The area of a triangular-shaped rug is 21 square yards and the height is 3 yards. Find the base.

First, we want to note two things:

We can describe this with an inequality:  x ≥ -10
Be sure you use ≥ and not >, since -10 is included.

We can describe this with interval notation: [ -10, infty )
Be sure you use [ and not ( on -10, since -10 is included.

You can also use set-builder notation: { x | x ≥ -10 }

Answer:

about 23 villagers

Step-by-step explanation:

17 x 1.13 =19.21 + 4 =23.21

chase would have to use the equation

(n x 1.13)+4

with n being the number of towns

To find dz/dt using the chain rule, we need to calculate the derivatives of z with respect to x and y separately, and then multiply them by the derivatives of x and y with respect to t.

Given:

z =  \(cosh^{2} (xy)\)

x = (1/2)t

y = \(e^{t}\)

Let's start by finding the partial derivatives of z with respect to x and y:

∂z/∂x = \(2cosh(xy) * sinh(xy) * y\)  (using the chain rule)

∂z/∂y = \(2cosh(xy) *sinh(xy)*x\)    (using the chain rule)

Next, let's find the derivatives of x and y with respect to t:

dx/dt = 1/2

dy/dt = \(e^{t}\)

Finally, we can use the chain rule to find dz/dt:

dz/dt = (∂z/∂x)(dx/dt) + (∂z/∂y)(dy/dt)

      = \(2cosh(xy) *sinh(xy)*y*(1/2) + 2cosh(xy)*sinh(xy)*x*e^{t}\)

Now, substitute the given expressions for x and y:

\(dz/dt = 2cosh((1/2)t*e^{t} * sinh((1/2)t*e^{t} *(1/2)* + 2cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t} *((1/2)t)\)

Simplifying further, we have:

\(dz/dt = cosh((1/2)t*e^{t} *sinh((1/2)t*e^{t})* e^{t} + cosh((1/2)t* e^{t}*sinh((1/2)t*e^{t}* ((1/2)t)\)

This is the expression for dz/dt using the chain rule with the given values of x and y.

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If the scale upon which points a, b, c, and d are shown is an ordinal scale, we can meaningfully say that the order of the points represents the order of the underlying variable being measured.

When using an ordinal scale, the order of the points (a, b, c, and d) represents the relative ranking or ordering of the underlying variable being measured. This means we can determine which point is higher or lower in the ranking. For example, if the variable being measured is satisfaction level, we can say that point "c" represents higher satisfaction than point "a" or "b." However, with an ordinal scale, we cannot make precise quantitative comparisons between the points or determine the exact magnitude of the differences between them. The scale only allows us to establish the relative order or ranking of the points.

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For a chi-square goodness-of-fit test, we can use variables of nominal level and ordinal level.

For a chi-square decency of-fit test, we can utilize the accompanying variable sorts:

Niveau nominal: a variable that has no inherent order or numerical value and is made up of categories or labels. Models incorporate orientation (male/female) or eye tone (blue/brown/green).

Standard level: a category of a natural order or ranking for a variable. Even though the categories are in a relative order, their differences might not be the same. Models incorporate rating scales (e.g., Likert scale: firmly deviate/dissent/impartial/concur/emphatically concur) or instructive accomplishment levels (e.g., secondary school recognition/four year certification/graduate degree).

In this manner, for a chi-square decency of-fit test, we can utilize factors of ostensible level and ordinal level.

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Answer:

24 is it multipule

Step-by-step explanation:

Answer:

B) 6 cm

Step-by-step explanation:

sq rt 36 = 6 cm

Answer:

x=10,-2

Step-by-step explanation:

Answer:128391389708714902787902717138123712839113791380138477356798123102745374213809129830192382910830198913813091831923841209381036592387141283902171283041287841830214801274123092184091237040283921840912809184091830471938047019340912793018240812040148014819083017409180914727484911111111111111111111111111111111111122222222222222222222222222222222222222222222222222222223333333333333333333333333333333333333333333333333333333333344444444444444444444444444

Step-by-step explanation:

Answer:

Step-by-step explanation:

Since each person forwards to email to 3 other people, the expression for the number of additional people who received it after rounds (including Elijah) is We can rewrite this as

Answer:

9

Step-by-step explanation:

Common ratio = Second term ÷ First term

                        = 171 ÷ 19  = 9

Answer:

200

Step-by-step explanation:

156.7

since the number before the hundred is more than 4

it becomes 200

Step-by-step explanation:

\((4 {k}^{4} + 1)\)

STEP

1

:

Equation at the end of step 1

2^2 k^4 + 1

STEP

2

:

Polynomial Roots Calculator :

2.1 Find roots (zeroes) of : F(k) = 4k4+1

Polynomial Roots Calculator is a set of methods aimed at finding values of k for which F(k)=0

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers k which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number P/Q then P is a factor of the Trailing Constant and Q is a factor of the Leading Coefficient

In this case, the Leading Coefficient is 4 and the Trailing Constant is 1.

The factor(s) are:

of the Leading Coefficient : 1,2 ,4

of the Trailing Constant : 1

Let us test ....

P Q P/Q F(P/Q) Divisor

-1 1 -1.00 5.00

-1 2 -0.50 1.25

-1 4 -0.25 1.02

1 1 1.00 5.00

1 2 0.50 1.25

1 4 0.25 1.02

Polynomial Roots Calculator found no rational roots

Final result :

4k4 + 1

Answer:

Pick below

Step-by-step explanation:

Using point(0,-3) slope (9) form the line equation will be :

(y- -3) = 9(x-0)

y +3 = 9x        to convert to y = mx+b form, subtract 3 from both sides)

y = 9x-3          to convert to 'standard(?) 'form  subtract 9x from both sides

y - 9x = -3        or , by multiplying by -1   : 9x -y = 3

The length of each piece of wire is 2.5 inches.

Fractions are used to depict the components of a whole or group of items. Two components make up a fraction. The numerator is the number that appears at the top of the line. It specifies how many identically sized pieces of the entire event or collection were collected. The denominator is the quantity listed below the line. The total number of identical objects in a collection or the total number of equal sections that the whole is divided into are both displayed. A fraction can be expressed in one of three different ways: as a fraction, a percentage, or a decimal. The first and most popular way to express a fraction is in the form of the letter ab. Here, a and b are referred to as the numerator and denominator, respectively.

Let the number of pieces = x

The length of the wire = 5/8 inches

The length of one piece of wire = 1/4 inch

According to the question,

1/4 x = 5/8

So, x = 5/8 × 4

x = 20/ 8

x = 5/2

x = 2.5 inch

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The term used to describe an error that occurs when numbers are moved to the right or left in an amount column is "Slide".

Slide:

An accounting slide is a mistake that happens when the decimal point of a number is moved to the left or right of where it should be.

For instance, a bookkeeper would enter $1,200.50 in place of $12,005 in the revenue account or $250.75 in place of $2,507.50 in the monthly insurance expenses. In general, bookkeeping mistakes and accounting blunders lead to financial record misstatements.

"Slide" is the name for a mistake that happens when numbers are moved to the right or left in an amount column.

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Answer:

B

Step-by-step explanation:

We know that 4×6=24.

Now using the radical rule, we can simplify to find 2 √ 6.

Answer:

Yes, this is a function because none of the y values have 2 x values connected to them.

Answer:

Any expression that equals 5.

Step-by-step explanation:

3 + 2 = 5, so any expression that equals 5 is equivalent to 3+2.

Answer:

A. SSS

Step-by-step explanation:

Answer:

y = -2x + 8

Step-by-step explanation:

Points: (0,8) and (-2,12)

Slope: (12-8)/-2-0) = 4/-2 = -2

y-intercept = 8 - (-2) (0) = 8

This statement is false.

DeMorgan's laws are fundamental laws in propositional logic that show the relationship between negation, conjunction, and disjunction. Specifically, DeMorgan's laws state:

The negation of a conjunction is the disjunction of the negations: ¬(p ∧ q) ≡ ¬p ∨ ¬q

The negation of a disjunction is the conjunction of the negations: ¬(p ∨ q) ≡ ¬p ∧ ¬q

If the negation operator distributes over the conjunction and disjunction operators, then DeMorgan's laws are still valid. In fact, the distributive law of negation over conjunction and disjunction is sometimes called one of DeMorgan's laws. The distributive law states:

The negation of a conjunction is equivalent to the disjunction of the negations: ¬(p ∧ q) ≡ ¬p ∨ ¬q

The negation of a disjunction is equivalent to the conjunction negations: ¬(p ∨ q) ≡ ¬p ∧ ¬q

So, the distributive law of negation over conjunction and disjunction is a valid form of DeMorgan's laws.

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Step-by-step explanation:

diameter=9

radius 4.5

circumference=2πr

2×22/7×4.5 =28.2

Based on the given information, we know that x must be 2 since it is the only even prime number. We also know that y must be either 11, 13, 17, or 19 since those are the only prime numbers between 10 and 20.

So, the sum of x and y can be 2 + 11 = 13, 2 + 13 = 15, 2 + 17 = 19, or 2 + 19 = 21.

Out of these four possible sums, only 13, 17, and 19 are prime numbers. Therefore, we can say that the sum of x and y may or may not be a prime number, depending on the specific values of x and y.

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In the equation y = mx + b, the meaning of the m and the b is

A linear function consists of functions where the variables has exponents of 1.

The graph of linear functions is a straight line graph and the relationship is expressed in the form.

y = mx + b

Information gotten from the question include

In the equation y = mx + b

m = ? and b = ?

y = mx + b

definition of variable to suit the problem

y = output variable

m = slope

x = input variable

b = y intercept

therefore m and b are the slope and y intercept respectively

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Constant 'k' has the value in the form of factored after factorization, the provided polynomial equation is 2.

Polynomial equations is the expression in which the highest power of the unknown variable is n (n is real number).

The factor of a polynomial is the terms in linear or equation form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial equation in the problem is,

\(8x^3 +6x^2 - 32x - 24\)

The factor of the polynomial equation are given as,

\(2(x+ k)(x - k)(4x +3)\)

First find out the factors to compare and find the value of k.The above equation has the unknown variable x and the highest power of this unknown variable is 3.

Take out the highest common factor 2, which can divide each term of the above equation (8, 6, -32, -24). Thus,

\(2(x+ k)(x - k)(4x +3)=2(4x^3 +3x^2 - 16x - 12)\)

Take out the highest common factor to make the groups as,

\(2(x+ k)(x - k)(4x +3)=2(x^2(4x +3) - 4(4x + 3))\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -4)\\2(x+ k)(x - k)(4x +3)=2(4x +3) (x^2 -2^2)\)

Use the property of difference of the square for the (x²-2²) term as,

\(2(x+ k)(x - k)(4x +3)=2(4x +3) (x +2)(x-2)\\2(x+ k)(x - k)(4x +3)=2(x +2)(x-2)(4x +3)\)

On comparing the two equation, we get the value of k as 3. Thus, the value of the constant 'k' in the factored form factorization the provided polynomial equation is 2.

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Answer:

C

Step-by-step explanation:

Answer:

-p^4

Step-by-step explanation:

The term with highest degree goes first in standard form.

Answer: -p^4

Answer:

-\(p^{4}\)

Step-by-step explanation:

standard form means highest exponent to lowest exponent regardless of the terms coefficient.  

Answer 152.7.

What is an Arithmetic operation?

An arithmetic operation is specified by combining operands with a single arithmetic operator. Adding, subtracting, dividing, and multiplying are examples of built-in functions that may be used to express mathematical operations. PEMDAS is generally used to calculate different arithmetic operations.

Given the equation 10.5p + 9.9r. we need to evaluate the equation when  p= 7 and r= 8. putting these values in the given equation.

10.5*7 + 9.9*8

=152.7

Therefore, the solution of the given equation will be 152.7.

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The volume of the remaining piece of ice cube is 6911.5 cubic cm

From the question, we have the following parameters that can be used in our computation:

The figure

Where, we have

Radius, r = 20/2  = 10 cm

Height, h = 33 cm

The volume of the remaining piece is calculated is

V = 2/3πr²h

Substitute the known values in the above equation, so, we have the following representation

V = 2/3 * 22/7 * 10² * 33

Evaluate

V = 6911.5

Hence, the volume of the remaining piece is 6911.5 cubic cm

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Answer:

a.) Find how many natural numbers under 100 are not divisible by either 2, 3, 5, or 7.

There are 21 natural numbers under 100 that are not divisible by either 2, 3, 5, or 7. Below are those 21 natural numbers:

11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

b.) Use this result to determine how many prime numbers less than 100 there are.

Since 2, 3, 5, and 7 are all prime numbers that we didn't include in our answer above, there are actually 25 prime numbers under 100.

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