If you can solve both of these ill give brainliest with work!

Answer:2x²+56

Step-by-step explanation:

2x+1-9·X²-7

2x²+56

Hope this Helps!!!!

Answer:

1,131.20

Step-by-step explanation:

I=prt

1,010*0.14*8

In a Venn diagram, we illustrate the relationships between sets a, b, and c, specifically the relationships a ⊂ b (a is a subset of b) and a ⊂ c (a is a subset of c).

A Venn diagram is a visual representation of sets using overlapping circles. In this case, we have three sets: a, b, and c. To illustrate the relationship a ⊂ b, we draw a circle representing set b and a smaller circle inside it representing set a. This indicates that every element in a is also an element of b, but b may contain additional elements that are not in a. The subset a is completely contained within set b. Similarly, to represent the relationship a ⊂ c, we draw a circle representing set c and a smaller circle inside it representing set a. This indicates that every element in a is also an element of c, but c may contain additional elements that are not in a. The subset a is completely contained within set c. By using the Venn diagram, we visually demonstrate the relationships between sets a, b, and c. The diagram clearly shows that a is a subset of both b and c, indicating that all elements of a are also elements of b and c. However, b and c may have additional elements that are not in a.

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Since ABCD is an isosceles trapezoid, we know that AB = CD. Additionally, we know that AD = BC. Therefore, we can set up two equations:

AB = CD

AD = BC

Using the fact that B = x + 10 and C = 2x - 30, we can substitute those values into the equations:

AB = CD

x + 10 + AD = 2x - 30 + BC

Since AD = BC, we can simplify the second equation to:

x + 10 + AD = 2x - 30 + AD

x + 10 = 2x - 30

x = 40

Now that we know x, we can find the measures of angles B and C:

B = x + 10 = 50

C = 2x - 30 = 50

Since ABCD is an isosceles trapezoid, we know that angles B and C are congruent. Therefore, each of them measures 50 degrees. Since the sum of the angles in a quadrilateral is 360 degrees, we can set up the equation:

A + B + C + D = 360

Substituting in the values we have:

A + 50 + 50 + D = 360

Simplifying the equation:

A + D = 260

Since ABCD is an isosceles trapezoid, we know that angles A and D are congruent. Therefore, we can set up the equation:

A + D = 2D

Substituting in the value we have:

2D = 260

Simplifying the equation:

D = 130

Therefore, the measure of angle D is 130 degrees.

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The speed of the bottom of the ladder moving along the ground when the bottom is 8 ft from the wall is 3.75 ft/sec.

What is speed?

The distance travelled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity.

Let us take x = the distance from the base of the ladder to the base of the wall.

y = the distance from the tip of the ladder to the base of the wall, we have:

=> \(x^2 + y^2 = 17^2\)

=> \(y^2=17^2-x^2=17^2-8^2=289-64=225=15^2\)

=> y = 15 ft.

Now differentiate then,

=> 2x dx/dt + 2y dy/dt = 0

=> 2 * 8 * dx/dt + 2 * 15 * (-2) = 0

=> 16 dx/dt = 60

=> dx/dt = 60/16= 3.75 ft/sec

Hence the bottom of the ladder moving along the ground when the bottom is 8 ft from the wall is 3.75 ft/sec.

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Lisa bowling score is 100.

John bowling score is 282.

What is linear expression?

A linear expression is an algebraic statement where each term is either a constant or a variable raised to the first power.

Given that;

Lisa and John are bowling.

Johns score is three times the difference of Lisa's score and 6.

The sum of their scores is 382.

Now, Let Lisa bowling score = x

Then, John bowling score = 3 (x - 6)

Since, The sum of their scores is 382.

Hence,

x + 3 ( x - 6 ) = 382

After solving,

x + 3x - 18 = 382

4x = 382 + 18

4x = 400

x = 100

Hence, Lisa bowling score = x = 100

And, John bowling score = 3 (x - 6)

                                       = 3 (100 - 6)

                                       = 3 × 94

                                       = 282

Therefore, Lisa bowling score is 100.

And, John bowling score is 282.

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Answer:

1. x ≥ 0

2. x ≥ -2

3. x ≥ 2

4. x ≤ 2

5. x ≤ 0

6. All real numbers

Step-by-step explanation:

Domain of square function:

Suppose we have a square function in the following format:

\(f(x) = \sqrt[n]{g(x)}\)

If n is even, the domain of f(x) is:

\(g(x) \geq 0\)

Otherwise, if n is odd, the domain of f(x) is all real numbers.

