Convert the angle to Degrees, Minutes, and Seconds. 56.38°

Answer:

75,000

Step-by-step explanation:

We have to round up to nearest thousand ,so we need to check hundred place ...

If hundred place is equal or greater than 5 ,we need to add +1 to the number which is in thousand place , If it is less than 5 we don't need to do so ....

Answer:

$1489.35

General Formulas and Concepts;

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Compounded Interest Rate Formula: \(\displaystyle A = P(1 + \frac{r}{n})^{nt}\)

Step-by-step explanation:

Step 1: Define

Identify variables

P = 1000

r = 10% = 0.1

n = 12

t = 4

Step 2: Solve for A

\(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

The given fraction is \(1\frac{3}{4}\).

\(1\frac{3}{4}\) feet can be written as a multiplication expression as follows: 1 foot × 1 3/4. This is because \(1\frac{3}{4}\) is the same as 1 + 3/4.

Furthermore, 3/4 can be written as 0.75, which is the same as 0.75 × 1 foot.

Therefore, the multiplication expression is 1 foot × \(1\frac{3}{4}\) = 1 foot × (1 + 0.75) = 1 foot × 1 + 1 foot × 0.75 = 1 foot + 1.75 feet.

Therefore, \(1\frac{3}{4}\) feet as a multiplication expression using the unit, 1 foot, as a factor is \(1\frac{3}{4}\)×1.

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Step-by-step explanation:

1ft=12in

1¾ft=x

x=12×7/4=21in

1¾ft=1¾×1 ft

Answer:

Option B and F.

Step-by-step explanation:

Given that the terms x, x-3 and x+1, are the factors of the polynomial, therefore the roots are calculated by equating the factors to zero,

\(x = 0\)

x - 3 = 0 ➡️ x = 3

x + 1 ➡️ x = -1

Plus, the polynomial has the zeroes -1, 0 and 3.

It means that the curve of the graph should intersect the x-axis at x = 0, x = 1, and x = 3.

Now select the graphs which pass through (-1, 0), (0, 0) and (3, 0).

It is observed that the graphs in options B and F follow this path.

So the correct choices are option B and F.

(a). The graph of y = -f(x) is shown in the image below.

(b). The graph of y = g(-x) is shown in the image below.

By reflecting the parent absolute value function g(x) = |x + 2| - 4 over the x-axis, the transformed absolute value function can be written as follows;

y = -f(x)

y = -|x + 2| - 4

Part b.

In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):

y - y₁ = m(x - x₁)

Where:

First of all, we would determine the slope of this line;

Slope (m) = rise/run

Slope (m) = -2/4

Slope (m) = -1/2

At data point (0, 5) and a slope of -1/2, a linear equation for this line can be calculated by using the point-slope form as follows:

y - y₁ = m(x - x₁)

y - 5 = -1/2(x - 0)

g(x) = -x/2 + 5, -4 ≤ x ≤ 4.

y = g(-x)

y = x/2 + 5, -4 ≤ x ≤ 4.

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Answer:

Step-by-step explanation:

11

8

7

4

Answer:

4250 m

Step-by-step explanation:

1 day = 850

5 days = 850×5

= 4250

You have to replace the variables with the given vlaues c=2 and d=-2

Step-by-step explanation:

\(x < \frac{6}{7} \)

All the fractions which less than (6/7) will be true

The steps of the solution in the above photo

I hope that is useful for you :)

Answer:

1/2 times 1/3

Step-by-step explanation:

Multiply  them and you get 1/6 which is less than 2/7.

Answer:

45 mins

Step-by-step explanation:

Answer:

Line

Step-by-step explanation:

Answer:

LIIIIINE

Step-by-step explanation:

Answer:

x/7+12

Step-by-step explanation:

One seventh refers to 1/7.

Since we do not know what "a number" is it, it is written as "x."

Whenever you see the word "increased" think addition.

So in this case,

x / 7 + 12

right

L shaped angles are right angles

Acute angles are angles below 90 degrees, so think of a really skinny V shape

Obtuse angles are over 90 degrees, so wider than an L

Area of a circle is PI x r^2

The radius of the large circle is shown as 8 m

The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m

The radius of the small circle would be 2m

Area of large circle = pi x 8^2 = 64pi = 200.96 square m

Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.

Area of small circle = pi x 2^2 = 4pi = 12.56 square m.

The area of the shaded region = large - middle + small

Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.

Answer: A

Step-by-step explanation:

Volume= LxWxH so we get 20x28x24 as given.

Volume= 13,440 which is the volume of the box given. ANd so if the box is 10,500cubic inches, we subtract to find the difference.

13,440-10,500= 2,940 Cubic Inches

Option A

Answer:

Part A:  13440 cubic inches.

Part B: A - 2940 cubic inches.

Step-by-step explanation:

The volume of the box = 24x20x28 = 13440 cubic inches.

The problem tells us that his gift is 10,500 cubic inches. So subtract that from the volume of the box.

13440-10500 = 2940 cubic inches. The answer is A.

Answer:

Step-by-step explanation:

They should purchase the $369 one with the $9 plan.

330 + (14x8) =442

369+ (9x8) = 441

Hope this helps!

Answer:

rational functions that model the average annual cost of each television if it is owned for x years, such as f(x)= (330+14x)/x and

g(x)= (369+9x)/x

calculation proving that over 8 years, the annual cost for the $330 television is $55.25; for the $369 television, it is $55.13

statement that the Gordons should buy the $369 television because it is less expensive overall

Step-by-step explanation:

edge 2022

Answer:

1 tick mark represents 0.25 unit

Step-by-step explanation:

it goes -2.5 (tick) -2 (tick) -1.5 (tick) -1 (tick) -0.5 (tick) 0

take 2 adjacent points

1 tick mark = -2.0 -(-2.5) = +0.5 or

+0.5 - 0 = +0.5

Answer:

Below,

Step-by-step explanation:

(a) f is not defined  when x = 2 because this would make the denominator =  zero.

(i)  f-1 is the inverse of f.

Let y = (x + 1)/(x - 2)

y(x - 2) = x + 1

xy - 2y = x + 1

xy - x = 2y + 1

x(y - 1) = 2y + 1

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

Replace x by f-1 and y by x , we get:

f-1 = (2x+ 1)(x - 1)

(ii)  f-1 is not defined when x = 1 , as this makes the denominator zero.

The step in which the subtraction property of equality was applied to solve the equation is given as follows:

D. The subtraction property of equality was not applied to solve this equation.

The subtraction property of equality states that subtracting the same number from both sides of an equation does not affect the equality, and hence it is used to isolate a variable that is adding on a side of the expression.

For this problem, to remove the term -7, we add 7 to both sides of the expression, hence the addition property of equality was applied.

In the other step, the multiplication property was applied, hence option D is the correct option for this problem.

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Answer:5

Step-by-step explanation:

The equation be 2x² - 3x - 5 then the value of x = -1.

Let a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

Part A: Let f(x) = 0 and solve for x to get the x-intercepts.

Given the function 2x²-3x - 5 = 0

Factor to get (2x - 5) (x + 1) = 0

then 2x - 5 = 0 and x = 2.5x + 1 = 0 and x = -1

These are the x-intercepts.

Part B: As the coefficient of the \($$x^2\) term exists positive, the parabola opens up, and the vertex exists at a minimum. The coordinates of the parabola exist given by -b/2a, f( -b/2a)

where a and b represent the coefficients of a parabola in the standard form ax² + bx +c = 0.

In this case a = 2, b = -3 and c = -5.

So -b/2a = 3 / 4

f(-b/2a) = \(2 * (3/4)^2 -3 * (3/4) - 5\) = -6.125.

The coordinates of the vertex exist (3/4, -6.125)

Part C: I will give them a minimum from completing the square

y = \($$2(x - 0.75)^2\) - 6.125

as x approaches + ∞, y approaches + ∞.

as x approaches - ∞, y approaches + ∞.

It's a quadratic.

The y values go to + ∞ when x goes from - ∞ to + ∞.

Part D: The graph is as follows:

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Answer:

\(m=-8/3\), the options are wrong

Step-by-step explanation:

\(3m-4-\frac{3}{2}m+8=0 \\ \\ 6m-8-3m+16=0 \\ \\ 3m+8=0 \\ \\ m=-\frac{8}{3}\)

The question is incorrect.

The dot plot consists of ten dots, each representing the data value of a single person at the talk. The data values are spread out as far as possible, resulting in the largest possible standard deviation.

A dot plot is a graph that is used to represent the distribution of data. It consists of dots, each of which represents a single data value. In this case, the dot plot represents the distribution of possible data values from a talk with ten people. To achieve the largest possible standard deviation, the data points should be spread out as far as possible. Each dot should be placed on the graph in such a way that the difference between any two adjacent data points is maximized. This is done by placing the highest and lowest values at opposite ends of the graph, and then evenly spacing out the remaining data points in between. All of this should result in the largest possible standard deviation of the data set.

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The temperature at the bottom of the mountain is 50.9 °C.

Let's work through the given information step by step to find the temperature at the bottom of the mountain.

The temperature in the hotel is 21 °C.

The temperature in the hotel is 26.7 °C warmer than at the top of the mountain.

Let's denote the temperature at the top of the mountain as T_top.

So, the temperature in the hotel can be expressed as T_top + 26.7 °C.

The temperature at the top of the mountain is 3.2 °C colder than at the bottom of the mountain.

Let's denote the temperature at the bottom of the mountain as T_bottom.

So, the temperature at the top of the mountain can be expressed as T_bottom - 3.2 °C.

Now, let's combine the information we have:

T_top + 26.7 °C = T_bottom - 3.2 °C

To find the temperature at the bottom of the mountain (T_bottom), we need to isolate it on one side of the equation. Let's do the calculations:

T_bottom = T_top + 26.7 °C + 3.2 °C

T_bottom = T_top + 29.9 °C

Since we know that the temperature in the hotel is 21 °C, we can substitute T_top with 21 °C:

T_bottom = 21 °C + 29.9 °C

T_bottom = 50.9 °C

Therefore, the temperature at the bottom of the mountain is 50.9 °C.

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Answer:

7/24

Step-by-step explanation:

1/8 + 1/6

First get a common denominator of 24

1/8 * 3/3 = 3/24

1/6 * 4/4 = 4/24

3/24 + 4/24 = 7/24

Answer:

x = 16

Step-by-step explanation:

step 1 - 64 + 100 + x = 180 (all triangles equals 180)

step 2 - 164 + x = 180

step 3 - 164 + x = 180

-164. -164

step 4 - 180 - 164 = 16

step 5 - 100 + 64 + 16 = 180

(I do this part to double check my work)

step 6 - x = 16

Answer:

Step-by-step explanation:

The ratio: