The diagram on the right shows an isosceles triangle
EFG with vertices E(0,k), F(4,4) and G(7,8). EF
and FG have the same length.
(a) Find the value of k.

Answer: 8 arboles.

Step-by-step explanation:

Ok, el camino tiene 80m de longitud.

Si la distancia entre árbol y árbol es x metros, entonces entran:  

N = 80m/x arboles.

Ahora, si x aumenta en 6m, entonces el numero de arboles se reduciría en 3, entonces tenemos el sistema de ecuaciones:

N = 80/x

N - 3 = 80/(x + 6)

Para resolver esto, el primer paso es remplazar la primera ecuación en la segunda:

N - 3 = 80/x - 3 = 80/(x +6)

Ahora podemos resolver esto para x.

80*(x + 6) - 3*x*(x +6) = 80x

80*x + 480 - 3*x^2 - 18*x - 80x = 0

-3*x^2 -18*x + 480 = 0

necesitamos resolver esa ecuación cuadrática, y sabemos que las soluciones son:

[tex]x = \frac{18 +-\sqrt{18^2 + 4*3*480} }{-2*3} = \frac{18 +-78}{-6}[/tex]

Entonces las dos soluciones son:

x = (18 +78)/-6 = -16

x = (18 - 78)/-6 = 10

La solución tiene que ser positiva, así que elegimos la segunda.

Esto quiere decir que la primera distancia es 10 metros, entonces el numero de arboles es:

N = 80m/10m = 8

Answer:

Francis spent $19 and Hector spent $28.50

A. $19

Step-by-step explanation:

The total amount spent between the two person = $47.5

If Hector is represented by H

Francis represent by F

Therefore equation 1 = H + F = 47.5

H +F = 47.5 ..........(eqn 1)

From the question

Hector = Francis + 50% Francis

Translating this into an equation we get,

H = F + 0.5F ...... (eqn 2)

Substitute equation 2 into equation 1, we get:

(F + 0.5F) + F = 47.5

Thus 2.5F = 47.5

F = 47.5/2.5 = 19

Answer:

Congressman Smith will defeat Challenger Jones

Step-by-step explanation:

Since the poll has a +/- 3% margin of error, the minimum and maximum possible percentages for each candidate are:

(44% - 3%) ≤ Jones ≤ (44% + 3%)

41% ≤ Jones ≤ 47%

(54% - 3%) ≤ Smith ≤ (54% + 3%)

51% ≤ Smith ≤ 57%

This means that, even in the worst possible scenario for Congressman Smith, he would still beat Jones with 51% against 47% of the votes. The pollster can safely predict that Congressman Smith will defeat Challenger Jones .

The terms that are not polynomial are x2/3 + v3x+1. The correct option is B.

The portions of the equation that are often separated by "+" or "-" signs are known as polynomial terms. Thus, each term in a polynomial expression is a portion of the polynomial. For instance, there will be 3 terms in a polynomial like 2 x 2 + 5 + 4 for example.

x2/3 + √3x+1 is not a polynomial term because the power is in a fraction in the polynomial term, the power is not in a fraction.

Therefore, the correct option is B. x2/3 + v3x+1.

To learn more about polynomial terms, refer to the link:

https://brainly.com/question/11536910

#SPJ1

Answer:

A joint insurance and retirement plan would generally be the most secure investment.

Step-by-step explanation:

Note: there may be divergence in the answers depending on personal opinion.

If they would like to secure their future, then they need secure investments, or low-risk investment.  Generally, low risk investments will give lower probably returns, but also lower possible losses, if any at all.

A. real estate options, mean unknown return in unknown time-frame

B. high risk shares that promise big returns mean risky investment with high risk of losses

C. joint insurance and retirement plans mean usually known return, and close to zero risk (unless insurance company goes bankrupt)

D. Become entrepreneurs or invest in a business, is a good option, provided a judicious choice of the business would be made.

Answer:

13.5 inches

Step-by-step explanation:

Perimeter of the paper square = 18inches

Perimeter of a square = 4s

4s = 18 inches

s = 18/4 = 4.5 inches

Therefore, each side of the square = 4.5 inches.

