Maria wanted a sewing needle that had the smallest diameter. Which needle diameter is the smallest?

0.101 in
0.011 in
0.11 in
0.001 in

Answer:

Infinite number of solutions

Step-by-step explanation:

Use distributive property to eliminate the parenthesis on the left:

8 x + 12 = 16 x + 12 - 8 x

combine like terms on the right:

8x+ 12 = 8 x + 12

subtract 12 from both sides

8 x = 8 x   (notice both sides are identical)

subtract 8 x  from both sides

0 = 0

This is a true statement that takes place for whatever x-value we use in the original equation. Therefore, the equation has infinite number of solutions (any real number "x")

Given the following quadratic function:

We will find the x-intercepts which are the values of (x) to make y = 0

So, we will substitute y = 0, then solve the equation to find (x):

Taking the square root of both sides:

So, the answer will be:

Answer:

Shown in Step-By-Step, written in bold text.

Step-by-step explanation:

16) x : 1      y: -3

         2          0

         3          9

3x - 6

3(1) - 6 = -3

3(2) - 6 = 0

3(3) - 6 = 9

17) x: 1        y: -10

        2           -12

        3           -14

-2(x + 4) = -2x - 8

-2(1) - 8 = -10

-2(2) - 8 = -12

-(3) - 8 = -14

Answer:

See below

Step-by-step explanation:

The tax revenue generated from property taxes is often used to fund expressions public services such as schools, parks, and infrastructure projects in the local community.

In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +. The calculation of property tax is typically based on the assessed value of the property and the tax rate set by the local government. The assessed value is determined by a government-appointed assessor who evaluates the value of the property based on factors such as its location, size, age, and condition. The tax rate is then applied to the assessed value to determine the amount of tax owed by the property owner. The tax revenue generated from property taxes is often used to fund public services such as schools, parks, and infrastructure projects in the local community.

To know more about expressions visit :-

https://brainly.com/question/14083225

#SPJ1

Answer:

7 hundredths

2 tenths

Step-by-step explanation:

7 is in the hundredths place and there is no zero so then to would be in the tenths place

Answer:

Step-by-step explanation:

a) The formula for the regression function is:

Maintenance Cost = 54.7757 + 120.689 x Age of Car

b) The slope of the regression equation is 120.689. This means that on average, for every one year increase in the age of a car, the maintenance cost is expected to increase by $120.689.

c) To construct a 95% interval to predict the maintenance cost for a car that is 7 years old, we can use the formula:

Y = a + bX ± tα/2 * SE

where Y is the predicted maintenance cost, a is the intercept, b is the slope, X is the age of the car, tα/2 is the t-value for the 95% confidence level with n-2 degrees of freedom (11 in this case), and SE is the standard error of the estimate.

Plugging in the values, we get:

Y = 54.7757 + 120.689 * 7 ± 2.201 * 11.8442

Y = 923.167 ± 26.010

Therefore, we can be 95% confident that the maintenance cost for a car that is 7 years old will be between $897.16 and $949.17.

d) The null hypothesis is that there is no significant linear relationship between the average maintenance cost and the age of a car in years. The alternative hypothesis is that there is a significant linear relationship between the average maintenance cost and the age of a car in years.

To test the hypothesis, we can perform a t-test on the slope coefficient using the t-statistic and the p-value provided in the output. The t-statistic is 10.1898, which is much greater than the critical t-value at the 0.05 level of significance for a two-tailed test with 11 degrees of freedom (2.201). The p-value is 0.0000, which is less than the significance level of 0.05. Therefore, we can reject the null hypothesis and conclude that there is a significant linear relationship between the maintenance cost and the age of the car in years.

Answer: Suppose there exists a positive rational number r such that r^2 < 2. Then we have 2 - r^2 > 0. Let h = (2 - r^2)/4. Then h > 0 because r^2 < 2.

Consider the number rh = r + h. We have:

(rh)^2 = (r + h)^2 = r^2 + 2rh + h^2 = r^2 + 2(2 - r^2)/2 + (2 - r^2)/16

= r^2 + 2 + (2 - r^2)/16

< 2 + 2 + (2 - 2)/16 = 2.

