area of a trapezium base 8 top6 height 4

Answer:

5.9

Step-by-step explanation:

It's because area is 345

Answer:

added in the picture

Step-by-step explanation:

added in the picture

The system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3

The complete question requires that we determine the system of inequalities of the graph (the graph is attached)

Going by the list of options, the equation of the quadratic curve is:

y = x² + 2x - 3

From the graph, we can see that:

The above means that the inequality is greater than i.e. >

So, we have:

y > x² + 2x - 3

The above eliminates options (b) and (c)

From the graph, we can see that the straight line has a positive slope, a dotted line and the upper part is shaded.

The linear inequality in option (a) has the above characteristics.

So, the inequality is:

y > 2x + 3

Hence, the system of inequalities of the graph is (a) y > x² + 2x - 3 and y > 2x + 3

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The simplified form of the expression √(100x³⁶) will be 10x¹⁸. Then the correct option is A.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ √(100x³⁶)

Then the simplified form of the expression will be

⇒ √[(10x¹⁸)²]

⇒ 10x¹⁸

Then the correct option is A.

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Answer:

Step-by-step explanation:

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The simplified form of √(400x¹⁰⁰) is;

D; 20x⁵⁰

We want to find the simplified form of √(400x¹⁰⁰)

Now, according to laws of indices;

√ab = √a × √b

Thus;

√(400x¹⁰⁰) = √400 × √(x¹⁰⁰)

⇒ 20√(x¹⁰⁰)

Also according to law of indices;

a⁴ = a²  × a²

Thus;

x¹⁰⁰ = x⁵⁰ × x⁵⁰

Thus;

√(x¹⁰⁰) = √(x⁵⁰ × x⁵⁰)

⇒ x⁵⁰

Our final answer is;

20x⁵⁰

Answer:

D. Sqroot6

Step-by-step explanation:

6 is not a perfect square. So it is a non-repeating decimal that never ends

sqroot6 ~=

2.4494897428...

this is an irrational number.

The rest on the numbers can be written as a ratio:

0.45=45/100=9/20

0.63636363

= 63/99 = 7/11

sqrt25 = 5 = 5/1

that means they are rational.

Answer: [tex](-\infty, -3)[/tex]

Step-by-step explanation:

[tex]2w-2 < -8\\\\2w < -6\\\\w < -3[/tex]

[tex]4w+3 < 11\\\\4w < 8\\\\w < 2[/tex]

So, the solution is [tex](-\infty, -3)[/tex]

Answer:

28cm²

Step-by-step explanation:

The area of a triangle is given as:

= 1/2 × b × h

= 1/2 × 7 × 8

= 28cm²

Answer:

No

Step-by-step explanation

The square root of 10 is irrational because it isn't a fraction

Using it's concept, the sample space for the experiment is given as follows:

{(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

Hence the sample space is given as follows:
{(H,1), (H,2), (H,3), (H,4), (H,5), (H,6), (T,1), (T,2), (T,3), (T,4), (T,5), (T,6)}

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Answer:

f(x)=4^x exponential growth,  -6^x exponential decay Step-by-step explanation:

Step-by-step explanation:

[tex]t = k(r)( {q}^{2} )[/tex]

[tex]320 = k(5)( {4}^{2} )[/tex]

[tex]320 = 80k[/tex]

[tex]k = 4[/tex]

[tex]196 = 4(1)( {q}^{2} )[/tex]

[tex]49 = {q}^{2} [/tex]

[tex]q = 7[/tex]

Answer: $183,731

Step-by-step explanation:

After 30 years, the interest is $183,731

The median for Set A is (24+28)/2 = 26

The median for Set B is (21+25)/2 = 23

The mean for set A is (14+21+24+28+28+35)/6 = 25

The mean for set B is (18+19+21+25+29+32)/6 = 24.

Thus, the mean for Data Set A is greater than the mean for Data Set B.

Answer:

4(49v²+25)

Step-by-step explanation:

[tex]196 {v}^{2} + 100[/tex]

[tex]4(49 {v}^{2} + 25)[/tex]

Answer:

jenejebdjdndnr

r

r

r

r

r

r

Answer:

Step-by-step explanation:

Comment

Multiply through by x - 3

Then factor the result

4*(x - 3) / (x - 3) = x*(x - 3)

4 = x * (x - 3 )                          Remove the brackets

4 = x^2 - 3x                            Subtract 4 from both sides

4-4 = x^2 - 3x - 4                    Simplify

0 = x^2 - 3x- 4

This factors

0=(x - 4)(x + 1)

Answer

x - 4 = 0

x = 4

x+ 1 = 0

x = - 1

Answer:

(0, a)

Step-by-step explanation:

We can start by imagining this rectangle as a square.

(This is written as if it is a square:)

The distance that a square reaches on the x-axis (assuming it has its lower left point at the origin, like this one does) is the same distance that it reaches on the y-axis.

meaning that we will have (length, 0) along the x-axis and (0, length) along the y-axis

so, if we are to treat this as a square, the point (2a, 0) means that our opposite vertex is (0, 2a)

However, because this length is only half of the length that it would be (if it were a square), we must divide our length by 2

2a ÷ 2 = a

So, the coordinates of the top-left vertex of this rectangle:

(0, a)

Answer:

coordinates of top left vertex: (0, a)

Answer: 95 degrees (not an answer choice)

Step-by-step explanation:

Opposite angles of a parallelogram are congruent, so the left part of the angle is 40 degrees.

Adjacent angles of a parallelogram are supplementary, so the right part of the angle is 55 degrees.

