express
the speed
10m
per second as
km per hour

The value of x from the given linear function is 15

A linear function is a function hat has a leading degree of 1

Given the equation below;

2/5x +9 =15

Subtract 9 from both sides

2/5x + 9 - 9 = 15 - 9

2/5x = 15 -  9

2/5x = 6

Multiply both sides by 5

2/5x (5) = 6(5)

2x = 30

x = 15

Hence the value of x from the given linear function is 15

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hi

a ( b +c) =  a*b +a*c

here a = -3  

        b = -4x

        c = +5

so :  

-3 ( -4x +5)  =  -3*-4x + -3* 5  

                   =  -12x + (-15)

                  = -12x -15

as I cannot add  -12x and  -15   ( they are two differents sort of figures )

so it's done

Answer:

12x - 15

Step-by-step explanation:

What you need to do for this is -3 · -4x + -3 · 5 = 12x+(-15). Which simplifies to 12x - 15.

The total money that will be cost for Mrs. Herrera to purchase candy for her is $10.9889

Given, Number of students that 100% attendance in the class is √196 -1 that is equal to

14-1 = 13.

So, number of students is 13.

Cost of one candy = $0.79+7%(tax)

Cost of one candy = $0.79 + (7% of 0.79)

Cost of one candy = $ 0.79 + 0.0553

Cost of one candy = $0.8453

So , total cost that Mrs. Herrera to purchase candy will be

Total cost = Number of student X Cost of one candy

Total cost = 13 X $0.8453

Total cost  = $ 10.9889

Hence, The total cost for Mrs. Herrera to purchase candy for her is $10.9889

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Answer: x=6  y=6

Step-by-step explanation:

[tex]\displaystyle\\\left \{ {{4x-3y=6} \atop {6x-5y=6}} \right.\\[/tex]

Since the right parts of the equation are equal, therefore the left parts of the equation are also equal:

[tex]4x-3y=6x-5y\\4x-3y+5y=6x-5y+5y\\4x+2y=6x\\4x+2y-4x=6x-4x\\2y=2x\\[/tex]

Divide both parts of the equation by 2:

[tex]y=x\\Hence,\\4x-3x=6\\x=6\\Thus,\\x=y=6[/tex]

Answer:

x=15

Step-by-step explanation:

-x+5

-15+5

= 10

Answer: No solution

Step-by-step explanation:

5r + 5 = 3(5r - 4) - 10r  Do multiplication

5r + 5 = 15r - 12 - 10r  combine like terms

5r + 5 = 5r - 12        This is impossible. 5r cannot equal 5 and 12 meaning there is no value of r that makes this equation true so there's No Solution.

You could continue

5r + 17 = 5r

-5r       =-5r

17=0 which is also not true

The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).

It follows from the task content that the circle in discuss has a center at the origin, (0,0).

Hence, the since the square of the radius is; = 89.

It follows that the point which fits into the equation of the circle; x² + y² = r² is;

Choice C; (5)² + (-8)² = 25 + 64 = 89.

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The answer choice which represents a point of the circle with r² = 89 is; Choice B; (5, -8).

It follows from the task content that the circle in discuss has a center at the origin, (0,0).

Hence, the since the square of the radius is; = 89.

It follows that the point which fits into the equation of the circle; x² + y² = r² is;

Choice C; (5)² + (-8)² = 25 + 64 = 89.

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The measurement that is closest to the volume of the cylinder in cubic feet is: 15.7 Feet. (Option B)

Recall that volume is

V = πr²h

Given:

h = 5 feet

r = 2/2 = 1

Hence

V = 5 x 1 x 22/7

= 15.7142857143

Hence, the cylinders volume in cubic feet is given as:

[tex]$\approx$[/tex] 15.7 ft

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Answer: 15.7 ft3

Step-by-step explanation:

The length of both the triangle's base and height in feet.

length of base = 32ft

height = 14 ft.

The base of a triangle can be any of its  sides. The term "base" refers to the both the side and the length (the measurement). The comparable height is really the length of a perpendicular segment from either the base to the opposing vertex.

Given that perhaps the cross-section of the lean-to shelter is a triangle, its area is a triangle.

A = ¹/₂bh

b = length of base

h = height

the base of the triangle is 10 feet more than twice its height, we have that

b = 2h + 10

A = ¹/₂bh

A =  ¹/₂(2h + 10)h

A = h² + 5h

Since the area of the triangle is A = 126 ft², we have that;

h² + 5h = 126

h² + 5h - 126 = 0

h² +(14h -9h) - 126 = 0

h² +14h -9h - 126  = 0

h(h + 14) -9(h + 14) = 0

(h + 14)(h - 9) = 0

Hight cant be negative:

h = 14

Length of the base is b = 2h + 10

b = 2h + 10

b = 2(14) + 10

b = 28 + 10

b = 35 ft

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The weighted average of the given coordinates weights is; 3

We are given that;

Coordinate of -5 has a weight of 3

Coordinate of 3 has a weight of 1

Now, we are given the formula to calculate the weighted average as;

WA = Sum of the Weighted Values/Sum of the Weights

Thus;

WA = ((-5 * 3) + (3 * 1))/(3 + 1)

WA = (-15 + 3)/4

WA = -12/4

WA = -3

We will take the absolute value which is; WA = 3

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A differential equation with some initial conditions is used to solve an initial value problem.

The required particular solution is given by the relation:

[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]

An initial value problem in multivariable calculus is an ordinary differential equation with an initial condition that specifies the value of the unknown function at a given point in the domain. In physics or other sciences, modeling a system frequently entails solving an initial value problem.

Let the given equation be [tex]$y^{1/2} dy\ dx y^{3/2} = 1[/tex], y(0) = 9

[tex]$(\sqrt{y } ) y^{\prime}+\sqrt{(y^3\right\left) }=1[/tex] …..(1)

Divide the given equation (1)  by [tex]$\sqrt{ y} $[/tex]  giving

[tex]$y^{\prime}+y=y^{(-1 / 2)} \ldots(2)$[/tex], which is in Bernoulli's form.

Put [tex]$u=y^{(1+1 / 2)}=y^{(3 / 2)}$[/tex]

Then [tex]$(3 / 2) y^{(1 / 2)} \cdot y^{\prime}=u^{\prime}$[/tex].

Multiply (2) by [tex]$\sqrt{ } y$[/tex] and we get

[tex]y^{(1 / 2)} y^{\prime}+y^{(3 / 2)}=1[/tex]

(2/3) [tex]u^{\prime}+u=1$[/tex] or [tex]$u^{\prime}+(3 / 2) y=3 / 2$[/tex],

which is a first order linear equation with an integrating factor

exp[Int{(2/3)dx}] = exp(2x/3) and a general solution is

[tex]u. $e^{(2 x / 3)}=(3 / 2) \ln \[\left[e^{(2 x / 3)} d x\right]+c\right.$[/tex]  or

[tex]\mathrm{y}^{(3 / 2)} \cdot \mathrm{e}^{(2x / 3)}=(9 / 4) \mathrm{e}^{(2x / 3)}+{c}[/tex]

To obtain the particular solution satisfying y(0) = 4,

put x = 0, y = 4, then

8 = (9/4) + c

c = (23/4)

Hence, the required particular solution is given by the relation:

[tex]$4y^{(3/2)} = 9e^{(-2x/3)} + 23[/tex]

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Answer:

the answer is 2^x-7 = 1/3x+-1/3

graph it to 1-3 and negative 1-3 figure it out i don't really good at explaining

The standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

The standard deviation mathematical and statistical analysis tool used to explain the diversity of treatments or values around the Mean is the standard deviation, which is also known as the square root of variance.

The population of individuals is always smaller than the entire population, therefore the possibilities for variances will be lower with the sample than with the population. The higher the population, the greater the chances for deviation from the mean.

Therefore, the standard deviation of the distribution of means is generally smaller than the standard deviation of the population of individuals.

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Answer:

∠ A = 42° , ∠ G = 85°

Step-by-step explanation:

the measure of an inscribed angle is half the measure of its intercepted arc.

(3)

∠ A is an inscribed angle , so

∠ A = [tex]\frac{1}{2}[/tex] BC = [tex]\frac{1}{2}[/tex] × 84° = 42°

(4)

∠ G is an inscribed angle but we require arc DF

the sum of the arcs in a circle = 360°

FG + GD + FD = 360°

70° + 120° + FD = 360°

190° + FD = 360° ( subtract 190° from both sides )

FD = 170°

Then

∠ G = [tex]\frac{1}{2}[/tex] DF = [tex]\frac{1}{2}[/tex] × 170° = 85°

Answer:

Step-by-step explanation:

[tex]\frac{4}{6} + \frac{2}{4} + \frac{3}{5} = \frac{80}{120} + \frac{60}{120} + \frac{72}{120} = \frac{212}{120}[/tex]

simplest form : [tex]\frac{53}{30}[/tex]

The equation of the sphere is

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

The standard form of the equation of the sphere is :

[tex](x-a)^{2}+(y-b)^{2}+(z-c^{2} )=r^{2}[/tex]

Where A (a, b , c) is the center and r is the radius.

From the question we should first find the radius

r = [tex]\sqrt{(x-a)^{2}+(y-b)^{2}+(z-c)^{2}[/tex]

Point = (x , y , z) = (8 , 3 , -3)

Center = (a, b , c)= (5 , 6 ,5)

Substituting it in the formula

r = [tex]\sqrt{(8-5)^{2}+(3-6)^{2}+(-3-5)^{2} }[/tex]

By further calculation

r = [tex]\sqrt{9+9+64}[/tex]

So, we get

r =[tex]\sqrt{82}[/tex]

Substituting it in the standard form

[tex](x-5)^{2}+(y-6)^{2}+(z-5)^{2}=\sqrt{82}^{2}[/tex]

[tex](x-5)^{2} +(y-6)^{2} +(z-5)^{2}=82[/tex]

[tex]x^{2} +y^{2}+z^{2}+25+36+25-10x-12y-10z=82[/tex]

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+86-82=0[/tex]

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

Therefore, the equation of the sphere is

[tex]x^{2} +y^{2}+z^{2}+-10x-12y-10z+4=0[/tex]

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Answer:

Step-by-step explanation:

The line passes through the points:

Since all x- coordinates are same, the line is vertical and its equation is:

Answer:

12/15

Step-by-step explanation:

The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .

Absolute Error is defined as the difference between The Actual value and the estimated value .

Percent Error is defined as the difference between The Actual value and the estimated value in comparison to actual value expressed in percent .

[tex]Percent Error=\frac{|Estimated Value-Actual value|}{Actual Value} *100[/tex]

Given that the Estimated value =300 pounds

Actual Value=286 pounds

Absolute Error=300-286=14 pounds

Percent Error=[tex]\frac{|300-286|}{286} *100[/tex]

=[tex]\frac{14}{286} *100=4.89[/tex]%

Therefore , The Absolute error of the engineer's estimate is 14 pounds and the percent error is 4.89 % .

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The change of Mandy's score is 600 points.

Here,

Mandy is playing a game.

Early in the game she had - 250 points.

Now, Mandy has 350 points.

We have to find the change of Mandy's score.

What is difference of two number?

To find the difference between two numbers, subtract the number with the smallest value from the number with the largest value.

Now,

Early in the game she had - 250 points.

And, now Mandy has 350 points.

So, The change of Mandy's score = 350 - (-250) = 350 + 250 = 600

Hence, The change of Mandy's score is 600 points.

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Measure of angle 1 is 50° and that of angle 2 is 130°

The sum of all the angles on a straight line is equal to 180°.

Here, we are given two angles ∠1 and ∠2

Also, we are given that

m∠1 = (x+24)°

and m∠2 = 5x°

As we can see from the given figure, ∠1 and ∠2 lie on a straight line

⇒ m∠1 + m∠2 = 180

⇒ (x+24) + 5x = 180

x + 24 + 5x = 180

x + 5x + 24 = 180

6x + 24 = 180

6x = 180 - 24

6x = 156

x = 156/ 6

x = 26

Therefore,

m∠1 = 26 + 24

= 50

and m∠2 = 5(26)

= 130

Thus, the measure of the two angles is 50° and 130°

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Your question was incomplete. Check for the missing figure below.

The distance between A(7,-7) and B(13,0) is 9.2 units

The formula for calculating the distance between two point is expressed as;

D = √(x₋₂-x₁)²+(y₂-y₁)²

Given the coordinate points A(7,-7) and B(13,0).

Substitute

AB = √(13-7)²+(0-7)²

AB = = √(6)²+(-7)²

AB = √36+ 49

AB = √85

AB = 9.2 units

Hence the distance between A(7,-7) and B(13,0) is 9.2 units

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Answer:

2

Step-by-step explanation:

You can only cut it into 2 exact equal parts <3

Answer:

It has none.

Step-by-step explanation:

If it was down the middle it wouldn’t work and if it was across it also wouldn’t work.

Answer:

ok is the corr!ctewwwdeeecceeeeecrrr\g

The equation for the line that connects the locations is y = 2x + 5.

The slope of a line, commonly known as the gradient, is defined as the value of the steepness or direction of a line in a coordinate plane. Slope can be determined using many ways given the equation of either a line or the coordinates of points on the straight line. . The slope is defined mathematically as "climb overrun" (change in y divided by change in x).

x₁ = 1

y₁ = 7

x₂ = -3

y₂ = -1

To obtain the equation of a line, we must first determine its slope. This is computed as:

m = [y₂ - y₁ ]/[x₂ - x₁]

Substituting the value we get:

m = [(-1) - 7 )/((-3) - 1)]

  = -8/-4

   = 2

The slope of the line = 2.

The line's intercept is:

The slope is the next step toward solving for  a such equation of the line.

A typical linear equation is presented as:

y = mx + c

Let us substitute the slope and intercept values.

y = 2x + 5

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Answer:

yes it can be bc it is repeating