2m - 3 = 13
what is the answer?

Answer:

(x²)² + 2(9)x² + 9²

(x² + 9)²

Step-by-step explanation:

Given expression in the question is,

(x⁴ + 18x²+ 81)

We have to factorize this expression.

We know the formula of (a + b)² = a² + 2ab + b²

Comparing this formula with the given expression,

a = x²

b = 9²

By substituting these values in the given formula,

Therefore, (x⁴ + 18x²+ 81) = (x²)² + 2(9)x² + 9²

                                         = (x² + 9)²

Answer:

76.13

Step-by-step explanation:

27.5 square feet is trapezoid

16 square feet is parallelogram.

1.75*(27.5+16)

We need to know about linear equation to solve the problem. The number of bottles of juice he purchased for the team is 4.

Linear equation is an equation where there is only one independent variable. In the given question we know that the total amount spent is $41 and we know the various relations between the different drinks that were bought. Let us consider the number of bottles of juice to be x.It is said that the number of Gatorade bottles is twice as many juice bottles so we can say number of Gatorade bottles is 2x. It is said that the number of water bottles is two more than number of juice bottles so we can say x+2. We also know the cost of the bottles purchased.

2x x 3+(x+2)x1.50+2x=41

6x+1.5x+3+2x=41

9.5x+3=41

9.5x=38

x=4

Therefore the number of juice bottles purchased is 4.

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Answer:

(-10, -8), third quadrant

Step-by-step explanation:

8 down from (0, 0) is the same as subtracting 8 from the y coordinate → (0, -8). 10 left from (0, -8) is the same as subtracting 10 from the x coordinate → (-10, -8). You would be in the third quadrant where both coordinates are negative.

Hope this helps!

Therefore , the solution of the given problem of percentage comes out to be 38 years old is the median age.

In statistics, a "a%" is a figure or statistic that is expressed as a percentage of 100. The words "pct," "pct," but instead "pc" are also not frequently used. However, the sign "%" is frequently used to represent it. The percentage sum is flat; there are no dimensions. Percentages are truly integers because their numerator almost always equals 100. Either the % symbol (%) or the additional term "fraction" must come before a number to denote that it is a percentage.

Here,

The following algorithm must be used to determine the mean age:

=> mean = (all years added together) / (total number of persons)

The representative age for each age group is the age that falls in the middle of the range. With this approach, we can determine the total age as follows:

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

=> 162 + 644 + 924 + 2970 + 4636 + 2688 + 1152 + 1520 + 272.25

=>18(9) + 23(28) + 28(33) + 33(90) + 38(122) + 56(48) + 48(24) + 76(20) + 1089(0.25)

According to the information provided, there are 460 people in total.

=> mean = 17745.25 / 460

=> mean = 17745.25 / 460

As a result, the average lifespan is roughly 38.552 years.

The age category in this instance with the highest frequency has a midpoint of 38 and a frequency of 122. As a result, 38 years old is the median age.

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Answer:

Step-by-step explanation:

Answer:

Translate figure X \(\left[\begin{array}{ccc}1\\0\\\end{array}\right]\), reflect figure X in the y-axis to give figure Y.

Step-by-step explanation:

It is very clear that shape X is being reflected in the y-axis to give shape Y. However, when reflecting shape X, it doesn't perfectly align with Y (it is off by 1 square).

So, we need to move shape X by 1 square so that when reflected in y-axis, it will align perfectly with shape Y. We can do this using a translation. We can see that if we move shape X one square to the right and no squares up or down, it will be reflected to give shape Y in the y-axis.

This leaves us with the column vector \(\left[\begin{array}{ccc}1\\0\\\end{array}\right]\). And our final step is to write about the reflection that we identified earlier.

So the final answer is : Translate figure X \(\left[\begin{array}{ccc}1\\0\\\end{array}\right]\), reflect figure X in the y-axis to give figure Y.

