How many square inches of sheet metal are used to make the vent transition​ shown? (The ends are​ open.)

9514 1404 393

Answer:

  C. 4 +√(x+5)

Step-by-step explanation:

The sign between the terms changes to form the conjugate. The radical contents are unchanged.

The conjugate of 4 -√(x+5) is 4 +√(x+5).

_____

Additional comment

The utility of a conjugate is that the product of a number and its conjugate is the difference of two squares. The squares are intended to remove an undesirable feature of the number, its imaginary part or its irrational part, for example. Here, the product of the number and its conjugate would be ...

  (a -b)(a +b) = a² -b²

  4² -(√(x+5))² = 16 -(x +5) = 11 -x . . . . no longer contains a root

Answer:

(1,0) and (0,4)

Step-by-step explanation:

When f(x) will cross the x axis, the y coordinate will turn 0, so 0=-5^(x)+5, 5=5^(x) Which is possible when x=1. So (1,0)

When f(x) will cross the y axis, the x coordinate will turn 0, so f(0)=-5^(0)+5, f(0)=-1+5=4. So (0,4)

Answer:

Step-by-step explanation:

ABCD is a square.

side = 24 cm

Area of square = side  * side = 24 * 24 = 576 cm²

Semicircle:

d = 24 cm

r = 24/2 = 12 cm

Area of semi circle =πr²

                               = 3.14 * 12 * 12

                               = 452.16 cm²

Area of shaded region = area of square - area of semicircle  + area of semicircle

  = 576  - 452.16 + 452.16

  = 576 cm²

Perimeter:

Circumference of semicircle = 2πr

               = 2 * 3.14 * 12

               = 75.36

Perimeter = 2* circumference of semicircle + 24 + 24

                = 2 * 75.36 + 24 + 24

                = 150.72 + 24 + 24

                 = 198.72 cm

Answer:

.

Step-by-step explanation:

Answer:

384 cubic inches

Step-by-step explanation:

first find the volume of the fish tank by multipying the length, width, and height.

v=lwh

 =(16in)(4in)(12in)

 = 768 cubic inches (This answer is equal to the volume of the entire fish tank, however we need to find how much water half the tank can hold. To figure this out, we need to divide 768 by 2. And you should get 384 cubic inches)

Answer:

384

Step-by-step explanation:

took the quiz

Answer:

"125 callers" is the right answer.

Step-by-step explanation:

Given values:

Arrival calls rate,

= 25 per minute

Talking time,

= 4 minutes

Hold time,

= 1 minute

The flow time will be:

= [tex]1 \ minute \ + 4 \ minutes[/tex]

= [tex]5 \ minutes[/tex]

Flow rate,

= [tex]Arrival \ calls \ rate[/tex]

= [tex]25 \ per \ minute[/tex]

By using the Little's law,

⇒ [tex]WIP = Flow \ rate\times Flow \ time[/tex]

By substituting the values, we get

            [tex]= 25\times 5[/tex]

            [tex]=125[/tex]

Thus the above is the correct approach.

Answer:

.35 miles per minute

3.5 miles in 10 minutes

Step-by-step explanation:

21 ÷ 60= .35

.35 × 10 = 3.5

Answer: Missing segment = 45

Step-by-step explanation:

Concept:

Here, we need to know the idea of a similar triangle, ratio, and cross-multiplication.

In similar triangles, one can be obtained from the other by uniformly scaling (enlarging or reducing), possibly with additional translation, rotation and reflection. If two objects are similar, each is congruent to the result of a particular uniform scaling of the other.

A ratio is a quantitative relation between two amounts showing the number of times one value contains or is contained within the other.

Cross-multiplication means multiplying the numerator of each fraction by the other's denominator or the other way round.

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

Let x be the length of missing segment

Step One: write the proportion ratio

56 / 56 + 24 = 105 / 105 + x

Step Two: Cross-multiplication

56 (105 + x) = 105 ( 56 + 24)

Step Three: Simplify parenthesis and expand it

56 ( 105 + x) = 105 (80)

5880 + 56x = 8400

Step Four: Subtract 5880 on both sides

5880 + 56x - 5880 = 8400 - 5880

56x = 2520

Step Five: Divide 56 on both sides

56x / 56 = 2520 / 56

x = 45

Hope this helps!! :)

Please let me know if you have any questions

Answer: Hello your question is incomplete attached below is the complete question

answer:

i) 0.8 ,   standard error =  0.0516

ii) 0.39,  standard error = 0.0425

Step-by-step explanation:

i) proportion of Juveniles reference for females ( f )

= x₁ / n₁ = 48 / 60 = 0.8

standard error = [tex]\sqrt{\frac{0.8(1-0.8)}{60} }[/tex]  = 0.0516

ii) Proportion of Juveniles reference for males ( m )

= x₂ / n₂ = 52 / 132 = 0.39

standard error = [tex]\sqrt{\frac{0.39(1-0.39)}{132} }[/tex] = 0.0425

Answer:

both

Step-by-step explanation:

Congruent shapes have equal corresponding side lengths

The true statement is (c) both

To map the quadrilaterals on one another, then the sequence of transformation must be rigid transformation

The given sequence of transformations are both rigid, and they both would map quadrilaterals STUV and ABCD

Hence, the true statement is (c) both

Read more about transformation at:

https://brainly.com/question/4289712

shaded area = area of outer figure - area of inner figure........

Answer:

Workers can plant 0.72 acres per day.

Answer:

Induction produces an electromagnetic field in a coil to transfer energy to a work piece to be heated. When the electrical current passes along a wire, a magnetic field is produced around that wire

Step-by-step explanation:

Answer:

-1/2

Step-by-step explanation:

We can use the slope formula

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

   = ( -2 - -4)/( -11 - -7)

   =( -2+4)/( -11+7)

   = 2 / -4

  = -1/2

Answer:

Step-by-step explanation:

For the question 1:

The given is a special right triangle with angle measures of

90-60-30 and side lengths represented by :

a - a[tex]\sqrt{3}[/tex] and 2a

The side length that sees 90 degrees is represented with a

The side length that sees 60 degrees is represented with a[tex]\sqrt{3}[/tex]

The side length that sees 30 degrees is represented with 2a

Here the side length that sees angle measure 60 is given as [tex]\sqrt{6}[/tex]

so a[tex]\sqrt{3}[/tex] =  [tex]\sqrt{6}[/tex] to find the value of a we divide  [tex]\sqrt{6}[/tex] with [tex]\sqrt{3}[/tex]

[tex]\frac{\sqrt{6} }{\sqrt{3} }[/tex] = [tex]\sqrt{2}[/tex]

so y = [tex]\sqrt{2}[/tex] and x = 2[tex]\sqrt{2}[/tex]

for second question

the square value of hypotenuse is equal to sum of other two side length's square value

10^2 + 6^2 = x^2

100 + 36 = x^2

136 = x^2

[tex]\sqrt{136}[/tex] = x

Answer:

Y =-4X +21

Step-by-step explanation:

x1 y1  x2 y2

4 5  3 9

(Y2-Y1) (9)-(5)=   4  ΔY 4

(X2-X1) (3)-(4)=    -1  ΔX -1

slope= -4          

B= 21          

Y =-4X +21    

Answer:

Step-by-step explanation:

Short of taking 3 hours to type out the way that I did this, let me just tell you the process. Square both sides and multiply to distribute. You end up with radicals still, so square both sides again and multiply to distribute. What you end up with is a 6th degree polynomial that has to be factored. What I got in the end were these zeros:

x = 21.41917943

x = 1.306542114+/-7186864435i

x = -1.066667927

x = 1.28038353

x = 1.28038353

x = -.2459792634

Answer:

a) The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).

b) We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.

Step-by-step explanation:

Before finding the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

Fort Defiance:

69 out of 210, so:

[tex]p_1 = \frac{69}{210} = 0.3286[/tex]

[tex]s_1 = \sqrt{\frac{0.3286*0.6714}{210}} = 0.0324[/tex]

Indian Wells:

22 out of 162, so:

[tex]p_2 = \frac{22}{162} = 0.1358[/tex]

[tex]s_2 = \sqrt{\frac{0.1358*0.8642}{162}} = 0.0269[/tex]

Distribution of the difference:

[tex]p = p_1 - p_2 = 0.3286 - 0.1358 = 0.1928[/tex]

[tex]s = \sqrt{s_1^2+s_2^2} = \sqrt{0.0324^2 + 0.0269^2} = 0.0421[/tex]

a. Find a 99% confidence interval for p1 -p2.

The confidence interval is:

[tex]p \pm zs[/tex]

In which

z is the z-score that has a p-value of [tex]1 - \frac{\alpha}{2}[/tex].

99% confidence level

So [tex]\alpha = 0.01[/tex], z is the value of Z that has a p-value of [tex]1 - \frac{0.01}{2} = 0.995[/tex], so [tex]Z = 2.575[/tex].

The lower bound of the interval is:

[tex]p - zs = 0.1928 - 2.575*0.0421 = 0.0844[/tex]

The upper bound of the interval is:

[tex]p + zs = 0.1928 + 2.575*0.0421 = 0.3012[/tex]

The 99% confidence interval for the difference of proportions is (0.0844, 0.3012).

Question b:

We are 99% sure that the true difference in proportions is between 0.0844 and 0.3012. Since all values are positive, there is significant evidence at the 1 - 0.99 = 0.01 significance level to conclude that the proportion is the Fort Defiance region is higher than in the Indian Wells region.

Answer:

i gues none... bcuz its irregular symmetry shape

Answer:

1 because it takes a full rotation to get back to a symmetrical shape. or 2 because it is the same halfway around.

Answer:

Speed of car = 49 mph (Approx.)

Step-by-step explanation:

Given:

Length of skid marked = 115 ft

Formula for skid mark = S = √21d

Where d = Length of skid marked

Find:

Speed of car

Computation:

Speed of car = √21d

Speed of car = √21(115)

Speed of car = √2,415

Speed of car = 49.1426

Speed of car = 49 mph (Approx.)

Answer:

The polynomial is:

[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]

Step-by-step explanation:

Zeros of a function:

Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.

Zeros of −3, −1, and 2

This means that [tex]x_1 = -3, x_2 = -1, x_3 = 2[/tex]. Thus

[tex]p(x) = a(x - x_{1})*(x - x_{2})*(x-x_3)[/tex]

[tex]p(x) = a(x - (-3))*(x - (-1))*(x-2)[/tex]

[tex]p(x) = a(x+3)(x+1)(x-2)[/tex]

[tex]p(x) = a(x^2+4x+3)(x-2)[/tex]

[tex]p(x) = a(x^3+2x^2-5x-6)[/tex]

Passes through the point (1,12).

This means that when [tex]x = 1, p(x) = 12[/tex]. We use this to find a.

[tex]12 = a(1 + 2 - 5 - 6)[/tex]

[tex]-12a = 12[/tex]

[tex]a = -\frac{12}{12}[/tex]

[tex]a = -1[/tex]

Thus

[tex]p(x) = -(x^3+2x^2-5x-6)[/tex]

[tex]p(x) = -x^3 - 2x^2 + 5x + 6[/tex]

9514 1404 393

Answer:

Step-by-step explanation:

We assume your function is intended to be ...

  [tex]g(x)=-2\sqrt[3]{x}-1[/tex]

The coefficient -2 does two things. Because it is negative, it causes the graph to be reflected across the x-axis. Because it is greater than 1, it causes the graph to be stretched away from the x-axis.

The added constant of -1 causes each y-value to be lower than it was, so translates the graph down 1 unit.

(n-1) where n= 3

Answer is 2

(n - 1)!

n = 3

( 3 - 1)!

2!

= 1 × 2

= 2

n = 2

(2 - 1)!

1!

= 1

n = 5

(5 - 1)!

4!

= 1 × 2 × 3 × 4

= 24

n = 6

(6 - 1)!

5!

= 1 × 2 × 3 × 4 × 5

= 120

Answered by Gauthmath must click thanks and mark brainliest

Answer:

a. 8

Step-by-step explanation:

1+1 = 2

1+2 = 3

2+3 = 5

3+5 = 8

Answer:

f(3) = 6

Step-by-step explanation:

If f(1)=10, then f(1+1)=f(1)-2

f (2) = 10 - 2 = 8

Therefore f(3) = f(2) - 2 = 8 - 2 = 6

Answer:

8

Step-by-step explanation:

Answer:

x+ 4

Step-by-step explanation:

      ____x__+4___

x+2 | [tex]x^2 + 6x + 8[/tex]

        [tex]x^2 + 2x[/tex]

        ------------

                [tex]4x + 8\\[/tex]

                 [tex]4x + 8\\[/tex]

                  --------

                     0

Answer:

x+4

Step-by-step explanation:

Answer:

Force need F2 = 2000 N

Step-by-step explanation:

Given:

Weight F1 = 25 kg = 25 x 10 = 250 N

Length L1 = 32 cm

Add new length = 4 cm

Net momentum = 0

Find:

Force need F2

Computation:

F2L2 - F1L1 = 0

F2(4) - (250)(32) = 0

F2(4) - 8000 = 0

F2(4) = 8000

F2 = 8000 / 4

F2 = 2000

Force need F2 = 2000 N