what is 3/4X + 2 = 3/8X​

\(\boxed{A}\\\\ U=5(2n+22)+2\left( n+\cfrac{3}{2} \right) \\\\\\ U=10n+110+2n+3 \implies U=12n+113 \\\\[-0.35em] ~\dotfill\\\\ \boxed{B}\hspace{5em}\textit{in 2009, that's 9 years after 2000, n = 9}\\\\ U(9)=12(9)+113\implies U(9)=221 ~~ millions\)

Answer:

2√2 units.

Step-by-step explanation:

To find the length of the line joining points A(3, 5) and B(1, 3), we can use the distance formula. The distance formula is given by:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Substituting the coordinates of points A and B into the formula, we have:

d = sqrt((1 - 3)^2 + (3 - 5)^2)

  = sqrt((-2)^2 + (-2)^2)

  = sqrt(4 + 4)

  = sqrt(8)

  = 2sqrt(2)

Therefore, the length of the line joining points A and B is 2√2 units.

Answer:

1.5

Step-by-step explanation:

1.47826086

rounded to the nearest tenth is 1.5

Step-by-step explanation:

to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)

to make sure the answer

substitute w = 14/9 and w = 4 to the equation.

if w = 14/9

\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)

we know that if we substitute w = 14/9, the answer is not the same.

if w = 4

\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)

if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4

Answer:

1) The factorized form of the polynomial is \((x-5)\cdot (x+2) = 0\).

2) The factorized form of the polynomial is \((x+6)\cdot (x-4) = 0\).

3)  \(r_{1} = -3\), \(r_{2} = -2\). (Option D)

4) \(r_{1} = -7\), \(r_{2} = 5\). (Option A)

Step-by-step explanation:

All exercise are case of factorization of second grade polynomials of the form \(x^{2} +(-r_{1} - r_{2})\cdot x + r_{1}\cdot r_{2}\), where \(r_{1}\) and \(r_{2}\) are the two roots of the polynomial. Now we proceed to solve each polynomial:

1) \(x^{2}-3\cdot x-10 = 0\)

In this case, the coefficients have the following characteristics:

\(-r_{1}-r_{2} = -3\)

\(r_{1}\cdot r_{2} = -10\)

The solution of this system of nonlinear equations is: \(r_{1} = 5\), \(r_{2} = -2\).

Then, the factorized form of the polynomial is:

\((x-5)\cdot (x+2) = 0\)

2) \(x^{2}+2\cdot x -24 = 0\)

In this case, the coefficients have the following characteristics:

\(-r_{1}-r_{2} = 2\)

\(r_{1}\cdot r_{2} = -24\)

The solution of this system of nonlinear equations is: \(r_{1} = -6\), \(r_{2} = 4\).

Then, the factorized form of the polynomial is:

\((x+6)\cdot (x-4) = 0\)

3) \(x^{2} + 5\cdot x +6 = 0\)

In this case, the coefficients have the following characteristics:

\(-r_{1}-r_{2} = 5\)

\(r_{1}\cdot r_{2} = 6\)

The solution of this system of nonlinear equations is: \(r_{1} = -3\), \(r_{2} = -2\).

Hence, the correct answer is D.

4) \(x^{2}+2\cdot x -35 = 0\)

In this case, the coefficients have the following characteristics:

\(-r_{1}-r_{2} = 2\)

\(r_{1}\cdot r_{2} = -35\)

The solution of this system of nonlinear equations is: \(r_{1} = -7\), \(r_{2} = 5\).

Hence, the correct answer is A.

Answer:

9 times

Step-by-step explanation:

Given

\(Number = 3355\)

Required

Determine how many times, the 3 on the left is greater than that on the right

\(Number = 3355\)

First, we need to determine the value of the three on the left

To get its value, we have to change all other digits to 0. This gives

\(Left\ 3 = 3000\)

Next, we need to determine the value of the three on the righy

Similarly, we have to change all other digits to 0. This gives

\(Right\ 3 = 0300\)

\(Right\ 3 = 300\)

Next, we calculate the positive difference between these two values and divide by the value of the Right 3

\(Result = \frac{Left\ 3 - Right\ 3}{Right\ 3}\)

\(Result= \frac{3000 - 300}{300}\)

\(Result= \frac{2700}{300}\)

\(Result = 9\)

Hence, the left 3 is 9 times greater than the right 3

The volume of the cylinder would be 2120.6\(units^3.\)

To find the volume of a cylinder, you need to use the formula:

Volume = π x \(radius^2\) x height

Where π (pi) is a mathematical constant approximately equal to 3.14159, radius is the distance from the center of the cylinder to its edge, and height is the distance from one end of the cylinder to the other.

To apply this formula, you need to know the values of the radius and height of the cylinder. Once you have these values, simply substitute them into the formula and solve for the volume.

For example, if the radius of a cylinder is 5 units and the height is 27 units, the volume of the cylinder would be:

Volume = π x \(radius^2\)x height

Volume = 3.14159 x\(5^2\)x 27

Volume = 2120.6 \(units^3\)

Therefore, the volume of the cylinder would be 2120.6\(units^3.\)

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Answer:

c 13 over 12

Step-by-step explanation:

it help I makeit

The equation does not hold true, the ordered pair (3, 10) is not a solution of the equation y = 2x + 6.In this way, we can determine whether an ordered pair is a solution of the given equation or not.

Given the equation y = 2x + 6To determine if an ordered pair is a solution of this equation or not, substitute the values of x and y in the equation. If the equation holds true, then the ordered pair is a solution.

If it is not true, then the ordered pair is not a solution.For example, let's consider the ordered pair (1, 8).

Here, x = 1 and y = 8.Substituting these values in the given equation,

we get: y = 2x + 6 => 8 = 2(1) + 6 => 8 = 8 Since the equation holds true,

the ordered pair (1, 8) is a solution of the equation y = 2x + 6.

Now, let's consider another ordered pair, say (3, 10). Here, x = 3 and y = 10.Substituting these values in the given equation, we get: y = 2x + 6 => 10 = 2(3) + 6 => 10 = 12

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Answer:

  -4

Step-by-step explanation:

You want the value of (f·g)(-1) when f(x) = x² +3x and g(x) = 2x².

The product of the functions is the product of their values for each value of x.

  (f·g)(-1) = f(-1)·g(-1) = ((-1)² +3(-1)) × (2(-1)²) = (1-3)(2·1) = (-2)(2)

  (f·g)(-1) = -4

Answer:

  76 units

Step-by-step explanation:

You want the length of AC in the given triangular pyramid.

The Pythagorean theorem can be used to find the lengths of AD and CD.

  AD² + 40² = 41²

  AD² = 41² -40² = 81 . . . . . = 9²

and

  CD² +40² = 85²

  CD² = 85² -40² = 5625 . . . . . = 75²

It can also be used to find AC:

  AD² + CD² = AC²

  81 + 5625 = AC²

  AC = √5706 = 3√634 ≈ 76

The length of side AC is about 76 units.

__

Additional comment

The Pythagorean theorem tells you the square of the hypotenuse is the sum of the squares of the legs of a right triangle.

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Answer:

See below

Step-by-step explanation:

For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.

Answer:

First Person

Step-by-step explanation:

hope it help

brainliest moko HAHA

Answer

\(\pink\sf{y=-1}\)

Step-by-step explanation

I'm assuming that this exercise is asking us to simplify the equation \(\sf{y=0.5(6)-4}\).

We know that 0.5 (6) means 0.5 multiplied by 6. That is the same as 6 divided by 2, which is 3:

\(\sf{y=3-4}\)

And now we just simplify the last part:

\(\sf{y=-1}\)

∴ answer: y = -1

1. we have to find what number lie at A and B , and that too between and 1 and 2 , so these two numbers must be decimal numbers!! So let's find the number of scales between 1 and 2 , we get 8 scales !! So the question is how much place 1 scale will occupy ?? we have to find certain numbers between 1 and 2 , suppose between 1 and 2 we have 1 unit and those 1 unit occupies 8 scales !! so much place 1 scale occupies ?? to get it divide 1 by 8 and we get 0.125 !! so between 1 and 2 ,each blank space or scale occupies 0.125 unit!! now what numbers lie at A ? count the number of scale between 1 and A , we get 3 scales ! now multiply 3 by 0.125 , we get 0.375 , add 1 to 0.375 , we get 1.375 !! hence 1.375 lies at A ! now we have to find which number lies at B ? count the number of blanks or scale , we get 4 ! multiply 4 by 0.125 and we get 0.5 ! add this 0.5 to 1 , we get 1.5 ! therefore the number 1.5 lies at B !!

2. for 2nd number solution refer to the attachment! !

Answer: 44

Step-by-step explanation: Since 11 members are equal to 25% of the club, 11 members is 1/4 of the club because 25% = 1/4. There are four-fourths in a whole so 11x4 = 44 members. The ski club has 44 members.

The shaded region of the rectangle is 242.9 cm² and the shaded region of the sector is 7.1 square units.

Question 17) is a figure of a rectangle and two inscribed circles.

The area of a rectangle is expressed as: A = length × width

The area of a circle is expressed as: A = πr²

Where r is the radius.

To determine the area of the shaded region, we simply subtract the areas of the two circles from the area of the rectangle.

Area = ( Length × width ) - 2( πr² )

Area = ( 40 × 10 ) - 2( π × 5² )

Area = ( 400 ) - 2( 25π )

Area = 400- 50π

Area = 242.9 cm²

Area of the shaded region is 242.9 squared centimeters.

Question 18) is the a figure a sector of a circle and a right triangle.

The area of a sector is expressed as: A = (θ/360º) × πr²

The area of a triangle  is expressed as: A = 1/2 × base × height

To determine the area of the shaded region, we simply subtract the areas of the triangle from the area of the sector.

Hence:

Area = ( (θ/360º) × πr² ) - ( 1/2 × base × height )

Plug in the values:

Area = ( (90/360º) × π × 5² ) - ( 1/2 × 5 × 5 )

Area = 25π/4 - 12.5

Area = 7.1

Therefore, the area of the shaded region is 7.1 square units.

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Answer:

x-3 and y=2

Step-by-step explanation:

Answer: \(x=\frac{8\sqrt{3}}{3}, y=\frac{16\sqrt{3}}{3}\)

The constant that can be added to \(x^2\) - 3x to form a perfect square trinomial is \(2\frac{1}{4}\)

The given expression is

\(x^2\) - 3x

To form a perfect square trinomial

\((a-b)^2 =a^2-2ab+b^2\)

The given expression is

\(x^2\) - 3x

first we have to add a constant term with it

\(x^2\) - 3x + z

By comparing the given expression and the perfect square trinomial

\(a^2 =x^2\)

a = x

Similarly

-2ab = 3x

where know a =x

Then,

-2b = 3

b = -3/2

Similarly

\(b^2 = z\)

\((\frac{-3}{2})^2\) = z

9/4 = z

Convert the simple fraction to mixed fraction

9/4 = \(2\frac{1}{4}\)

Hence, the constant that can be added to \(x^2\) - 3x to form a perfect square trinomial is \(2\frac{1}{4}\)

The complete question is :

Which of the following constants can be added to x2 - 3x to form a perfect square trinomial?

\(1\frac{1}{2},2\frac{1}{4}\) and \(4\frac{1}{2}\)

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Answer:

.01 + .3 = 0.31

Step-by-step explanation:

The sentence that correctly uses commas to separate coordinate adjectives is D. Shannon signed up for the challenging, writing course at the local, community college.

Words that describe or provide details about a noun are called adjectives. Two or more adjectives are referred to as coordinate adjectives when they are used to describe the same noun. 'And' or a comma are used to separate them every time.  These must be properly used, else a reader can mistake adjectives for a single modifier rather than a pair of coordinates.