Answer:

a) 3x-8 b) 8x^2-9x-6 c) 7x^2-2x-3

Step-by-step explanation:

a) 9x+6-4x-2x+1-15

9x-4x-2x+6+1-15

5x-2x+7-15

3x+7-15

3x-8

b) (6x^2-2x+5)+(2x^2-7x-11)

6x^2+2x^2-2x-7x+5-11

8x^2-9x-6

c) 7x^2-5-2x-3+5

7x^2-2x-8+5

7x^2-2x-3

Answer:

(x + 3)

Step-by-step explanation:

Queremos resolver un problema sobre porcentajes y encontrar el precio de un objeto antes de aplicar impuestos.

Veremos que la solución es: $2465.52

Supongamos que el precio de la bicicleta es P.

Sabemos que luego de aplicar un impuesto del 16%, el precio será $2860.00

Esto se puede escribir como:

P + P*(16%/100%) = $2860.00

P*1.16 = $2860.00

Podemos resolver esto para P:

P = $2860.0/1.16 = $2,465.52

Así podemos concluir que el precio antes de los impuestos es $2465.52.

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Answer:B

Step-by-step explanation:

interior angle is the angle between adjacent sides of a rectilinear figure.

Answer:

your anwser would b, becuase a, d, and c are all on the outside not the inside

Step-by-step explanation:

The correct set of hypotheses to test whether the average number of hours spent relaxing or pursuing enjoyable activities differs significantly from 4, based on the given information, is option (e):

H0: μ = 4; Ha: μ < 4.

In this case, the null hypothesis (H0) states that the population mean (μ) of hours spent relaxing or pursuing enjoyable activities is equal to 4 hours. The alternative hypothesis (Ha) suggests that the population mean (μ) is less than 4 hours.

The goal of the test is to determine whether there is enough evidence to reject the null hypothesis in favor of the alternative hypothesis, indicating that the average number of hours spent on such activities is less than 4.

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The value of angle y is 108°.

Since, line AB is parallel to line CD,

By the definition of corresponding angles,

m∠FPB = m∠FQD

(2x + 16)° = (3x - 12)°

3x - 2x = 16 + 12

x = 28

(3x - 12) = 3(28) - 12

            = 72°

m∠FQD + m∠EQD = 180° [Linear pair of angles]

72° + y = 180°

y = 180 - 72

y = 108°

The value of angle y is 108°.

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Answer:

the distance is 8

Step-by-step explanation:

Answer:

8 units

Step-by-step explanation:

Simple, count from -3 to 5

An alternative way to find the answer is to add the absolute values of the points.

For example,

|-3| = 3    So, |-3| + |5| is 8

Step-by-step explanation:

We first calculate the lenght of the diameter, that is also the lenght of the hypotenuse of the right triangle shown in the figure:

d = \(\sqrt{3^2 + 4^2} = \sqrt{25} = 5\) cm

The radius of the circle will be half of the diameter: r = d/2 = 2.5 cm

The area of the circle will be: Acircle = pi * r^2 = pi * 6.25 cm^2 = 19.6 cm^2 (circa).

Now from the area of the circle we subtract the area of the square:

Asquare = 4cm * 3cm = 12cm^2

A shaded = Acircle - Asquare = 19.6 cm^2 - 12cm^2 = 7.6 cm^2

Answer:

19 orders of tea

57 orders of collee

Step-by-step explanation:

find 1/4 of the 76

76/4=19

multiply by 3

19x3=57

The percentage of measurements that are 124.4 or higher is approximately 2.5%.

To find the percentage of measurements that are 124.4 or higher, we need to first standardize the value 124.4 using the formula:

z = (x - μ) / σ

where z is the z-score, x is the value we want to standardize, μ is the mean, and σ is the standard deviation.

Plugging in the values we have, we get:

z = (124.4 - 95) / 15 = 1.96

Next, we can use a standard normal distribution table or calculator to find the area under the standard normal curve to the right of the z-score 1.96.

