A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.

Answer:

12 units squared

Step-by-step explanation:

This requires a 3-step solution.

1. The triangle on the left:

   To get an area for a triangle, you do: base times height divided by 2.

   You get 4/2, which is 2 units squared for the first triangle.

2. The square:

   Pretty easy, it is 2 x 2 which is 4.

3. The last triangle:

   Same thing as the first triangle, 2 x 6 divided by 2.

   You get 12/2 which is 6.

To get the final area: You add them up.

2 + 4 + 6, which is 12.

Answer:

0.0384

Step-by-step explanation:

Given that:

Mean (m) = 6.0

Standard deviation (s) = 2.0

Sample size (n) = 50

Probability that average amount is greater than 6.5

P(x > 6.5)

Obtain the Zscore using the relation :

Zscore = (x - m) / (s / sqrt(n))

Zscore = (6.5 - 6.0) / (2 / sqrt(50))

Zscore = 0.5 / 0.2828427

Zscore = 1.7677

Zscore = 1.77

P(Z > 1.77) = 1 - P(Z < 1.77)

P(Z > 1.77) = 1 - 0.9616

P(Z > 1.77) = 0.0384

Answer:

4.2%

Step-by-step explanation:

n=50, X=6.0, δ=2.0

Z=\(\frac{6.5-6.0}{2.0}\)  =  0.25

F(Z)= 4.2% based on the chart in the FE Handbook

Answer:

2/3 is greater.

Imagine a pizza is split into 3 slices. You eat 2. You would eat 2/3 of the pizza.

If a pizza is split into 6 pieces and you ate 2 slices, you would be eating less.

Answer:

Step-by-step explanation:

A productive approach to identifying a research topic and subsequent research question can involve utilizing multiple sources, including:

Literature review: Reviewing existing research in the field can help identify gaps in knowledge and areas that need further investigation.

Personal interests and experiences: Consider your own experiences, interests, and expertise to identify a topic that you are passionate about and can contribute to.

News articles and current events: Stay up-to-date on current events and identify topics that are relevant and pressing in your field.

Professional associations and organizations: These organizations often have conferences and publications that highlight current research trends and topics.

Government reports and data sources: These sources can provide data and information on a wide range of topics and can serve as a starting point for identifying a research question.

Ultimately, a combination of these sources can be useful in identifying a research topic and subsequent research question. It's important to consider the feasibility, importance, and originality of the research topic, and to choose a topic that you can research thoroughly and effectively.

Answer:

the 4th one

Step-by-step explanation:

Answer:

147/2

Step-by-step explanation:

Hi! y=k/x

y=21/4 and x=14 so k=147/2

Please mark brainliest and let me know if you have any more questions!

The simplified form of the expression (2x+8)^6 is\(64x^6 + 1536x^5 + 15360x^4 + 819204x^3 + 245760x^2 + 393216x + 262144.\)

To simplify the expression (2x + 8)^6, we need to raise the binomial (2x + 8) to the power of 6. This can be done using the binomial theorem.

The Binomial Theorem states that for any positive integer n and real numbers a and b, the expansion of the expression (a + b)^n is a sum of terms of the form (a^(n-k) * b^k * C(n,k)), where C(n,k) represents the binomial coefficient, which is equal to n!/(k!(n-k)!).

\((a + b)^n = C(n, 0)a^n b^0 + C(n, 1)a^(n-1) b^1 + ... + C(n, n-1)a^1 b^(n-1) + C(n, n)a^0 b^n\)

Where C(n, k) is the binomial coefficient, given by C(n, k) = n! / (k! (n - k)!).

In this case, a = 2x and b = 8. So, substituting these values into the binomial theorem:

\((2x + 8)^6 = C(6, 0)(2x)^6 8^0 + C(6, 1)(2x)^5 8^1 + ... + C(6, 5)(2x)^1 8^5 + C(6, 6)(2x)^0 8^6\)

Expanding each term, and combining like terms, we get:

\((2x + 8)^6 = 64x^6 + 1536x^5 + 15360x^4 + 819204x^3 + 245760x^2 + 393216x + 262144\)

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The equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

1. Start with the given equation: 2-3cos(x) = 5+3cos(x).

2. Subtract 3cos(x) from both sides to isolate the constant term: 2-3cos(x) - 3cos(x) = 5.

3. Combine like terms: 2-6cos(x) = 5.

4. Subtract 2 from both sides: -6cos(x) = 3.

5. Divide both sides by -6: cos(x) = -1/2.

6. To find the solutions for cos(x) = -1/2 in the range of 0° to 180°, we need to determine the angles where cos(x) equals -1/2.

