Rewrite the equation 8x + 6x^2 -7=x^2 in standard form and identify a, b, and c.

The amount natalya will spend constructing the patio with concrete and brick is $4320, the correct option is D.

We are given that;

The concrete portion of the patio cost=$3 per square

To construct and the brick portion of the patio cost= $6 per square

Now,

The area of a rectangle is given by length times width. The concrete portion of the patio is a rectangle with length 6 cm and width 3 cm. Using the scale, we can convert these to feet:

6 cm = 6 x 4 ft = 24 ft 3 cm = 3 x 4 ft = 12 ft

Therefore, the area of the concrete portion is:

24 ft x 12 ft = 288 ft^2

The brick portion of the patio consists of two identical rectangles with lenth 3 cm and width 6 cm. Using the scale, we can convert these to feet:

3 cm = 3 x 4 ft = 12 ft 6 cm = 6 x 4 ft = 24 ft

Therefore, the area of one brick rectangle is:

12 ft x 24 ft = 288 ft^2

Since there are two brick rectangles, the total area of the brick portion is:

2 x 288 ft^2 = 576 ft^2

Now we can multiply the areas by their costs per square foot to get the costs of each portion:

Concrete cost = $3 x 288 ft^2 = $864 Brick cost = $6 x 576 ft^2 = $3456

The total cost of constructing the patio is the sum of the costs of each portion:

Total cost = $864 + $3456 = $4320

Therefore, by area the answer will be $4320.

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Answer:

yes can you help me please

Step-by-step explanation:

Answer:

my challenge is to get brainliest

make me brainliest pls

Step-by-step explanation:

:)

Answer:

Center ( -8, 1 )

Radius ( 13 )

Answer:

ok

Step-by-step explanation:

ok ok ok ok ok ok ok ok

Answer:

- 0.964

Step-by-step explanation:

Given that Coefficient of determination (R^2) = 0.93

Slope of regression line = - 5.26

The linear correlation Coefficient =?

The Coefficient of determination (R^2) is used to obtain the proportion of explained variance of the regression line. It is the square of the linear correlation Coefficient (R).

Hence. To obtain the linear correlation Coefficient (R) from the Coefficient of determination (R^2); we take the square root of R^2

Therefore,

R = √R^2

R = √0.93

R = 0.9643650

R = 0.964

However, since the value of the slope is negative, this depicts a negative relationship between the variables, hence R will also be negative ;

Therefore, R = - 0.964

The linear correlation coefficient of the data is: -0.96

Recall:

Thus, given:

Coefficient of determination of a set of data points = 0.93

Slope of the regression line = -5.26

Therefore:

R² = 0.93

R = √0.93

R = 0.96

Since the slope the regression line is negative, R will be negative in this case.

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Answer:

losing,losing,losing.

The lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

Upper and lower bounds are the maximum and minimum values that a number could have been before it was rounded. They can also be called limits of accuracy. The upper and lower bounds can be written using error intervals.

The lower bound for the 95% confidence interval can be calculated using the following formula:

Lower Bound = Percentage - (1.96 * Margin of Error)

In this case, the lower bound is calculated as:

Lower Bound = 38% - (1.96 * 2%) = 33.8%

Therefore, the lower bound for the 95% confidence interval for the percentage of voters that believe that the United States is losing the War is 33.8%.

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Step-by-step explanation:

7x×5x=140

35x²=140

x²= 4

x=2

Smaller number = 5x = 5×2=10

Hope this helps you.

The graph of y = x^2 should be translated by 1 unit to the right and 3 units up.

In Mathematics, the translation of a geometric figure to the right simply means adding a digit to the value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure that is translated upward simply means adding a digit to the value on the y-coordinate (y-axis) of the pre-image.

In Mathematics, a vertical translation to the positive y-direction (upward) is modeled by this mathematical expression g(x) = f(x) + N.

Where:

Therefore, we have the following:

f(x) = x^2

g(x) = f(x - 1) + N

g(x) = (x - 1)^2 + 3

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Answer:

She needs a "6" number of containers. A complete solution to the question is provided below.

Step-by-step explanation:

Answer:

The green box is -3

Step-by-step explanation:

You are reading from a graph, so it is more important perhaps, to pick clear points rather than easy to handle points.

The easiest two points you could use would be

(0,4)

(1, 1)

Slope

m = (y2 - y1)/(x2 - x1)

y2 = 4

y1 = 1

x2 = 0

x1 = 1

m = (4-1)/(0 -1)

m = 3/-1 = - 3

Y intercept

b = 4    from the point 0,4

Line

y = - 3x + 4

It will take approximately 28.67 years for Talwar's investment of R5,800 to grow to R26,100 at a simple interest rate of 12.2% per annum.

To calculate the number of years it will take for Talwar's investment to grow to R26,100 at a simple interest rate of 12.2% per annum, we can use the formula for simple interest:

Simple Interest = Principal × Rate × Time

Given that the principal (P) is R5,800, the rate (R) is 12.2% (or 0.122 as a decimal), and the desired amount (A) is R26,100, we need to find the time (T) it will take. Rearranging the formula, we get:

Time = (Amount - Principal) / (Principal × Rate)

Plugging in the values, we have:

Time = (R26,100 - R5,800) / (R5,800 × 0.122)

= R20,300 / R708.6

≈ 28.67 years

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Answer:

6

Step-by-step explanation:

The small right triangle at left is a 30-60-90 triangle.

x is the long leg, opposite the 60-deg angle.

The hypotenuse has length 4sqrt(3)

The ratio of the lengths of its sides is:

short leg   :   long leg  :   hypotenuse

     1          :     sqrt(3)    :           2

The short leg measures half the hypotenuse.

short leg = (1/2)4sqrt(3) = 2sqrt(3)

The long leg measures the short leg times sqrt(3)

long leg = 2sqrt(3) * sqrt(3)

long leg = 6

x = long leg = 6

Answer: 6

Answer:

the answer is false

Step-by-step explanation:

comment if you want explanation

Answer:

True

Step-by-step explanation:

When using the formulas to find the surface area, both have equal surface area

Answer:

MODE IS WHEN A NUMBER APPEARS MORE OFTEN IN A SET OF NUMBERS

Step-by-step explanation:

Example 2,3,8,6,5,3,4 , the mode is 3 because it appears more often

Have a great day

Based on the description provided, the section of the chart that represents the point where a bill is first debated in subcommittees is: C and D

In the given chart, the parallel lines represent the progression of a bill through various stages in the legislative process. The boxes on the top line represent one set of actions or steps, while the boxes on the bottom line represent another set of actions or steps.

Moving from left to right on the chart, the boxes A and B are paired, representing a particular stage in the process. Similarly, the boxes C and D are paired, indicating another stage in the process.

In the context of the question, the stage where a bill is first debated in subcommittees is represented by the boxes C and D.

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If f(x) has an inverse on [a, b], then integrating by parts (take u = f(x) and dv = dx), we can show

\(\displaystyle \int_a^b f(x) \, dx = b f(b) - a f(a) - \int_{f(a)}^{f(b)} f^{-1}(x) \, dx\)

Let \(f(x) = \sqrt{1 + x^3}\). Compute the inverse:

\(f\left(f^{-1}(x)\right) = \sqrt{1 + f^{-1}(x)^3} = x \implies f^{-1}(x) = \sqrt[3]{x^2-1}\)

and we immediately notice that \(f^{-1}(x+1)=\sqrt[3]{x^2+2x}\).

So, we can write the given integral as

\(\displaystyle \int_0^2 f^{-1}(x+1) + f(x) \, dx\)

Splitting up terms and replacing \(x \to x-1\) in the first integral, we get

\(\displaystyle \int_1^3 f^{-1}(x) \, dx + \int_0^2 f(x) \, dx = 2 f(2) - 0 f(0) = 2\times3+0\times1=\boxed{6}\)

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

the solutions to the equation have value of a=-4, b=1 and c=38.

In mathematics, factorization is the process of finding the factors of a given mathematical object, such as a number, polynomial, or matrix. Factors are objects that can be multiplied together to obtain the original object.

To solve the equation x² + 8x = 38 for x, we can use the following steps:

Move the constant term to the other side of the equation:

x² + 8x - 38 = 0

x=(-b±√b²-4ac)/2a

x=(-8±√64-4×1×(-38))/2×1

x=-4+√38

or x=-4-√38

On comparing with x= a+ b √c

x= a- b √c

value of a=-4

b=1

c=38

Therefore,  value of a=-4, b=1 and c=38.

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Given:

The radius of the inner circle = 12 yd

Width of the path = 6

One gallon of coating covered = 7

Find-: How many gallons of coating need.

Sol:

The radius of the path is:

So overall area is (area of a circle)

Radius of pool = 12

So the area of the pool is:

So the path area is:

If the one-gallon coating covered 7 then

So 81 gallons of coating need.

a) The initial height of the football at t = 0 is 2 feet.

b) The ball reaches its maximum height at approximately t = 2.05 seconds.

c) The maximum height of the ball is approximately 23.9 feet.

d) It takes approximately 4.579 seconds for the ball to hit the ground.

a) The initial height of the football at time t = 0 can be found by substituting t = 0 into the equation \(5t^2 + 20.5t + 2:h = -5(0)^2 + 20.5(0) + 2 = 0 + 0 + 2 = 2\)

Therefore, the initial height of the football is 2 feet.

b) To find the time at which the ball reaches its maximum height, we can observe the graph of the equation h = \(-5t^2 + 20.5t + 2.\) The maximum height corresponds to the vertex of the parabolic graph. The t-coordinate of the vertex can be calculated using the formula t = -b/2a, where a and b are the coefficients of the quadratic equation.

In this case, a = -5 and b = 20.5. Plugging these values into the formula, we get:

\(t = -20.5 / (2\times (-5)) = -20.5 / -10 = 2.05\)

Therefore, the ball reaches its maximum height at approximately t = 2.05 seconds.

c) The maximum height of the ball can be found by substituting the time t = 2.05 into the equation \(h = -5t^2 + 20.5t + 2:\)

h = -5(2.05)^2 + 20.5(2.05) + 2 ≈ -20.125 + 42.025 + 2 ≈ 23.9

Therefore, the maximum height of the ball is approximately 23.9 feet.

d) To find the time it takes for the ball to hit the ground, we need to determine when the height h becomes zero. We can set the equation \(-5t^2 + 20.5t + 2 = 0\) and solve for t.

This quadratic equation can be solved using factoring, the quadratic formula, or by graphing. The solutions are t ≈ -0.179 and t ≈ 4.579. Since time cannot be negative in this context, the ball takes approximately 4.579 seconds to hit the ground.

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The correct solution to the system of linear equations is (2,1)

To Identify the correct solution to the system of linear equations, we have to solve for the vlaues of x and y.

Since y = 2x - 3 and y = x - 1. We can say:

2x-3 = x-1

2x -x = -1 + 3

x = 2

put x = 2 into y = x-1. That is:

y = x-1

y = 2-1

y = 1

Thus, the solution is x = 2, y = 1, which can be written as (2, 1)

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Answer:

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

Apply the Triangle Inequality Theorem.

It states that:

We'll take the sum of two shortest sides and compare with the longest:

It confirms the theorem, without testing the other two sides (which is obvious) so the answer is yes.

The matching answer choice is e).

Answer:

$44.52 is the total bill, d = 11.13 × 4

One angle's measurement is 11 times that of another. if the two angles supplementary one another. The measure of the angles area one is 165° and other angle is 15°.

Given that,

One angle's measurement is 11 times that of another. if the two angles supplementary one another.

We have to determine the angles' measurements.

The word "supplementary" refers to two angles coming together to form a straight angle. It indicates that when two angles sum up to 180 degrees, they are said to be supplementary angles. If two angles complement one another

It has an acute angle on one side and an obtuse angle on the other.

The angles are both right angles.

So, It follows that A + B = 180°.

Angle A is 11 times angle B means

A=11B

We get,

11B+B=180

12B=180

B=180/12

B=15°

Then angle A is

A=11×15

A=165°

Therefore, The measure of the angles area one is 165° and other angle is 15°.

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Answer:

1/2

Step-by-step explanation:

Percent is out of 100. So another way you could right 50% is 50/100. Now, how much is 50 of one hundred? 50 is half of 100. Another way you could do this is that you see how both numbers are divisible by 50, so you do 50/100*50/50=1/2/ This works because 50/50 is basically 1 and anything multiplied by 1 is itself.

A textile fiber manufacturer is investigating a new drapery yarn which the company claims have a mean thread elongation of 12kg with a standard deviation of 0.5kg. the probability of observing a sample mean elongation of less than 11.5kg is approximately 0.0228

Generally, In order to answer this question, you need to know the shape of the distribution of the thread elongation of the new drapery yarn. If the thread elongation follows a normal distribution, then you can use a normal distribution to approximate the sampling distribution of the sample mean elongation.

If the null hypothesis is true, then the population mean elongation is 12kg and the standard deviation of the sampling distribution is

0.5/√(4) = 0.25kg.

Under these conditions, the probability of observing a sample mean elongation of less than 11.5kg is equal to the type I error probability.

You can use a normal distribution calculator or table to find this probability.

If the null hypothesis is true and the sample mean elongation is normally distributed with a mean 12kg and a standard deviation 0.25kg, then the probability of observing a sample mean elongation of less than 11.5kg is approximately 0.0228. This is the type I error probability.

Z score = x - μ/σ

= 11.5 - 12/0.25

= -2

P-value from Z-Table:

P(x<11.5) = 0.02275

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Answer:

27.5 square units

Step-by-step explanation:

1. Draw segment IL

We can find the area by combining the area of two different shapes.

Polygon area = triangle area + parallelogram area

Now you have a triangle with a height of 5 and a parallelogram with a height of 3.

The triangle and parallelogram both have a base of 5.

2. Triangle area (\(\frac{bh}{2}\)) is \(\frac{5*5}{2}\)=\(\frac{25}{2} =\) 12.5

3. Parallelogram area (multiply just like a triangle bh) = 5*3=15

Add up the two areas, 12.5 + 15 = 27.5

27.5 square units is the answer. (The fourth option from up to down.)

Hope this helps :)

Have a great day!

Answer:

Step-by-step explanation:

We know that:

Work:

Hence, the area of the shape is 27.5 units².