What is the length of the hypotenuse of the triangle when x​=15?

Answer:

To determine the nature of roots of quadratic equations (in the form ax^2 + bx +c=0) , we need to calculate the discriminant, which is b^2 - 4 a c. When discriminant is greater than zero, the roots are unequal and real. When discriminant is equal to zero, the roots are equal and real.

ANSWER:

when the value of (b^2-4ac) is positive, then the roots are real and distinct.

when it is 0 the roots are equal and if it is negative than its root is not real.

Answer:

21600cm^3

Step-by-step explanation:

7200cm^3÷30cm=24cm

24cm×30cm×40cm

=21600cm^3

Answer:

Quadrant 4

Step-by-step explanation:

Csc = 1/sin

Cos is positive in quadrants 1 and 4

Sin is negative in quadrants 3 and 4

Answer:

17b + bx + a over 34 =x

Answer:

Shoot I don't know but this is as far as I got until I got confused.

Step-by-step explanation:

17b + bx = 24x - a

-17b        =   - 17b

-24x       =   -24x

------------------------------

-24x + bx = -17b - a

-24x + bx/b = -17b/b - a/b

-24x + x = -17b - a/b

-23x = -17b - a/b

-23x/-23 = -17b/-23 - a/b/-23

x =

The test statistic is given as follows:

z = -1.29.

The p-value is given as follows:

0.0985.

The equation for the test statistic is given as follows:

\(z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}\)

In which:

The parameters for this problem are given as follows:

\(\overline{p} = \frac{380}{1000} = 0.38, p = 0.4, n = 1000\)

Hence the test statistic is calculated as follows:

\(z = \frac{0.38 - 0.4}{\sqrt{\frac{0.4(0.6)}{1000}}}\)

z = -1.29.

Looking at the z-tabe with z = -1.29, the p-value is given as follows:

0.0985.

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Question 13.

The estimated monthly cost of an energy-efficient refrigerator is $57, meaning the yearly cost is

Question 14.

The least energy-efficient refrigerator costs $72 per month, meaning the annual cost is

Therefore, the amount you will save on an energy-efficient refrigerator be

Hence, the amount saved on an energy-efficient refrigerator will be $180.

Answer:

8

2

+

1

3

Step-by-step explanation:

Answer:

D) 4

Step-by-step explanation:

4/3 divided by 1/3

4/3 * 3/1= 4

Based on the information given on the fraction, the number of mugs will be 4.

From the information, David made 4/3 of a quart of fruit juice and each mug he has holds 1/3 of quart.

Therefore, the number of mugs that can be filled will be;

= 4/3 ÷ 1/3

= 4/3 × 3/1

= 4

In conclusion, the correct option is 4.

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Answer:

- 7 < x < 4

Step-by-step explanation:

- 6 < 2x + 8 < 16 ( subtract 8 from each interval )

- 14 < 2x < 8 ( divide each interval by 2 )

- 7 < x < 8

The value of x is either 3 or -5 based on the distance formula.

What is a co-ordinate system?

In pure mathematics, a coordinate system could be a system that uses one or additional numbers, or coordinates, to uniquely confirm the position of the points or different geometric components on a manifold like euclidean space.

Main body:

according to question

Given points A(-1,4) and B(x,7)

Also AB = 5 cm

Formula of distance = \(\sqrt{(y1-y2)^{2}+(x1 -x2)^{2} }\)

here by using points ,

5 = \(\sqrt{(x+1)^{2} +(7-4)^{2} }\)

taking square on both side ,'

25 = \((x+1)^{2} +3^{2}\)

25-9 = (x+1)²

16 = (x+1)²

taking square root on both sides,

x+1= ±4

x = 4-1 = 3                                  or              x = -4-1 = -5

Hence value of x is either 3 or -5.

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Answer:

The ratio of the new area to the old area will be 16:1

Step-by-step explanation:

I remember learning this in class. The radius is quadrupled, which means the radius is 4 times bigger. This will make the new area 16 times bigger than the old area.

Let's check

Area of circle: 3.14 x r^2

Area of the circle when radius 6:

3.14 (6)^2 = 113.04 ft^2

Area of the new circle when the radius is quadrupled:

3.14 (24)^2 = 1808.64 ft^2

1808.64 divided by 113.04 = 16

So, the ratio of the new area to the old area will be 16:1

The estimated number of birdhouses with one nest in non-golf locations would depend on the overall number of birdhouses in the non-golf locations if the proportion of nests occupied is the same for golf and non-golf sites.

Let's assume that there are a total of N birdhouses in the non golf locations, and that the proportion of nests occupied in both golf and non golf sites is p. The proportion of birdhouses with one nest in the non-golf locations would likewise be p since the proportions of nests occupied are the same for both locations. 

As a result, the anticipated number of birdhouses with one nest in areas other than golf courses would be:

Expected count = proportion of birdhouses with 1 nest x total number of birdhouses

Expected count = p x N

So, if we know the value of p and N, we can calculate the expected count of birdhouses with 1 nest in nongolf locations.

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Answer:

1

Step-by-step explanation:

1=1

Answer:1/4

Step-by-step explanation:

Answer:

1/4th

Step-by-step explanation:

Answer:

43.103m³

Step-by-step explanation:

This is just finding the volume of a cylinder problem.

Area of a circle = πr²

Area of circle * length of cylinder = volume

3.14*(1.4)² = 6.158m²

6.158*7 = 43.103m³

Answer:

AB and GF

Step-by-step explanation:

The answer is AB and GF ;)

a. The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b. The probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c. Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

a) The three characteristics of this scenario that indicate we are working with Bernoulli trials are:

The experiment consists of a fixed number of trials (eight shots).

Each trial (shot) has two possible outcomes: hitting the target or missing the target.

The probability of success (hitting the target) is constant for each trial (88% or 0.88).

b) To find the probability of hitting the 6th target (considered as a single trial), we can use the binomial probability formula:

P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)

where:

P(X = k) is the probability of getting exactly k successes,

C(n, k) is the binomial coefficient or number of ways to choose k successes out of n trials,

p is the probability of success in a single trial, and

n is the total number of trials.

In this case, k = 1 (hitting the target once), p = 0.88, and n = 1. Therefore, the probability of hitting the 6th target is:

P(X = 1) = C(1, 1) * 0.88^1 * (1 - 0.88)^(1 - 1) = 0.88

c) To find the probability that the first time hitting the target is not until the 4th shot, we need to consider the complementary event. The complementary event is hitting the target before the 4th shot.

P(not hitting until the 4th shot) = P(hitting on the 4th shot or later) = 1 - P(hitting on or before the 3rd shot)

The probability of hitting on or before the 3rd shot is the sum of the probabilities of hitting on the 1st, 2nd, and 3rd shots:

P(hitting on or before the 3rd shot) = P(X ≤ 3) = P(X = 1) + P(X = 2) + P(X = 3)

Using the binomial probability formula as before, with p = 0.88 and n = 3:

P(X = 1) = C(3, 1) * 0.88^1 * (1 - 0.88)^(3 - 1)

P(X = 2) = C(3, 2) * 0.88^2 * (1 - 0.88)^(3 - 2)

P(X = 3) = C(3, 3) * 0.88^3 * (1 - 0.88)^(3 - 3)

Calculate these probabilities and sum them up to find P(hitting on or before the 3rd shot), and then subtract from 1 to find the desired probability.

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Answer: 3.  (3,-3) and 4. (-3,4)

Step-by-step explanation: Number 4 is self explanatory of what they are and number 3, you need to figure out what minus 6 equals -3 and that happens to be 3.

Answer:

Step-by-step explanation:

Solving systems of equations gives the points of intersection when the equations are graphed.

The answer is 3.

Answer:

Around 376.99

Step-by-step explanation:

the formula is 2πrh+2πr²

so if we plug in everything we get 2π(4)(11)+2π(4)²

When we simplify that, we would get 376.99

Answer:

whats ..... representating

is it a continuous series?

We are given the following two points

Let us plot these two points on the graph and draw a line through them.

Now let us find the slope by drawing a slope triangle between the two points.

As you can see, the rise (-6) is the vertical distance between the two points on the line.

The run (8) is the horizontal distance between the two points on the line.

So, the slope of the line is

Write the equation of the line in slope-intercept form​.

The slope-intercept form is given by

Where m is the slope and b is the y-intercept of the line.

The y-intercept is the point where the line crosses the y-axis.

From the above graph, we see that the line crosses the y-axis at -4

So, the y-intercept is -4

Therefore, the equation of the line in slope-intercept form is

The value of x/w is 1/3.

...........

Write an example from daily life that uses rational numbers .

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Answer:

1. 19.375 inches taller

2. 8.808 km farther

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.19.375

2.8.808

for the reasoning you just show that you subtracted

Answer:

7+4+2f-5f+2.

substitute the f.

7+4+2(3)-5(3)+2

Do the multiplication.

7+4+6-15+2.

11+6-15+2

17-15+2

2+2

4.

Answer:

sales tax is $0.6

total cost is $20.60

Step-by-step explanation:

20*0.03=0.6

20*1.03=20.6

The line integral of the given function can be solved using Green's theorem. Green's theorem helps to convert line integrals to double integrals of the region bounded by the path.

The line integral can be written as follows:

∫C Pdx + Qdy  = ∬ R (Q_x - P_y) dA. ... (1)

Where R is the region enclosed by C, and P and Q are functions of x and y that have continuous partial derivatives in R. In this given function, P = x + y² and Q = e^y - x².The annular region enclosed by C can be divided into two regions by another simple closed curve as shown below. {drawing}By Green's theorem, we have:

∫C Pdx + Qdy  = ∬ R (Q_x - P_y) dA. ... (1)

By evaluating (Q_x - P_y), we get, (Q_x - P_y) = -2x + 2y.We know that the double integral over the entire region enclosed by the two simple closed curves, C1 and C2 is equal to the difference of double integrals over the regions enclosed by these curves. Thus, the line integral over C can be written as follows:

∫C Pdx + Qdy = ∬ R1 (Q_x - P_y) dA - ∬ R2 (Q_x - P_y) dA  = ∬ R (Q_x - P_y) dA,

where R = R1 - R2.By using the equation (1), the line integral of the given function over C can be expressed as follows:

∫C Pdx + Qdy  = ∬ R (Q_x - P_y) dA  = ∬ R (-2x + 2y) dA.

The double integral can be written as follows:

∬ R (-2x + 2y) dA = 2∬ R (y - x) dA = 2(∬ R y dA - ∬ R x dA).

The line integral of the given function can be solved using Green's theorem. Green's theorem helps to convert line integrals to double integrals of the region bounded by the path. By using Green's theorem, the given function's line integral over the simple closed curve C can be expressed in terms of a double integral over the annular region enclosed by C. The double integral can be evaluated by converting it into two integrals over two simple closed curves, C1 and C2, that enclose the annular region. These two curves intersect each other at two points, say A and B. These points divide the region into two regions, R1 and R2, where R1 is enclosed by C1 and R2 is enclosed by C2. The line integral over C can be written as the difference between the double integrals over R1 and R2. By solving these double integrals, we get the required line integral of the given function over the path C.

Therefore, by using Green's theorem, we can easily evaluate line integrals over simple closed curves. Green's theorem helps to convert line integrals to double integrals over the region bounded by the path. The double integrals can be evaluated by dividing the region into two regions enclosed by two simple closed curves. By evaluating the double integrals over these regions, we can easily evaluate the required line integral of the given function over the simple closed curve.

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Answer:

x>50

Step-by-step explanation:

I hope this helps you