7. These angles are 120° and 240°, as cos(120°) = cos(240°) = -1/2.

8. However, the given equation states that 2-3cos(x) equals 5+3cos(x), which is not satisfied by cos(x) = -1/2.

9. Therefore, the equation 2-3cos(x) = 5+3cos(x) has no solution in the range of 0° to 180°.

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We know that

• The flat fee for a suit is $125.

• Each additional day is $30 additional.

If x represents additional days, and y represents the total cost. Then, the equation would be

Since $30 depends on the additional days it has to multiply the variable x.

Answer:

$3.20/gallon

Step-by-step explanation:

to fill up your tank at $3.20/gallon only costs $38.40

The 95% confidence interval to estimate the proportion of students on financial aid = (0.522, 0.658)

In this question we have been given a university dean is interested in determining the proportion of students who receive some sort of financial aid.

Let p be the population proportion of students who receive some financial aid.

The dean randomly selects 200 students and finds that 118 of them are receiving financial aid.

i.e. n= 200

p{hat} = 118/200 = 0.59

We know that the critical value for 95% confidence interval : z = 1.96

The standard deviation would be,

σ = √[p{hat}(1 - p{hat})/N]

σ = √0.59(1 - 0.59)/200

σ = √(0.0012095)

σ = 0.0348

The 95% confidence interval for population proportion would be,

(0.59 ± (1.96 * 0.0348))

= (0.59 - (1.96 * 0.0348), 0.59 + (1.96 * 0.0348))

= (0.5218, 0.6582)

Therefore, the 95% confidence interval : (0.522, 0.658)

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By the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

The Mean Value Theorem (MVT) states that if a function ƒ(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists a number c in (a, b) such that:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

ƒ(x) = 2lnx - 8 is continuous on the closed interval [1, 7], since it is the sum and composition of continuous functions.

ƒ(x) = 2lnx - 8 is differentiable on the open interval (1, 7), since its derivative ƒ'(x) = 2/x is defined and continuous on (1, 7).

Therefore, the Mean Value Theorem can be applied to ƒ(x) on [1, 7]. To find the value of c, we need to solve the equation:

ƒ'(c) = [ ƒ(b) - ƒ(a) ] / (b - a)

Substituting the given values, we get:

2/c = [ 2ln7 - 2ln1 ] / (7 - 1)

2/c = ln7

c = 2 / ln7

c ≈ 0.909

Therefore, by the Mean Value Theorem, there exists a number c in (1, 7) such that ƒ'(c) = 2/c and 2/c = ln7 / 6, and c ≈ 0.909.

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Answer:

\(h=\pm 21\)

Step-by-step explanation:

\(h^2=441 \implies h=\pm \sqrt{441}=\pm 21\)

Answer:

mode = no mode. median = 133, mean = 133

Step-by-step explanation:

mode = most common value. all of the values appear once. so there is no mode.

median = arranging the data in numerical order, then finding middle value.

there are 8 values. we have 4 on one side (124, 126, 128, 130) and 4 on the other (136, 137, 140, 143).

median is halfway between 130 and 136. that is 133.

mean = add up the values/ how many there are

adding them up, you get 1064. there are 8 values.

mean = 1064/8 = 133

Answer:

  40°

Step-by-step explanation:

You want the measure of ∠LNO, marked as y°, given the two vertical angle pairs {100°, (x -y)°} and {y°, 2/7x°}.

Vertical angles have the same measure, so we can write the equations ...

We want the value of y, so it makes sense to solve these equations using a method that eliminates x. Rewriting the second equation to solve for x, we have ...

  x° = 7/2y°

Substituting this into the first equation gives ...

  100° + (7/2y -y)°

  100° = 5/2y°

  2/5(100) = y° = 40°

The measure of ∠LNO is 40°.

Answer:

A linear equation can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If we want to have a slope equal to -2, then our line will be something like:

y = -2*x + b

Now, we also want this line to pass through the point (3, -4)

This means that when x = 3, we must have y = -4

Then:

-4 = -2*(3) + b

-4 = -6 + b

-4 + 6 = b

2 = b

Then our line is:

y = -2*x + 2

Now, the second part says that:

If this line  contains the points (2,8) and (5.b), find a and b.​

This is incorrectly written because this line clearly does not contain the point (2, 8), so i guess the actual problem is something like:

If this line  contains the points (a,8) and (5.b), find a and b.​

If the line contains the point (a, 8), this means that when y = 8, we must have x = a.

Then:

8 = -2*a + 2

8 - 2 = -2*a

6 = -2*a

6/-2 = -3 = a

a = -3

Similar reasoing for the other point, if the line contains the point (5, b), this means that when x = 5, we have y = b.

Then:

b = -2*5 + 2 = -10 + 2

b = -8

Answer:

This is a sertafid anwser i got it right it should work it.

Step-by-step explanation:

the anwser is 4/4y

Answer:

The original number is -22

Step-by-step explanation:

We'll label our mystery number x.

2x + 36 = 4x/11
Multiply both sides by 11
4x = 22x + 396
Isolate x to one side (for this I subtract 4x from both sides, but you can also subtract 22x if you'd like)
0 = 18x + 396
Isolate x pt 2
18x = -396
Divide both sides by 18 to find your answer!
x = -22

Plug in to confirm

-44 + 36 = -88/11S
8 = 8

Since we know the slope of the line and a point that passes through it, we can use the point-slope form formula to determine the equation of the line.

Point slope form formula:

\(\text{ y - (y-coordinate of point) = slope(x - x-coordinate of point)}\)

We are given the following:

\(\bullet \ \ \text{Slope of line = -3}\)

\(\bullet \ \ \text{Line passes through (2, 4)} \implies \text{x-coordinate of point = 2; y-coordinate of point = 4}\)

When we substitute the values into the formula, we get;

\(\implies y - (4) = -3(x - 2)}\)

\(\implies \boxed{y - 4 = -3(x - 2) \ \ (\text{Option B})}\)

Therefore, option B is correct.

Answer:

(6, 6)

Step-by-step explanation:

The formula to find midpoint is (xm, ym) = (x1+x2)/2, (y1+y2)/2

In this case, x1= 9

x2= 3

y1= 5

and y2= 7

so, (xm, ym) = (9+3)/2, (5+7)/2

which can be simplified to

(xm, ym)= 12/2, 12/2

which equals (xm, ym) = 6,6

so the x value of the midpoint is 6 and the y value of the midpoint is 6

which makes the midpoint (6,6)

The following function starts high and ends high as its final behavior.

What is End behaviour ?

The behavior of the function graph at the "ends" of the x-axis is known as the end behavior of a function, or f. In other words, if we look at the right end of the x-axis (as x approaches +∞) and the left end of the x-axis (as x approaches -∞ ), the end behavior of a function represents the trend of the graph.

Imagine the function being investigated has a graph that is a function of x.

The values of "x" (also known as an input variable, independent variable, or output value function) are then typically plotted on the horizontal axis, and their output value function is plotted on the vertical axis.

Given to us is a function of x as \(2x^4 + x^3\)

The given function's graph has a high beginning and high end.

In the middle of the line, the function touches the origin.

As a result, the final behavior of the function that follows starts high and ends high.

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Step-by-step explanation:

The circumference of a WHOLE circle = pi * d

   you have 1/2 of this  and d = 10 ft

     so   1/2 pi * 10      PLUS the two straight sides + 8+6

       1/2 pi * 10   + 8 + 6

         5 pi + 8 + 6

        5 * 3.14   + 14 = 29.7 ft

Answer:

41/140 or approximately 29.29%

Step-by-step explanation:

Divide 41 by 140 to get 0.29285714285, and round it to the nearest hundredths.

Answer:

Step-by-step explanation:

b= buttons

z= zips

b∩z'=41

b'∩z=48

b'∩z'=25

b=?

b= b∩z+b∩z' (law of total probability)

140=b∩z+b∩z'+b'∩z+b'∩z'  (if this is confusing draw a venn diagram)

140=b∩z+41+48+25

b∩z=26

26+41= 67

67/140= .478571429

Answer:

A.

Step-by-step explanation:

1. the required probablilty is: P=(number_of_even_numbers)/(number_of_all_the_numbers);

2. according the condition the number of all the numbers is 10; the number of even numbers is 5 (they are: 2; 4; 6; 8; 10), then

3. P=5/10=0.5 (option 'A').

hahahaha wht? lol sry im stupid tbh

Answer:

Below

Step-by-step explanation:

That will shift the graph UP  k units

Answer: C

she donates a for 12 months, the 12 in the a * 12=300. the a is the fixed amount, meaning she will donate a 12 times in a year.

Answer:

100

Step-by-step explanation:

because 10×100=1000

Answer:

100 of the $100 bills equals to $1000

Step-by-step explanation:

1000/100=100

In my opinion is The standard deviation

\(2x+3y^2(x-y^2)\)

First use distributive property on the second term (\(a(b+c)=ab+ac\)),

\(2x+3y^2\cdot x+3y^2\cdot y^2\)

Multiply the same bases of exponents,

\(2x+3xy^2+3y^{2+2}\)

And simplify,

\(2x+3xy^2+3y^4\)

Hope this helps :)