p: x – 5 =10 q: 4x + 1 = 61 Which is the inverse of p → q?
a- If x – 5 ≠ 10, then 4x + 1 ≠ 61.
b- If 4x + 1 ≠ 61, then x – 5 ≠ 10.
c-If x – 5 = 10, then 4x + 1 = 61.
d- If 4x + 1 = 61, then x – 5 = 10.

The expression solved for z is:

z = (4/3)*(y + w)

Here we have the expression:

y + w - 3/4z = 0

And we want to solve it for z, which means that we need to isolate z on one side of the expression.

If we add (3/4)z in both sides we get:

y + w = (3/4)z

Now if we multiply both sides by (4/3).

(4/3)*(y + w) = (4/4)*(3/4)z = z

Then we got:

z = (4/3)*(y + w).

Thus, the expression is solved for z.

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To solve this question:

Doing this, we get that: [tex]c = -\frac{35}{4}[/tex]

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]

[tex]\Delta = b^{2} - 4ac[/tex]

x²+x+c=0

Comparing with the standard second order equation, which is:

[tex]ax^2 + bx + c = 0[/tex]

We get that:

[tex]a = 1, b = 1[/tex]

Finding the roots:

[tex]\Delta = b^{2} - 4ac = 1^2 - 4(1)(c) = 1 - 4c[/tex]

[tex]x_{1} = \frac{-1 + \sqrt{1 - 4c}}{2}[/tex]

[tex]x_{2} = \frac{-1 - \sqrt{1 - 4c}}{2}[/tex]

Difference of 6

Thus:

[tex]x_1 - x_2 = 6[/tex]

[tex]\frac{-1 + \sqrt{1 - 4c}}{2} - \frac{-1 - \sqrt{1 - 4c}}{2} = 6[/tex]

[tex]-\frac{1}{2} + \frac{\sqrt{1 - 4c}}{2} + \frac{1}{2} + \frac{\sqrt{1 - 4c}}{2} = 6[/tex]

[tex]\frac{2\sqrt{1 - 4c}}{2} = 6[/tex]

[tex]\sqrt{1 - 4c} = 6[/tex]

[tex](\sqrt{1 - 4c})^2 = 6^2[/tex]

[tex]1 - 4c = 36[/tex]

[tex]-4c = 35[/tex]

[tex]4c = -35[/tex]

[tex]c = -\frac{35}{4}[/tex]

Thus, [tex]c = -\frac{35}{4}[/tex] is the value.

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An equation in slope intercept form, passes through (-1,-10), parallel to y=7 is y = -10 .

The slope of a line is defined as the change in y coordinate with respect to the change in x coordinate of that line. The slope of a line is the measure of the steepness and the direction of the line.  

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

According to the question

An equation in slope intercept form,

passes through (-1,-10), parallel to y = 7

now,

When line is y = 7

that means , x = 0

and it is also a horizontal line , i.e slope (m) = 0

As, Parallel lines have same slope .

By using slope intercept formula for  (-1,-10)

y = mx + b

substituting the value

-10 = 0 + b

b = -10

Therefore, putting values in general equation of slope intercept for any point

y = mx + b

y = -10  

Hence, an equation in slope intercept form, passes through (-1,-10), parallel to y=7 is y = -10 .

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Ratio of red apples to all apples in the basket is 9:14 and  ratio of red apples to green apples 9:5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

The number of apples are in basket =14

The number of green apples in basket = 5

The number of red apples are 14-5=9

As we know that 5 in 14 apples are green and remaining apples red.

So the red apples = 14-5=9

the ratio of red apples to all apples in the basket is 9:14

the ratio of red apples to green apples 9:5

Hence ratio of red apples to all apples in the basket is 9:14 and  ratio of red apples to green apples 9:5

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The probability of drawing a diamond will be 1/4.

What is mean by Probability?

The term probability refers to the likelihood of an event occurring.

Given that;

An experiment consists of drawing 1 card from a standard​ 52-card deck.

Now,

Since, There are 13 diamond in 52 card deck.

So, The probability of drawing a diamond = 13 / 52

                                                                = 1 / 4

Thus, The probability of drawing a diamond will be 1/4.

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Answer:

A.)

Step-by-step explanation:

PLATO

Yeah, manganese has the symbol of MN be sure to capitalize

A)

S = Strawberry wafer packets

c = chocolate wafer packets

s +c = 22

3.00s +1.00c = 30.00

B)

 s + c = 22

s = 22-c

3.00(22-c) + 1.00c = 30.00

66.00 - 3.00c +1.00c = 30.00

66.00 -2.00c =30.00

-2.00c = -36.00

c = -36.00 / -2.00 = 18

 18 packets of chocolate wafers

4 packets of strawberry wafers

Answer:

21,21,22,23,25,25,25,27

Step-by-step explanation:

2nd option in the drop-down box

Final answer:

Leila's total pay after working a certain number of hours is found by the equation p = 9h, where p represents the total pay and h represents the hours worked.

Explanation:

Leila's total pay p after working h hours at a rate of $9 per hour can be represented by the equation p = 9h. This equation indicates that for every hour Leila works, she earns $9. Therefore, to find her total pay, you would multiply the number of hours she has worked (h) by her hourly wage ($9).

A bag of baby carrots can weigh 2929.54 ounces to be​ not repackaged.

To find the weight threshold for bags of baby carrots that need repackaging, we need to find the weight value corresponding to the 95.5th percentile of the normal distribution. This corresponds to the value that separates the upper 4.5% of the distribution (since 100% - 4.5% = 95.5%).

We can use the z-score formula to find the z-score corresponding to the 95.5th percentile, and then use that z-score to find the corresponding weight value.

The z-score formula is:

z = [tex]\frac{x - \mu}{\sigma}[/tex]

where:

x - value we're interested in (weight threshold)

[tex]\mu[/tex] - mean of the distribution = 2929

σ - standard deviation of the distribution = 0.33

z - z-score corresponding to the percentile

First, let's find the z-score corresponding to the 95.5th percentile using a standard normal distribution table or a calculator. For a normal distribution, the z-score corresponding to the 95.5th percentile is approximately 1.645.

Now, we can rearrange the z-score formula to solve for x:

x = [tex]\mu[/tex] + z σ

Plugging in the values:

x = 2929 + 1.645 × 0.33

x = 2929 + 0.54285

x = 2929.54

Therefore, the most a bag of baby carrots can weigh and not need to be repackaged is approximately 2929.54 ounces.

The question is:

The weights of bags of baby carrots are normally​ distributed, with a mean of 2929 ounces and a standard deviation of 0.33 ounces. The bags in the upper​ 4.5% are too heavy and must be repackaged. What is the most a bag of baby carrots can weigh and not need to be​ repackaged?

The minimum of G(x) is -2 and of F(x) is 4 So, G(x) has the smallest minimum y-value.

The function G(x) is a sine function. The sine function, sin(x), has a range of -1 to 1. The minimum value of sin(x) is -1. Since G(x) = 2 sin(x - π), we multiply the minimum value of sin(x) by 2.

The minimum value of sin(x - π) is:

sin(x - π) = -1

Thus, the minimum value of G(x) is:

2 * (-1) = -2

To find the minimum value of a quadratic function, we use the vertex formula, x = -b / 2a. For F(x), a = 3, b = 12, and c = 16.

The x-coordinate of the vertex is:

x = -12 / (2 * 3) = -12 / 6 = -2

Substitute x = -2 into the function to find the minimum y-value:

F(-2) = 3(-2)² + 12(-2) + 16

F(-2) = 3(4) - 24 + 16 = 12 - 24 + 16 = 4

3 divided by 18.6 is 0.16129032258

Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.

Given expression,

3 divided by 18.6

To find the number :

We take division of 3 by 18.6.

3/18.6

= 0.16129032258

Therefore, the value is 0.16129032258

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The correct description is about graph of an odd function is;

''The graph is symmetric about the origin''.

Option D is true.

What is odd function?

The function is said to an odd function if it satisfy the condition;

⇒ f (-x) = - f (x)

Given that;

The function is an odd function.

Now,

Since, The odd function is rotate by the figure 180 degree then it will remains same.

So, The graph of an odd function is symmetric about the origin.

Thus, The correct description is about graph of an odd function is;

''The graph is symmetric about the origin''.

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Answer:

average rate of change in steel production over the eight days=-0.15 tons per day

Step-by-step explanation:

The production rate of a steel factory is declining due to old machinery. Over the last eight days production has dropped by 1.2 tons.

Production is dropped by 1.2 tons, so its negative

Average rate of change = Change in production / number of days

Average rate of change = -1.2/ 8= -0.15

combine all the like terms

 4x^3  + 2x^2

 then you have -6x-6x which = -12x and -10+4 = -6

 so it becomes 4x^3+2x^2-12x-6

 Answer is A

Without the necessary figures or context, we cannot make a correct comparison between segment lengths s and t. The question lacks clarity and detail, therefore the answer is that no comparison can be made.

The geometrical figures and the comparison of segment lengths within these figures. Given the Pythagorean theorem and the details about forces and lines, we have information that could pertain to geometry, specifically to properties of triangles and the comparison of segment lengths or areas. However, without the actual figures or a clear indication of the context involving s and t, we cannot provide an accurate comparison between them. This implies that the answer would be D. No comparison can be made.

It is possible that s and t are referring to the lengths of sides in a triangle, but this question, as presented, lacks the clarity and detail required to make a precise calculation or comparison. For example, in the case of two segments being hypotenuse and side of right triangles, if we knew the lengths of the other sides, we could apply the Pythagorean theorem to find the relationship between s and t. But without this information or a clear diagram, we cannot conclude anything about the relationship between s and t.

To find the y-value, m-value, and c-value needed for this problem, substitute x = 9 into the curve's equation, find the curve's derivative, and substitute these into the equation y = mx + c.

Since, the equation of the curve is not provided in the question. However, to answer such a problem, first, substitute x = 9 into the curve's equation to get the y-value. Then, find the derivative of the curve's equation to calculate the slope at x=9. This result is the value of m (slope) in the tangent line's equation. Lastly, you can substitute x = 9, y = y-value, and m = m-value into the line's equation y = mx + c to solve for the c (y-intercept).

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The hot water faucet cannot fill the tub on its own.

To find the time it takes for the hot water faucet to fill the tub on its own, we need to determine the time it takes for the cold water faucet and the hot water faucet together to fill the tub. Let's assign variables:

We can create the equation:

C + H = T

Substituting the known values and solving for H:

18 + H = 8

H = -10

Since a negative time doesn't make sense in this context, it means that the hot water faucet cannot fill the tub on its own. Therefore, the question is not solvable.

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