5
Choose the answer to complete each statement.
The slope of the line is
The y-intercept is at
The graph represents the function
4.
3
2
1
**
-5-4-3-2-11
2 3 4 5
1
-2
(0, -3)
ا

Answer:

  B

Step-by-step explanation:

You only need to look at the comparison symbol (≤) to determine the correct graph. It tells you the shading is below the boundary line, and the boundary line is included in the solution region (a solid line).

The shading is below the line because y-values are less than (or equal to) values on the line.

Choice B matches the attached graph.

Answer:

it is graph b

Step-by-step explanation:

Answer:  No.

Step-by-step explanation:

Integers are whole numbers. No fractions or decimals

Any integer is basically a positive or negative whole number. Zero is included as well. The fact that we have a decimal portion of 0.27 is what makes this value not be an integer.

Answer:

Less than 90

Step-by-step explanation:

All angles in a triangle add up to 180 degrees.

An obtuse angle is an angle that is greater than 90 degrees.

For simplicity's sake, let the obtuse angle be 91 degrees.

180-91=89

The remaining angles in an obtuse triangle are always acute.

Sorry for the trashy answer.

Answer:

Less than 90

Step-by-step explanation:

Answer:

a) Fx=-5N  Fy=-5*sqrt(3) N   b) Fx= 5*sqrt(3) N    Fy=-5N

c) Fx=-5*sqrt(2) N    Fy=-5*sqrt(2)   N

Step-by-step explanation:

The arrow's F ( weight) component on axle x  is Fx= F*sinA  and on axle y is

Fy=F*cosA

a) The x component and y component both are opposite directed to axle x and axle y accordingly.  So both components are negative.

So Fx = - 10*sin(30)= -5 N      Fy= -10*cos(30)= -10*sqrt(3)/2= -5*sqrt (3) N

b) Now the x component  is co directed to axle x , and y component is opposite directed to axle y.

So x component is positive and y components is negative

So Fx = 10*sin(60)= 5*sqrt(3) N       Fy= -10*cos(60)= -10*1/2= -5 N

c)The x component and y component both are opposite directed to axle x and axle y accordingly.  So both components are negative.

So Fx = - 10*sin(45)= -5*sqrt(2)  N    

 Fy= -10*cos(45)= -10*sqrt(2)/2= -5*sqrt (2) N

Answer:

d. $125, $135, $150, $130

Step-by-step explanation:

$125, $135, $150, $130

Range of the above set of numbers:

$150 - $125 = $25

Mean of numbers:

$125 + $135 + $150 + $130 = $540

540 ÷ 4 = $135

Answer:

B) [tex]x^2-3x+15[/tex]

Step-by-step explanation:

[tex]7x^2+6x-9x-6x^2+15=\\7x^2-6x^2+6x-9x+15=\\x^2+6x-9x+15=\\x^2-3x+15[/tex]

A) [tex]x^2+15x+15[/tex]

B) [tex]x^2-3x+15[/tex]

C) [tex]13x^2 + 3x + 15[/tex]

D) [tex]x^4-3x + 15[/tex]

━━━━━━━☆☆━━━━━━━

▹ Answer

B. x² - 3x + 15

▹ Step-by-Step Explanation

7x² + 6x - 9x - 6x² + 15

Collect like terms

x² + 6x - 9x + 15

Subtract

x² - 3x + 15

Final Answer

x² - 3x + 15

Hope this helps!

- CloutAnswers ❁

Brainliest is greatly appreciated!

━━━━━━━☆☆━━━━━━━

Answer:

{1,2,4,6,8,12}

Step-by-step explanation:

The union means the joining of the sets

{1, 4, 8, 12} U{2, 4, 6, 8}

= {1,2,4,6,8,12}

Answer:

{1, 2, 4, 6, 8, 12}

Step-by-step explanation:

Union of the sets is the combination of the elements in the two sets.

{1, 4, 8, 12}  ∪  {2, 4, 6, 8}

{1, 2, 4, 6, 8, 12}

Answer: 97 meters

Step-by-step explanation:

Draw 2 right triangles KLM and ABC.

ML=3.2 m  ( is a pole)  KL =1.29 m( pole's  shadow).

(The triangle KLM is right because we suppose that pole is staying vertically).

