These two maps show the same area at two different scales.

​

​​Columbus is not on Map A
​Map B does not have a scale written on it.
​Riverside and Gladville are 6.8 cm apart on Map A.
​Riverside and Gladville are 3.4 cm apart on Map B.
​Gladville and Columbus are 1.8 cm apart on Map B.
​Determine the straight line distance, in miles, from Gladville to Columbus. ​

Answer:

the answer is 129 degree

Step-by-step explanation:

The line best illustrates the growth of a facultative anaerobe incubated aerobically is (b) on the graph.

Cells are the basic unit of life, and they carry out a variety of functions within an organism.

When a catalase-negative cell is exposed to hydrogen peroxide, the hydrogen peroxide will not be broken down into water and oxygen as quickly as it would be in a catalase-positive cell (i.e., a cell that does produce catalase).

This can have important implications for the survival of the cell, particularly under aerobic (i.e., oxygen-rich) conditions.

The figure may contain several lines or curves, each of which represents the change in concentration of hydrogen peroxide over time for a different type of cell.

One of these lines will correspond to the catalase-negative cell. Since this cell does not produce catalase, the rate at which hydrogen peroxide is broken down will be slower than in a catalase-positive cell.

Therefore, the line corresponding to the catalase-negative cell should show a slower decrease in hydrogen peroxide concentration over time than the line corresponding to a catalase-positive cell.

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The potential energy of the King Air 200 aircraft is approximately 420,014,400,000 Nm.

To find the potential energy of the King Air 200 aircraft, we need to use the formula:

Potential Energy = Weight * Altitude

Given that the weight of the aircraft is 12,500 lb and the altitude is 25,000 ft, we can calculate the potential energy as follows:

Potential Energy = 12,500 lb * 25,000 ft

Now, let's convert the units to a more suitable form. Since the potential energy is usually measured in joules or foot-pounds, we'll convert the units accordingly.

1 lb = 4.448 N (approximately) 1 ft = 0.3048 m (approximately)

Using these conversion factors, we can convert the units:

Potential Energy = (12,500 lb * 4.448 N/lb) * (25,000 ft * 0.3048 m/ft) Potential Energy ≈ 55,120,000 N * 7,620 m

Finally, we can calculate the potential energy:

Potential Energy ≈ 420,014,400,000 Nm

Therefore, the potential energy of the King Air 200 aircraft is approximately 420,014,400,000 Nm.

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After solving, the height in feet of the sixth bounce is 1.892 feet.

In the given question, we ave to find the height, in feet, of the sixth bounce.

From the given question,

Height on the first bounce = 6.7

Subsequent bounce reaches a height of the previous bounce = 81%

Suppose the height is h.

So according to the question:

h(6) = height on the first bounce*(subsequent bounce reaches a height of the previous bounce)^6

h(6) = 6.7*(81%)^6

h(6) = 1.892 feet

So the height of sixth bounce is 1.892 feet.

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Answer:

53

Step-by-step explanation:

Let yazid's score be x

x + x + 17 + 2x = 161

4x + 17 = 161

4x = 144

x = 36

jack = x + 17

jack = 53

Answer:

Jack:  36

Bonus:  Yazid:  53 and Susan:  72

Step-by-step explanation:

Let J, Y, and K stand for Jack, Yazin, Susan's scores.

We are told that:

J = Y + 17  [Jack scored 17 marks more than Yazid]

S = 2Y  [Susan scored twice Yazid's score]

J + Y + S = 161  [total score is 161]

Substitute the first two expressions into the last equation:

J + Y + S = 161

(Y+17) + Y + (2Y) = 161

4Y = 144

Y = 36

Use Y = 36 to find the other scores:

J = Y + 17

J = 36 + 17

J = 53

S = 2Y

S = 2*(36)

S = 72

CHECK:

Does 36+53+72 = 161?

YES

Answer:

 y  = 3x + 3

Step-by-step explanation:

Given parameters;

 Coordinates of the line;

            (-2, -3)

  Slope of the line  = 3

Unknown:

Equation of the line = ?

Solution:

The equation of any straight line is often expressed as;

            y  = mx + c

y and x are the coordinates

c is the intercept

  Now insert values of y, x and m to find c;

   -3  = 3(-2) + c

   -3  = -6 + c

    c = -3 + 6  = 3

The equation of the line is;

         y  = 3x + 3

Answer:

x=1120-d

Step-by-step explanation:

Answer:

x = 1120 - d

Step-by-step explanation:

Hi there!

We can simplify this using orders of operations.

First, subtract 125 from both sides to get x + d = 1120.

To isolate x, just subtract d from both sides.

If you give me a value for d, i can solve the full problem.

I hope this helps!

Answer:

A. 300 cm²

Step-by-step explanation:

Remember the formulae for the area A and circumference C of a circle:

A = r² π

C = 2π r

If we do the famous old engineering trick and just take π to be more or less equal to 3, we can easily find r:

C = 60 ≈ 2·3 r

⇒ r = 60/6 ≈ 10 [cm]

Then, using the same approximation for pi in the formula for area, we can find that:

A ≈ r²·3 = 10²·3 = 100·3 = 300

⇒ A ≈ 300 [cm²]

(The ≈ symbol pretty much means "is approximately equal to" by the way)

Answer:

ans no b if you will apply the formula

Step-by-step explanation:

i think it's no b

Answer:

222.33 ft^2

Step-by-step explanation:

The formula to find the area of a triangle with two sides and an included angle is:

A=\(\frac{1}{2}\)absin(C),

where a and b are the two sides and C is the angle in between.

Area=\(\frac{1}{2}\)*32*19*sin(47)≈222.33

222.33 ft^3

Answer:

3/4

Step-by-step explanation:

please mark me as brainlest

Thus, the obtained area of sector for the given circle is found as 43.96 in².

Two radii that meet at the centre to form a sector define a circle. The sector is the portion of the circle created by these two radii. Knowing a circle's central angle assessment and radius measurement are both crucial for solving circle-related difficulties.

The curved portion that runs along the circle's perimeter and joins the ends of a two radii that make up a sector is known as the sector arc.

given data:

Formula for the area of sector:

area of sector = Ф /360 * (πr²)

area of sector = 140/360 * (3.14 *6²)

area of sector = 7/18 * 3.14 *36

area of sector = 43.96 in²

Thus, the obtained area of sector for the given circle is found as 43.96 in².

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To find P(B) given P(A) = 0.4, P(B|A) = 0.3, and P(A U B) = 0.6, we can use the formula for conditional probability.

The calculation involves using the formula P(A U B) = P(A) + P(B) - P(A ∩ B), where P(A U B) represents the probability of the union of events A and B, and P(A ∩ B) represents the probability of the intersection of events A and B.

First, we know that P(A U B) = 0.6 and P(A) = 0.4. Rearranging the formula, we get P(A ∩ B) = P(A) + P(B) - P(A U B).

Substituting the given values, we have 0.6 = 0.4 + P(B) - P(A ∩ B).

Simplifying the equation, we can isolate P(B) by subtracting 0.4 from both sides: P(B) = 0.6 - 0.4 + P(A ∩ B).

Therefore, the probability of event B, denoted as P(B), depends on the value of P(A ∩ B) and cannot be determined with the given information.

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The true speed of the object is 58.524.

The direction of the object is 163°.

Given that,

An object experiences two velocity vectors in its environment.

v1 = −60i + 3j

v2 = 4i + 14j

Resultant vector is,

V = v1 + v2

   = -56i + 17j

Now the true speed is,

True speed = √(=[(-56)² + (17)²] = 58.524

Direction of the object is,

Direction = tan⁻¹ (17 / -56)

               = - tan⁻¹ (17/56)

               = -16.887° ≈ -17°

                                = 180° - 17 = 163°

Hence the correct option is A.

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Answer: 24

Step-by-step explanation:

Equation: (1/3)x + 4 + 12 = x

Equation: (1/3)x + 16 = x

MULTIPLY EVERYTHING WITH 3

1/3 times 3 = x   16 times 3 = 48    x times 3 = 3x

Equation: x + 48 = 3x   MINUS THE "X" BY 3X = 2X

Equation: 2x = 48   OR   x = 24

CHECK THE EQUATION:

Sister: 8   Brother: 4   Herself: 12

8 + 4 + 12 = 24

Rounding up to the nearest whole number, the sample size used to conduct this confidence interval is roughly 385. So, the sample size used to conduct this 95% confidence interval is roughly 340 students.

To find the sample size that was used to conduct this confidence interval, we need to use the formula:

n = (Z^2 * p * q) / E^2

where:

n = sample size
Z = the z-score associated with the confidence level (in this case, 1.96 for a 95% confidence interval)
p = the proportion of first-year students who played in intramural sports (0.35 in this case)
q = 1 - p (the proportion who did not play in intramural sports)
E = the margin of error (0.05 in this case)

Plugging in the values we have:

n = (1.96^2 * 0.35 * 0.65) / 0.05^2
n = 384.16

Rounding up to the nearest whole number, the sample size used to conduct this confidence interval is roughly 385.

Based on the given 95% confidence interval for the proportion of first-year students who played intramural sports, we can estimate the sample size used. The conservative interval is 35% ± 5%, which means the proportion ranges from 30% to 40%.

To calculate the sample size, we can use the following formula:

n = (Z^2 * p * (1-p)) / E^2

Where:
n = sample size
Z = Z-score for a 95% confidence level (1.96)
p = proportion (0.35)
E = margin of error (0.05)

n = (1.96^2 * 0.35 * (1-0.35)) / 0.05^2
n ≈ 340

So, the sample size used to conduct this 95% confidence interval is roughly 340 students.

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Log4 27 is approximately 2.377 when expressed as a logarithm in base 2.

To evaluate log4 27 using the change of base formula, we need to write it in terms of a common base, such as base 10 or base 2. Let's use base 10:
log4 27 = log10 27 / log10 4

Now we need to find the logarithms of 27 and 4 in base 10:
log10 27 = 1.431
log10 4 = 0.602

Substituting these values into the formula, we get:
log4 27 = 1.431 / 0.602 = 2.38

So log4 27 is approximately 2.38.

To convert log4 27 to a logarithm in base 2, we use the change of base formula again, this time with base 2:
log4 27 = log2 27 / log2 4

Now we need to find the logarithms of 27 and 4 in base 2:

log2 27 = 4.754
log2 4 = 2

Substituting these values into the formula, we get:
log4 27 = 4.754 / 2 = 2.377

Rounding to the nearest thousandth, we get:

log4 27 ≈ 2.377

Therefore, log4 27 is approximately 2.377 when expressed as a logarithm in base 2.

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Answer:

4

Step-by-step explanation:

The median is the middle number when the list is sorted from least to greatest or greatest to least.

We make this list to get 2,3,4,5,8 or 8,5,4,3,2 and the middle number in both lists is 4.

The probability that relay 1 functioned is 0.5000, rounded to four decimal places.

The probability that relay 1 functioned is calculated using Bayes' theorem. Bayes' theorem states that P(A|B) = P(B|A) * P(A) / P(B). In this case, A is the event of relay 1 functioning, and B is the event of current flowing when the relays were activated. Using this formula, we can calculate the probability that relay 1 functioned as follows:

P(A|B) = P(B|A) * P(A) / P(B)

P(A|B) = 1 * 0.5 / 1

P(A|B) = 0.5

Therefore, the probability that relay 1 functioned is 0.5000, rounded to four decimal places.

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Answer:

Step-by-step explanation:

When the diver hits the water the height, h(t), becomes zero.  We set h(t) equal to zero and solve the resulting equation for t:

h(t) = -4t^2+ 11t + 3 = 0

The coefficients of this quadratic equation are {-4, 11, 3}, and so the discriminant (needed in the quadratic formula) is -11 - 4(-4)(3) = 47.

                                            -11 ± √37               11 + √37            11 - √37

Therefore the roots are t = --------------, or t = ------------- or t = ---------------

                                                  -8                          8                        8

Both of these results are positive.  Picture the graph as one opening down and intersecting the x-axis in two places.  The diver hits the water (and h becomes zero) at the later time:

       11 + √37

t = ---------------- sec (a little over 2 sec)

              8

The toy cars Anna must sell for her revenue to equal her expense is 4 toy cars. The result is obtained by using the concept of calculating algebra.

To calculate the algebra with one variable, sum up all the same variable and count the value.

Anna want to sell toy car at a craft fair. Each car is sold at a price of $ 12. The material for each car cost $ 3.50 and the table rental at the fair is 34 dollar for the day.

Find the toy cars must Anna sell for her revenue to equal her expense!

We have

Let's say

Revenue = Expense

a × $12 = (a × $3.5) + $34

12a = 3.5a + 34

12a - 3.5a = 34

8.5a = 34

a = 4 toy cars

Hence, Anna must sell 4 toy cars so that her revenue is equal to expense.

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The proportion that can be used to estimate the height of the tree is 6/h = 3/7 ( option D)

Similar triangles are triangles that have the same shape, but their sizes may vary. This shows the corresponding angles of the triangles must be equal. And the ratio of the corresponding sides must be equal.

Therefore, we can say that;

6/h = 3/7

and by this the height of the tree can be found

42 = 3h

h = 42/3 = 14ft

therefore the proportion that can be used to find the height of the tree is 14ft.

