Find the value of x. If necessary, round your answer to the nearest tenth. The figures are not drawn to scale.
AB = 16, BC = 8, and CD = 9

The average rate of change of the function in the interval is of 3.

The average rate of change of a function f(x) over an interval [a,b] is given by:

\(A = \frac{f(b) - f(a)}{b - a}\)

In this problem:

Hence:

\(A = \frac{10 - 1}{6 - 3} = 3\)

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Since then, it has spread to other rivers, colonized them, clogged the water intake pipes, and competed with local species for food. Zebra mussels are the method for removing a lot of plankton from the water column.

Here, we have,

The Caspian Sea in Asia is where zebra mussels, or Driessen polymorph, are found naturally.

They arrived in the Great Lakes region in the late 1980s via ballast water from a transatlantic ship.

The Great Lakes, Mississippi, Tennessee, Hudson, and Ohio river basins were all overrun by these mussels within ten years.

The lake's brilliant blue hue is a result of Tahoe's clean air and water.

There is more to this phenomenon than just the fact that Lake Tahoe's surface reflects the sky, which contributes to its blue color.

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complete question:

As you respond to Part A, Part B, and Part C, follow the directions below.

​

​Address all of the instructions in each prompt.

​Use evidence from the information provided and your own knowledge of science to support your responses.

Part A

​

Describe one way scientists near Lake Tahoe can detect if the lake has been impacted by zebra mussels.

Ofc 2 18 eggs at 97cents

Answer: $0.87

Step-by-step explanation: because i can save my money and spend it on something else and I could also get more because of the buy 2 get one free...

PLEASE MARK ME THE BRAINLIEST

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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For the given figure,   x = 23°  and      y = 129°

Parallel lines:

                        Parallel lines are lines that always stay the same distance apart and never meet.

Transversal line :

                             A transversal is a line that crosses two or more other lines.

given,

     ∠TLN = (3x - 18)°

    ∠MZQ = (5x + 14)°

    ∠NLM = y°

Now,

         ∠MZP + ∠MZQ = 180°  (Linear Pair)

        ∠MZP  = 180° - ∠MZQ  ...........(I)

again,

          ∠NLM + ∠TLN  =180°  ...........(II)      (Linear Pair)

  As,         ∠TLN = ∠MZP  (Corresponding Angle)

             (3x - 18)° =  180° - ∠MZQ  

           (3x - 18)° = 180° - (5x + 14)°

         3x + 5x  = 180° - 14° + 18°

           8x = 184°

           x = 184 / 8

          x = 23°

      From (II),

      ∠NLM + ∠TLN  =180°

    y° + 3x - 18° = 180°

 y = 180 - 3x + 18

     = 180 - 3* 23 + 18

      = 180 - 69 +18

     y = 129°

For the given figure,

                                     x = 23°  and      y = 129°

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y² = 16

options provided:

A. y³ = 64

B. y³ = 8

✔ C. y² = 16

D. y² = 8

solve:

Let's see how?

We know a polynomial having degree n has n zeros

Here

Hence answer will be

Option C

Answer:

33

Step-by-step explanation:

An = 6n+3

so the first five terms in sequences is A5= 6*5 +3 = 33

The probability that one has a dog allergy when tested positive will be 0.3311.

What do you mean by probability?

Mathematical explanations of the likelihood that an event will occur or that a statement is true are referred to as probabilities. A number between 0 and 1 represents the likelihood of an event, with 0 generally denoting impossibility and 1 denoting certainty.

According to the given question,

We have the given information:

1% of the population has an allergy to dogs.

This will be:

= 1% × 100000

= 1000

So, 1000 people have an allergy to dogs.

The number of people who doesn't have allergy to dogs will be:

= 100000 - 1000

= 99000

Those that have allergies = 2% × 1000 = 20

So, the probability that one has dog allergy will be:

= P(has allergy and test positive)

= (0.01 × 0.98) + (0.098 + 0.0198)

= 0.0098/0.0296

= 0.3311

Therefore, the probability is 0.3311.

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Answer:

300-20w=?

150+10w=?

Step-by-step explanation:

Answer:

Step-by-step explanation:

320

Answer:

4 hours.

Step-by-step explanation:

The difference between 6 and 2 is 4.

Answer:

Your Average Speed was 8.57057285 mph.

Step-by-step explanation:

Answer:2

Step-by-step explanation:

\(\frac{14}{5} -5\)

Divide 14 by 2 to get 7.

7−5

Subtract 5 from 7 to get 2.

Answer=2

Answer:

the answer is 19.2

Length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

The area of Rectangle is length times of width

Given that, a rancher has 200 feet of fencing to enclose two adjacent rectangular corrals of the same dimensions.

Here, the dimensions of the rectangles are the same.

The width of the two rectangles is W=2W+2W=4W

The length of the two rectangles is L=L+L+L=3L

Because the adjacent side has a common length.

3L+4W=200

3L=200-4W

Divide both sides by 3

L=(200-4W)/3

Let us form an equation using the area of rectangle formula:

A=2LW

=2(200-4W)/3.W

A=400-8W²/3

Let us differentiate to get the area to be maximized dA/dW=0

1/3×(400-8W²)=0

1/3(400-16W)=0

400-16W=0

400=16W

Divide both sides by 16

W=25

The width is 25 feet.

Substitute W value in equation to get L value:

L=200-4×25/3

=200-100/3

=100/3

=33.33

The length is 33.33 feet.

Now let us find the maximum area

A=2LW

=2×33.33×25

=1666.66

Hence, length is 33.33 feet and width is 25 feet are dimensions should

be used so that the enclosed area will be a maximum.

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The first step in evaluating the expression 3x{9-(4+2)/2 is to simplify the innermost parentheses. By performing operations within parentheses first, we can simplify the expression and make it easier to evaluate.

To begin, we evaluate the expression within the parentheses (4+2), which equals 6. Thus, the original expression becomes 3x{9-6/2}.

The next step is to simplify the division operation. We divide 6 by 2, resulting in 3. Now the expression becomes 3x{9-3}.

The subsequent step is to simplify the subtraction operation. We subtract 3 from 9, giving us 6. The expression now becomes 3x6.

Finally, we multiply 3 by 6, yielding a final result of 18. Therefore, the evaluation of the expression 3x{9-(4+2)/2 is equal to 18.

By simplifying the parentheses, performing the division, and evaluating the subtraction, we systematically reduce the expression to its simplest form. Following the order of operations (also known as PEMDAS or BODMAS), which prioritizes parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right), ensures an accurate evaluation of the expression.

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THE ANSWER TO THAT PROBLEM IS SIMPLY 175

Answer:

19

Step-by-step explanation:

All you need to do is subtract 78 from 97 to find the "remainder." Or you can also add until you get to 97.

97 - 78 = 19

78 + 19 = 97.

The probability of selecting a Republican and then an Independent is 1/15

From the question, we have the following parameters that can be used in our computation:

Political discussion group consisting of

If the people are replaced, then we have

P(Republicans) = 5/15

P(Independents) = 3/15

So, we have

The probability of selecting a Republican and then an Independent

P = 5/15 * 3/15

Evaluate

P = 1/15

Hence, the probability of selecting a Republican and then an Independent is 1/15

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Answer:

0.0787 is the probability that more than 5% guests are pollotarian.

Step-by-step explanation:

Solution:

Given:

Assume 5% of guests will be pollotarian.

She order 30 pollotarian meals.

Expected proportion of the guest would be expected to be proletarian  =3.5%

P = 0.035

n = sample size = 300

Standard error = √(p(1-p)/n)

                         = √(0.035(1-0.035)/300)

                        = √(0.033775/300)

                       = √0.0001125

                        = 0.0106

Therefore, proportion expected to be pollotarian are 0.035 give,

Or take 0.0106.

Probability that more than 5% of guests are pollotarian:

P( x> 0.05) = 1- p(x < 0.05)

                  = 1 – p ( z < ( 0.05 – 0.035 )/ 0.0106)

                  = 1 – p( z < 1.4137)

                   = 1 – 9213

                   = 0.0787

0.0787 is the probability that more than 5% guests are pollotarian.

Answer:

the first  partial sum  \(\mathbf{S_1= \dfrac{1}{2}}\)

the second partial sum  \(\mathbf{S_2= \dfrac{3}{4} }\)

the third partial sum \(\mathbf{S_3= \dfrac{7}{8}}\)

the fourth  partial sum \(\mathbf{S_4= \dfrac{15}{16}}\)

the fifth partial sum \(\mathbf{S_5= \dfrac{31}{32}}\)

the sixth partial sum \(\mathbf{S_6= \dfrac{63}{64}}\)

Step-by-step explanation:

The term of the sequence are given as : \(\dfrac{1}{2}\), \(\dfrac{1}{2^2}\), \(\dfrac{1}{2^3}\), \(\dfrac{1}{2^4 }\) ,  .  .  .  

