[70 POINTS!] What is the volume of the pyramid? Explain your reasoning.

Answer:

78.55cm^2

Step-by-step explanation:

area of a circle = πr^2

where π= 3.142

r= radius= diameter/2

radius= 10/2= 5

area= 3.142×(5)^2

area= 3.142×25=78.55cm^2

Answer:

A) 6

B) 14

C) 4

D) 7

Hope it helps :))

Answer:

x=1.13

Step-by-step explanation:

isolate the variable and the numbers and solve.

Answer:

Step-by-step explanation:

I don't know what is meant by "analyze the function," but I can draw the functions.

Recall the Maclaurin expansion for cos(x), valid for all real x :

[tex]\displaystyle \cos(x) = \sum_{n=0}^\infty (-1)^n \frac{x^{2n}}{(2n)!}[/tex]

Then replacing x with √5 x (I'm assuming you mean √5 times x, and not √(5x)) gives

[tex]\displaystyle \cos\left(\sqrt 5\,x\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt5\,x\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^{2n}}{(2n)!}[/tex]

The first 3 terms of the series are

[tex]\cos\left(\sqrt5\,x\right) \approx 1 - \dfrac{5x^2}2 + \dfrac{25x^4}{24}[/tex]

and the general n-th term is as shown in the series.

In case you did mean cos(√(5x)), we would instead end up with

[tex]\displaystyle \cos\left(\sqrt{5x}\right) = \sum_{n=0}^\infty (-1)^n \frac{\left(\sqrt{5x}\right)^{2n}}{(2n)!} = \sum_{n=0}^\infty (-5)^n \frac{x^n}{(2n)!}[/tex]

which amounts to replacing the x with √x in the expansion of cos(√5 x) :

[tex]\cos\left(\sqrt{5x}\right) \approx 1 - \dfrac{5x}2 + \dfrac{25x^2}{24}[/tex]

[tex]\boxed{ x= 2}[/tex]

[tex]4x+3=3x+5[/tex]

Subtract 3 from both sides :

[tex]4x + 3 = 3x + 5[/tex]

[tex]4x + 3-3 = 3x + 5-3[/tex]

[tex]4x = 3x + 2[/tex]

Subtract 3x from both sides :

[tex]4x = 3x + 2[/tex]

[tex]4x-3x = 3x + 2-3x[/tex]

[tex]x = 2[/tex]

[tex]\sf{\qquad\qquad\huge\underline{{\sf Answer}}}[/tex]

The value that satisfies the first degree equation is: x = 2.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf Verification:[/tex]

[tex] \qquad \sf \dashrightarrow42 + 3 = 32 + 5[/tex]

[tex] \: \: \qquad \sf \dashrightarrow 8 + 3 = 6 + 5[/tex]

[tex] \: \: \qquad \sf \dashrightarrow11 = 11[/tex]

Solving a first degree equation

The objective of the problem is to know what is the number that allows the stated equality to be fulfilled, for this it is necessary to clear the value of x.

The formulation is first degree:

[tex] \: \: \: \: \: \: \: \: \: \: \: \boxed{ \Rrightarrow\bf 4x + 3 = 3x + 5}[/tex]

The variables must be grouped in the same term, in this case we will do it in the left term, and the constants (numbers) in the right.

1) Subtract -3x from both terms:

[tex] \qquad \sf \dashrightarrow4x + 3 - 3x = 3x - 3x + 5[/tex]

[tex] \qquad \sf \dashrightarrow \: x + 3 = 5[/tex]

2) Subtract three units for each term:

[tex] \qquad \sf \dashrightarrow \: x + 3 - 3 = 5 - 3[/tex]

[tex] \qquad \sf \dashrightarrow \: {x =2 \: ✔}[/tex]

I hope I've helped : )

Answer:

x=4

or

x=36

Step-by-step explanation:

I am wondering if you mean 3x=12 or x/3=12

if 3x=12, then x=4

if x/3=12, then x=36

The total number of inches yards that she have is 6.95 yards

Given the following parameters

Amount of red yards = 4.2 inches

Amount of blue yards = 2.75inches

In order to determine the total yards, the sum of the yards is expressed as:

Total yards = 4.2 + 2.75

Total yards = 6.95 yards

Hence the total number of inches yards that she have is 6.95 yards

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         - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

             Solve x²-5x+6

[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]

(x-2)(x-3)

[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]

                      First, we think of two numbers such that

     If we multiply them, we'll get 6

      If we add them, we'll get -5

These numbers are -2 and -3.

Write them here:

(x-2)(x-3)

Now, how do we get (x-2)(x-3) from x(x-2)-3(x-2)?

Notice that (x-2) is the common term, so we factor it out:

(x-2)

And now, we write the other two terms that are left in the parentheses:

(And the terms left are x and -3)

(x-2)(x-3)

Notice that we ended up with the same answer.

           - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Step-by-step explanation:

The domain of the function is all real numbers less than or equal to −2 - FALSE;

The domain of the function is all real numbers less than or equal to 9 - FALSE;

The range of the function is all real numbers less than or equal to −2 - FALSE;

The range of the function is all real numbers less than or equal to 9 - TRUE.

PS. the domain is (-∝;+∝); the range is (-∝;9].

Answer:

18 centimeters

Step-by-step explanation:

Divide the circumference by π, or 3.14 for an estimation. The result is the circle's diameter.

Divide the diameter by 2.

There you go, you found the circle's radius

The effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.

Simple interest is the concept that is used in many companies such as banking, finance, automobile, and so on.

Philippa took out an $860 discounted loan for a period of m months and the simple interest rate was 6%. The amount that was actually disbursed into her bank account was $838.50.