The comma should be placed between any two or more adjectives that equally modify the same noun, and their order doesn't have to change the meaning, according to the guideline for using commas to separate coordinate adjectives in sentences. Option D includes the coordinate adjectives "challenging" and "writing" that equally modify the noun "course," as well as the coordinating adjectives "local" and "community" that equally modify the noun "college."

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The required rates are: Unit rate of graph K = 3, Unit rate of graph P = 0.5, and Unit rate of graph F = 1. The order from lower to greater is Graph P, graph F, graph K

Step 1: As we know that Unit Rate

Step 2: Notice that the in graph K line passes through the point (1,3)

Step 3: (1,3)

It means the value of function is 3 when x= 1

Step 4: So the unit rate of graph K is, 3/1

Step 5: Simplify the expression.

3/1 = 3

Step 6: Similarly we can see that the graph P have the point (2, 1)

Step 7: So the unit rate of graph P will be 1/2

Step 8: Simplify the expression.

1/2 = 0.5

Step 9: The graph F have point (1, 1) so it have unit rate of 1/1

Step 10: Simplify the expression.

1/1 = 1

Step 11: So we have unit rate of graph K = 3, F= 1 and graph P = 0.5

Step 12: Putting them in least to greater order as,

0.5, 1, 3

It follows that;

graph P, graph F, graph K

Therefore, the required answer is,

Unit rate of graph K = 3

Unit rate of graph P = 0.5

Unit rate of graph F = 1

And the order from lower to greater is, Graph P, graph F, graph K

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Step-by-step explanation:

xz = 10

XY = 26

let ZY = x

xyz is a right angle triangle

XY^2 = xz^2 + zy^2

26^2 = 10^2 + x^2

676 = 100 +x^2

√576 = x^2

x = 24

hence ZY = 24

Answer:

42.5 inches

Step-by-step explanation:

Ivan is 75 inches tall, and Logan would be half his size, 37.5 that is, if he were 5 inches shorter. That means logan is 42.5 inches.

Answer:

Logan is 42.5 inches

Step-by-step explanation:

half of Ivan is 37.5

Logan is 5 inches taller than 37.5 so 42.5

Hope this helps!

Let me know if it does and if the answer is right

The graph of the given function is attached.

Given is a function for the rainfall in 5 months in inches.

We need to display the data,

So, as we can see that the data is not showing any proportion or pattern,

So, it can be displayed as a line chart.

Hence the chart is attached for the function.

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Step-by-step explanation:

Use segment addition:

TU + UV = TV

2 + UV = 8

UV = 6

The average distance from the mean is 0.09.

The mean is also known as the average and is calculated by adding up all the values in the set and then dividing the sum by the total number of values.

So, for the given set of data: 24.49, 24.68, 24.77, 24.83, 24.73, the mean would be calculated as follows:

Mean = (24.49 + 24.68 + 24.77 + 24.83 + 24.73) / 5

= 24.70

It tells us what the typical value is within the data set. In this case, the mean value of the data set is 24.70.

Next, let's find the median of the set of data. The median is the middle value of a data set when it is arranged in numerical order. In this case, the data set is already arranged in numerical order, so we can easily find the median.

The median value of the data set is the middle value, which is 24.77.

Now, we will calculate the deviation from the mean for each data point within the set. The deviation from the mean tells us how far each value is from the mean value. This is calculated by subtracting the mean from each value in the set.

Deviation from the mean for each data point:

-0.21, -0.02, 0.07, 0.13, 0.03

As you can see, some values are above the mean, and some are below the mean. The deviation from the mean can be used to determine how spread out the data is from the mean value.

Finally, we will calculate the mean deviation for the set. The mean deviation is the average of the absolute values of the deviation from the mean.

Mean deviation = (|(-0.21)| + |(-0.02)| + |0.07| + |0.13| + |0.03|) / 5

= 0.09

The mean deviation tells us the average distance from the mean value.

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Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

Answer:

48.3 cm²

Step-by-step explanation:

Let A be the area of the yellow region

A= the area of the square - the area of the quarter square

A= 15²-(15²*π)/4= 48.28≈ 48.3 cm²