factorise fully 5x-10x^2

The net force acting on the object is 3456 N, the objective with an acceleration.

The net force applied to an object is equal to the product of its mass and acceleration, according to Newton's second law of motion. Mathematically, this can be represented as:

Fnet = ma

Where Fnet is the net force, m is the mass, and a is the acceleration. In your scenario, the net force applied to the object is 125 N, and its acceleration is 24.0 m/s2. Therefore, we can rearrange the formula and solve for the mass of the object as follows:

m = Fnet / a
m = 125 N / 24.0 m/s2
m = 5.21 kg

However, this answer does not match the given mass of the object, which is 144 kg. This suggests that there may be an error in one of the values provided. Assuming the mass of the object is actually 144 kg, we can use the same formula to solve for the net force acting on it as follows:

Fnet = ma
Fnet = 144 kg * 24.0 m/s2
Fnet = 3456 N

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The mass of an object with net force value = 125 Newton and acceleration of 24.0 m/s² is equals to the 5.208 kg. So, option(c) is right one.

The force formula is derived by Newton's second law of motion. The basic formula force applied on object is F = ma, which implies that net force is equals to product of mass and acceleration of an object. We have an object with the following information, Net applied force on object, F = 125 N

Acceleration of an object, a = 24.0 m/s²

We have to determine mass of object. Using the above force formula, F = M× a

where M --> mass in kilograms

a --> Acceleration in m/s²

F --> net force in Newton

Substitute all known values in above formula, 125 N = M × 24.0 m/s²

=> M = = \(\frac{125}{24}\)

=> M = 5.208 kg

Hence, required value is 5.208 kg.

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Complete question:

A net force of 125 N is applied to a certain object. As a result, the object accelerates with an acceleration of 24.0 m/s^2. The mass of the object is ?

a) 144 kg

b) 236 kg

c) 5.208 kg

d) 459 kg

Answer:

5 eggs per hen is the answee

Answer:

5

Step-by-step explanation:

I divided 60 by 12

This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.

We have a pond which is completely filled with the water.

Area of the side face ( trapezium shaped)

= 1/2 x (1.4 + 0.6) x 2

= 2 m²

Volume = area x height (here width)

V = 2x1 = 2 m³

The level goes down by 20cm in the first 30 mins

Volume of water that will be taken down =

=0.2 x 1 x 2

=0.4 m³ ( upper water will form cuboid face)

Now,

⇒0.4 m³ water is taken out in 30 minutes

⇒1 m³ water is taken out in 30/0.4 minutes

⇒2 m³ water is taken out in 30/0.4 x 2 minutes

⇒30x2/0.4

⇒150 minutes.

So the pond will be completely empty in 150 min that is 2hrs30mins.

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Answer:

In the context of the situation, Nicholas started with 825 canned goods and sold (or lost in some way, I'm assuming sold) 63 a day.

Answer:

Ratio is 7:8

Step-by-step explanation:

Boys = 14

Girls = 30 - 14 = 16

\({ \tt{boys : girls = \frac{boys}{girls} }} \\ \\ { \tt{ = \frac{14}{16} }} \\ \\ = { \tt{ \frac{7}{8} }} \\ \\ = { \tt{7 :8 }}\)

To find the y-intercept of the function k(x) = 3x^4 + 4x^3 - 36x^2 - 10, we evaluate the function at x = 0. The y-intercept is the point where the graph of the function intersects the y-axis. In this case, the y-intercept is -10.

The y-intercept of a function is the value of the function when x = 0. To find the y-intercept of the function k(x) = 3x^4 + 4x^3 - 36x^2 - 10, we substitute x = 0 into the function:

k(0) = 3(0)^4 + 4(0)^3 - 36(0)^2 - 10

= 0 + 0 - 0 - 10

= -10

Therefore, the y-intercept of the function is -10. This means that the graph of the function k(x) intersects the y-axis at the point (0, -10).

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Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test

Asking subject matter experts to rate each item in a test would be most helpful in strengthening the content validity of a test. Content validity refers to the extent to which a test accurately measures the specific content or domain it is intended to assess. By involving subject matter experts, who are knowledgeable and experienced in the domain being tested, in the evaluation of each test item, we can gather expert opinions on the relevance, representativeness, and alignment of the items with the intended content. Their input can help ensure that the items are appropriate and adequately cover the content area being assessed, thus enhancing the content validity of the test.

