Explain how you can determine the number of real number solutions of a system of equations in which one equation is linear and the other is quadratic–without graphing the system of equations.

Answer:

288 in²

Step-by-step explanation:

The formula used to solve this question is :

Lateral Surface Area = s( P1 + P2)

Where s = slant height = 2 inches

P1 and P2 = Perimeter of the bases

Perimeter of base 1 = 4 × length of the end of the small square

4 × 17 inches = 68 inches

Perimeter of base 2 = 4 × length of the end of the large square

4 × 19 inches = 76 inches

Lateral Surface Area = 2 × (68 + 76)

= 2 × 144

= 288 in²

Confidence interval for mean, when population standard deviation is unknown:

[tex]\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}[/tex]

, where [tex]\overline{x}[/tex] = sample mean

n= sample size

s= sample standard deviation

[tex]t_{\alpha/2}[/tex] = Critical t-value for n-1 degrees of freedom

We assume the population has a normal distribution.

Given, n= 19 , s= 3.8 , [tex]\overline{x}=22.4[/tex]

[tex]\alpha=1-0.99=0.01[/tex]

A) Critical t value for [tex]\alpha/2=0.005[/tex] and degree of 18 freedom

[tex]t_{\alpha/2}[/tex] = 2.8784

B) Required confidence interval:

[tex]22.4\pm ( 2.8744)\dfrac{3.8}{\sqrt{19}}\\\\=22.4\pm2.5058\\\\=(22.4-2.5058,\ 22.4+2.5058)=(19.8942,\ 24.9058)\approx(19.9,\ 24.9)[/tex]

Lower bound = 19.9 years

Uppen bound = 24.9 years

C) Interpretation: We are 99% confident that the true population mean of lies in (19.9, 24.9) .

Answer:

  the basketball's height is 4 meters at a horizontal distance of R from Kaori

Step-by-step explanation:

The function description tells you that the statement H(R)=4 means the basketball's height is 4 meters at a horizontal distance of R from Kaori.

Answer:

At a horizontal distance of R meters from Kaori, the ball's height was equal to 4 meters.

Step-by-step explanation:

Answer:

[tex]x^{2}[/tex]

Step-by-step explanation:

because x^{2} represents the quadratic equation, so I don't think it will affect it

Answer:

  2.86 seconds

Step-by-step explanation:

A graphing calculator shows the ball hits the ground at t = 2.86 seconds.

_____

You can use the quadratic formula with a=-16, b=45, c=2:

  [tex]x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x=\dfrac{-45\pm\sqrt{45^2-4(-16)(2)}}{2(-16)}=\dfrac{45\pm\sqrt{2153}}{32}\approx\{-0.0438,2.8563\}[/tex]

The ball is in the air for about 2.86 seconds.

The required length of the base is 18 units for the square pyramid.

The square pyramid shown below has a slant height of 17 units and a vertical height of 15 units. What is the length of one of the bases of the pyramid to be determined?

In a right-angled triangle, its side, such as hypotenuse, perpendicular, and the base is Pythagorean triplets.

The verticle height = 15
Slant height = 17
Let the base length be a,
For the half slant profile applying the Pythagorean theorem,
slant heigth² = vertical height² +  base length ²
17² = 15² + ( a/2 )²
289 - 225  =  ( a/2 )²
( a/2 )² = 64
a/2 =8
a = 16

Thus, the required length of the base is 18 units for the square pyramid.

Learn  more about Pythagorean triplets here:

brainly.com/question/22160915

#SPJ5

Answer:

3x + 4y ≥ 82

Step-by-step explanation:

3x + 4y ≥ 82

we can read as: 3 time of right answers of true/false plus 4 times of right answers of multiple choice must be bigger or at least 82

Answer:

m ∠DBC=80−10=70

m ∠ABC=80+30=110

Step-by-step explanation:

m ∠DBC+m ∠ABC=180

( x−10)+(x+30.)=180

2x+20=180

2x=180-20

2x=160

x=80

>>m ∠DBC=80−10=70

>>m ∠ABC=80+30=110

Answer:

[tex]\boxed{<DBC = 70 degrees}\\\boxed{<ABC = 110 degrees}[/tex]

Step-by-step explanation:

∠ABC and ∠DBC are supplementary which means that the sum of these two angles is equal to 180.

∠ABC + ∠DBC = 180

Given that: ∠ABC = x+30 and ∠DBC = x - 10

So,

=> x+30+x-10 = 180

=> 2x+20 = 180

=> 2x = 180-20

=> 2x = 160

Dividing both sides by 2

=> x = 80

Now, Finding measures of the angles.

=> ∠DBC = x-10 = 80-10 = 70 degrees

=> ∠ABC = x+30 =80+30 = 110 degrees

Answer:

3

Step-by-step explanation:

We are adding 2 each time

-3 +2 = -1

-1 +2 = 1

To get the next term add 2

1 +2 = 3

Answer: 3

Step-by-step explanation:

Answer:

Answers are below.

Step-by-step explanation:

Sin θ = Opposite / Hypotenuse

Cos θ = Adjacent / Hypotenuse

Tan θ = Opposite / Adjacent

1) sin (60) = 16/x

x = 16/(sin 60)

x ≈ 18.46

2) cos (45) = x/13

13 cos(45) = x

x ≈ 9.19

3) tan (53) = 10/x

x = 10/tan(53)

x ≈ 7.54

4) tan (21) = x/12

12 tan(21) = x

x ≈ 4.61

Answer:

29%

Step-by-step explanation:

48-34 = 14 dollar saving

14/48 = 29.17 % = 29% saving

Answer:

29%

Step-by-step explanation:

48-34= 14 dollar saving

14/48 = 29.17% = 29% saving

Answer:

A

Step-by-step explanation:

consider the form g(x) = aX^2, where a is negative, means the curve is flip upside down.

-3, shifted down for 3 units.

Answer:

The answer is D.

Step-by-step explanation:

When x=0, then y=300, so it has to be more than that.

When x=25, y=300, so it has to be less than that.

Answer:

p²q³ + pq and pq(pq² + 1)

Step-by-step explanation:

Given

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Required

Collect like terms

We start by rewriting the expression

3p²q² - 3p²q³ +4p²q³ -3p²q² + pq

Collect like terms

3p²q² -3p²q² - 3p²q³ +4p²q³ + pq

Group like terms

(3p²q² -3p²q²) - (3p²q³ - 4p²q³ ) + pq

Perform arithmetic operations on like terms

(0) - (-p²q³) + pq

- (-p²q³) + pq

Open bracket

p²q³ + pq

The answer can be further simplified

Factorize p²q³ + pq

pq(pq² + 1)

Hence, 3p²q² - 3p²q³ +4p²q³ -3p²q² + pq is equivalent to p²q³ + pq and pq(pq² + 1)

Answer: x ≥  -5

Step-by-step explanation:

First, let's see how the function f(x) = IxI works:

if x ≥ 0, IxI = x

if x ≤ 0, IxI = -x

Notice that for 0, I0I = 0.

Ok, we want that:

|x+5| = x+5

Notice that this is equivalent to:

IxI = x

This means that  |x+5| = x+5 is only true when:

(x + 5) ≥ 0

from this we can find the possible values of x:

we can subtract 5 to both sides and get:

(x + 5) -5 ≥ 0 - 5

x ≥  -5

So the graph in the number line will be a black dot in x = -5, and all the right region shaded.

something like:

-7__-6__-5__-4__-3__-2__-1__0__1__2__3__4__ ...

Answer:

? = 3

Step-by-step explanation:

The parallel segments shown divide the sides in the ratio

[tex]\frac{6}{4}[/tex] = [tex]\frac{?}{2}[/tex] ( cross- multiply )

4? = 12 ( divide both sides by 4 )

? = 3

Answer:

a = 11.71 ; b = 15.56

Step-by-step explanation:

For this problem, we need two things.  The law of sines, and the sum of the interior angles of a triangle.

The law of sines is simply:

sin(A)/a = sin(B)/b = sin(C)/c

And the sum of interior angles of a triangle is 180.

45 + 110 + <C = 180

<C = 25

We can find the sides by simply applying the law of sines.

length b

7/sin(25) = b/sin(110)

b = 7sin(110)/sin(25)

b = 15.56

length a

7/sin(25) = a/sin(45)

a = 7sin(45)/sin(25)

a = 11.71

Answer: B.)  1,500,000 centimeters

Step-by-step explanation: I took the test on it! a little hint, If you would've just looked up " Convert 15,000 meters to Centimetres. " The answer would've shown up with the accurate calculator that google has provided! Hope that helps luv <3

Answer:

1,000,000

hope this helps <3

Answer:

[tex]2ab - 6a + 5b - 15[/tex]

Step-by-step explanation:

Given

[tex]2ab - 6a + 5b + \_[/tex]

Required

Fill in the gap to produce the product of linear expressions

[tex]2ab - 6a + 5b + \_[/tex]

Split to 2

[tex](2ab - 6a) + (5b + \_)[/tex]

Factorize the first bracket

[tex]2a(b - 3) + (5b + \_)[/tex]

Represent the _ with X

[tex]2a(b - 3) + (5b + X)[/tex]

Factorize the second bracket

[tex]2a(b - 3) + 5(b + \frac{X}{5})[/tex]

To result in a linear expression, then the following condition must be satisfied;

[tex]b - 3 = b + \frac{X}{5}[/tex]

Subtract b from both sides

[tex]b - b- 3 = b - b+ \frac{X}{5}[/tex]

[tex]- 3 = \frac{X}{5}[/tex]

Multiply both sides by 5

[tex]- 3 * 5 = \frac{X}{5} * 5[/tex]

[tex]X = -15[/tex]

Substitute -15 for X in [tex]2a(b - 3) + 5(b + \frac{X}{5})[/tex]

[tex]2a(b - 3) + 5(b + \frac{-15}{5})[/tex]

[tex]2a(b - 3) + 5(b - \frac{15}{5})[/tex]

[tex]2a(b - 3) + 5(b - 3)[/tex]

[tex](2a + 5)(b - 3)[/tex]

The two linear expressions are [tex](2a+ 5)[/tex] and [tex](b - 3)[/tex]

Their product will result in [tex]2ab - 6a + 5b - 15[/tex]

Hence, the constant is -15

Answer: Shania types 30 words in 1 minute. --> (1, 30)  

Shania types 120 words in 4 minutes. --> (4,120)

Shania types 150 words in 5 minutes. ---> (5, 150)

Step-by-step explanation:

In the given graph, At x-axis we have Time (minutes) which is an independent variable. On the other hand, at y-axis we have Words type which is dependent varaible.

Point on graph is written in the form (x,y)

So, points corresponding to

Shania types 30 words in 1 minute. --> (1, 30)  [here x= 1 and y=30]

Shania types 120 words in 4 minutes. --> (4,120) [here x=4 and y=120]

Shania types 150 words in 5 minutes. ---> (5, 150)[here x= 5 and y=150]

Answer:

13 lbs

Step-by-step explanation:

Answer:  60.1

Step-by-step explanation:  If you did 13/15 and then took  sin-1  and got 60.07356513, you did everything right.

But sometimes they want the answer rounded to one decimal point.

So try 60.1

Answer:

B.

Step-by-step explanation:

To get the inverse of the function defined by the table given, all you need to do is to interchange the coordinate pairs.

That is, the coordinates pair on a table that defines a function is usually given as (x, y). The inverse of the function would be (y, x).

The following are the coordinate pairs given and the inverse of the function represented:

(x, y) => inverse = (y, x)

(7, 21) => inverse = (21, 7)

(10, 30) => inverse = (30, 10)

(13, 39) => inverse = (39, 13)

(16, 48) => inverse = (48, 16)

The table that represents the inverse of the function given in the question is option B

Answer:

50 square units

Step-by-step explanation:

When graphed you have a width  of 5 and a length of 10 so multiply them together to get 50

Answer:

Step-by-step explanation:

I have this question too. I think it is 45. sorry if its incorrect

Answer:

Step-by-step explanation:

From the circle it can be seen that the angle ∠EQD lies on the circumference of the circle. A circumference of a circle is known to be any point on the circle. Also we have central angle ∠ECD of 104°

In circle geometry, there is a theorem that states; Angle at the center of a circle is twice the angle at the circumference. Applying this theorem to the given question we can say, ∠ECD = 2∠EQD

Substituting the given value;

104° = 2∠EQD

Dividing both sides by 2

104/2 = 2∠EQD/2

∠EQD = 104/2

∠EQD = 72°

Answer: The answer is 52.

Step-by-step explanation:

Answer:

(5, -3)

Step-by-step explanation:

Coordinates are located on Cartesian planes (more like locating a point on a graph). Cartesian coordinates can be two dimensional or three dimensional in nature depending on the number of axis we are considering. For the question, the dimension of the required coordinate is 2-dimensional i.e (x,y).

On the Cartesian plane, we have the x axis along the horizontal plane and y axis along the vertical.

Note that positive values lies towards the right of the x-axis and also up the y-axis. The negative values lies towards the left of the x-axis and also down the y-axis.

According to the question, if a point is lying on x axis at a distance of 5 units to the right of x axis, then the value of x will be +5 i.e x = +5

Also, if a point lies on the y axis at a distance of 3 units below the origin, then the value of y will be -3 i.e y = -3.

Hence, the coordinates satisfying this points (x,y) is (5, -3)

Answer:

StartFraction 24 Over 65 EndFraction

Step-by-step explanation:

Total number of students = 26

Number of boys = 10

Number of girls = 26-10

=16

Eduardo has to pull two names out of the hat without replacing them.

First name

Probability= Favourable outcome/Total outcome

Probability of girls=16

Total probability=26

Eduardo has to pull two names out of the hat without replacing them.

Probability= Favourable outcome/Total outcome

=16/26

=8/13

For the second name:

Without replacement of the first hat

Probability of girls=16-1=15

Total probability=26-1=25

Probability= Favourable outcome/Total outcome

=15/25

=3/5

Probability of both of Eduardo's partner for the group project will be girls=8/13*3/5

=24/65

StartFraction 24 Over 65 EndFraction

Answer:

B.) 24/65

Step-by-step explanation:

Took the test

Question:

Find the value of the letter in each of the following and give reasons for the steps involved:

1 2 A

+ 6 A B =

A 0 9

Answer:

128 + 681 =  809

Step-by-step explanation:

Here, let's use the general form of numbers where any  letter must represent one value and each digit must be represented by just one letter.

Take the following:

A = 8

B = 1

Thus, A +B = 8 + 1 = 9

Also add:

8 + 2 = 10

In general form, tens digit is zero and the 1 is carried over.

I.e, A = 1 + 6 + 1 = 8

We can now see that,

A = 8

B = 1

Therefore,

1 2 A

+ 6 A B =

A 0 9

Will be written as:

128 + 681 =  809

Answer: 46 eggs

Step-by-step explanation:

There are 12 eggs in a dozen.  Thus, there are 3 5/6*12, or 46 eggs.

Hope it helps <3