2x^2+1=9
find x please!!! will give brainliest

The width of the concrete path is 0.65 m.

The width of the concrete path is calculated as follows;

let the width of the concrete path = x

The dimensions of the shed with the path around it is determined as;

2x + 4  by 2x + 2

The equation for the area of this path becomes;

(2x + 4)(2x + 2)  - (4 x 2) = 9.5

4x² + 4x + 8x + 8 - 8 = 9.5

4x² + 12x = 9.5

4x² + 12x - 9.5 = 0

solve the quadratic equation using formula method;

a = 4, b = 12, and c = -9.5.

The solution becomes, x = 0.65 m or - 3.65

We will take the positive dimension, x = 0.65 m

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The average rate of change from year 2 to year 10 is approximately 6.9 inches per year.

Let's first calculate the height at year 2 and year 10 using the given function:

For year 2:

r = 2

h = -0.2 + 6.9 * 2 + 16

h = -0.2 + 13.8 + 16

h = 29.6 inches

For year 10:

r = 10

h = -0.2 + 6.9 * 10 + 16

h = -0.2 + 69 + 16

h = 84.8 inches

Average rate of change = (Change in height) / (Change in time)

Change in height = h(year 10) - h(year 2) = 84.8 - 29.6 = 55.2 inches

Change in time = year 10 - year 2 = 10 - 2 = 8 years

Average rate of change = (55.2 inches) / (8 years)

Average rate of change ≈ 6.9 inches per year

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Answer:

As time increases water decreases

The probability of at least one of your 10 lottery tickets being a winner is approximately 0.638 or 63.8%.

The probability of winning on a single lottery ticket is 1/8, which means that the probability of not winning is 7/8. If you buy 10 of these lottery tickets, the probability of not winning on any of them is:

(7/8)^10 = 0.362

This means that there is a 36.2% chance that none of your tickets will be a winner. To find the probability that at least one of your tickets will be a winner, we can use the complementary probability:

P(at least one winner) = 1 - P(no winners)

P(at least one winner) = 1 - 0.362

P(at least one winner) = 0.638

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Avery collects data about the value of a collectible baseball card over time and the residuals for the data is -1

It is given to us that f(x) = 3x² - 7x + 10

new values (x, y) is (0, 9)

residual = predicted value - tensed value

a) when x = 0, then

predicted values of y = 9 and the tensed value of y = 3 x 0 - 7 x 0

y = 10

therefore, residual values = 9 - 10 = -1

b) For x = 1

predicted values of y = 7 and the tensed value of y = 3(1)² - 7 x 1 + 10 = 6

residual values of y = 7 - 6 = 1

For x = 2

predicted values of y = 10 and the tensed value of y = 3(2)² - 7 x 2 + 10

= 12 - 14 + 10 = 8

residual values of y = 10 - 8 = 2

For x = 3

predicted values of y = 12 and the tensed value of y = 3(3)² - 7 x 3 + 10

= 27 - 21 + 10 = 16

residual values of y = 12 - 16 = -4

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Given:

The parallel sides of a trapezium are 28.7 cm and 22.3 cm.

The distance between parallel sides is 16 cm.

To find:

The area of a trapezium.

Solution:

The area of the trapezium is:

\(A=\dfrac{a+b}{2}h\)

Where, \(a,b\) are parallel sides and \(h\) is the vertical distance between the parallel sides.

Putting \(a=28.7, b=22.3,h=16\) in the above formula, we get

\(A=\dfrac{28.7+22.3}{2}\times(16)\)

\(A=\dfrac{51}{2}\times 16\)

\(A=51\times 8\)

\(A=408\)

Therefore, the area of the trapezium is 408 square cm.

Answer:

85.4567

Step-by-step explanation:

Its the circle of life yeah yeah and it moves us all.

Answer:

24 units²

Step-by-step explanation:

4(12)/2=24

Answer:

555

Step-by-step explanation:

a. The probability of exactly 4 successes is approximately 0.2967.

b. The probability of 5 or more successes is approximately 0.5332.

c. The probability of exactly 6 successes is approximately 0.1399.

d. The expected value of the random variable is 3.96

To solve these problems, we'll use the binomial probability formula:

P(X = k) = C(n, k)× \(p^{k}\)× \((1-p)^{(n-k)}\)

where:

P(X = k) is the probability of getting exactly k successes,

n is the sample size,

p is the probability of success,

C(n, k) is the number of combinations of n items taken k at a time.

