f(x) = (x + 3)*(x + 1)

The height of the flagpole in this problem is calculated as follows:

12.9 feet.

The height of the flagpole in this problem is obtained using similar triangles, as shown by the image given at the end of the answer.

Similar triangles are used because the equivalent sides have proportional side lengths.

From the image given at the end of the answer, the equivalent sides of each triangle are given as follows:

Then the proportional equation is given as follows:

8/20 = 5.1667/x

Applying cross multiplication, the height of the flagpole is calculated as follows:

8x = 20 x 5.1667

x = 20 x 5.1667/8

x = 12.9 feet.

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Answer:

blahhfhdhdhhshshhdhdhdhdhdhshhshhshshdh

Using the t-distribution, the 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

The confidence interval is:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

In which:

The critical value, using a t-distribution calculator, for a two-tailed 80% confidence interval, with 20 - 1 = 19 df, is t = 1.3277.

The other parameters are given as follows.

\(\overline{x} = 43, s = 6, n = 20\).

Hence, the bounds of the interval are given by:

\(\overline{x} - t\frac{s}{\sqrt{n}} = 43 - 1.3277\frac{6}{\sqrt{20}} = 41.22\)

\(\overline{x} - t\frac{s}{\sqrt{n}} = 43 + 1.3277\frac{6}{\sqrt{20}} = 44.78\)

The 80% confidence interval for the mean number of jelly beans is (41.22, 44.78).

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Answer:

24

Step-by-step explanation:

The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.

6 x 8 = 48

48 / 2 = 24

9514 1404 393

Answer:

  (a)  -10d^4 +17d^2s -6s^2

Step-by-step explanation:

Use the distributive property to eliminate parentheses, then collect terms.

  \((-2d^2+s)(5d^2-6s)=-2d^2(5d^2-6s)+s(5d^2-6s)\\\\=(-2d^2)(5d^2) +(-2d^2)(-6s)+s(5d^2)+s(-6s)\\\\=-10d^4+12d^2s+5d^2s-6s^2\\\\=\boxed{-10d^4+17d^2s-6s^2}\)

Answer:

x = -8, 8

Step-by-step explanation:

Set y = 0 to find the x intercepts

0 = x^2 -64

Add 64 to each side

64 = x^2

Take the square root of each side

±sqrt(64) = sqrt(x^2)

±8  =x

Answer:

x = 4.55

Step-by-step explanation:

Tan(75) = 17/x

3.73 = 17/x

x3.73 =17

x = 4.55

something noteworthy is that, the y-coordinate for Line 1 is the same, well that simply means that Line 1 is a horizontal line, anything perpendicular to a horizontal line is simply a vertical line, Check the picture below.

Answer:

12$

Step-by-step explanation: 100/6 then multiply it by .72=12$

Answer

$12

Step-by-step explanation:

theres a picture on how I did it that I linked.

Answer:

I think the answer is "6" but I could be wrong.

Answer:

Volume V = 18.735 m3

Step-by-step explanation:

hope this helps

The volume of the circular cylinder be,

⇒ 62.8 mm³

Given that,

For a circular cylinder,

Height = 5 mm

Radius = 2 mm

Then we have to find the volume of this circular cylinder

Since we know that,

The right circular cylinder is a cylinder with circular bases that are parallel to each other. It's a three-dimensional form. The axis of the cylinder connects the centers of the cylinder's two bases.

This is the most frequent sort of cylinder encountered in daily life. The oblique cylinder, on the other hand, does not have parallel bases and resembles a skewed construction.

volume of circular cylinder = πr²h

Here we have,

r = 2 mm

h = 5 mm

Now put the values into the formula we get,

Volume = π x 2² x 5

             = 62.8 mm³

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Answer and explanation:

We add both equations to get a simultaneous equation

y+4z=16

2y+5z=32

We solve the equations using elimination method:

Multiply equation 1 by 5 and equation 2 by 4 to cancel out z

5y+20z=80

8y+20z=160

-3y=-80

Y=26.7

Substitute y=26.7 in equation 1

26.7+4z=16

4z=16-26.7

z= -2.67

y+z=26.7+(-2.67)= 24.03

The length of the missing side of the triangle is 6 cm.

A triangle is a polygon with three sides and three angles. Types of triangles are isosceles, equilateral, obtuse and scalene triangle.

The perimeter of a triangle is the sum of all the sides of the triangle. Let x represent the missing length. Also, let the other sides be 3 cm and 10 m.

Hence:

Perimeter = x + 3 + 10

19 = x + 13

x = 6 cm

The length of the missing side of the triangle is 6 cm.

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Answer:

3 sqrt(10)

Step-by-step explanation:

To find the distance, we use the formula

d = sqrt( ( x2-x1)^2 + (y2-y1)^2)

  = sqrt( ( 2- -1)^2 + ( -4-5)^2)

  = sqrt( (2+1)^2 +(-4-5)^2)

  = sqrt( 3^2 +(-9)^2)

  = sqrt( 9+81)

 = sqrt(90)

= sqrt ( 9*10)

  3 sqrt(10)

Answer:

170.097

Step-by-step explanation:

1 ounce = 28.3495 grams.

28.3495 x 6 = 170.097

Answer:

170.097 grams            Mark me as brainliest!!!!

Step-by-step explanation:

If a polynomial function has integer coefficients, the every rational zero of the function has the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.

The rational zero theorem says that if a polynomial has integer coefficients then any rational zeros must be of the form p/q where p is the factor of the constant term and q is the factor pf the leading coefficients.

The rational zero theorem is used to determine the rational roots of a polynomial function.

Rational Zero Theorem statement:-

The rational zero theorem states that each rational zero(s) of a polynomial wit integer coefficients

f(x) = anxⁿ + an-1xⁿ⁻¹ + ... + a₂x² + a₁x + a₀ is of the form p/q where,

p is a factor of the constant a₀,

q  is a factor of the leading coefficient an,

and p and q are relatively prime.

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Step-by-step explanation:

That depends on the tension on the tape.

As defined, the tape, due to gravity would form a catenary, a curve, so the measurement would be less than 30 m. The tension on the tape would affect the degree to which the measurement would be less. A tension well within the limits of the steel used to make the tape would be would be well within the accuracy of the tape. Over 30 m, the tape is likely +/- 2 mm, the recorded value could be 30m, +1mm/-3mm. If you need more than that degree of accuracy, you don’t use a tape.

The union of the sets is the union of these two sets

Ex.

Set 1: {1, 2, 3}

Set 2: {2, 3, 4}

Intersection: {2, 3}

Union: {1, 2, 3, 4}

So, the union of the (intersection and union) is:

{1, 2, 3, 4} which is simply the initial union of these two sets.

The required union of the union of two sets (A ∪ B) and the intersection of these two sets (A ∩ B) is simply A ∪ B.

Sets are an orderly collection of items in mathematics that can be expressed in set-builder or roster form.

Let A and B be two sets. Then, the union of A and B is the set of all elements that are in A or in B or in both. We denote this by A ∪ B.

The intersection of A and B is the set of all elements that are in both A and B. We denote this by A ∩ B.

Now, to find the union of the union of two sets (A ∪ B) and the intersection of these two sets (A ∩ B), we can use the following formula:

(A ∪ B) ∪ (A ∩ B) = A ∪ B

The reason for this is that the intersection of A and B is a subset of both A and B, so it is also a subset of their union (A ∪ B). Therefore, taking the union of (A ∪ B) and (A ∩ B) just gives us A ∪ B again.

So, the union of the union of two sets (A ∪ B) and the intersection of these two sets (A ∩ B) is simply A ∪ B.

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Answer:

-78-(-34)+(-14)

Step-by-step explanation:

-78+(+34)+(-14)

-78-14

-92+34

-58

And thats the answer needed there for it would be the last expression.

The equation of the line is passing through a point (6, 2) and is perpendicular to the line 3x-2y = 7 is y = -2x/3 + 8

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point

Given that, a line is passing through a point (6, 2) and is perpendicular to the line 3x-2y = 7, we need to find the equation of the line,

The line is

3x-2y = 7

Converting into slope-intercept form,

3x-2y = 7

2y = 3x - 7

y = 3x/2 - 7/2

We know that, the slopes of two perpendicular lines are negative reciprocal of each other,

Therefore, the slope of the asked line = -2/3

Therefore, the equation of the asked line is, y = -2x/3 + c....(I)

Put x = 6 and y = 2 in equation to find c,

2 = -4 + c

c = 8

Therefore, put c = 8 in equation (i)

y = -2x/3 + 8

Hence, the equation of the line is passing through a point (6, 2) and is perpendicular to the line 3x-2y = 7 is y = -2x/3 + 8

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Answer: TRS is congruent to CSE

Step-by-step explanation:

You can find congruent angles by locating the ones with the same number of lines. You want to start with the angles in the order of TRS.

Angle T has 1 line, so is congruent to C, which also has 1 line.

Angle R has 2 lines, so is congruent to S, which also has 2 lines.

Angle S has 3 lines, so is congruent to E, which also has 3 lines.

You want to keep these in the same order, so TRS, in the order of 1-2-3 lines, is congruent to CSE, also in the order of 1-2-3 lines (aka congruency markings).

Answer:

I said it 2 million times and I will say it again. LACK OF INFORMATION.

Answer:

n = 6

General Formulas and Concepts:

Pre-Alg

Step-by-step explanation:

Step 1: Define equation

-15 + n = -9

Step 2: Solve for n

Step 3: Check

Plug in n to verify it's a solution.

The domain of the function above is [-2, 3].

The range of the function above is [-2.5, 2].

The intervals over which the function is increasing is [-2, 1.5] U [-2.5, 2].

The intervals over which the function is decreasing is [1.5, -2.5].

In Mathematics and Geometry, a domain refers to the set of all real numbers for which a particular function is defined.

Furthermore, the vertical extent of any graph of a function represents all range values and they are always read and written from smaller to larger numerical values, and from the bottom of the graph to the top.

By critically observing the graph of this rational expression (function)   shown in the image attached below, we can reasonably and logically deduce the following domain and range:

Domain = [-2, 3] or -2 ≤ x ≤ 3.

Range = [-2.5, 2] or -2.5 ≤ y ≤ 2.

Additionally, the intervals over which the function is increases over the interval [-2, 1.5] and [-2.5, 2], while it decreases over the interval [1.5, -2.5].

In conclusion, the given function is not constant over any interval.

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Answer:

This is not collage level, its middle school level lol

Step-by-step explanation:

Answer:

x=0

Step-by-step explanation: