what is the physical reason the bottom of the dip is a horizaontal line rather than a point

Answer

$55

Step-by-step explanation:

Finance charge = Interest + Other costs

= $50 + 5

= $55

Answer:

42 hundreths

Step-by-step explanation:

i  hope this helps

Answer:

2

Step-by-step explanation:

2 x 2 x 2 = 8

The coordinates that represent the same point are: (3, 5π/4) and (-3, 3π/4); and (-3, 5π/2) and (-3, 3π/2). Explanation:We know that in the coordinate system, there is a point represented by (x,y) where x is the horizontal position and y is the vertical position.

Here in the question, we are given with some coordinates and we need to match the pairs that represent the same point. So, Let's check each pair given:(3, 5π/4) and (-3, 3π/4): Here, x coordinates are not same but we need to check whether they represent the same point or not. If we check the angles associated with each coordinate, we will notice that 5π/4 and 3π/4 are coterminal angles.

So, they both lie on the same position and thus represents the same point. Hence, this pair represents the same point.(-3, 5π/2) and (-3, 3π/2): Here, x coordinates are same, so they are representing the same point.

But we need to check whether y-coordinates also represents the same point or not. If we check the angles associated with each coordinate, we will notice that 5π/2 and 3π/2 are coterminal angles. So, they both lie on the same position and thus represents the same point. Hence, this pair represents the same point.

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Given the predicate t is defined as: t(x,y,z): (x y)2 = z To find out which proposition is true, we need to substitute the given values in place of x, y, and z for each option and check whether the given statement is true or not.

Option a: t(4, 1, 5)(4 1)² = 5⇒ (3)² = 5 is falseOption b: t(4, 1, 25)(4 1)² = 25⇒ (3)² = 25 is trueOption c: t(1, 1, 1)(1 1)² = 1⇒ (0)² = 1 is falseOption d: t(4, 0 2)(4 0)² = 2⇒ 0² = 2 is falseTherefore, the true proposition is t(4, 1, 25).

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Answer: There are eight.

Step-by-step explanation:  If you look closely, the middle match stick is not the reflection in the mirror, there is one, matchstick behind the lighter. One has to count them. So in total, there are eight matches.

so equation is

amount of sticks = 3n -2

n = the pictures number

24 - 2 = 22 sticks in the 8th picture

The results of the expressions involving logarithms are listed below:

Case 1: 1 / 2

Case 2:

Subcase a: 0

Subcase b: 11 / 2

Subcase c: - 11 / 2

In this problem we have a case of an expression involving logarithms that must be simplified and three cases of expressions involving logarithms that must be evaluated. Each case can be solved by means of the following logarithm properties:

㏒ₐ (b · c) = ㏒ₐ b + ㏒ₐ c

㏒ₐ (b / c) = ㏒ₐ b - ㏒ₐ c

㏒ₐ cᵇ = b · ㏒ₐ c

Now we proceed to determine the result of each case:

Case 1

㏒ ∛8 / ㏒ 4

(1 / 3) · ㏒ 8 / ㏒ 2²

(1 / 3) · ㏒ 2³ / (2 · ㏒ 2)

㏒ 2 / (2 · ㏒ 2)

1 / 2

Case 2:

Subcase a

㏒ [b / (100 · a · c)]

㏒ b - ㏒ (100 · a · c)

㏒ b - ㏒ 100 - ㏒ a - ㏒ c

3 - 2 - 2 + 1

0

Subcase b

㏒√[(a³ · b) / c²]

(1 / 2) · ㏒ [(a³ · b) / c²]

(1 / 2) · ㏒ (a³ · b) - (1 / 2) · ㏒ c²

(1 / 2) · ㏒ a³ + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · ㏒ a + (1 / 2) · ㏒ b - ㏒ c

(3 / 2) · 2 + (1 / 2) · 3 + 1

3 + 3 / 2 + 1

11 / 2

Subcase c

㏒ [(2 · a · √b) / (5 · c)]⁻¹

- ㏒ [(2 · a · √b) / (5 · c)]

- ㏒ (2 · a · √b) + ㏒ (5 · c)

- ㏒ 2 - ㏒ a - ㏒ √b + ㏒ 5 + ㏒ c

- ㏒ (2 · 5) - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- ㏒ 10 - ㏒ a - (1 / 2) · ㏒ b + ㏒ c

- 1 - 2 - (1 / 2) · 3 - 1

- 4 - 3 / 2

- 11 / 2

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Answer:

Let the sum be x.