Using a standard normal distribution table, we can find that the area to the right of 1.96 is approximately 0.025 (rounded to 3 decimal places).

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Given:

Two points are A(6,1) and B(9,4).

To find:

The equation of the line that passes through the given points.

Solution:

If a line passes through two points \((x_1,y_1)\) and \((x_2,y_2)\), then the equation of the line is:

\(y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)\)

It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:

\(y-1=\dfrac{4-1}{9-6}(x-6)\)

\(y-1=\dfrac{3}{3}(x-6)\)

\(y-1=1(x-6)\)

\(y-1=x-6\)

Adding 1 on both sides, we get

\(y-1+1=x-6+1\)

\(y=x-5\)

Therefore, the equation of the line is \(y=x-5\).

Given that the High Plains Aquifer overlaps so many states, less data is now available to the latter might water use in one state affect water use in another state.

An aquifer is a layer of unconsolidated materials, rock cracks, or water-bearing, porous rock that lies underground. Using a water well, one may draw groundwater from aquifers. The properties of aquifers differ widely.

if a state utilizes excessive amounts of water and is "upstream" from another state. Less data is now available to the latter. Similar to how water is distributed uniformly in a pool, aquifers do the same thing underground; as a result, if one state uses more water than it should, it decreases the levels for all the other states. Due to this, management must now take place at the interstate level with more political entities participating. A resolution is inevitably more difficult the more people involved.

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Answer: q = -3, p = 6

Step-by-step explanation:

Multiply second equation by 3. 6q + 9q = 9. Equation one minus equation two which gives you p = 6. Then plug it in the second equation. 12 + 3q = 3. 3q = -9. q = -3.

By using function, it can be concluded that-

The predictor variables are bed, bath, floor

What is function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

In a function y = f(x), x is the independent variable and y is the dependent variable.

The price of an apartment is dependent on the number of bedrooms, bathrooms and the floor of the apartment

So the required function is p = f(bed, bath, floor) where p is the price of the apartment

The predictor variables are bed, bath, floor

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Answer: $ 7.20

Step-by-step explanation:

(9x4)/5

36/5

= 7.2

= $7.20

Answer:

Step-by-step explanation:

1. y = 2x

       y = 2*4 = 8  Checks, therefore

y = 20  for x = 10

2. y = 3x

       y = 3*(0.3) = 0.9  Checks, therefore:

y =  3*(1.5) = 4.5  

       y = 3*

3. y = 5/x

       y = 5/(1/2) = 10  Checks, therefore:

       3 = 5/x

x = 5/3

4 v = wu

7*3 = 21  Checks, therefore:

v =  (3/4)*(6) = (18/4) = (9/2)

v = (2/3)wu

v = (2/3)*7*3 = 14 Checks

5 m = Kn/p  [Add the K as a constant that will make m = Knp true at some value of K]

9 = K*2/(1/3)

27 = (K*2)

27 = 2K

K = (3/2)

       m = (3/2) (n/p)

       m = (3/2)*((1/2)/(1/3))

        m = (3/2)*(3/2)

        m = 1

Answer:

Step-by-step explanation:

4 - (-7) = 4 + 7 = 11

Subtracting a negative number is the same as adding a positive number.

4 - (-7)

4 + 7

11

Best of Luck!

Answer:

x = 1

Step-by-step explanation:

Both equations can be set equal to each other since they are both equal to y:

\(x-10=-4x-5\\5x-10=-5\\5x=5\\x=1\)

equate both equations !

x - 10 = -4x - 5

5x - 10 = -5

5x = 5

x = 1

therefore x = 1

Answer:

its in the shape of a tringle

Step-by-step explanation:

Answer:

See attached

Step-by-step explanation:

Definitely not a genius but I took a swing at it.  I just plotted the points; I didn't connect anything.