Adding these together, we get 95 degrees.

The estimated cost of the ending inventory, assuming the gross profit rate is 35% is; $11250

Let us first calculate the gross profit;

Gross Profit = Sales * Profit%

Gross Profit = 395000 * 35%

Gross Profit = $138250

Cost of goods sold = Sales - Gross Profit

Cost of goods sold = 395000 - 138250

Cost of goods sold = $256750

Cost of ending inventory = Cost of goods available for sale - Cost of goods sold

Cost of ending inventory = 268000 - 256750

Cost of ending inventory = $11250

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Using the binomial distribution, it is found that there is a 0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect, which means that it is a highly likely event.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

The values of the parameters are given as follows:

n = 20, p = 0.05.

The probability that 3 or fewer experienced insomnia as a side effect is given by:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3)[/tex]

Hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{20,0}.(0.05)^{0}.(0.95)^{20} = 0.3585[/tex]

[tex]P(X = 1) = C_{20,1}.(0.05)^{1}.(0.95)^{19} = 0.3774[/tex]

[tex]P(X = 2) = C_{20,2}.(0.05)^{2}.(0.95)^{18} = 0.1887[/tex]

[tex]P(X = 3) = C_{20,3}.(0.05)^{3}.(0.95)^{17} = 0.0596[/tex]

Then:

[tex]P(X \leq 3) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) = 0.3585 + 0.3774 + 0.1887 + 0.0596 = 0.9842[/tex]

0.9842 = 98.42% probability that 3 or fewer experienced insomnia as a side effect.

Since this probability is greater than 95%, this is a highly likely event.

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Answer:

346

Step-by-step explanation:

Visitors on Friday(x)+Visitors on Saturday(2x)+Visitors on Suday(2x+234)

x+2x+2x+234=1099

5x+234=1099

5x=1099-234

5x=865

x=865/5

x=173

So, visitors on Saturday = 2x = 346

The ship is 88.8 miles far from the port at 4 pm.

Given,

The displacement from 1 to 3 in the afternoon.

D1 = 30 miles/hr × 2 hr

     = 60 miles to the north

The displacement from 3 till 4 in the afternoon.The ship changes its course 20 degrees eastward at 3 o'clock.

Therefore, D2 = 30 miles/hr × 1 hr

                       = 30 miles to the 20° north eastward

By combining two vectors, the resulting displacement:

D = √((D1 ₊ D2 × cos(20°))² ₊ (D2 × sin(20°))²

D = √((60 ₊ 30 × cos (20°))² ₊ (30 × sin(20°))²

D = 88.8 miles

Hence the ship is 88.8 miles far away from the port at 4 pm.

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Leah have to put down 13% of the total money in order to pay for the home.

The amount of money a person borrows from a bank to buy a house is termed as Home Loan.

It is given that

Leah wants to buy a home for $380,000

The amount of money he can get from bank is $ 330,600

The amount of money Leah needs to have

= $ 380000 - $ 330600 = $49400

The percentage Leah have to put down in order to pay for the home is

=($49400 /$380000 ) * 100%

= 0.13 * 100 %

= 13%

Therefore Leah have to put down 13% of the total money in order to pay for the home.

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Based on the statistics from the worldwide health organization, the percentage change in those living with the disease is 19.7% and the change in those who have died is 70%.

This shows that the disease is getting worse and not being treated effectively.

The number of those living with the disease went from 71 million to 40 million:

= (85 - 71) / 71

= 19.7% increase

The percent change in those who have died is:

= (6.8 - 4) / 4

= 70% increase

This shows that the measures being implemented against the disease are not working because both the number of people who have the disease and have died from it has increased.

Full question is:
Based on statistics from a worldwide health organization, in 1999 there were 71 million people worldwide living with a certain disease, and 4 million deaths from the disease. By 2015, the number of people living with the disease had grown to 85 million, and 6.8 million deaths were reported. Find the percent change for each statistic, and write any conclusions you can draw.

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i) Student A used the property of the power of a power and student B used the definition of power and the property of the product of power with the same base. ii) Both were correct.

In this question we must analyze the procedure used by each student to simplify a power into the form rⁿ:

i) The student A used the property of the power of a power which states that [tex](r^{m})^{n} = r^{m\cdot n}[/tex]. In exchange, the student B used the definition of power and the property of the product of powers with the same base.

ii) Based on the description in i), both students used correct methods of simplifying.

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Considering the least common multiple of the denominators, it is found that the result of the expression is given by:

[tex]\frac{9100}{138320}[/tex]

We place all the terms of the addition in "equivalent" fractions, with the same denominator, found from the last common multiple of all the denominators.

In this problem, the denominators are as follows: 28, 70, 130, 208, 304. Using a calculator, their lcm is of 138,320.

Considering equivalent fractions(the numerators are the division of the lcm by the previous denominator), the expression is:

[tex]\frac{4940}{138320} + \frac{1976}{138320} + \frac{1064}{138320} + \frac{665}{138320} + \frac{455}{138320} = \frac{4940 + 1976 + 1064 + 665 + 455}{138320} = \frac{9100}{138320}[/tex]

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Answer:

look at the picture

Step-by-step explanation:

look at the picture

Answer:

m = 6, b= 9

Step-by-step explanation:

Simplifying the equation, we get y = 6x + 9.

Matching this up with y = mx + b, we get m = 6 and b = 9.

Answer:

I can't answer this if you don't have the answer choices

I'm sorry

Answer:

64 is the answer

Step-by-step explanation:

Mark me brainliest answer pls