5) 13 candy bars weigh 26 ounces. What is the weight of 35 candy bars?

The converse of the statement "If a figure is a square, its diagonals divide it into isosceles triangles" would be:

"If a figure's diagonals divide it into isosceles triangles, then the figure is a square."

The converse statement is not necessarily true. While it is true that in a square, the diagonals divide it into isosceles triangles, the converse does not hold. There are other shapes, such as rectangles and rhombuses, whose diagonals also divide them into isosceles triangles, but they are not squares. Therefore, the converse of the statement is not always true.

Therefore, the converse of the given statement is not true. The existence of diagonals dividing a figure into isosceles triangles does not guarantee that the figure is a square. It is possible for other shapes to exhibit this property as well.

In conclusion, the converse statement does not hold for all figures. It is important to note that the converse of a true statement is not always true, and separate analysis is required to determine the validity of the converse in specific cases.

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Answer:

f(9)= 141

Step-by-step explanation:

f(x)=-\(x^{2}\)+5x+15

When dividing the polynomial \(2x^4 - 4x^3 - 7x^2 - 10x + 14\)by the polynomial x + 2, the quotient is 2x^3 - 8x^2 + 6x - 22 and the remainder is 58.

To perform polynomial division, we follow a similar process to long division. We start by dividing the highest degree term of the dividend by the highest degree term of the divisor. In this case, we divide \(2x^4\) by x, resulting in \(2x^3\). We then multiply the divisor (x + 2) by this result \((2x^3)\), giving us \(2x^4 + 4x^3.\) Next, we subtract this product from the dividend \((2x^4 - 4x^3),\)which leaves us with\(-8x^3 - 7x^2 - 10x + 14\).
We repeat the process by dividing the highest degree term of the remaining polynomial (-8x^3) by the highest degree term of the divisor (x). This yields -8x^2. Multiplying the divisor by this result (-8x^2) gives us -\(8x^3 - 16x^2.\)Subtracting this product from the remaining polynomial results  in \(9x^2 - 10x + 14.\)
We continue the process until we have no more terms to divide. After dividing 9x^2 by x, we obtain 9x. Multiplying the divisor by this result (9x) gives us 9x^2 + 18x. Subtracting this from the remaining polynomial \((9x^2 - 10x + 14)\)leaves us with -28x + 14.
Since the degree of the remaining polynomial (-28x + 14) is less than the degree of the divisor (x + 2), we have reached the end of the division process. The quotient is \(2x^3 - 8x^2 + 6x - 22, and the remainder is 58.\)

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The multiples of 5/4 will be 2 1/2, 3 3/4, 5, etc.

It should be noted that multiples simply mean the answer that one gets when the number of multiplied by any whole number.

Therefore, the multiples will be:

= 5/4 × 2 = 2 1/2

= 5/4 × 3 = 3 3/4

= 5/4 × 4 = 5

Therefore, the multiples of 5/4 will be 2 1/2, 3 3/4, 5, etc.

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Answer:

i think its a

Step-by-step explanation:

Answer:

Step-by-step explanation:

400 + 0.03x > 700

Answer:

A

Step-by-step explanation:

14 is not greater than 15

Answer:

Using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

What is the right rectangular prism?

The right rectangular prism has four rectangle-shaped side faces and two parallel end faces that are perpendicular to each of the bases.

Parallelograms make up the sides of an oblique prism, a non-right rectangular prism.

A cuboid is yet another name for a right rectangle prism.

So, the volume of the right rectangular prism:

V = wlh

Insert values:

V = wlh

V = 6*8*4.5

V = 216cm³

Now, the volume of the cube:

V = a³

V = 2³

V = 8cm³

Then, the number of cubes that can be fitted in the right rectangular prism:

216/8 = 27

Therefore, using the volume formula we know that (B) 27 cubes can be fitted into the right rectangular prism.

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Correct question:

How many cubes, with side measures of 2 cm, will fit inside a right rectangular prism with dimensions of 6 cm by 8 cm by 4 1/2 cm?

Group of answer choices

a. 24

b. 27

c. 108

d. 54

The final answer is 27

To determine how many cubes will fit inside the right rectangular prism, we need to find the volume of the prism and the volume of the cubes, then divide the volume of the prism by the volume of the cubes.

Volume of a cube (V_cube) = side^3
V_cube = 2 cm * 2 cm * 2 cm = 8 cubic cm

Volume of the right rectangular prism (V_prism) = length * width * height
V_prism = 6 cm * 8 cm * 4.5 cm = 216 cubic cm

Now, divide the volume of the prism by the volume of the cubes:
Number of cubes = V_prism / V_cube = 216 cubic cm / 8 cubic cm = 27 cubes

Therefore, 27 cubes with side measures of 2 cm will fit inside the right rectangular prism.

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The differentials of the given functions are:

dy/dt = (1/2)√(3t) sec^2(√(3t)) dt

dy/dv = -v/2 + v

To find the differential of the function y = tan(sqrt(3t)), we can use the chain rule. Let u = sqrt(3t). Applying the chain rule, we have dy/dt = dy/du * du/dt.

First, we find dy/du by taking the derivative of tan(u), which is sec^2(u). Then, we find du/dt by taking the derivative of sqrt(3t), which is (1/2)√(3t). Multiplying these two derivatives together, we get dy/dt = (1/2)√(3t) sec^2(√(3t)) dt.

To find the differential of the function y = 4 - v^2/4 + v^2, we need to take the derivative with respect to v. The first term, 4, does not depend on v, so its derivative is 0.

For the second term, -(v^2/4), we use the power rule for differentiation. The derivative of v^2 is 2v, and dividing by 4 gives -(v/2).

For the third term, v^2, the derivative is 2v.

Combining these derivatives, we get dy/dv = -v/2 + v.

The differentials of the given functions have been calculated as dy/dt = (1/2)√(3t) sec^2(√(3t)) dt and dy/dv = -v/2 + v. These differentials represent the rate of change of the functions with respect to the respective variables.

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The differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))). The differential of y = 4 - v^2/4 + v^2 is dy/dv = 3v/2.

To find the differential of each function, we will differentiate them with respect to the independent variable.

Let's use the chain rule to differentiate this function.

Therefore, the differential of y = tan(sqrt(3t)) is dy/dt = (1/2)(3t)^(-1/2)(3)(sec^2(sqrt(3t))).

Let's differentiate this function using the power rule and the sum/difference rule for derivatives.

Therefore, the differential of y = 4 - v^2/4 + v^2 is dy/dv = 0 - v/2 + 2v = 3v/2.

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Answer:

565656÷8=p

So the answer is 637:D

Answer:

A. 72

B. 3

C. 135

Step-by-step explanation:

A. 12 x 6 = 72

B. 15 x 3 = 45 so Nina raise 3x more money than Sandra

C. 45 x 3 = 135

The maximum monthly profit Mt. Nittany is  $23,100 and, for Happy Valley Rentals,  monthly profits will be approximately $23,100.

(a) To find the number of apartments Mt. Nittany should rent out each month to maximize profits, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900.

The x-coordinate of the vertex is given by -b/2a, where a = -7 and b = 980. So, x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

(b) Similarly, for Happy Valley Rentals, we need to find the vertex of the quadratic function P(x) = -7x^2 + 980x - 10900 when they manage 50 apartments.

The x-coordinate of the vertex is again given by

b/2a, where a = -7 and b = 980, but now we have x = -b/2a = -980/(2*(-7)) ≈ 70.

The maximum monthly profit is obtained by plugging this value of x into P(x), giving P(70) = -7(70)^2 + 980(70) - 10900 ≈ $23,100.

Therefore, both companies should rent out 70 apartments each month to maximize their profits, and their maximum monthly profits will be approximately $23,100.

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The differential equation \(\frac{dy}{dx} = xy^{4}\) is considered and the solutions for the following questions are found.

What is a differential equation?

A differential equation is an equation that links the derivatives of one or more unknown functions. Differential equations contain derivatives, which might be either partial derivatives or ordinary derivatives.

The differential equation describes a relationship between the variable that is constantly varying with respect to the change in another quantity, and the derivative represents a rate of change.

Given,

    \(\frac{dy}{dx} = xy^{4}\)

a) Now finding \(\frac{d^{2} y}{dx^{2} }\) = \(y^{4} + 4xy^{3} \frac{dy}{dx}\) = \(y^{4} + 4xy^3 (xy^4) = y^4 + 4x^2y^7\)

In quadrant II, the values of x < 0 and the values of y >0.

So  \(\frac{d^{2} y}{dx^{2} }\) =  \(y^4 + 4x^2y^7\) > 0 for all values of x and y in quadrant II.

Therefore the concavity is up for of all solution curves of the given differential equation.

b)

         \(\frac{dy}{dx} = xy^{4}\\\\\frac{dy}{y^4} =x dx\\\\\int {\frac{dy}{y^4} } \, = \int {x} \, dx \\\\\frac{y^{-4+1} }{-4+1} = \frac{x^{2} }{2} + c\\\\\frac{y^{-3} }{-3} = \frac{x^{2} }{2} +c\)

      Now it is given that initial condition is f(4) = -1

   So substituting x =4 and y = -1 is the above equation to find c, we get

        \(\frac{-1^{-3} }{-3} = \frac{4^2}{2} +c \\\\\frac{1}{3} = 8 + c\\\\c = \frac{1}{3} - 8 = \frac{-23}{8}\)

Therefore the solution y = f(x) is to the given differential equation with initial condition f(4)=−1.

  \(\frac{y^{-3} }{-3} = \frac{x^{2} }{2} -\frac{23}{8}\\ \\ \frac{1}{3y^3} = \frac{46 - 8x^2 }{16} = \frac{23 - 4x^2 }{8}\\\\y = \sqrt[3]{\frac{8}{3(23-4x^2)} }\)

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Answer:

B and D.

Step-by-step explanation: Just took the test.

Answer:

it is b and d trust

Step-by-step explanation:

edge2020

The 84th derivative of 2sin(x) at x = -π/3 is -2cos(-π/3) = -2cos(π/3) = -2(-1/2) = 1.

The 84th derivative of 2sin(x) at the point x=-π/3 can be found using the chain rule and the fact that the derivative of sin(x) is cos(x). The chain rule states that the derivative of a function f(g(x)) is f'(g(x))g'(x). In this case, f(x) = 2sin(x) and g(x) = x, so f'(x) = 2cos(x) and g'(x) = 1. Therefore, the 84th derivative of 2sin(x) is 2cos(x) * 1 = 2cos(x).

To find the value of the 84th derivative at the point x=-π/3, we simply plug in -π/3 for x in the expression 2cos(x):

2cos(-π/3) = 2 * (1/2) = 1

Therefore, the 84th derivative of 2sin(x) at the point x=-π/3 is 1.

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The temperature of the steam is 441.7 K.

A 1-m³ tank contains 2.1085 kg of steam at 0.6 MPa.

The gas constant, critical pressure, and critical temperature of steam are

R = 0.4615 kPa.m³/kg.K,

TCr = 647.1 K, and

PCr = 22.06 MPa.

Using data from the steam tables, let's find the temperature of the steam.

According to the steam table, the specific volume of the steam is 0.194 m³/kg at 0.6 MPa and 393.71 K. Since 1 m³ tank contains 2.1085 kg of steam, the total volume of steam is:

V = m/v

= (2.1085 kg)/(0.194 m³/kg)

= 10.8665 m³

The ideal gas equation of state is:

Pv = mRTor

T = PV/mR

Substituting the values we get:

T = (0.6 MPa)(10.8665 m³)/(2.1085 kg)(0.4615 kPa.m³/kg.K)

T = 441.7 K

Therefore, the temperature of the steam is 441.7 K.

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Answer:

218.57

Step-by-step explanation:

Since it is an isoceles triangle, the sides are 32, 32, and 14.

Using Heron's Formula, which is Area = sqrt(s(s-a)(s-b)(s-c)) when s = a+b+c/2,  we can calculate the area.

(A+B+C)/2  = (32+32+14)/2=39.

A = sqrt(39(39-32)(39-32)(39-14) = sqrt(39(7)(7)(25)) =sqrt(47775)= 218.57.

Hope this helps have a great day :)

Check the picture below.

so let's find the height "h" of the triangle with base of 14.

\(\begin{array}{llll} \textit{using the pythagorean theorem} \\\\ a^2+o^2=c^2\implies o=\sqrt{c^2 - a^2} \end{array} \qquad \begin{cases} c=\stackrel{hypotenuse}{32}\\ a=\stackrel{adjacent}{7}\\ o=\stackrel{opposite}{h} \end{cases} \\\\\\ h=\sqrt{ 32^2 - 7^2}\implies h=\sqrt{ 1024 - 49 } \implies h=\sqrt{ 975 }\implies h=5\sqrt{39} \\\\[-0.35em] ~\dotfill\)

\(\stackrel{\textit{area of the triangle}}{\cfrac{1}{2}(\underset{b}{14})(\underset{h}{5\sqrt{39}})}\implies 35\sqrt{39} ~~ \approx ~~ \text{\LARGE 218.57}\)

Answer:

See below

Step-by-step explanation:

Continuation of question:

a) Since the relationship is linear, we'll build a formula using the two points

(1000, 100) and (960, 180)

Slope-intercept form

Finding the slope and y-intercept:

So the function is

b) x = 980

Using the function to find the wind speed:

c) y-intercept is acting as correlation to barometric pressure demonstrating absolute wind speed in case zero barometric pressure (impossible in natural condition)

d) Negative slope demonstrates decreasing wind speed as barometric pressure increases

Step-by-step explanation:

what ? nothing makes any sense here.

please read your problem statement again and type it here again, letter by letter, digit by digit, symbol by symbol.

Answer:

18x

.....................

En Español :

1 centímetro → 10 kilómetros

25 centímetros → x

x = (10×25)/1

x = 250 kilómetros

¿cuál es la distancia real

entre esos dos puntos?

La distancia real entre esos dos puntos es de 250 kilómetros.

In English :

1 centimeters → 10 kilometers

25 centimeters → x

x = (10 × 25) / 1

x = 250 kilometers

What is the real distance between those two points?

The actual distance between these two points is 250 kilometers.

Let the original price of the item be X.

In one week, the price is halved and becomes (1/2)X.

In two weeks, the price is halved again and becomes (1/4)X, which is only 75% off.

Answer:

Step-by-step explanation:

no

The abiotic factor that can prevent the organism from becoming preserved, AFTER it has been buried is groundwater.

An abiotic factor refers to a non-living component of an ecosystem that influences the survival and growth of living organisms.

Groundwater can cause the dissolution of minerals present in the sediment that encases the buried organism.

This process can lead to the destruction of the fossilized remains, as the minerals provide the framework for the preservation of the organism's hard parts (such as bones or shells).

Groundwater can also cause the erosion of the sediment, which can expose the buried remains and make them vulnerable to biotic factors such as scavengers, predators, and decomposers.

Predators and animals that eat bones, scavengers and plants that use the nutrients of fossils, and other animals of the same species as the organism that died are all biotic factors that can affect the preservation of the organism, but they do so before or during the burial process.

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Answer:

I believe it would be the last table.

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

The first two problems can be solved in your head by working backward from the end result.

__

1. After 3/2 is added, the result is 4. Then we must be adding 3/2 to 4 -3/2 = 5/2. We notice that 5/2 already has the numerator 3 more than the denominator, so the fraction of interest is 5/2.

__

2. If 3/8 is added to a number giving a result of 1, the number must be 1 -3/8 = 5/8. That is 5 times 1/8. The number of interest is the reciprocal of 1/8, so is 8.

__

3. Let x represent the speed of the faster car. Then x-3 is the speed of the slower car, and the two times are ...

  time = distance/speed

  390/x = 372/(x-3)

  390(x -3) = 372x . . . cross multiply

  18x = 1170 . . . . . . . add 1170-372x

  x =  65 . . . . . . . . . . divide by 18

The speeds of the cars are 65 mph and 62 mph.

Answer: 0.15 m

Step-by-step explanation:

Using the small angle formula

D= kd/206265 where

k= 22 and d= 1400

D= 22 x 1400/206265

D=0.149 m

Hence the linear diameter is 0.15 m.

A cylinder has volume of 45 and radius 3, the height of the cylinder is 5 units.

The formula for the volume of a cylinder is given by V =

\(\pi r^2 h,\)

where V is the volume, r is the radius, and h is the height.

In this case, we know that the volume is 45

\(\pi\)

and the radius is 3. We can plug these values into the formula and solve for the height:

\(45 \pi = \pi (3)^2 h\)

Simplifying the right-hand side of the equation:

Dividing both sides by 9

\(h = \frac{45 \pi}{9 \pi} = 5\)

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We will use the "Either of the rules" to calculate the probability that either the top card is the ace of spades or the bottom card is the ace of spades.

The either of the rules states that the probability of either of two mutually exclusive events occurring is the sum of their individual probabilities. In this case, the events are the top card being the ace of spades and the bottom card being the ace of spades. Since the two events are mutually exclusive (the ace of spades cannot be both at the top and at the bottom of the deck), we can add their probabilities to get the total probability.

The probability of the top card being the ace of spades is 1/52 (since there is only one ace of spades in the deck of 52 cards), and the probability of the bottom card being the ace of spades is also 1/52 (assuming that the deck has been sufficiently shuffled). Therefore, the probability of either the top card or the bottom card being the ace of spades is:

P(top or bottom is ace of spades) = P(top is ace of spades) + P(bottom is ace of spades)

= 1/52 + 1/52

= 2/52

= 1/26

So the chance that either the top card is the ace of spades or the bottom card is the ace of spades is 1/26 or approximately 0.038 or 3.8%.

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The probability is 2/52 or 1/26.

To find the chance that the top card is the ace of spades or the bottom card is the ace of spades, you will use the

Addition rule.

Calculate the probability of the top card being the ace of spades:

There are 52 cards in a deck, and 1 ace of spades, so the probability is 1/52.

Calculate the probability of the bottom card being the ace of spades:

This is also 1/52 since there's still 1 ace of spades among the 52 cards.

Apply the Addition rule:

Add the probabilities together, then subtract the probability of both events happening at the same time (which is 0, as

the ace of spades can't be in both positions).

So, the probability is (1/52) + (1/52) - 0 = 2/52 or 1/26.

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