Multiply -2 1/4 *( -2 1/3)

Answer:

\(2\frac{1}{5}\)

Step-by-step explanation:

11 goes into 5 two times, but we are left with a remainder of 1.

So, we can say that the mixed number would be \(2\frac{1}{5}\).

a) 2y = 3x + 8 This equation represents the line passing through the midpoints of BC and AD.

b) the length of the line segment joining the midpoints is indeed half the sum of the lengths of the parallel sides.

a) To show that the line segment joining the midpoints of BC and AD is parallel to both AB and DC, we need to demonstrate that the slopes of the lines are equal.

Let's first find the coordinates of the midpoints of BC and AD:

Midpoint of BC: ( (−2+−4)/2 , (1−2)/2 ) = (−3,-1/2)

Midpoint of AD: ( (1+2)/2 , (2+0)/2 ) = (3/2, 1)

Now, let's calculate the slopes:

Slope of AB: (1-2)/(-2-1) = -1/3

Slope of DC: (-2-0)/(-4-2) = -1/3

Since both slopes are equal, AB is parallel to DC.

Next, let's find the equation of the line passing through the midpoints of BC and AD. We'll use the point-slope form.

Slope of the line passing through the midpoints:

(1-(-1/2))/(3/2-(-3)) = 3/2

Using the midpoint (−3,-1/2), we can write the equation of the line as:

y - (-1/2) = (3/2)(x - (-3))

y + 1/2 = (3/2)(x + 3)

2y + 1 = 3x + 9

2y = 3x + 8

This equation represents the line passing through the midpoints of BC and AD.

b) To show that the length of this line segment is half the sum of the lengths of the parallel sides, we need to calculate the lengths of AB, DC, and the line segment joining the midpoints.

Length of AB:

√((-2-1)^2 + (1-2)^2) = √(9 + 1) = √10

Length of DC:

√((-4-2)^2 + (-2-0)^2) = √(36 + 4) = √40 = 2√10

Length of the line segment joining the midpoints:

√((3/2-(-3))^2 + (1-(-1/2))^2) = √((9/2)^2 + (3/2)^2) = √((81/4) + (9/4)) = √(90/4) = √(9/4 * 10) = (3/2)√10

The sum of the lengths of AB and DC is:

√10 + 2√10 = 3√10

The length of the line segment joining the midpoints is:

(3/2)√10

We can see that the length of the line segment is indeed half the sum of the lengths of AB and DC:

(3/2)√10 = (1/2) * 3√10 = (1/2) * (√10 + 2√10) = 3/2√10 = 3/2√10

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Answer:

228m²

Step-by-step explanation:

The centroid of the triangle with vertices A(-4, -5), B(-1, 2), and C(2, -4) is (-1, -7/3).

To find the centroid of a triangle, we need to calculate the average of the coordinates of the three vertices. The centroid is the point of concurrency where the medians of the triangle intersect.

Given the vertices of the triangle A(-4, -5), B(-1, 2), and C(2, -4), let's find the centroid.

The x-coordinate of the centroid is given by the average of the x-coordinates of the vertices:

x-coordinate of centroid = (x-coordinate of A + x-coordinate of B + x-coordinate of C) / 3

                      = (-4 + -1 + 2) / 3

                      = -3 / 3

                      = -1

The y-coordinate of the centroid is given by the average of the y-coordinates of the vertices:

y-coordinate of centroid = (y-coordinate of A + y-coordinate of B + y-coordinate of C) / 3

                      = (-5 + 2 + -4) / 3

                      = -7 / 3

Therefore, the centroid of the triangle with vertices A(-4, -5), B(-1, 2), and C(2, -4) is (-1, -7/3).

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Answer:

It would be 3/3

Step-by-step explanation:

it is over 3 and up 3 if you are trying to get 3\4 go up 1

Answer:

2

Step-by-step explanation:

one apple and another equals to 2.

Answer: 11

Step-by-step explanation: you put one and one together lol

The formula for the height of the banner in terms of the side length of the cardboard square, the height of the grandstand, and the distances from the person's eye level to the grandstand and the ground.

Mathematically, we can write this as:

(height of banner) / (distance from eye level to top of grandstand) = (side length of cardboard square) / (distance from eye level to bottom of square)

So, the distance from the eye level to the top of the grandstand is "s + h". We also know the distance from the person's eye level to the bottom of the square, which is "d₂ - d₁".

