Twice the difference of 1 and a number.

Answer:

- The angles in the triangle DEF must all be acute angles- angles smaller than a right angle (90 degrees) to prove an acute isosceles triangle. - The angles in the triangle DEF must all be acute angles- angles smaller than a right angle (90 degrees) to prove an acute isosceles triangle

Answer:

Question: Which characteristics will prove that ΔDEF is an acute, isosceles trianglle?

Step-by-step explanation:

Correct Choice: segment DE and segment EF are congruent to each other but not to segment DF, and their slopes are not related.

I took the test and got it right.

Answer:

Integer - 72

Decimal - 72.3

Answer:

.here is the answer ............

Answer:

82

Step-by-step explanation:

Answer:

82

Step-by-step explanation:

The first thing you do here is subtract 120 from 325

325-120=205

The next step is to divide 205 by 2.50 to find how many students attended

205/2.50=82

Therefore 82 students paid the $2.50 price to attend the dance

Answer:

27_5_10/2

27_5_5

22_5

17

Adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

The terms adjacent, neighboring, contiguous, and juxtaposed all denote being close by. Although adjacent might indicate a touch or not, it is usually assumed that there is nothing of the same sort in between. a home with a garage close by. Adjoining clearly means coming together and touching at a certain location or line.

When two angles have a similar vertex and side, they are referred to as neighboring angles. The vertex of an angle is the point at which the rays that make up its sides come to a stop. When adjacent angles have the same vertex and side, they might be a complimentary angle or supplemental angle.

Thus, adjacent angles are two angles that lie in the same plane and have a common vertex and a common side but have no common interior points.

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Answer:

Inequality is \(4x+3y\leq 87\)

Slope intercept form is \(y\leq 29-\frac{4}{3}x\)

Solutions are \((2,3)\,,\,(3,4)\)

Graph: attached to the question

Step-by-step explanation:

Given: Group dance numbers last 4 minutes and a solo performance lasts 3 minutes. The maximum duration for the recital is 87 minutes.

To find: inequality (in standard form) that describes the given situation, inequality in slope-intercept form, solutions for the inequality

To graph: the inequality

Solution:

x denotes the number of group dances on the program

y denotes the number of solo numbers on the program

Total duration of group dance numbers = \(4x\) minutes

Total duration of solo performance = \(3y\) minutes

According to question,

\(4x+3y\leq 87\)

Slope intercept form of equation is \(y\leq mx+c\) where m denotes slope of line and c denotes y-intercept of the line.

Slope intercept form of \(4x+3y\leq 87\) :

\(4x+3y\leq 87\\3y\leq 87-4x\\y\leq 29-\frac{4}{3}x\)

For \((x,y)=(2,3)\),

\(4(2)+3(3)\leq 87\\8+9\leq 87\\17\leq 87\,\,which\,\,is\,\,true\)

So, \((2,3)\) is a solution of the inequality.

For \((x,y)=(3,4)\),

\(4(3)+3(4)\leq 87\\12+12\leq 87\\24\leq 87\,\,which\,\,is\,\,true\)

So, \((3,4)\) is a solution of the inequality.

Graph: attached as image

Answer:

A system of linear equations consists of the  two lines of more equations lines

Step-by-step explanation:

hope it helps

if wrong pls forgive me

mark me brainliest pls

Answer:

the peraon above is correct

Answer:

2116x2 + 3355 + 146

Step-by-step explanation:

Hope this helped <3

Jimmy's age = (serena age + tyler age) - 1

the largest element "bubbles" up to its correct position from the unsorted section of the array. After three passes, the array is sorted in ascending order. ( passes 1, 2, 3 are given below )

Bubble sort is a simple sorting algorithm that repeatedly steps through the list, compares adjacent elements, and swaps them if they are in the wrong order.

