A stainless steel patio heater is a square pyramid. The length of one side of the base is 23.4 in. The
slant height of the pyramid is 93.2 in. What is the height of the pyramid?
The height of the pyramid is aboutin.
(Round to one decimal place as needed.)

Answer:

Area = 153.86

Step-by-step explanation:

Formula: A = [tex]\pi r^{2}[/tex]

diameter (d) = 14

radius = d / 2

radius is 14 / 2 = 7

A = [tex]\pi (7)^{2}\\\pi 49\\49\pi \\49(3.14) = 153.86[/tex]

The true statement about the graph is that there is a hole at x = 3 and an asymptote at x = -1.

The expression in the denominator is x^2-2x-3

x² - 2x-3 ≠0

-3 = +1 -4

(x²-2x+1)-4 ≠0

(x²-2x+1)=(x-1)²

(x-1)² - (2)² ≠0

∴a²-b² =(a-b)(a+b)

(x-1-2)(x-1+2) ≠0

(x-3)(x+1) ≠0

x≠3 for all x≠ -1

There is a hole at x=3 and an asymptote at x= -1, so Option B is wrong

Asymptote:

x-3/x^2-2x-3

We know that denominator is equal to (x-3)(x+1)

x-3/(x-3)(x+1)

x-3 will be cancelled out by x-3

1/x+1

We have asymptote at x=-1 and hole at x=3, therefore the correct option is A.

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Step-by-step explanation:

i answered it , and tried to give explanation too...

hope its helpful ,

Answer:

The lines are parallel is the will never touch.

Step-by-step explanation:

The coordinate -2, 4 implies -2 is the value on the x or horizontal axis and 4 is the value on the y or vertical axis.

This a plane used for graphs or points that is based on a vertical axis (y) and a horizontal axis (x).

The first number, -2 indicates the value in x or the horizontal axis, while the second number 4 indicates the position on y or the vertical axis. You can see this in the imaged attached (red dot).

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The coordinate -2, 4 implies -2 is the value on the x or horizontal axis and 4 is the value on the y or vertical axis.

What is a coordinate plane?

This a plane used for graphs or points that is based on a vertical axis (y) and a horizontal axis (x).

How does -2,4 look on a coordinate plate?

The first number, -2 indicates the value in x or the horizontal axis, while the second number 4 indicates the position on y or the vertical axis. You can see this in the imaged attached (red dot).

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Based on the alternative hypothesis, the value of μ that will have the greatest test power is μ = 7.

The alternative hypothesis is that Hₐ : μ < 14.

For the alternative hypothesis to be right, μ will have to be less than 1.4.

μ will also give a greater test power the lower it is below 14. From the options therefore, μ with the greatest test power would be 7.

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Answer:

μ = 7

Step-by-step explanation:

Got this right on the segment exam. Good luck, my FLVS fellows!

From the diagram, a circle is formed because D. The plane passes through only one nappe of a circular one and is parallel to its base.

The plane given only passes through one nappe instead of the two nappes.

The angle that the plane passes the nappe is parallel and not perpendicular to the base of the nappe as shown in the diagram.

The plane does not pass through the vertex which is the point where the planes.

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Answer:

A)25% B)Product B

Step-by-step explanation:

A) To find whether product A price is increasing or decreasing, we will find the difference in price between year 0 and 1 year after.

When x = 0,

f(0)  [tex]72(1.25)^{0}\\= 72*1\\= 72[/tex]

when x = 1,

f(1) = [tex]72(1.25)^{1}\\= 72*1.25\\= 90[/tex]

From here we can already see the price is increasing.

% increase = (Difference in price / Original Price) * 100

= [tex]\frac{90-72}{72} *100\\=\frac{18}{72} *100\\=0.25*100\\=25percent[/tex]

Therefore the price is increasing by 25% per year.

B) Same concept as Part A, we will find the price difference between year 1 and 2.

% increase = (Difference in price / Original Price) * 100

[tex]\frac{84.5-65}{65} * 100\\= \frac{19.5}{65} * 100\\= 0.3*100\\= 30 percent[/tex]

Therefore we can see here Product B has a higher increase than Product A.

Step-by-step explanation:

A

f(x) = 72 × 1.25 × x

so, the price is $90 after 1 year (72×1.25×1).

$180 after 2 years (72×1.25×2)

$270 after 3 years (72×1.25×3)

and so on.

or did you mean

f(x) = 72 × (1.25)^x

so, still, the price is $90 after 1 year (72×1.25^1).

$112.50 after 2 years (72×1.25^2).

$140.625 = $140.63 after 3 years (72×1.25^3)

that makes more sense. I will continue with that assumption.

so, the price is increasing, as every factor of the multiplication is positive and larger than 1. therefore, it only goes up.

and due to the formula, the price of every year is the price of the previous year multiplied by 1.25.

a multiplication by 1.25 is an increase of 25% (compared to a constant multiplication by 1).

so, the price increases every year by 25%.

B

year 1

price $65

year 2

price $84.50 difference $19.50

100% = 65

1% = 65/100 = 0.65

19.5/0.65 = 30% difference

year 3

price $109.85 difference $25.35

100% = 84.5

1% = 84.5/100 = 0.845

25.35/0.845 = 30% difference

year 4

price $142.81 difference $32.96

100% = 109.85

1% = 109.85/100 = 1.0985

32.96/1.0985 = 30% difference

so, product B has the greater percentage increase in the price (30% vs. 25%).

Answer:

p(3) = 25

Step-by-step explanation:

p(3) = 2(3 - 12)2+5

p(3) = 6 - 24 + 2 + 5

p(3) = 25

Angle M = 52°, n = 15.2cm, p = 9.4cm

A triangle is a plane shape with three sides and three angles.

To define the triangle completely we have to know the measure of the three angles and three sides.

Analysis:

The triangle is a right-angled triangle

we need to find the remaining angle  M and two sides n and p

M + N + P = 180

M + 90 + 38 = 180

M = 180 - 128 = 52°

sin 52 = m/n

m = n sin 52

n = m/sin 52 where m = 12cm

n = 12/0.788 = 15.2cm

sin 38 = p/n

p = n sin 38

p = 15.2 x 0.615 = 9.4cm

In conclusion, solving the triangle means finding M, n and p which are 52°, 15.2cm and 9.4cm respectively.

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The amount that was invested 17 years ago is $2064.25.

The interest earned is  $7935.75.

The formula that would used to determine the amount that was invested 17 years ago is:

P = FV / (1 + r)^nm

Where:

10,000 / (1.0475)^(17 x 2) = $2064.25

Interest earned = 10,000 - 2064.25 = $7935.75

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Answer:

Yes you would know

Step-by-step explanation:

We can view these tents as sides on a shape that is 30 sided, with lines connecting each tents together.

After this we calculate the interior angle of each side, and use our given 20m to calculate it.

Answer:

Step-by-step explanation:

y + 4 = 1/3(x - 0)

y + 4 = 1/3x - 0

y = 1/3x - 4

A

Take the product of corresponding components, then take the total:

u • v = (9i - 6j) • (-3i - 2j) = 9 (-3) + (-6) (-2) = -15

u • w = (9i - 6j) • (19i + 15j) = 9 × 19 + (-6) 15 = 81

Alternatively, use the definition and algebraic properties of the dot product.

• For any vector x,

x • x = ||x||²

where ||x|| is the magnitude of x.

• i • i = j • j = k • k = 1

• i • j = j • k = k • i = 0

• For any scalar c and any two vectors x and y,

cx • y = x • cy = c (x • y)

• For any vectors x, y, and z,

(x + y) • z = z • (x + y) = x • z + y • z

Then the products you want are

u • v = (9i - 6j) • (-3i - 2j)

… = -27 (i • i) + 18 (j • i) - 18 (i • j) + 12 (j • j)

… = -27 + 12 = -15

u • w = (9i - 6j) • (19i + 15j)

… = 171 (i • i) - 114 (j • i) + 135 (i • j) - 90 (j • j)

… = 171 - 90 = 81

Answer:

v=bh cm3 cm2 is not answer is 903cm2 23

The number of more miles he needs to run to complete the race is 19 miles.