When the square is cut into 2 rectangles,

The perimeter of one of the rectangles is 10 inches.

Perimeter of the second rectangle = 2L + 2W

Let the length of the rectangle (L) = one side of the square = 4.5 inches

Width of the Rectangle = Length of the square/2 = 4.5 inches/ 2 = 2.25

Perimeter of the second rectangle = 2(4.5) + 2(2.25)

= 9 + 4.5

= 13.5 inches

Answer: 6($m - $20)

Step-by-step explanation:

From the question, we are told that Sally earns m dollars each month to walk her neighbor's dog every day after school and that when she is paid each month, she puts aside $20 to spend and saves the remaining amount. This means that Sally saves:

$m - $20.

The expression that represents the amount Sally will save in 6 months will be so multiplied by the amount saved every month. This will be:

= 6($m - $20)

Answer:

Ok first of all. You cant be in highschool with this question. because this is a 6th grade question. Second that person who gave you that asnwer is wrong because thats not even the answer now I advise you to listen for future refrences.

Step-by-step explanation:

she is paid $65 and she saves $20 so subtract those numbers then you get $45 so that means she saves $20 and had $45 to spend. that means 20 times 6(months) is... $120 so $120 is your answer. But, to be more professional "Sally has saved $120 in 6 (Months.)

Answer:

[tex]m\angle Y = 85\°[/tex]

Step-by-step explanation:

In Triangles YXZ and PMN

[tex]XY \cong MP\\YZ \cong PN[/tex]

Since the third side of  triangle subtended by two congruent sides will always be congruent, the two triangles are congruent by SSS congruence theorem.

Therefore:[tex]\triangle XYZ \cong \triangle MPN\\[/tex]

If the measure of angle P = 85°

Since P and Y are in the same positions(as seen in the diagram) in the two triangles respectively, the measure of angle Y is also 85 degrees.

Answer:

I believe the correct answer would be m<Y= 100° which would be letter C.

Step-by-step explanation:

Answer:

a - b and a + b.

Step-by-step explanation:

Let's say the area of a rectangle is represented by the expression 100a^2 - 49b^2.

According to an algebraic formula, a^2 - b^2 = (a - b) * (a + b) = a^2 - ab + ab - b^2.

In this case, the square root of 100 is 10, and the square root of 49 is 7. That means that we have (10a - 7b) * (10a + 7b).

We can check that by doing... (10a - 7b)(10a + 7b) = 100a^2 - 70ab + 70ab - 49b^2 = 100a^2 - 49b^2.

Since it matches to the expression given, the expressions that represent the dimensions of the rectangle are (a - b) and (a + b).

Hope this helps!

Answer:

Volume of the water droplet = 0.00001 cubic meter

Step-by-step explanation:

∵ 100 centimetres = 1 meter

∴ 1 centimetre = [tex]\frac{1}{100}[/tex] meter

                       = 0.01 meter

Volume of a water droplet = 0.1 cubic centimetre

                                            = 0.1 (centimetre)³

By putting 1 centimetre = 0.01 meter

Volume of the water droplet = 0.1 (0.01 meter)³

                                                 = 0.1 × (0.01)³ meter³

                                                 = 0.1 × 0.0001 meter³

                                                 = 0.00001 meter³

Answer:

The like terms are 7x and 6x so the answer is 13x + 9.

Answer:

13x + 9 is the Answer

Step-by-step explanation:

Answer:    X= 3

Step-by-step explanation:

x-4*x-2=0

+4.       +4

—————-

x*x-2=4

     +2. +2

——————

x*x=6

2x=6

/2.   /2

—————-

x=3

Answer:

Use a graphing calculator.

Step-by-step explanation:

How to solve without a graphing calculator (if it's not allowed):

1) convert x+y= 5 to slope-intercept form. (right now it's in standard form.) We can do this by solving for y.

x+y=5  (subtract x from each side), y= -x +5

2) graph by hand using y=mx+b. From our equation, we can see that m= -1 and b=5. So, graph starting at 5, and go down one, over one, as far as you need to be able to draw the line through your points. Now, you can see that the y-intercept is 5 and the x-intercept is 5.

Answer:310

Step-by-step explanation:

Answer:

Balcony tickets = 310

Step-by-step explanation:

Let x be orchestra seat

and y be balcony seat

x + y = 980

x = 980 - y................ (1)

50x + 35y = 44350

Substituting in equation 2,

50 (980 - y) + 35y = 44350

y = 310

Answer:

80cm^2

Step-by-step explanation:

Answer:

80 ft^2

Step-by-step explanation:

To find the area of a triangle, multiply 1/2*base*height. When you plug in the numbers, the formula looks like this: 1/2*10*16. This will give you 80 ft^2

Answer:

y=-2x+8

Step-by-step explanation:

Slope=-2

Y intercept= 8

Answer:

Hello, I'll do it again caus eit got deleted for some reason!

m = 2g^2 + 5

Step-by-step explanation: Remove the radical by raising each side to the index of the radical.

Hope this helped you again!

Answer: Yes.

Step-by-step explanation: In each bracket, there is an odd and even number.

Answer:

A

Step-by-step explanation:

Perpendicular lines always have the negative (opposite) reciprocal slope. Therefore, the slope of the line would be -2 because the reciprocal is just switching the numerator and denominator around (1/2 changes to 2/1 which is 2) and the negative means the opposite sign of which was originally given... i.e, since the 1/2 was positive, now it would be negative. That is why the slope is -2.

The equation of a line is y=mx+b with m representing the slope and b representing the y-intercept. Now to find the y-intercept, plug in the given components of the point (4,0) for the equation and solve for b (the y-intercept). Use 4 for x and 0 for y.

0=-2(4)+b

0=-8+b

8=b

Answer:

researcher B with 15 participants will be associated with a larger standard error

Step-by-step explanation:

Standard error can be expressed mathematically as;

E = zr/√n ......1

Where

z = z value of test statistics

r = standard deviation

n = number of samples

From equation 1, given that the standard deviation and the z value for the two researchers are thesame, then we can say;

E = zr/√n

E = k/√n

E1/E2 = √(n2/n1)

n1 = 25

n2 = 15

E1/E2 = √(15/25)

E1/E2 = 0.774596669241

E1 = 0.77E2

Therefore, E1 is less than E2

E1 < E2

And also the larger the number of samples the lower the standard error.

Since researcher B have a lower number of samples it will have a larger standard error.

So, researcher B with 15 participants will be associated with a larger standard error

Answer:

It is an unusual result contradicting the national survey.

Step-by-step explanation:

National survey showed 44% of college students who drink.

The professor's survey showed that 96/244 = 39% drink.

The professor's survey deviated from the national survey is 5% (44% - 39%) representing about 0.25% (5% squared) variance.

Standard deviation is the spread of a set of numbers from their mean.  In other words, it measures how far an observed value is from the mean. It can be calculated by getting the square root of the variance.

Add the frequency for 16 and above :

5 + 7 + 7 = 19

19 passed

Total students ( add all frequencies) is 30

The fraction that passed is 19/30

Answer:

3/8.

Step-by-step explanation:

The probability of a head or a tail on one toss of a single coin is 1/2.

So the required probability when 3 coins are tossed of getting say 3 heads  = (1/2)*3 = 1/8.

The probabilities are multiplied because each event ( 1 coin tossed) is independent of the others.

There are  3 ways to get 2 H and 1 tail  (HHT, HTH and THH) so the answer is  3 * 1/8

= 3/8.

Answer:

3/8 or 0.375 or 37.5%

Step-by-step explanation:

You have three coins. The probability of getting a head or a tail for each coin is 1/2. So,

[tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] × [tex]\frac{1}{2}[/tex] = [tex]\frac{1}{8}[/tex]

There are 8 possible combinations that can come from tossing 3 coins at the same time: HHH, HHT, HTH, HTT, THH, THT , TTH , or TTT.

Every time you toss the 3 coins, there is a [tex]\frac{1}{8}[/tex] chance that you get either of these combinations. So,

[tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] + [tex]\frac{1}{8}[/tex] = [tex]\frac{3}{8}[/tex]

The probability of tossing 2 tails and 1 head is 3/8.

Hope this helps.

Answer:

Hello!

___________________

Express 35 millimetre in centimetre​

Millimetre = 35

Centimetre = 3.5

Step-by-step explanation: Divide the length value by 10.

Hope this helped you!

:D

Answer:

Hey! :)

35 millimetre = 3.5 centimetre

Good luck!

- The Brainly Team

Answer:

6x³ - 17x² + 11x - 2

Step-by-step explanation:

The cubic polynomial in general form is:

zeroes are

then we can get the polynomial as:

So the required polynomial is:

Answer:

f(x) = 6x³ - 17x² + 11x - 2

Step-by-step explanation:

Given the zeros x = 2, x = [tex]\frac{1}{3}[/tex], x = [tex]\frac{1}{2}[/tex] then the factors ar

(x - 2), (x - [tex]\frac{1}{3}[/tex] ), (x - [tex]\frac{1}{2}[/tex] )

By equating the fractional factors to zero we can express them as integer factors, that is

x - [tex]\frac{1}{3}[/tex] = 0 ( multiply through by 3 )

3x - 1 = 0

x - [tex]\frac{1}{2}[/tex] = 0 ( multiply through by 2 )

2x - 1 = 0

Thus the factors are (x - 2), (3x - 1), (2x - 1)

The polynomial is then the product of the factors.

f(x) = (x - 2)(3x - 1)(2x - 1) ← expand last 2 factors using FOIL

     = (x - 2)(6x² - 5x + 1) ← distribute

     = 6x³ - 5x² + x - 12x² + 10x - 2 ← collect like terms

f(x) = 6x³ - 17x² + 11x - 2 ← cubic polynomial

Answer:

No, the weight loss program doesn't have statistical​ significance.

Step-by-step explanation:

We are given that in a study of a weight loss​ program, 7 subjects lost an average of 41 lbs.

It is found that there is about a 40% chance of getting such results with a diet that has no effect.

Firstly, statistical significance means that the event is sure to be happen and there is a proper statistical calculation behind it.

But here it is stated that there is a 40​% chance of getting such results with a diet that has no effect which means that the event is unlikely to happen by chance and it is just a prediction so, the weight loss program is not statistically significant.

Now, practically significant means that there is a large difference in the subjects being tested.

Here, the weight loss program is considered to be practically significant because there is a large amount of weight loss of 43 lbs of the subjects which is a large amount.

Answer:

The answer is below

Step-by-step explanation:

In circle O, RT and SU are diameters. Circle O is shown. Line segments S U and R T are diameters. Line segment O V is a radius. Point V is between points R and U. Angle S O R is (13 x) degrees and angle T O U is (15 x minus 8) degrees. If mArc R V = mArc V U , what is mArc V U ? 47° 52° 64°  87°

Given that:

mArc R V = mArc V U, Angle S O R = 13 x degrees and angle T O U = 15 x - 8 degrees

∠SOR = ∠TOU  (Vertically opposite angles are equal). Therefore:

13 x = 15x - 8

solving by calculating the value of x to satisfy the equation: Subtracting 13x from both sides

13x - 13x = 15x - 8 - 13x

0 = 15x - 13x - 8

2x - 8 = 0

Adding 8 to both sides:

2x - 8 + 8 = 0 + 8

2x = 8

2x/2 = 8/2  

x = 4

∠SOR = 13x = 13(4) = 52°

∠TOU = 15x - 8 = 15(4) - 8 = 60 - 8 = 52°

Let a = mArc R V = mArc V U

Therefore:

mArc R V + mArc V U + ∠TOU = 180 (sum of angles on a straight line)

Substituting:

a + a + 52 = 180

2a = 180-52

2a = 128

a = 128/2

a= 64°

mArc R V = mArc V U = 64°

Answer:

C) 64 degrees

Step-by-step explanation:

just took the test on edg2020

Answer:

I think its 8

Step-by-step explanation: