bobs bank charges him 3.15

The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

Determining the diameter of tin:

Since there is no indication of dimensions, represent the diameter with a variable 'd' and find the diameter of the tin according to the given condition in the problem.

Here we have assumed that the diameter of the tin is 'd' in reality and the diameter of the tin picture can be calculated as given below.  

Here we have

A ricoffy tin container with no dimensions indicated

Let d and h be the diameter and height of the tin

Given that the container is 2/5 times smaller than d

then the diameter of the tin in the picture \(= d - 2/5(d)\)

\(= [5d - 2d]/5 = 3d/5\)

Therefore, The diameter of the tin in the picture is  \(3d/5\) where 'd' is the diameter of the tin in reality.

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Answer:

$181.20

Step-by-step explanation:

6% of $3,020 is $3,020. I don't really know how to explain it but yeah lol.

Answer:

Your answer is 181.2

Step-by-step explanation:

the number 3020 is 100% (because it's the output value of the task)

If 3020 is 100%, so we can write it down as 3020=100%.

We know, that x is 6% of the output value, so we can write it down as x=6%.

Now we have two simple equations:

3020=100%

x=6%

3020/x=100%/6%

Now we just have to solve the simple equation, and we will get the solution we are looking for.

3020/x=100/6

(3020/x)*x=(100/6)*x       (we multiply both sides of the equation by x)

3020=16.666666666667*x       (we divide both sides of the equation by) (16.666666666667) to get x

3020/16.666666666667=x

181.2=x

x=181.2

hope this helps

Give Brainliest if you please

we nee to write the equation, the general form is

where m is the slope and b the y-intercept

first find the slope

where (x2,y2) is a right point from (x1,y1)

we will use two points from the table ( -36 , -117 ) ( -27 , -98 )

so replacing

we replace the slope on the equation

now repalce any point of the table on the equation to find b

I will use (-18,-79)

so, the y-intercept of the line is (0,-41) and the general euqation of the line is

The plane flies at a speed of 150mph

A plane can fly 300 miles in the same time as it takes a car to go 120 miles

Let the time taken be t

Let the speed of the plane be x

the car travels 90 mph slower than the plane,

Speed of the car is x - 90

Speed = distance / time

Time taken by plane = time taken by car

300/ x = 120/x - 90

300(x - 90) = 120x

300x - 27000 = 120x

300x - 120x = 27000

180x = 27000

x = 27000/180

x = 150

Therefore, the plane flies at a speed of 150mph

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Answer:

see below and attachment

Step-by-step explanation:

a=30°

because, the marked angle of 30° is an alternate interior angle to angle a.  Alternate interior angles are congruent, and we know they are congruent because the 2 horizontal lines are parallel.

b=50°

because the marked angle of 50° is a vertical angle to angle b.  Vertical angles are congruent because 2 lines that intersect have opposite congruent angles, making them vertical angles to each other.

c=50°

because the marked angle of 50° is a corresponding angle (same side angle) to angle c.  These corresponding angles are congruent because the 2 horizontal lines are parallel.

d=100°

because the 3 interior angles of a triangle must add up to 180°.  We have 30°, 50°, so the last angle must be 100°.  We can also figure this out because the bottom horizontal line is a straight line, meaning the angle is also 180°.  We have angle a as 30°, angle c as 50°, so angle d must be 100°.

Hope this helps!  See attachment for visual.

Answer: f(x)=2^x+5

Step-by-step explanation:

math

Answer:

Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.

Explanation:

P(25, 10) lies on the curve:

Q is the point (x, √x+5).

For any value of x, the slope of the secant line PQ is determined using the formula:

(a)When x=25.1

(b)When x=25.01

(c)When x=24.9

(d)When x=24.99

Based on the results above, the slope of the tangent line to the curve at P(25,10) is 0.1.

Answer:16

Step-by-step explanation:

Answer:

6,2 kordinat 34,5 h2 semoga membanti

Answer:

4

Step-by-step explanation:

To find the median you have to order the innings pitch from greatest to largest then finding the middle value:

\(1\frac{2}{3}, 3\frac{1}{3}, 3\frac{2}{3}, 4\frac{1}{3}, 5, 6\)

Now we can find the median by finding the middle number of this sequence:

After calculating the middle number as you can see is:

Which would be 3 and 2/3 and 4 and 1/3 we add them then divide them by 2 and we get 4

Middle Numbers:

\(3\frac{2}{3} + 4\frac{1}{3} / 2 = 4\)

Answer:

3 2/3 innings pitched

Step-by-step explanation:

median is the number in the middle.

for example:

3, 4, 6, 7, 8, 10, 11

number in the middle is 7, is the 3 away from both ends

-----

4 1/3, 3 2/3, 5, 3 1/3, 6, 1 2/3

put numbers in chronological order.

1 2/3,  3 1/3, 3 2/3, 4 1/3, 5, 6,

3 and 2/3s is 2 from both sides

median is 3 2/3

Path A-B-C-E represents the distance traveled, which is 18 meters.

Path A-G-C-E represents the displacement, which is 17 meters.

From the given figure, we can identify the paths and calculate the distance and displacement.

Path A-B-C-E represents the distance traveled, and path A-G-C-E represents the displacement.

Let's calculate the lengths of both paths:

Distance traveled (Path A-B-C-E):

Length of AB = 9m

Length of BC = 3m

Length of CE = 6m

Total distance traveled = Length of AB + Length of BC + Length of CE

= 9m + 3m + 6m

= 18m

Therefore, the distance traveled along path A-B-C-E is 18 meters.

Displacement (Path A-G-C-E):

Length of AG = 5m

Length of GC = 6m

Length of CE = 6m

Total displacement = Length of AG + Length of GC + Length of CE

= 5m + 6m + 6m

= 17m

Therefore, the displacement along path A-G-C-E is 17 meters.

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\(f(x) = - x {}^{2} + 18 \\ f'(x) = - 2x\)

\(x_{n + 1} = x_{n} - \frac{f(x_{n})}{f'(x_{n})} \)

\(x_{2} = 3 - \frac{f(3)}{f'(3)} = 4.5\)

\(x _{3}= 4.5 - \frac{f(4.5)}{f'(4.5)} = 4.25\)

\(x_{4} = 4.25 - \frac{f(4.25)}{f'(4.25)} ≈4.242647\)

\(x_{5} = 4.242647 - \frac{f(4.242647)}{f'(4.242647)} ≈4.242640 \\ \)

The resulting function after all transformations have been carried out is; 4log7(x+5) + 2.

The transformations which ensued on the function given are as follows;

Stretched vertically by a factor of 4; Hence, we have; 4f(x) = 4log7(x).

Shifted to the left by 5 units; 4f(x) = 4log7(x +5).

Shifted down by 2 units; 4f(x) +2 = 4log7(x+5) + 2.

On this note, it follows that the resulting function upon all the Transformations is; = 4log7(x+5) + 2.

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Answer:

200

146- (-54)= 200

or use a number line

The expression of logarithmic function, f(x) = ln (1/gᵏ) after all possible expansion is equals to the f(x) = - k × ln( g).

In mathematics, the logarithmic function is defined as inverse function to exponent function and defined as f(x) = logₐx where a is base of function. Properties of Logarithmic Functions :

We have, a natural logarithmic function, i.e., base = 10, f(x) = ln (1/gᵏ) and we have to expand it. To expand logarithms means write them as a sum or difference product of logarithms. The order to apply rules is quotient rule, product rule and then power rule. So, f(x) = ln (1/gᵏ)

applying quotient rule,

=> f(x) = ln(1) - ln( gᵏ)

Appling power rule,

=> f(x) = ln(1) - k ln( g)

Applying Zero Exponent Rule,

=> f(x) = 0 - k × ln( g)

Hence, the required expansion is f(x) = - k × ln( g).

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Answer:

=−1±1 3√4

Step-by-step explanation:

Answer:

The answer is B

Step-by-step explanation:

Move the constant to the left, 4x^2+2x-2-1=0

Calculate the difference, 4x^2+2x-3=0

then solve using quadratic equation (must too difficult to type out)

Answer:

Refer to explanation^

Step-by-step explanation:

As stated in the solution, 3/7 is a negative fraction.

To make it less confusing,

2/7 x (-3/7)

Multiply the numerator with the other numerator and the denominator multiply with the other. Like...

2 multiply 3 = 6 (numerator)

7 multiply 7 = 49 (denominator)

Since the 2nd fraction is a negative, the answer is negative too.

If you convert the fraction to a decimal, it gives -0.1224489796

Answer:

5+0.10d

Step-by-step explanation:

A five dollar bill is worth $5 and a dime is worth 10 cents, or a tenth of a dollar. To find the value of the money take the sum of the value of the bill and the number of dimes (d) times the value of each dime. You will get $5+0.10d.

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Answer:

f(x) = x³ - 4x + 6

f'(x) = 3x² - 4

a) f'(2) = 3(2²) - 4 = 12 - 4 = 8

6 = 8(2) + b

6 = 16 + b

b = -10

y = 8x - 10

b) 3x² - 4 = 0

3x² = 4, so x = ±2/√3 = ±(2/3)√3

= ±1.1547

f(-(2/3)√3) = 9.0792

f((2/3)√3) = 2.9208

c) 3x² - 4 = 8

3x² = 12

x² = 4, so x = ±2

f(-2) = (-2)³ - 4(-2) + 6 = -8 + 8 + 6 = 6

6 = -2(8) + b

6 = -16 + b

b = 22

y = 8x + 22

f(2) = 6

y = 8x - 10

The equation perpendicular to the tangent is y = -1/8x + 25/4

-The smallest slope on the curve is 2.92

The curve has the smallest slope at the point (1.15, 2.92)

The equations at tangent points are y = 8x + 16 and  y = 8x - 16

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

y = x³ - 4x + 6

Differentiate

So, we have

f'(x) = 3x² - 4

The point is (2, 6)

So, we have

f'(2) = 3(2)² - 4

f'(2) = 8

The slope of the perpendicular line is

Slope = -1/8

So, we have

y = -1/8(x - 2) + 6

y = -1/8x + 25/4

We have

f'(x) = 3x² - 4

Set to 0

3x² - 4 = 0

Solve for x

x = √[4/3]

x = 1.15

So, we have

Smallest slope = (√[4/3])³ - 4(√[4/3]) + 6

Smallest slope = 2.92

So, the smallest slope is 2.92 at (1.15, 2.92)

Here, we set f'(x) to 8

3x² - 4 = 8

Solve for x

x = ±2

Calculate y at x = ±2

y = (-2)³ - 4(-2) + 6 = 6: (-2, 0)

y = (2)³ - 4(2) + 6 = 6: (2, 0)

The equations at these points are

y = 8x + 16

y = 8x - 16

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The mass of the drug in the organ at time t depends on the concentration of the drug in the blood entering the organ and the rate at which the blood is entering and leaving the organ. This can be calculated by multiplying the volume of the organ by the concentration of the drug in the blood.

At time t, since the rate at which the blood is entering and leaving the organ is 3 cm^3/sec, the amount of drug in the organ is equal to the amount of drug entering the organ plus the amount of drug that was initially in the organ. As there was no trace of the drug initially, the mass of the drug in the organ at time t is 3 cm^3/sec multiplied by the concentration of the drug in the blood (1/3 gm/cm3) multiplied by the volume of the organ (150 cm^3).

Therefore, the mass of the drug in the organ at time t is 150 gm.

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Answer:

c = 6.25

Step-by-step explanation:

We are given the following piecewise function:

\(\left \{ {{cx^{2} + 2x, x < 3} \atop {3x^{3} - cx, x \geq 3}} \right\)

Continuous function:

A function f(x) is continuous, at a point a, if:

\(\lim_{x \to a} f(x)\) exists and \(\lim_{x \to a} f(x) = f(a)\)

In this question:

Piece-wise function, so we have to verify if the limit exists.

The function changes at x = 3. So we verify at a = 3.

It will exist if:

\(\lim_{x \to 3^{-}} f(x) = \lim_{x \to 3^{+}} f(x)\)

To the left:

Less than 3.

\(\lim_{x \to 3^{-}} f(x) = \lim_{x \to 3^{-}} cx^{2} + 2x = c*(3)^{2} + 2*3 = 9c + 6\)

To the right:

Greater than 3.

\(\lim_{x \to 3^{+}} f(x) = \lim_{x \to 3^{+}} 3x^{3} - cx = 3*3^{3} - 3c = 81 - 3c\)

f continuous:

They have to be equal:

\(\lim_{x \to 3^{-}} f(x) = \lim_{x \to 3^{+}} f(x)\)

\(9c + 6 = 81 - 3c\)

\(12c = 75\)

\(c = \frac{75}{12}\)

\(c = 6.25\)

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

53\(x_{123}\) == 134 cf

Step-by-step explanation:

A - on the po boyds at a emase the foot, 1, of building. He. Observes an obje- et on the top, P of the building at an angle of ele- building of 66 Aviation of 66 Hemows directly backwards to new point C and observes the same object at an angle of elevation of 53° · 1P) |MT|= 50m point m Iame horizontal level I, a a​

The height of the building is approximately 78.63 meters.

The following is a step-by-step explanation of how to solve the problem. We'll need to use some trigonometric concepts and formulas to find the solution.

Therefore, the height of the building is approximately 78.63 meters.

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Answer:

Step-by-step explanation:

You can let c, b, s represent the investments in CDs, bonds, and stocks, respectively.

  c + b + s = 170000 . . . . . . total invested

  0.0325c +0.038b +0.067s = 7745 . . . . . . . annual income

  -c + b = 60000

You can solve this set of equations using any of a number of methods, including on-line calculators, graphing calculators, scientific calculators, Cramer's Rule, substitution, elimination, and more. The solution is ...

  c = 30,000

  b = 90,000

  s = 50,000

Maricopa's Success invested $30,000 in CDs, $90,000 in bonds, and $50,000 in stocks.

Answer:

∠CDF = 48°

Step-by-step explanation:

∠CDE = ∠EDF + ∠CDF

Given that,

∠CDE = 114°

∠EDF = 66°

So, to find the value of ∠CDF, you have to subtract the value of ∠EDF from ∠CDE.

∠CDF = ∠CDE - ∠EDF

∠CDF = 114 - 66

∠CDF = 48°

Answer:

The answer is the last one 5/12 > 3/8

Step-by-step explanation:

Convert the fractions to regular numbers so 5/12 just do 5 ÷ 12 and 3/8 do 3 ÷ 8 whatever side has the arrow opened to means that's should be the bigger number for example 2 > 1 is true because 2 is greater than 1 but 2 < 1 is false

Answer:

5/12>3/8

Step-by-step explanation:

you need a common denominator

you multiply 5/12 by 2 the top and the bottom to get 10/24

then you multiply 3/8 by 3 the top and the bottom to get 9/24

10/24>9/24

Hence, the ball's radius is roughly 16.6 cm as the spherical ball has a volume of \(5,000 cm^3.\)

The quantity of three-dimensional space occupied by a solid, liquid, or gas is measured by its volume. It is frequently expressed in cubic units like cubic feet, cubic metres, or cubic metres. Depending on an object's shape, a number of formulas can be used to determine its volume. For instance, you can calculate the volume of a cube by multiplying its length, width, and height, while you can calculate the volume of a cylinder by dividing the base's surface area by the object's height.

given

The following is the formula for a sphere's volume:

\(V = (4/3)\pi r^3\)

where V is the sphere's volume and r is the sphere's radius.

Assuming that the spherical ball has a volume of 5,000 cm3, the radius can be calculated as follows:

\(5,000 = (4/3)\pi r^3\)

r^3 = (3/4) * 5000 / π

r^3 = 3978.16

\(r = (3978.16)^(1/3)\)

r ≈ 16.6 cm  (rounded to one decimal place).

Hence, the ball's radius is roughly 16.6 cm as the spherical ball has a volume of \(5,000 cm^3.\)

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Answer:

-12,9

Step-by-step explanation:

A) The Slope is: 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is: y = 2x + 4

The general form of equation of a line in slope intercept form is:

y = mx + c

where:

m is slope

c is y-intercept

From the given graph, we can see that the slope is gotten from the formula:

A) Slope = (y₂ - y₁)/(x₂ - x₁)

Thus:

Slope = (10 - 4)/(3 - 0)

Slope = 6/3

Slope = 2

B) The interpretation of the slope is that there are two races for each number of track meet.

C) The y-intercept from the graph is at: y = 4

D) Equation of the line is:

y = 2x + 4

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