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Answer:

C

Step-by-step explanation:

The formula for the area of a trapezoid is: \(\frac{1}{2}\) (height)(sum of parallel lines)  

Thus, the formula in this question would be: \(\frac{1}{2}\) (4)(4+8) which is option C

Answer:

=> 83mg ,85mg ,89mg ,100 mg ,104 mg

\( = > (\frac{n + 1}{2})\)

\( = > ( \frac{5 + 1}{2}) \\ = > \frac{6}{2} \\ = > 3\)

\( \\ \\ \)

Hope it helps

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The median amount of vitamin C in the different varieties is 89mg.

The median is the value that's exactly in the middle of a dataset when it is ordered.

Given:

104, 85, 83, 100, 89

On arranging the given data:

83, 85, 89, 100, 104

as, the data is in odd number.

So,

median = (n+1)/2

=(5+1)/2

=3

The third element is 89.

Hence, the median amount of vitamin C in the different varieties is 89mg.

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Answer:

6

Step-by-step explanation:

We can solve this system of equations by graphing.

Using a graph of the system: (see the attached image)

y = 6x - 7

y = 3x + 11,

we can determine that the solution to the system is (6, 29).

Therefore, the x-coordinate of the point—in Cartesian format (x, y)—at which the graphs of the equations intersect is 6.

Answer:

6

Step-by-step explanation:

I took the test. Also, give the other person brainliest.

To prove that (secx+tanx)² = (cscx+1)/(cscx-1), we will start with the left-hand side (LHS) of the equation and simplify it step by step until it matches the right-hand side (RHS) of the equation.

LHS: (secx+tanx)²

Using the trigonometric identities secx = 1/cosx and tanx = sinx/cosx, we can rewrite the LHS as:

LHS: (1/cosx + sinx/cosx)²

Now, let's find a common denominator and simplify:

LHS: [(1+sinx)/cosx]²

Expanding the squared term, we get:

LHS: (1+sinx)² / cos²x

Next, we will simplify the denominator:

LHS: (1+sinx)² / (1 - sin²x)

Using the Pythagorean identity sin²x + cos²x = 1, we can replace 1 - sin²x with cos²x:

LHS: (1+sinx)² / cos²x

Now, let's simplify the numerator by expanding it:

LHS: (1+2sinx+sin²x) / cos²x

Next, we will simplify the denominator by using the reciprocal identity cos²x = 1/sin²x:

LHS: (1+2sinx+sin²x) / (1/sin²x)

Now, let's simplify further by multiplying the numerator and denominator by sin²x:

LHS: sin²x(1+2sinx+sin²x) / 1

Expanding the numerator, we get:

LHS: (sin²x + 2sin³x + sin⁴x) / 1

Now, let's simplify the numerator by factoring out sin²x:

LHS: sin²x(1 + 2sinx + sin²x) / 1

Using the fact that sin²x = 1 - cos²x, we can rewrite the numerator:

LHS: sin²x(1 + 2sinx + (1-cos²x)) / 1

Simplifying further, we get:

LHS: sin²x(2sinx + 2 - cos²x) / 1

Using the fact that cos²x = 1 - sin²x, we can rewrite the numerator again:

LHS: sin²x(2sinx + 2 - (1-sin²x)) / 1

Simplifying the numerator, we have:

LHS: sin²x(2sinx + 1 + sin²x) / 1

Now, let's simplify the numerator by expanding it:

LHS: (2sin³x + sin²x + sin²x) / 1

LHS: 2sin³x + 2sin²x / 1

Finally, combining like terms, we get:

LHS: 2sin²x(sin x + 1) / 1

Now, let's simplify the RHS of the equation and see if it matches the LHS:

RHS: (cscx+1) / (cscx-1)

Using the reciprocal identity cscx = 1/sinx, we can rewrite the RHS:

RHS: (1/sinx + 1) / (1/sinx - 1)

Multiplying the numerator and denominator by sinx to simplify, we get:

RHS: (1 + sinx) / (1 - sinx)

Now, we can see that the LHS and RHS are equal:

LHS: 2sin²x(sin x + 1) / 1

RHS: (1 + sinx) / (1 - sinx)

Therefore, we have proven that (secx+tanx)² = (cscx+1)/(cscx-1).

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Answer: What are the options?

What are the options?