1. S(x) = √x

If n does not appear is that it is 2.

g(x) = x

So the domain is:

\(x \geq 0\)

2. H(x) = √2+x

g(x) = 2 + x

So

\(2 + x \geq 0\)

\(x \geq -2\)

3. Z(x) = √x-2

g(x) = x - 2

\(x - 2 \geq 0\)

\(x \geq 2\)

4. Q(x) = √2-x

g(x) = 2 - x

\(2 - x \geq 0\)

\(-x \geq -2\)

Multiplying by -1, everything

\(x \leq 2\)

5. V(x) = √-x

g(x) = -x

Then

\(-x \geq 0\)

Multiplying by -1

\(x \leq 0\)

6. N(x) = ^3√2-x

Cubic root(odd number), so all real numbers.

The rate of change (slopes) and initial value (y-intercepts) are as follows:

A scatter plot can be defined as a type of graph which is used for the graphical representation of the values of two variables, with the resulting points showing any association (correlation) between the data set.

A line of best fit is also referred to as a trend line and it can be defined as a statistical (analytical) tool that is used in conjunction with a scatter plot, in order to determine whether or not there's any association (correlation) between a data.

By critically observing the graph which models the given data, we can logically deduce the following rate of change (slopes) and initial value (y-intercepts):

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Answer: 0.129 kg

Step-by-step explanation:

A gram to a kilogram can be found by dividing the value of grams by 1000, or multiplying the value by 0.001

Answer:

a

Step-by-step explanation:

The correct option (A) -5 which represents the slope of the graphed line having points (0,2) and (1,-3).

The general form for forming the linear equation is:

\(y-y1= m (x-x1)\)

where x and y are axis coordinates respectively.

m is the slope of the straight line.

Now we need to calculate the slope of the line.

Formula used:

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

Here,

\((x1, y1) = (0, 2), (x2, y2) = (1,-3).\)

\(m = (-3-2)/(1-0)\\m = -5/1\\m = -5\)

Therefore, the slope of the graphed line is -5 having points (0,2) and (1,-3).

So, the -5 number best represents the slope of the graphed line.

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Step-by-step explanation:

The correct option (A) -5 which represents the slope of the graphed line having points (0,2) and (1,-3).

The general form for forming the linear equation is:

y-y1= m (x-x1)y−y1=m(x−x1)

where x and y are axis coordinates respectively.

m is the slope of the straight line.

Now we need to calculate the slope of the line.

Formula used:

m = y2- y1/x2-x1m=y2−y1/x2−x1

Here,

(x1, y1) = (0, 2), (x2, y2) = (1,-3).(x1,y1)=(0,2),(x2,y2)=(1,−3).

\begin{gathered}m = (-3-2)/(1-0)\\m = -5/1\\m = -5\end{gathered}

m=(−3−2)/(1−0)

m=−5/1

m=−5

Therefore, the slope of the graphed line is -5 having points (0,2) and (1,-3).

So, the -5 number best represents the slope of the graphed line.

The factor in the graph that supports the idea that the greater the rainfall in June through August, the fewer acres are burned by wildfires is the negative correlation between rainfall and acres burned.

The graph shows a negative correlation between the amount of rainfall in June through August and the number of acres burned by wildfires. As the amount of rainfall increases, the number of acres burned decreases. This suggests that wetter weather can help reduce the risk of wildfires.

The graph provides a visual representation of the relationship between rainfall and wildfires. It shows that there is a clear negative correlation between the two variables. This means that as one variable increases, the other decreases. In this case, the variable of interest is the number of acres burned by wildfires. The graph shows that when there is less rainfall in June through August, more acres are burned by wildfires. Conversely, when there is more rainfall during these months, fewer acres are burned. This makes sense because rainfall can help reduce the risk of wildfires by making vegetation less dry and therefore less susceptible to catching fire. Additionally, wetter weather can help firefighters contain and extinguish fires more quickly and effectively.

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Answer:

x = 7.5

Step-by-step explanation:

Given

- 15 = \(\frac{x}{-0.5}\) ( multiply both sides by - 0.5 to clear the fraction )

- 15 × - 0.5 = x

7.5 = x

Answer:

numerator - the number above the fraction line; tells how many parts of the whole exist

mixed number - a number with an integer part and a fraction part

denominator - the number under the fraction line; tells how many equal parts the whole was broken into

common fraction - a fraction with a whole number for the numerator and a whole number other than zero for the denominator

like denominators - two fractions with the same denominator

improper fraction - a fraction in which the numerator is larger than the denominator

To find the sum of a convergent geometric series, we can use the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. However, since this series is divergent, we cannot use this formula to find its sum.

To determine whether the geometric series is convergent or divergent, we need to first find the common ratio (r) between each term. To do this, we can divide any term by the previous term. For example, dividing 16/3 by -4 gives us -4/3, which is the common ratio (r).

Now we need to check if the absolute value of r is less than 1 for the series to be convergent. In this case, the absolute value of r is 4/3, which is greater than 1. Therefore, the series is divergent.

To find the sum of a convergent geometric series, we can use the formula S = a / (1 - r), where S is the sum, a is the first term, and r is the common ratio. However, since this series is divergent, we cannot use this formula to find its sum.