In triangle AB is tower's  shadow= 39.25 m and BC is the height og tower=x meters?

Triangles KLM and ABC are similar .

So ML/KL=x/AB

3.2/1.29=x/39.25

x=3.2*39.25/1.29= approx 97.36  meters= 97 meters

Answer:

x=4200, y=2700

Step-by-step explanation:

let x be first account

y the second

x+y=6900

0.03x+0.08y=342

solve by addition/elimination)

multiply first equation by 0.03

0.03x+0.03y=207  subtract from second

0.03x+0.03y-0.03x-0.08y=207-342

0.05y=135

y=2700, x=4200

Answer:

D. [tex]3^3 - 4^2[/tex]

Step-by-step explanation:

Well if Alia gets 4 squared less than Kelly who get 3 cubed it’s natural the expression is 3^3 - 4 ^2

Answer:

stratified random sampling technique

The sampling technique described, where sixteen students are randomly selected from each grade level, is called "stratified random sampling."

We have,

Stratification involves dividing the population (in this case, the high school students) into distinct subgroups or strata based on certain characteristics

By selecting a random sample from each stratum (each grade level), the sampling technique aims to ensure that each subgroup is represented in the sample in proportion to its size within the population.

This approach allows for a more representative sample and provides insights into the eating habits of students across different grade levels.

Thus,

The sampling technique described, where sixteen students are randomly selected from each grade level, is called "stratified random sampling."

Learn more about stratified random samplings here:

https://brainly.com/question/15604044

#SPJ4

Answer: 23 quarters 16 nickels

Step-by-step explanation: 23x$0.25=$5.75.  16x$0.05=$0.80.

$5.75+$0.80=$6.55

Answer:

6

Step-by-step explanation:

We want to find the units digit of [tex]2^{4000}[/tex]. Let's first look for a pattern:

[tex]2^{1}=2[/tex]

[tex]2^{2}=4[/tex]

[tex]2^{3}=8[/tex]

[tex]2^{4}=16[/tex]

[tex]2^{5}=32[/tex]

[tex]2^{6}=64[/tex]

[tex]2^{7}=128[/tex]

[tex]2^{8}=256[/tex]

...and so on

Notice the units digits: 2, 4, 8, 6, 2, 4, 8, 6, ... It repeats every four!

This means that for every exponent of 2 that is a multiple of 4 (like 4000 in the problem), the units digit will always be the fourth number in the repeating pattern: 6.

The answer is thus 6.

~ an aesthetics lover

Answer:

-8

Step-by-step explanation:

8ʸ = 16ʸ⁺²

(2³)ʸ = (2⁴)ʸ⁺²

2³ʸ = 2⁴ʸ⁺⁸

3y = 4y + 8

y = -8

Answer:

A. -8

Step-by-step explanation:

edge 2021

Answer:

170 children, 88 students, 85 adults

Step-by-step explanation:

x = children

y = students

z = adults

x + y + z = 343

5x + 7y + 12z= 2486

z = 1/2x

you can solve by elimination or substitution or both.

3 equations with 3 unknowns

By solving a system of equations, we conclude that:

Let's define the variables:

We know that the theater has a capacity of 343, then:

C + S + A = 343

We also know that there are half as many adults as there are children, then:

A = C/2

Finally, we know that the total profit is $2,468, then:

C*$5,00 + S*$7.00 + A*$12.00 = $2,468

So we have a system of 3 equations:

C + S + A = 343

A = C/2

C*$5,00 + S*$7.00 + A*$12.00 = $2,468

First, we can replace the second equation into the other two to get:

C + S + C/2 = 343

C*$5,00 + S*$7.00 + (C/2)*$12.00 = $2,468

Now we can rewrite the first equation as:

S = 343 - (3/2)*C

Now we can replace that on the first equation:

C*$5,00 + (343 - (3/2)*C)*$7.00 + (C/2)*$12.00 = $2,468

$2,401 + C*$0.50 = $2,468

C = ($2,468 - $2,401)/$0.50 = 134

And we know that:

A = C/2 = 134/2 = 67

And:

S =  343 - (3/2)*C =  343 - (3/2)*134 = 142

Then there are:

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ2

Answer:

  6/(49π) ≈ 0.03898 m/min

Step-by-step explanation:

  V = πr²h . . . . formula for the volume of a cylinder

  dV/dt = πr²·dh/dt . . . . differentiate to find rate of change

Solving for dh/dt and filling in the numbers, we have ...

  dh/dt = (dV/dt)/(πr²) = (6 m³/min)/(π(7 m)²) = 6/(49π) m/min

  dh/dt ≈ 0.03898 m/min

Answer:

Step-by-step explanation:

GIven that :

(a) lim (x,y)→(0,0) 5x + y √ 5x + y + 9 − 3

(b) lim (x,y)→(0,0) 2xy x 2 + y 2

We are to evaluate and determine if the limit exist or not.