Now let's solve each part of the problem:

a. The probability of exactly 4 successes:

P(X = 4) = C(6, 4) × (0.66)⁴ × (1 - 0.66)⁽⁶⁻⁴⁾

C(6, 4) = 6! / (4! × (6 - 4)!) = 6! / (4! × 2!) = (6 × 5) / (2 × 1) = 15

P(X = 4) = 15 × (0.66)⁴ × (0.34)² ≈ 0.2967 (rounded to four decimal places)

b. The probability of 5 or more successes:

P(X ≥ 5) = P(X = 5) + P(X = 6)

P(X = 5) = C(6, 5) × (0.66)⁵ × (1 - 0.66)⁽⁶⁻⁵⁾ = 6 × (0.66)⁵ × (0.34)¹ ≈ 0.3933

P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶× (0.34)⁰ = 0.1399

P(X ≥ 5) = P(X = 5) + P(X = 6) = 0.3933 + 0.1399 ≈ 0.5332 (rounded to four decimal places)

c. The probability of exactly 6 successes:

P(X = 6) = C(6, 6) × (0.66)⁶ × (1 - 0.66)⁽⁶⁻⁶⁾ = 1 × (0.66)⁶ × (0.34)⁰= 0.1399

d. The expected value of the random variable:

The expected value (mean) of a binomial distribution is given by:

E(X) = n × p

E(X) = 6 × 0.66 = 3.96

Therefore:

a. The probability of exactly 4 successes is approximately 0.2967.

b. The probability of 5 or more successes is approximately 0.5332.

c. The probability of exactly 6 successes is approximately 0.1399.

d. The expected value of the random variable is 3.96

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The  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

The formula for calculating the volume of a prism is expressed as

V = lwh

l is the length

w is the width

h is the height

Given the following

l =4x + 0.5

w = 1/2x

h = x - 2

Find the volume

V(x) = (4x+ 0.5)(0.5x)(x - 2)

Hence the  volume of the following rectangular prism in terms of x is 4x+ 0.5)(0.5x)(x - 2)

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The domain of the relation in the graph is:

{-2, -1, 0, 2, 5}

A relation maps elements from one set (the domain) into elements from another set (the range).

Such that the domain is represented in the horizontal axis.

In the graph, we can see the points:

{(-2, -3), (-1, -1), (0, 3), (2, 1), (5, 2)}

The domain is the set of the first values of these points, then the domain is:

{-2, -1, 0, 2, 5}

The correct option is the first one.

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Twice means two times

18.9 - 2x = 9.9

18.9 -18.9 -2x=9.9 - 18.9

-2x=9.9 - 18.9

(-2x= -9) divide both sides by negative two

-2x/-2 = -9/-2

x=4.5

Answer:

1022

Step-by-step explanation:

360+600+12+45+9=1022

A condition that is impossible to satisfy has no solution.

Mathematics can be a powerful tool for solving many problems, but there are some issues that can't be solved.

In particular, any condition that is impossible to satisfy, such as the logical statement ‘this statement is false’, has no solution in mathematics. This is because the statement can’t be proven true or false, and so it can’t be solved.

An unsolvable condition is one that cannot be solved using any combination of logical and mathematical steps.

This means that no matter how much time and effort is put in, a solution to the problem cannot be discovered.

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Answer:

No, No, Yes, No, Yes, Yes

Step-by-step explanation:

A graph is a function if it passes the vertical line test (in other words, every vertical line that can be drawn intersects the graph at no more than one point).

This is because for a function, each input must map onto no more than one output.

The required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.

Given that,
A slice of pizza supplies 217 kcal (217 cal). if a person weighing 140 lb expends 80 kcal per mile when walking at 2.0 miles per hour.

here,
1 mile = 80 kcal used,
1 kcal used = 1/80 mile
217 kcal used = 217/80 mile = 2.71 miles
Now,
2 miles = 1 hour,
2.71 miles = 2.71/2 hours
2.71 miles = 1.36 hours

Thus, the required time consumed to burn the calories gained from the slice of pizza is 1.36 hr.

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From the given information provided, the area of the shaded region inside the circle is 22.58

The area of a triangle is defined as the total space occupied by the three sides of a triangle in a 2-dimensional plane.

The space enclosed by the sector of a circle is called the area of the sector.

the radius of the circle is 5cm.

area of arc =  radius² × θ/2

area of the arc is =  5² × 4π/9 = 25 × 4/9 = 34.88

area of the triangle inside circle = a×b × sin(y)/2

area of triangle = 5×5 × sin(80°)/2 = 25 × 0.492

area = 12.3

area of the shaded region is = 34.88 - 12.3 = 22.58

Hence, the area of the shaded region is 22.58

Question - Find the area of the shaded region in the circle if the angle of the arc is 80 degree radius is 5cm.

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Answer:

Is it 5/8

Step-by-step explanation:

Because there are 7 shapes in total and are 5 blue shapes so the probablit that a blue shape is to get picked is 5 out of 7

Step-by-step explanation:

1st draw

Probability of drawing a blue card = ⅝

2nd draw

Probability of drawing another blue card = 4/8= ½

(Remember a blue card has already been drawn)

Probability of drawing two blue cards = ⅝ × ½

= 5/16

Number that belongs in the green box = 5

Pls mark my answer as brainliest

Answer:

Step-by-step explanation:

The fourth image because when looking for liner equations if you draw a line through them and it only touches once its linear equation!

sorry if im wrong...  

Answer:

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

Step-by-step explanation:

Step(i):-

Given that x =3 and y=-4

i)  (x -y) -y = (3-(-4))-(-4) = 3+4+4 = 11

ii) (x+y) + x² = ( 3 -4) + (3)² = -1 + 9 = 8

Step(ii):-

Given equation  

                    x² + y² = 25

we can choose (x,y) = ( 3 , -4)

                 3²+(-4)² = 25

                     25    = 25

The ordered pair ( 3,-4) satisfies the equation

second ordered pair ( 3 ,4)

                        x² + y² = 25

                       9 + 16 = 25

                           25 = 25

Final answer:-

i)  (x -y) -y  = 11

ii) (x+y) + x² = 8

iii) The two pairs (( 3 , -4)) and ( ( 3 ,4) satisfy the equation   x² + y² = 25

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Because

The slope of the line is given as -2/3.

We are also given the point (1, 1) in which this line passes through.

Before we can plot the graph of the line, we need to know the equation of the line first.

The values given are more than enough to find the equation of the line.

The formula used to get the equation of the line is given below:

Now, with this formula, let us find the equation of the line.

Thus, the equation of the line is:

Now, using a graph calculator, let us plot this equation.

After doing this, the following is the result:

Answer:

x<2

Step-by-step explanation:

If the given function is f '(t) = 20/1 + t², the value of the function f will be 20 tant+C.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

It is given that the function is,f '(t) = 20/1 + t² f(1) = 0

In order to find f integrate the function,

\(\rm f = \int \frac{20}{1+t^2}dt \\\\ f =20\cdot \int \frac{1}{1+t^2}dt \\\\ f =20\tan \left(t\right) \\\\ f =20\tan \left(t\right)+C\)

f(1) = 0

0=20 tan(1)+C

0=20(1.55)+C

C= -31

Thus, if the given function is f '(t) = 20/1 + t², the value of the function f will be 20 tant+C.

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The art gallery will expect 1200 visitors when it opens for 10 days.

Given that an art gallery opens for 2 days and receives 240 visitors. Assuming this situation represents a proportional relationship, the art gallery will expect 1200 visitors when it opens for 10 days. How to find the expected number of visitors?

When we have a proportional relationship, we use ratios to solve for missing information. To find the expected number of visitors when the gallery opens for 10 days, we can set up a proportion using the given information. Let x be the expected number of visitors when the gallery opens for 10 days.

Then, we have : 2 days / 240 visitors = 10 days / x visitors Cross-multiply the proportion: 2x = 2400 Divide both sides by 2:x = 1200

Therefore, the art gallery will expect 1200 visitors when it opens for 10 days. Hence, the correct option is (A).

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\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (5000)(0.05)(3) \implies I = 750\)

The length of 175 metres and width of 87.5 metres will maximise the area 15312.5 square metres.

We have been given that Farmer Ed has 350 metres of fencing and wants to enclose a rectangle mat plot that borders on a river. Farmer Ed does not fence the side along the river.  

First of all we will make a relevant figure to represent the perimeter of fencing for 3 sides as shown in the attachment.

Since Ed will not fence the side along the river, fencing is needed for 3 sides and the perimeter of the fencing would be x + x + y = 2x + y.

Now we will equate perimeter with 350 as: 2x + y = 350

y=350-2x

We know that the area of the rectangle is width times length.

A = X•Y

Upon substituting the value of y in area equation, we will get:

A = x•(350-2x)

A(x) = 350x -2x²

Now we will find derivative of area function as:

A'(x) = d(350- 2)/dx

A'(x) = 350-4x

Now we will equate derivative with 0 and solve for x as:

0 = 350-4

4x = 350

x = 350/4 - 87.5

Upon substituting x = 87.5 in equation y = 350-2x, we will get:

y = 350 - 2x

 = 350 - 2(87.5)

 = 350-175

y = 175

Therefore, the length of 175 metres and width of 87.5 metres will maximise the area.

on substituting x = 87.5 in area function, we will get:

A(87.5) = 350(87.5)-2(87.5)²

A(87.5) = 30625-2(7656.25)

A(87.5) = 30625-15312.5

A(87.5)= 15312.5

Therefore, the largest possible area enclosed would be 15312.5 square metres.

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—--------- CORRECT QUESTION FORMAT IS GIVEN BELOW —----------

(Q).

Farmer Ed has 350 meters of fencing and wants to enclose a rectangle mat plot that borders on a river. If farmer Ed does not fence the side along the river find the length and width of the plot that will maximize the area. What is the largest area that can be enclosed ?

Answer:

-21

Step-by-step explanation:

mn/p - n

= 4×9/(-3) - 9

= -36/3 - 9

= -12 - 9

= -21

Answer:

448 miles

Step-by-step explanation:

If 5 hours = 320 miles

then 7 hours = ?

7 hours will give more so if more less divide

7hours ÷5hours × 320 miles

hours will cancel out

= 7÷5×320 miles

= 448 miles

Hence,Carla will travel 448 miles in 7 hours