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Watch the video of the can moving across the surface. What can the child do to create a greater force of friction?

*two hands moving a can back and forth on a table*

A) Make the table wet.

B) Place a cloth on the table.

C) Use less force when pushing the can.

D) Use more force when pushing the can.:(Inncorect)

(Here is an image) :

When x = 13, the equation that is true is option D) 5(x - 9) = 20.

To determine which equation is true when x = 13, we can substitute the value of x into each equation and see which equation holds true. Let's go through each option:

A) 3(18 - x) = 67

Substituting x = 13:

3(18 - 13) = 67

3(5) = 67

15 = 67

The equation is not true when x = 13. Therefore, option A is false.

B) 4(9x) = 23

Substituting x = 13:

4(9*13) = 23

4(117) = 23

468 = 23

Again, the equation is not true when x = 13. Therefore, option B is also false.

C) 2(x - 3) = 7

Substituting x = 13:

2(13 - 3) = 7

2(10) = 7

20 = 7

Once again, the equation is not true when x = 13. Therefore, option C is false as well.

D) 5(x - 9) = 20

Substituting x = 13:

5(13 - 9) = 20

5(4) = 20

20 = 20

Finally, the equation is true when x = 13. Therefore, option D is true.

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Note: the translated questions is

X = 13, which equation is true?

Step-by-step explanation:

x^2+2x+7y=15

7y=15-x^2-2x

y=15/7-1/7x^2-2/7x , x ∈ all real numbers

Answer:

Step-by-step explanation:

g(x) = x²

h(x) = x - 3

To find (g ∘ h)(x) substitute h(x) into g(x) that's for every x in g(x) replace it with h(x)

That's

(g ∘ h)(x) = ( x - 3)²

= x² - 3x - 3x + 9

We have the final answer as

Hope this helps you

Answer A 7.6 earthquake is more than 2x more powerful than a 3.2

Step-by-step explanation:

Answer:

\(\huge\boxed{\sf 38}\)

Step-by-step explanation:

= a³ + b (6 + c)

Put a = 2, b = 3 and c = 4

= (2)³ + 3 (6 + 4)

= 8 + 3(10)

= 8 + 30

\(\rule[225]{225}{2}\)

Answer:

Step-by-step explanation:

the requied answer is 38.

according to the question the value of a=2,b=3,c=4.

here,

to find the value of   a³ + b (6 + c)we have to do it in steps:

step 1: solve the bracket (6+4) =10.

step 2:  solve the value of a³ =8.

now put these values ,

=8+3(10)

=38.

The zeros of the function f(x) are -1, -2, and 8.

We have,

Since f(-1) = 0, we know that x + 1 is a factor of f(x).

We can use polynomial long division or synthetic division to find the other factor(s) and hence the zeros of the function.

Using synthetic division:

-1 | 1  -5  -22  -16

  |    -1   6   16

  |-------------

  | 1  -6  -16    0

Now,

f(x) = (x + 1) (x² - 6x - 16)

To find the zeros of the function, we set each factor equal to zero and solve for x:

x + 1 = 0, so x = -1

x² - 6x - 16 = 0, which can be factored as (x - 8)(x + 2), so x = 8 or x = -2

Therefore,

The zeros of the function f(x) are -1, -2, and 8.

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Answer:

a)= 5x+10

b)= 7y-6

c)= 6x-6

d)= 2x^2+8x-5

e)= 6x+9

f)= 4xy-4y^2+8y

g)= -12y^2+10y

h)= 6x+154

i)= 6x+21

h)= 2x^2+16

Answer:

A = 1/2 l*w

So the answer is 4.

Answer:

area=1/2(bh)

area=1/2(2 times 4)

area=1/2(8)

area=4

:)

Answer:21

Step-by-step explanation:

Look at attatched file.

This question is about piecewise-defined function whereby the statements given are defined by two or more equations.

We need to translate the statement given in the question into inequality equations.

Piecewise-defined function for C(x) are;

C(x) = $25 {if 0 ≤ x ≥ 250}

C(x) = $25 + $0.20x {if x > 250}

We are told that the phone company offers a monthly plan that costs $25 and that this plan includes a maximum of 250 minutes.

Since the piece wise function for the cost is C(x), where x is the number of minutes in a month, then;

C(x) = $25 {if 0 ≤ x ≥ 250}

Also, we are told that there are charges of $0.20 per minute above 250 minutes.

Thus, we can write;

C(x) = $25 + $0.20x {if x > 250}

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The radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

By using the expression to approximate the radius of a circle, we want to compare the radius of the two pools.

The expression for the radius of a circle is:

R = √(A/3)

Where A is the area of said circle.

The circular kiddie swimming pool has an area of 28ft^2, we just replace that in the above expression to get:

R =  √(28 ft^2/3) = 3 ft

The full-sized pool has an area of 113 ft^2, then its radius is:

R' = √(113 ft^2/3) = 6 ft

To see how much greater is the radius of the full-sized pool than the radius of the kiddie pool, we just take the quotient:

R'/R = 6ft/3ft

= 2

Hence, the radius of the full-sized pool is 2 times larger than the radius of the kiddie pool.

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The values of the two integers are -43 and -143.

Let the value of the smaller integer be "x".

Since, the sum of two integers is -186.

Smaller integer + Larger integer = -186

x + ( 3x - 14 ) = -186

Solve for x

x + 3x - 14 = -186

4x - 14 = -186

4x = -186 + 14

4x = -172

x = -172/4

x = -43

Hence;

The smaller integer = x = -43

The largere integer = 3x - 14 = 3(-43) - 14 = -143.

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Answer:

yes

Step-by-step explanation:

12+3=5x-3+3

15=5x

15=5(3)

15=15

Answer:

(5, 5) and (6, 1)

Step-by-step explanation:

Solutions to the system of inequalities are any points that are in the overlapped shaded region.

For example (5, 5) and (6, 1)

Find the equations of the two lines.

Blue line

Two points on the line: (-5, 8)  and  (0, -7)

\(\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{-7-8}{0-(-5)}=-3\)

Point-slope form of linear equation:  \(\sf y-y_1=m(x-x_1)\)

(where m is the slope and (x₁, y₁) is a point on the line)

\(\implies \sf y-(-7)=-3(x-0)\)

\(\implies \sf y=-3x-7\)

As the shading is above the line, and the line is dashed:

\(\sf y > -3x-7\)

Red line

Two points on the line:  (0, -9)  and  (2, 1)

\(\implies \sf slope\:(m)=\dfrac{change\:in\:y}{change\:in\:x}=\dfrac{1-(-9)}{2-0}=5\)

Point-slope form of linear equation:  \(\sf y-y_1=m(x-x_1)\)

(where m is the slope and (x₁, y₁) is a point on the line)

\(\implies \sf y-(-9)=5(x-0)\)

\(\implies \sf y=5x-9\)

As the shading is below the line, and the line is solid:

\(\sf y\leq 5x-9\)

\(\sf Inequality\:1: y > -3x-7\)

\(\sf Inequality\:2:y\leq 5x-9\)

Point (5, 5)

\(\sf Inequality\:1\implies -3(5)-7=-22 < 5\: \implies\:true\)

\(\sf Inequality\:2\implies 5(5)-9=16 > 5\: \implies\:true\)

Point (6, 1)

\(\sf Inequality\:1\implies -3(6)-7=-25 < 1\: \implies\:true\)

\(\sf Inequality\:2\implies 5(6)-9=21 > 1\: \implies\:true\)

No, the rank of the product of two n by n square matrices A and B, denoted as AB, cannot be less than n-1 if both A and B have ranks of n-1.

According to the Rank-Nullity theorem, for any matrix M, the sum of its rank and nullity is equal to the number of columns in M. In this case, the number of columns in AB is n, so the sum of the rank and nullity of AB must be n.

If rank(A) = rank(B) = n-1, it means that both A and B have nullity 1. The nullity of a matrix is the dimension of its null space, which consists of all vectors that get mapped to the zero vector when multiplied by the matrix. Since both A and B have rank n-1, their null spaces consist only of the zero vector.

Now, considering AB, if the rank of AB were less than n-1, it would mean that the nullity of AB is greater than 1.

However, this would violate the Rank-Nullity theorem since the sum of the rank and nullity of AB must be n, which is the number of columns.

Therefore,  if rank(A) = rank(B) = n-1, the rank of AB cannot be less than n-1.

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1/4π radians is approximately equal to 45 degrees.

To convert a value from radians to degrees, multiply the value by 180/π. For example, to convert π/4 radians to degrees, multiply π/4 by 180/π to get 45 degrees. This conversion is useful for converting angles between the two units of measurement.

Degrees = Radians × 180/π.

Therefore, to convert 1/4π radians to degrees, we have:

Degrees = (1/4π) × (180/π) ≈ 45°

Hence, 1/4π radians is approximately equal to 45 degrees.

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Answer:

Sqrt(13)

Step-by-step explanation:

d = sqrt(3^2 + 2^2) = sqrt (13)

Answer:

0.25

Step-by-step explanation:

Given that :

Charity raffle price = $1000

Amount of ticket sold = 4000

Only one winner is to be selected ;

Point ticket buyer is expected to break even :

Probability of winning = 1 / number of ticket sold = 1 / 4000 = 0.00025

P(winning) * raffle price = 0.00025 * 1000 = 0.25

The equation to represent the total monthly fees charged by the property manager is y = 59 + 0.08x .

In the question ,

it is given that

the per month charge of property by the manager = $59

plus extra 8% of the rent .

let y be the total monthly fees charged by the property manager .

and let x be the monthly rent of the property .

So the total monthly fees = $59 + 8% of the rent

Writing 8% in simplified form = 8/100 = 0.08

so,

total monthly fees = 59 + 0.08x

y = 59 + 0.08x

Therefore , the equation to represent the total monthly fees charged by the property manager is y = 59 + 0.08x .

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The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

The steps to conduct the steps of hypothesis testing on these data are:

The hypothesis will be:

Since we are comparing (GPAs) of three groups (students who check e-mail day by day, students  who check mail at least 2x a week, and students who check mail less than 2x a week), one can be able to make use of one-way analysis of variance (ANOVA) as the fitting test measurement.

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Solution :

Sampling may be defined as the technique of selecting the individual members or the subset of the population to make a statistical inferences and estimates the characteristics of the entire population.

There are several sampling methods. This includes : Systematic sampling, clustered sampling, stratified sampling, quota sampling, judgement sampling, random sampling, convenience sampling and many more.

In the context, the sampling methods for each of the descriptions are :

a). The researcher use computer program to randomly choose a sample of 30 mice of the 1000 mice for using her study

   --- Simple Random

b). The researcher chose the 1st 30 mice as she can reach the door to the mouse room

   --- Convenience sampling

c). The mice those whose are kept in the cages on 10 various shelves in mouse room. The researcher or the experimenter chose the three mice from each shelve.

  ---- Stratified sampling

d). Each of the cage have 5 mice and the researcher randomly chooses 6 cages for her study

----- Cluster sampling

e). The researcher generates the list of the identification numbers which has been sorted from the smallest to the largest. The researcher randomly picks 1 mouse form the list and selects every 4 mouse until the researcher has 30 mice.

 ---- Systematic sampling

Answer:

Step-by-step explanation:

Tina is training for a biathlon. To train for the running portion of the race, she runs 7 miles each day over the same course. The first 4 miles of the course is on level ground, while the last 3 miles is downhill. She runs 3 miles per hour slower on level.

The probability is 6/70.

Probability is concerning about numerical description  is how likely is an event is occur or how likely it is true.

Sol-
way will be selecting 84 out of eight since representative so 84 which is equal to at 70. And we need that we since we are things. There are two things representing the regions, so the four selected sales representatives are from only two off the regions. So if we select to sales representative from the two regions while we select de o sales representative from the other two regions, so four is it to selected from the four and to select from the two region and to select from two regions on day zero selected from the two regions and they're selected from the two regions. So is equal to four factorial over two factorial, two factorial times two factorial over to Victoria, zero factorial times too times Sorry, that was two factorial over to factory a factory times two factorial zero factorial two factorial which is equal to six for the
Thus,
probability is 6/70 which is equal toe open toe eight 57.

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The greengrocer normally sells 20 carrots for £2.80. The new cost of 1 carrot is £0.098.

Original cost is the price of an item or service before any discounts, taxes, or other adjustments.

This means that the cost of 1 carrot is £2.80/20 = £0.14.

When the cost of the carrots is reduced by 30%, the new cost of 1 carrot is £0.14 × (100%-30%) = £0.098.

Therefore, the cost of 180 carrots in the sale is £0.098 × 180 = £17.64.

The discount of 30% reduces the cost of 1 carrot from £0.14 to £0.098, and this reduces the cost of 180 carrots from £25.2 to £17.64.

This is because a 30% discount means that the cost of the item is reduced by 30% of the original cost.

As the original cost of 1 carrot is £0.14, the new cost of 1 carrot is £0.14 × (100%-30%) = £0.098.

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The slope-intercept form of a line's equation is y = mx + b, where m is the slope of the line and b is the y-intercept. We can use the given slope and point to solve for the y-intercept and write the equation in slope-intercept form.

Given: Slope (m) = -2 and point (-2, -3)

Answer:

Negative

Step-by-step explanation:

x - 2y = 5  Subtract x from both sides

-2y = -x + 5  Divide all the way through by -2

y = \(\frac{1}{2}\) x - \(\frac{5}{2}\)

Since the coefficient of the variable ( The number before the x) is a negative number, this tells us that the slope is negative.

answer: x= 20x

Step-by-step explanation: 2+2 is 4, 4+4 is 8, quick maths

The solution of the given expression will be 9/16.

Expressions in maths are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given an expression, [-3*(10+(-7))]²÷[(3-(-9)]²

= [-3*(10+(-7))]²÷[(3-(-9)]² = (-9)²/12²

= 9/16

Hence, The solution of the given expression will be 9/16.

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The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

(f/g)(x) = \(\frac{2x^2-5}{3x+2}\) x can not equal -2/3

Step-by-step explanation:

(f / g) is telling you to make f the numerator and g as the denominator.

It also wants you to state the domain restriction. When you divide by something, remember you can not divide by 0 under any circumstances. This means, you need to find what combination of x values will result in the denominator equaling 0.

(f / g) (x)

\(\frac{2x^2-5}{3x+2}\)

Domain restrictions

As you can see here, our denominator is: 3x+2. What set of x values will result in 3x+2 equating to zero? To find this, set up the equation so that it equals zero.

\(3x+2=0\\3x+2-2=0-2\\3x=-2\\3x/3=-2/3\\x=-\frac{2}{3}\)

If you are not sure, replace x with the value you came up with.

To check, replace x with -2/3

\(3(-\frac{2}{3})+2=0\\-2+2=0\\0=0\)