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A representative sample is one that accurately depicts the a population> This representative sample can be determined through sampling. The examples of sampling methods used are random sampling, stratified random sampling

Answer:

53 1/3 km/h

Step-by-step explanation:

average speed = (total distance)/(total time)

average speed = distance/time

time * average speed = distance

time = distance/(average speed)

250 km at 75 km/h

distance = 250 km

time = (250 km)/(75 km/h) = 3.33333... hours

350 km at 70 km/h

distance = 350 km

time = (350 km)/(70 km/h) = 5 hours

200 km at 30 km/h

distance = 200 km

time = (200 km)/(30 km/h) = 6.6666...  hour

total distance = 250 km + 350 km + 200 km = 800 km

total time = 3.33333... hours + 5 hours + 6.66666... hours = 15 hours

average speed = (total distance)/(total time)

average speed = (800 km)/(15 hours)

average speed = 53 1/3 km/h

The average speed of whole journey of the train is 45 km/hr

Average speed is the ratio of total distance travelled to total time taken. It is given by:

Average speed = total distance / total time

Given that a train travels 250 km with a average speed of 75 km/hr, hence:

75 = 250/time

time = 3.33 hours

It the travel 200 km with average speed of 30km/hr, hence:

30 = 200/time

time = 6.67 hours

The total distance = 200 km + 250 km = 450 km

The total time = 3.33 hr + 6.67 hr = 10 hours

Average speed = total distance/total time = 450 km/10 hours = 45 km/hr

The average speed of whole journey of the train is 45 km/hr

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Answer:

Step-by-step explanation:

An easy way to do slope is to know the formula which is (y1-y2)/(x1-x2)

In this case you have two points (2,5) and (0,-1)

2 = x1 (cause it’s the first x)

5 = y1 (cause it’s the first y)

0 = x2 (second x)

-1 = y2 (second y)

So the slope would be

(5-(-1))/2-0= 6/2 = 3

The identification of an unknown compound based on its IR spectrum is not possible with certainty, as there is no unique IR signature for each compound class.

Infrared (IR) spectroscopy is a powerful tool used in the identification of organic compounds. The IR spectrum is unique for each compound and is used to identify the functional groups present in the compound. However, IR spectra alone cannot be used to definitively identify an unknown compound, as different compounds can have similar spectra. To identify an unknown compound, additional information such as melting point, boiling point, and elemental analysis may be needed. Therefore, it is not possible to determine the type of amine (primary, secondary, or tertiary) based solely on its IR spectrum.

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The value of tan(arcsin(5/13)) is 5/12 in triangle .

To find the value of tan(arcsin(5/13)), we can use the following steps:

Step 1: Draw a right triangle with one angle equal to arcsin(5/13).

Let's call the opposite side of this angle "5" and the hypotenuse "13", according to the definition of sine.

Step 2: Find the adjacent side of the triangle using the Pythagorean theorem.

Since we have the opposite and the hypotenuse, we can use the Pythagorean theorem to find the adjacent side:

a^2 + 5^2 = 13^2

a^2 = 169 - 25

a^2 = 144

a = 12

Therefore, the adjacent side of the triangle is equal to 12.

Step 3: Use the tangent function to find tan(arcsin(5/13)).

Now that we have all three sides of the right triangle, we can use the tangent function to find the value of tan(arcsin(5/13)):

tan(arcsin(5/13)) = 5/12

Hence, the value of tan(arcsin(5/13)) is 5/12.

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The statement describes a set of interest in a study, which is the set of all elements being investigated or under consideration. It is not a sample, which refers to a subset of the population being studied.

The set of all elements of interest in a study is called the population. It refers to the entire group of individuals, objects, or measurements that are being studied and from which data can be collected. The population can be finite or infinite and can include people, animals, plants, materials, or any other object or concept of interest. In statistical analysis, researchers use samples of the population to make inferences or draw conclusions about the entire population. By selecting a representative sample, researchers can reduce the cost and time required for data collection and analysis while still obtaining valid and reliable results.

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Answer:

x=24

y=15

Step-by-step explanation:

If l and m is parallel, (3x-29)+(6x-7)=180 and (8y+17)=(6x-7)

Solve for X:

(3x-29)+(6x-7)=180

9x-36=180

9x=216

x=24

Plug in x:

(6(24)-7)=137

Solve for Y:

(8y+17)=(6x-7)

(8y+17)=137

8y=120

y=15

Answer: y in terms of x is y = 5x + 5.

Step-by-step explanation:

Since the graph of y^3 against x is a straight line passing through the points (1,5) and (6,15), it means that y^3 can be modeled as a linear equation in terms of x.

Let's call the slope of the line m and the y-intercept b. We can find the values of m and b using the two points (1,5) and (6,15).

Using the point-slope form of a linear equation, we can write:

y - 5 = m(x - 1)

Substituting (6,15) into the equation:

15 - 5 = m(6 - 1)

So, m = 5.