The nth term for this sequence is , \(\mathtt{a_n =( \dfrac{1}{2})^n}\)

The nth partial sum of the sequence for \(\mathtt{a_1,a_2,a_3.... a_n}\) is \(\mathtt{S_n}\)

where;

\(\mathtt{S_n = a_1 +a_2+a_3+ ...+a_n}\)

The first partial sum  is:  \(\mathtt{S_1= a_1}\)

\(\mathtt{S_1= (\dfrac{1}{2})^1}\)

\(\mathbf{S_1= \dfrac{1}{2}}\)

Therefore, the first  partial sum  \(\mathbf{S_1= \dfrac{1}{2}}\)

The second partial sum is: \(\mathtt{S_2= a_1+a_2}\)

\(\mathtt{S_2= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2}\)

\(\mathtt{S_2= \dfrac{1}{2} + \dfrac{1}{4}}\)

\(\mathtt{S_2= \dfrac{2+1}{4} }\)

\(\mathbf{S_2= \dfrac{3}{4} }\)

Therefore, the second partial sum  \(\mathbf{S_2= \dfrac{3}{4} }\)

The third partial sum is : \(\mathtt{S_3= a_1+a_2+a_3}\)

\(\mathtt{S_3= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3 }\)

\(\mathtt{S_3= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}}\)

\(\mathtt{S_3= \dfrac{4+2+1}{8}}\)

\(\mathbf{S_3= \dfrac{7}{8}}\)

Therefore, the third partial sum \(\mathbf{S_3= \dfrac{7}{8}}\)

The fourth partial sum : \(\mathtt{S_4= a_1+a_2+a_3+a_4}\)

\(\mathtt{S_4= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3+(\dfrac{1}{2})^4 }\)

\(\mathtt{S_4= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}}\)

\(\mathtt{S_4= \dfrac{8+4+2+1}{16}}\)

\(\mathbf{S_4= \dfrac{15}{16}}\)

Therefore, the fourth  partial sum \(\mathbf{S_4= \dfrac{15}{16}}\)

The fifth partial sum : \(\mathtt{S_5= a_1+a_2+a_3+a_4+a_5}\)

\(\mathtt{S_5= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3+(\dfrac{1}{2})^4 +(\dfrac{1}{2})^5 }\)

\(\mathtt{S_5= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}}\)

\(\mathtt{S_5= \dfrac{16+8+4+2+1}{32}}\)

\(\mathbf{S_5= \dfrac{31}{32}}\)

Therefore, the fifth partial sum \(\mathbf{S_5= \dfrac{31}{32}}\)

The sixth partial sum: \(\mathtt{S_5= a_1+a_2+a_3+a_4+a_5+a_6}\)

\(\mathtt{S_6= (\dfrac{1}{2})^1 + (\dfrac{1}{2})^2+(\dfrac{1}{2})^3+(\dfrac{1}{2})^4 +(\dfrac{1}{2})^5 +(\dfrac{1}{2})^6 }\)

\(\mathtt{S_6= \dfrac{1}{2} + \dfrac{1}{4}+\dfrac{1}{8}+\dfrac{1}{16}+\dfrac{1}{32}+\dfrac{1}{64} }\)

\(\mathtt{S_6= \dfrac{32+16+8+4+2+1}{64}}\)

\(\mathbf{S_6= \dfrac{63}{64}}\)

Therefore, the sixth partial sum \(\mathbf{S_6= \dfrac{63}{64}}\)

Answer:

The exponential model n(t) is \(n(t) = 46(1.1487)^t\)

Step-by-step explanation:

Exponential model of population growth:

An exponential model for population growth has the following model:

\(n(t) = n(0)(1+r)^t\)

In which n(0) is the initial value and r is the growth rate, as a decimal.

Observed to double every 5 hours.

This means that \(n(5) = 2n(0)\)

We use this to find 1 + r. So

\(n(t) = n(0)(1+r)^t\)

\(2n(0) = n(0)(1+r)^5\)

\((1+r)^5 = 2\)

\(\sqrt[5]{(1+r)^5} = \sqrt[5]{2}\)

\(1 + r = 2^{\frac{1}{5}}\)

\(1 + r = 1.1487\)

So

\(n(t) = n(0)(1+r)^t\)

\(n(t) = n(0)(1.1487)^t\)

Initially has 45 bacteria

This means that \(n(0) = 45\). So

\(n(t) = n(0)(1.1487)^t\)

\(n(t) = 46(1.1487)^t\)

The exponential model n(t) is \(n(t) = 46(1.1487)^t\)

Answer:

C) 3.2

Step-by-step explanation:

\(\text{Mean}=\frac{2(0)+1(1)+3(2)+6(3)+2(4)+3(5)+2(6)}{19}\approx3.2\)

Answer:

2.7

Step-by-step explanation:

the hockey score is 2.7

The volume of the prism is 48 cm³.

We are given that;

The dimensions 3cm by 4cm by 5cm

Now,

A rectangular prism is a three-dimensional shape that has two at the top and bottom and four are lateral faces.

The volume of a rectangular prism=Length X Width X Height

We can choose 3 cm and 4 cm as the base and height of the triangle.

Plugging in the values, we get:

Area of triangle=21​×3×4

Area of triangle=6

So, the area of the base is 6 cm sq,

To find the volume of the prism, we can multiply the area of the base by the height of the prism. This gives us:

Volume=6×8

Volume=48

Therefore, by the volume the answer will be 48 cm³.

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Answer:

slope = -3

Step-by-step explanation:

⭐ What is the equation of a line in slope intercept form?

The given line of best fit is written in slope-intercept form. All we have to do is identify which term is the slope.

\(y = -3x + 5\)

-3 is the coefficient of x. Therefore, -3 is the slope.

Answer: B.) 43

I just did it on usatestprep and I got 43

Step-by-step explanation:

The solution is Option B.

The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes

The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.

Mean = Sum of Values / Number of Values

Given data ,

Let the mean of the data be represented as M = 46 minutes

The time it took for Diane to complete her route on Thursday be T

Now , the total time for all the 7 days be represented as S

And , the value of S is

S = 58 + 39 + 42 + 46 + T + 49 + 45

S = 279 + T

Substituting the values in the equation , we get

Mean = Sum of Values / Number of Values

46 = ( 279 + T ) / 7

Multiply by 7 on both sides of the equation , we get

322 = 279 + T

Subtracting 279 on both sides of the equation , we get

T = 322 - 279

T = 43 minutes

Hence , the value of T is 43 minutes

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The value of x in this proposition would be the first option i.e. \(-13\frac{1}{4}\)

4/11= -33/x+5,

to get the value of x we need to get the x to the left hand side,

4(x+5)= -33,

4x+20 = -33.

subtracting 20 from both the sides,

4x= -33-20

4x = -53.

dividing both the sides by 4,

x= -53/4

x= \(-13\frac{1}{4}\) ,

which is option A in the given question

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Answer:

Step-by-step explanation:

Plotting a point A and tracing a point B at 4 units from A results in a circle.

▪The locus of a point at equal distance from a fixed point is a circle.

▪Point A is (5,5) and length of AB is 4 units

This implies that the radius of circle is 4 units.

▪The point B can be swirled around A keeping the distance AB constant.

▪The resulting figure is a circle.

▪This circle is plotted and attached below.

I hope this helped. I am sorry if you get it wrong

Answer:

This is the right answer for Edementum and Plato users

Like and Rate!

Answer:

y=3x+3

Step-by-step explanation:

slope is 3 because rise over run. Rise is 3 and run is 1. 3/1 is 3. and b= y-intercept and the poiunt wehre the line intercepts the y axis is 3. so your answer is y=3x+3

Answer:

y = 3x + 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 1, 0) and (x₂, y₂ ) = (0, 3) ← 2 points on the line

m = \(\frac{3-0}{0+1}\) = \(\frac{3}{1}\) = 3

the line crosses the y- axis at (0, 3 ) ⇒ c = 3

y = 3x + 3 ← equation of line

Linear equations are typically organized in slope-intercept form:

\(y=mx+b\)

To find linear equations in slope-intercept form:

We're given:

First, determine the slope of the line.

\(m=\dfrac{y_2-y_1}{x_2-x_1}\) where \((x_1,y_1)\) and \((x_2,y_2)\) are points that fall on the line

⇒ Plug in the given points (2,6) and (4,16):

\(m=\dfrac{16-6}{4-2}\\\\m=\dfrac{10}{2}\\\\m=5\)

⇒ Therefore, the slope of the line is 5. Plug this back into the general form:

\(y=5x+b\)

Now, determine the y-intercept.

\(y=5x+b\)

⇒ Plug in one of the given points:

\(6=5(2)+b\\6=10+b\\b=-4\)

⇒ Therefore, the y-intercept is -4. Plug this back into our original equation:

\(y=5x-4\)

\(y=5x-4\)

Answer:

210

Step-by-step explanation:

20% is equal to 1/5

5*42 = 210

The movie is 210 minutes.

Answer: 210

5 x 42 =                        210