two common tolerance zones of a perpendicularity tolerance are two parallel planes or a cylinder. question 4 options: true false

The statement "Every polynomial function is one-to-one" is not true, and a counterexample is the function \(f(x) = x^2\).

A function is said to be one-to-one if distinct elements in the domain are mapped to distinct elements in the range

The statement "Every polynomial function is one-to-one function" is not true, and a counterexample is the function \(f(x) = x^2\).

A function is said to be one-to-one if distinct elements in the domain are mapped to distinct elements in the range.

However, in the case of \(f(x) = x^2\), every non-zero range value has two corresponding domain values (x and -x), except for 0 which has only one.

This means that f(x) is not one-to-one, and the statement is false.

More generally, a polynomial function of degree n has at most n distinct roots, or values of x that make the function equal to 0.

This means that the function may have repeated roots, where the same value of x maps to the same value of y multiple times. This results in the function not being one-to-one.

On the other hand, some functions that are not polynomials can be one-to-one. For example, the exponential function \(f(x) = e^x\) is one-to-one, since it maps distinct values of x to distinct positive values of y.

Similarly, the logarithmic function f(x) = ln(x) is one-to-one on its domain, which is the set of positive real numbers.

In conclusion, while some functions can be one-to-one, not every polynomial function is one-to-one.

The statement "Every polynomial function is one-to-one" is false, and the function \(f(x) = x^2\) provides a simple counterexample

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Answer:       Look down bellow

Step-by-step explanation:

Hope that helped

Answer:

There are 4 terms

Step-by-step explanation:

“Terms are single numbers, variables, or the product of a number and variables. Examples of terms: 9 a 9a 9a. y y y.”

The LCM for 20 and 44 is 220.

The least or smallest common multiple of any two or more given natural numbers are termed as LCM.

For example, LCM of 10, 15 and 20 is 60.

According to the question,

LCM for 20 and 44,

Step 1 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 20 and 44.

we get, 10 and 22.

Step 2 : Divide the given numbers by the least prime number.

Here, 2 is the least number which will divide both 10 and 22.

we get, 5 and 11.

Then, the LCM for 20 and 44 is 2×2×5×11.

                                                = 220.

Hence LCM for 20 and 44 s 220.

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Answer:

Step-by-step explanation:

f(-3) = -2/3(-3) + 2

             2 + 2 = 4

If f(x) is a continuous function on a closed interval [a,b] then:

f(x) is riemann integrable on [a,b]

If a function's lower and higher integrals are identical, the function is said to be Riemann integrable. We define ∫baf(x)dx=L(f,a,b)=U(f,a,b)

Integrability Follows from Continuity: If a function f is integrable on [a,b], it follows that it is continuous on the closed interval [a.b]. The Definite Integral as a Region's Area If the closure has no negative values and f is continuous.

The existence of a number L R such that for each sampled partition that satisfies it holds that indicates that the function f: [a, b] R is Riemann integrable.

Hence we get the required answer.

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Answer:

Do you have a picture of any kind for us to see the actual problems???

The equation which can be used to represent each situation, in terms of x, is;

A = 80 + 2x

B = 45 + 3x

The interval of miles driven, x, for which Company A is cheaper than Company B is when x = 35 miles

Let

Company A:

A = 80 + 2x

Company B:

B = 45 + 3x

Company B > Company A:

45 + 3x > 80 + 2x

collect like terms

3x - 2x > 80 - 45

x > 35

In conclusion, the interval of miles driven, x, for which Company A is cheaper than Company B is 35 miles.

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Answer:

1/2 ÷ 3/10

1/2×10/3

5/3

1 2/3

1) option is correct

9514 1404 393

Answer:

  1)  1 2/3

Step-by-step explanation:

The model of choice 1 shows that 3/10 goes into 1/2 one and two-thirds times. That also happens to be the only model with the correct result.

  1/2 ÷ 3/10 = 5/10 ÷ 3/10 = 5/3 = 1 2/3

Answer:

30

Step-by-step explanation:

4 squares = 14 cm

1 square = 14÷4 = 3.5 cm.

Radius = 3.5 cm

Length of 2 small arcs = 90/360 × 2 pi R = 1/4 × 2 × 3.14 × 3.5 = 5.495 cm (here R is one square)

Length of 2 big arcs = 90/360 × 2 pi R = 1/4 × 2 × 3.14 × 7 = 10.99 cm (here R is two squares)

Length of 4 lines = 4 × 3.5 = 14 cm

Perimeter = total length = 14 + 10.99 + 5.495 = 30.485 = 30 cm (nearest cm)

The height of the mt. Everest in miles exists 5.499 miles.

By changing the unit of measurement, a quality can be expressed differently. In contrast to distance, which can be stated in miles, kilometers, feet, or any other unit of length, time can also be expressed in minutes rather than hours.

By multiplying or dividing a number, a conversion factor can be used to change one set of units to another. The right conversion factor to an equal value must be used when a conversion is required. The correct conversion factor, for instance, is 12 inches to 1 foot when converting between inches and feet.

The height of the mt. Everest is : 29035 feet.

The unit conversion is given as :

5280 feet = 1 mile

1 feet = 1/5280 mile

So, 29035 feet =29035 × 1/5280 miles

29035 feet = 29035/5280 miles

29035 feet = 5.499 miles

So, the height of the mt. Everest in miles is 5.499 miles.

The complete question is:

In the Himalaya mountains along the border of Tibet and Nepal, mount Everest reaches a record height of 29,035 feet. how high is mt. Everest in miles? use the conversion equivalency of 1 mile = 5280 feet.

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Answer:  The height of the Mount Everest in miles is 5.499 miles

Step-by-step explanation:

1 miles = 5,280 feet

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The process capability, Cp is calculated by dividing the upper specification limit minus lower specification limit by 6 times the process standard deviation.

This is the formula for the process capability.

Cp = (USL - LSL) / (6 * Standard deviation)

Where, Cp is process capability USL is the Upper Specification Limit LSL is the Lower Specification Limit Standard deviation is the process standard deviation.

The extrudate is subsequently cut into individual parts, and the extruded parts have a critical cross-sectional dimension = 12.50 mm with standard deviation = 0.25 mm. The mean of this distribution is the center line of the control chart and the critical cross-sectional dimension 12.50 mm is the target or specification value.

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Answer:

$44.4.

Step-by-step explanation: To find the new price, we would simply perform "37 + 20%" yielding 44.4, or forty four dollars and 40 cents. Hope this answered your question.

Answer: 44.4

Step-by-step explanation:

To calculate the original price of a discounted or sale item, you need to know the sale price and the discount percentage. The calculations include a simple formula that divides the sale price by the result of 1 minus the discount in percentage form. Use this formula to calculate the original or list price of an item.

Answer:

B. m1 = 120

Step-by-step explanation:

Since there is a right angle at 3 and 4, you can conclude that both those angles are 90 degrees as well.

Additionally, using the straight line rule for angle 5, 180 - 150 = 30

Now to calculate angle 2, you take both angles 3 and 5 and subtract from 180:

180 - 90 - 30 = 60

Using the straight line rule again for angle 1, 180 - 60 = 120

You can conclude that m1 = 120 degrees

Therefore, the standard deviation of the number of sycamore trees killed by the chemical in a sample of 250 trees is approximately 6.32.

To calculate the standard deviation, we need to determine the variance first. Given that the chemical kills 20% of the sycamore trees, we can conclude that the probability of a tree being killed by the chemical is 0.20. Let's denote the random variable X as the number of sycamore trees killed by the chemical in a sample of 250 trees. The distribution of X follows a binomial distribution with parameters n = 250 (sample size) and p = 0.20 (probability of success).

The variance of a binomial distribution is given by the formula:

Var(X) = n * p * (1 - p)

Substituting the values, we have:

Var(X) = 250 * 0.20 * (1 - 0.20)

= 250 * 0.20 * 0.80

= 40

The standard deviation (σ) is the square root of the variance:

σ = √(Var(X))

= √(40)

≈ 6.32

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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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(1) To find the resonant frequencies of the model T(s) = 7/s(s2 +6s+58), we first need to factor the denominator:

s(s2 +6s+58) = s(s+3-√31i)(s+3+√31i)

The resonant frequencies occur at the poles of the transfer function, which are the roots of the denominator. Therefore, the resonant frequencies are:

ω1 = 0 (from the pole at s = 0)

ω2 = √31 (from the poles at s = -3±√31i)

(2) To find the resonant frequencies of the model T(s) = 7/ (3s2 +18s+174)(2s2 +85+58), we first need to factor the denominator:

(3s2 +18s+174)(2s2 +85+58) = 6(s+3+i√11)(s+3-i√11)(s+(-7+i√85)/2)(s+(-7-i√85)/2)

The resonant frequencies occur at the poles of the transfer function, which are the roots of the denominator. Therefore, the resonant frequencies are:

ω1 = √11 (from the poles at s = -3±i√11)

ω2 = √85/2 (from the poles at s = (-7±i√85)/2)

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The number has been assigned to be number line and attached as a picture

A number line refers to a picture representing array of numbers arranged to suit the calculation intended to represent.

The picture shows a number line from -6 to 6

The division in the number line is showing two lines representing 1/3 and 2/3 before the next number.

This means that the point before point 6 counting from point 5 is 5 1/3, 5 2/3 then point 6

For the negative direction we have

-5, -5 1/3, -5 2/3, -6

The required answer to the questions attached

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Answer:

I'm pretty sure its B but I'm not completely sure, I haven't done this in a while.

Step-by-step explanation:

Legend

The term that refers to the labels at the right of the graph indicating how each subcategory is represented is the Legend.

The Legend is a key that indicates what the different colors, lines, or other symbols in a graph represent. It is usually located at the right or bottom of the graph and provides a clear explanation of the different subcategories.

The Legend is an essential component of a graph, as it helps the viewer understand the information presented in the graph. Without the Legend, the graph can be confusing and difficult to interpret. It is important to ensure that the Legend is clear and easy to understand so that the viewer can quickly identify the different subcategories represented in the graph.