From (a);

[tex]\lim \limits _{x \to y (0,0) } 5x + y \sqrt{5x} + y + 9 - 3[/tex]

x = 0

y = 0    (Since no presence of indeterminate)

= [tex]} 5(0 )+ y \sqrt{5(0)} + (0) + 9 - 3[/tex]

= 0+0+0 +9 - 3

= 6

Therefore; the limit exist

(b)

[tex]\lim \limits _{x \to y (0,0) } \dfrac{2xy}{x^2+y^2}[/tex]

If  y = mx

[tex]\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(mx)^2}[/tex]

[tex]\lim \limits _{x \to y (0,0) } \dfrac{2(mx^2)}{x^2+(m^2x^2)}[/tex]

[tex]= \dfrac{2m }{1+m^2}[/tex]

So;  the limit depends  on the value of m; then the limit does not exist

Answer/Step-by-step explanation:

*The six raw data values in the second row are for teens are: 14, 15, 15, 15, 16, and 16

*There are 6 raw data values in the 20's represented in the 3rd row. They are: 25, 25, 27, 28, 28, and 28

*There are 3 raw data values in the 30's that are represented in the 4th row. They are: 35, 36, and 36.

*There are 0 raw data values in the 40's represented in the 5th row.

*There are 21 raw data values in the entire data set. They are:

1, 2, 3, 7, 9, 14, 15, 15, 15, 16, 16, 25, 25, 27, 28, 28, 28, 35, 36, 36, and 50.

Answer:

Q(x) = 4

R(x) = 0

Step-by-step explanation:

Q(x) = 2x + 2 ----- (1)

R(x) = x² - 1 -------- (2)

i) For (R * Q)(5)  and [(Q * R)], we have as follow:

[(x² - 1)(2x + 2)] (5)

= (2x³ + 2x² - 2x - 2)(5)

= x³ + x² - x - 1

When x = -1

x³ + x² - x - 1 = 0

∴ (x³ + x² - x - 1) ÷ (x + 1) = x² - 1

If x + 1 = 0

x = -1

and x² - 1 = 0

x = 1

From (1), when x= 1: Q(x) = 4

From (2), when x= 1 or -1: R(x) = 0

Answer:

np = 81  , nQ = 99

Step-by-step explanation:

Given:

X - B ( n = 180 , P = 0.45 )

Find:

Sampling distribution has an approximate normal distribution

Computation:

nP & nQ ≥ 5

np = n × p

np = 180 × 0.45

np = 81

nQ = n × (1-p)

nQ = 180 × ( 1 - 0.45 )

nQ = 99

[tex]Therefore, sampling\ distribution\ has\ an\ approximately\ normal\ distribution.[/tex]

Answer:

[tex]\boxed{11.78}[/tex]

Step-by-step explanation:

From observations, we can note that BC is the hypotenuse.

As the length of hypotenuse is not given, we can only use tangent as our trig function.

tan(θ) = opposite/adjacent

tan(67) = x/5

5 tan(67) = x

11.77926182 = x

x ≈ 11.78

Answer:

a) It can be approximated by the normal distribution

b) Attached

c) P(X>83)=0.1136

Step-by-step explanation:

The requirement to approximate the binomial distribution by a normal distribution is that both the products np and n(1-p) are greater than 10 for the sample size.

In this case, the sample size is n=100 and the probability of success is p=0.78.

We can verify the requirement as:

[tex]np=100\cdot 0.78=78\\\\n(1-p)=100\cdot0.22=22[/tex]

The requirement is satisfied, so the binomial can be approximated to a normal distribution.

The parameters of the normal distribution will be:

[tex]\mu=np=100\cdot0.78=78\\\\\sigma=\sqrt{np(1-p)}=\sqrt{100\cdot 0.78\cdot 0.22}=\sqrt{17.16}=4.14[/tex]

We can calculate the probability that the number of people who receive spam or unwanted messages is at least 83 using the z-score for X=83 and calculate the probability using the standard normal distribution:

[tex]z=\dfrac{X-\mu}{\sigma}=\dfrac{83-78}{4.14}=\dfrac{5}{4.14}=1.2077\\\\\\P(X>83)=P(z>1.2077)=0.1136[/tex]

Answer:

b = (3V)/h

Step-by-step explanation:

You have to rearrange the equation so that it is equal to b.

V = hb/3

3(V) = (hb/3)(3)

3V = hb

(3V)/h = (hb)/h

b = (3V)/h

Answer:

the answer is 0.79 rounded to the nearest hundreth

Step-by-step explanation:

Complete Question:

Find the directional derivative of g(x,y) = [tex]x^2y^5[/tex]at the point (1, 3) in the direction toward the point (3, 1)

Answer:

Directional derivative at point (1,3),  [tex]D_ug(1,3) = \frac{162}{\sqrt{8} }[/tex]

Step-by-step explanation:

Get [tex]g'_x[/tex] and [tex]g'_y[/tex] at the point (1, 3)

g(x,y) = [tex]x^2y^5[/tex]

[tex]g'_x = 2xy^5\\g'_x|(1,3)= 2*1*3^5\\g'_x|(1,3) = 486[/tex]

[tex]g'_y = 5x^2y^4\\g'_y|(1,3)= 5*1^2* 3^4\\g'_y|(1,3)= 405[/tex]

Let P =  (1, 3) and Q = (3, 1)

Find the unit vector of PQ,

[tex]u = \frac{\bar{PQ}}{|\bar{PQ}|} \\\bar{PQ} = (3-1, 1-3) = (2, -2)\\{|\bar{PQ}| = \sqrt{2^2 + (-2)^2}\\[/tex]

[tex]|\bar{PQ}| = \sqrt{8}[/tex]

The unit vector is therefore:

[tex]u = \frac{(2, -2)}{\sqrt{8} } \\u_1 = \frac{2}{\sqrt{8} } \\u_2 = \frac{-2}{\sqrt{8} }[/tex]

The directional derivative of g is given by the equation:

[tex]D_ug(1,3) = g'_x(1,3)u_1 + g'_y(1,3)u_2\\D_ug(1,3) = (486*\frac{2}{\sqrt{8} } ) + (405*\frac{-2}{\sqrt{8} } )\\D_ug(1,3) = (\frac{972}{\sqrt{8} } ) + (\frac{-810}{\sqrt{8} } )\\D_ug(1,3) = \frac{162}{\sqrt{8} }[/tex]

Answer:

Systematic Sampling

Step-by-step explanation:

Systematic sampling is a form of sampling in which the researcher applies probability sampling such that every member of the group is selected at regular intervals or periods. The researcher picks a random starting point and after an interval must have elapsed, another sample member is chosen. This sampling method is similar to that disclosed in the question because it has the key qualities.

For example, an interval is given after the 1000th soda is tested for quality.  This means that the interval for testing can accommodate 1000 sodas after which the first member is tested again. So, this is a Systematic sampling method.

Answer:

  p(mean < 2000) ≈ 0.81

Step-by-step explanation:

Your table gives the probability the value is between z=0 and z=0.88. You want the probability the value is between -∞ and 0.88, so you have to add the probability it is between -∞ and zero. You must add 0.5 to the table value.

  p(Z < 0.88) = 0.5 +0.3106 = 0.8106

_____

Comment on table values

You probably need to do some interpolation of your table values to get accuracy to 4 significant digits. All of the calculators I use give the probability for a Z-score of 0.88388 to be about 0.8116, not 0.8106.

When working with a "half" table, you need to be aware of what the table is giving you and what you're trying to use it for. A quick sketch of the problem may be helpful. (see below)

Answer:

  y

Step-by-step explanation:

The expression

  y = f(x)

tells you that y is the dependent variable, and that it depends on x, the independent variable. The independent variable is always the function argument. Any variable that depends on that is the dependent variable.