3. What size holes in angle e? A. 13/16 inch B. \( 15 / 16 \) inch C. 2 inch
\( 4.9 \) If you are going to drill and tape a \( 1 / 2 \) " bolt hole to bolt a machine part to heavy cast iron housing,

The two equations that have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p are: 2.3p - 10.1 = 6.49p - 4 and 2.3p - 14.1 = 6.4p - 4.

The addition feature of equality was employed in the aforementioned case to isolate the p word. According to this characteristic, an equation is still valid if the same amount is added to both sides of it. To isolate the p component on one side of the equation 2.3p - 10.1 = 6.49p - 4 in the previous issue, we added 4 to both sides of the equation.

For the given set of equations we can rewrite them as follows:

2.3p - 10.1 = 6.5p - 4 - 0.01p

-10.1 = 4.19p - 4

p = 1.66

The similar solution is obtained for the equation 2.3p - 14.1 = 6.4p - 4.

Hence, the two equations that have the same solution as 2.3p - 10.1 = 6.5p - 4 - 0.01p are: 2.3p - 10.1 = 6.49p - 4 and 2.3p - 14.1 = 6.4p - 4

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Step-by-step explanation:

The answer is 72

Answer:

x = 13

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3(x - 4) = 2x + 1

Step 2: Solve for x

The correct option is A. The volume is 6.77 cubic units

The function and interval given are f(x) = (x - 1)^-1/4 and the x-axis on the interval (1, 6].

We want to find the volume of the solid of revolution when the region is rotated about the x-axis.

Let's consider the graph of the function: graph{(x-1)^(-1/4) [-10, 10, -5, 5]}

To set up the integral to find the volume of the solid of revolution, we can use the disk method.

We need to integrate the area of each disk perpendicular to the x-axis from x = 1 to x = 6.

The area of a disk is given by the formula: A = πr²

where r is the radius of the disk and is equal to f(x) in this case.

Therefore, the area of a disk is: A = πf(x)²

Let's substitute f(x) into this formula and integrate from x = 1 to x = 6 to get the volume of the solid.

We have The integral that should be used to find the volume of the solid is given as:

V = ∫₁⁶ πf(x)² dx

We substitute f(x) = (x - 1)^(-1/4) into this expression and integrate to get the volume.

We have: V = ∫₁⁶ π(x - 1)^(-1/2) dx

Let u = x - 1, so that du/dx = 1 and dx = du.

When x = 1, u = 0, and when x = 6, u = 5.

Therefore, we have: V = ∫₀⁵ πu^(-1/2) du= 2π[u^(1/2)]₀⁵= 2π(√5 - 1) ≈ 6.77 cubic units.

The volume of the solid of revolution when the region is rotated about the x-axis is approximately 6.77 cubic units.

Thus, the correct option is A. The volume is 6.77 cubic units.

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Answer: 2.3

Step-by-step explanation: 2 and 1/3 is equivalent to 2.3

Answer:

2.3

Step-by-step explanation:

Hope this helps! (:

Answer:

The height would be 18.99

The least number of hours from now when the clock will again show the correct time is 720 minutes

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

According to the data problem,

The clock will show the correct time again when it lost 12 hours

As every hour it loses 1 minute,  the clock have to lose 12 hours in minutes, so we get:

12 hour * (60 minutes / 1 hour) = 720 minutes

Therefore, the least number of hours from now when the clock will again show the correct time is 720 minutes.

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Answer:

X is an algebraic variable which has no defined value.

Step-by-step explanation:

took the test

Answer 8.06 X 10-8 M*4

Step-by-step explanation: No Explanation Just Answer srry could think of a way to say it.

\( \begin{cases}\large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: 2 \: g \: - \: 23 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \: g \: = \: - 21 \: g \: + \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 53 \:g \: + \: 21 \: g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \: 74 \:g \: = \: 2 \\ \\ \large\bf{\red{ \implies}} \tt \:g \: = \: \cancel\frac{2}{74} \\ \\ \large\bf{\red{ \implies}} \tt \: g \: = \: \frac{1}{37} \end{cases}\)

The value of g from the given equation is 1/37.

The given equation is 53g=2g-23g+2.

We need to solve the given equation for g.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Now, 53g=2g-23g+2 can be solved for g as follows:

That is, 53g=-21g+2

⇒53g+21g=2

⇒74g=2

⇒g=2/74=1/37

Therefore, the value of g from the given equation is 1/37.

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Answer: A. -3

A1. -2

A2. -6

Step-by-step explanation:

The expression -3x^2 - 24x - 36 can be factored into the form (ax + b)(cx + d) by using the technique of grouping or by using the factoring by grouping method.

The factored form of -3x^2 - 24x - 36 is

( -3x - 6)( x + 6)

So the answer is:

A. -3

A1. -2

A2. -6

Answer:

12 cm^3

Step-by-step explanation:

Before we do anything, we should set up the proportion.

\(\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}\)

Now do the Cancelations of \pi r^2 on the left.

h// (4/3) r  = 18/x

but h = 2*r

2r // (4/3) * r   = 18/x   Cancel the rs on the left

2// (4/3) = 18/x            Make 2 = 2/1 so you can handle the fraction

2/1 // (4/3) = 18/x         Invert and multiply the denominator

2/1 * 3/4 = 18/x

6/4 = 18x                     You can reduce the left side

3/2 = 18x                     Cross multiply

3x = 2*18                     Combine the right

3x = 36                        Divide by 3

x = 12

So what you have found is the volume of the sphere. 12 cm^3

This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).

I'm a little long winded here, but the first time you see this, you should be given very small steps.

The value of length SP for the two given similar triangles is 11.

Similar triangles are triangles that have the same shape but are different in size. In other words, their corresponding angles are equal, and their corresponding sides are proportional.

This means that if you were to take one of the similar triangles and enlarge or shrink it, while keeping the angles the same, it would still be a similar triangle.

The value of length SP is calculated by applying the following method;

|SP| = |ST|

3x + 2 = 5x - 4

3x - 5x = -4 - 2

-2x = - 6

x = 3

Length SP = 3x + 2

                 = 3(3) + 2

                 = 11

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The function to represent the value of car is h(x) = 20000 × (0.85)ˣ which represents a dilation of factor 20000 from f(x) = 0.85ˣ and the difference in values after 5 years is $3549.64.

A function y = f(x) is a one to one relationship between two sets X and Y where the set X is called the domain and Y the range of function f(x) ans x ∈ X and y ∈ Y.

The graph represents depreciation of $12000 car as g(x) = 12000 × (0.85)ˣ.

Its parent function is f(x) = 0.85ˣ.

(a) As per the question, the equation for a $20000 car can be written as,

h(x) = 20000 × (0.85)ˣ.

(b) The function h(x) can be described as a dilation of f(x).

Its, scale factor is 20000.

(c) After 5 years the difference in values of car is as below,

20000 × (0.85)ˣ - 12000 × (0.85)ˣ

Plug x = 5 to get,

⇒ 8000 × (0.85)⁵ = $3549.64

Hence, the difference in the values of car after 5 years represented by functions g(x) = 12000 × (0.85)ˣ and 20000 × (0.85)ˣ is  $3549.64.

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Answer: Positive correlation

Step-by-step explanation:

As you go up and along the graph the values go up.

Both have to be increasing basically.

Answer:

1

X+.12*x=190.40

X(1+.12)=190.40

X=190.40/1.12=170

2a

X+x+25=100

2x=75

X=37.5%

Men=.375*270=101

2b

Step-by-step explanation:

3x + 19 = 4x - 2

19 + 2 = 4x - 3x

21 = x

x = 21

Answer:

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

Total number of marbles:

Probability of a first red marble:

Probability of a second red marble:

Probability of a third red marble:

Probability of drawing three red marbles is:

As per the statements given in the question, the equations are N(t) = 930 + (t/4)32, N(t) = 930 - (t/2)64, N(t)= 930 + (2t)36.

In mathematics, a fraction is represented by a specific number that designates a portion of an entire. A fraction is a piece or section of a whole, whereby a can have been any number, a particular value, or an object.

As per the given information in the question,

Total number of students enrolled in new charter = 930

1.

Increases by 32 students every 4 years, the equation will be,

N(t) = 930 + (t/4)32

Here, t is the number of years.

2.

Decreases by 64 students every 2 years, the equation will be,

N(t) = 930 - (t/2)64

One more

3.

Increases by 36 students every semester (twice each year), the equation will be,

N(t)= 930 + (2t)36

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The number of nickel coins and dime coins are 11 and 20 respectively.

Ceci has $2.55 in nickels and dimes

Nickel coin is worth 5 cents and the dime coin is worth 10 cents

1$ = 100 cents

Total money Ceci has is 2.55 x 100 cents = 255 cents

Let the number of nickel coin be x

then the number of dime = x + 9

5x + 10(x + 9) = 255

5x + 10x + 90 = 255

15x = 255 - 90

15x = 165

x = 11

The number of nickel coin = 11

dime coin = x + 9

= 11 + 9 = 20

Therefore. the number of nickel coins and dime coins are 11 and 20 respectively.

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According to the question we have our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

To prove that there are infinitely many primes of the form 4k+3, where k is a nonnegative integer, we can use a proof by contradiction. Assume that there are only finitely many primes of this form, say p1, p2, p3, ..., pn.

Consider the number N = 4(p1p2p3...pn) - 1. This number is of the form 4k+3, since the product of primes is also of this form.

Now, any prime factor of N must also be of the form 4k+3, since any prime factor of N cannot be 2 (since N is odd) and it cannot be of the form 4k+1 (since N leaves a remainder of 3 when divided by 4).

However, this contradicts our assumption that p1, p2, p3, ..., pn are the only primes of the form 4k+3, since N is a prime greater than pn and is also of this form.

Therefore, our assumption must be false and there are indeed infinitely many primes of the form 4k+3.

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The solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7, meaning that w equals negative six-sevenths when the equation is true.

To solve the equation -1/2w - 3/5 = 1/5w, we'll start by simplifying and rearranging the terms to isolate the variable w.

First, we'll combine like terms on the left side of the equation:

-1/2w - 3/5 = 1/5w

To make the equation easier to work with, let's get rid of the fractions by multiplying every term in the equation by the common denominator, which is 10:

10 * (-1/2w) - 10 * (3/5) = 10 * (1/5w)

This simplifies to:

-5w - 6 = 2w

Next, we'll group the w terms on one side of the equation and the constant terms on the other side:

-5w - 2w = 6

Combining like terms, we have:

-7w = 6

Now, we'll isolate the variable w by dividing both sides of the equation by -7:

(-7w)/(-7) = 6/(-7)

This simplifies to:

w = -6/7

Therefore, the solution to the equation -1/2w - 3/5 = 1/5w is w = -6/7.

In conclusion, w is equal to -6/7 when the equation -1/2w - 3/5 = 1/5w is satisfied.

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In statistics, n is used to denote sample size. This gives the total number of participants under study.

In statistics, n is defined as the sample size. It refers to the total number of participants or the total number of observations that are included in a study. This size of the sample is drawn from the given population. This value is important because this directly influences the research study.

This sample size is affected by study design, standard deviation, sampling method, significance level, and study power. For example, you have to determine the mineral concentration in different types of soil. For this, you are taking 5 different soil samples. Here, the sample size is 5.

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Answer:

Step-by-step explanation:

Refer to attached table for inputs

Below equation is for total time traveled (middle column of table). Solving for x:

Speed of wind is 6 miles per hour

A) the three inequalities that must be satisfied are:

B) Graph shaded and satisfying all conditions is attached.

An inequality in mathematics is a relationship that makes a non-equal comparison between two integers or other mathematical expressions.

It is most commonly used to compare the sizes of two numbers on a number line.

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The value of 4.62 times 3.78 equals 17.4828.

We have to find  4.62 times 3.78 in standard algorithm

To multiply 4.62 by 3.78 using the standard algorithm, follow these steps:

 4.62

x 3.78

------

 27756  (multiply 8 by 2)

+184368  (multiply 7 by 2, then 8 by 6, and add to the previous result)

-------

 17.4828  (the final answer)

Hence, the value of 4.62 times 3.78 equals 17.4828.

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Answer:

lol im guessing b?

Step-by-step explanation:

tell me if i got it wrong if so ill try to fix my answer