a)
b)
2
Complete the prime factor trees for 24 and 84:
24
2
||||
6
2
84
7
2
3
What is the Lowest Common Multiple of 24 and 84?
4
6

Answer:

$80 in interest for four years. She has to pay back a total of $480

Step-by-step explanation:

Answer:

  (a)  11

Step-by-step explanation:

You want the degree of the monomial 7m^6n^5.

The degree of a monomial is the sum of the exponents of its variables.

  m has an exponent of 6

  n has an exponent of 5

The degree is 6+5 = 11.

The line x= -4 is a vertical line passing through x-axis.

It is a distance of 4 units from the x-axis and is parallel to the y-axis.

Vertical Line in a coordinate plane refers to a line that is perpendicular to the Y-axis. From top to bottom and from bottom to top, it is a straight line. The x-coordinate of every point along this line will be the same. The points of vertical lines include, for instance, (2,0), (3,0), (-4,0), etc. Similar to this, a horizontal line is a line that runs parallel to the x-axis from left to right.

There is no slope to the vertical lines. It follows the y-axis parallel, hence the slope is not known. As a result, the equation for the vertical line that at any point, let's say 'a', crosses the x-axis is:

x = a

where x is a point on the line's coordinate.

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Answer:

-29

Step-by-step explanation:

(−4−3)(2^2)−1

=−7(2^2)−1

=(−7)(4)−1

=−28−1

=−29

Answer:

NEGATIVE 29

Step-by-step explanation:

p

Exponents

Multiply

D

Add

Subtract

So the first exponent is

[tex]2^{2}[/tex] which is 4

So now we have multiply so

4 x ( - 4 + - 3 )

4 x - 4 = - 16

4 x - 3 = - 12

So our new equation is

- 12 - 16 - 1 = - 29 :)

So the answer is NEGATIVE 29

Answer: 80% rent or 72 students

Step-by-step explanation:

20 percent of 90 is 18

So 18 kids own instruments

100-20=80%

So 80% of kids do rent instruments

Or

18x4= 72 kids rent

Answer:

7/15

Step-by-step explanation:

You have 120 bags. 64 of them in total do not contain buttons.

120 - 64 = 56

You have 56 bags with buttons. The simple answer is,

56/120

You can simplify this down to 7/15

If you're looking for percent, the answer is 46.67%

Answer:

Slope of perpendicular line: 5

Slope of parallel line: -1/5

Step-by-step explanation:

Convert the equation to slope-intercept form (y=mx+b where m is the slope and b is the y-intercept)

x+5y=6

subtract x on both sides

5y=-x+6

divide by 5 on both sides

y=-(1/5)x+6/5

The slope of this equation is the coefficient of x, -1/5.

The slopes of two perpendicular lines are negative reciprocals of each other.

To get the negative reciprocal of a number, flip the numerator and denominator and multiply by -1.

-1/5 becomes 5, so that's the slope of a line perpendicular to our original line.

Parallel lines have the same slope, so that's just -1/5.

Slope of perpendicular line: 5

Slope of parallel line: -1/5

Answer:

101.25 feet2

Step-by-step explanation:

Area =  

b1 + b2  ×h

2

=  

16 + 11  × 7.5

2

=  101.25 feet2

Tip if you need this again just go to Area Calculator

Using the provided values and the conditions, The inequality equations required are : [tex]x+y \leq 20[/tex] and [tex]450x+200y \geq 4800[/tex].

An equation is a mathematical statement in which two expressions are set equal to each other. It is typically written using an "=" sign, with the expressions on either side of the sign representing equivalent values. For example, the equation 2 + 2 = 4 states that the value of 2 plus 2 is equal to the value of 4. Equations can be used to express relationships and to solve problems.

An inequality is a mathematical statement that compares two values or expressions. It is similar to an equation, but instead of using the "=" sign to indicate that the two sides are equal, it uses one of the following symbols: ">", "<", "≥", "≤" to indicate that the two sides are not equal. For example, the inequality 2 + 2 > 4 states that the value of 2 plus 2 is greater than 4. Similarly, the inequality 2 + 2 < 4 states that the value of 2 plus 2 is less than 4. Inequalities can be used to express constraints in a problem or to define a range of solutions. They can also be represented graphically by using a number line.

x= number of tables sold

y= number of chair sold

max furniture in a day = 20

so, [tex]x+y \leq 20[/tex].

least selling amount = 4800

so, [tex]450x+200y \geq 4800[/tex]

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Answer:

99.7%

Step-by-step explanation:

the standard deviation is 4 minuet but  there is always outliers so thats  why its not 100% of the time and the minutes are  coverd  by the deviation.  