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Answer:

vz

Step-by-step explanation:

3x+y=−5,x=y−3

Consider the second equation. Subtract y from both sides.

x−y=−3

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

3x+y=−5,x−y=−3

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

3x+y=−5

Subtract y from both sides of the equation.

3x=−y−5

Divide both sides by 3.

x=

3

1

​

(−y−5)

Multiply  

3

1

​

 times −y−5.

x=−

3

1

​

y−

3

5

​

Substitute  

3

−y−5

​

 for x in the other equation, x−y=−3.

−

3

1

​

y−

3

5

​

−y=−3

Add −

3

y

​

 to −y.

−

3

4

​

y−

3

5

​

=−3

Add  

3

5

​

 to both sides of the equation.

−

3

4

​

y=−

3

4

​

Divide both sides of the equation by −

3

4

​

, which is the same as multiplying both sides by the reciprocal of the fraction.

y=1

Substitute 1 for y in x=−

3

1

​

y−

3

5

​

. Because the resulting equation contains only one variable, you can solve for x directly.

x=

3

−1−5

​

Add −

3

5

​

 to −

3

1

​

 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x=−2

The system is now solved.

x=−2,y=1

Answer:

0.03773584905

or 0.04

Step-by-step explanation: if this was not what you were looking for,

Answer:

The final price would be 2.11$

The difference between the two localities is 1 speaker.

Let's solve the problems step by step:

a) To determine which of the two locations has a higher number of speakers of a language other than Spanish, we need to compare the ratios of speakers in El Cerrito and El Paseo.

In El Cerrito, 3 out of every 4 people speak a different language than Spanish. This can be written as a ratio: 3:4.

In El Paseo, 5 out of every 7 people speak a different language than Spanish. This can be written as a ratio: 5:7.

To compare the two ratios, we can find a common denominator. In this case, the least common multiple of 4 and 7 is 28.

In El Cerrito, the ratio becomes 21:28 (multiplying both sides by 7).

In El Paseo, the ratio becomes 20:28 (multiplying both sides by 4).

From the ratios, we can see that in El Cerrito, there are 21 out of 28 people who speak a different language than Spanish, while in El Paseo, there are 20 out of 28 people who speak a different language than Spanish.

Since 21 is greater than 20, El Cerrito has a higher number of speakers of a language other than Spanish.

b) The difference between the two localities can be calculated by subtracting the number of speakers in El Paseo from the number of speakers in El Cerrito.

In El Cerrito, there are 21 speakers of a different language than Spanish.

In El Paseo, there are 20 speakers of a different language than Spanish.

The difference is obtained by subtracting 20 from 21, resulting in a difference of 1 speaker.

Therefore, the difference between the two localities is 1 speaker.

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Answer:

the answer to your question is 24

Step-by-step explanation:

hope this helps

Step-by-step explanation:

119°+29°+n°=180°. (Sum of all the angles of triangle)

So,

158°+n= 180°

n= 180°-158°

n= 22°

Answer:

n = 22°

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

When the diameter is 9 cm, the rate at which the diameter decreases is  -0.071 cm/min.

The surface area of a sphere is given by the formula:

A = 4πr²,

where

r is the radius of the sphere.

Since the diameter is twice the radius, we have:

D = 2r,

where D is the diameter.

We can differentiate both sides of the equation with respect to time (t) to get the rate of change of the diameter:

dD/dt = 2(dr/dt)

Now, we are given that the surface area decreases at a rate of 4 cm^2/min, which means dA/dt = -4 cm²/min.

We need to find the rate at which the diameter decreases, so we need to solve for dr/dt.

First, express the surface area in terms of the diameter:

A = 4πr²

A = 4π(D/2)²

A = πD²

Now, differentiate both sides of the equation with respect to time:

dA/dt = d(πD²)/dt

-4 = 2πD(dD/dt)

Substituting the given value for dA/dt and the value for D when the diameter is 9 cm:

-4 = 2π(9)(dD/dt)

Now solve for dD/dt:

dD/dt = -4 / (2π(9))

dD/dt = -2 / (9π)

To find the numerical value, substitute π with its approximation, 3.14159:

dD/dt = -2 / (9 * 3.14159)

dD/dt = -0.071 cm/min

Therefore, when the diameter is 9 cm, the rate at which the diameter decreases is approximately -0.071 cm/min.

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Answer:

26

Step-by-step explanation:

normally this should be way below your math abilities in 9th grade.

but here as a reminder :

dot operations (like multiplication and division) happen before any dash operations (addition, subtraction).

so when we go through here we see therefore

-32/8 and 5×-2 have to be calculated first (I use × instead of ., because a fit can be so easily missed or misunderstood).

and then : mind the "-" signs to actually sign all terms for the final sum.

so, -32/8 = -4

5×-2 = -10

now we have

40 - 4 - 10 = 26

Answer:

n = 47/3

Step-by-step explanation:

Let the number be n.  

Then tripling this number and subtracting 4 from the result is 3n - 4 = 43

This result could be solved for n as follows:

Add 4 to both sides:  3n = 47

Then n = 47/3