(36+4) divided by 10 how do I write it in a story problem

Answer:B

Step-by-step explanation:

Answer:

75

Step-by-step explanation:

Answer:

ln(28.1) ≈ 3.336

log(2/5) ≈ -0.398

Step-by-step explanation:

In this question, we are asked to find the natural log of 28.1 and the log base 10 of 2/5, rounded to the nearest thousandth.

The natural log of a number x is what power the constant e is raised to to get x.

For example,

ln(e²) = 2

We can approximate ln(28.1) by inputting it into a calculator.

ln(28.1) ≈ 3.33576957634

Then, we can round this to the nearest thousandth.

ln(28.1) ≈ 3.336

Notice how the 7 in the ten-thousandths place is greater than or equal to 5, so we round the thousandths place digit up to 6.

__

The log base 10 of a number x is what power the number 10 is raised to to get x. However, note that since log base 10 is the "common log" the base of 10 is not always specified.

log(2/5) ≈ -0.398

Notice how the output is negative, since 2/5 is less than 1 (and any number to the zeroth power is 1).

Answer:

\(\boxed{\bf {{No\:Solution}}}\)

Step-by-step explanation:

\(\bf 4(9x+6)=36x-7\)

Expand: Apply Distributive proprty:

\(\bf 36x+24=36x-7\)

\(\boxed {\bf \sf {Subtract\:}24\sf {\:from\:both\:sides}}\)

\(\bf 36x+24-24=36x-7-24\)

\(\bf 36x=36x-31\)

\(\boxed {\sf {Subtract\:}36x\sf {\:from\:both\:sides}}\)

\(\bf 36x-36x=36x-31-36x\)

\(\bf 0=-31\)

Because the sides are not equal there is no Solution

Toby cycles 12 miles each day.

To find out how far Toby cycles each day, we need to add up the distance he covers during his morning and afternoon trips. Here are the steps we need to follow:

Step 1: Determine Toby's cycling distance from his house to his schoolDistance from Toby's house to his school = 4 miles west. Toby bicycles this distance every day. Therefore, his one-way cycling distance from home to school is 4 miles.

Step 2: Determine Toby's cycling distance from his school to Erica's house.Distance from Toby's school to Erica's house = 3 miles south. Toby cycles this distance every day after school. Therefore, his one-way cycling distance from school to Erica's house is 3 miles.

Step 3: Determine Toby's cycling distance from Erica's house to his house.Distance from Erica's house to Toby's house = we don't know. But we know that Toby takes a bike path that goes straight from Erica's house to his own house. Therefore, we can assume that the distance from Erica's house to Toby's house is the hypotenuse of a right-angled triangle with legs of 3 miles (south) and 4 miles (west).

We can use the Pythagorean Theorem to find the hypotenuse: c2 = a2 + b2c2 = 32 + 42c2 = 9 + 16c2 = 25c = √25c = 5 milesTherefore, Toby cycles 5 miles every day on his bike path from Erica's house to his own house.Step 4: Add up Toby's one-way cycling distances to find out how far he cycles each day.Toby's one-way cycling distance from home to school = 4 milesToby's one-way cycling distance from school to Erica's house = 3 milesToby's one-way cycling distance from Erica's house to his house = 5 milesTotal cycling distance = 4 + 3 + 5Total cycling distance = 12 miles.

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Answer:

1. t = 21

2. s = 2

3. c = 6

4. v = 45

Step-by-step explanation:

1. t - 19 = 2

*Add 19 to both sides.

t = 21

2. 1 + s = 3

*Subtract 1 from both sides.

s = 2

3. 24 = 4c

*Divide each side by 4.

6 = c

4. v/5 = 9

*Multiply each side by 5.

v = 45

Answer:

$290

Step-by-step explanation:

370-80=290

$290

Answer:

29

Step-by-step explanation:

Answer:

2 is your answer

Step-by-step explanation:

Answer:

Ordered Pair An ordered pair is a composition of the x coordinate (abscissa) and the y coordinate (ordinate), having two values written in a fixed order within parentheses. It helps to locate a point on the Cartesian plane for better visual comprehension. The numeric values in an ordered pair can be integers or fractions.

Step-by-step explanation:

i hope this helped! :)

Answer:

An ordered pair contains the coordinates of one point in the coordinate system. A point is named by its ordered pair of the form of (x, y). The first number corresponds to the x-coordinate and the second to the y-coordinate. To graph a point, you draw a dot at the coordinates that corresponds to the ordered pair.

Step-by-step explanation:

Answer:

Not possible to answer.

The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.

The base of a ladder should be set out a distance equal to 1/4 the height to the point of support.

Determine the height to the point of support (H).
Calculate the appropriate distance for the base of the ladder by using the formula: Distance = 1/4 * H.
Set the ladder's base at the calculated distance from the wall or support.

The base of a ladder should be set out a distance equal to one-fourth (1/4) the height to the point of support. This ensures stability and safety while using the ladder. It is important to pay attention to this detail when using a ladder to prevent accidents and injuries.
                                This guideline ensures that the ladder is placed at a safe angle to prevent it from slipping or falling.

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Answer:

The answers are

A. The measure of angle 6 is 20"

B. The measure of angle 5 is 70"

F. Angles 1 and 4 are supplementary

Hope this Helps!

Answer:

1,2,6

Step-by-step explanation:

ON EDGE.2020

Answer:

=51.63 m^2

Step-by-step explanation:

First find the area of the triangle

A = 1/2 bh = 1/2(3) * 5 = 7.5

Then find the area of the rectangle

A = l*w = 5*6 = 30

Then find the area of the semi circle, which is 1/2 the area of the circle

The diameter is 6 so the radius is 3

A = 1/2  pi r^2 = 1/2 (3.14) (3) ^2 = 14.13

Add the areas together for the total area

7.5+30+14.13

=51.63

The area of the playground is  y² - 2y - 8

Area of a rectangle is expressed as:

Area of the rectangle = LW

Given

L is the length = y + 2

W is the width = y - 4

Substitute the given expression into the formula

A = (y+2)(y-4)

A = y² - 4y + 2y - 8

A =  y² - 2y - 8

Hence the area of the playground is  y² - 2y - 8

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The inverse function of f(x) = (x + 2)/(x - 3) is given as follows:

\(f^{-1}(x) = \frac{3x + 2}{x - 1}\)

The function in this problem is defined as follows:

f(x) = (x + 2)/(x - 3).

Using the notation y = f(x), it is given as follows:

y = (x + 2)/(x - 3).

To obtain the inverse, the first step is exchanging the variables x and y, as follows:

x = (y + 2)/(y - 3).

Now the variable y must be isolated to obtain the inverse function, as follows:

xy - 3x = y + 2

xy - y = 3x + 2

y(x - 1) = 3x + 2

y = (3x + 2)/(x - 1).

Hence the inverse function is given by:

\(f^{-1}(x) = \frac{3x + 2}{x - 1}\)

Meaning that the fourth option is correct.

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To evaluate dy/dt given the equation y³ = 2x² + 14, along with dx/dt = 3, x = 5, and y = 4, we can use implicit differentiation and substitute the given values.

dy/dt is approximately equal to 0.51 (rounded to two decimal places).

To explain the solution, let's start by differentiating both sides of the equation implicitly with respect to t:

3y²(dy/dt) = 4x(dx/dt)

Now, we substitute the given values x = 5, y = 4, and dx/dt = 3 into the equation:

3(4)²(dy/dt) = 4(5)(3)

Simplifying this expression, we have:

48(dy/dt) = 60

Dividing both sides by 48, we find:

dy/dt = 60/48 = 1.25

Therefore, dy/dt is approximately equal to 1.25. Rounded to two decimal places, the value is 0.51.

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Perimeter of the soccer field is 306 meters.

A shape's perimeter  is defined as the total length of its bounds. The perimeter of a shape is determined by summing all sides and side lengths that enclose the shape. It is measured in linear measurement units such as centimeters, meters, inches, and feet.

Given,

Length of the soccer field = 98 meters

Width of the soccer field = 55 meters wide

Perimeter of rectangle = 2(Length + Width)

Perimeter of soccer field = 2(98 + 55)

Perimeter of soccer field = 2(153)

Perimeter of soccer field = 306 meters

Hence, 306 meters is the perimeter of the soccer field.

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To find the limit of f(x) as x approaches 0, we substitute 0 into the function and evaluate the expression. When we substitute x = 0 into the function f(x), we get: f(0) = 6(0)(0-2)(0^4)/(2(0)(0-2)^2(0-3))

The denominator of the expression becomes 2(0)(0-2)^2(0-3) = 0. Since division by zero is undefined, we cannot directly evaluate the limit by substituting x = 0 into the function. To determine the limit, we need to consider the behavior of the function as x approaches 0 from both the left and right sides.

We can analyze the factors in the numerator and denominator to gain insight into the limit's value.The term (x-2)^2 in the denominator approaches 0 as x approaches 0. Additionally, the factors (x-2) and (x-3) in the denominator also approach 0 as x approaches 0. However, in the numerator, the factors (x-2) and (x-3) in the first term cancel out with the corresponding factors in the denominator.

Therefore, after simplification, the limit of f(x) as x approaches 0 is 6 * 0 * 1 / 0 = 0/0, which is an indeterminate form. Further algebraic manipulation or application of L'Hôpital's rule may be necessary to determine the exact value of the limit.

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Answer:

A, 22

Step-by-step explanation:

DOF-DOE=EOF

50-28=22 degrees

Answer:

A=22

Step-by-step explanation:

∠DOF=∠DOE+∠EOF

so ∠EOF=∠DOF-∠DOE=50°-28°=22°

Answer:

Probability ≈ 0.0714

Step-by-step explanation:

Consider permutation and combination;

\(Total Combinations - 8C4,\\8C4 = 8! / 4! * ( 8 - 4 )!,\\8 * 7 * 6 * 5 / 4!,\\\\Total Combinations = 70,\\\\Combinations of Dance Classes - 5C4,\\5C4 = 5! / 4! * ( 5 - 4 )!,\\5 * 4 * 3 * 2 * 1 / 4 * 3 * 2 * 1,\\\\Dance Classes = 5,\\\\Probability - 5 / 70 = 0.0714,\\Conclusion; Probability = ( About ) 0.0714\)

The equation of the parabola is: y = 0.55(x - 8)^2 - 55. To find the equation of the parabola, we first need to find the vertex form:

y = a(x - h)^2 + k

where (h, k) is the vertex of the parabola.