Next, we can use the slope-intercept form of a linear equation to write y in terms of x:

y = mx + b

Substituting the values of m and b:

y = 5x + 5

So, y in terms of x is y = 5x + 5.

Answer: 20

Step-by-step explanation:

*This is a supplementary Angle (adds up to 180 degrees)

5x+12+68=180

5x+80=180

*subtract 80 on both sides

5x=100

*divide both sides by 5

x=20

Answer:

C.

yes; y = 1.8x

Step-by-step explanation:

Answer for the question :

Yes, Y varies directly with X, and the equation is :

Y = 1.8X

NOTE : For every value of X, when you multiply them with 1.8, you will get the corresponding Y.  

Y = 1.8 x X

5.4 = 1.8 x 3

12.6 = 1.8 x 7

21.6 = 1.8 x 12   (Q.E.D.)

That’s the answer, good luck in solving the question!

:-)

ideal all you ought to do is to divide the y via potential of x and u get the equation working occasion #a million y=32 / x=4 then u have y/x=32/4 ----> y=8x and do the comparable indoors something so #2 y=-20 & x=-20 so y/x=-20/-20 y=x etc

The linear equation is given as y = 1.8x, Then the correct option is C.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

\(\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)\)

The table is given below.

x         y

3      5.4

7      12.6

12     21.6

Then the linear equation is given as,

\(\rm (y - 5.4) = \left [\dfrac{5.4-12.6}{7-3} \right] (x-3)\)

Simplify the equation, then we have

y - 5.4 = 1.8(x - 3)

y - 5.4 = 1.8x - 5.4

y = 1.8x

The linear equation is given as y = 1.8x, Then the correct option is C.

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Answer:

Answer for 1

3. 21,356 x one half

Answer for 2

1. A and C

Step-by-step explanation:

SSS - Side - Side - Side

SAS - Side - Angle - Side

ASA - Angle - Side - Angle

AAS - Angle - Angle - Side

The above theorems can be used to compare two triangles.

SSS, which stands for "side, side, side," represents two triangles having identical angles on each of their three sides. Two triangles are said to be congruent if their third sides coincide with those of another triangle.

That is what the SAS regulation says. The triangles are congruent if the two sides and included angle of one triangle match the two sides and included angle of the other triangle. Any angle that may be made by two particular sides is regarded as an included angle.

A triangle is comparable to another if its two matching angles are congruent, according to the AAA postulate of Euclidean geometry. The AAA postulate is derived from the observation that the total internal angle of a triangle is always equal to 180°.

While in case of ASA the angle - side and another angle of first triangle is equal to the corresponding angle - side - angle of other triangle.

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SSS, SAS, ASA, and AAS are four types of triangle congruence.

SSS (Side-Side-Side) is the congruence of three sides of a triangle. This means that all three sides of the triangle have the same length. To prove SSS congruence, you need to show that the corresponding sides of the two triangles have the same length. This can be done by calculating the length of each side and comparing them.

SAS (Side-Angle-Side) is the congruence of two sides and the included angle of a triangle. This means that the two sides of the triangles must have the same length, and the angles between those two sides must also be the same. To prove SAS congruence, you need to show that the corresponding sides of the two triangles have the same length, and that the angles between those two sides are also the same.

ASA (Angle-Side-Angle) is the congruence of two angles and the included side of a triangle. This means that the two angles of the triangles must have the same measure, and the side between those two angles must also be the same length. To prove ASA congruence, you need to show that the corresponding angles of the two triangles have the same measure and that the side between those two angles is also the same length.

AAS (Angle-Angle-Side) is the congruence of two angles and a non-included side of a triangle. This means that two angles of the triangles must have the same measure, and the side not included between those two angles must also be the same length. To prove AAS congruence, you need to show that the corresponding angles of the two triangles have the same measure, and that the side not included between those two angles is also the same length.

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Answer:

3x²

Step-by-step explanation:

x is to the left, and 3x is below.

x × 3x = 3x²

Answer: (-0.5, 3)

Step-by-step explanation:

     The solution of two graphed linear functions is the point of intersection, also known as the point the lines cross each other. See attached for a visual. These lines intersect at point (-0.5, 3) which means our answer is;

                (-0.5, 3)

Based on the provided multiple-choice options and the beginning cash amount of $17,300, none of the options align with a logical estimation of the cash at the end of the period.

We can analyze the multiple-choice options provided and make an educated guess based on the given information.

Option: $35,600

Assuming that there were no cash inflows or outflows during the period, this option suggests a significant increase in cash from the beginning. However, without any additional information, such a large increase cannot be justified.

Option: $43,300

Similar to the previous option, this suggests a substantial increase in cash. Without any supporting data or context, it is difficult to determine if such an increase is plausible.

Option: $27,900

This option implies a decrease in cash from the beginning. Again, without any information about cash outflows, it is uncertain if this decrease is accurate.

Option: $6,700

This option suggests a significant decrease in cash from the beginning. However, without any details about cash outflows or context, it is difficult to determine if this decrease is realistic.

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The statement is true. If we take any two distinct prime numbers, and the number "1", these numbers will always be pairwise relatively prime.

Two numbers are said to be pairwise relatively prime if their greatest common divisor (GCD) is equal to 1. In this case, since we are considering distinct prime numbers, their GCD will always be 1 since prime numbers have no common factors other than 1 and themselves. Therefore, any two distinct prime numbers will be relatively prime.

Similarly, when we consider the number "1", it is relatively prime to any other number because its only divisor is 1. Hence, when "1" is paired with any prime number, the GCD will be 1.

In summary, whether we consider two distinct prime numbers or pair them with the number "1", the resulting numbers will always be pairwise relatively prime.

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ANSWER

EXPLANATION

We want to find the function that models the amount of fertilizer after w weeks.

The general form of an exponential function is written as:

but it can be re-written as:

+ is used when it an exponential growth

- is used when it is an exponential decay

Note: r stands for rate of growth/decay

From the question, we see that there is an exponential decay (decrease).

This means that the function, we need to use is:

The mistake that Sarah made was that she used her rate directly as 3% (i.e. she made b = 3) into the general function which is wrong.

She should have instead used the alternate function given above to find the function.

Therefore, the correct function is:

where w represents the number of weeks

The value of z if a 5-sided regular polygon with one angle labeled a, If m ∠ a = (2z + 54)° is 27.

A polygon can be defined as a flat or plane, two-dimensional closed object circumscribed with straight sides. Its sides are not curled. A polygon's edges are another name for its sides. The vertices (or corners) of a polygon are the places where two sides converge.

Given:

m ∠ a = (2z + 54)°

The number of sides = 5,

Calculate the value of the sum of the interior angle by the formula given below,

\(S = 180(n - 2)\)

S = 180 (5-2)

S = 180 × 3

S = 540°

Calculate the value of a as shown below,

\(a = S/5\)

a  = 540 / 5

a = 108

108 = 2z + 54

2z = 108 - 54

z = 54 / 2 = 27

Therefore, the value of z if a 5-sided regular polygon with one angle labeled a, If m ∠ a = (2z + 54)° is 27.

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The pool can contain 10492 gallons of water

What is volume of cylinder?

The capacity of a cylinder, which determines how much material it can carry, is determined by the cylinder's volume. There is a formula for the volume of a cylinder that is used in geometry to determine how much of any quantity, whether liquid or solid, may be immersed in it uniformly. A cylinder is a three-dimensional structure having two parallel, identical bases that are congruent.

Right circular cylinder: A cylinder with circular bases and a lateral curved surface with each line segment perpendicular to the bases.

Oblique Cylinder: A cylinder with sides that are inclined over the base at a different angle than a right angle.

An elliptic cylinder is a cylinder with ellipses at its bases.

Two right circular cylinders tied together inside of one another form a right circular hollow cylinder.

volume of cylinder= (π)\(r^2h\)

diameter= 18feet

radius = 9 feet

height = 5.5 feet

volume= 3.14*(\(9^2\))*5.5

     = 1398.87 \(feet^3\)

volume in gallons = 1398.87 * 7.5

                 = 10492 gallons

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⇒We can represent this phone lattice in two minimum number of ways and states to represent it.

What is phone lattice?

A state diagram, or directed network in which each node stands for a state of a system, is what is known as a phone lattice. Each edge of a phone lattice has exactly one letter. A word is represented by each route from the start node to the final/end node.

The minimum no. Of states in using a phone lattice to the given requirement is  two.

We can represent this phone lattice in two minimum number of ways and states to represent it.

A  dual lattice may be  defined as the  inclusion on the extents. We represent a lattice using a  Hasse diagram of the given partial ordering on all the  maximal rectangles, transitivity and reflexivity arcs that are omitted. Concepts in the given system are often known  as elements of this lattice.

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Answer:

-5/12

Step-by-step explanation:

Solve for x by simplifying both sides of the equation, then isolating the variable.

Answer:

\(x = - \frac{5}{12} \)

Step-by-step explanation:

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

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

\(x + \frac{8 - 3}{12} = 0\)

\(x + \frac{5}{2} = 0\)

\(x = - \frac{5}{12} \)