Answer:

68%

Step-by-step explanation:

The attached normal table shows area under the standard normal curve that are to the left of a particular z-score.

To find the area between two z-scores, say [tex]z_1 < z_2[/tex], find the area to the left of [tex]z_2[/tex] then subtract the area to the left of [tex]z_1[/tex].  That difference is the area between the two z-scores.

38 minutes has a z-score [tex]z_1=\frac{38-42}{4}=-1[/tex]

46 minutes has a z-score [tex]z_2\frac{46-42}{4}=1[/tex]

Find z= 1.0 in the table. The area in that row is .8413.

Find z=-1.0 in the table.  The area in that row is .1587.

The difference, .8413 - .1587 = .6826 is the area under the normal curve between z=-1 and z=1.

.6826 is about 68%

Answer:

21 3/4

Step-by-step explanation:

3 times 7 1/4 since the scale is 1:7 1/4. Good luck!! :)

Answer:

C

Step-by-step explanation:

We want to solve the equation:

[tex]x^2+2x+7=0[/tex]

Using the quadratic formula. The quadratic formula is given by:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 1, b = 2, and c = 7.

Substitute:

[tex]\displaystyle x=\frac{-(2)\pm\sqrt{(2)^2-4(1)(7)}}{2(1)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{-2\pm\sqrt{-24}}{2}[/tex]

Simplify the square root:

[tex]\sqrt{-24}=\sqrt{4\cdot 6\cdot -1}=\sqrt{4}\cdot\sqrt{6}\cdot\sqrt{-1}=2i\sqrt{6}[/tex]

Hence:

[tex]\displaystyle x=\frac{-2\pm2i\sqrt{6}}{2}[/tex]

Simplify:

[tex]\displaystyle x=-1\pm i\sqrt{6}[/tex]

Hence, our solutions are:

[tex]\displaystyle x=\left\{-1+i\sqrt{6}, -1-i\sqrt{6}\right\}[/tex]

Our answer is C.

Answer:

Below.

Step-by-step explanation:

The line of length 48 = 1/2 of the baseline (3x) as the line 48 joins the midpoints of the 2 sloping sides.

1/2 * 3x = 48

multiply both sides by 2:

3x = 96

x = 32.

A value calculator is a tool used to help assess the worth of an asset or investment.

The value calculator is designed to help individuals and businesses determine whether an asset or investment is a good value. The calculator takes into account various types of data, such as the current market value, expected future value, and any associated risk factors.

This data is then used to calculate the present value, which is the amount of money an asset or investment is worth today. The calculator also takes into account inflation and other factors that could affect the current value of the asset or investment.

The value calculator can be used to help individuals and businesses make informed decisions about their financial investments.

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The error interval for the length ,x, of the material is [8.25, 8.35)

We know that error interval is nothing but the limits of accuracy when a number has been rounded.

It is the range of possible values that a number could have been before a number was rounded.

Here, The length L of a some material is 8.3 meters.

The length of the material has been rounded to 8.3 to one decimal place.

The number below 8.3 is 8.2 and the number above is 8.4

Consider a half way between 8.2 and 8.3 for the lower bound and half way between 8.3 and 8.4 for the upper bound.

This means, the length of the material must have been between 8.25 meters and 8.35 meters to round to 8.3 meters to one decimal place.

Therefore, the required error interval would be 8.25 ≤ x < 8.35

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The order from greatest to least is -3/8> -2/5>-0.44>-0.5

To compare all the numbers, we first convert the numbers to their fractional equivalent.

Therefore, -0.44= -44/100

And -0.5= -5/10

Now, we covert all the numbers to get the same denominator in all the numbers, therefore, let the denominator be 100

Therefore, we multiply -3/8 with 12.5 in both numerator and denominator to get, -37.5/100

Then, we multiply -2/5 with 20 in both numerator and denominator to get, -40/100

and, we multiply -5/10 with 10 in both numerator and denominator to get -50/100

Therefore, with these resultant value we can say that, -37.5/100> -40/100 >-44/100> -50/100

Thus, -3/8> -2/5>-0.44>-0.5

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Katie is correct. Any number with 4 as a factor will also have 8 as a factor; therefore, any number with 8 as a factor will have 4 as a factor.

Katie is correct. Any number that is a multiple of 8 will also be a multiple of 4 because 8 is divisible by 4. For example, 8 is a multiple of 4 (8 = 2 x 4) and 16 is a multiple of 8 (16 = 2 x 8) and also a multiple of 4 (16 = 4 x 4). So, any number that is a multiple of 8 will also be a multiple of 4.  So any number that is a multiple of 8 will also be a multiple of 4. Note that 80 is a multiple of 8, but not 4.

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Therefore , the solution of the given question of triangle  comes out to be the only true option is A.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

Triangles, which have three sides and three angles, can be made by joining any three points in a plane. One of the first geometric shapes to be examined was them. They are especially crucial because any polygon, regardless of its number of sides (four, five, six, or n), may be divided into a triangle.

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Answer:

900 meters

Step-by-step explanation:

If the height of the building (unknown) is opposite of the angle of elevation (20°) and the distance from the building (402 meters) is adjacent to the angle of elevation, then we use the tangent function to find the height of the building:

tanθ=opposite/adjacent

tan(20°)=x/402

402tan(20°)=x

900=x

Therefore, the height of the skyscraper is 900 meters.

Answer:

60 minutes

Step-by-step explanation:

Here is the complete question

Caylan is making baked goods for a charity bake sale. He places a tray of scones, a tray of muffins, and a tray of cookies in the oven. The scones bake for 15 minutes, the muffins bake for 12 minutes, and the cookies bake for 10 minutes. When one tray is done, he removes it and replaces it with another tray of the same item. How many minutes after Caylan puts the trays in the oven will he first remove the scones, muffins, and cookies at the same time? ? minutes​

The multiples for scones = 15 = 3,5

The multiples for muffins = 12 =2, 2,2,3

The multiples for cookies = 2, 5

Lowest common multiple = 2 x 2 x 3 x 5 = 60 minutes

to determine the time , calculate the lowest common multiple of 12, 15 and 10

Answer:

60 - This is due to the times of each and what time you would take them out.

The scale factor of the dilation is 2. An expansion happens when the scaling factor's absolute value exceeds one.

The scale factor is defined as the proportion of the new image's size to that of the previous image. A fixed location in the plane serves as the center of dilatation. The scale factor and the center of dilation are used to determine the dilation transformation. The image stretches if the scaling factor is greater than 1.

As per the rule of scale factor

Q'U'/QU = SF

SF= Scale factor

=    (5+5)/5= Scale factor

=      10/5= 2

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Choose the variable whose numerical coefficients are smaller or have a smaller common multiple.

In the elimination method you either add or subtract the equations to get an equation in one variable. When the coefficients of one variable are opposites you add the equations to eliminate a variable and when the coefficients of one variable are equal you subtract the equations to eliminate a variable.

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The solution of the equation 3(2m - 1) ≤ 4m + 7 is option A m ≤ 5.

A mathematical statement known as an inequality in algebra uses the inequality symbol to show the relationship between two expressions. An inequality symbol denotes that the expressions on each side are not equal.

The given inequality is 3(2m - 1) ≤ 4m + 7

Remove the brackets by multiplying 3 with each term inside it:

6m - 3 ≤ 4m + 7

Subtract 4m from both sides of the equation.

6m - 3 - 4m ≤ 4m + 7 - 4m

2m -3 ≤ 7

Add 3 to both sides of the equation.

2m - 3 + 3 ≤ 7 + 3

2m ≤ 10

Divide both sides of the equation with 2.

2m/2 ≤ 10/2

m ≤ 5

Hence the solution of the equation is m ≤ 5, that is option A.

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Since you have basic knowledge of computer hardware, an action which you should take as an ethical employee include the following: A. Initiate help by offering to check the computer.

A computer hardware can be defined as a physical component of a computer system or an information technology (IT) that can be seen, touched and replaced.

In Computer technology, there are various examples of a computer hardware and these include the following:

Based on ethical principles, we can reasonably infer and logically conclude that an ethical employee should initiate help by offering to help check the colleague’s computer since he or she has basic knowledge of computer hardware.

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Answer:

the graph's slope-intercept is 3 or 3/1. you do this by finding the rise over run (how many squares does it go up, and how many does it go over).

The Y-intercept is -2. You can always find this by using the formula y= mx + b. Whatever number is in the place of "b" is the y-intercept.

I'm going to take a guess and say you're in Algebra 1. Either that or Pre-Algebra. This stuff took me a little while to full grasp, so don't worry! YOu'll understand it soon enough!