Hi! 6 questions, find the slope of the line through the given points, ty! They should be practice questions

Answer:30

Step-by-step explanation: jus subtract total number by 45 to c what u missin

Given: [tex]\textsf{45 + x = 75}[/tex]

Need:  [tex]\textsf{The value of the unknown x}[/tex]

Solution:  In order to solve for the unknown we must subtract 45 from both sides which would isolate x and given us the value.

Subtract 45 from both sides

After simplifying the expression we were able to determine that x is equal to 30.

Step-by-step explanation:

[tex] = \sum \limits_{n = 1}^{7} ( - 2. {6}^{n - 1} )[/tex]

[tex] = \sum \limits_ {n = 1}^{n_{ \text{max}}} (a_1. {r}^{n - 1} )[/tex]

[tex] \: [/tex]

[tex]a_1 = - 2[/tex]

[tex]n = 7[/tex]

[tex]r = 6 \to r >1[/tex]

[tex] \: [/tex]

• Find S7.

[tex]s_n = a_1.( \frac{ {r}^{n} - 1}{r - n} )[/tex]

[tex]s_7 = - 2.( \frac{ {6}^{7} - 1 }{6 - 1} )[/tex]

[tex]s_7 = - 2.( \frac{279.936 - 1}{5} )[/tex]

[tex]s_7 = - 2.( \frac{279.935}{5} )[/tex]

[tex]s_7 = - 2 \: . \: 55.987[/tex]

[tex]s_7 = - 111.974[/tex]

The answer is B.

Answer:

Step-by-step explanation:

The number of groups is 3, the number of participants is 36, and the f ratio is 5.5.

The null and alternative hypotheses are two generalizations about a population that are strictly contradictory. The null hypothesis can be denoted by H₀ and the alternative hypothesis can be denoted by H₁.

The question is incomplete.

The complete question is in the picture, please refer to the attached picture.

We have:

f(2, 33) = 5.5, p < 0.01

From the above details, we can find the number of groups:

5) Number of groups = df for groups + 1

Number of groups  = 2+ 1 = 3

Option (c) is correct.

6) Number of participants =2 + 33 + 1 = 36

Option (a) is correct.

7) f ratio = 5.5

Option (a) is correct.

8) True; as the p-value is less than the 0.01 level.

Thus, the number of groups is 3, the number of participants is 36, and the f ratio is 5.5.

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Answer:

s = 12 and p = 17

Step-by-step explanation:

→ Set up 2 simultaneous equations

p + s = 29

3s + 2p = 70

→ Rearrange the first equation for p as the subject

p = 29 - s

→ Substitute into 2nd equation

3s + 58 - 2s = 70

→ Solve

s = 12

→ Substitute into first equation

p + 12 = 29

→ Solve

p = 17

Step-by-step explanation:

so, in other words, the price is

43.85 + 2.7 + 2.7 - 1.1 - 1.1 - 4.45 =

= 43.85 + 5.4 - 2.2 - 4.45 = 43.85 + 3.2 - 4.45 =

= 43.85 - 1.25 = 42.60

Answer:

2/b

Step-by-step explanation:

a/b=3b

a=3b*b

a=3b^2

6b/a=6b/(3b^2)=2/b

A function assigns the values. The correct option is B and E.

A function assigns the value of each element of one set to the other specific element of another set.

Given Marlene rides her bike at a rate of 16 miles per hour. Therefore, Marlene Speed is  16 miles/hour. Now if speed is 16 miles/hour, then time is the independent variable and distance is the dependent variable. And the speed is the slope of the function, therefore, the statements that are true of the scenario are,

The distance traveled depends on the amount of time Marlene rides her bike.

The function f(t) = 16t represents the scenario.

Hence, the correct option is B and E.

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Answer:

B and E

Step-by-step explanation:

correct on Edge

Answer:

The answer is B

Step-by-step explanation:

By proportion , 3 : 2.91 = 2: x . then you write it in fraction

Answer:

1/6

Step-by-step explanation:

Rational numbers between two rational numbers:

LCD of 2 and 3 = 6

[tex]\sf \dfrac{-1}{3}=\dfrac{-1*2}{3*2}=\dfrac{-2}{6}\\\\\dfrac{1}{2}=\dfrac{1*3}{2*3}=\dfrac{3}{6}[/tex]

[tex]\sf Rational \ number \ between \ \dfrac{-2}{6} \ and \ \dfrac{3}{6} \ is \ \bf \dfrac{1}{6}[/tex]

The area of the deck that surrounds the hot tub is 17.93 m²

The area is the amount of space within the perimeter of a 2D shape.

radius = 3/2 = 1.5 m

Area of deck,

=Area of square - area of circle

= side side- πr²

=5*5 - 3.14* 1.5*1.5

= 25- 7.065

=  17.93 m²

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Step-by-step explanation:

GIVEN

HERE

= 6+9+2+6+600÷30 { firstly add numbers }

= 623 ÷ 30

= 20

I think you understand

The center of rotation will be (0,4). The points are plotted and the center is found with the help of a graph.

It is a point locus drawn equidistant from the center. The radius of the circle is the distance from the center to the circumference.

Given points;

A(1,-3)

A'(3,5)

B(0,0)

B'(4,-6)

C is the center point of rotation.

The given points are plotted on the graph and obtained as the center of rotation will be (0,4).

Hence the center of rotation will be (0,4).

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Using limits, it is found that the end behavior of the graph is given as follows:

It rises to the left, and stays constant at y = -4 to the right.

It is given by the limits of f(x) as x goes to infinity.

In this problem, the function is given by:

[tex]f(x) = 4\left(\frac{2}{5}\right)^{x + 3} - 4[/tex]

Hence:

[tex]\lim_{x \rightarrow -\infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{5}{2}\right)^{\infty + 3} - 4 = \infty - 4 = \infty[/tex]

[tex]\lim_{x \rightarrow \infty} f(x) = \lim_{x \rightarrow -\infty} 4\left(\frac{2}{5}\right)^{x + 3} - 4 = 4\left(\frac{2}{5}\right)^{\infty + 3} - 4 = 0 - 4 = -4[/tex]

Hence:

It rises to the left, and stays constant at y = -4 to the right.

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Answer:

it takes 48 days for 15 men to work

it takes 16 days for 15/48*16

the answer is 5 men

Answer:

45 men

Step-by-step explanation:

If you 1/3 the amount of time (from 48 to 16 ) to weed the plot, you will need to TRIPLE the number of men    to     45  men

Answers + Step-by-step explanation :

a) the equation should be:
7(n + 5) = 91 since you first add 5 to n and then multiply it by 7. The answer is 91 so that is on the other side of the equal sign

b) we can solve our equation to find for n, the number jim thought of

7(n + 5) = 91
I will use the distributive property.

7n + 35 = 91

Subtract 35 on both sides

7n = 56

Now divide 7 on both sides to find n

n = 8

The number Jim was thinking of was 8! this should be correct, hope this helps!

as the following pic you can see the answer.

#diameter is 8 so radius is 4

Answer:

B) 3

Step-by-step explanation:

f(3) = 3^2 + 3(3) = 9 + 9 = 18

Answer:

219

Step-by-step explanation:

adulta 219×17=3723

5563-323=1840

1840÷10=184 kids

219+184=403

Answer:

Step-by-step explanation:

If line A is parallel to line B passes through the point (2,7), the equation of line B will be y=3x+1.

A straight line is a combination of endless points joined on both sides of the point.

The slope 'm' of any straight line is given by:

A linear equation has the form y = mx + b in the slope-intercept format. X and Y are the variables in the equation. The values m and b represent the line's slope (m) and the value of y when x is 0.

[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]

It is given that the points are (2,7)

The slope of line A is,

m = 6/2

m=3

The equation of the line is,

y-(-1)=3x

y=3x+1

Since the line B is parallel to A the slope of the line is the same,

y-(-7)=3(x-2)

y=3x+1

Thus, if line A is parallel to line B passes through point (2,7), the equation of line B will be y=3x+1.

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Heyo!

The equation when displayed on a graph that lies entirely above the x-axis would be Option 4) y = (x - 7)^2.

Hope this helps! If so, please lmk! Also, if you have any questions, feel free to comment below. Good luck!

Answer:

Step-by-step explanation:

If the plane flying in direction of 40° north of east at a speed of  350 mph and wind is blowing at 40 mph in the direction 30° south of east. then the drift angle will be 5.9 °.

Let's assume east as x axis and north as y axis.

Breaking velocity of plane into components

350 cos40°  î + 350 sin40°  ĵ

(350 × 0.76604)  î + (350 × 0.64278)  ĵ

268  î + 225  ĵ

Breaking velocity of wind into components

40 cos30°  î - 40 sin30°  ĵ

(40 × 0.86602)  î - (40 × 0.5)  ĵ

34.64  î - 20  ĵ

Now adding velocity of wind to velocity of plane as

The resultant velocity of the plane =  initial velocity of plane + velocity of wind

( 268 + 34.64 )  î + ( 225 - 20 ) ĵ

302.64  î + 205  ĵ

So the final velocity of plane will be 302.64  î + 205  ĵ

Lets assume the angle of final velocity from east be θ

So Tan θ = perpendicular / base

So Tan θ = 205 / 302.64

Tan θ = 0.677

θ = Tan⁻¹(0.677)

θ = 34.12 °

As we know,

Drift angle is the difference of initial and final angle of the object measured from same reference.

Drift angle=| Initial angle of plane from east - final angle of plane from east |

Drift angle= | 40 - 34.12 |

Drift angle= 5.87 ° ≈ 5.9 °

So we used the concepts of vectors to solve the above question, first we find out the the final angle of plane from east and then takes the difference of initial and final angle from east to find the drift angle and that we got as 5.9 °.

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Answer:

A) 1, 2, 4

Hope this helps you!

Answer:

A. 1, 2, 4

Step-by-step explanation:

32= 1*32, 2*16, 4*8

36* 1*36, 2*18, 3*12, 4*9, 6*6

Common factors: 1, 2, 4

So the Answer is A.

Answer:

[tex]\text{If p(x) = x2 - 1 and q(x) = 5(x - 1), the expression which is equivalent to}[/tex] [tex]\text{ (p - q)(x) is (x2 - 1) - 5(x - 1).}[/tex]

Step-by-step explanation:

Given:

To find:

We know:

Substitute

[tex]\text{Therefore, the expression equivalent to (p - q)(x) is (2x2 - 1) - 3(x - 1).}[/tex]

Answer:

angle A=angleB .…(समदिबाहु त्रिभुज भएर)

34°=(x-5)°

or, 34=34

angleA+angleB+angleC=180°

or, 34+34+4y=180

or, 68+4y=180

or, 4y=180-68

or, 4y=112

or, y=112÷4

or, y=28

Answer:

A = 1.5 π in² ≈ 4.7 in²

Step-by-step explanation:

the area (A) of the sector is calculated as

A = area of circle × fraction of circle

   = πr² × [tex]\frac{\frac{\pi }{3} }{2\pi }[/tex]

  = π × 3² × [tex]\frac{1}{6}[/tex]

  = 9π × [tex]\frac{1}{6}[/tex]

  =  1.5π in²

  ≈ 4.7 in² ( to the nearest tenth )

Answer:

Last choice

Step-by-step explanation:

The basic definition of inverse function is both domain and range are swapped.

The domain is defined as set of all x-values while range is defined as set of all y-values.

If we have set of function h = {(1,2), (3,4), (5,6)} then the inverse will be {(2,1), (4,3), (6,5)}. Thus, if set of (x,y) is original function then set of (y,x) will be inverse of set of (x,y).

Henceforth, the inverse of f(x) will be g(x) = {(3,8), (1,4), (-1,0), (-3,-4)}.

Answer:

D. g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Step-by-step explanation:

hope this helps:)

Answer:

no comprendo nada de esto lo siento

Step-by-step explanation:

no comprendo

Answer:

There are 16 notes of 20 paise's and 12 notes of 5 paise's.

Explanation:

The amount of notes for of 20 paise and 5 paise coins are not given.

So let there be x 20 paise's coins and y 5 paise's coins.

Equation buildup:

20x + 5y = 380 ___eq 1

20y + 5x = 380 - 60

20y + 5x= 320 ___ eq 2

Make x the subject for both:

1st

[tex]\rightarrow \sf 20x + 5y = 380[/tex]

[tex]\rightarrow \sf 20x = 380-5y[/tex]

[tex]\rightarrow \sf x = 19-0.25y[/tex]

2nd

[tex]\sf \rightarrow 20y + 5x = 320[/tex]

[tex]\sf \rightarrow 5x = 320-20y[/tex]

[tex]\sf \rightarrow x= 64-4y[/tex]

Solve them simultaneously:

[tex]\sf \rightarrow 64-4y =19 - 0.25y[/tex]

[tex]\sf \rightarrow -4y+0.25y =19 -64[/tex]

[tex]\sf \rightarrow -3.75y =-45[/tex]

[tex]\sf \rightarrow y =12[/tex]

Find x:

[tex]\sf \rightarrow x = 64-4y[/tex]

[tex]\sf \rightarrow x = 64-4(12)[/tex]

[tex]\sf \rightarrow x = 16[/tex]