How do you do this problem? SImple and concise answer please! PLEASE HELPPPPPPPPP

1. 8 (k=-2)

2. 8 (k=-0.5)

3. 8 (k=-2)

4. -15 (k=3)

Answer with explanation:

Census Evaluates number of people Living in the United States.

There are two kinds of Data

1. Qualitiative----Which Says about the Quality Possessed by variate in Data set.

2. Quantitative----Variate in Data set is represented through numerical value.

    Quantitative Data set has two attributes

(a) Discrete Data Set

(b) Continuous Data set

In this Question , it has been asked about number of people living in United states , which is Numerical Representation.As when number of People will get counted , it will keep on increasing, but population measurement which is represented by Natural number can't be continuous.

So, it is Quantitative data.

Option (B)--- Quantitative data.

Answer:

The asnwers for your two question problem are

1. $625

2. 90 building blocks

Step-by-step explanation:

First problem

The fabric Josef is using comes in 100 square-inch pieces that cost $6.25 each. What will his fabric cost?

* The fabric has 100 pieces

* Each piece costs $6.25

Total amount for the fabric  = $6.25*100 = $625

Second problem

A student made a toy chest for his baby sister's square building blocks. Six layers of blocks can fit in the box, and each layer has 15 blocks. How many building blocks can the toy chest hold?

* 6  layers of blocks fit in the box

* Each layer has 15 blocks

Total amount of blocks = 6*15 blocks  = 90 blocks

4. ∠FCB ≅ ∠GDC: Corresponding angles theorem (when two parallel lines are crossed by a transversal, the corresponding angles formed are congruent) (but to use this, you have to state that ∠BCF and ∠CDG are corresponding)

5. ∠FCB ≅ ∠GCD: Subst. POC (Because ∠FCB ≅∠GDC and ∠GDC≅∠GCD)

6. Converse of the corresponding angles theorem

I can not really show my work since most proofs are theoretical and hence most work is done in the head.

Answer:

Step-by-step explanation:

see attached

Answer:

Confidence interval:  11.5 < µ < 30.9

Read below to see conclusion:

Step-by-step explanation:

n = 13, x = 79.4, s = 21.2, Z = 1.645 (z score for a confidence interval with 90% confidence)

Use the formula to find the error:  E = Z(s/√n)

We have: E = 1.645(21.2/√13) = 9.7

Now construct the confidence interval:

x - E < µ < x + E

21.2 - 9.7 < µ < 21.2 + 9.7

11.5 < µ < 30.9

Yes, the drug appears to be effective because the estimated wake time for a population using this drug will be between 11.5 and 30.9 minutes.   The upper end of this interval is much lower than 102, so it appears as though the drug is effective.

Answer:

[tex]\frac{4\sqrt{3} }{3}[/tex]

Step-by-step explanation:

4sqrt3/3

Answer:

The answer is ellipse of equation 4x² + 5y² - 40x + 60y + 260 = 0 ⇒ answer (b)

Step-by-step explanation:

* At first lets talk about the general form of the conic equation

- Ax² + Bxy + Cy²  + Dx + Ey + F = 0

∵ B² - 4AC < 0 , if a conic exists, it will be either a circle or an ellipse.

∵ B² - 4AC = 0 , if a conic exists, it will be a parabola.

∵ B² - 4AC > 0 , if a conic exists, it will be a hyperbola.

* Now we will study our equation:

* 4x² + 5y² = 20

∵ A = 4 , B = 0 , C = 5

∴ B² - 4 AC = (0)² - 4(4)(5) = -80

∴ B² - 4AC < 0

∴ The graph is ellipse or circle

* If A and C are nonzero, have the same sign, and are not

 equal to each other, then the graph is an ellipse.

* If A and C are equal and nonzero and have the same

 sign, then the graph is a circle.

∵ A and C have same signs with different values

∴ It is an ellipse

* Now lets study T(5 , -6), that means the graph will translate

 5 units to the right and 6 units down

∴ x will be (x - 5) and y will be (y - -6) = (y + 6)

* Lets substitute the x by ( x - 5) and y by (y + 6) in the equation

∴ 4(x - 5)² + 5(y + 6)² = 20

* Use the foil method

∴ 4(x² - 10x + 25) + 5(y² + 12y + 36) = 20

* Open the brackets

∴ 4x² - 40x + 100 + 5y² + 60y + 180 = 20

* Collect the like terms

∴ 4x² + 5y² - 40x + 60y + 280 = 20

∴ 4x² + 5y² - 40x + 60y + 280 - 20 = 0

∴ 4x² + 5y² - 40x + 60y + 260 = 0

* The answer is ellipse of equation 4x² + 5y² - 40x + 60y + 260 = 0

Answer:

BBBBBB

Step-by-step explanation:

BBBBB

According to Cavaliert's Principle,

if two triangles are formed on base of equal length and are between same parallels, i.e have same height, then the triangles are of equal area.

Answer:

20 5/8 lbs

Step-by-step explanation:

Multiply 5 1/2 by 3 3/4

1. convert the mixed numbers to improper fractions

     5 1/2 = 11/2

    3 3/4 = 15/4

2. Multiply numerator by numerator and denominator by denominator

   11*15 = 165

    2*4 = 8

                    165/8

3. divide to convert back to mixed number:

    165/8 = 20 5/8

To find out how much dog food you have, multiply the weight of one bag by the number of bags. The required answer will be 8 1/4  or 20.25 pounds of dog food.

To find out how much dog food you have, you can multiply the weight of one bag by the number of bags. In this case, one bag weighs 5 1/2 pounds, and there are 3 3/4 bags. To multiply these fractions, convert them to improper fractions, multiply the numerators together, and multiply the denominators together. Then, divide the product of the numerators by the product of the denominators. So, 5 1/2 multiplied by 3 3/4 is equal to 33/4 pounds or 8 1/4 pounds of dog food.

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$8.00. Hope this helps!

Answer:

π radians.

3.14.

Step-by-step explanation:

The period is  π radians  which is 3.14 radians to the nearest hundredth.

Answer: The library is 3,000 meters away.

Step-by-step explanation:

The solution of this exercise can be obtained by making the conversion from kilometers to meters.

You know that the library is 3 kilometers away.

Let's remember  that 1 kilometer has 1,000 meters.

Then, the conversion from 3 kilometers to meters can be made by this proccedure:

3 kilometers to meters:

[tex]=(3\ kilometers)(\frac{1,000\ meters}{1\ kilometers})\\\\=3,000\ meters[/tex]

Then the library is 3,000 meters away.

Answer: Yes, Atoine is correct.

Step-by-step explanation:

The roots of a quadratic function are also known as the solutions or the zeros of a function. Here is how we get them:

1. Let y=0 to find the x-intercept(s).

0=x^2+25

2. Subtract 25 from both sides.

−25=x&2

3. Take the square root of both sides.

±√−25

=x

4. Simplify √−25​​​ to √​25​​​ı.

±√​25​​​ı=x

5. Since 5×5=25, the square root of 25 is 5.

±5ı=x

6. Switch sides.

x=±5ı

The equation above is not a real solution that represents a line.

Therefore, there are no x-intercepts.

In the given statement is "true".

[tex]\to f(x)=x^2+25[/tex]

            [tex]\to x^2+25=0\\\\\to x^2= -25\\\\\to x= \pm i\sqrt{25}\\\\[/tex]

   Since[tex]\sqrt{-25}[/tex] is an imaginary number then

           [tex]\to x=\pm 5i\\\\\to \sqrt{25}= 5[/tex]

Its equation's solutions are [tex]\pm 5i[/tex].

Therefore, the final answer is "no solution".

Learn more about the quadratic function here:

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Answer: it is a

Step-by-step explanation:

It is a because if you add them all together you will see that be is less so you can cross does out so you are left with a or c. C is not the correct ans because none of the kids had a forearm less than 9. And all seven of the kids had a forearm more than 10 inches.

Answer:

Step-by-step explanation:

The first two are incorrect. Only very special n's will work. (Every 10th one for n>0)

Just call A and B incorrect.

400o = 360 + 40

The answer is between C and D

The question is will a negative value for n work? Suppose n = - 1 That means you go around the circle clockwise 1 time and though the question does not say it, you must start at the positive x axis.

Having said that 40 is plus.

The 360 starts at the + x axis. It doesn't matter how it got there. 40 degrees from the +x axis is in the first quadrant. It always will be.

D is correct but C is the better answer because it includes D.

Answer:

Total cost is $437.92

Step-by-step explanation:

Rectangular area=125•40=5000 yd²

Two equal semicircles=one single circle

Area of circle=πr²=20²•π=400•3.14=1256 yd²

Total field area=circle+rectangle=6256yd²

Cost=area•0.07yd²=6256•0.07=437.92

Answer:

E. Converges by limit comparison test.

Step-by-step explanation:

Here is something that might help you on this

https://study.com/academy/answer/select-the-first-correct-reason-why-the-given-series-converges-displaystyle-sum-n-1-infty-1-n-frac-sqrt-n-n-2-a-convergent-geometric-series-b-convergent-p-series-c-comparison-or-limi.html.

This question involves the application of different series convergence tests in calculus. The first correct reasons why the given series converged were identified using the comparison to a convergent p-series, integral test, and the alternating series test.

This question relates to the convergence of series in calculus. In order to determine why a given series converges, we need to apply various convergence tests. Here are the first correct reasons why the provided series converge:

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The quadratic function has zeros at x = -2, x = 0 (with multiplicity 2), x = 2, and x = 6. The zeros include simple roots and a double root, determined by the graph's behavior at the x-intercepts.

To determine the type of zeros for a quadratic function based on its graph, we need to consider the behavior of the parabola at the x-intercepts (zeros). The given points where the graph intersects the x-axis are (-2, 0), (0, 0), (2, 0), and (6, 0).

1. **Multiplicity of Zeros:**

  - For the point (0, 0), the zero has multiplicity 2 since the graph touches the x-axis but doesn't cross it.

  - For the points (-2, 0), (2, 0), and (6, 0), the zeros have multiplicity 1 since the graph crosses the x-axis at these points.

2. **Type of Zeros:**

  - For the zero at x = 0 (multiplicity 2), it is a double root or a repeated zero.

  - For the zeros at x = -2, x = 2, and x = 6 (multiplicity 1), they are simple roots.

3. **Discriminant:**

  - The discriminant of a quadratic equation \(ax^2 + bx + c = 0\) is given by \(b^2 - 4ac\).

  - If the discriminant is positive, the quadratic equation has two distinct real roots (simple roots).

  - If the discriminant is zero, the quadratic equation has one real root with multiplicity 2 (double root).

  - If the discriminant is negative, the quadratic equation has two complex conjugate roots.

In this case, the fact that the parabola touches the x-axis at (0, 0) without crossing it indicates a double root at x = 0. The other zeros at (-2, 0), (2, 0), and (6, 0) are simple roots.

Therefore, the type of zeros for the given quadratic function is a mix of simple roots and a double root.

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Answer:

-60 people

Step-by-step explanation:

The change in population was -300 people.

The change in population was -300 people/5 yr or -60 people/yr.

Answer:

a. 5218 hot dogs

b. 18 runs per year

c. 1 day per run

Step-by-step explanation:

(a) Let n represent the number of hotdogs in an optimal run. The number of runs needed in a year is ...

r = (260 hotdogs/day)·(365 days/year)/(n hotdogs/run) = 94900/n runs/year

The number of hotdogs in storage decreases from n at the end of a run to 0 just before a run. The decrease is linear, so the average number in storage is n/2.

We can go to the trouble to write the equation for total cost, then differentiate it to find the value of n at the minimum, or we can just jump to the solution. That solution is ...

holding cost = setup cost

(n/2)·0.46 = (94900/n)·66

n^2 = 94900·66·2/0.46 = 27,232,173.9

n ≈ 5218.446

The optimal number of hotdogs in a run is 5218.

___

(b) The number of runs needed per year is (from part (a)) ...

r = 94900/5218 ≈ 18.187

The number of runs per year is 18.

___

(c) The run lenght is 5218 hotdogs, and the run produces them at the rate of 5500 hotdogs/day, so the run length in days is ...

(5218 hotdogs)/(5500 hotdogs/day) = 0.9487 days

The run length is 1 day.