Then the effective interest rate of this loan, to the nearest 0.01% will be

So, from the question the interest that is deducted = $860-$838.50 = $21.50

Now, I = Prt/100

So, t = 100 (I/Pr) = 0.42 years = 5months

therefore m = 5months

So, the effective rate of interest is given by the same formula but with the disbursed amount which is $838.50.

I = Prt/100

Therefore, r = 100 (I/Pt) = 6.15%

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Answer:

no because nkow one can explain

Answer:

D. 7

Step-by-step explanation:

42 + 70 = 112 stamps altogether.

112 can be divided by 2, 4, 7, 8, 14, 16, 28, 56

to be more simpler, since there are options, we can cross out the other numbers not shown in the options. then see that 6 and 10 are not divisible by 112, so cross them out. it will left with option A and option D.

option A is 2. if he uses two pages, then each page should have a total of 56 stamps. however, foreign stamps have an amount of 42 only, so it is quite impossible to fit in more than 42.

option D is 7. if he uses 7 pages, then each page could fit in 16 stamps.

so the answer will be option D.

Answer:

y=ab^x

y=6.0.8^x

Step-by-step explanation:

find exponential function by substituting given values into y=ab^x and the solve

Answer:

1/5x^4

Step-by-step explanation:

To change a negative exponent to a positive one, flip it into a reciprocal. This is what I have done here.

Answer:

17/4

or

17 ÷ 4

Step-by-step explanation:

This equals 4.25.

hope this helps

have a good day

The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

Convert the statement 'quotient of seventeen and four' into a mathematical expression. Then we have

⇒ 17 / 4

Convert the fraction number into a mixed fraction number, then we have

⇒ 17 / 4

⇒ 4 ¹/₄

The quotient of seventeen and four in the mixed fraction form will be 4 ¹/₄. Then the correct option is A.

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The missing options are given below.

A. 4 1/4      B. 4 3/4      C. 3 1/4      D. 3 3/4

Answer:

Slope = 1

Step-by-step explanation:

Step-by-step explanation:

the volume of a rectangular block or tank is

length × width × height

so, it is like all regular 3D objects

base area × height.

so, we get

120 × 75 × 48 = 374,400 m³ = 3.744 × 10⁵ m³

why ?

374,400 = 374400 × 10⁰ = 37440 × 10¹ =

= 3744 × 10² = 374.4 × 10³ = 37.44 × 10⁴ =

= 3.744 × 10⁵

Answer:

B

Step-by-step explanation:

y is first so, 8,1 6,2 4,3 2,4 0,5

Answer:

D. None of these

Step-by-step explanation:

(5×10^8)(4×10^3)

=20 × 10^11

All the terms are being multiplied. There is no distributive property (FOIL) here. Rearrange the numbers in any order that helps you.

5 × 4 × 10^8 × 10^3

Add exponents to multiply the 10's.

and in proper scientific notation, one last change would give you

2.0 × 10^12

Answer:

52 units^2

Step-by-step explanation:

Given:-

Length(L): 4

Width(W): 3

Height(H): 2

Surface area = 2(LW+WH+HL)

2(4×3+3×2+2×4)

2(12+6+8)

52 units^2

Hope this answers your question!!

Considering the piece-wise function, the value of the function at x = 2, that is, g(2), is given by:

C. 1.

It is a function that has different definitions based on the input.

In this problem, the function is defined by:

Due to the equal sign, x = 2 is part of the second definition, hence:

g(2) = 2³ - 9(2)² + 27(2) - 25 = 1.

Which means that option C is correct.

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Answer:

6h

Step-by-step explanation:

If Olivia teaches 6 classes that are 1 hour, she teaches 6×1 is 6 hours.

If the classes are two hours, she teaches 6×2 is 12 hours.

Try with numbers to see what math operation you are doing. Its times.

6×h is written 6h

6h is the  expression that shows the total number of hours she teaches

An expression is combination of variables, numbers and operators.

Given,

Each painting class Olivia teaches is h hours long.

The number of classes teached by Olivia in a week is 6.

We need to find an expression that shows the total number of hours she teaches

6h is the required expression.

h is the variable because its value will be changed.

Hence, 6h is the  expression that shows the total number of hours she teaches

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Answer:

-2

Step-by-step explanation:

3(a+1.5)=-1.5

a+1.5 = - 1.5/3 = - 0.5

a = - 0.5 - 1.5 = - 2

Answer:

Step-by-step explanation:

3a + 4.5 = -1.5

3a = -6

a = -2

Answer:

si es funcion radical al final se pondra con raiz y las raizes son como potenciacion pero al revez es como multiplicacion y su opuesto en divicion haci que 5 mas 5 es 10 mas 4 es 14 pero sigue al raiz haci que se tiene que buscar una raiz a 14 seria 3,7288 y haci pero si no tenemos entonces una divicion 7 por 2 14 pero no se puede haci que 4 entre 7 la respuesta la pondrias como 4 (imagen de raiz encima del 7) 7

Step-by-step explanation:

espero ayudarte utilice un 64/1 de mi cabeza

The consumption of electricity in May based on the model will be 1225kw.

The model that's given to calculate the consumption is:

C = 1200 + 5t

May = 5th month

The consumption in May will be:

C = 1200 + 5t

C = 1200 + 5(5)

C = 1200 + 25

C = 1225Kw

In conclusion, the consumption of electricity in May based on the model will be 1225kw.

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Answer:

43.96 or C

Step-by-step explanation:

c=(pi)(d)

pi --> 3.14

d --> diameter (in your case 14.)

c=3.14*14

c= 43.96

Both formulas work, 2(pi)r and (pi)(d)

But, if they give you the diameter then use (pi)(d).

If they give you the radius then use 2(pi)r