clative Property of Addition: Practice
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Drag the numbers and the parentheses to create an equivalent addition sentence that illustrates the associative property of
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Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

The density of a substance is the mass per unit volume. The mass of the metal bar is 3.95 kg.

The density of a substance is the mass per unit volume.

It can be given as,

\(\rho=\dfrac{m}{v}\)

Here, \(m\) is the mass of the substance and \(v\) is the volume of hte substance.

Given information

A metal bar has the D of 7.9 g/mL .

Volume of the bar is 500 mili liter.

Suppose the mass of the metal bar is \(m\) grams. Thus put the values in the above formula as,

\(\rho=\dfrac{m}{v}\\7.9=\dfrac{m}{500}\\\)

Solve for m,

\(m=500\times7.9\\m=3950\)

Thus the mass of the metal bar is 3950 grams. Convert it into the kg as divide by 1000. Thus,

\(m=\dfrac{3950}{1000}\\m=3.950\)

Hence the mass of the metal bar is 3.95 kg.

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Step-by-step explanation:

given,

\( log_{7}(4) = 0.712 \\ log_{7}(12) = 1.277 \\ to \: find \: log_{7}( \frac{1}{3} ) \\ log_{7}( \frac{1}{3} ) = log_{7}( \frac{4}{12} ) \\ by \: logarithmic \: result \: log( \frac{a}{b} ) = log(a) - log(b) \\ implies \\ log_{7}( \frac{1}{3} ) \: = log_{7}(4) - log_{7}(12) \\ = 0.712 - 1.277 \\ = −0.565\)

I hope this is the answer.

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Answer:

Step-by-step explanation

Okay so lets solve step by step/

15% can be written as a  fraction: 15/100

The of in the equation means multiplying.

15/100= 3/20

3/20*9= 270/20

27/2 is answer

Therefore, we estimate that there are 2250 Art majors in the total population.

In mathematics, a proportion is an equation that states that two ratios are equal. A ratio is a comparison of two quantities expressed as a fraction or a decimal. Since both sides of the equation are equal, the proportion is true. Proportions are used in many mathematical and real-world contexts, such as in geometry, finance, and statistics. They are useful for comparing and scaling quantities, and for solving problems involving unknown quantities or variables.

Here,

We can use proportions to estimate the total number of Art majors in the population based on the proportion of Art majors in the sample.

The proportion of Art majors in the sample is:

75/250 = 0.3

We can assume that this proportion is representative of the proportion of Art majors in the population.

So, if x is the total number of Art majors in the population, then we can set up the following proportion:

0.3 = x/7500

To solve for x, we can cross-multiply and simplify:

0.3 * 7500 = x

x = 2250

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The solution is, the area in terms of pi is 246.49 ft^2.

Area is the measure of a region's size on a surface. The area of a plane region or plane area refers to the area of a shape or planar lamina, while surface area refers to the area of an open surface or the boundary of a three-dimensional object.

here, we have,

we know that,

The area of a circle is π multiplied by the square of the radius.

The area of a circle, (A) when the radius 'r' is given is πr2.

π is approximately  3.142

Given,

Radius of a circle = 10/2 = 5 ft

Therefore,

Area in terms of pi

A = pi(r) ^2

A = 3.14(5) ^2

A = 15.7 ^2

A = 246.49

Hence, The solution is, the area in terms of pi is 246.49 ft^2.

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Answer:

-15

Step-by-step explanation:

The (/) is also a division sign

-15/3 + 22 =17

-5 + 22= 17

Answer:

its -5

Step-by-step explanation:

So you subtract by 22 then it is -5 Then you multiply by 3 then it is -15

Answer:

x + x - 45 = 90

2x - 45 = 90

2x = 135

x = 67.5, so x - 45 = 22.5

The other two angles measure 22.5° and 67.5°.

The initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

The initial height of the rocket is given by the value of h when t = 0:

h(t)=-4t² + 16t + 24

h(0)=-4(0)² + 16(0) + 24

h(0)=24

So the initial height of the rocket is 24 metres.

The rocket will hit the ground when its height is 0 metres, so we can set h = 0 in the equation and solve for t:

0 = -4t²+ 16t + 24

-4t² + 16t + 24 = 0

t=-0.88 seconds

So the rocket will hit the ground after approximately 0.88 seconds.

The height of the rocket after 4 seconds is given by:

h(4)== -4(4)²+ 16(4) + 24

=-64+64+24

=24

So the height of the rocket after 4 seconds is 24 metres.

Hence, the initial height of the rocket is 24 metres, the rocket hit the ground in 0.88 seconds and the height of the rocket after 4 seconds is 24 metres.

