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:

deductive reasoning

Step-by-step explanation:

it is based on what is true based on what happened before

Answer:

2 option, deductive reasoning

Step-by-step explanation:

based on true events

Answer:

The period is 2π

Explanation:

The period is 2 times pi because 2 is the standalone-term multiplied by pi to get the period.

The compound interest when $7300 when interest is compounded semi annually is $2482.70.

The compound interest when $7300 when interest is compounded monthly is $1972.73.

An investment earns compound interest when both the amount invested and the interest accrued increases in value at predetermined time intervals.

The formula to represent compound interest is :

FV - amount invested

FV = P (1 + r)^nm

a. 7300 x [1 + (0.1/2)]^(3 x 2) = 9782.70

Compound interest = 9782.70 = 7300 = $2482.70

b. 7300 x [1 + (0.08/12)]^(12 x 3) = 9272.73

9272.73 - 7300 = $1972.73

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The length of the similar tube will be 5041 cm.

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the circle in a two-dimensional plane is called the area of the circle.

Given that:-

The radius of the first tube will be calculated as:-

1200 = 2πr ( 13 )

r = 12 / 2π x 113

r = 14.7 cm

Now the length of the second tube will be:-

500 = 2π x 14.7 x L

L = 500 / 2π x 14.7

L = 5.41 cm.

Therefore the length of a similar tube will be 5041 cm.

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Answer:

x³ - ((x+1)(x+1))

Step-by-step explanation:

x³ + 2x -3 - x² - 2x + 4

x³ - x² + 1

x³ - ((x+1)(x+1))

Answer:

x^3−x^2+4x−7

Step-by-step explanation:

Hope this helps! Have a great day!!

The factors of the expression x^2 - 9x + 14 are (x - 7) and (x - 2)

The expression is given as:

x^2 - 9x + 14

Expand

x^2 - 2x - 7x + 14

Factorize the expression

x(x - 2) - 7(x - 2)

Factor out x - 2 from the expression

(x - 7)(x - 2)'

Hence, the factorized expression of x^2 - 9x + 14 is (x - 7)(x - 2)'

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Answer:

80 oz

Step-by-step explanation:

Answer:

0.05

explanation

value means total value

so it's 5*0.01

=0.05

Answer:

A.) True

Step-by-step explanation:

A set of outputs and inputs becomes a function when there is only one output per input. In this case, each "x" value only has one "y" value, making it a function.

Answer:

13

Step-by-step explanation:

The way to find the distance between two points on the coordinate plane is to use the distance formula, which is basically a way of applying the Pythagorean Theorem.

The distance formula is [tex]\sqrt{(x_{1}- x_{2} )^2 + (y_{1}- y_{2})^2}[/tex]. Let's say the coordinate (3, -8) is (x1, y1) and the coordinate (8, 4) is (x2, y2). We can plug these values into the formula:

[tex]\sqrt{(3- 8 )^2 + (-8 - 4)^2}\\\sqrt{(-5)^{2} + (-12)^{2}} \\\sqrt{25+144} \\\sqrt{169} \\13[/tex]

So, the distance between the two points is 13.

If ɑ and β are the roots of x² + bx + c = 0, then we can write

x² + bx + c = (x - ɑ) (x - β)

Expanding the right side gives

x² + bx + c = x² - (ɑ + β) x + ɑβ

so that ɑ + β = -b and ɑβ = c.

Recall that for all real numbers m and n,

(m + n)² = m² + 2mn + n²

a) It follows that

(i) ɑ² + β² = (ɑ + β)² - 2ɑβ = (-b)² + c = b² + c

(ii) (ɑ - β)² = ɑ² - 2ɑβ + β² = b² + c - 2c = b² - c

b) I assume you mean to find the quadratic whose roots are ɑ² + β² and (ɑ - β)² (and not (ɑ - 3)²). The simplest quadratic of this form is

(x - (ɑ² + β²)) (x - (ɑ - β)²)

Using the results from part (a), this becomes

(x - (b² + c)) (x - (b² - c))

and expanding, we get

x² - (b² + c + b² - c) x + (b² + c) (b² - c)

= x² - 2b² x + b⁴ - c²

The number of sides equals the number of the line of symmetry. Then the correct option is B.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

The relationship between the number of sides a regular polygon has and the number of lines of symmetry will be

In a regular polygon, the amount of symmetry lines is equal to the total of sides.

Then the correct option is B.

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Answer:

B They are the same value!

Step-by-step explanation:

Why? Well go look in your lesson although because i got this correct i forgot ago and yeah (TRUST++)

The range exist on all real values. This can be written as (-infty, infty)

The range is the value of the dependent variable for which it exists. Given the following functions

f(x) = |x| + 9 and;

g(x) = -6

Determine the sum

(f+g)(x) =  |x| + 9 + (-6)

(f+g)(x) = |x| + 9 -6

(f+g)(x) = |x| + 3

Determine the range of the function

The range exist on all real values. This can be written as (-infty, infty)

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Answer:

a = 6

Step-by-step explanation:

g(x) = 5x - 2

h(x) = √(x + 3)

g(h(x)) = 5[tex]\sqrt{x+3}[/tex] - 2

g(h(a)) = 5[tex]\sqrt{a+3}[/tex] - 2

5[tex]\sqrt{a+3}[/tex] - 2 = 13

5[tex]\sqrt{a+3}[/tex] = 15

[tex]\sqrt{a+3}[/tex] = 3

( [tex]\sqrt{a+3}[/tex] )² = 3²

a + 3 = 9

a = 6

Answer:

Step-by-step explanation:

angle c

The angle of the triangle with the greatest measure is ∠A

A triangle is a polygon with three sides and three angles.

