Jeremy says the sum of two numbers can never be negative. Explain why Jeremy’s reasoning is incorrect.

we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs?  well, just 76% of those 350

\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)

Let's start graphing the first inequality y > 3x - 4. Since this is already in its slope-intercept form, we can see right away that the y-intercept of its boundary line is at (0, -4) and the slope is 3.

Aside from the y-intercept, let's find another point on the line using the slope. We will add 3 on the y-coordinate of the y-intercept and add 1 on the x-coordinate.

Hence, we have another point on the boundary line at (1, -1).

Let's plot these two points (0, -4) and (1, -1) and connect them using a dashed line since the inequality is "greater than". Also, the shade of the graph will be above the line.

The graph of the first inequality y > 3x - 4 is:

Moving on to the second inequality y ≤ x + 1, the y-intercept is at (0, 1) and the slope is 1.

Let's find another point on the line using the slope by adding 1 on the y-coordinate of the y-intercept and 1 on the x-coordinate.

Therefore, we have another point on the line at (1, 2).

Let's plot these points (0, 1) and (1, 2) on the graph. Connect them using a solid line because the inequality symbol has "or equal to". The shade of the graph will be below the line since the inequality symbol is "less than".

The graph of the second inequality y ≤ x + 1 is:

Combining the two graphs, we have:

The solution to the two inequalities would be the common shaded region, hence, in the diagram, it will be the darker shade.

Based on the given choices, this is shown by Option D.

Answer:

4/6

Step-by-step explanation:

The probability of getting an odd number or a 4 is,

⇒ P = 1/2

We have to given that,

Roll one die for the probability of getting an odd number or a 4.

Now, We know that,

Total outcomes are,

⇒ 1, 2, 3, 4, 5, 6

Hence, Odd numbers are,

⇒ 3, 5

So, The probability of getting an odd number is,

⇒ 2 / 6

⇒ 1 / 3

And, The probability of getting 4 is,

⇒ 1 / 6

Thus, the probability of getting an odd number or a 4 is,

⇒ P = 2/6 + 1/6

⇒ P = 3/6

⇒ P = 1/2

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Answer:

  58 in²

Step-by-step explanation:

A horizontal line across the wide part of the pentagon will divide it into an upper triangle and a lower trapezoid. To find the area of the figure, you can use the formula for the area of a triangle (twice) and the formula for the area of a trapezoid.

  A = 1/2bh . . . . area of triangle with base b and height h

  A = 1/2(b1 +b2)h . . . . area of trapezoid with bases b1, b2, and height h

top triangle

The base is 6 in, the height is (8 -5) = 3 in. Its area is ...

  A = 1/2(6 in)(3 in) = 9 in²

middle trapezoid

The bases are 4 in and 6 in, and the height is 5 in. Its area is ...

  A = 1/2(4 in + 6 in)(5 in) = 25 in²

bottom triangle

The base is 8 in, and the height is 6 in. Its area is ...

  A = 1/2(8 in)(6 in) = 24 in²

Then the area of the figure is ...

  top triangle + trapezoid + bottom triangle

  = 9 in² +25 in² +24 in² = 58 in² . . . . area of the figure

We will prove the statement  \(n^n / 3^n < n!\)for n ≥ 6 by induction. The base case is n = 6, and we will assume the inequality holds for some k ≥ 6. Using the induction hypothesis, we will show that it also holds for k + 1. Thus, proving the statement for n ≥ 6.

Base case: For n = 6, we have 6⁶ / 3⁶ = 46656 / 729 ≈ 64. As 6! = 720, we can see that the statement holds for n = 6.

Inductive step: Assume that the inequality holds for some k ≥ 6, i.e.,

\(k^k / 3^k < k!.\) We need to show that it holds for k + 1 as well.

Starting with the left side of the inequality:

\((k + 1)^{k + 1} / 3^{k + 1} = (k + 1) * (k + 1)^k / 3 * 3^k\)

\(= (k + 1) * (k^k / 3^k) * (k + 1) / 3\)

Since k ≥ 6, we know that (k + 1) / 3 < 1. Therefore, we can write:

\((k + 1) * (k^k / 3^k) * (k + 1) / 3 < (k + 1) * (k^k / 3^k) * 1\)

\(= (k + 1) * (k^k / 3^k)\)

< (k + 1) * k!

= (k + 1)!

Thus, we have shown that if the inequality holds for k, then it also holds for k + 1. By the principle of mathematical induction, the statement

\(n^n / 3^n < n!\) is proven for all n ≥ 6.

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The stadium's profit margin will be $490,000 if it signs both acts to one-week deals.

Since each major circus act will perform for seven consecutive days, the stadium will have a total of 14 performance days (7 days for each act). Each performance provides a profit margin of $35,000 for the stadium. To calculate the stadium's profit margin if it signs both acts, we need to multiply the profit margin per performance by the total number of performances.

Profit per performance = $35,000

Total number of performances = 14 (7 days for each act)

To find the stadium's profit margin, we multiply the profit per performance by the total number of performances:

Profit margin = $35,000 * 14 = $490,000

Therefore, the stadium's profit margin will be $490,000 if it signs both acts to one-week deals. The correct answer is option C: $490,000.

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The car's speed after the given amout of time is 19.8 m/s²

The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. They are vector quantities, accelerations. The direction of the net force acting on an object determines the direction of its acceleration. A point or object going straight ahead is accelerated when it accelerates or decelerates. Any alteration in an object's velocity could take the form of a change in direction of motion or a speed increase or reduction. The moon orbiting the earth, an apple falling to the ground, and a car stopped at a stop sign are a few instances of acceleration.

Average Acceleration =Change in Velocity/ Time Taken

So Change in Velocity is 10-x m/s

Time taken is 7.25 s

Given accelaration 4.11 m/s²

Putting the values we get,

4.11 = (10-x)/7.25

⇒29.8 = 10-x

⇒x=19.8 m/s²

​

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Answer:

Domain:  all real numbers

Step-by-step explanation:

The domain is the values that x can take

X can be any real number

Domain:  all real numbers

Answer:

I belive it would be C but do not hold me up on that

Step-by-step explanation:

EDIT: THIS ANSWER IS NOT CORRECT, GO LOOK AT JET200

Answer:

(A) Even

Step-by-step explanation:

We can try out 3 cases here:

1. M and N are even

2. M and N are odd

3. M is even and N is odd

For case 1, we can try 2 and 4 - 6*8=48

For case 2, we can try 1 and 3 - 3*4=12

For case 3, we can try 1 and 4 - 5*4=20

All of our answers are even, and if you keep the parity the same, but input different values for M and N for all cases, we are just adding 2, and thus, keeping the equation the same. Thus, our answer is A.

Answer:

6

Step-by-step explanation:

4\(\frac{4}{5}\) ÷ \(\frac{4}{5}\)

= \(\frac{24}{5}\) ÷ \(\frac{4}{5}\)

= \(\frac{24}{5}\) * \(\frac{5}{4}\)

= \(\frac{120}{20}\)

= 6

Answer:

D because it costs less for 7 hours

Answer:

The company that would give you the best deal would be Company D.

Step-by-step explanation:

Company A:

First you set up as an equation.

y=25x+50

I used 25x because 25 represents the hourly rate and x represents the hour it increases.

y=25(7)+50

We have to substitute 7 in for x because it says "If you had planned for 7 hours".

Multiply 25 and 7. You should get 175.

y=175+50

Add 175 and 50. You should get 225.

y=225.

You do the same thing for the rest of the problems.

Company B:

y=30x+40

y=30(7)+40

y=210+40

y=250

Company C:

y=20x+60

y=20(7)+60

y=140+60

y=200

Company D:

y=5x+150

y=5(7)+150

y=35+150

y=180

The company that would give you the best deal would be Company D.

Answer:

50j

Step-by-step explanation:

workdone = force x distance

workdone = 20x2.5

50j

Answer:

What equation?

Answer:

Also doubles

Step-by-step explanation:

Hope this helps. Have a nice day you amazing bean child.

The constant of proportionality is 2.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

We have [y] varies directly with [x] and y doubles then x.

The general equation of a straight line can also be used to represent proportional relationship when [c] = 0.

y = mx + c

y = mx + 0

y = mx

m = y/x

where [m] is constant of proportionality.

A/C to question -

y = 2x

Here, the constant of proportionality is 2.

Therefore, the constant of proportionality is 2.

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Answer:

1. (1/4 x 5/4 x 5/4) = 25/64

2. (2/4 x 2/4 x 6/4) = 3/8

3. (1/4 x 1/4 x 4/2) 1/8

Step-by-step explanation:

Thank me later.

Answer:  

Step-by-step explanation:

a)  Two lines are parallel and KN is transversal.

So, alternate interior angles are equal.

∠LNM =∠JKL

6x + 1 = 25

Subtract 1 from both sides.

6x + 1 - 1 = 25 -1

6x = 24

Divide both sides by 6

6x/6 = 24/6

x = 4°

b) ∠LMN = 3x +11

             = 3*4 + 11

              = 12 + 11

∠LMN = 23°

c)  ∠KJL = ∠LMN    {Alternate interior angles are equal, transversal JM}

∠KJL = 23°

In ΔKLJ,

∠JKL + ∠KLM + ∠LJK = 180°

25 + ∠KLM + 23 = 180

∠KLM + 48 = 180

∠KLM = 180 - 48

∠KLM = 132°

d) In ΔJKL & ΔLMN

∠J = ∠M

∠K=∠N

∠NLM = ∠KLJ     {Vertically opposite angles.

ΔKJL & ΔLMN  are similar triangles

Answer:

Not sure about the first one, but the second one in inches and the third one is liters

Answer:

what are the options so can help?

Answer:

1

Step-by-step explanation:

3 cans for 3 cats 1 can for 1 cat

The length of parking lot in drawing will be 285 centimeters.

We are given the ratio of measurement in drawing to the measurement in real. In the ratio, 5 centimeters represents measurement in drawing and 2 meters represent drawing in real. Further, let the length of parking lot in real life be x centimeters.

Representing the mentioned information in ratio and proportion form - 5÷2=x÷114

Now performing cross multiplication of mentioned ratio and proportion to find the value of x.

2 × x = 5 × 114

Performing multiplication on Right Hand Side of the equation

2  × x = 570

Shifting 2 to denominator on Right Hand Side of the equation

x = 570÷2

Performing division on Right Hand Side of the equation

x = 285 centimeters.

Hence, the length of parking lot in drawing will be 285 centimeters.

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The maximum possible number of handshakes at the party can be calculated using the formula n(n-1)/2, where n is the number of people attending. This formula is derived from the fact that each person can shake hands with every other person except themselves.

Let's assume that there are n people attending the party. In order to maximize the number of handshakes, we want each person to shake hands with every other person except themselves.

Now, let's consider the first person. They can shake hands with (n-1) other people, as they cannot shake hands with themselves. Similarly, the second person can shake hands with (n-1) other people, but they have already shaken hands with the first person, so they can only shake hands with (n-1)-1 = (n-2) remaining people.

Following this pattern, the third person can shake hands with (n-1)-2 = (n-3) people, the fourth person can shake hands with (n-1)-3 = (n-4) people, and so on. The last person, the nth person, can shake hands with (n-1)-(n-2) = 1 person.

By summing up the number of handshakes for each person, we get (n-1) + (n-2) + (n-3) + ... + 1, which is the sum of the first (n-1) natural numbers. This sum can be calculated using the formula n(n-1)/2.

Therefore, the maximum possible number of handshakes at the party is n(n-1)/2.

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Answer:

Step-by-step explanation:

The central angle <HEG = 88 degrees as well -- same as the arc you were given.

<HFG = 44 degrees because the angle sits on the circumference opposite the central angle.

That means that

8x - 40 = 44                  Add 40 to both sides

8x = 44+40                  Combine

8x =  84                        Divide by 8

8x/8 = 84/8

x = 10.5

The volume of the solid obtained by rotating the region bounded by y = z², y = 0, and z = 3 about the y-axis is approximately 84.78 cubic units.

To find the volume of the solid obtained by rotating the region bounded by the given curves about the y-axis, we can use the method of cylindrical shells. The region bounded by y = z², y = 0, and z = 3 forms a solid when rotated.We consider an infinitesimally small strip of width dy along the y-axis. The height of this strip is given by the difference between the upper and lower boundaries, which is z = 3 - √y².The circumference of the cylindrical shell at height y is given by 2πy, and the thickness of the shell is dy. Thus, the volume of each cylindrical shell is given by 2πy(3 - √y²)dy.

To find the total volume, we integrate the expression for the volume of the cylindrical shells over the range of y from 0 to 3:Volume = ∫[0,3] 2πy(3 - √y²)dy.Evaluating this integral, we find that the volume is approximately 84.78 cubic units.Therefore, the volume of the solid obtained by rotating the region bounded by y = z², y = 0, and z = 3 about the y-axis is approximately 84.78 cubic units.

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Answer:

21

Step-by-step explanation:

CANT SEE THEM

Answer:

25 chapter books

Step-by-step explanation:

117 - (23×4)

[23×4=92]

.°. 117 - 92 = 25

Step-by-step explanation:

Total Shelf Capacity = Capacity per shelf x Number of Shelves

= 23 x 4

= 92

Number of new books to be fit in = 117

Amount of books Overflow = Number of books to be fit in - Total Shelf Capacity

= 117 - 92

= 25

Answer:

\(2p^2\)

Step-by-step explanation:

Step 1: Apply the exponentiation property:

\((8p^6)^\frac{1}{3} = 8^\frac{1}{3} * (p^6)^\frac{1}{3}\)

Step 2: Simplify the cube root of 8:

The cube root of 8 is 2:

\(8^\frac{1}{3} =2\)

Step 3: Simplify the cube root of \((p^6)\):

The cube root of \((p^6)\) is \(p^\frac{6}{3} =p^2\)

Step 4: Combine the simplified terms:

\(2 * p^2\)

So, the simplified expression is \(2p^2\).

Answer:

12.5h

Step-by-step explanation:

add all of the hours up

since h is the pay and unknown place h after the hours

35/35-14/35=21/35=0.6=60%

Solution:

Given:

Two boxes - large and small

Generate the system of equations from the statements given:

Solving both equations simultaneously;

Substitute l into equation (3) to get s

Therefore,

Large box: 50 pounds

Small box: 35 pounds