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Answer: he will be 14

Step-by-step explanation:

Anna is 14 and her brother is 10. Two years ago she was 12. 3/4 of 12 is 9. 9+5 more years is 14. :)))

Answer:

D

Step-by-step explanation:

7-3x+2=0

9-3x=0

-3x=-9

x=-9/-3

x=3

D)9-3x=0

-3x=-9

x=-9/-3

x=3

Please mark me as BRAINLIST

Answer:

3

Step-by-step explanation:

7x-2y=3

7(1)-2(2)=3

7-4=3

3=3

your answer Its neither

Answer:

???

Step-by-step explanation:

The formula for finding the circumference of a circle is C = 2\(\pi\)r

It is fairly easy to find your answer using the information you have provided. All you need to do is substitute your radius into the formula I have provided above.

It'll look something like this: C = 2(3.14)(9)

Always remember that by using pi alone, you will get an answer that wouldn't be classified as correct. Use 3.14 instead.

C = 2(3.14)(9) = 56.66

Answer:

27 ounces of flour

Step-by-step explanation:

\(\frac{7}{3}\) x \(\frac{9}{9}\) = \(\frac{63}{27}\)

7/3 = 63/x

isolate the so that it is on the top, so multiply by x on the right and on the left

this gives you:

x*7/3 = 63

try to isolate x and multiply by 3 to get rid of the denominator

x*7 = 63 * 3

x*7 = 189

finally isolate x by dividing by 7 and getting rid of the 7 multiplying with it

x= 189/7

x = 27

you need 27 ounces of flour if you have 63 ounces of sugar

Answer:

At 12.10% of days  fewer lifeguards will be provided.

Step-by-step explanation:

We are given that the daily high temperatures in a vacation resort city are approximately Normal, with a mean temperature of 75  degrees Fahrenheit and a standard deviation of 6 degrees.

Let X = the daily high temperatures in a vacation resort city

So, X ~ Normal(\(\mu=75,\sigma^{2} =6^{2}\))

The z-score probability distribution for the normal distribution is given by;

                          Z  =  \(\frac{X-\mu}{\sigma}\)  ~ N(0,1)

where, \(\mu\) = mean temperature = 75 degrees Fahrenheit

            \(\sigma\) = standard deviation = 6 degrees Fahrenheit

Now, the percentage of days at which  fewer lifeguards will be provided is given by = P(X \(\leq\) 68°)

  P(X \(\leq\) 68°)  = P( \(\frac{X-\mu}{\sigma}\) \(\leq\) \(\frac{68-75}{6}\) ) = P(Z \(\leq\) -1.17) = 1 - P(Z < 1.17)

                                                  = 1 - 0.879 = 0.121 or 12.10%

The above probability is calculated by looking at the value of x = 1.17 in the z-table which has an area of 0.8790.

Hence, at 12.10% of days  fewer lifeguards will be provided.

Answer:

The ratio of the first term to the common difference is 1 : 2

Step-by-step explanation:

The rule of the sum of the AP is

\(S_{n}=\frac{n}{2}[2a+(n-1)d]\) , where

a is the first number

d is the common difference

n is the position of the number

∵ \(S_{10}\) = 4 × \(S_{5}\) ⇒ (1)

→ Find \(S_{10}\)  and \(S_{5}\)

∵ In \(S_{10}\) n = 10

∴ \(S_{10}=\frac{10}{2}[2a+(10-1)d]\)

∴ \(S_{10}=5[2a+9d]\)

∴ \(S_{10}\) = 10a + 45d ⇒ (2)

∵ In \(S_{5}\) n = 5

∴ \(S_{5}=\frac{5}{2}[2a+(5-1)d]\)

∴ \(S_{5}=2.5[2a+4d]\)

∴ \(S_{5}\) = 5a + 10d ⇒ (3)

→ Substitute (2) and (3) in (1)

∵ 10a + 45d = 4[5a + 10d]

∴ 10a +45d = 20a + 40d

→ Subtract 40d from both sides

∴ 10a + 45d - 40d = 20a + 40d - 40d

∴ 10a + 5d = 20a

→ Subtract 10a from both sides

∴ 10a - 10a + 5d = 20a - 10a

∴ 5d = 10a

→ Divide both sides by 5

∴ d = 2a

→ That means d is twice a or a is half d

∴ a : d = 1 : 2

The ratio of the first term to the common difference is 1 : 2

The art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper for proper distribution.

To determine the largest number of identical kits the art teacher can make using all the crayons and drawing paper, we need to find the greatest common divisor (GCD) of the quantities.

The GCD represents the largest number that can divide all the quantities without leaving a remainder.

