Take this decimal and express it in fraction and percentages.
.19

9x^3 + 4x^2 + 5

Explanation:

Let's simplify step-by-step.

6x^2−3−5x^3−(4x^3+2x^2−8)

Distribute the Negative Sign:

=6x^2−3−5x^3+−1(4x^3+2x^2−8)

=6x^2+−3+−5x^3+−1(4x^3)+−1(2x^2)+(−1)(−8)

=6x^2+−3+−5x^3+−4x^3+−2x^2+8

Combine Like Terms:

=6x^2+−3+−5x^3+−4x^3+−2x^2+8

=(−5x^3+−4x^3)+(6x^2+−2x^2)+(−3+8)

=−9x^3+4x^2+5

Step-by-step explanation:

the function

Kendal(x) = y = 90

is just a flat line (that's why people call it a flat rate). it does not matter how many hours it takes, it costs the same.

the function

Mona(x) = 10x + 70

as we know, $10 per hour, plus $70 for the material, which is the same cost no matter how many hours it takes.

the solution, when both cost the same, means again both functions are equal at that point :

90 = 10x + 70

20 = 10x

x = 20/10 = 2 hours

after 2 hours both cost the same : $90.

the graphic should look like the attached picture.

the flat line is at y = 90. that means it is a horizontal line that goes through the y gridline marker 90.

just draw the line along the y 90 gridline from left to right.

Mona's graph goes through the solution point (2, 90) and the point for x = 0 : (0, 70) because y = 10×0 + 70 = 70.

for (0, 70) you go from 0 the y-axis straight up to the gridline marker 70 and mark the point there.

for (2, 90) you go on the x-axis from 0 to the right to the gridline marker 2. from there you go straight up to the y gridline 90. and you mark the point there.

and both lines intersect at (2, 90), which is the solution.

can you see and understand it now how that works ?

The cost is $90

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

The function for Kendal(x) is:- y = 90

The function for Mona(x) :- 10x + 70

$10 per hour, plus $70 for the material

The solution, when both cost the same, means again both functions are equal at that point :

90 = 10x + 70

20 = 10x

x = 20/10 = 2 hours

after 2 hours both cost the same : $90.

Graph the lines both lines intersect at (2, 90), which is the solution.

Hence, the cost is $90

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We are asked to graph the following parabola

Let us compare this equation with the standard vertex form.

The vertex is the point (h, k)

So, the vertex of the given equation is (-2, -5)

Now let us find the y-intercept.

Substitute x = 0 into the given equation

So, the y-intercept point is (0, -1)

Now let us find the x-intercepts.

Substitute y = 0 into the given equation

Use the quadratic formula to solve the above quadratic equation

Where a = 1, b = 4 and c = -1

So, the x-intercepts are (0.236, 0) and (-4.236, 0)

Now let us plot all these points and sketch the graph of the parabola

The equation represents this relationship between the variables 'x' and 'y' will be y = -2x.

A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.

If y varies directly from x. Then the proportionality is given as,

y ∝ x

If the proportionality signature is removed then a constant is introduced. Then the equation is given as,

y ∝ x

y = kx

The constant of variation is -2. Then the equation is given as,

y = - 2x

The equation represents this relationship between the variables 'x' and 'y' will be y = -2x.

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Answer:

4 + 2/3 hours

Step-by-step explanation:

For the expert,

6 hours = 1 job

For the secretary,

7 hours = 1 job

We want to figure out how much the expert gets done in 2 hours.

2 hours = x jobs for the expert.

To turn 6 hours = 1 job into this, we can multiply both sides of the equation by 2 (the number we want to get to) / 6 (the number we are at) to get

6 hours * 2/6 = 1 job * 2/6

2 hours = 2/6 jobs

Therefore, the expert does 2/6 of the job, and 1-2/6 = 4/6 of the job is left for the secretary. We want to figure out how long it takes for her to complete the job

We know

7 hours = 1 job

and want to figure out

y hours = 4/6 jobs

We can multiply both sides of the original equation by (4/7) (the number we want to get to) / 1 (the number we are at) to get

7 hours * 4/6 = 1 job * 4/6

28 /6 hours = 4/6 jobs

= 4 + 4/6 hours

= 4 + 2/3 hours

Answer:759

Step-by-step explanation:

Answer:

\(\frac{8}{15}\) of a mile

Step-by-step explanation:

To find a segment of a fraction, you must first find the LCM of each value's denominator:

LCM - Lowest Common Multiple

The lowest common multiple is the number that shows up first in each number's multiple set.

Example: LCM of 4 and 6

Multiples of 4: 4, 8, 12, 16, 20

Multiples of 6: 6, 12, 18, 24, 30

Because 12 is the first number to show up in each multiple set, 12 is the LCM.

So, to be able to solve this problem easy, do the same with 5 and 3:

5, 10, 15, 20, 25

3, 6, 9, 12, 15

Since 15 is the first number in both sets, 15 is the LCM.

The next step is to multiply \(\frac{4}{5}\) by \(\frac{x}{x}\), x being the value that can be multiplied with the denominator to equal 15:

\(\frac{4}{5}\) × \(\frac{3}{3}\) = \(\frac{12}{15}\)

To find how much \(\frac{2}{3}\) of \(\frac{12}{15}\) is, multiply the fractions together:

\(\frac{12}{15}\) × \(\frac{2}{3}\) = \(\frac{24}{45}\)          

Simplify the fraction by dividing the numerator and denominator by 3.

\(\frac{24}{45}\) ÷ \(\frac{3}{3}\) = \(\frac{8}{15}\)

Because the fraction can't be simplified any further, Aimee has walked a total of \(\frac{8}{15}\) of a mile.

Answer:

10 =x

Step-by-step explanation:

-90 = -100 + x

Add 100 to each side to isolate x

-90+100 = -100+100 + x

10 =x

The volume of a rectangular prism is 8/15 in³ option - A is correct.

Therefore, the area of the base of a rectangular prism is multiplied by the height to determine its volume. The formula for calculating a rectangular prism's volume is Volume (V) = height of the prism base area. It is measured in cubic units like cm³, m³, and in³.

The Rectangular Prism's Volume Formula

The volume of a prism can be calculated by dividing the base area by the height. Consequently, a prism's volume is equal to its base area times its height.

The equation for calculating a rectangular prism's volume is

V = l × w × h

V = 1/2 in × 8/3 in ×2/5 in

V = 8/15 in³.

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The expression that represent the perimeter of the triangle is 3d² - 4d + 1.

The perimeter of any two-dimensional figure is simply the distance around the figure.

Hence, the perimeter of the triangle is the sum of all its 3 side lengths.

From the diagram:

Side length 1 = ( d² + 3 )

Side length 2 = ( 4d² + 3d - 2 )

Side length 3 = ( -2d² - 7d )

Hence, the perimeter of the triangle will be:

Perimeter = side length 1 + side length 2 + side length 3

Plug in the expressions

Perimeter = ( d² + 3 ) + ( 4d² + 3d - 2 ) + ( -2d² - 7d )

Collect and add like terms:

Perimeter = d² + 3 + 4d² + 3d - 2 + -2d² - 7d

Perimeter = d² + 4d² - 2d² + 3d - 7d + 3 - 2

Perimeter = 3d² - 4d + 1

Therefore, the perimeter is 3d² - 4d + 1.

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The total time taken for the entire journey is 2.8 hours.

To calculate the total time taken for the entire journey, we can use the formula:

Time = Distance / Speed

For the first part of the journey, the car travels a distance of 112 km at an average speed of 70 km/h. Using the formula, the time taken for this part is:

Time1 = 112 km / 70 km/h = 1.6 hours

For the second part of the journey, the car travels a further distance of 60 km at an average speed of 50 km/h. Again, using the formula, the time taken for this part is:

Time2 = 60 km / 50 km/h = 1.2 hours

To find the total time for the entire journey, we sum up the times for both parts:

Total Time = Time1 + Time2 = 1.6 hours + 1.2 hours = 2.8 hours

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The measure of other angles of the triangle in degrees are 90 and 50 degrees

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

Triangle = right triangle

Angle = 40 degrees

The sum of angles in a triangle is 90 degrees

using the above as a guide, we have the following:

40 + 90 + Other angle = 180

Evaluate

Other angle = 50

Hence, the other angle = 50 degrees

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The value of f(5) is positive

At f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, the values of x are [-2, 1]

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

The graph

On the graph, we have

f(5) = 1

This means that f(5) is positive

Also, we have

When f(x) = 0, the value of x is 1

For the interval f(x) ≤ 0, we have the values of x to be

-2 ≤ x ≤ 1

When represented as an interval, we have

[-2, 1]

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Answer:

09

Step-by-step explanation:

09

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The rate at which the oil burns.

1 hour = 2/3 ounce

At 12 noon = 193/3 = 64.33 ounces

At 2 pm = 63 ounces

At 5 pm = 61 ounces

The amount of oil at 12 noon is 64.33 ounces.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.