Using formula,

I=

100

PRT

​

=

100

x×

12

15

​

×

2

15

​

​

−

100

x×

12

8

​

×

2

25

​

​

=32.50

⇒

2400

25x

​

=32.50

⇒x=

25

32.50×2400

​

=3120

∴ Required sum =Rs.3120

Step-by-step explanation:

Answer:

9.5

Step-by-step explanation:

4.6+4.9= 9.5

Answer:

D: 40 degrees

Step-by-step explanation:

if the arc going from B to A to C is 320 degrees then 40 degrees is added to that to make 360 degrees so it is 40.

The derivative of the given function f(t) = (5t^2 - 31)/(3t + 8) is f'(t) = (30t^2 + 248t + 93)/(3t + 8)^2.

The quotient rule is a formula used to find the derivative of a function that is the quotient of two other functions. In calculus, the derivative of a function measures how much the function changes as its input changes.

To find the derivative of f(t) using the quotient rule, we use the formula:

f'(t) = [(denominator)(numerator)' - (numerator)(denominator)']/(denominator)^2

where numerator' denotes the derivative of the numerator.

Using this formula, we get:

f'(t) = [(3t + 8)(10t) - (5t^2 - 31)(3)]/(3t + 8)^2

Simplifying this expression, we get:

f'(t) = (30t^2 + 248t + 93)/(3t + 8)^2

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Answer:

Step-by-step explanation:

it mean to figure out what number you had before the % took some of the number away

m∠F = 140º

1) Since that trapezoid is a quadrilateral, then we can affirm that the Sum of their interior angles is:

Note that "n" refers to the number of sides:

Notice also that angle H is a right angle since this is not an Isosceles Trapezoid

So we can write out the following

9x +14x +4x + 90 = 360º

27x = 360 -90

27x = 270

x =10

Alternatively, angles between parallel lines are supplementary

2) To find out the measure of angle ∠F We'll need to plug x=10 into that expression:

m∠F = 14x

m∠F = 140º

Answer:

BOTH SIDES ARE 12

Step-by-step explanation:

Answer:

x and y is equal to 33° as x and y are the equal angles of the isosceles triangle given in the figure.

The point that is located at the ordered pair (4, -2) is given as follows:

Point B.

The general format of an ordered pair is given as follows:

(x,y).

In which the coordinates are given as follows:

On the coordinate plane, we have that:

Hence the coordinates for this problem are given as follows:

A(-2, 4), B(4, -2), C(-4, 2) and D(2, -4).

The graph is given by the image presented at the end of the answer.

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Answer: $7.65 for a dozen/12

Step-by-step explanation: 2.55 x 3

Work Shown:

45.40 - 40 = 5.40

She made $5.40 in profit. Divide this over the original price to find the percentage profit

(5.40)/(40) = 0.135 = 13.5%

Therefore , the solution of the given problem of standard deviation comes out to be the CEO is informed that the mean scores for Cities A and B are identical.

Variance is a measure of difference used in statistics. The typical variance here between dataset and the mean is calculated using the multiplier of that figure. By comparing each figure to the mean, it incorporates those data points into its calculations, unlike other measurable measures of variability. Variations may result from internal or external factors and may include unintentional errors, inflated expectations, and changing economic or commercial circumstances.

Here,

It is clear that both offices share a comparable average score from the sentence "The CEO is informed that both City A or City B have the same mean score."

If City A is more reliable than City B, then City A will have a lower standard deviation.

A collection of data's variability or dispersion is measured by the standard deviation. The closer the data points are to the mean, the lower the standard deviation, and the less variable the data are.

So, the appropriate answer is:

The CEO is informed that the mean scores for Cities A and B are identical. However, due to the fact that City A's standard deviation is lower than City B's, City A is more reliable than City B.

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Answer:

(-14)+(-8)

Step-by-step explanation:

Answer:

The value of x is 4, and the measure of the four angles are 100°, 80°, 100°, 80°.

Step-by-step explanation:

There is a rule that states the following: when two lines intersect, the verticle/opposite angles formed will have the same degree measure. Using this rule, we can infer that \(30x-20=10x+60\). To solve for x, isolate the variable all on one side of the equation. \(30x-10x = 60 + 20\) ⇒ \(20x = 80\) ⇒ \(x=4\). Since we now know the value of x, you can use that to figure out a pair of verticle angles, apply the value of x to any equation and you'll get that two of the four angles are all 100°. Since the rotation of a full circle is 360°, you can get that the sum of the remaining two angles is 360° - 100° * 2 = 360° - 200° = 160°. Because we know the remaining pair of verticle angles are equal, we can get that each of the remaining angles is equal to \(\frac{160}{2}\) or 80°, so the measure of all four angles are 100°, 80°, 100°, 80°.

To determine how long it will take the Baxter boys to prepare 131 papers, we can use the concept of rate and proportion.

It will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers. Given that the Baxter boys can prepare 35 papers in 3 minutes, we can set up a proportion to solve for the time it will take to prepare 131 papers.
First, let's set up the proportion using the information given about the rate of working:
35 papers / 3 minutes = 131 papers / x minutes
To solve for x, we can cross-multiply and then divide:
35 * x = 3 * 131
35x = 393
x = 393 / 35
x ≈ 11.229
Therefore, it will take approximately 11 minutes and 14 seconds (to the nearest minute) for the Baxter boys to prepare 131 papers.

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3/4 feet

You can set this up as an equation and solve

\(5\frac{2}{3}-4\frac{11}{12} =5\frac{8}{12} -4\frac{11}{12} =4\frac{20}{12} -4\frac{11}{12}=\frac{9}{12} =\frac{3}{4}\)

Answer:

To find the volume of a rectangular prism, we multiply the length of the prism by the width of the prism by the height of the prism.

\text{Volume of rectangular prism}=Volume of rectangular prism=start text, V, o, l, u, m, e, space, o, f, space, r, e, c, t, a, n, g, u, l, a, r, space, p, r, i, s, m, end text, equals \text{length}\times\text{width}\times\text{height}length×width×heightstart text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text

Want to learn more about finding volume of rectangular prisms?

Volume=length×width×heightstart text, V, o, l, u, m, e, end text, equals, start text, l, e, n, g, t, h, end text, times, start text, w, i, d, t, h, end text, times, start text, h, e, i, g, h, t, end text

\phantom{\text{Volume}}=3\times2\times3Volume=3×2×3empty space, equals, 3, times, 2, times, 3

\phantom{\text{Volume}}=18\text{ cubic units}Volume=18 cubic units

If the height of a rectangular prism is not given, divide the prism's volume by it's width and also divide it by it's length in order to find the height of the prism. For example:

Volume=30

Length=5

Width=3

Height=?

30/5=6, 6/3=2 so 2 equals your height.

Hope that helps.

The correlation coefficient (r) measures the strength and direction of the linear relationship between two variables. The value of r ranges from -1 to +1, where a value of -1 indicates a perfect negative correlation, +1 indicates a perfect positive correlation, and 0 indicates no correlation.

The correlation coefficient's sign will not change when the order of the variables in a correlation study is changed, but the coefficient's numerical value might. This is due to the symmetry of the correlation coefficient with regard to the two variables under comparison.

For instance, if you calculate the correlation coefficient between X and Y and the result is r = 0.7, it indicates that Y tends to rise as X does. The correlation coefficient between the variables Y and X will have the same sign (+ or -) but a different numerical value if the variables are computed in a different order.

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Answer:

Step-by-step explanation:

If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations (which we have, thankfully!) and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is

\(2\pi\int\limits^2_0 {p(y)h(y)} \, dy\)

where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).

p(y) is the distance from y = 2 to the solid, so p(y) = 2 - y

h(y) is the length of the representative rectangle, so h(y) = 8

and filling in the formula:

\(2\pi\int\limits^2_0 {(2-y)(8)} \, dy\) and simplifying a bit:

\(2\pi\int\limits^2_0 {16-8y} \, dy\)

Integrating we get

\(2\pi[16y-4y^2]\) from 2 to 0. Using the First Fundamental Theorem of Calculus:

\(2\pi[(32-16)-(0)]\) simplifies to

\(2\pi(16)\) which is, finally,

\(V=32 \pi\)

In this exercise we have to use the fundamental calculus theorem to calculate the volume of a rotating cylinder, thus we find that:

\(V=32\pi\)

If you were to graph this on a coordinate plane, it looks like a log function. It starts at (0, 0) and ends, according to the boundaries given, at x = 8. Because we are to solve for the volume using the shell method, we need x = y equations  and y intervals. The y-interval is given to us within the problem as 0≤y≤2. If we are to revolve this solid about the line y = 2, the line of rotation is above the solid, so we have to go backwards to get there. That's very important. The formula we need for shells is

\(2\pi \int\limits^2_0 {p(y)h(y)} \, dy\)

Where p(y) is the distance between the axis of rotation and the solid, and h(y) is the height of the representative rectangle. Since we are using the shell method, the representative rectangle is parallel to the axis of rotation, so it is 8 units long (or high).

and filling in the formula:

\(2\pi \int\limits^2_0 {16-8y} \, dy\)

Integrating we get;

\(2\pi [ 16y-4y^2]\)

Using the First Fundamental Theorem of Calculus:

\(2\pi [ (32-16)-(0)]\)

\(2\pi (16) \\V=32\pi\)

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Answer:

A) 2a + 4c = 38.00

B) 3a + 3c = 40.50

We multiply A) by -1.5

A) -3a -6c = -57 then we add B)

B) 3a + 3c = 40.50

-3c = -16.50

c = 5.50

a = 8.00

Step-by-step explanation:

Answer: 56

Step-by-step explanation:

Given that :

Marbles in bag are only red and blue ;

Probability of randomly choosing a red = 2/7

Number of red marbles in bag = 16

The total Number of marbles =?

P(choosing a red marble) = required outcome / Total possible outcomes

Required outcome = number of red marbles

Total possible outcomes = total number of blue and red marbles

Total number of blue and red marbles = x

P(choosing a red marble) = required outcome / Total possible outcomes

2/7 = 16 / x

Cross multiply

2x = 16 * 7

2x = 112

x = 112 / 2

x = 56 marbles

Total number of marbles = 56

Answer:

The Zero Product Property basically means that is ab=0 , then either a=0 or b=0. (Or even both). A product of factors is zero if and only if one or more of the factors is zero.

Example:  (2x-1 ) (x +4) = 0

Step-by-step explanation:

Answer:

x=9

Step-by-step explanation:

Simplify  7+3x−67+3x−6  to  3x+13x+1.

Subtract 11 from both sides

Simplify  2x+10−12x+10−1  to  2x+92x+9.

Subtract 2x2x from both sides.

Simplify  3x−2x3x−2x  to  xx.

Answer: x=9

Step-by-step explanation:

7+3(x-2)=2x+10

7+3x-6=2x+10

1+3x=2x+10

1+3x-2x=2x-2x+10

1+1x=10

1x=9

x=9