes

  Is (0,1) on the line:

       1 = 3(0) + 1   ?

       1 = 1   ?yes

Answer:

105 = (5x-70)

Step-by-step explanation:

You are trying to find x so you would have to place that in to finally get to the end where x = 5

Answer: Is 86 your welcome have a nice labor day

Step-by-step explanation:

Answer:

Step-by-step explanation:

-2 + 3x  = 6wv

Add 2 to both sides

3x = 6wv + 2

Divide the entire equation by 3

\(\dfrac{3x}{3}=\dfrac{6wv+2}{3}\\\\\\x = \dfrac{6wv+2}{3}\)

Answer:

3603 minutes

Step-by-step explanation:

\(minutes=6(60)+\frac{180}{60} =3600+3=3603\)

Hope this helps

Answer: 420 legislators

Step-by-step explanation:

For this problem, we would have to multiply.

If Alabama has 140 legislators for 4 million people, we know the unit rate is:

\(140\) legislators for \(4\) million people.

So, we have to multiply 140 by 3 because 12 is 3 times the amount of 4, and the other state has 12 million people.

140 x 3 = 420

The answer to the question would be 420.

Answer:

420

Step-by-step explanation:

I set this up as a proportion of 140/4,000,000=x/12,000,000. Then you can cross multiply, getting 1,680,000,000=4,000,000x. Divide both sides by 4,000,000 and you get x=420. Please mark brainliest if this helped!

The delivery radius for a pizza restaurant in a town with a population density of 1200 people per square mile that wants to deliver to approximately 25,000 people is 2.6 miles.

To calculate the delivery radius, we can use the following formula:

Delivery radius = square root(population / density)

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In this case, the population is 25,000 and the density is 1200 people per square mile. So, the delivery radius is:

Delivery radius = square root(25,000 / 1200) = 2.6 miles

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This means that the pizza restaurant can deliver to approximately 25,000 people within a 2.6 mile radius of its location.

Here is another way to think about it. If we imagine a circle with a radius of 2.6 miles, then the area of that circle will be approximately 25,000 square miles. This means that the pizza restaurant can deliver to approximately 25,000 people within that circle.

It is important to note that this is just an estimate. The actual delivery radius may be slightly different depending on the terrain, traffic conditions, and other factors.

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The actual concentration of fine particulates at the school is 31.4 µg/m3 - 32.6 µg/m³.The correct answer is option B.

To estimate the actual concentration of fine particulates at the school with 99.7% confidence, we can use the concept of confidence intervals. The confidence interval represents a range within which we are confident the true population parameter lies.

In this case, since we have a sample average and the standard deviation of the sample measurements, we can construct the confidence interval using the formula:

Confidence Interval = Sample Average ± (Z * (Standard Deviation / √Sample Size))

The Z-value for a 99.7% confidence level is approximately 3. Therefore, plugging in the given values:

Confidence Interval = 32 ± (3 * (3 / √225))

Simplifying the equation:

Confidence Interval = 32 ± (3 * (3 / 15))

Confidence Interval = 32 ± 0.6

The resulting confidence interval is (31.4, 32.6) µg/m³.

Therefore, the correct answer is option B: 31.4 µg/m³ - 32.6 µg/m³. This means we can be 99.7% confident that the actual concentration of fine particulates at the school falls within this range based on the sample data collected.

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