At 2 p.m., the amount of oil left in the lantern is 63 ounces.

At 5 p.m., the amount of oil left in the lantern is 61 ounces.

This means,

Amount of oil burnt in the lantern from 2 pm to 5 pm.

= 63 ounces - 61 ounces
= 2 ounces

Now,

3 hours = 2 ounces

2 hours = 1.33 ounces

1 hour = 0.67 ounces

Now,

The number of hours from 12 noon to 2 pm.

= 2 hours

So,

The amount of oil at 12 noon.

= 63 + 4/3

= (189 + 4) / 3

= 193/3 ounces

Thus,

The amount of oil at 12 noon is 65 ounces.

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Answer:

s = 6 m

Step-by-step explanation:

The value of the velocity v is given as:

\(v = \frac{ds}{dt} = 6 sin(2t)\) m/s

To find s, we have to integrate and apply the initial values of s = o when t = 0:

\(\frac{ds}{dt} = 6 sin(2t)\\\\\int\limits^s_0 {ds} = \int\limits^t_0 {6sin(2t)} \, dt\\\\s|^s_o = -3cos(2t)|^t_o\\\\s - 0 = -3cos(2t) -(-3cos(0))\\\\s = -3cos(2t) + 3(1)\\\\s = -3cos(2t) + 3\)

When t = π/2, s will be:

s = -3cos(2 * π/2) + 3

s = -3cos(π) + 3

s = -3(-1) + 3

s = 3 + 3

s = 6 m

For the given data, the range, variance, and standard deviation is 1.47, 0.1716, and 0.414, respectively.

To find the range, subtract the minimum value from the maximum value in the set of data. The minimum value is 0.48 and the maximum value is 1.95, so the range is: 1.95 - 0.48 = 1.47.

To find the sample variance, follow these steps.

1. Calculate the mean of the data set.

2. Subtract the mean from each value in the data set.

3. Take the summation of the squares of the result.

4. Divide the sample size minus 1.

Upon calculation, the sample variance is 0.1716.

Lastly, to find the sample standard deviation, take the square root of the sample variance: √0.1716. = 0.414.

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You need to multiply by 5 instead of 6 because each pair of opposite faces on a cuboid has the same area, so by considering one face from each pair, you ensure that you don't count any face twice.

When calculating the total surface area of a cuboid, you need to understand the concept of face pairs.

A cuboid has six faces, but each face has a pair that is identical in size and shape.

Let's break down the reasoning behind multiplying by 5 instead of 6 in the given scenario.

To find the surface area of a cuboid, you can add up the areas of all its faces.

However, each pair of opposite faces has the same area, so you avoid double-counting by only considering one face from each pair. In this case, you have five pairs of faces:

(1) top and bottom, (2) front and back, (3) left and right, (4) left and back, and (5) right and front.

By multiplying the average area of a pair of faces by 5, you account for all the distinct face pairs.

Essentially, you are considering one face from each pair and then summing their areas.

Since all the pairs have the same area, multiplying the average area by 5 gives you the total surface area.

When dividing 150 by 4 (to find the average area of a pair of faces), you are essentially finding the area of a single face.

Then, by multiplying this average area by 5, you ensure that you account for all five pairs of faces, providing the total surface area of the cuboid.

Thus, multiplying by 5 is necessary to correctly calculate the total surface area of the cuboid by accounting for the face pairs while avoiding double-counting.

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Answer:

(1, 0.5)

Step-by-step explanation:

i just used order of operations calculator

Solving the equation with elimination method, I got x=1, y= 1/2

Pair (1.00, 0.50)

The correct representations of the inequality are  -6x + 15 < 10 - 5x and x <-5. Options C and D

Inequalities are described as mathematical relations that makes a non-equal comparison between two elements, variables, numbers or mathematical expressions.

They are often used to compare two numbers on the number line based their sizes.

From the information given, we have the inequality;

–3(2x – 5) < 5(2 – x)

expand the bracket

-6x + 15 < 10 - 5x

collect like terms

-6x + 5x < 10 - 15

add or subtract the like terms

-x < -5

Make 'x' the subject of formula

x < 5

Hence, the value is -6x + 15 < 10 - 5x

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The complete question:

Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.

Answer:

Gina has 5 large shipping boxes and 6 small shipping boxes.

Step-by-step explanation:

32 items to ship and 11 shipping boxes.