Analysis:

For the triangle, ABC the angle facing the side with the greatest measure is the angle with the greatest measure. From the given information side BC is the side with the greatest measure and the angle facing it is ∠A.

In conclusion, the angle with the greatest measure is ∠A

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The given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

A square is a quadrilateral with all the sides equal and all the four sides are perpendicular to each other.

We know that it is a quadrilateral as a quadrilateral is having four sides and the sum of the angles is 180 degrees.

The given figure is a parallelogram as opposite sides of the figure are parallel and equal.

The given figure is a rhombus as all the sides are parallel and equal.

The given figure can not be a square as in the square all the four sides are perpendicular to each other.

Therefore given figure is quadrilateral, parallelogram, and a  rhombus but not a square. So brett is not correct.

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Answer:

Circle D

Step-by-step explanation:

The circumference of a circle can be calculated by multiplying the diameter by π.  Therefore, the circle with the greatest circumference will be the circle with the greatest diameter.

The only circle for which we have been told the radius is Circle D.  The diameter of a circle is twice the radius, therefore the diameter of Circle D is 50 in × 2 = 100 in

There are 12 inches in 1 ft.

Therefore, the circumferences of the circles in order from smallest to largest is:  B < C < A < D

Proof

Diameters

Using an exponential function, it is found that the multiplier that would allow you to predict the population of bacteria after 2 hours is of 9.

An exponential function is modeled by:

[tex]y = ab^x[/tex]

In which:

In this problem, the bacteria triples every hour, hence the rate of change is b = 3, and the equation is:

[tex]y = a(3)^x[/tex]

Hence, after 2 hours:

[tex]y = a(3)^2 = 9a[/tex]

Which means that the multiplier is of 9.

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Answer:

0.2÷3.0=15.0

Step-by-step explanation:

Answer:

the value of b to 2

The value of b changes to 2.

The correct option is C.

A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included.

We have,

Equation: h(x) = -x + 5

Now, using the slope intercept form

y = mx + b

From which we get

m = -1 and b=5

Now, we need to move the graph 3 units down then we need to subtract given function by 3, we get

y = -x+5 -3

y = -x +2.

Here y-intercept is 2.

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There 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear order, or if the set is already ordered, a rearrangement of its elements.

Here, total number of cards = 52

         Number of Withdrawn cards = 3

Possibilities of different sequences of 3 playing cards = 52 X 51 X 50

                                                                                          = 132600

Thus, there 1,32,600 possibilities to withdrawn 3 different sequence of playing cards from 52 cards.

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Answer:

132,600

Step-by-step explanation:

To determine the number of different sequences of 3 playing cards from a 52-card deck, we can use the formula for permutations, which is given by:

P(n, k) = n! / (n-k)!

Where n is the total number of items (in this case, the number of cards in the deck) and k is the number of items chosen (in this case, 3 cards).

Plugging in the values:

n = 52 (total number of cards in the deck)

k = 3 (number of cards chosen)

P(52, 3) = 52! / (52-3)!

Calculating the factorial terms:

52! = 52 x 51 x 50 x ... x 3 x 2 x 1

(52-3)! = 49! = 49 x 48 x ... x 3 x 2 x 1

Simplifying the equation:

P(52, 3) = 52 x 51 x 50

P(52, 3) = 132,600

Therefore, there are 132,600 different sequences of 3 playing cards that can be formed from a single 52-card deck.

Answer:

72

Step-by-step explanation:

54/2(3)−3^2

= 54/2(3)−3^2

=72

Answer:

Step-by-step explanation:

x² + 1 = 0

1× x²+1=0

x=±√(−1×1)

x=±√−1 (NO REAL SOLUTION)

From the calculation below, the actual difference, if Robert had read the numbers correctly, is 168.

Let X represents the number from which subtrahend is subtracted.

Therefore, we can calculate X as follows:

X – 17 = 222

X = 222 + 17 = 239

If the subtrahend is read correctly as 71 and then subtracted from 239, we have:

Actual difference = 239 – 71

Actual difference = 168

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The simplified value is shown below:

Exponent refers to the number of times a number is used in a multiplication. Power can be defined as a number being multiplied by itself a specific number of times.

First,

3²*4³*[tex]2^{-1}[/tex]/(3*4)²

=9*64/144*2

= 576/288

=2

Second,

(3*2)^4 *[tex]3^{-3}[/tex]/2³*3

=1296/8*81

=1296/648

=2

Third,

[tex]3^{-3} *2^{-3} *6^{3} /(4^{0} )^{2}[/tex]

= [tex]6^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]

= [tex]2^{3}* 3^{3} /(1 )^{2} *3^{3} *2^{3}[/tex]

=1

Fourth,

[tex]2^{4}* 3^{5} /(2*3)^{5}\\=2^{4}* 3^{5} /2^{5}*3^{5}[/tex]

= 1/2

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Using it's concept, it is found that the probability of being a girl and choosing lemonade is given by:

b. 0.2.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, out of 130 people, 26 are girls who choose lemonade, hence the probability is given by:

p = 26/130 = 0.2, which means that option b is correct.

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The statement that can never be true is the data set contains a value of 3.

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The end of the first line represents the minimum number and the end of the second line represents the maximum number.

minimum number = 8

maximum number = 22

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