Since the parabola passes through the point (3, -30), we can substitute these values into the equation to get:

-30 = a(3 - h)^2 + k

We also know that the x-intercepts are -2 and 18. This means that the parabola intersects the x-axis at (-2, 0) and (18, 0), which gives us the following two equations:

0 = a(-2 - h)^2 + k

0 = a(18 - h)^2 + k

Simplifying these equations, we get:

4a(h + 2)^2 = 4ak

324a(h - 18)^2 = 4ak

Dividing these equations, we get:

81(h + 2)^2 = (h - 18)^2

Expanding this equation, we get:

81h^2 + 2916h + 2916 = h^2 - 36h + 324

Simplifying, we get:

80h^2 + 2940h - 2592 = 0

Solving for h using the quadratic formula, we get:

h = (-b ± sqrt(b^2 - 4ac)) / 2a

h = (-2940 ± sqrt(2940^2 - 4(80)(-2592))) / 2(80)

h = (-2940 ± 4248) / 160

h = 9.675 or -5.175

Since the parabola has x-intercepts at -2 and 18, we know that the vertex must be halfway between these two points, which is:

h = (18 - 2) / 2 = 8

Substituting this value of h into the equation -30 = a(3 - h)^2 + k, we get:

-30 = a(3 - 8)^2 + k

-30 = 25a + k

Substituting h = 8 and solving for k, we get:

-30 = 25a + k

-30 = 25a + k

-30 = 25a + k

-30 = 25a + k

-30 = 25a + k

-30 = 25a + k

k = -55

Therefore, the vertex form of the parabola is:

y = a(x - 8)^2 - 55

To find the value of a, we can use one of the x-intercepts:

0 = a(-2 - 8)^2 - 55

55 = 100a

a = 0.55

Therefore, the equation of the parabola is: y = 0.55(x - 8)^2 - 55

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Answer: 24 pages

Step-by-step explanation:

10 times 24 equals 240

Answer:

Janet has to read 24 pages.

Hallie has to read 240 pages.

Step-by-step explanation:

If Janet has to read n pages, then Hallie has to read 10×n.

Together they have to read 11 × n = 264 pages, so: n=264÷11=24.

Hope this helps

Answer:

nasa pic yung answer

Step-by-step explanation:

hope its help

correct me if im wrong

Answer:

x=-3 x=-3

Step-by-step explanation:

You have the equation x^2+6x+9=0. So we are tying to find two terms that add to 6 but multiply to 9. Those numbers are 3 and 3. So now we have x^2+3x+3x+9=0. Then factor it to get (x+3) and (x+3) then to isolate x do x+3=0, x=-3 (move 3 to the other side to get x=-3).

Answer:

C. 20

8 cycles for 1 inch, times 2 is 16, + 4 is 20

To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

Unemployment is a time period regarding people who are employable and actively looking for a process but are not able to discover a process. blanketed in this institution are the ones people in the group of workers who are working but no longer have the precise job.

The situation of now not having a task but being a member of the labor pressure. To be considered unemployed, someone must be jobless but actively trying to find a task by having searched within the last 4 weeks.

Hence, To be categorized as unemployed, a person has to be without a process, presently available to work, and actively seeking out work within the previous 4 weeks.

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complete question:

how do economists define unemployed workers? group of answer choices although currently working, they are not happy with their current job working on contract for a limited time not currently working not currently working but actively searching for work

Answer:

it is literally 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

thats simple..........

To find the mass of the water in the tank, we need to multiply the volume of the tank by the density of water. The volume of the tank can be found by multiplying its height, length, and width. we can use the formula:

Mass = Density * Volume

First, let's calculate the volume of the tank. The tank has dimensions of 2.4 m (height), 6 m (length), and 1.5 m (width).

Volume = height * length * width
             = 2.4 m * 6 m * 1.5 m
             = 21.6 cubic meters

Now, let's substitute the density of water and the volume into the formula to find the mass:

Mass of water = Volume of the tank * Density of water

Mass = 1,000 kg/m³ * 21.6 m³
         = 21,600 kg

Therefore, the mass of the water in the tank is 21,600 kg.

The correct answer is D. 21,600 kg.

In summary, the mass of the water in the tank is determined by the volume of the tank and the density of water. By multiplying the volume by the density, we can find the mass. In this case, the mass is 21,600 kg.

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Answer:

|3x+4| +6

Step-by-step explanation:

f(x) = |3x+4| +2

g(x) =4

f(x) + g(x) =  |3x+4| +2 +4

               =  |3x+4| +6