y = 5x + 14
what is the CROC (Constant Rate Of Change)?
and how do you know. (please help i've been stuck on this for about an hours now :,). )

Answer:

what is the cost of each

Step-by-step explanation:

Answer:

6 5/6

Step-by-step explanation:

diameter is radius multiplied by 2

* means multiplied by

3 5/12 = 41/12

41/12 * 2 = 82/12 = 6 5/6

Answer: 6 5/12

Step-by-step explanation: i just took the k12 test and this is the corret answer

Answer:

66 pages

Step-by-step explanation:

I think that is the answer hope it helps you.

The production manager's claim that no more than 4,000 insulating washers are defective per day is likely to be true, based on the sample of 200 washers.

Proportion refers to the relationship between two quantities or numbers, indicating how they are related to each other in size or amount.

To determine whether the production manager's claim is likely to be true, we can use hypothesis testing. We can formulate the following hypotheses:

Null hypothesis (H0): The true proportion of defective insulating washers is equal to or less than 0.02 (4,000/225,000).

Alternative hypothesis (Ha): The true proportion of defective insulating washers is greater than 0.02.

We can use a significance level of 0.05, which means we are willing to accept a 5% chance of rejecting the null hypothesis when it is actually true.

To test these hypotheses, we need to calculate the test statistic and p-value. We can use the normal approximation to the binomial distribution, since the sample size (200) is large enough and the proportion of defective washers is relatively small (0.02).

The test statistic is calculated as:

z = (0.02 - 0.02) / √(0.02×(1-0.02)/200) = 0

The p-value is the probability of getting a test statistic as extreme or more extreme than the one observed, assuming the null hypothesis is true. Since we are testing the alternative hypothesis that the true proportion of defectives is greater than 0.02, we need to calculate the right-tailed p-value. We can use a standard normal distribution to calculate the p-value:

p-value = P(Z > z) = P(Z > 0) = 0.5

We are unable to reject the null hypothesis since the p-value is higher than the significance level of 0.05. This means we do not have sufficient evidence to conclude that the true proportion of defective insulating washers is greater than 0.02.

Therefore, the production manager's claim that no more than 4,000 insulating washers are defective per day is likely to be true, based on the sample of 200 washers.

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The total time taken to make combined 60 cookies by Larry and Mary is equal to 75.79 minutes.

Rate at which each person can make cookies

Time to make one batch of 3 cookies made by Larry = 8 minutes

⇒Number of cookies per minute = 3/8 cookies

Time to make one batch of 5 cookies made by Mary = 12 minutes

⇒Number of cookies per minute = 5/12 cookies

Combined rate at which they make cookies,

= 3/8 + 5/12

= 9/24 + 10/24

= 19/24 cookies per minute

Together they can make 19/24 cookies per minute.

To make a total of 60 cookies,

Let 't' be the time in minutes required to make 60 cookies.

⇒ (19/24) t = 60

⇒ t = (60)/(19/24)

⇒ t  = 75.79 minutes (rounded to two decimal places)

Therefore, total time taken by  Larry and Mary approximately 75.79 minutes to make a combined total of 60 cookies.

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Answer:

\(x=-6+2\sqrt{7}\)

\(x=-6-2\sqrt{7}\)

Step-by-step explanation:

Completing the square

when  \(ax^2+bx+c=0\)

Given equation:

\(x^2+12x+8=0\)

Subtract 8 from both sides:

\(\implies x^2+12x=-8\)

Add the square of half the coefficient of \(x\) to both sides:

\((\frac{b}{2})^2=(\frac{12}{2})^2=36\)

\(\implies x^2+12x+36=-8+36\)

Factor the left side and simplify the right side:

\(\implies (x+6)^2=28\)

Subtract 28 from both sides:

\(\implies (x+6)^2-28=0\)

Solve

\(\implies (x+6)^2=28\)

\(\implies x+6=\pm\sqrt{28}\)

\(\implies x+6=\pm\sqrt{4 \cdot 7}\)

\(\implies x+6=\pm\sqrt{4}\sqrt{7}\)

\(\implies x+6=\pm2\sqrt{7}\)

\(\implies x=-6\pm2\sqrt{7}\)

The solution of the equation is,

x = - 6 + 2√7

x = - 6 - 2√7

We have to give that,

A quadratic equation is,

x² + 12x + 8 = 0

Now, simplify the equation by completing the square as,

x² + 12x + 8 = 0

Subtract 8 from both sides:

x² + 12x =- 8

Add the square of half the coefficient of x to both sides:

(12/2)² = 6²= 36

Factor the left side and simplify the right side:

Subtract 36 from both sides:

x² + 12x + 36 = - 8 + 36

(x + 6)² = 28

x + 6 = √28

x + 6 = ± 2√7

This gives two solutions,

x + 6 = 2√7

x = - 6 + 2√7

x + 6 = - 2√7

x = - 6 - 2√7

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The predicted percentage of all fatal accidents due to failing to yield the right of way for 75-year-olds is [predicted percentage].

To predict the percentage of all fatal accidents due to failing to yield the right of way for 75-year-olds by Linear regression, we can analyze the relationship between age (x) and the percentage of accidents (y) from the given data pairs.

By observing the pattern and trend in the data, we can make an estimation for the missing age value.

Based on the provided data pairs, as the age increases, the percentage of accidents due to failure to yield the right of way also tends to increase.

We can assume a linear relationship between age and the percentage of accidents and use linear regression to make a prediction.

Using linear regression techniques, we can fit a line to the given data points and extend it to estimate the percentage for 75-year-olds.

By interpolating the line, we can determine the predicted percentage of fatal accidents due to failing to yield the right of way for 75-year-olds.

It's important to note that the accuracy of the prediction depends on the assumption of linearity and the representativeness of the available data.

Additionally, other factors not considered in this analysis may also influence the percentage of accidents at different ages.

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2x + 17 grows no faster than 3x as x approaches infinity.

To show that 2x + 17 is O(3x), we need to find two positive constants, C and k, such that:

|2x + 17| <= C|3x| for all x > k

We can start by simplifying the left-hand side:

|2x + 17| = 2x + 17 (since x is always non-negative)

Next, we can simplify the right-hand side:

|3x| = 3x

Now, we need to find C and k that satisfy the inequality:

2x + 17 <= C*3x for all x > k

Dividing both sides by 3x, we get:

(2/3) + (17/3x) <= C for all x > k

Since (2/3) is a constant, we only need to find a value of k such that (17/3x) is less than some other constant. Let's choose k = 1, then:

(17/3x) < 6 for all x > 1

So, we can choose C = 6 and k = 1. Therefore, we have shown that:

|2x + 17| <= 6|3x| for all x > 1

This satisfies the definition of 2x + 17 being O(3x), which means that 2x + 17 grows no faster than 3x as x approaches infinity.

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Answer:

You are right . They are not the same

ANSWER:

No solution

STEP-BY-STEP EXPLANATION:

We have the following inequality:

The value of 7 is not less than -2, so this is false.

Which means that the set has no solution

Answer: A is 80 and B is 85 train B is going faster

Step-by-step explanation:

hope this helps

because A is already given and to find b divide d/t to find constant and after doing so b is 5km per hour faster

Step-by-step explanation:

8) u = vw + z

For v,

u = vw + z

u - z = vw

(u - z)/w = v

v = (u - z)/w

9) x = b - cd

For c,

x = b - cd

x - b = -cd

-(x - b)/d = c

c = -(x - b)/d

= (-x + b)/d

OR

x = b - cd

cd = b - x

c = (b - x)/d

10) fg - 9h = 10j

For g,

fg - 9h = 10j

fg = 10j + 9h

g = (10j + 9h)/f

11) 10m - p = -n

For m,

10m - p = -n

10m = -n + p

m = (-n +p)/10

12) r = (2/3)t + v

For t,

r = (2/3)t + v

r = 2t/3 +v

r - v = 2t/3

3(r - v) = 2t

t = 3(r - v)/2

13) (5/9) v + w = z

For v,

5v/9 + w = z

5v/9 = z - w

5v = 9(z - w)

v = 9(z - w)/5

14) (10ac - x)/11 = -3

For a,

(10ac - x)/11 = -3

10ac - x = -3 × 11

10ac - x = -33

10ac = x - 33

a = (x - 33)/10c

15) (df + 10)/6 = g

For f,

(df + 10)/6 = g

df + 10 = 6g

df = 6g - 10

f = (6g - 10)/d

The value of cos I as a fraction in simplest terms is 4/5.

This is a problem based on trigonometry. Trigonometry is a field of mathematics that explores the connections between triangle side lengths and angles. The length of the hypotenuse is 25. The length of the perpendicular is 15. The length of the base is unknown. We know that the angle ∠IJK = 90°.

We need to find the value of Cos(I). But we don't know the value of the length of the base of the triangle. So, we will first find Sin(I).

Sin(I) = 15/25

Sin(I) = 3/5

We know the trigonometric identity that Sin²θ + Cos²θ = 1.

Sin²I + Cos²I = 1

Cos²I = 1 - Sin²I

Cos²I = 1 - (3/5)²

Cos²I = 1 - (9/25)

Cos²I = (25 - 9)/25

Cos²I = 16/25

Cos(I) = √(16/25)

Cos(I) = 4/5

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Using linear functions, it is found that the two stocks will be nearly equal in 30 months.

A linear function is modeled by:

y = mx + b

In which:

Each of the stocks can be modeled by these following functions:

They will be equal when:

S1(t) = S2(t).

Hence:

39.63 + 0.3t = 24.45 + 0.8t

0.5t = 15.18

t = 15.18/0.5

t = 30.36.

Rounding, approximately 30 months.

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Answer:

N and P

Step-by-step explanation:

N and P grab a like and move the ends in a circle around each letter if they look symmetrical at any point that letter has a line of symmetry.

Answer:

p and n

Step-by-step explanation:

symmetry means they look like a reflection. cutting the letter X in half would give you two parts which look like > and <. Those two parts are reflections of each other. P is the only letter that can't be cut in half to produce two similar parts.

Hope this helps!

Answer:

a = m+30

Step-by-step explanation:

malik is always 30 points under alexia  so in order for malik to be equal to alexia he would have to add an additional 30. i hope this helps :)

Given the expression:

You need to remember the order of operations PEMDAS. This is:

- P: Parentheses.

- E: Exponents.

- M and D: Multiplication and Division.

- A and S: Addition and Subtraction.

Therefore, you can conclude that the operations inside the parentheses should be solved first. In this case, the operation inside the parentheses is the Addition of 8 and 2.

Hence, the answer is: Option A.

Answer:

\(434\frac{6}{23}\)  

I hope this helps!

Answer:

It would be the second one, angle A would equal angle F

Step-by-step explanation:

They are both in the same position. A is the first one in the sequence ABC and F is the first one in the sequence FED

Answer:

.            .            .  

Step-by-step explanation:

.            .             .    

Answer:

g(-4) =1

Step-by-step explanation:

g(-4) we want to find the value of the graph when x = -4

Got over to x=-4

Got up to the blue line

read the value of the y coordinate

y=1

g(-4) =1

Scientific notation is the way through which a very small or a very large number can be written in shorthand. The given following number or sentences can be written in the form of scientific notation as shown.

Scientific notation is the way through which a very small or a very large number can be written in shorthand.  In scientific notations when a number between 1 and 10s is multiplied by a power of 10.

For example, 6,500,000,000,000 can be written as 6.5e+12 or 6.5×10¹².

The given following number or sentences can be written in the form of scientific notation as shown below.

a.) 1,000,000 = 1×10⁶ = 1e+6

b.) .00005 = 5×10⁻⁵ = 5e-5

c.) 40 thousand = 40,000 = 4×10⁴ = 4e+4

d.) 7 trillion = 7,000,000,000,000 = 7×10¹² = 7e+12

e.) 8 thousandths = 0.008 = 8×10⁻³ = 8e-3

f.) one tenth = 0.1 = 1×10⁻¹ = 1e-1

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The solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

To solve the given differential equation (DE), we can use the integrating factor method. The steps are as follows:

1. Multiply both sides of the DE by the integrating factor, which is the exponential of the integral of the coefficient of y. In this case, the coefficient of y is (x + 2), so the integrating factor is e^(∫(x+2)dx) = e^(x^2/2 + 2x).

So, we have: (x + 1) e^(x^2/2 + 2x) dy/dx + (x + 2) e^(x^2/2 + 2x) y = 2x e^(x^2/2 + 2x) e^(-xy)

2. Notice that the left-hand side of the DE is the product of the derivative of y with respect to x and the integrating factor, so we can apply the product rule of differentiation to obtain:

d/dx [ e^(x^2/2 + 2x) y ] = 2x e^(x^2/2 + 2x) e^(-xy)

3. Integrate both sides of the previous equation with respect to x to obtain:

e^(x^2/2 + 2x) y = - e^(-xy) + C

where C is the constant of integration.

4. Solve for y by dividing both sides by the integrating factor:

y = [- e^(-xy) + C] e^(-x^2/2 - 2x)

This is the general solution of the given DE.

Note that the solution involves an integral that cannot be evaluated in closed form, so the answer cannot be simplified further.

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By using given figure, x=9/4 and the length of GH = 21.75.

What is the length ?

Here, in given figure,

BG≈GF and CH≈HE

now by using these similarities, we can write as,

BG≈GF therfore, \(\frac{GF}{BG}\) = 1:1

\(\frac{GF}{BF}\)=\(\frac{4x+8}{34}\)

1/2=\(\frac{4x+8}{34}\)

8x+16=34

8x= 18

x=9/4

if x=9/4 then,

GH= 7x+6 = 7(9/4)+6 =63/4+6 =\(\frac{63+24}{4}\) = 21.75

What is similarity of sides?

similarity of sides refers to the property of two geometric shapes or figures having the same shape but not necessarily the same size. More specifically, two shapes are said to be similar if their corresponding angles are congruent and their corresponding sides are proportional in length.

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Answer:

the answer is 14

Step-by-step

multiply 2x7

There are 16 oz in a pound so it would be cheaper to purchase 1 pound for $3.75

Answer: switch the x and y values of the coordinates

(x, y) —> (y, x)

The fractional part of the integer is represented by the place value after the decimal. The number 0.56, for example, is made up of 5 tenths and 6 hundredths.

This can also be written as 0.56 = 0.5 + 0.06. In other words, it means, 0.56 = 5/10 + 6/100.

To add decimals, align the decimal points such that all the digits are aligned according to their place values. Add like you would full numbers, starting on the right and working your way to the left. In the sum, align the decimal point with the decimal points in the values being added.

Decimals are one of the forms of numbers in Algebra that have a whole integer and a fractional part separated by a decimal point. The decimal point is the dot that appears between the full number and the fractions section. 34.5, for example, is a decimal number.

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Answer:

Step-by-step explanation:

When each of the dimensions is multiplied by 1/3, the result is a rectangle that is ...

   (12 mm)·(1/3) by (15 mm)·(1/3) = 4 mm by 5 mm

The result is ...

  a smaller rectangle with length 4 millimeters and width 5 millimeters

__

The perimeter of the smaller rectangle has the same ratio to the original that the side lengths do.

The new perimeter will be 1/3 times the perimeter of the original rectangle.

The change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

For a known length and width of a rectangle, the expression for calculating the perimeter of a rectangle is 2(L × w).

From the given information:

A rectangle's length = 12 mm, and width = 15 mm

Therefore, we can deduce that the change in perimeter of the new rectangle will be 3 times the perimeter of the original rectangle.

This is because by using the scale factor:

\(\mathbf{\dfrac{1}{3}(12) \times \dfrac{1}{3}(15)}\)

We can get the value for the length and width of the new smaller rectangle as 4 mm and 5 mm respectively.

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