Thus, for any positive rational number r such that r^2 < 2, there exists a larger positive rational number rh = r + h such that (rh)^2 < 2.

Step-by-step explanation:

Answer:

200

Step-by-step explanation:

The sum is 182.5, which is 200 to 1 significant figure.

Answer:

Why is a parent on Brainly??? Kinda weird><>

Step-by-step explanation:

The area of the blue-shaded region is 19.95 m²

Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.

Given that, a rectangle with length 14 m, and diagonal 15.5 m, a parallelogram has been cut out of it, we need to find the area remaining,

Using the Pythagoras theorem,

15.5² = 14²+w² [width]

w² = 240.25-196

w² = 44.25

w = 6.65

Therefore, the width of the rectangle is 6.65 m

That mean, the height of the parallelogram is 6.65 m,

The area of the blue-shaded region, is calculated by subtracting the area of the parallelogram by the area of the rectangle,

Area of the remaining region = 14×6.65-11×6.65

= 6.65(14-11) = 6.65×3

= 19.95 m²

Hence, the area of the blue-shaded region is 19.95 m²

Learn more about area, click;

https://brainly.com/question/27683633

#SPJ1

Step-by-step explanation:

a= c-b pls let me know if it is correct or not

Answer:

I think it is 0.50d + 0.25

PLZ CORRECT ME IF I AM WRONG PLEASE AND THANK YOU

Step-by-step explanation:

Answer:

Step-by-step explanation:

0.25 (2d+1)=

0.50d+0.25 <===

Limit of the function ln(n³)/10n is \(\lim_{n \to \infty}\) (3/n) and the sequence will be divergence in nature.

In Arithmetic, divergence and curl are the two fundamental procedure on the vector field. Both are significant in math as it assists with fostering the higher-layered of the central hypothesis of analytics. For the most part, uniqueness makes sense of how the field acts towards or away from a point. Likewise, curl is utilized to quantify the rotational degree of the field about a specific point.

We have a\(_n\)=ln(n³)/10n

Apply n'th term test for divergence, which states that,

If \(\lim_{n \to \infty} a_n\) !=0 , then ∑a\(_n\) diverges

Apply L'Hospital's rule,then \(\lim_{n \to \infty} ln(n^3)/10n\), Test L'Hospital condition:0/0

=\(\lim_{n \to \infty}\) d [ln(n³)/10n] / dn

=\(\lim_{n \to \infty}\)  (1/n³) ×3n²(since differentiation of ln(x) is 1/x)

=\(\lim_{n \to \infty}\)(3/n)

If n tends to infinite then the function tends to zero because 1/n tends to zero.

But,By the limit chain rule we know that 1!=0.So,according to the postulate of the divergence test criteria,we got that  the given function will diverges.

Hence, limit of the function is \(\lim_{n \to \infty}\)(3/n) and function will diverges.

To know more about limit, visit here:

https://brainly.com/question/29795597

#SPJ4

(Complete question) is:

determine the convergence or divergence of the sequence with the given nth term. if the sequence converges, find its limit- ln(n³)/10n.

The three consecutive multiples of 3 are 15, 18 and 21

First, let's determine three successive multiples of 3:

The subsequent two would be "x+3" and "x+6" if we call the initial number "x".

Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:

2/3(x + x+3) = (x+6) + 1

Simplifying this equation, we get:

2/3(2x+3) = x+7

Multiplying both sides by 3, we get:

2(2x+3) = 3(x+7)

Expanding and simplifying, we get:

4x + 6 = 3x + 21

Subtracting 3x and 6 from both sides, we get:

x = 15

Therefore, the three consecutive multiples of 3 are 15, 18 and 21

Learn more about consecutive multiples here : brainly.com/question/22081489

#SPJ1

Answer: 8.06 Inches

The area of the circle is 28.26 ft². 3. The diameter of the circle is 8.06 inches.