Step-by-step explanation:

Answer:

event horizon

Step-by-step explanation:

Answer:

Answer D

Step-by-step explanation:

The formula is \(A = pi r(r+\sqrt{h^2+r^2})\). We have our r (radius) and h (height), so plugging it all in would give us A = (3.14)(5 + sqrt(12^2)+(5^2). After computing this, you would get answer D, 282.6.

Answer:

The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug

Step-by-step explanation:

From the question we are told that

     The  population mean is  \(\mu = 64\)

     The sample size is \(n = 47\)

      The sample mean is  \(\= x = 63.2\)

      The sample  standard deviation is  \(\sigma = 5\)

       The level of significance is \(\alpha = 0.05\)

The Null Hypothesis is  

             \(H_o : \mu = 64\)

The Alternative Hypothesis is  

           \(H_a : \mu \ne 64\)

The  test statistics is mathematically evaluated as

          \(t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }\)

substituting values

           \(t = \frac{63.1 - 64 }{\frac{5 }{\sqrt{47} } }\)

          \(t = -1.234\)

The  negative sign show that this is a left-tail test

Now the critical value of the level of significance obtained from the critical values table is  

      \(z_{0.05} = 1.645\)

Now  comparing the critical value of the \(\alpha\) and the test statistics we see that  critical value is greater than the test statistic which implies that the null hypothesis is rejected.

The conclusion is that the average level of decibel at the library has changed since the installation of a new computer plug

Answer:

x = 121

Step-by-step explanation:

In order to solve for "x" you need to get it on one side by itself. To do that you need to add 93 to the other side. 93 + 28 is 121.

Answer:

121

Step-by-step explanation:

x-93=28

x=28+93

x=121

Answer:  a) base = 1 ft          b) height = 4 ft

Step-by-step explanation:

Set this up as a right triangle where base = x, height = 2x + 2, and hypotenuse (length of the ladder) = 13

Use Pythagorean Theorem to create a quadratic equation, factor, then apply the Zero Product Property to solve for x.

(x)² + (2x + 2)² = 13²

x² + 4x² + 8x + 4 = 169

        5x² + 8x - 165 = 0

       (5x + 13) (x - 1) = 0

       x = -13/5   x = 1

We know that distance cannot be negative so disregard x = -13/5.

The only valid answer is x = 1

base = x  --> x = 1

height = 2x + 2    --> 2(1) + 2 = 4

Answer:

negative multiplied by a negative is a positive.

a positive multiplied by a positive is a negative

a positive multiplied by a positive is a positive.

Step-by-step explanation:

Answer:

on edge 2022 its A positive

Step-by-step explanation:

i took the test

Answer: 0.03125

Step-by-step explanation:

Answer:

.03125

Step-by-step explanation:

2^-5   =   1 / 2^5   = 1/32   = .03125

Let's represent the number with the variable "x". According to the given property, we can write the following equation:

3(x + 4) < 7x

Now, let's solve this inequality to find the range of numbers that satisfy the property.

3x + 12 < 7x

Subtract 3x from both sides:

12 < 4x

Divide both sides by 4 (since the coefficient of x is 4):

3 < x

So, the range of numbers that satisfy the given property is x > 3.

Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:

Answer:do homework

Step-by-step explanation:

Answer:

x = ±5i

General Formulas and Concepts:

Pre-Alg

Alg II

Step-by-step explanation:

Step 1: Define function

k(x) = -5x² - 125

Step 2: Find roots

Answer:

2^5

Step-by-step explanation:

The base is the same

2^3 * 2^2

We are multiplying, so we can add the exponents

2^3 * 2^2 = 2^(3+2) = 2^5

Answer: \(2^{5}\)

Explanation: I have written this problem on the whiteboard.

For the problem on the board, since our two powers have like bases of 2, we can multiply them together by simply adding their exponents.

So 2³ · 2² is just \(2^{5}\).

A common mistake in this problem would

be for students to say that  2³ · 2² is \(4^{5}\).

It's important to understand however that when applying your

exponent rules, your base in this case 2 will not change.

I can't understand tell me in english

The solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11). The system has exactly one solution.

Let's solve the system of linear equations correctly.

The given system of linear equations is:

x = y + 3z = 6

x - 2y = 5

2x - 2y + 5z = 9

To determine the number of solutions, we can analyze the system using the method of elimination or substitution. Let's use the method of elimination:

From equation 1, we have:

x = y + 3z

Substituting this value of x in equation 2:

(y + 3z) - 2y = 5

y + 3z - 2y = 5

-z + 3z = 5 - y

2z = 5 - y

Now, let's substitute the value of x in equation 3:

2(y + 3z) - 2y + 5z = 9

2y + 6z - 2y + 5z = 9

11z = 9

Simplifying the equation, we find:

z = 9/11

Now, substituting this value of z back into the equation 2z = 5 - y, we get:

2(9/11) = 5 - y

18/11 = 5 - y

18/11 - 5 = -y

18/11 - 55/11 = -y

-37/11 = -y

y = 37/11

Finally, we can substitute the values of y and z into equation 1 to find the value of x:

x = y + 3z

x = 37/11 + 3(9/11)

x = 37/11 + 27/11

x = 64/11

Therefore, the solution to the system of linear equations is (x, y, z) = (64/11, 37/11, 9/11).

The system has exactly one solution.

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Answer: A) 6x = 54; x = 9 times older

Step-by-step explanation:

9 x 6 = 54

The Matchings are:

A ratio or figure stated as a fraction of 100 is called a percentage.

Let 3 be x% of 22.

x% of 22 = 3

22x = 300

x= 13.63%

So, 3 is 13.63% of 22.

Let 22 be y % of 164.

y% of 164 = 22

164y= 2200

y= 13.41%

So, 13.41% of 164 is 22.

4% of 22 = 0.88

then, 4/100 x 22 = 0.88

Let 8 is 22% of z.

22z/100 =8

z= 36.36

5% of 22 = 1.1

= 5/100 x 22

= 1.1

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Answer:

just show the questions i will help

Step-by-step explanation:

Answer:??? Bio?

Step-by-step explanation:give a good expample

Answer:

D.) f(x)= x-4

Step-by-step explanation:

Attached is an image with all the functions graphed.

Function A: Red

Function B: Blue

Function C: Green

Function D: Purple

From the image, you can see that function D is the only function with an x-intercept of 4.

If you wanted to find the function with an x-intercept of 4, you could plug in 4 for x and see which gives you y=0 as a solution.

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Answer:

angle ced is a right ange

so the m angels debate =135 m angle aeb =35

so the answer is 135+35 =170

180 is a all side sim

=180-170=10 answer

Answer:

∠CED is a right angle.

∠CEA is a right angle.

m∠CEB = m∠BEA

m∠DEB = 135°

Your analysis is correct. Here's a summary:

If it is sunny, then it is 80° Fahrenheit. (Original statement)

Converse: If it is 80° Fahrenheit, then it is sunny. (Valid)

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Valid)

If it is not sunny, then it is not 80° Fahrenheit. (Original statement)

Converse: If it is not 80° Fahrenheit, then it is not sunny. (Invalid)

Counterexample: A day that is not 80° Fahrenheit and not sunny (e.g., 70° and cloudy).

If it is 80° Fahrenheit, then it is sunny. (Original statement)

Converse: If it is sunny, then it is 80° Fahrenheit. (Invalid)

Counterexample: A day that is 80° Fahrenheit and cloudy.

In cases 1 and 2, the original statements and their converses are valid because the relationship between "sunny" and "80° Fahrenheit" holds in both directions. However, in cases 3 and 4, the converses are invalid because there are counterexamples where the second part of the statement (either "not 80° Fahrenheit" or "cloudy") does not necessarily imply the first part ("not sunny" or "80° Fahrenheit").

Answer:

a. Possible outcomes for this chance experiment are:

(Here, D means a defective battery, and N means a nondefective battery.)

b. The number of outcomes in the sample space is infinite, as the experiment could potentially continue indefinitely. However, in practice, we can define a maximum number of batteries that could be examined before the experiment is stopped.

c. The event E, that the number of batteries examined is a number, would include outcomes where the experiment stopped at a particular number of batteries. For example, if the experiment stopped after examining three batteries (i.e., the fourth battery was nondefective), then the outcome would be DDDN, and it would be included in event E. However, outcomes where the experiment continued indefinitely (e.g., DDDDD...) would not be included in event E.

Answer:

Step-by-step explanation:

Margin of Error = Zcritical * Standard error

Zcritical at 5% confidence interval

Z0.065