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Answer:

x = 10; y = 8

Step-by-step explanation:

Let

DVDs = x

CDs = y

3x + 4y = 62 (1)

4x + 3y = 64 (2)

Multiply (1) by 4 and (2) by 3 to eliminate x

12x + 16y = 248 (3)

12x + 9y = 192 (4)

Subtract (4) from (3)

16y - 9y = 248 - 192

7y = 56

y = 56/7

y = 8

Substitute y = 8 into (1)

3x + 4y = 62

3x + 4(8) = 62

3x + 32 = 62

3x = 62 - 32

3x = 30

x = 30/3

x = 10

x = 10; y = 8

Answer:

b,d

Step-by-step explanation:

80+3= 83 false

0+3=3 true

70+3= 73 false

60+3=63 true

69+3= 72 false

Hope this helps

\(\large\text{Hey there!}\)

\(\large\textsf{x + 3}<\large\textsf{70}\\\\\huge\textbf{SUBTRACT 3 to BOTH SIDES}\\\\\large\textsf{x + 3 - 3}<\large\textsf{70 - 3}\\\\\huge\textbf{CANCEL out: 3 -3 because it give you 1}\\\\\huge\textbf{KEEP: 70 - 3 because it help what is}\\\huge\textbf{being compared to the x-value}\\\\\large\text{NEW EQUATION: \textsf{x}} < \large\textsf{70 - 3}\\\\\large\text{SIMPLIFY IT!}\\\\\large\textsf{x}< \large\textsf{67}\\\\\huge\textbf{Thus, your answer is: \boxed{\mathsf{x < 67}}}\huge\checkmark\)

\(\large\textbf{It is an (O)(P)(E)(N) circle shaded to the LEFT side of the}\\\large\textbf{number starting at point 67.}\)

\(\large\text{Good luck on your assignment \& enjoy your day!}\)

The solution to the differential equation x(dy/dx) - 4y = 7x^4 * e^x

is  \(y(x) = 7 * e^x + C * x^4.\)

To solve the differential equation x(dy/dx) - 4y = 7x^4 * e^x, follow these steps:

Step 1: Identify the type of differential equation. This equation is a first-order linear differential equation, as it has the form

x(dy/dx) + p(x)y = q(x).

Step 2: Find the integrating factor. The integrating factor is given by e^(∫p(x)dx).

In this case, p(x) = -4/x, so the integrating factor is

\(e^(\int ^(^-^4^/^x^)^d^x^) = e^(-4^l^n^|^x^|^) = x^(^-^4^).\)

Step 3: Multiply the entire differential equation by the integrating factor.

This gives \(x^(-4)(x(dy/dx) - 4y) = x^(-4) * 7x^4 * e^x\).

Step 4: Simplify the equation. The left side of the equation becomes (dy/dx) - 4/x * y, and the right side becomes 7 * e^x.

Step 5: Integrate both sides of the equation.

\(\int (dy/dx) - 4/x * y dx = \int7 * e^x dx.\)

Step 6: The left side becomes y(x), and the right side becomes 7 * e^x + C, where C is the constant of integration.

Step 7: Solve for y(x). The final solution is\(y(x) = 7 * e^x + C * x^4.\)
So, the solution to the differential equation \(x(dy/dx) - 4y = 7x^4 * e^x\)

is\(y(x) = 7 * e^x + C * x^4.\)

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Answer:

The answer would be D i believe.

Step-by-step explanation:

Since she is 3 inches less than the height of her brother, it would be subtraction.

Answer:

Step-by-step explanation:

Answer: 1608.48

Step-by-step explanation:

Answer:

Find the Slope = y2 - y1 / x2 - x1

 = 6 - 2 / 12 - -4

 = 4/16  

= 1/4  This is the slope, m.

2) Now, plug m and one point into: y - y1 = m (x - x1)

  y - 6 = 1/4 (x - 12)  Distribute the 1/4

 y - 6 = 1/4 * x - 3  Solve for y

y = 1/4*x - 3 + 6

y = 1/4*x + 3

Step-by-step explanation:

brainliest please?

The value of m for a line that passes through  (-24, m) and (12,11) and have a slope of 1 / 12 is  8.

The slope of a line is a measure of its steepness. The slope is rise divided by the run.

Therefore,

(-24, m)(12, 11)

slope = m = 1 / 12

slope = y₂ - y₁ / x₂ - x₁

Therefore,

x₁ = -24

x₂ = 12

y₁ = m

y₂ = 11

1 / 12 = 11 - m / 12 + 24

1 / 12 = 11 - m / 36

cross multiply

36 = 12(11 - m)

36 = 132 - 12m

36 - 132 = -12m

-96 = -12m

m = 96 / 12

m = 8

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Answer:

Step-by-step explanation:

To the 4th power means that all the items in the parenthesis is mulitplied 4 times

(9m)⁴

=9*9*9*9*m*m*m*m*m  or

= (9m)(9m)(9m)(9m)