Large=4 items

4 X 5 = 20

Small=2 items

2 X 6 = 12

20 + 12 = 32

Answer:

The answer is

Step-by-step explanation:

Since the cardboard box is a cube all it's sides are equal

Volume(V) of a cube = l³

where l is the length of one side

From the question

\(V = \frac{125}{8} \: {ft}^{3} \)

The length of each side of the cardboard box is

\( {l}^{3} = \frac{125}{8} \\ \sqrt[3]{ {l}^{3} } = \sqrt[3]{ \frac{125}{8} } \\ l = \frac{5}{2} \)

We have the final answer as

\( \frac{5}{2} \: \: \: feet \\ \)

Hope this helps you

Answer:

5/2 ft

Step-by-step explanation:

The volume of a cube is calculated by the following formula.

Rewrite the formula in terms of the side, as shown.

It is given that the volume of the cardboard box is ft3. Substitute this value into the equation to determine the length of each side of the cardboard box.

Therefore, the length of each side of the cardboard box is 2.5 ft.

Answer:

3rd option

Step-by-step explanation:

One of our exponent rules tells us that \((\frac{x}{y} )^{z}\) =  \(\frac{x^{z} }{y^{z} }\). So, knowing that exponent rule, we know that it has to be the third option. But what if we didn't know that rule? Then how could we solve this?

We know that 3/2 = 1.5. Do some math and you can figure out that 1.5^3 is 3.375. If we were to evaluate expression number 3, we would get 27/8, which, if you were to further evaluate it, you would also get 3.375.

Let me know if you have any questions!

Answer:

x = 35

Step-by-step explanation:

since the figures are similar then the ratios of corresponding parts are in proportion, that is

\(\frac{x}{10}\) = \(\frac{14}{4}\) = \(\frac{7}{2}\) ( cross- multiply )

2x = 7 × 10 = 70 ( divide both sides by 2 )

x = 35

\(\\ \sf\longmapsto tan28=\dfrac{BC}{AC}\)

\(\\ \sf\longmapsto 0.5317=\dfrac{BC}{29.3}\)

\(\\ \sf\longmapsto BC=29.3(0.5317)\)

\(\\ \sf\longmapsto BC=15.5mi\)

Now

\(\\ \sf\longmapsto AB^2=29.3^2+15.5^2\)

\(\\ \sf\longmapsto AB^2=848.49+240.25\)

\(\\ \sf\longmapsto AB^2=1088.74\)

\(\\ \sf\longmapsto AB=32.9mi\)

Answer:

Multiply 3 on both sides.

Step-by-step explanation:

Subtract 22 on both sides so that the positive 22 can be canceled out and that the variable and one other number is left.

\(\frac{f}{3} + 22 = 17\)

  \(-22\)   \(-22\)

You should then get this equation:

\(\frac{f}{3} = -5\)

Since there is division involved in \(\frac{f}{3}\), multiply both sides by three (Hint: Opposite of division is multiplication!) so that 3 would cancel out and that only the variable f is left.

\(3\) × \(\frac{f}{3} = -5\) × \(3\)

You should get this equation now:

\(f = -5\) × \(3\)

Solving it will let you have:

\(f = -15\)

To check if your answer is right, replace the variable f with -15 in \(\frac{f}{3} + 22 = 17\) and solve.

Answer:

Maria sent 7 messages

Bob sent 5 messages

Ahmad sent 45 messages

Step-by-step explanation:

Given that Maria, Ahmad, and Bob sent a total of 52 text messages during the weekend.

If Maria sent fewer messages than Bob, and Ahmad sent times as many messages as Bob

Since the exact figures were not given, then let make an assumption that Ahmad sent 9 times as many messages as Bob.

If Bob sent 5 messages, then, Ahmad will send 5 × 9 = 45 messages

Also, it is given that Maria sent fewer messages than Bob. Take 45 away from 52. That is,

52 - 45 = 7

Therefore,

Maria sent 7 messages

Bob sent 5 messages

Ahmad sent 45 messages

Answer:

Step-by-step explanation:

(x + 3)^2 + 2

= \(x^2+6x+9+2 = x^2+6x+11\)

Answer:

answer

down

below

8 294 400

Answer:

If she plans to jog 4.25 miles each day then 4.25 * 7 would equal 29.75. This is the first answer.

In order to get the second answer, we need to subtract 30.5 (What she needs to jog) over 29.75 (how much she is planned to job over the next 7 days). So 30.5 - 29.75 = 0.75

Here is the math I did to get 0.75:

= 30.5 - 29.75

= 30.5 + -29.75

= 0.75 (Answer)

Hopefully this helped :D

Step-by-step explanation: