in the figure above, x =

Answer:

3/8 feet long

Step-by-step explanation:

Find how long each piece was by dividing 6 by 16:

6/16

Simplify this by dividing each number by 2:

6/16

= 3/8

So, each piece was 3/8 feet long

Answer:

y'=3x^2+34x+72

Step-by-step explanation:

I see this has no answer and it might be too late.

It's asking us to find dy/dx, after taking log of both sides and apply any useful properties of log.

Take log of both sides:

log(y)=log[x(x+8)(x+9)]

Apply product rule of logarithms on right:

log(y)=log(x)+log(x+8)+log(x+9)

Now differentiate both sides:

y'/y=1/x+1/(x+8)+1/(x+9)

Multiply both sides by y:

y'=y(1/x+1/(x+8)+1/(x+9))

Replace y with x(x+8)(x+9) -> this is from the given equation:

y'=x(x+8)(x+9)(1/x+1/(x+8)+1/(x+9))

Distribute:

y'=(x+8)(x+9)+x(x+9)+x(x+8)

Multiply/distribute some more:

y'=x^2+17x+72+x^2+9x+x^2+8x

Combine like terms:

y'=3x^2+34x+72

Answer:

y - 10 = -7 (x + 1)

Step-by-step explanation:

pont = (-1,10)     slope = -7

y - 10 = -7 (x + 1)

Answer:

6x + 3y ≤ 30

y ≥ 5

Step-by-step explanation:

Let

x = number of bags of chicken wings

y = number of pounds of hamburger meat

Cost of one bag of chicken wings = $6

Cost of one pound of Hamburger meat = $3

She must spend no more than $30.

The inequality

6x + 3y ≤ 30

She also knows that she needs to buy at least 5 pounds of hamburger meat.

y ≥ 5

Answer: [tex]589.33\ mph[/tex]

Step-by-step explanation:

Given

Trip form Los Angeles west to Paradise Isle took 17 hours and return trip took 13 hours.

Wind from west is 80 mph

Distance traveled is same in both the cases. During the first Journey, wind causes an upstream and for second half, it creates a downstream.

Suppose the speed of plane is

[tex]\Rightarrow (v-80)17=(v+80)13\\\Rightarrow 17v-1360=13v+1040\\\Rightarrow 4v=2400\\\Rightarrow v=600\ mph[/tex]

Suppose the distance is x

[tex]\Rightarrow x=(600-80)\times 17\\\Rightarrow x=520\times 17\\\Rightarrow x=8840\ \text{miles}[/tex]

Average speed is

[tex]\Rightarrow v_{avg}=\dfrac{x+x}{17+13}\\\\\Rightarrow v_{avg}=\dfrac{2\times 8840}{30}\\\\\Rightarrow v_{avg}=589.33\ mph[/tex]

Answer:

The speed of plane is 600 mph.

Step-by-step explanation:

Let the distance is d.

Speed of wind , u = 80 mph

Time, t = 17 hours

time, t'= 13 hours

Let the speed of airplane is v.

distance = speed x time

d = (v + u) x 13= (v - u) x 17

(v + 80) x 13 = (v - 80) x 17

13 v + 1040 = 17 v - 1360

4 v = 2400

v = 600 mph

Answer:

[tex]5 {x}^{2} - 11x + 6 \\ 5 {x}^{2} - (5 + 6)x + 6 \\ 5 {x}^{2} - 5x + 6x + 6 \\ 5x(x - 1) - 6(x - 1) \\ (5x - 6)(x - 1)[/tex]

Answer:

(101/42, 19/14)

Step-by-step explanation:

Given the following equations

3x+5y=14 ..... 1 * 2

6x-4y=9 ... 2 * 1

__________________

6x+10y=28

6x-4y=9  

Subtract

10y+4y = 28 - 9

14y = 19

y = 19/14

Get the value of x

Since 3x+5y = 14

3x+5(19/14) = 14

3x + 95/14 = 14

3x = 14 - 95/14

3x = 101/14

42x = 101

x = 101/42

Hence the solution is (101/42, 19/14)

Answer:

16

Step-by-step explanation:

Step-by-step explanation:

there must be something wrong or missing in your problem description.

what I can read here :

-97 - 7 when divided by 2

-97 - 7 = -104

this divided by 2 is -52.

but there is no such answer.

so, the provided answers and the problem description do not fit to each other.

Answer:

[tex] \frac{1}{4}x[/tex]

Step-by-step explanation:

take the reciprocal of 4 which is 1/4

The top right quadrant is quadrant 1.

The top left quadrant is quadrant 2.

The bottom left quadrant is quadrant 3.

The bottom right quadrant is quadrant 4.

Therefore, point D is in the fourth quadrant.

Answer:

a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].

Step-by-step explanation:

Let be [tex]u[/tex] a real number, its additive inverse is a real number [tex]v[/tex] so that:

[tex]u+v = 0[/tex]

That is,

[tex]v = - u[/tex] (1)

Then, the additive inverses of [tex]\frac{21}{18}[/tex] and [tex]-\frac{2}{8}[/tex] are, respectively:

a) [tex]-\frac{21}{18}[/tex], b) [tex]\frac{2}{8}[/tex].

Answer:

80 units

Step-by-step explanation:

KN = MN

9x - 5 = 7x + 7

2x = 12

x = 6

KM = 2KL

KM = 2(6x + 4)

KM = 12x + 8

KM = 12(6) + 8

KM = 80

Answer:

80

Step-by-step explanation:

Answer:

Y = -6X - 15

Step-by-step explanation:

-3 = -6(-2) + B

-3 = 12 + B

B= -15

Answer:

You didn't attach the options, but y = - 6x - 15

Step-by-step explanation:

Using the equation y = mx + b, you can plug in values that you have to solve for b, the y intercept. Since m is the slope and the slope is - 6, and you have a y and x value, you can write the equation as follows:

-3 = - 6 * -2 + b

Then solve for b

-3 = 12 + b

-15 = b

Then you rewrite the original formula with the values of m and b:

y = - 6x - 15

Step-by-step explanation:

hope it helps you..........

Answer:

[tex](\frac{2}{5} )^{3}[/tex] = [tex]\frac{8}{125}[/tex] [tex]cm^{3}[/tex]

Step-by-step explanation:

Let x be the number of goals that Jagan scored, then Shaun scored x + 9 goals and Baharat scored x + 9 + 6 = x + 15 goals.

What in mathematics is a linear equation?

According to Wolfram MathWorld A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."

We know that the total number of goals is the sum of the goals each player scored, which is x + (x + 9) + (x + 15) = 69

We can express this as 3x + 33 = 69

Then we can subtract 33 from both sides to get 3x = 36

Then we divide both sides by 3 to get x = 12

Then we can substitute the value of x back to find the number of goals each player scored:

Jagan: x = 12

Shaun: x + 9 = 12 + 9 = 21

Baharat: x + 15 = 12 + 15 = 27

So Jagan scored 12 goals, Shaun scored 21 goals and Baharat scored 27 goals.

Learn more about linear equation

https://brainly.com/question/2030026

#SPJ1

Answer:

-3

Step-by-step explanation:

-8(1-4x)=-104

1-4x=-104/-8

1-4x=13

4x=1-13

4x=-12

x=-12/4

x=-3

Given: The set of scores for a variable is displayed in a frequency distribution polygon.

To find: We need to find which scale of measurement was used to measure the variable

Solution: A frequency distribution table is always either in interval or in ration scale.

Answer:

5.52m

Step-by-step explanation:

First, we can see that two similar triangles are formed. One similar triangle is the big triangle, with the base being 22.75m and the height being the tree's height. Another triangle is formed with Grayson's height as the height and the and the difference between where he is standing and the edge of the tree's shadow (the red outline in the picture) .  We know that these are similar triangles because both the bases are parallel, as well as the heights and hypotenuses.

The base length for the triangle with Grayson as the height is 22.75-17.6 = 5.15 .

For similar triangles, we know that the ratios between sides are the same. For example, base₁/base₂ = height₁/height₂ . We can apply this here, making 5.15 base₁ and 1.25 height₁ (note that the same triangle's sides should be on top)

If we make the tree's height t, we thus have

5.15/22.75 = 1.25/t (height 2 is the tree's height

multiply both sides by t to remove one denominator

5.15 * t / 22.75 = 1.25

multiply both sides by 22.75 to remove the other denominator

5.15 * t = 1.25 * 22.75

          = 28.4375

divide both sides by 5.15 to isolate the t

t = 5.52m

Answer:

George Washington.

Step-by-step explanation:

President Washington was elected President by a unanimous election of 69 voters in 1788, and served two terms. He set about creating a strong, well-funded national government that would maintain neutrality in Europe's raging wars, quell uprisings, and gain the approval of Americans of all types. His leadership style has established many forms and rituals of government that have been used, such as the use of a cabinet system and the swearing-in of oaths. Still, the peaceful transition from his presidency to the presidency of John Adams has created a tradition that continues into the 21st century. Washington was hailed as a patriarch, even during his lifetime.

Answer:

A. 2

Step-by-step explanation:

[tex] \int_0^1 \: 5x \sqrt x \: dx \\ \\ = \int_0^1 \: 5x . \: {x}^{ \frac{1}{2} } \: dx \\ \\ = 5\int_0^1 \: {x}^{ \frac{3}{2} } \: dx \\ \\ = 5 \bigg( \frac{ {x}^{ \frac{3}{2} + 1 } }{ \frac{3}{2} + 1 } \bigg)_0^1\\ \\ = 5 \bigg( \frac{ {x}^{ \frac{5}{2} } }{ \frac{5}{2}} \bigg)_0^1 \\ \\ = 5 \times \frac{2}{5} \bigg({x}^{ \frac{5}{2} } \bigg)_0^1 \\ \\ = 2 \bigg( {1}^{ \frac{5}{2} } - {0}^{ \frac{5}{2} } \bigg) \\ \\ = 2(1 - 0) \\ \\ = 2[/tex]

Answer:

2 ( Option A )

Step-by-step explanation:

The given integral to us is ,

[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]

Here 5 is a constant so it can come out . So that,

[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]

Now we can write √x as ,

[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]

Simplify ,

[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]

By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,

[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]

On simplifying we will get ,

[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]

Answer:

C

Step-by-step explanation:

The slope of C is 3/2 and it stays consistent unlike the other ones.

Answer:

25.1

Step-by-step explanation:

Sin=opposite/hypotenuse

Sinx=4.2/9.9

x=arcsin(4.2/9.9)

x=25.1 degrees rounded from 25.102

Answer:

Anything after x determines if it goes up since it's a positive 5 it's 5 units up

Answer:

hope it will be helpful to you

Answer:

..have a great day ahahahahah

Answer: 251.2 cm3

Step-by-step explanation:

10x3.14x 8 = 251.2

Answer:

Slope-intercept

y = 3/4(x) - 7

Point slope

y -5= 3/4(x - 16)

Step-by-step explanation:

In slope-intercept

We have the general slope intercept as;

y = mx + b

where m is the slope and b is the y-intercept

in this case, m = 3/4 and b = -7

So we have;

y = 3/4(x) - 7

In point-slope

we have the general form as;

y-y1 = m(x-x1)

So what we have is as follows;

y -5= 3/4(x - 16)

Where we have (x1,y1) = (16,5)

Answer:

8 trips

Step-by-step explanation:

You can solve this by unitary method.

15 kilometers in 5 trips means 1 trip consist of 3 kilometers

Therefore, 24/3 = 8

So the required answer is 8 trips.

Thank you!!