Negative 6 and negative 9 would :)

Polynomials are mathematical expressions involving variables raised with non-negative integers, coefficients and constants. The value of the solution that will make the polynomial equal to zero is -6 and -9.

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

The values of x that would make a polynomial equal to zero if the factors of the polynomial are (x+6) and (x+9) are -6 and -9.

Learn more about Polynomials:

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Howdy!

I just finished taking the quiz and found that the correct answer is:

10[tex]\pi[/tex]

√101

9.92749...

0.99853...

I hope this helped! :D

The numbers, from greatest to least, are 9.92749....., √101 (approximately 10.0499), 10√ (approximately 3.1623), and 0.99853....... The principles of significant digits are important in ordering these numbers to ensure accuracy without introducing errors by rounding.

First, we need to evaluate the values given to us:

Now we will order them from greatest to least:

We keep in mind the principles of significant digits when we compare or order these numbers.

As evident from the provided reference information, it is important not to introduce errors by unnecessary rounding.

Answer:

Not enough info.

Step-by-step explanation:

Not enough information, how big is the fence perimeter wise? What is the shape of the fence? If the fence is square and 2,000 feet long, of course there's room. If its a square fence that's 2 feet long, there is no room at all.

The little rectangle in the top right means the angle is a right angle which equals 90 degrees.

This also means all the other angles are also 90 degrees.

Solve for x:

2x+8 = 90

Subtract 8 from both sides:

2x = 82

Divide both sides by 2:

x = 82/2

x = 41

Answer:

x = 41

Step-by-step explanation:

Since they are vertical angles, 90 = 2x + 8.

Then isolate the variable by subtracting 8 from both sides.

So 2x = 82.

Then divide each side by 2 to get x = 41.

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

Answer:

2/3

Step-by-step explanation:

Reduce the fraction 18/27 into its lowest terms

since both 18 and 27 are divisible by 9, divide both terms by 9

  18/9 = 2

  27/9 = 3

18/27 reduced to lowest terms is 2/3

Answer:

C = 16π ft

Step-by-step explanation:

If we know the area

A = pi r^2

64 pi = pi r^2

Divide each side by pi

64 = r^2

Take the square root of each side

8 = r

The radius is 8

Now we can find the circumference

C = 2 *pi*r

C = 2*pi*8

C = 16pi

Answer:

[tex]\large\boxed{C=16\pi\ ft^2}[/tex]

Step-by-step explanation:

The formula of an area of a circle:

[tex]A_O=\pi r^2[/tex]

r - radius

We have

[tex]A_O=64\pi\ ft^2[/tex]

Substitute:

[tex]\pi r^2=64\pi[/tex]               divide both sides by π

[tex]r^2=64\to r=\sqrt{64}\\\\r=8\ ft[/tex]

The formula of a circumference:

[tex]C=2\pi r[/tex]

Substitute:

[tex]C=2\pi(8)=16\pi\ ft[/tex]

Answer:

B. A normal curve has a horizontal axis with two labeled coordinates, 35 and 50. The curve's peak is near the top of the graph at horizontal coordinate 50. Two vertical line segments run from the horizontal axis to the curve at horizontal coordinates 35 and 50. The area under the curve to the right of the left vertical line segment is shaded; P(X > 35) = 0.9838

Step-by-step explanation:

The middle line in a normal distribution represents the mean.  The mean of this distribution is 50; this means the peak of the curve will have a vertical line down to the horizontal axis at 50.

The value we are concerned with is anything more than 35.  This means there will be a vertical line from the horizontal axis to the curve at 35.  Since we want the probability X is greater than 35, the area to the right of this value under the curve will be shaded.

To find the probability, we use a z score.  The formula for z scores is

[tex]x=\frac{X-\mu}{\sigma}[/tex]

Using our values for X, the mean and the standard deviation, we have

[tex]z=\frac{35-50}{7}=\frac{-15}{7}=-2.14[/tex]

Using a z table, we see that the area under the curve to the right of this value is 0.0162.  This means the area to the left, the desired area, is

1-0.0162 = 0.9838.

Answer: 4/8

Step-by-step explanation:

Equation: 1/8+x=5/18

                 -1/8     -1/8

                      x=4/8

Double Check: 4/8+1/8=5/8