Putting all of this together, we can write:

(height of banner) / (s + h) = s / (d₂ - d₁)

To solve for the height of the banner, we can cross-multiply and simplify:

(height of banner) = (s² / (d₂ - d₁)) * (1 + h/s)

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Complete Question:

Zach wants to order a banner that will hang over the side of his baseball stadium grandstand and reach the ground. And then he needs to find the height for the banner so he uses a cardboard square to line up the top and bottom of the grandstand. Then he measures the distance from the grandstand and from the ground to his eye level.

Find height of the banner.

To narrow down the confidence interval the pollster can increase the sample size.

Here we can see that the pollster surveyed only a sample of students to check whether they would vote or not. THe confidence of the interval of any sample depends on the margin of error.

Now, the Margin of error = Standard deviation/√sample size.

The smaller the margin of error, the smaller the confidence interval.

Hence we can see that to have a smaller standard of error we either need to have a smaller standard deviation, in turn, variance, or a larger sample size.

Now, the variability of any distribution is not something that a pollster can easily influence, as it will depend on the variety of answers they get. The pollster though can increase the sample size to get a smaller confidence interval. Hence they should increase the sample size.

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Answer:

A. 4:16

Step-by-step explanation:

4*1: 4*4

4:16

Answer:

A

Step-by-step explanation

a trick you can use is to divide

Answer:

76cm^2

Step-by-step explanation:

Can be divided in three parts

Part 1; Area= 6×2

=12cm^2

Part 2; Area= 2×2

=4cm^2

Part 3; Area= 10×6

=60cm^2

Add them; 60+4+12

76

Answer:

area 1

10x6

=60

area 2

2x4

=8

area 3

2x4

=8

total area is 60+8+8

total area is 76m²

Answer:

We may use the logarithm formula,

N = ln(EV/SV) ÷ ln(1+r), where (1+ r) is the value of 1 plus interest for 1 year.

EV is end value, SV is start value.

EV is 20000, SV is 12000, interest is 5.6% semi annual

(1+r) is obtained as,

Step-by-step explanation:

in log minus means divide

log 6 - log 3 = log (6÷3)

log 6 - log 3 = log 2

Answer:

59 degrees

Step-by-step explanation:

98+23=121

180 (total angle in a triangle) - 121 = 59 degrees

brainliest plz

Answer:

A. 59°

Step-by-step explanation:

The claim that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is false.

A context level data flow diagram (DFD) is a particular kind of diagram that shows how various system components interact with one another. The main objective of building a DFD is to visually depict the data flow and system activities.

The highest-level diagram that shows the system's overall operation without going into specifics about particular processes or data stores is a context level DFD, also referred to as a Level 0 DFD.

The statement that "a context level data flow diagram includes many detailed processes representing the computer programmes within the system" is untrue. This is so because the context level DFD reflects the total functionality of the system.

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Therefore, the ratio of the volumes of the two similar triangular prisms is approximately 1.25.

To find the ratio of the corresponding side lengths of the perimeters of the corresponding faces, we can take the square root of the ratio of the areas of the faces.

Given:

Area of first face = 49 cm²

Area of second face = 25 cm²

The ratio of the areas is:

49 cm² / 25 cm² = 1.96

Taking the square root of this ratio gives us the ratio of the corresponding side lengths:

√1.96 ≈ 1.4

Therefore, the ratio of the corresponding side lengths of the perimeters of the corresponding faces is approximately 1.4.

Now, let's find the ratio of the volumes of the two similar triangular prisms. Since the volumes of similar objects are proportional to the cubes of their corresponding side lengths, we can take the cube root of the ratio of the areas to find the ratio of the volumes.

The ratio of the volumes is:

∛(49 cm² / 25 cm²) = ∛1.96

≈ 1.25

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Answer:

your pretty whatsbyour name

Answer:

Amount of money saved  25 35 45 55 65 75 85

Step-by-step explanation:

Explanation:  On week 1 you have the $25 you already saved plus the $10 for that week, so $35.  

For every week after that add $10 to the money saved for the additional $10 saved that week.

On the 8th week the total amount of money saved is 95+10, or $105.

Answer:

30241530

Step-by-step explanation:

The expected value of the lottery is $680 dollars which is among the options provided.

Expected value of a lottery refers to the amount that an individual will get on average after multiple trials. It is calculated as a weighted average of possible gains in the lottery with the weights being the probability of each gain.

Assuming that in a lottery you can win 2,000 dollars with a 30% probability, 0 dollars with a 50% probability, and 400 dollars otherwise, the expected value of this lottery is $720 dollars. This is because the probability of winning $2,000 is 30%, the probability of winning 0 dollars is 50%, and the probability of winning $400 is the remaining 20%.

Expected value = 2,000(0.30) + 0(0.50) + 400(0.20)

Expected value = 600 + 0 + 80

Expected value = 680 dollars

So, the expected value of the lottery is $680 dollars which is among the options provided.

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Answer:

1, 6, 11, and 16 in that order

Step-by-step explanation:

every time the x value increases by 1, the f(x) value increased by 5

The equation for g(x) that matches the graph is g(x) =| -x - 3| +3

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

If we know that the function crosses x-axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

We are given that function, g(x), is shown below. It is a shifted graph of y = |x|.

The vertex of the square root function f(x) = √x is located at (0, 0). In the given graph, it has moved to (2, 4). The vertical and horizontal scale factors remain unchanged.

The equation for g(x)  is g(x) =| -x - 3| +3

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Answer:

C

Step-by-step explanation:

the inverse of x+3 is x-3

The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function is,

⇒ f (x)= x + 3

Now, We can find the inverse function as;

⇒ f (x) = x + 3

⇒ y = x + 3

Solve for x;

⇒ x = y - 3

Substitute y = x and x = h (x);

⇒ h (x) = x - 3

Thus, The value of the inverse of the function f(x) = x +3 is,

⇒ h (x) = x - 3

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Answer:

A: 236 sqaure ft.

B: 4 cans

Step-by-step explanation:

Sure, I can help you with that.

Part A:

The total surface area of a rectangular prism is calculated using the following formula:

Total surface area = 2(lw + wh + lh)

where:

In this case, we have:

Plugging these values into the formula, we get:

Total surface area = 2(8*6+6*5+8*5) = 236 square feet

Therefore, the total surface area of the doghouse is 236 square feet.

Part B:

Since the bottom of the doghouse will not be painted, we only need to paint the top, front, back, and two sides.

The total surface area of these sides is 236-6*8 = 188 square feet.

Therefore,

we need 188 ÷ 50 = 3.76 cans of paint to paint the doghouse.

Since we cannot buy 0.76 of a can of paint, we need to buy 4 cans of paint.

Answer:

A)  236 ft²

B)  4 cans of paint

Step-by-step explanation:

The given diagram (attached) shows the doghouse modelled as a rectangular prism with the following dimensions:

The formula for the total surface area of a rectangular prism is:

\(S.A.=2(wl+hl+hw)\)

where w is the width, l is the length, and h is the height.

To find the total surface area of the doghouse, substitute the given values of w, l and h into the formula:

\(\begin{aligned}\textsf{Total\;surface\;area}&=2(6 \cdot 8+5 \cdot 8+5 \cdot 6)\\&=2(48+40+30)\\&=2(118)\\&=236\; \sf ft^2\end{aligned}\)

Therefore, the total surface area of the doghouse is 236 ft².

\(\hrulefill\)

As the bottom of the doghouse will not be painted, to find the total surface area to be painted, subtract the area of the base from the total surface area:

\(\begin{aligned}\textsf{Area\;to\;be\;painted}&=\sf Total\;surface\;area-Area\;of\;base\\&=236-(8 \cdot 6)\\&=236-48\\&=188\; \sf ft^2\end{aligned}\)

Therefore, the total surface area to be painted is 188 ft².

If one can of paint will cover 50 ft², to calculate how many cans of paint are needed to paint the doghouse, divide the total surface area to be painted by 50 ft², and round up to the nearest whole number:

\(\begin{aligned}\textsf{Cans\;of\;paint\;needed}&=\sf \dfrac{188\;ft^2}{50\;ft^2}\\\\ &= \sf 3.76\\\\&=\sf 4\;(nearest\;whole\;number)\end{aligned}\)

Therefore, 4 cans of paint are needed to paint the doghouse.

Note: Rounding 3.76 to the nearest whole number means rounding up to 4. However, even if the number of paint cans needed was nearer to 3, e.g. 3.2, we would still need to round up to 4 cans, else we would not have enough paint.

Pasos

5

3

​

k+

10

7

​

=

15

11

​

k−

5

2

​

Resta  

15

11

​

k en los dos lados.

5

3

​

k+

10

7

​

−

15

11

​

k=−

5

2

​

Combina  

5

3

​

k y −

15

11

​

k para obtener −

15

2

​

k.

−

15

2

​

k+

10

7

​

=−

5

2

​

Resta  

10

7

​

 en los dos lados.

−

15

2

​

k=−

5

2

​

−

10

7

​

El mínimo común múltiplo de 5 y 10 es 10. Convertir −

5

2

​

 y  

10

7

​

 a fracciones con denominador 10.

−

15

2

​

k=−

10

4

​

−

10

7

​

Como −

10

4

​

 y  

10

7

​

 tienen el mismo denominador, reste sus numeradores para restarlos.

−

15

2

​

k=

10

−4−7

​

Resta 7 de −4 para obtener −11.

−

15

2

​

k=−

10

11

​

Multiplica los dos lados por −

2

15

​

, el recíproco de −

15

2

​

.

k=−

10

11

​

(−

2

15

​

)

Multiplica −

10

11

​

 por −

2

15

​

 (para hacerlo, multiplica el numerador por el numerador y el denominador por el denominador).

k=

10×2

−11(−15)

​

Realiza las multiplicaciones en la fracción  

10×2

−11(−15)

​

.

k=

20

165

​

Reduzca la fracción  

20

165

​

 a su mínima expresión extrayendo y anulando 5.

k=

4

33

​

Answer:

33/4

Step-by-step explanation:

3k/5 +7/10 = 11k/15 - 2/5

11k/15 - 3k/5 = 7/10 +2/5

11k/15 - 9k/15 = 7/10 + 4/10

2k/15 = 11/10

2k = 165/10

2k = 33/2

k = 33/4

Answer:To evaluate the exponential expression 6(4+2)² - 32, we need to follow the order of operations, which is parentheses, exponents, multiplication and division (from left to right), and addition and subtraction (from left to right).

First, we simplify the expression inside the parentheses:

4 + 2 = 6

Next, we square the result:

6² = 36

Now, we substitute the squared result back into the expression:

6(36) - 32

Next, we perform the multiplication:

6 * 36 = 216

Finally, we subtract 32:

216 - 32 = 184

Therefore, the value of the given exponential expression 6(4+2)² - 32 is 184.

Answer:

156,000

Step-by-step explanation:

291 divided by 97 is 3. 52,000 x 3 = 156,000.

Population will be 6 times of present population in 291 years.

The number of people in the city at a particular time is called population of the city.

Present population of the city = 52000

According to the problem, Population doubles in size in every 97 years.

After 97 years, the population = Double of present population

                                                  = 2 × 52000 = 104000

Population in 97 years = 104000

Population in 1 year = \(\frac{104000}{97}\)

So, population in 291 years =  \(\frac{104000}{97}\)× 291 = 104000×3 = 312000

Population in 291 years from now = \(\frac{312000}{52000}\) = 6 times

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Answer:

\( \frac{ \frac{2}{3} }{ \frac{ - 1}{2} } \\ = \frac{2}{3} \times \frac{ - 2}{1} \\ = \frac{ - 4}{3} \\ thank \: you\)

Answer:

-4/3

Step-by-step explanation:

\(\frac{2}{3} /\frac{-1}{2} \\\\\frac{2}{3} *\frac{-2}{1} \\\\\frac{-4}{3}\)

Answer:

126

Step-by-step explanation:

Let x be the missing length

The triangles are similar:

● UE/140 = 45/x

From the graph we deduce that:

● UE = 140 - 90 = 50

Replace UE by its value

● 50/ 140 = 45/x

Switch x and 50

● x / 140 = 45/50

45/50 is 9/10 wich is 0.9

● x/140 = 0.9

Multiply 0.9 by 140

● x = 140 × 0.9

● x = 126

Answer:

I think its c 126

Step-by-step explanation: