3.
A passenger jet can fly 1,290 mil
in 3 hours with a tailwind bi
1,230 miles in 3 hours
headwind. Find the speed
the Jet in Still air and the
of the wind.

9514 1404 393

Answer:

  (a)  c = 4

  (b)  c < 4

  (c)  c > 4

Step-by-step explanation:

(a) The solutions to the system of equations can be found by substituting one expression for y into the other equation:

  3x^2 -5x = 2x^2 -x -c

  x^2 -4x +c = 0 . . . . . . . subtract the right side expression

The discriminant is

  d = b^2-4ac = (4)^2 -4(1)(c) = 16-4c.

The system will have exactly one solution when d = 0.

  16 -4c = 0

  4 -c = 0

__

(b) There will be more than one real solution when d > 0

  4 -c > 0

  c < 4 . . . . two real solutions

__

(c) There will be no real solutions when d < 0.

  4 -c < 0

  c > 4 . . . . no real solutions

_____

Additional comment

The question posed here simply asks for a value of c. It does not ask for the solutions (x, y). We can count them without knowing exactly what they are.

Answer:

9000

Step-by-step explanation:

Answer: 752

Step-by-step explanation:

Given that,

Margin of error = 3% = 0.03

confidence level = 90% = 0.90

therefore from the z-table

z = 1.645

Now since no prior estimate of p is given, so we say p = 0.5

Sample size required will be

n = 1.645² × 0.5 ×(1-0.5) / 0.03² = 751.67

n = 751.67 ≈ 752

The outlier of the graph is

An outlier is an isolated data point that significantly differs from the entirety of the points within a dataset. It is an observation that resides an exceptional distance away compared to other values in a random sample from a population.

Outliers can be identified employing various statistical techniques, like graphical methods (for instance, box plots, scatterplots) and numerical procedures (e.g., Z-score, IQR method).

The problem used a scatter plot plot to show that the outlier is (5, 1)

Learn more about outlier at

https://brainly.com/question/22324006

#SPJ1

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

For such more questions on present value

https://brainly.com/question/30390056

#SPJ8

From the given statement:

To determine the fraction amount of the classes that like oatmeal, we add the fraction that likes oatmeal from each class.

To add the fraction, the first step is to find the lowest common multiple (L.C.M) of the denominators.

L.C.M of 3 and 4 is 12

Therefore:

We can then say that the fraction amount of the classes that like oatmeal is 11/12.

After considering all the given data we conclude that the area of the given figure is 80, under the condition that the given figure is a rhombus.

Let us name the rhombus as ABCD, now looking at the figure we can detect that there are two diagonals crossing each other making a point  E, this allows the  two  diagonals to split in four smaller lines that are congruent in value
Then
Line AE = 5ft and Line ED = 5ft (because of congruency)
Line CE = 8ft and Line EB = 8ft(because of congruency)
Therefore,
Now we know that the diagonals
AD = 10ft
CB = 18 ft
The area of a rhombus can be evaluated applying the formula
Area = (d1 × d2) / 2,
Here,
d1 and d2 = lengths of the diagonals.
For this case, the diagonals are 10 ft and 16 ft.
Then, the area of the rhombus is
(10 × 16) / 2
= 80
Then, the area of the given figure is 80.
To learn more about rhombus
https://brainly.com/question/29629002
#SPJ1

Answer:

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

Let the cost of the meal be x.

Adding a tip of 19%:

Answer:

Wyatt should multiply with 1.19.

Step-by-step explanation:

Forming the expression,

→ 1 + (19% of 1)

Now the required number is,

→ 1 + (19% of 1)

→ 1 + ((19/100) × 1)

→ 1 + (19/100)

→ 1 + 0.19 = 1.19

Hence, required number is 1.19.

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

\(x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800\)

Taking square root on both sides

\(\sqrt{x^2}=\sqrt{1800}\\x=42.4\)

Hence,

The length of side is 42.4 inches.

The child will have $9.92 in his piggy bank.

What is basic arithmetic operations?

Basic arithmetic operations are the foundation of mathematics and include addition, subtraction, multiplication, and division. These operations are used to perform mathematical calculations and are necessary for solving a wide range of problems, from simple arithmetic problems to more complex mathematical equations.

The child has $9.30 and spends $0.13 on a snow cone, so their piggy bank balance becomes $9.30 - $0.13 = $9.17.

After finding $0.75 to put in the piggy bank, the child now has $9.17 + $0.75 = $9.92 in their piggy bank.

Hence, the child will have $9.92 in his piggy bank.

To learn more about basic arithmetic operations, visit:

https://brainly.com/question/4721701

#SPJ1

Answer:

it is 3/4

Step-by-step explanation:

I got it right no my test

Answer:

25.8

Step-by-step explanation:

Answer:

what grade is this for?

Step-by-step explanation:

If wheel on a scooter completes 124 revolutions and travels 22.4 meters then  diameter of the wheel is 57 mm

Each revolution of the wheel covers a distance equal to the circumference of the wheel.

The diameter of the wheel "d".

The distance covered in 124 revolutions is:

distance = 124 x circumference

= 124 x pi x d

= 124 x 3.14 x d

We know that this distance is equal to 22.4 meters, so we can set up an equation:

124 x 3.14 x d = 22.4

Simplifying and solving for d:

d = 22.4 / (124 x 3.14)

d = 0.057 meters

As we know that 1 meter is equal to thousand millimeters so multiply by 1000 to get in millimeters

d = 57 millimeters

Therefore, the diameter of the wheel is approximately 57 mm.

To learn more on Circles click:

https://brainly.com/question/11833983

#SPJ1

Answer:

(A) Mean

(B)  Mean

(C) Mode

Hope this helps!

And hit Brainlest if ya want! ;))

Answer: hundredths place

Step-by-step explanation:

Hundredths place is the second number after the decimal point

Uditi is not correct because the tray cannot hold at 6 pairs of shoes.

The first step is to calculate how big the tray must be. To do this, follow these steps:

1. Calculate the average or mean of the width of a pair of shoes.

2.Find out the total width of 6 pairs:

3. Add 10%.

4.Add 3 cm in each side.

This means 131.136 is the ideal length of the tray based on the width of the shoes, and therefore the model Uditi's drew is not enough to hold 6 pairs of shoes.

Learn more about width in: https://brainly.com/question/26613529

The measure of the inscribed angle G in the circle is 85 degree.

An inscribed angle is simply an angle with its vertex on the circle and whose sides are chords.

The relationhip between an an inscribed angle and intercepted arc is expressed as:

Inscribed angle = 1/2 × intercepted arc.

Since the circle equals 360 degrees, we can determine the intercepted arc DF.

Hence:

Arc DF = 360 - ( 70 + 120 )

Arc DF = 360 - 190

Arc DF = 170°

Now, plug the value into the above formula:

Inscribed angle = 1/2 × intercepted arc.

Inscribed angle G = 1/2 × 170°

Inscribed angle G = 85°

Therefore, angle G has a measure of 85 degree.

Learn more about inscribed angles here: brainly.com/question/29017677

#SPJ1

The polynomial function f(x) which produced the graph shown is f(x) = -6(x - 1/2)²(x + 1)²(x - 2).

In Mathematics and Geometry, a polynomial graph touches the x-axis at zeros, roots, solutions, x-intercepts, and factors with even multiplicities.

By critically observing the graph of the polynomial function shown above, we can logically deduce that its x-intercepts include the following;

x = -1 ⇒ x + 1 = 0.

x = 2 ⇒ x - 2 = 0.

Also, the graph has a zero of multiplicity 2 at x = 1/2;

x = 1/2 ⇒ x - 1/2 = 0.

(x - 1/2)²

In this context, an equation that represent the polynomial function is given by:

f(x) = a(x - 1/2)²(x + 1)²(x - 2)

By evaluating and solving for the leading coefficient "a" in this polynomial function based on the y-intercept (0, 3), we have;

3 = a(0 - 1/2)²(0 + 1)²(0 - 2)

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

3 = -a/2

a = -6.

Therefore, the required polynomial function is given by:

f(x) = -6(x - 1/2)²(x + 1)²(x - 2)

Read more on polynomial function here: brainly.com/question/14625910

#SPJ1

Answer:

Step-by-step explanation:

To find the area of the shaded region, we need to first find the x-coordinates of the points where the two functions intersect. We can set f(x) = g(x) and solve for x:

x^4 - 12x^3 + 48x^2 = 44x + 105

x^4 - 12x^3 + 48x^2 - 44x - 105 = 0

We can use a numerical method, such as the Newton-Raphson method, to approximate the roots of this equation. Using a graphing calculator or computer algebra system, we can find that the roots are approximately:

x = -1.932, x = 0.695, x = 4.149

Note that the root x = -1.932 is outside the given interval [3, 4], so we can ignore it.

The shaded region is bounded by the x-axis, the line y = 340, and the graphs of f(x) and g(x) between x = 3 and x = 4. To find the area of this region, we can integrate the difference between the two functions over this interval:

A = ∫3^4 [g(x) - f(x)] dx

A = ∫3^4 [44x + 105 - (x^4 - 12x^3 + 48x^2)] dx

A = ∫3^4 [-x^4 + 12x^3 - 48x^2 + 44x + 105] dx

We can integrate term by term using the power rule:

A = [-x^5/5 + 3x^4 - 16x^3 + 22x^2 + 105x]3^4

A = [-1024/5 + 192 - 192 + 22 + 105] - [-81/5 + 108 - 192 + 66 + 105]

A = 347.2

Therefore, the area of the shaded region is approximately 347.2 square units.

Answer:

c)

Step-by-step explanation:

Answer: four textbooks

Step-by-step explanation:

Answer:

C and D

Step-by-step explanation:

We want to find the equations where b=11 is a solution. Let's test each answer. choice. Plug 11 in for b and solve.

A. 2b= 211

2(11)=211

Multiply 2 and 11.  

22≠211

22 does not equal 211, therefore this choice is not correct.

B. b+18=7

11+18=7

Add 11 and 18.

29 ≠ 7

29 does not equal 7, so this is not correct.

C. 77=7b

77=7(11)

Multiply 7 and 11.

77=77

77 does equal 77, so this is correct.

D. 9=b-2

9=11-2

Subtract 2 from 11.

9=9

9 equals 9, so this correct too.

E. 11=33/b

11=33/11

Divide 33 by 11.

11≠3

11 does not equal 3, so this is not the right choice.

b= 11 is a solution for C. 77-7b and D. 9=b-2

Answer:

  ∠2 = 55°

Step-by-step explanation:

Given the linear pair of angles, ∠1 and ∠2, with ∠1 = 125°, you want the measure of angle 2.

Angles of a linear pair are supplementary, so ...

  ∠2 = 180° -∠1

  ∠2 = 180° -125°

  ∠2 = 55°

__

Additional comments

Your problem 4 gives the measure of ∠3 as 55°. Angles 2 and 3 are vertical angles, so congruent to each other. This tells you immediately that ∠2 = 55° with no math involved. (If the lines are parallel, they are also congruent to corresponding angles 6 and 7.)

The measures of angles 1-4 are related to each other as congruent or supplementary, without regard to the lines being parallel. The parallelism of the lines only comes into play when you are relating angles 1–4 to angles 5–8.

Answer:

360 cm^2

Step-by-step explanation:

The length of the rectangle can be found using the formula for perimeter:

Perimeter = 2 * (length + width)

Rearranging the equation, we can solve for the length:

length = (Perimeter - 2 * width) / 2

Plugging in the given values:

length = (78 - 2 * 15) / 2 = (78 - 30) / 2 = 48 / 2 = 24 cm

Next, the area of the rectangle can be found using the formula:

Area = length * width

Plugging in the given values:

Area = 24 * 15 = 360 cm^2

Answer:

3 and 9

Step-by-step explanation:

x+y=12

y-x=6

y-x=6

 +x.  +x

y=6+x

x+(6+x)=12

6+2x=12

-6.    -6

2x=6

/2. /2

x=3

3+y=12

-3.  -3

y=9

Hopes this helps please mark brainliest