After three passes of bubble sort on the given array [33, 45, 20, 19, 44, 78, 6, 89, 50], the array will look like this:
Pass 1:
[33, 20, 19, 44, 45, 6, 78, 50, 89]

Pass 2:
[20, 19, 33, 44, 6, 45, 50, 78, 89]

Pass 3:
[19, 20, 33, 6, 44, 45, 50, 78, 89]

In each pass, the largest element "bubbles" up to its correct position from the unsorted section of the array. After three passes, the array is sorted in ascending order.

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The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.

The formula for calculating the relative rate of inflation is:

Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1

Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:

Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4

Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:

Adjusted Exchange Rate = 0.4 * $0.42 = $0.168

Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:

Exchange Rate in 2010 = $0.42 + $0.168 = $0.588

Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.

Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.

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The margin of error can be calculated using the formula:
Margin of error = (upper limit of the confidence interval - lower limit of the confidence interval) / 2

In this case, a margin of error of 9.55 suggests that the sample mean is quite precise, since it's relatively close to the true population mean (which we know to be 52.90).

In this case, the lower limit of the confidence interval is 43.85 and the upper limit is 61.95.
Margin of error = (61.95 - 43.85) / 2
Margin of error = 9.55
Therefore, the margin of error is 9.55. This means that if the sample size were to be repeated, we would expect the sample mean to be within 9.55 units of the true population mean 95% of the time.
It's worth noting that the confidence interval provides a range of values within which we can be reasonably certain that the true population mean lies. The margin of error, on the other hand, gives us an indication of the precision of our estimate. However, if the margin of error were larger, this would indicate that our estimate is less precise and that we need a larger sample size to obtain a more accurate estimate of the population mean.

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I think it is 8.6.. but I am not 100% sure

Step-by-step explanation:

Answer:

T = 540N + 250

Explanation:

The amount saved by Hong after N months is

A = 155N + 250

And the amount saved by his wife after N months is

B = 385N

Then, the total amount saved is the sum of these expressions, so

T = A + B

T = (155N + 250) + (385N)

Simplifying, we get

T = 155N + 250 + 385N

T = 540N + 250

Therefore, the answer is

T = 540N + 250

The value of the given expression is - x² + 3x - 11 and option b is the correct answer.

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form. Therefore, A binomial is a two-term algebraic statement that includes a constant, exponents, a variable, and a coefficient.

The given expression is:

(-3x² + 4x) + (2x²-x-11)

-3x² + 4x + 2x² - x - 11

Subtract the like terms:

- x² + 3x - 11

Hence, the value of the given expression is - x² + 3x - 11 and option b is the correct answer.

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Answer:

0,1

2,2

4,3

6,4

Step-by-step explanation:

Some Examples

4 = 1/2 (6) + 1

4 = 3 + 1

4=4

----------

2 = 1/2 (2) + 1

2 = 1 + 1

2 = 2

h

0

2

4

6

...................

Answer:

x = -5

Step-by-step explanation:

12x - 3x + 4 = 5x - 16

9x + 4 = 5x - 16

9x - 5x = -4 - 16

4x = -20

x = -5

Answer:

\(x=-5\)

Answer:

7

Step-by-step explanation:

if the bases of the exponents are the same then we can add the powers. so 2^3 * 2^4 = 2^7 = 128.

Answer:

7

Step-by-step explanation:

2^3⋅2^4= 2^7

2^7=2^x

since it had the same base you wouldn't need to worry about it you can just focus on the exponent.

7=x

swap it over

x=7

Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve.

To calculate the formulas for average fixed cost (AFC), marginal cost (MC), average variable cost (AVC), and average cost (AC) based on the cost function C = 6 + 8q, we can use the following equations: Average Fixed Cost (AFC): AFC = Total Fixed Cost (TFC) / Quantity (q). Since the cost function C = 6 + 8q does not have any fixed cost component, AFC would be zero. Marginal Cost (MC): MC = Change in Total Cost (ΔTC) / Change in Quantity (Δq). The cost function C = 6 + 8q has a constant marginal cost of 8. Average Variable Cost (AVC): AVC = Total Variable Cost (TVC) / Quantity (q). Since the cost function C = 6 + 8q does not have any variable cost component, AVC would be the same as MC, which is 8.

Average Cost (AC): AC = Total Cost (TC) / Quantity (q); AC = (Total Fixed Cost + Total Variable Cost) / Quantity; AC = (6 + 8q) / q; AC = 6/q + 8. Now, for the graphical representation: Use the line drawing tool to draw the marginal cost curve, which is a straight line with a slope of 8. Label this line 'MC'. Use the 3-point curved line drawing tool to draw the average cost curve for quantities q = 1, q = 2, and q = 3. Connect these points smoothly to form the average cost curve. Label this curve 'AC'. Please note that the shape and position of the curves will depend on the specific quantities chosen, but the general trend will be a downward-sloping MC curve intersecting the U-shaped AC curve.

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Step-by-step explanation:

8x +6° +118° = 180° ( linear pair)

=> 8x = 180°-124°

=> 8x = 56°

=> x = 7°

hope this helps you.

Shape A is Convex and Hexagon.

Shape B is Concave and Hexagon.

Shape C is Convex and Pentagon.

Shape D is Concave and Hexagon.

Shape E is Concave and Pentagon.

Shape F is Convex and Pentagon.

Polygons are closed figures which has at least three set of line segments joined together.The polygon with the least number of sides is a triangle.

As per the given data:

The shape of the figures is given.

The shapes can be classified as:

Concave, Convex, Hexagon, Pentagon.

Concave polygons are the one with alteast one of the vertices pointing inwards toward the shape.

Convex polygons are the one with all the vertices pointing outwards from the shape.

A Hexagon can be defined as a closed two-dimensional polygon with six sides.

A Pentagon can be defined as a closed two-dimensional polygon with five sides.

Consider the shape A:

It has 6 sides and all vertices pointing outwards.

Shape A is Convex and Hexagon.

Consider the shape B:

It has 6 sides and some vertices pointing inwards.

Shape B is Concave and Hexagon.

Consider the shape C:

It has 5 sides and all vertices pointing outwards.

Shape C is Convex and Pentagon.

Consider the shape D:

It has 6 sides and one vertice pointing inwards.

Shape D is Concave and Hexagon.

Consider the shape E:

It has 5 sides and one vertice pointing inwards.

Shape E is Concave and Pentagon.

Consider the shape F:

It has 5 sides and all vertices pointing outwards.

Shape F is Convex and Pentagon.

Hence, Shape A is Convex and Hexagon. Shape B is Concave and Hexagon. Shape C is Convex and Pentagon. Shape D is Concave and Hexagon. Shape E is Concave and Pentagon. Shape F is Convex and Pentagon.

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We would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

To find out how many milliliters of a sample you would need to obtain 9 million yeast cells, given a yeast concentration of 3 million yeast cells/ml, you can follow these steps,

1. Determine the number of yeast cells needed: 9 million yeast cells.
2. Identify the yeast concentration: 3 million yeast cells/ml.
3. Divide the total number of yeast cells needed by the yeast concentration to find the required sample volume.

In this case,

(9 million yeast cells) / (3 million yeast cells/ml) = 3 ml

So, you would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

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We would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

To find out how many milliliters of a sample you would need to obtain 9 million yeast cells, given a yeast concentration of 3 million yeast cells/ml, you can follow these steps,

1. Determine the number of yeast cells needed: 9 million yeast cells.
2. Identify the yeast concentration: 3 million yeast cells/ml.
3. Divide the total number of yeast cells needed by the yeast concentration to find the required sample volume.

In this case,

(9 million yeast cells) / (3 million yeast cells/ml) = 3 ml

So, you would need 3 milliliters of the sample to have 9 million yeast cells for making bread.