The GCD of the quantities of crayons can be found by considering the prime factorization:

72 = 2³ × 3²

48 = 2⁴ × 3

48 = 2⁴ × 3

48 = 2⁴ × 3

The GCD of the crayons is 2³ × 3 , which is 24.

Now, we need to find the GCD of the quantity of drawing paper:

120 = 2³ × 3 × 5

The GCD of the drawing paper is also 2³ × 3 , which is 24.

Since the GCD of both the crayons and drawing paper is 24, the art teacher can make a maximum of 24 identical kits using all the crayons and drawing paper.

Each kit would contain an equal distribution of crayons and drawing paper.

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Answer:

x=25

y= 64.5

Step-by-step explanation:

When lines are parallel, 2x=2(the number)

But, 2 isn't an angle.  However, 50degrees is congruent to 2 since they are verticle angles.

2x=50

x=25

When lines are parallel, 2y+1=1(the number)

But, 1 doesn't have a verticle angle.  However, 180-50 would be equal to 1

180-50=2y+1

130=2y+1

129=2y

y= 64.5

The term that  best describe this graph attached is

does not have an outlier

An outlier is a data point that significantly deviates from the general pattern or trend of a dataset. It is an observation that is noticeably different from other data points in terms of its magnitude or value.

Outliers can be either unusually high (positive outliers) or unusually low (negative outliers) compared to the rest of the data.

The graph is not exactly uniform even though it is not skewed

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Answer:

Step-by-step explanation:

You want the coordinates of the vertices of QRST after it has been translated right 2 units, then reflected across the y-axis. The original coordinates are Q(1, 5), R(3, -1), S(0, 0), T(-2, 3).

The problem statement is written as a composition of the transformations Ry and T(2,0). A composition of functions is generally executed right to left, meaning the translation will be done first, then the reflection.

The numbers in the translation vector are added to the coordinates:

  (x, y) ⇒ (x+2, y+0)

Reflection over the y-axis changes the sign of the x-coordinate:

  (x, y) ⇒ (-x, y)

Then the composition of transformations is ...

  (x, y) ⇒ (-(x+2), y)

  Q(1, 5) ⇒ Q'(-3, 5)

  R(3, -1) ⇒ R'(-5, -1)

  S(0, 0) ⇒ S'(-2, 0)

  T(-2, 3) ⇒ T'(0, 3)

Answer:

Given that,

To solve,

3(1/6+9)=1/2−27.

That is, To find the value of x

we get,

we get,

Since the x term is got cancelled, There is no solution for this equation.

Answer is: option D: no solution.

What is I C T computer SCHOOL hi zip am SC 9

Step-by-step explanation:

Different means to minus, so minus 2 from 6. Which gives you the answer 4.

The value of x in the triangles are 9.

For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.

Given:

The triangles are congruent.

That means, their corresponding angles are also congruent.

In ΔJKL,

the sum of all the angles of the triangle is 180°.

So,

x²-2x + x + 29 + 3x + 52 = 180

x² + 2x - 99 = 0

Solving the quadratic equation,

x² +11x - 9x - 99 = 0.

x (x + 11) -9 (x + 11) = 0

x = 9 and x = -11

Here, we take x = 9.

Therefore, the value of x is 9.

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Answer:

-1 + 2 + 5 + 8 + 11 + 14 + 17 + 20 + 23 + 26

10 terms

sum = 125

45 and 53 are the correct answers on edge.

Answer:

45 and 53, i got it right on edge

ANSWER and EXPLANATION

We want to graph a line that is parallel to the line graphed below.

Since they are both straight lines, the equation of the graph will be:

A line that is parallel to another will have the same slope. This means that the slopes of both lines are equal.

Since we want to plot a random line that is parallel to the given line, the line can pass through any point.

Let the new graph pass through (1, 2).

Now, let us find the slope of the given line by using the formula:

This means that we have to pick two points that lie on the given line. Let us pick (-1, 0) and (0, -4). Therefore, the slope is:

This is the same as the slope of the parallel line.

Now, to find the equation of the line, we have to apply the point-slope method using the point (1, 2) and slope of -4:

Therefore, we have:

That is the equation of the line. Now, we can find another point in order to graph the line.

Let x = 0, therefore, we have:

Hence, we have two points (0, 6) and (1, 2)

Let us plot the graph now:

The red line represents the new graph.

Answer:

Then it is just a matter of plugging in the values into the formula. For example, if one base is 6 cm long, the other is 10 cm long and the height is 4 cm, the area is then (6 + 10) / 2 x 4 = 16 / 2 x 4 = 8 x 4 = 32 cm 2 (32 square centimeters).

Step-by-step explanation:

Answer:

(0,1)

Step-by-step explanation:

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