Answer:

D

Step-by-step explanation:

(3x³ - 10x² + 13x)  -  (5x³ + 4x² - 9x)

3x³ - 10x² + 13x  - 5x³ - 4x² + 9x  Change all terms after the subtraction sign to

                                                      the opposite sign (definition of Subtraction)

(3x³ - 5x³) + (-10x² - 4x²) + (13x + 9x)    Group like terms together

-2x³ - 14x² + 22x                                    

Answer:

48,236.7

Step-by-step explanation:

40,000 + 8,000 + 200 + 30 + 6 + 7/10

7/10 can also be written .7

Answer:

15\(\pi\)

Step-by-step explanation:

with diameter

A=\(\pi\)d

A=\(\pi\)(15)

A=15\(\pi\)

Answer:

The answer is 50.

Step-by-step explanation:

Use MDAS

Multiplication, Division, Addition and Subtraction

2 + 6 * 8 =

Multiply first then add

2 + 6*8 = ?

= 2 + 48

= 50

Answer:

Step-by-step explanation:

Correct option is the bottom right or D

Answer:

1/3 foot longer

Step-by-step explanation:

2/3-1/3=1/3

Answer:

Third option - 8^(x/3)

Step-by-step explanation:

Substitute x with a value (e.g. 2) for all the options to find the answer.

Answer:

22° + m<C = 90°

Step-by-step explanation:

We are given that <A (which is equal to 22°) and <B are vertical angles, and that <B is complementary to <C.

We want to write an equation that will help us solve <C.

Recall that vertical angles are congruent by vertical angles theorem.

This means that <A ≅ <B; it also means that the measure of <B is also 22°.

Also recall that complementary angles add up to 90°.

This means that m<B + m<C = 90°.

Since we deduced that m<B is 22°, we can substitute that value into the equation.

Hence, an equation that can be used to solve for <C is:

22° + m<C = 90°

The sample in this situation is 'The twenty people to march in the victory parade'

The sample size is a term we use to represent the amount or the quantity we have taken from the whole to do some researches.

Given that, during a middle school lacrosse game, every spectator placed his or her ticket stub into one of several containers. After the game, the coach chose twenty people to march in the victory parade. We need to identify the sample in this situation,

A sample refers to a smaller, manageable version of a larger group. It is a subset containing the characteristics of a larger population.  

A sample should represent the population as a whole and not reflect any bias toward a specific attribute.

Since, the coach chose 20 people to March in the sportsmanship parade, the sample in this situation, The 20 people to March in the sportsmanship parade is the sample.

Hence, the sample in this situation is 'The twenty people to march in the victory parade'

Learn more about samples, click;

https://brainly.com/question/13287171

#SPJ9

Answer:

3a2_2b2-2c2+ab+5ac-5bc

(3a+2b-c)(a-b+2c)

(6a2-4b2-c2)(-ab+4c2)

-6ab3+24ac4+4ab2-16bc2+abc2-4c3

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

A rectangle is a type οf quadrilateral that has its parallel sides equal tο each οther and all the fοur vertices are equal tο 90 degrees. Hence, it is alsο called an equiangular quadrilateral. Since, the οppοsite sides are equal and parallel, in rectangle, therefοre, it can alsο be termed as a parallelοgram.

Using the pοlygοn tοοl a rectangle with length 5 unit and width 3 units has been drawn

check the attachment given belοw tο understand.

To know more about triangle visit:-

brainly.com/question/2773823

#SPJ1

Answer:

-72/5

Step-by-step explanation:

x-6x is -5x and now we have -5x=72 we divide both sides by 5 and we get -72/5

Answer:

(C) 13/6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Point-Slope Form: y - y₁ = m(x - x₁)  

Function Notation

Exponential Properties: \(\sqrt[n]{x} = x^\frac{1}{n}\)

Calculus

The definition of a derivative is the slope of the tangent line.

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

f(x) = ∛x

Tangent Line Point (8, 2)

Find approximation of f(10)

Step 2: Differentiate

Step 3: Find Equation of Tangent Line

Tangent Point (8, 2)

Find instantaneous slope

This is our slope of the tangent line at (8, 2)

Find instantaneous equation

Step 4: Find Approximation

Evaluation f(10)

Here we see that the approximation would be 13/6 using the tangent line approximation (calculus). Therefore, C is the correct answer.