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we can still express its behavior as x approaches positive infinity by stating that the limit is equal to -∞.

To determine whether the given limit leads to a determinate or indeterminate form, we must first examine the limit as x approaches positive infinity:

lim (x→+∞) (4-x)

As x becomes infinitely large, the expression (4-x) becomes increasingly negative, approaching negative infinity. Since the limit approaches a specific value, in this case, -∞, it is considered a determinate form.

The given limit, lim (x→+∞) (4-x), is a determinate form because as x approaches positive infinity, the expression (4-x) becomes increasingly negative, ultimately approaching negative infinity.

The limit of the given expression, lim (x→+∞) (4-x), is a determinate form and evaluates to -∞.  about existence, the limit does not exist in the conventional sense, as it does not approach a finite value. However, we can still express its behavior as x approaches positive infinity by stating that the limit is equal to -∞.

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Answer:

Step-by-step explanation:

To find:-

Answer:-

The given coordinates of the triangle are , A(3,-4) ; B(-2,1) and C(5,0) .

To find out the coordinate of the centroid we can use the below formula ,

\(\longrightarrow \boxed{\rm{Centroid\ (G)}= \bigg(\dfrac{x_1+x_2+x_3}{3},\dfrac{y_1+y_2+y_3}{3}\bigg)} \\\)

where ,

On substituting the respective values, we have;

\(\longrightarrow G =\bigg(\dfrac{3-2+5}{3},\dfrac{-4+1+0}{3}\bigg) \\\)

\(\longrightarrow G =\bigg(\dfrac{ 6}{3},\dfrac{-3}{3}\bigg) \\\)

\(\longrightarrow \boldsymbol{ G = (2,-1) }\\\)

Hence the centroid of the given triangle is (2,-1) .

Now the given equation of the line is,

\(\longrightarrow x - 3y = 4 \\\)

Convert this into slope intercept form of the line, which is,

Slope intercept form:-

\(\longrightarrow y = mx + c\\\)

where, m is the slope of the line and c is the y-intercept .

So , we have;

\(\longrightarrow -3y = 4-x\\\)

\(\longrightarrow 3y = x - 4 \\\)

\(\longrightarrow y =\dfrac{x-4}{3} \\\)

\(\longrightarrow y =\dfrac{1}{3}x-\dfrac{4}{3} \\\)

On comparing it with the slope intercept form, we have;

\(\longrightarrow m =\dfrac{1}{3}\\\)

Secondly we know that the slopes of parallel lines are equal . So the slope of the line parallel to the given line would also be ⅓ .

Now we may use point slope form of the line to find out the equation of the required line. The point slope form of the line is,

Point slope form:-

\(\longrightarrow y - y_1 = m(x-x_1) \\\)

where the symbols have their usual meaning.

Here the line will pass through the centroid of the triangle which is (2,-1) .

On substituting the respective values, we have;

\(\longrightarrow y - (-1) =\dfrac{1}{3}(x-2) \\\)

\(\longrightarrow 3( y +1) = x - 2 \\\)

\(\longrightarrow 3y + 3 = x -2\\\)

\(\longrightarrow x - 2 - 3 - 3y = 0 \\\)

\(\longrightarrow\boxed{\boldsymbol{ x - 3y - 5 =0}} \\\)

This is the required equation of the line.

Answer:

initial velocity = 64 m/s

Step-by-step explanation:

Differentiate H = 64t - 16t² to find an equation for velocity:

Velocity = \(\frac{dH}{dt}\) = 64 - 32t

Initial velocity (u) is when t = 0:

   u = 64 - 32(0)

⇒ u = 64 - 0

⇒ u = 64 m/s

Answer:

I am pretty sure the answer is A

Answer:

Step-by-step explanation:

10(1/2x + 8)=12

Answer:

1,2,3,5

Step-by-step explanation:

Answer:

abce

Step-by-step explanation: