Find the volume of a pyramid with a square base, where the side length of the base is

16.6

m

16.6 m and the height of the pyramid is

10.1

m

10.1 m. Round your answer to the nearest tenth of a cubic meter.

Answer:

But the 2lbs.

Step-by-step explanation:

Divide $9.19 by 2 and you get 4.595 which would be the cheapest option out of the 3 because the 1lb is $7.05 and the 3lb is $5.13.

You're welcome.

The quadratic function for the value of David's investment indicates;

(i) $45,000

(ii) 9.375 months

A quadratic function is a function that can be expressed in the form; f(x) = a·x² + b·x + c, where a ≠ 0, and a, b, and c are numbers.

The model of the value of the investment in the bank obtained from the amount of his retirement funds David invested in the bank can be presented as follows;

a = 45 + 75·t - 4·t²

Where;

a = The value of the investment in thousand of dollars after t months

t = The number of months of the investment

(i) The initial amount David invested can be found by plugging in t = 0, in the function for the amount David invested in the bank, as follows;

a = 45 + 75 × 0 - 4 × 0² = 45

The initial amount David invested is; a = $45,000

(ii) The number of months it takes for David investment to reach a maximum value can be found from the quadratic function as follows;

The number of months t(max) at the maximum amount is; t(max) = -75/(2 × (-4)) = 9.375

Therefore, it will take 9.375 months for David's investment to reach a maximum value

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Answer:

x = 16

Step-by-step explanation:

7(x + 2) = 6(x + 5)

First, to start solving this problem, we have to distribute the "7" to the "x + 2" in the parenthesis and the "6" to the "x + 5" in the parenthesis.

7x + 14 = 6x + 30

Next, let's subtract "6x" from both sides of this equation!

x + 14 = 30

Now, we have to subtract "14" from both sides of the equation.

x = 16

Lastly! Let's make sure our "x=" equation is correct by inputting our value into the "x" values.

7(16 + 2) = 6(16 + 5)

7(18) = 6(21)

126 = 126

Since our equations equal each other we know that our x-value is correct!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Answer:

9=11

Step-by-step explanation:

Answer:

3.999 millimeters.

Step-by-step explanation:

To find the height of the cylinder, we can use the formula for the volume of a cylinder:

V = πr²h

Given that the radius (r) of the cylinder is 4 millimeters and the volume (V) is 200.96 cubic millimeters, we can substitute these values into the formula and solve for the height (h).

200.96 = π(4²)h

200.96 = 16πh

To solve for h, we can divide both sides of the equation by 16π:

200.96 / (16π) = h

Using a calculator, we can calculate the approximate value of h:

h ≈ 200.96 / (16 × 3.14159)

h ≈ 3.999

Therefore, the height of the cylinder is approximately 3.999 millimeters.

Multiply total hours worked by pay rate:

20.5 x $13.75 = $281.88

Answer:

2+2=4

Step-by-step explanation:

I don't even know why this is a question

Answer:

2+2  is 4 ok tell ur thecher it is four

Step-by-step explanation: lol

The expression that is equivalent to StartRoot \(8 x^7 y^8\) EndRoot is (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2.

To understand why this is the case, let's break down each expression and simplify them step by step:

StartRoot \(8 x^7 y^8\) EndRoot:

We can rewrite 8 as \(2^3\), and since the square root can be split over multiplication, we have StartRoot \((2^3) x^7 y^8\) EndRoot. Applying the exponent rule for square roots, we get StartRoot \(2^3\) EndRoot StartRoot \(x^7\) EndRoot StartRoot \(y^8\) EndRoot.

Simplifying further, we have 2 StartRoot \(2 x^3 y^4\) EndRoot StartRoot \(2^2\) EndRoot StartRoot \(x^2\) EndRoot StartRoot \(y^4\) EndRoot. Finally, we obtain 2 \(x^3 y^4\) StartRoot 2 x EndRoot, which is the expression in question.

(\(2 x y^2\) StartRoot 8 x^3 EndRoot)^2:

Expanding the expression inside the parentheses, we have \(2 x y^2\)StartRoot \((2^3) x^3\) EndRoot. Applying the exponent rule for square roots, we get \(2 x y^2\) StartRoot \(2^3\) EndRoot StartRoot \(x^3\) EndRoot.

Simplifying further, we have \(2 x y^2\) StartRoot 2 x EndRoot. Squaring the entire expression, we obtain (\(2 x y^2\) StartRoot 2 x EndRoot)^2.

Therefore, the expression (\(2 x^3 y^4\) StartRoot 2 x EndRoot)^2 is equivalent to StartRoot \(8 x^7 y^8\) EndRoot.

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Answer:

71.875

Step-by-step explanation:

p = q

180 - 36.25 = 143.75

p + q = 143.75

143.75 ÷ 2 = 71.875

Answer:

x=11

QS = 76

Step-by-step explanation:

Since R is the midpoint of QS,

QR = RS

2x+16 = 5x-17

5x-2x = 17+16 = 33

3x = 33

Divide by 3,

x = 11

QS = 2x+16+5x-17 = 7x-1 = (7*11)-1 = 77-1 = 76

Complete Question

The complete question is shown on the first uploaded image

Answer:

a

\(33.55 <  \mu < 35.5\)

b

\(34.03 <  \mu < 34.969 \)

c

Generally the width at  n =  49 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.952 \)

     \(w =  1.904 \)

Generally the width at  n =  196 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.4687 \)

     \(w =  0.9374  \)

d

The correct option is E

Step-by-step explanation:

From the question we are told  that

   The sample mean is  \(\= x  =  34.5\)

    The standard deviation is  \(s =  3.4\)

Generally given that the confidence level is 95% then the level of significance is  

       \(\alpha = (100 -  95)\%\)

=>     \(\alpha = 0.05 \)

Generally from the normal distribution table the critical value  of  \(\frac{\alpha }{2}\) is  

   \(Z_{\frac{\alpha }{2} } =  1.96\)

Considering question a

From the question  n  =  49

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }\)

=>   \(E = 1.96*  \frac{ 3.4 }{\sqrt{49} }\)

=>   \(E =  0.952 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  p <  \=x  +E\)

      \(34.5 -0.952 <  p < 34.5 + 0.952\)

=>    \(33.55 <  \mu < 35.5\)

Considering question b

From the question  n  =  196

Generally the margin of error is mathematically represented as  

      \(E = Z_{\frac{\alpha }{2} } *  \frac{s }{\sqrt{n} }\)

=>   \(E = 1.96*  \frac{ 3.4 }{\sqrt{196} }\)

=>   \(E =  0.4687 \)

Generally 95% confidence interval is mathematically represented as  

      \(\= x -E <  p <  \=x  +E\)

      \(34.5 -0.4687 <  p < 34.5 +0.4687\)

=>   \(34.03 <  \mu < 34.969 \)

Considering question c

Generally the width at  n =  49 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.952 \)

     \(w =  1.904 \)

Generally the width at  n =  196 is mathematically represented as

   \(w =  2 *  E\)

    \(w =  2 *  0.4687 \)

     \(w =  0.9374  \)

Now when the sample size is quadrupled i.e from n = 49 to  n =  196  

The width of the  confidence interval  decrease by 2 from 1.904 to  0.9374  

Var(y) = E(y2) – [E(y)]2

E(y2) = 3² * 0.2 + 5² * 0.3 + 6² * 0.4 + 9² * 0.1 = 68.6

E(y) = 3 * 0.2 + 5 * 0.3 + 6 * 0.4 + 9 * 0.1 = 6.2

Var(y) = 68.6 – 6.22 = 37.44

σ = √Var(y) = √37.44 = 6.11

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

19.3 miles per gallon

Step-by-step explanation:

First, subtract 54,042.8-53,737.7. The answer is 305.1

Then, find the unit rate. 305.1/15.8

You get 19.31012658. The prompt says to round to the nearest tenth, so round, and you get 19.3.

That's your answer!

Answer:

11

Step-by-step explanation:

Substituting the values of x, y, and z into the expression, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, if x = 2, y = 3, and z = 4, then the value of the expression 2x² - y + 2(z-1) is 11.

Answer:

11

Step-by-step explanation:

if x = 2, y = 3, and z = 4.

2x²-y + 2(z-1)

Substituting the given values of x, y, and z, we get:

2x² - y + 2(z-1) = 2(2)² - 3 + 2(4-1)

= 2(4) - 3 + 2(3)

= 8 - 3 + 6

= 11

Therefore, the value of the expression when x = 2, y = 3, and z = 4 is 11.

BODMAS (Brackets, Order, Division, Multiplication, Addition, Subtraction) is used to determine the sequence of operations in a mathematical expression. It is used to avoid confusion and ensure that everyone obtains the same answer from a mathematical expression. The rule states that the operations inside the brackets must be done first, followed by orders, then division and multiplication (from left to right), and finally addition and subtraction (from left to right).

Note: ^ is for Start of the line, $ is for end of the line ,* means 0 or more, + means 1 or more, [ab] means either a or b and {} is for specific number of times, () is for grouping.

A task in which it is necessary to create regular expressions to define five different languages. The alphabet used is A = {a, b}. The languages ​​are:

L1, which has exactly one "a" but any number of "bs".

L2, which has an odd number of "as" and an even number of "bs".

L3, which contains exactly two "as" or exactly two "bs", although not necessarily adjacent.

L4, which has all "bs" appearing before any "a" or all "as" appearing before any "b".

L5, where there can be any number of "as", but the number of "bs" must be even, although the "bs" need not be adjacent.

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Complete question :

Assume that both populations are normally distributed. ​a) Test whether mu 1 not equals mu 2 at the alpha equals 0.05 level of significance for the given sample data. ​b) Construct a 95​% confidence interval about mu 1 minus mu 2. Sample 1 Sample 2 n 19 19 x overbar 16.2 14.1 s 4.5 3.1

Answer:

(-0.445 ; 4.645)

Null:

H0: mu1 - mu2 = 0

H1 : mu1 - mu2 ≠ 0

Step-by-step explanation:

__________Sample 1 ____ Sample 2

n ___________19 _________19

x overbar ____16.2 ________14.1

s __________ 4.5 _________3.1

The confidence interval : (2 independent means)

(x1 - x2) ± Tcritical * √(s1²/n1) + (s2²/n2)

T(1 - α/2), 36 = 2.03

(16.2 - 14.1) ± 2.03 * √(4.5²/19) + (3.1²/19)

2.1 ± 2.545

Lower boundary = (2.1 - 2.545) = - 0.445

Upper boundary = (2.1 + 2.545) = 4.645

(-0.445 ; 4.645)

Answer:

21

Step-by-step explanation:

6 times 8 = 48-12=36 divided by 3 =12+9=21

average speed = 3 3/4 km/h

In order to find how many kilometers the hiker will walk in 5 hours, you'll need to multiply the average speed by the hiker's hours.

\(3\dfrac{3}{4} \times5\)

\(=\fbox{18.75 km}\)

The length of the side opposite to the reference angle is 7.77 units.

We know a right-angled triangle has three sides they are -: Hypotenuse,

Opposite and Adjacent.

We can remember SOH CAH TOA which is,

sin = opposite/hypotenuse, cos = adjecen/hypotenuse and

tan = opposite/adjacent.

If we take the reference angle 45°, The side 'x' is opposite and the side having a length of 11 units is the hypotenuse.

We know, sin = opposite/hypotenuse.

Therefore,

sin45° = x/11.

1/√2 = x/11.

x = 11/√2.

x = 7.77 units.

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it's good to get a new rank

like you seems to be genius in another id be genius In this id too

its not a misfortune to be sad

Answer:

it is good

Step-by-step explanation:

you dont have to be sad

Answer:

Option 2.

Step-by-step explanation:

Find the domain by finding where the function is defined. The range is the set of values that correspond with the domain.

Domain: \((- \infty} ,0)\) ∪ \((0, \infty} )\)

Range: \((- \infty} ,0)\)∪\((0, \infty} )\)

Answer: B and R

Step-by-step explanation:

In order for mn to be even, m must be even or n must be an even number.

The relationship between two propositions when the subject and predicate of one are respectively the negation of the predicate and the negation of the subject of the other.

Suppose that the statement “m is even or n is even” is not true. Then both m and n are supposed to be odd. Let’s see if the product of two odd numbers is an even or an odd number:

Let n and m be equal to 2a +1  and 2b + 1 respectively, then their product is:

                 (2a +1) (2b + 1) = 4ab + 2a + 2b + 1

                                       = 2(2ab +a + b) + 1

This shows that the expression 2(2ab +a + b) + 1  is of the form 2n +1,  thus the product is odd. If the product of odd numbers is odd, then mn is not true to be even. Therefore, in order for mn to be even, m must be even or n must be an even number.

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If a solid sphere and a hollow sphere are released at the same time from the top of the same inclined plane with each object having mass m and radius r then the solid sphere will reach the bottom first.

We know that each object has uniform density and that they all roll without slipping. Also, size, mass, density, and height don’t matter.

let, mass = m

gravity = g

height = h

final velocity = v

radius  = r

angular velocity = ω = vr

moment of inertia = I = km\(r^{2}\)

(where  k  is a measure of the average distance of the mass of an object from its rotational axis)

Now using the law of conservation of energy,

mgh = 1/2m\(v^{2}\) + 1/2I \(\omega^{2}\)

2gh =  \(v^{2}\)+ k\(v^{2}\)

v = \(\sqrt{\frac{2gh}{1+k} }\)

Now if we want to maximize v  we will have to minimize k  -that is we want the mass to be concentrated close to the center. This is inherent as we don’t want the object to waste energy in spinning but rather concentrate it on maximizing the object's speed.

Thus, the hollow sphere whose all the mass is present at the edge will come down slowly while the solid sphere whose mass is concentrated in the center will come down quickly.

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Answer:The SI, or metric, system is based on the principle that all quantities of a measured property have the same units, allowing scientists to easily convert large and small numbers. ... Measuring a human's mass in grams would not make much sense because the measurement would be such a large number.

Step-by-step explanation:Mass is a measure of the amount of matter in a substance or an object. The basic SI unit for mass is the kilogram (kg), but smaller masses may be measured in grams (g). To measure mass, you would use a balance.A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity. Any other quantity of that kind can be expressed as a multiple of the unit of measurement. For example, a length is a physical quantity.