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\(5 + n = 12 \\ \\ \\ \\ \\ \\ \\ \\ \\ \\ \)

Answer:

252 is anwer.

Step-by-step explanation:

please mark me brainliest and follow me my friend.

I believe the answer is C.

\(252\pi ^{2}\)

Answer: 23

Step-by-step explanation:On the scales below, each shape has a different weight. Scale A is balanced, which means that the sum of the weights on the left is equivalent to the sum of the weights on the right. What shape must be added to the right side of Scale B in order to balance it? Explain how you know.

The shape that must be added to the right side of Scale B in order to balance it is a square.

We can see that the scale on the left side of Scale A has a circle and a triangle, while the scale on the right side has a square and a triangle. Since the scale is balanced, we know that the circle and the square weigh the same.

We can also see that the scale on the left side of Scale B has a circle and a square, while the scale on the right side has a triangle. Since the scale is not balanced, we know that the circle and the square do not weigh the same.

The only way to balance Scale B is to add a shape that weighs the same as the circle. Since we know that the circle and the square weigh the same, we can add a square to the right side of Scale B to balance it.

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The growth rate is 7.4% and the initial amount is 1500.

The answer when t=5 is 2143.45.

From the question, we have the information available is:

We have to identify the initial amount a and the rate of growth r

The exponential function is:  f(t)=1500(1. 074)t

Evaluate the function when t=5.

Now, We using the formula:

The equation is the standard growth form \(y = A(1+r)^t\)

where;

A represents the initial amount,

r represents the rate as a decimal,

and t represents time.

Now, Plug all the values in the above formula:

t = 5, just plug in 5 for the value of t in the equation.

f(5) = 1500 × \((1.074^5)\)

f(5) = 1500 × (1.42896)

f(5) = 2143.45

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The value of x from the given figure is 12 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

From the given figure,

Consider ΔADC and ΔABC,

∠C=∠C (Reflex property)

AC=AC (Reflex property)

∠BAC=∠CDA=90°

By AA similarity, ΔADC ~ ΔABC

So, AC/BC = DC/AC

x/36 = 4/x

x²=36×4

x²=144

x=12 units

Therefore, the value of x from the given figure is 12 units.

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Change in base of right angled triangle is - 1.5cm/minute

The rate of change in area is defined as the change in with respect to time.

dA/dt = 1/2(BdH/dt + HdB/dt)

where A is area, B is base, H is height

A = 1/2×B×H

94 = 1/2×11.5×B

⇒ B = 94×2/11.5 = 16.3cm

Rate of change in base,

dA/dt = 1/2(BdH/dt + HdB/dt)

3.5 = 1/2(16.3×1.5 + 11.5×dB/dt)

dB/dt = 7-24.45/11.5 = -1.5 cm/minute

Thus,base of triangle is decreasing by 1.5cm/minute.

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The type intended to be used for non-numeric data is an Enumerated type. Enumerated types allow the programmer to define a set of named constants, representing all possible values for a particular variable.

These named constants can be used to represent non-numeric data such as categories, options, or states.

Integer types are intended for numeric data that represents whole numbers.

Enumerated types are intended for non-numeric data where a set of named constants is defined to represent all possible values.

Floating point types are intended for numeric data that represents real numbers with fractional parts.

Decimal types are intended for numeric data that requires precise decimal representation and arithmetic.

Therefore, the correct answer is b. Enumerated types, as they are specifically designed for non-numeric data representation.

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Answer:

Because Cosine range is (-1,1) and secant range is (-infinity,1) u (1, infinity)

The scale factor of the dilation is equal to: B. 5.

In Geometry, a scale factor simply refers to the ratio of two corresponding side lengths or diameter in two similar geometric objects, which can be used to either vertically or horizontally enlarge or reduce a function representing their size.

Generally speaking, the transformation rule for the dilation of a geometric object based on a specific scale factor with respect to the origin is given by this mathematical expression:

(x, y)      →    (SFx, SFy)

Where:

Scale factor = 15/3 = -25/-5

Scale factor = 5.

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Answer:

56 underwater breathing potions

Explanation:

Create variables to represent the different potions

-  flying = f   underwater breathing = b   mind reading = m

Make equations to represent all of the information you've been given.

- The number of flying potions is ten more than the number of mind reading potions. f = r + 10

- The number of water breathing potions is two more than three times the number of mind reading potions. b = 3r + 2

- The total number of potions is 102. f+b+r = 102

Substitute the variable in your equation for the total number of potions.

102 = (r +10) + (3r + 2) + r = 102

Combine like terms.

102 = 5r + 12

Solve for r.

90 = 5r

18 = r

You have to find the number of underwater breathing potions, b. Go back the equation for b and substitute 18 for r.

b = 3r + 2

b = 3(18) + 2

b = 56

So, your total number of underwater breathing potions is 56.

Answer:

AC and BE

Because both lines cross point B.

Answer:

7/6

Step-by-step explanation:

1/3=2/6

2/6+5/6=7/6

Answer:1.16666666667

Step-by-step explanation:

For the energy use to double it will take approximately 69.66 years.

To find out how many years it will take for the energy use to double, we can use the formula for exponential growth:

P = P₀ * (1 + r)^t

where P is the final amount of energy use, P₀ is the initial amount of energy use, r is the growth rate (1% per year in this case), and t is the number of years.

Setting P = 2 * P₀ and solving for t, we get:

2 * P₀ = P₀ * (1 + r)^t

Dividing both sides by P₀:

2 = (1 + r)^t

Taking the natural logarithm of both sides:

ln(2) = t * ln(1 + r)

Dividing both sides by ln(1 + r):

t = ln(2) / ln(1 + r)

Plugging in the values for r = 0.01 and using the natural logarithm function, we get:

t = ln(2) / ln(1 + 0.01) = 69.66 years

So it will take approximately 69.66 years for the energy use to double.

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The obtained value must be compared against the critical value. Hence, the correct option is b.

In hypothesis testing, the critical value is a threshold or cutoff point that is determined based on the chosen significance level (alpha level) and the distribution of the test statistic. It helps in determining whether to reject or fail to reject the null hypothesis.

After calculating the test statistic (such as z-score or t-statistic) from the observed data, it is compared to the critical value associated with the chosen significance level.

If the test statistic exceeds the critical value, it falls into the critical region, leading to the rejection of the null hypothesis.

If the test statistic is less than or equal to the critical value, it falls into the non-critical region, resulting in a failure to reject the null hypothesis.

Therefore, the obtained value must be compared against the critical value to make a decision in hypothesis testing. Hence, the correct answer is option b.

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If the region R bounded by the functions f(x) = 2 and g(x) = x + 1 is rotated around the x axis , then the volume of the resulting solid is (7/3)π cubic units .

The region R is bounded by the functions f(x) = 2 and g(x) = x + 1 , and is between x = 1 and x = 2 .

Region-R between the lines x = 1 and x = 2 is rotated ,  

So , The volume of the solid can be calculated as :

⇒ Volume = π × \(\int\limits^2_1\) (2)² - (x+1)²dx  ;

⇒ Volume = π × \(\int\limits^2_1\) 4 - (x+1)²dx  ;

⇒ Volume = [4x - (x+1)³/3]²₁ × π ,

⇒ Volume = π × [(4×2 - (2+1)³/3) - ((4×1) - (1+1)³/3)]

= [(8 - 27/3) - (4 - 8/3)]π

= [(8 - 9) - (4/3)]π

= [ -1 - 4/3]π  = -7/3π  ,

On taking the modulus of the volume ,

we get , that the Volume is 7/3π cubic units .

Therefore , the volume of the resulting solid is (7/3)π cubic units .

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The given question is incomplete , the complete question is

Define R as the region bounded by the functions f(x) = 2 and g(x) = x + 1 between x=1 and x=2. if R is rotated around the x-axis, what is the volume of the resulting solid?

Answer:

Step-by-step explanation:

7g = x miles

7 grade is x miles

8g = 7g + 15%

8 grad is 15% more than 7 grade

put what 7g is equal to into the 8g equation

8g = x + 15%

The expression represents the no. of miles an 8th grader

has to run 1.15x miles.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, 7th graders are required to run x number of miles, 8th graders are required to run 15% more than 7th graders.

∴ The expression represents the no. of miles an 8th grader has to run is,

= [ x + (15/100)x ] miles.

= x + 0.15x miles.

= 1.15x miles.

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The dimensions that will minimize the cost of the metal to manufacture the can are,

Radius = 4.08 cm

Height = 10.84 cm

To minimize the cost of the metal to manufacture the can, we need to minimize the surface area of the can. The surface area of a cylinder is given by

A = 2πrh + 2πr^2

where r is the radius of the cylinder, h is the height of the cylinder, and π is a constant equal to approximately 3.14159.

