Put the following capacities in order from smallest to largest. 0.1 l 0.5 l 1000 ml 10 ml 15 cl

Answer:

b=2

Step-by-step explanation:

14= 6+6 +b

14=12+b--> 2=b

Step-by-step explanation:

I hope this helps you answer your questions about graphing the line.

Answer:

$617.25

Step-by-step explanation:

$617.25 Because, $310.50(tips) + $306.75(hourly wage)=$617.25

Answer:$580.50

Step-by-step explanation:

:)

The requreid,
(a) Approximate values of the given numbers are π ≈ 3.1, √6 ≈ 2.4, 2√6 ≈ 4.8, and √7 ≈ 2.6.
(b) √6  < √7 <  π  < 2√6

(a)

π ≈ 3.1 (since π is between 3 and 4, and is closer to 3.1 than to 3.2)

√6 ≈ 2.4 (since 6 is between 4 and 9, and the square root of 6 is closer to 2.4 than to 2.5)

2√6 ≈ 4.8 (since 2√6 is approximately twice the value of √6, which is 2.4)

√7 ≈ 2.6 (since 7 is between 4 and 9, and the square root of 7 is closer to 2.6 than to 2.7)

(b)

Order from least to greatest:

√6  < √7 <  π  < 2√6

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Answer:

25/9

Step-by-step explanation:

3 1/3 ÷ 1 1/5

3 1/3 = 10/3

1 1/5 = 6/5

10/3 ÷ 6/5 = 10/3 x 5/6 = 50/18 = 25/9

So, the answer is 25/9

The triangle similarity can be proven by three methods, and the AA similarity postulate states that two triangles are similar if and only if their corresponding angles are congruent.

If they have the same shape but different sizes. This is what is known as similarity. In mathematics, there are three ways to prove that two triangles are similar: AA, SAS, and SSS.

In the case of AA similarity postulate, two triangles are similar if and only if two corresponding angles are congruent, meaning they have the same degree measure.

Similarly, if triangle ABC is similar to triangle JKL by AA similarity postulate, it means that the corresponding angles of both triangles are congruent.

Therefore, it is possible that triangle ABC is similar to one or more of the triangles given, but it is not possible to say without further information such as the angles and lengths of the sides.

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Complete Question:

Define triangle is ​△ABC​ similar to Similarity property and why?

Which triangle is ​△abc​ similar to and why? responses △abc is similar to △ghi by ​aa similarity postulate. triangle a b c, is similar to , triangle g h i, by , ​, a a similarity postulate, ., △abc is similar to △jkl by ​aa similarity postulate​. triangle a b c, is similar to , triangle j k l, by , ​, a a similarity postulate, ​, . △abc is similar to △def by ​aa similarity postulate​. triangle a b c, is similar to , triangle d e f, by , ​, a a similarity postulate, ​, . ​△abc​ is not similar to any of the triangles given.

Answer:

number is 2

Step-by-step explanation:

let the number be n then 8 times the number is 8n, subtract 1 from this and

8n - 1 = 15 ( add 1 to both sides )

8n = 16 ( divide both sides by 8 )

n = 2

that is the number is 2

Answer:

15. 4x¹⁰

16. 30m³

Step-by-step explanation:

15. Area of Rectangle is given by A=LW

    since W=x⁵ and L is 4 times W, L=4x⁵

    therefore, A = x⁵(4x⁵) = 4x¹⁰

16. Volume of Rectangular Prism is V=LWH

    W=6L=6m  and  H=5L=5m  and  L=m

   so V = m(6m)(5m) = 30m³

Based on given question question, following are the answers of blanks based on Midpoint Theorem.

1.) Definition of midpoint

The midpoint theorem states that the line segment joining the midpoints of any two sides of a triangle is parallel to the third side and equal to half of the third side.

2.) ∠ECD ≅ ∠BCA [Vertically opposite angle]

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.

3.) ∠D ≅ ∠A [Alternate interior angle]

When two parallel lines are crossed by a transversal, the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal are called alternate interior angles. These angles are always equal.

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Answer:

7⅞

Step-by-step explanation:

NO.OF HATS TO BE MADE= 9

YARD OF YARN NEEDED TO MAKE EACH HAT= 7/8

THEN,

TOTAL YARDS OF YARN= 9*7/8

= 63/8

Given to write answer in mixed form= 7⅞

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The sector areas of the grey and white areas are 159.09 in² and 41.87 in²

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

The area of shaded sector is calculated as

Area = Central angle/360 * π * Radius^2

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

Hence, the area is 159.09

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Answer:

1. $19,282.025

2.$3698

Step-by-step explanation:

1.

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PV(1 + \frac{r}{n})^{nt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 3,294(1 + \frac{0.15}{4})^{4*12}\)

= $19,282.025

2

In order to calculate this, we can use the following formula:

\(\boxed{\bold{FV = PVe^{rt}}}\)

Where:

In this case, the following values would be used:

Plugging these values into the formula, we get:

\(FV = 2,580e^{0.03*12}\)

= $3,697.99=$3698

Answer:

\(r = 1.6\)

Step-by-step explanation:

Given

x   -----   y

0.5. --- 0.8

1. --- 1.6

3.--- 4.8

25. --- 40

Required

Determine the constant of proportionality

This can be calculated using the following formula:

\(y = rx\) ; Where r is the constant of proportionality;

Solve for r

\(r = \frac{y}{x}\)

When x = 0.5; y = 0.8

\(r = \frac{0.8}{0.5}\)

\(r = 1.6\)

When x =  1; y =1.6

\(r = \frac{1.6}{1}\)

\(r = 1.6\)

When x =  3; y = 4.8

\(r = \frac{4.8}{3}\)

\(r = 1.6\)

When x =  25; y = 40

\(r = \frac{40}{25}\)

\(r = 1.6\)

Notice that the value of r is constant throughout;

Hence:

\(r = 1.6\)

Using double angle identity, we are able to prove tan(x)(1 + cos(2x)) = sin(2x).

To prove the identity tan(x)(1 + cos(2x)) = sin(2x), we can start by using trigonometric identities to simplify both sides of the equation.

Starting with the left-hand side (LHS):

tan(x)(1 + cos(2x))

We know that tan(x) = sin(x) / cos(x) and that cos(2x) = cos²(x) - sin²(x). Substituting these values, we get:

LHS = (sin(x) / cos(x))(1 + cos²(x) - sin²(x))

Next, we can simplify the expression by expanding and combining like terms:

LHS = sin(x) / cos(x) + sin(x)cos²(x) / cos(x) - sin³(x) / cos(x)

Simplifying further:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

Now, let's work on the right-hand side (RHS):

sin(2x)

Using the double angle identity for sine, sin(2x) = 2sin(x)cos(x).

Now, let's compare the LHS and RHS expressions:

LHS = sin(x) / cos(x) + sin(x)cos(x) - sin³(x) / cos(x)

RHS = 2sin(x)cos(x)

To prove the identity, we need to show that the LHS expression is equal to the RHS expression. We can combine the terms on the LHS to get a common denominator:

LHS = [sin(x) - sin³(x) + sin(x)cos²(x)] / cos(x)

Now, using the identity sin²(x) = 1 - cos²(x), we can rewrite the numerator:

LHS = [sin(x) - sin³(x) + sin(x)(1 - sin²(x))] / cos(x)

    = [sin(x) - sin³(x) + sin(x) - sin³(x)] / cos(x)

    = 2sin(x) - 2sin³(x) / cos(x)

Now, using the identity 2sin(x) = sin(2x), we can simplify further:

LHS = sin(2x) - 2sin³(x) / cos(x)

Comparing this with the RHS expression, we see that LHS = RHS, proving the identity.

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Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

A polynomial is a mathematical expression consisting exclusively of additions, subtractions, multiplications, and positive integer powers of variables. It is an expression of coefficients and uncertainty. x2 4x + 7 represents a single indeterminate x polynomial. An expression in mathematics known as a polynomial is made up of variables (also known as indeterminates) and coefficients that can be added, subtracted, multiplied, and raised to negative integer powers of non-variables. A polynomial is an algebraic formula that includes variables and coefficients. Addition, subtraction, multiplication, and non-negative integer exponents are the only operations that can be included in an expression. This type of statement is known as a polynomial.

given

Multiply each combination of terms:

Combine like terms.

3x^5 + 2x^4 + (-7x^3 + 12x^3) + (8x^2 - 6x^2 ) + (-28x - 4x) +14=

3x^5 + 2x^4 + 5x^3 + 2x^2 - 32x + 14.

Polynomials have the following product: 3x5 + 2x4 + 5x3 + 2x2 - 32x + 14. An algebraic formula with variables is called a polynomial.

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The Solution.

Step 1:

The total number of students that have A is:

2+4 = 6 students.

The number of Males that had A is 4.

The probability that a student who has A is a male is given as below:

Step 2:

Presentation of the Answer.

The correct answer is 0.667

The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)

In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.

Let p be the population proportion of students who receive some financial aid.

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

i.e. n= 200

p{hat} = 118/200 = 0.59

We know that the critical value for 95% confidence interval : z = 1.96

The standard deviation would be,

σ = √[p{hat}(1 - p{hat})/N]

σ = √0.59(1 - 0.59)/200

σ = √(0.0012095)

σ = 0.0348

The 95% confidence interval for population proportion would be,

(0.59 ± (1.96 * 0.0348))

= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))

= (0.5218, 0.6582)

Therefore, the 95% confidence interval : (0.522, 0.658)

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If circle with center N with m∠MNP=124 ∘ and MN=13,  the area of sector MNP is approximately equal to 194.86 square units.

To find the area of a sector of a circle, we need to use the formula:

Area of sector = (central angle/360°) x πr²

Where r is the radius of the circle.

In this problem, we know that the central angle m∠MNP is 124° and MN, which is also the radius of the circle, is 13. So we can substitute these values into the formula:

Area of sector = (124/360) x π(13)²

Area of sector ≈ 194.86

Therefore, the area of sector MNP is approximately equal to 194.86 square units.

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Answer:

Step-by-step explanation:

6. Cross-section is a square.

:::::

7. Point and rectangle

:::::

8. line segment and rectangle

:::::

area of hole = π3.5² = 12.25π ≅ 39 ft²

Answer:

7

Step-by-step explanation:

30/5 = 6

so 42/6 = x

x = 7

Using the constant of proportionality the value of x when y is 72 is 9.

What is a COP?

The ratio between two quantities that are directly proportional is the constant of proportionality. When two quantities grow and shrink at the same rate, they are directly proportional.

If y varies directly as x, it means that y can be expressed as a constant multiple of x, i.e., y = kx, where k is the constant of proportionality.

To find k, we can use the given information that y = 48 when x = 6 -

y = kx

48 = k(6)

k = 8

Now that we know k, we can use it to find x when y = 72 -

y = kx

72 = 8x

x = 9

Therefore, when x = 72, the value of x = 9.

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The correct diagram and the equation to find the interior angles of the hexagon is option (C)

The given figure is the regular hexagon

Consider the number of side of the polygon is n

The number of sides of the hexagon = 6

We know interior angle of a regular hexagon = 120 degrees

The interior angle of the hexagon d = 180(n-2) / n

Substitute the value of n = 6 in the equation

The interior angle of the hexagon = 180(6-2) / 6

= 180×4 /6

= 720 / 6

Divide the terms

= 120 degrees

Hence, the correct diagram and the equation to find the interior angles of the hexagon is option (C)

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Answer:

\(106 \frac{3}{5}\)

Explanation:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

\(\frac{26}{5} \times \frac{-31}{3}\)

Next, apply the fractions formula for multiplication. Formula below:

\(\dfrac{a}{b} \times \dfrac{c}{d} = \dfrac{a \times c}{b \times d}\)

\(= \frac{26 \times -41}{5 \times 2}= \frac{-1066}{10}\)

Simplifying -1066/10, (you can do this by using division) the answer is:  

\(106 \frac{3}{5}\)

Answer:

-3 1/3

Step-by-step explanation:

5 2/10 x -10 1/3

10/10 x -10/3

1 x-10/3

-10/3

-3 1/3

your question is unclear. I think I understand it correctly

Answer:

The correct answer is:

D. Action: Divide both sides by 4.

E. Property: Division property of equality.

Answer:

the condition is b= 0

Step-by-step explanation:

Given that:

The  a linear function f(x) = mx + b, m ≠ 0

Recall that:

A function is a linear function if:

\(f(x_1 + x_2) = f(x_1) + f(x_2)\)

\(f(cx) = cf(x)\)

So, if:

\(f(x_1+x_2) = m(x_1+x_2) + b\)

Then

\(f(x_1+x_2) = mx_1+mx_2+ b\)

\(f(x_1+x_2) = f(x_1) + f(x_2) -b\)

\(f(x_1 + x_2) = f(x_1 +x_2)\)     if   b = 0

\(f(cx) = m (cx) + b\)

\(f(cx) =c(mx) + b\)

\(f(cx) =cf(x)\)    if    b = 0

Therefore, the condition is b= 0