Which author would agree with the opinions below?

Using proportions, it is found that the exact value of 41% of 379 is of 155.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct(when both increase or both decrease) or inverse proportional(when one increases and the other decreases, or vice versa), can be built to find the desired measures in the problem, or equations to find these measures.

The proportion of 41% of 379 is given as follows:

0.41 x 379 = 155.39.

Since 0.39 < 0.5, the exact value is rounded to 155.

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The amount he can spend in December given that he spent $30, $80, $45, and $35, respectively in the other 4 months is; x = $60.

It follows from the task content the intention is to spend a mean of $50 a month towards music.

On this note, it follows that the since the mean is given by the ratio of the sum of all data values and the number of data values, it follows that;

Mean = 50 = (30+80+45+35 + x)/5

where x = spending in December.

multiply both sides by 5;

(30+80+45+35 + x) = 250

x = 250 -30 -80-45-35

x = $60.

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Step-by-step explanation:

the domain is the interval or set of all valid x values.

as we can see, the function goes continuously from all the way to the left (until all eternity to -infinity) all the way to the right (until all eternity to +infinity).

the domain is

-infinity < x < +infinity

the range is the interval or set of all valid y (function result) values.

we see, the lowest y value is -1. and then the function goes on both sides up, up, up in all eternity to +infinity.

the range is

-1 <= y < +infinity

f(x) is decreasing for

-infinity < x < -1

f(x) is increasing for

-1 < x < +infinity

The length expression is 6 + w

The given parameters are:

Length =6 more than the width

Width = w

Perimeter = 60

Subsitute Width = w in Length =6 more than the width

This gives

Length =6 more than the w

More than mean +

So, we have

Length = 6 + w

Hence,  the length expression is 6 + w

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Answer:

No, 2 is not a solution

Step-by-step explanation:

x - 5>10  Add 5 to both sides of the equations

x > 10  The solutions are all numbers greater than 10.  Two is not greater than 10.

Answer:

1/8

Step-by-step explanation:

(6m^-1n^0)^-3 =

= (6 × 1/3 × (-5)^0)^-3

= (6/3)^-3

= 2^-3

= 1/2^3

= 1/8

Answer:

Step-by-step explanation:

create the cartesian system, sign the points, because the new triangle is reflected, so we need to use the straight lines which points on its ends, perpendicular to the x-axis, then we get A(0,-6), B(3,0), C(4,-3)

Answer:

the area of the rectangle is A=L•W

The length is 3m less than twice its width W: L+ 3m=2W...->, L=2W-3m

A=L-W

27m²=(2W-3m)-W

27m2=2w2-3m-W

2w2-3wm-27m2=0

....use quadratic formula -(-3m)+ (-3m)²-4-2-(-27m²)

W=

2-2

w=(3m± √9m²+216m²)

w=(3m+ √225m²)

W=(3m± 15m...you need only positive root because width cannot be negative

W= 3m+15m

4

W=. 4

18m

W=4.5m ......now find the L

L=2.4.5m-3m

L=9m-3m

L=6m

Answer:

W = 4.5cm

L = 6cm

Step-by-step explanation:

The solutions of the equations of the situation can be:

z = 1 , y = 5, x = 4

z= 2 , y = 3, x = 5

z=3 , y = 1, x = 6

z = 0 , y = 7, x =3

The question can be expressed as a equation

6 x + 8 y + 10 z = 84

also, x + y + z = 10

⇒ x = 10- y - z

Putting it in first equation,

6(10 - y - z ) +8y + 10z = 84

⇒ 60 +2y + 4z = 84

⇒2(y + 2z ) = 14

⇒ y + 2z = 7

Now putting

z = 1 , we get y = 5,

z= 2 , y = 3

z=3 , y = 1

z = 0 , y = 7

So, only 4 possible solutions.

Therefore, there can only be 4 possible solutions for the equations.

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hi

if you call the number  "n"  you have  :    ( 4n)³

The cube formed by the product of 4 and a number is (4 * n)^3.

According to our question ,

Hence we can say that the cube formed by the product of 4 and a number is (4 * n)^3.

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Answer:

x =(2-√52)/6=(1-√ 13 )/3= -0.869

x =(2+√52)/6=(1+√ 13 )/3= 1.535

it has either 0.868 or -1,85

The possible values for the range of f(x) are given by:

The range of a function f(x) is the set that contains all possible output values for the function. Looking at the graph of the function, the range is composed by the values of y.

In this problem, the function is not given, so I can't give you an exact answer, but since the range is composed by the values of y, the first option is not possible, and the possible values for the range of f(x) are given by:

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Greetings from Brasil...

We have 2 fixed fees:

→ $10 when you sit on the bench

→ $5 tip

So, fixed fees = $10 + $5 = $15

The rate that varies would be the distance traveled. The fee will be $0.75 per mile moved. In this case we can write that:

C = 0.75M + fees

let

C = cost

M = mile(s)

for 24 miles, M = 24, then

C = 0.75M + 15

C = 0.75 · 24 + 15

C = 18 + 15

C = $33

With $30 it will not be possible to make this trip, as the total cost would be $33

One solution or alternative would be to reduce the tip amount. Instead of $5, pay only $2 of tip.

We can rewrite the cost expression involving a variable for the tip:

C = 0.75M + T + 10

let T = tip

For the exercise example.... The distance (M) its 24 miles and the value of C has to be what I have in my pocket: 30.... then M=24 and C=30

C = 0.75M + T + 10

30 = 0.75 · 24 + T + 10

30 = 18 + T + 10

30 - 18 - 10 = T

T = 2

Is it possible to do this ride if you pay only $2 tip

At this point, the canoe will be under a net force of 51.52 N.

The total mass of a canoe and a paddler is 100.0 kg. A river that runs from east to west is where the canoe is thrown in. The power of the water current on the canoe is 18.0 N. The paddler exerts a force of 36.0 N [E 37.0° N].

The Free Body Diagram is then displayed below.

The canoe's net force would then be indicated as follows:

F = (18 + 36 cos 37°) i + (36 sin 37°) j

F = 46.75 i + 21.67 j

Therefore the force's strength will be

|F| = √(46.75² + 21.67²)

|F| = √2655.15

|F| = 51.52 N

Thus, at this point, the canoe will be under a net force of 51.52 N.

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Answer: X, Y, Z are collinear points on the same segment, Then YZ=2.

                                                                                                                                                                                                                                                                                                                                                                                             Step-by-step explanation:

Collinear points are the points that lie on the same straight line or in a single line. If two or more than two points lie on a line close to or far from each other, then they are said to be collinear, in Euclidean geometry.

X, Y, Z are collinear points on the same segment, and Y is between X and Z.

As given Y is between X and Z

We can write,: YZ+XY=XZ

If, XY=11

XZ=13

Replace XY and XZ values in above equation

So, YZ+XY=XZ

YZ+11=13

Solve to get, YZ=13-11

YZ=2

So,  X, Y, Z are collinear points on the same segment, and Y is between X and Z, use the segment  addition postulate, then YZ=2.

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The cordinates of the turning point of the graph of y=f(x) occurs at (1.1) and (5/3, 23/27)

2

(x−2)+1

Now, differentiating w.r.t. x, we get

f

′

(x)=2(x−1)(x−2)+(x−1)

2

=(x−1)[2(x−2)+x−1]

=(x−1)[3x−5]

Hence,

f

′

(x)=0 implies x=1 and x=

3

5

​

Corresponding values of y are y=1 and y=

27

23

​

 respectively.

∴ Co-ordinates of turning point of the graph of f(x) occurs at (1,1) and (

3

5

​

,

27

23

​

)

Now,

f(x)=(x−1)

2

(x−2)+1

=(x

2

−2x+1)(x−2)+1

=x

3

−2x

2

−2x

2

+4x+x−2+1

=x

3

−4x

2

+5x−1

The value of p for which the equation f(x)=p has 3 distinct solutions lies in interval (

27

23

​

,1)

Area enclosed by f(x),x=0,y=1 and x=1 is

A=∫

0

1

​

(1−f(x))dx

⇒∫

0

1

​

(4x

2

−x

3

−5x+2) dx

⇒A=

12

7\

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Answer:

8 x b + 9 = 7

Step-by-step explanation:

sum is to add and 8 times means to multiply it by 8

An integer to describe 6 meters above the sea level would be [tex]+6[/tex] meters.

As per the question statement, We are supposed to use an integer to describe the following situation "6 meters above sea level".

We assume that sea level is the datum line and anything above that would be positive and below that would be negative.

So 6 meters above the sea level can be described as [tex]=6meters[/tex].

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Given - F(x) = 5 × 3-x

F(-2) refers to x = -2

Therefore 5×3-(-2) = 5× (3+2) = 5×5 = 25

Hence 25 is the value of f(-2)

Answer:

b

Step-by-step explanation:

Trust me

The equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

From the question, we are to determine the equation that could be used to determine, m, the average number of miles she would have to ride to meet her goal

From the given information,

"Arianys wants to ride her bicycle 55.5 miles"

and

"She has already ridden 19 miles"

Thus,

The number of miles she needs to ride more is

55.5 miles - 19 miles

= 36.5 miles

If m is the average number of miles she would have to ride for 5 more days to complete her goal,

Then, we can write that  

m = 36.5/5

OR

m = (55.5 - 19)/5

Hence, the equation that could be used to determine, m, is 5m = 55.5 - 19. The correct option is C. m = (55.5 - 19)/5

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Answer: -1/5

Step-by-step explanation:

14/20 - 81/90=

7/10-9/10=       ==> 10 is the GCF of 20 and 90

(7-9)/10=

-2/10=-1/5

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{14}{20} - \dfrac{81}{90}}[/tex]

[tex]\mathsf{= \dfrac{14\div2}{20\div2} - \dfrac{81\div 9}{90\div9}}[/tex]

[tex]\mathsf{= \dfrac{7}{10} - \dfrac{9}{10}}[/tex]

[tex]\mathsf{= \dfrac{7 - 9}{10 - 0}}[/tex]

[tex]\mathsf{= \dfrac{-2}{10}}[/tex]

[tex]\mathsf{= \dfrac{-2\div 2}{10\div2}}[/tex]

[tex]\mathsf{= \dfrac{-1}{5}}[/tex]

[tex]\huge\text{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\mathsf{-\dfrac{1}{5}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Split up the interval [1, 3] into 4 intervals of equal length,

[tex]\Delta x = \dfrac{3 - 1}4 = \dfrac12[/tex]

The left endpoint of the [tex]i[/tex]-th interval is

[tex]\ell_i = 1 + \dfrac i2[/tex]

The area under the curve is then approximately

[tex]\displaystyle \int_1^3 f(x) \, dx \approx \sum_{i=1}^4 f(\ell_i)\Delta x \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac i2\right)^3 \\\\ ~~~~~~~~ = \frac12 \sum_{i=1}^4 \left(1 + \frac{3i}2 + \frac{3i^2}4 + \frac{i^3}8\right) = \boxed{27}[/tex]

The graph of the linear equation, x = 6, is shown in the image attached below.

The equation of a vertical line is given as x = b, where b is the x-intercept of the line. That is, b is the point on the x-axis where the line crosses.

Given the equation, x = 6, it means the line is a vertical line. Therefore, on the graph, the line would intercept the the x-axis at 6.

Thus, the graph of the linear equation, x = 6, is shown in the image attached below.

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Answer:

27.5 years old

Step-by-step explanation:

We are given the formula: [tex]P=0.006A^{2} -0.02A+120[/tex] relating a patient's pressure to age.

We are also given the value for pressure (P) as 124 mmHg and need to find age (A). In order to do this, we can substitute the value 124 for P in the equation and solve the quadratic equation to obtain A:

[tex]124=0.006A^{2} -0.02A+120[/tex]

1. Set equation to 0 by subtracting 124 from both sides:

[tex]124-124=0.006A^{2} -0.02A+120-124\\= > 0.006A^{2} -0.02A-4=0[/tex]

2. Solve equation using a calculator:

It should give the solutions: [tex]A= 27.54, -24.2[/tex]

It doesn't really make sense for someone's age to be negative, therefore we can accept the positive solution as our answer.

The man whose normal blood pressure measures 124 mmHg is 27.5 years old.

Hope this helped!

Answer:

A: 0.50

B: 2.70

C: 28.20

D: 3.10

E: 2.40

F: 9.90

G: 15.200

H:  1.40

I: 0.80

J: 39.20

K: 2.50

L: 0.80

Here are the first ones

M: 4

N: 4

O: 23

P: 8

Q: 4

R: 53

S: 3

T: 28

U: 11

V: 17

W: 92

X: 25

Y: 8

Z: 3

These are the last ones

Hope you found these helpful! <3

Answer:

w= 3 feet

h= 5 feet

Step-by-step explanation:

H=height; W=width=2H-7ft

W=2H-7ft

2H+4W=22ft Substitute for W

2H+4(2H-7ft)=22ft

2H+8H-28ft=22ft Add 28 ft to each side.

10H=50ft

H=5 ft ANSWER 1: The bookshelf is 5 feet high.

W=2H-7ft=2(5ft)-7ft=10ft-7ft=3ft

ANSWER 2: the bookshelf is 3 feet wide.

CHECK:

2H+4W=22ft

2(5ft)+4(3ft)=22ft

10ft+12ft=22ft

22ft=22ft

Hope this helps!

Answer:

this question is wrong .................

Answer:

39÷(5+(4×5÷2) )

39÷(5+(20÷2) )

39÷(5+10)

39÷15

2.6