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Answer:

$ 331 :)

Step-by-step explanation:

The 4 tests for similar triangles are:-

AAA: Three pairs of equal angles.

SSS: Three pairs of sides in the same ratio.

SAS: Two pairs of sides in the same ratio and an equal included angle.

ASA: Two angles and the side included between the angles of one triangle are equal

What is AAA,SAS,ASA,SSS?

According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle. 

According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.

According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.

According to the  AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."

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Answer:

a. \( \\ \mu = 0\) and \( \\ \sigma = 1\)

b. A bell-shaped curve (see the below graph).

c. \( \\ P(Z<1.2) = 0.88493\)

d. \( \\ P(Z<-1.64) = 0.05050\)

e. \( \\ P(Z>-1.39) = 0.91774\)

f. \( \\ P(-0.45< Z <1.96) = 0.64864\)

g. \( \\ P(Z<1.015 = 0.845)\), c = 1.015.

h. \( \\ P(Z>-1.015 = 0.845)\), c = -1.015.

i. \( \\ P(-1.422 < Z < 1.422) = 0.845\)

Step-by-step explanation:

Z is a random variable and is a standardized value or a z-score. The formula for it is as follows:

\( \\ Z = \frac{X - \mu}{\sigma}\) [1] (represented as a random variable)

\( \\ z = \frac{x - \mu}{\sigma}\)  [2] (represented as realizations of the random variables or values taken by the random variable Z.)

Where

Z follows a standard normal distribution (see formula [3]), which is a normal or Gaussian distribution with \( \\ \mu = 0\) and \( \\ \sigma = 1\). It is symmetrical at

\( \\ Z \sim N(0,1)\) [3]  

Finding probabilities using the standard normal table

We can use the standard normal distribution to find all probabilities related to Z, and there exists the standard normal table, available in any Statistics books or on the Internet.

We need to consult the standard normal table, use the first two values for Z, that is, in the case of 1.64, we use 1.6 as an entry. We find this value in its first column, and then, using the first row of the table, we localize the remaining 0.04. The intersection of these two values "gives us" the cumulative probability from \( \\ -\infty\) to the value z = 1.64.

Notice that negative values for z-scores are below the mean, whereas positive values represent z-scores above \( \\ \mu\).

Answering the questions

a. What is the mean and standard deviation for Z?

As we discuss before, the mean and the standard deviation are, respectively, \( \\ \mu = 0\) and \( \\ \sigma = 1\).

b. Sketch the distribution.

We can sketch it as a normal or Gaussian distribution, that is, a bell-shaped curve, symmetrical at \( \\ \mu =0\), with most values near the mean and less at each end of the distribution. See the below graph.

c. Find P(Z <1.2)

Following the explained procedure above, we can obtain the cumulative probability for \( \\ P(Z<1.2)\):

In the first column, we localize z = 1.2. At the first row, we localize the value 0.00 (since z = 1.2 = 1.20). Notice that this value is above the mean (positive).

Then, the asked probability is \( \\ P(Z<1.2) = 0.88493\).

d. Find P(Z < −1.64)

The values less than z = -1.64 are below the mean, and we have for the first column z = -1.6 and for the first row -0.04. Then

\( \\ P(Z<-1.64) = 0.05050\)

e. Find P(Z > −1.39)

In this case, we need to recall that

\( \\ P(Z<a) + P(Z>a) = 1\)

For any positive or negative value of a. Then

\( \\ P(Z<-1.39) + P(Z>-1.39) = 1\)

Thus

\( \\ P(Z>-1.39) = 1 - P(Z<-1.39)\)

\( \\ P(Z>-1.39) = 1 - 0.08226\)

\( \\ P(Z>-1.39) = 0.91774\)

f. Find P(−0.45 < Z <1.96)

In this case, we need to find \( \\ P(Z<1.96) - P(Z<-0.45)\). Then

\( \\ P(Z<1.96) = 0.97500\)

\( \\ P(Z<-0.45) = 0.32636\)

Therefore

\( \\ 0.97500 - 0.32636\)

\( \\ 0.64864\)

Then, \( \\ P(-0.45< Z <1.96) = 0.64864\).

g. Find c such that P(Z < c) = 0.845

In this case, find the cumulative probability, 0.845, and the corresponding value for z.

This value is between z-scores (z = 1.01 and z = 1.02). The standard normal table cannot give us values for z with more than two decimal digits for z. We can overcome this using interpolation or technology, and this value will have a third digit for z. This value is approximately:

\( \\ P(Z<1.015 = 0.845)\), c = 1.015.

h. Find c such that P(Z > c) = 0.845

Because of the symmetry of the normal distribution:

\( \\ P(z<-a) = P(z>a)\) or

\( \\ P(z>-a) = P(z<a)\)

From the previous result (part g):

\( \\ P(Z<1.015 = 0.845)\)

Then

\( \\ P(Z>-1.015 = 0.845)\), c = -1.015.

i. Find c such that P(−c < Z < c) = 0.845

We can overcome using the symmetry of the normal distribution again, and we know that 0.845 is a value between -c and c. At both extremes of the distribution we have symmetrically the following probabilities:

\( \\ \frac{1 - 0.845}{2}\)

\( \\ \frac{0.155}{2}\)

\( \\ 0.07750\)

Then, we use

\( \\ P(z<-a) = P(z>a)\)

\( \\ P(z<-1.42) = P(z>1.42)\)

Then, approximately, c = 1.42 and -c = -1.42 or \( \\ P(-1.42 < Z < 1.42) = 0.845\). Using linear interpolation or technology, we can have a value of c = 1.422 and -c = -1.422.  

Answer:

D: 3/11

Step-by-step explanation:

3/11 is equal to .2727272727 which is known as a repeating decimal as it is never-ending.

3/5 = .6

3/8 = .375

3/10 = .3

Answer:

The answer is 0.01, 0.1, 0.1, 0.11, 1 and 1.11

Step-by-step explanation:

Answer:

I hope this helps : ) !!!!

Step-by-step explanation:

0.01 , 0.1, 0.1, 0.11, 1, 1.11

Answer:

a

Step-by-step explanation:

you add the exponents together when there are parentheses

Answer:

B

Step-by-step explanation:

When raising a number to a power, to another power, you can multiply the exponents.  Think of (6^3)^2 as (6*6*6)^2.  (6*6*6)^2 is equal to (6*6*6)*(6*6*6).  This is the same as 6^6.

Answer:

so easy! 9 + 2y

Answer:

6+2y

Step-by-step explanation:

The correct denominator for the slope formula using the points (1, 5) and (2, -2) is -2 - 1.

Let's go through each option and explain what it represents in the context of the slope formula for the given points (1, 5) and (2, -2):

2 - 1: This option represents the difference between the x-coordinates of the two points. In the slope formula, the numerator involves subtracting the y-coordinates, not the x-coordinates. Therefore, this option does not represent the denominator.

2 - 5: Similarly to the previous option, this option represents the difference between the x-coordinates of the two points. Again, the denominator in the slope formula involves subtracting the y-coordinates, so this option does not represent the denominator.

-2 - 5: This option represents the difference between the y-coordinates of the two points. In the slope formula, the denominator involves subtracting the y-coordinates. However, the subtraction should be performed with the y-coordinate of the second point minus the y-coordinate of the first point, not the other way around. Therefore, this option is not the correct denominator.

-2 - 1: This option also represents the difference between the y-coordinates of the two points. However, it subtracts the y-coordinate of the first point from the y-coordinate of the second point, which is the correct order for calculating the denominator in the slope formula. Therefore, this option represents the correct denominator.

To summarize, the correct denominator for the slope formula using the points (1, 5) and (2, -2) is -2 - 1.

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Answer:

27 cm³

Step-by-step explanation:

To find the volume, multiply the length, the width, and the depth together.

3*3*3=27

The volume of the cube is 27 cm³

Hope this helps!

We can conclude that the equation has exactly one real root (namely, x = 0) and two complex conjugate roots.

What is the quadratic equation?

The solutions to the quadratic equation are the values of the unknown variable x, which satisfy the equation. These solutions are called roots or zeros of quadratic equations. The roots of any polynomial are the solutions for the given equation.

I can give an example to demonstrate how to use inspection and Descartes' rule to find a real root of an equation and show that there are no other real roots.

Consider the equation x³ - 3x² + 2x = 0. By inspection, we can see that x = 0 is a real root of the equation since the left-hand side of the equation evaluates to 0 when x = 0.

To use Descartes' rule, we need to count the number of sign changes in the coefficients of the polynomial f(x) = x³ - 3x²  + 2x.

There are two sign changes: from positive to negative in the coefficient of x² and from negative to positive in the constant term.

Therefore, according to Descartes' rule, the equation has either two or zero positive real roots.

Next, we need to count the number of sign changes in the coefficients of f(-x), which is obtained by replacing x with -x in f(x).

We have f(-x) = -x³ - 3x² - 2x, which has one sign change: from negative to positive in the coefficient of x².

Therefore, according to Descartes' rule, the equation has either one or three negative real roots.

Since the total number of positive and negative real roots must add up to the degree of the polynomial (which is 3 in this case),

Hence, we can conclude that the equation has exactly one real root (namely, x = 0) and two complex conjugate roots.

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Answer:

The answer is 9.45

Step-by-step explanation:

The answer is 9.45 because 28.20 divided by 188 is 0.15 then if you multiply 0.15 by 63 you get 9.45