We are given that the can needs to hold 1.4 liters of oil. We can use this information to find the relationship between the radius and height of the cylinder. The volume of a cylinder is given by

V = πr^2h

Substituting the given volume of 1.4 liters (1400 cubic centimeters) and the constant π, we get

1400 = 3.14159r^2h

Solving for h, we get

h = 1400/(3.14159r^2)

Now we can substitute this expression for h in the formula for the surface area of the cylinder to get

A = 2πr(1400/(3.14159r^2)) + 2πr^2

Simplifying this expression, we get

A = (2800/πr) + 2πr^2

To minimize the surface area, we need to find the value of r that makes the derivative of A with respect to r equal to zero. Taking the derivative, we get

dA/dr = -2800/πr^2 + 4πr

Setting this equal to zero and solving for r, we get:

-2800/πr^2 + 4πr = 0

2800/πr^2 = 4πr

r^3 = 700/π

r ≈ 4.08 cm

Now we can use the formula for h in terms of r to find the corresponding value of h

h = 1400/(3.14159(4.08)^2) ≈ 10.84 cm

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The new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

(a) To find the angle that the pilot should turn to head towards Louisville, we first need to find how far off course the pilot has gone in 15 minutes. At an average speed of 220 miles per hour, the pilot would have flown a distance of:

d = rt = 220 mi/hr × (15 min / 60 min/hr) = 55 miles

Since the pilot was 10 degrees off course, they have effectively traveled 10/360 of the circumference of a circle with radius 55 miles. The length of this arc is:

s = rθ = 55 mi × (10/360) = 1.528 mi

To head towards Louisville, the pilot needs to turn to a heading that is 10 degrees in the opposite direction. The angle θ that the pilot needs to turn is given by:

θ = 2arctan(s/2d) = 2arctan(1.528 mi / 2(330 mi)) ≈ 0.266 radians ≈ 15.26 degrees

So the pilot needs to turn approximately 15.26 degrees to head towards Louisville.

(b) Let's call the distance the pilot needs to travel after correcting course "x". We can use the formula for distance to find "x":

x = 330 mi - 2(55 mi) = 220 mi

To complete the trip in a total time of 90 minutes, the pilot must spend 75 minutes flying at the new speed and 15 minutes turning to the correct heading. Therefore, the time spent flying at the new speed is 75 minutes - 15 minutes = 60 minutes. The new speed can be found using the formula for average speed:

average speed = total distance / total time

We want the new speed to cover a distance of 220 miles in 60 minutes:

average speed = 220 mi / (60 min / 60) = 220 mi/hr

So the new average speed that the pilot should maintain to complete the trip in 90 minutes is 220 miles per hour.

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Thus, the  value of f(-2), using the general solution to the differential equation is f(-2) = y = ln(ln|(-e+1)/(e^2)|).

To find the value of f(-2), we first need to find the general solution to the differential equation dy/dx=(ex−1/ey). We can rewrite this equation as dy/dx=(e^x/e^y)-1/e^y.

Let u=e^y, then du/dx=e^y dy/dx. Substituting this into the differential equation, we get:
du/dx = e^x - 1/u

This is a separable differential equation, which we can solve as follows:
du/(e^x-1/u) = dx
u - ln|e^x-1| = x + C
e^y - ln|e^x-1| = x + C
e^y = ln|e^x-1| + C

Applying the initial condition f(1) = 0, we get:
e^0 = ln|e^1-1| + C
1 = ln|e-1| + C
C = 1 - ln|e-1|

So the particular solution is:
e^y = ln|e^x-1| + 1 - ln|e-1|
e^y = ln|e^x-1| + ln|e/(e-1)|
e^y = ln|e(e^x-1)/(e-1)|

Now we can find the value of f(-2) by plugging in x=-2:
e^y = ln|e(e^-2-1)/(e-1)|
e^y = ln|e(-1/e^2-1)/(e-1)|
e^y = ln|(-e+1)/(e^2)|

Taking the natural logarithm of both sides, we get:
y = ln(ln|(-e+1)/(e^2)|)

Therefore, the value of f(-2) is:
f(-2) = y = ln(ln|(-e+1)/(e^2)|)

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Answer:

\(f^{-1}(f(58))=58\)

\(f(f(5))=11\)

Step-by-step explanation:

We are given that the table which shows some inputs and outputs of the invertible function f with domain all real numbers.

We are given that

x         f(x)

5         9

3         -2

1          -5

18          -1

0           1

9           11

We have to find

\(f^{-1}(f(58))\) \(f(f(5))\)

We know that

\(f^{-1}(f(x))=x\)

Using the property

\(f^{-1}(f(58))=58\)

\(f(5)=9\)

\(f(f(5))=f(9)\)

\(f(f(5))=11\)

In the given scenario, there is a box with three coins. Two of these coins are unusual: one has heads on both sides, and the other has tails on both sides. The third coin is a fair coin, meaning it has heads on one side and tails on the other.

If we randomly select a coin from the box and flip it, the probability of getting heads or tails depends on which coin we pick.

If we choose the coin with heads on both sides, every flip will result in heads. Therefore, the probability of getting heads with this coin is 100%.

If we choose the coin with tails on both sides, every flip will result in tails. So, the probability of getting tails with this coin is 100%.

If we choose the fair coin, the probability of getting heads or tails is 50% for each flip. This is because both sides of the coin are equally likely to appear.

It is important to note that the above probabilities are specific to the selected coin. The probability of selecting a specific coin from the box is not mentioned in the question.

In conclusion, the box contains three coins, two of which are unusual with either heads or tails on both sides, while the third coin is fair with heads on one side and tails on the other. The probability of getting heads or tails depends on the specific coin selected.

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The correct equation is b) C2+2e−⇒2C2. This equation represents the reduction of carbon (C) where two electrons (2e-) are gained, resulting in the formation of two carbon atoms (2C). The arrow pointing to the right (⇒) indicates the direction of the reaction.

In chemical reactions, electrons can be gained or lost, leading to oxidation or reduction processes. The equation b) C2+2e−⇒2C2 represents a reduction reaction, where C2 (a diatomic carbon molecule) gains two electrons (2e-) to form two separate carbon atoms (2C).

The equation a) F2+2e=>2F1- represents the reduction of fluorine (F2) to form two negatively charged fluorine ions (F1-). This equation is incorrect because fluorine does not form positive ions.

The equation c) S+3e=S3- represents the reduction of sulfur (S) where three electrons (3e-) are gained, resulting in the formation of a negatively charged sulfur ion (S3-). This equation is incorrect because sulfur typically forms sulfide ions (S2-) rather than S3-.

The equation d)  P+2e−>P3-  represents the reduction of phosphorus (P) where two electrons (2e-) are gained, forming a negatively charged phosphide ion (P3-). This equation is incorrect because phosphorus typically forms phosphide ions with a charge of -3 (P3-) or -2 (P2-), not P3-.

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Answer:

f(x+h)-f(x)/h=5h+10x-6

Step-by-step explanation:

f(x)=5x²-6x+1

f( x+h )=5( x+h )²-6(x+h)+1

          =5(x²+h²+2hx)-6x-6h+1

         =5x²+5h²+10xh-6x-6h+1

f(x+h)-f(x)=(5x²+5h²+10xh-6x-6h+1-(5x²-6x+1)

                =5x²+5h²+10xh-6x-6h+1-5x²+6x-1

                 =5h²+10hx-6h

f(x+h)-f(x)/h=(5h²+10hx-6h)/h

                   =5h+10x-6

Answer:

HCl + CsOH --> CsCl + H2O

So the ions making up the salt: Cl- and Cs+

Answer:

H+

H3O+

C. Cl-

D.Cs+

OH-

On solving the provided question, we can say that integral  =  \(\int\limits^a_b \,\)t√9 + 16t² dt  =   \(\int\limits^a_b \,\)√9 + 16t² d (9 + 16t²)

In mathematics, integrals translate integers into functions that express concepts like displacement, area, and volume that result from the combination of little facts. Integral discovery is a process that is referred to as integration. Integrals are mathematical constructs that, in calculus, have the same meaning as areas or generalized versions of areas. The main goal of calculus is to work with derivatives and integrals. Primitives and inverse derivatives are other terms for integral. Integration is essentially utilized to determine the area of 2D space and determine the volume of 3D objects. As a result, calculating an integral of a function with respect to x entails calculating the area between the curve and the x-axis.

integral

Curves, x = t³ or,

 = 3t²

y = t⁴ or,

  = 4t³  

Now, the line integral along C will be:

→  =  \(\int\limits^a_b \,\)√(3t²)² + (4t³)² dt

            =  \(\int\limits^a_b \,\)√9t⁴ + 16t⁶ dt

            =  \(\int\limits^a_b \,\)√9 + 16t² dt

           =  \(\int\limits^a_b \,\)√9 + 16t² dt

            =  \(\int\limits^a_b \,\)t√9 + 16t² dt

            =   \(\int\limits^a_b \,\)√9 + 16t² d (9 + 16t²)

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Answer:

Step-by-step explanation:

you have 2/9 of a chance :)

Answer:

P(Red) = 2/9

Step-by-step explanation:

2 parts are red out of 9 total parts, so the probability of the spinner stopping at a red section would be 2/9.

The graph of the function 6x + y = 9 is added as an attachment

From the question, we have the following parameters that can be used in our computation:

6x + y = 9

make y the subject

y = -6x + 9

The above function is a linear function that has been transformed as follows

Next, we plot the graph using a graphing tool by taking note of the above transformations rules

The graph of the function is added as an attachment

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