For this function, what would f(34) = 72 mean?
A. That the 34th case has 72 blocks
B. That the y-intercept is 72
C. That the point (72, 34) is part of the solution
D. That the 72nd case has 34 blocks

The graph that represents the function y= tanx is Option A.

The graph of y =tan (x) is a periodic function that has vertical asymptotes at x = (n + 1/2)π, where n is an integer.

It oscillates between positive and   negative infinity, creating a wave-  like pattern.

It has a repeating pattern of sharp peaks and valleys, exhibiting both positive and negative slopes.

Thus, option A is the correct answer.

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Answer:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Step-by-step explanation:

From the given points (negative 2, negative 1), (0, 1), (2, 3), we can determine the domain and range.

The domain represents the set of all possible x-values of the points, and the range represents the set of all possible y-values of the points.

In this case, we can see that the x-values are -2, 0, and 2, and the corresponding y-values are -1, 1, and 3.

Therefore, the correct answer is:

c. domain: {-2, 0, 2}, range: {-1, 1, 3}

Answer:

-19/-24 ?

Step-by-step explanation:

The absolute value is the distance between a number and zero. The distance between −19 and 0 is 19 .

-24 has an absolute value of 24

Answer:

0.791666667 I hope this helped

Step-by-step explanation:

Answer:

9 mi

Step-by-step explanation:

V = 1385.44 mi³, radius r = 14/2 = 7 mi, find h

Use V = πr²h

1385.44 = 3.14 * 7² * h = 153.86 h

so

h = 1385.44/153.86 = 9 mi

The remaining zeros of Degree of f will be = -5 and 4i

According to the given question,

We can see that the given degree is = 3

∴ This means that there are 3 roots ( zeros )

We can conclude from the above statement that,

The number of roots = The degree that is given in the question.

For example, if the question gives the degree = x

Then the roots will also be = x

This question follows the complex conjugate root theorem,

This theorem states that the if there are complex roots with real coefficients then the root of its polynomial, will also be its complex conjugate.

The resultant conjugate of,

⇒ 5 = -5

⇒ -4i = +4i

Therefore, the remaining zeros of Degree of f will be = -5 and 4i

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Answer:

21.142

Step-by-step explanation:

not sure it's correct

4. The area painted red on one of the front wheels is approximately 25.6π square inches

5. The radius of a rear wheel is 6.4 feet.

6.The measure of the Central angle (θ2) for the actual rear wheel.

The area painted red on one of the front wheels,the areas of the blue, green, and red sections and their relationships.

The area painted green is half the area painted red, so it is A/2.

The area painted blue is twice the area painted green, so it is 2 * (A/2) = A.

the entire area of the wheel is given by the formula for the area of a circle: π * r^2, where r is the radius.

The radius of each wheel is 8 inches. Therefore, the entire area of the wheel is π * (8^2) = 64π square inches.

Since the area painted red is A, we have:

A + A/2 + A = 64π

Multiplying through by 2 to eliminate the fraction:

2A + A + 2A = 128π

Combining like terms:

5A = 128π

Dividing both sides by 5:

A = 25.6π

Hence, the area painted red on one of the front wheels is approximately 25.6π square inches.

5. Given that the rear wheels complete 4/5 of a rotation for every full rotation of a front wheel, we can determine the relationship between their circumferences. The circumference of a circle is given by the formula 2πr, where r is the radius.Let r be the radius of a rear wheel. The circumference of a front wheel is 2π(8) = 16π inches.

For the rear wheels, completing 4/5 of a rotation is equivalent to covering 4/5 of the front wheel's circumference. Thus, we have:

4/5 * Circumference of a front wheel = Circumference of a rear wheel

Substituting the values, we get:

4/5 * (16π) = 2πr

Multiplying and canceling like terms:

64π/5 = 2πr

Simplifying:

r = (64π/5) / (2π) = 32/5 = 6.4 feet

Therefore, the radius of a rear wheel is 6.4 feet.

6. Given that the original rear wheels have a radius of 12 inches, the measure of the central angle required to create an arc length equivalent to a full rotation of the actual rear wheel used.

The arc length of the original rear wheel (s1) is equal to the arc length of the actual rear wheel used (s2). The radius of the original rear wheel (r1) is 12 inches, and the radius of the actual rear wheel used (r2) is 6.4 feet.

the central angle θ2 (in radians) for the actual rear wheel used.

s1 = r1 * θ1

s2 = r2 * θ2

Since the arc lengths are equal:

r1 * θ1 = r2 * θ2

Substituting the given values:

12 * θ1 = 6.4 * θ2

Dividing both sides by 12:

θ1 = (6.4/12) * θ2

Simplifying

θ1 = 0.5333 * θ2

Therefore, the measure of the central angle (θ2) for the actual rear wheel used

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The following answers are given as:

2.1)

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

2.2)

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

2.3)

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

2.4)

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

6 teaspoons of vinegar = 15 teaspoons of olive oil.

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 2 on both sides.

2 teaspoons of vinegar = 5 teaspoons of olive oil.

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 8 on both sides.

8 teaspoons of vinegar = 20 teaspoons of olive oil.

Now,

Total number of teaspoons = 42

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 12 on both sides.

12 teaspoons of vinegar = 30 teaspoons of olive oil.

12 + 30 = 42 teaspoons

Now,

1 teaspoon of vinegar = 5/2 teaspoons of olive oil.

Multiply 4 on both sides.

4 teaspoons of vinegar = 10 teaspoons of olive oil.

4 + 10 = 14 teaspoons

Thus,

2 teaspoons of vinegar are needed for 5 teaspoons of olive oil.

8 teaspoons of vinegar are needed for  20 teaspoons of olive oil.

There are 12 teaspoons of vinegar and 30 teaspoons of olive oil in the 42 teaspoons of salad.

There are 4 teaspoons of vinegar and 10 teaspoons of olive oil in the 14 teaspoons of salad.

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Hi!

Okay, so to prove that x = 4, all you have to do is insert 4 into the equation by replacing x with 4.

3x-4=8

3(4)-4=8

Now solve:

12-4=8

8=8

This is true, so x does equal 4.

Answer:

3 30303/125000

Step-by-step explanation:

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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Answer:

Selling 12 cakes will result in $96 in income

Step-by-step explanation:

If the cost of the cakes is $2 and they sell for $10 each, then the profit is ($10 - $2)/cake, or ($8/cake).  Then:

$10 + ($8/cake)c = $100, where c is the number of cakes that must be sold to reach that $100 goal.

                                                                            $90

This simplifies to ($8/cake)c = $90, or c = ------------------- = 11.25 cakes

                                                                          ($8/cake)

Assuming that only whole cakes are sold, we round up this 11.25 cakes to the nearest integer:  C = 12 cakes.

Selling 12 cakes will result in $96 in income.  Only $90 is needed to reach the $100 goal, so we'll have a $6 surplus.

The graph of the function y = 5|x - 4| is added as an attachment

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

y = 5|x - 4|

The above function is an absolute value function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment

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The least restrictive assumption T2 + 0 and T3 # 0

What is structural model?

The items in the system and the static relationships that connect them make up the structural model. Packages or subsystems can be used to divide up groups of items. The structural model is described in object model diagrams. The code that is produced from object model diagrams is described in this section.

It looks like the question you provided contains multiple parts and is discussing the use of instrumental variables (IVs) in regression analysis.

An instrumental variable (IV) is a variable that is correlated with the independent variable in a regression model, but is not correlated with the error term. It is used to estimate the effect of the independent variable on the dependent variable, while controlling for omitted variables that may be correlated with both the independent and dependent variables.

In the question, y2 is the dependent variable, z1 is the endogenous explanatory variable (i.e., the independent variable that is correlated with the error term), and z2 and z3 are the exogenous explanatory variables that are excluded from the model. The reduced form equation for y2 is an equation that expresses y2 as a function of the exogenous explanatory variables and the error term.

The least restrictive assumption we need to impose on the T parameters in order for the instrument y5 to not be perfectly correlated with z1 is T2 + 0 and T3 # 0. This means that the effect of y5 on y2 must not be perfectly correlated with the effect of z1 on y2.

The least restrictive assumption T2 + 0 and T3 # 0

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Answer:

390 cubic centimeters

Step-by-step explanation:

the volume of a box is the length width and height all multiplied together

so this is what the equation would look like

5(6)(13)

you can split this up into

5(6) * 13

so 5(6) is 30

30(13)

this is 390

so the box is 390 cubic centimeters

The answer is:

Work/explanation:

Bear in mind that the sum of all the angles in a triangle is 180°.

Given two angles, we can easily find the third one.

Let's call it x.

Next, we set up an equation:

\(\sf{54+87+x=180}\)

\(\sf{141+x=180}\)

Subtract 141 on each side.

\(\sf{x=180-141}\)

\(\sf{x=39}\)

Answer:

x=7

Step-by-step explanation:

3(x - 2) - 4(x - 5)=​7​

3x+−6+−4x+20=7

(3x+−4x)+(−6+20)=7(Combine Like Terms)

−x+14=7

−x+14=7

Step 2: Subtract 14 from both sides.

−x+14−14=7−14

−x=−7

Step 3: Divide both sides by -1.

−x

−1

=

−7

−1

The true statement for the function p(x) is p(-2) and p(0) cannot be compared as p(0) is undefined. Option D is correct.

The given function is a logarithmic function and it is undefined at x = 0.

First, let us understand the logarithmic function:

A logarithmic function is a function of the form which is read as “ y equals the log of x, base b” or “ y equals the log, base b, of x.” In both forms, x > 0 and b > 0, b ≠ 1.

We are given:

p(x) = log 5x

substitute x = 0 in the above equation, we will get;

p(0) = log 5 × 0

p(0) = log 0

p(0) = undefined

Thus, the true statement for the function p(x) is p(-2) and p(0) cannot be compared because p(0) is undefined. Option D is correct.

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Using the equation of the function p(x) below, determine which of the statements below is true. Show your work.

Captionless Image

p(-2) > p(0)

p(-2) < p(0)

p(-2) and p(0) cannot be compared because p(-2) is undefined.

p(-2) and p(0) cannot be compared because p(0) is undefined.

Answer:  -2

Step-by-step explanation:

4y/4 = -8/4

     y = -2

Answer:

Step-by-step explanation:

Answer is -2

The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.

option B.

The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;

The solution of the graph,

x > -4 and x < 1

The first equation with "≥" is ruled out because the graph doesn't have a thick dot.

Let's simplify the second expression;

x² + 3x - 3 < 0

solve using quadratic formula;

x > -3.79 or x < 0.79

The third expression is ruled out since its solution will be complex.

For the last expression;

x² + 3x - 3 > 0

x < -3.79 or x > 0.79

Thus, the correct inequality expression is x² + 3x - 3 < 0.

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Answer:

9/2

Step-by-step explanation:

Answer:2.8

Step-by-step explanation: casue yeas.

Answer:

14 students have to retake the test

Step-by-step explanation:

to calculate the mean mark as

sum of ( product of mark and frequency ) ÷ total

mean = \(\frac{14(2)+15(10)+16(2)+17(3)+18(13)}{30}\)

        = \(\frac{28+150+32+51+234}{30}\)

       = \(\frac{495}{30}\)

      = 16.5

students who score less than 16.5 will retake the test , that is

2 scored 16 , 10 scored 15 , 2 scored 14

number who have to retake test = 2 + 10 + 2 = 14

Step-by-step explanation:

B^2+8b+7 is a quadratic expression. It can be factored as (b+7)(b+1).

To factor a quadratic expression, you can use the following steps:

1. Find two numbers that add up to the coefficient of the middle term (8) and multiply to the constant term (7).

2. Write the quadratic expression as a product of two binomials, with the two numbers you found in step 1 as the coefficients of the terms in each binomial.

In this case, the two numbers that add up to 8 and multiply to 7 are 7 and 1. So, we can factor B^2+8b+7 as follows:

(b+7)(b+1)

This means that B^2+8b+7 is equal to the product of (b+7) and (b+1).

Here is a step-by-step explanation of how to factor B^2+8b+7:

1. The coefficient of the middle term is 8.

2. The constant term is 7.

3. The two numbers that add up to 8 and multiply to 7 are 7 and 1.

4. Therefore, B^2+8b+7 can be factored as (b+7)(b+1).

Step-by-step explanation:

it seems you solved the tricky part yourself already.

just to be sure, let's do the first derivative here again.

the easiest way would be for me to simply multiply the functional expression out and then do a simple derivative action ...

f(t) = (t² + 6t + 7)(3t² + 3) = 3t⁴ + 3t² + 18t³ + 18t + 21t² + 21 =

= 3t⁴ + 18t³ + 24t² + 18t + 21

f'(t) = 12t³ + 54t² + 48t + 18

and now comes the simple part (what was your problem here, don't you know how functions work ? then you are in a completely wrong class doing derivatives; for that you need to understand what functions are, and how they work). we calculate the function result of f'(2).

we simply put the input number (2) at every place of the input variable (t).

so,

f'(2) = 12×2³ + 54×2² + 48×2 + 18 = 96 + 216 + 96 + 18 =

= 426

Answer:

b = 1

Step-by-step explanation:

Answer:

option A 9/15

im srry i suck at math