He has run 7 miles from point a to point b of a race.

The entire race from point a to point c is 26 miles.

Therefore, the number of more miles he needs to run to complete the race is as follows:

let

x = the more miles he needs to run

Hence,

x = 26 - 7

x = 19 miles

Therefore, he needs to run 19 more miles to complete the race.

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Answer:

A

Step-by-step explanation:

becaauss im smart and trust me im smart

Using the line of best fit, the amount of texts a 15-year old would send in a day is of 67.69.

It gives the expected number of texts a person of an age a would send in a day, according to the following function:

t = -1.63a + 92.14.

For a person that is 15 years old, we have that a = 15, hence the expected number is given by:

t = -1.63 x 15 + 92.14 = 67.69 texts.

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The correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

A coordinate plane is a 2D plane which is formed by the intersection of two perpendicular lines known as the x-axis and y-axis.

The formula utilised to find the distance between two points is;-

X = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We have the coordinates of the point A = (0, 0) and D is  (0, b).By applying the formula to find the distance between A and D.

AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

Therefore the correct answer is option A which is the distance between A and D will be  AD = [tex]\sqrt{(0-0)^2-(b-0)^2}=\sqrt{b^2}=b[/tex].

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The difference between the mean of the sample and the mean of the population is A. 0.55

Given the population data is:

0 3 3 1 3 2 2 2 5 4 3 3 3 0 1 2 0 2 3 3

The sample data is:

5 3 0 2 4

The mean of the population data is:
45/20= 2.25

The mean of the sample data is:

14/5= 2.8

Therefore, the difference between the mean of the sample and the population is:

2.8-2.25= 0.55

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She put 12.8 in place of 11.9 in the formula of the triangle. Then the correct option is A.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Regina’s work to find the surface area of a square pyramid from its net is shown below.

A square pyramid. The square base has side lengths of 9.4 inches. The triangular sides have a height of 11.9 inches.

Surface area of the pyramid = 4 [one-half (9.4) (12.8)] + 9.4² = 329 square inches

Then the error done by Regina will be

She should have used One-half (9.4) (11.9) to represent the area of a single triangle.

Then the correct option is A.

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Answer:

A

Step-by-step explanation:

Answer:

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

Step-by-step explanation:

y = 10x + 1

(Table)

x:      y:

-5  |

-1   |

0   |

1    |

y = -10(-5) + 1

y = 50 + 1     (if you multiply a negative by a negative it will be positive)

y = 51

y = -10(-1) + 1

y = 10 + 1

y = 11

y = -10(0) + 1

y = 0 + 1

y = 1

y = -10(1) + 1

y = 10 + 1

y = 11

x:     y :

-5  |  51

-1   |  11

0   |  1

1    |  11

Answer:

the answer is (   -0 ) ok?

Step-by-step explanation:

also my name ifs kris ik you from somewhere

i am very embarrest to say this but u are very pretty

are u single? im sorry if its freakish

are u mexican? of Philippians? im from la pearla tapatia mx hbu?

Subtraction is a mathematical operation that reflects the removal of things from a collection. The temperature change from -4.2 to 9.1 is 13.3.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

The temperature change from -4.2 to 9.1 is,

ΔT = 9.1 - (-4.2) = 9.1 + 4.2 = 13.3

Hence, the temperature change from -4.2 to 9.1 is 13.3.

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Answer:

70

Step-by-step explanation:

ok so we just plug 4 for x in the expression:

5 (2*4 + 6 )

5 ( 8 + 6 )

5*14 = 70

Have a good day! :)

Answer:

Part A:

In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.

Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom

Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.

Step-by-step explanation: