If Elena eats 2 servings of granola , how many calories dose she eat?

Answer:

2.08

Step-by-step explanation:

Answer:

x>-15/4

Step-by-step explanation:

1/3(6/8+1/2x)>-3/8

3/4 + 1/2 x>- 9/8

6+4x>-9

4x>-9-6

4x>-15

x>-15/4

Answer:

[tex]y=\frac{1}{2}x+6[/tex] and [tex]y=5x+8[/tex]

Step-by-step explanation:

The big thing to remember with this is that parallel lines have the same slopes. We can isolate the y-variable in both of these to get the slope-intercept form, which just makes it easier to see the slope.

a. 3x-6y=12

[tex]-6y=-3x+12\\y=\frac{1}{2}x-2\\[/tex]

Now that we know the slope, we can have any y-intercept except for the original one, they just need to have the same slope. So an equation that could work is [tex]y=\frac{1}{2}x+6[/tex].

b. 5x-y=10

This equation can be solved in the exact same way.

[tex]-y=-5x+10\\y=5x-10[/tex]

Parallel line: [tex]y=5x+8[/tex]

Again, it does not matter what the y-intercept is, they just can't have the same one. The slopes have to be the same.

Hope this helps!

Plant B produces 6000 panels.

Given that, Plant A produces 18,000 panels out of 2% are defective and 6% of the panels produced by Plant B are defective.

Defective percentage : It is the number of defects divided by the sample size, multiplied by 100. So, if one tool is defective out of a sample size of 1,000, your percent defective is 0.1 percent.

No. of Defective Panels from Plant A + No. of Defective Panels from Plant B = Total No. of Defective panels

Let No. of Panels produced from Plant A = A and No. of Panels produce from Plant B = B

2% of 18000 + 6% of B = 3% of (18000 + B)

360 + 0.06*B = 0.03( 18000 + B)

360 + 0.06* B = 540 + 0.03*B

0.06*B - 0.03B = 540-360

0.03*B = 180

 3B = 18000

B = 6000

CHECK:

2% of 18000 + 6% of 6000 = 360+360 = 720 defectives

18000 + 6000 = 24000

720 out of 24000 = 720/24000 = 72/2400 = 3%

Hence, Plant A produces 18000 panels and 2% of them , or 360, are defective.

Plant B produces 6000 panels and 6% of them,  or 360, are defective.

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Answer:

B. slope: -1/2 , y-intercept: 1

rise over run. go down one, means a negative 1. too the right twice, means positive 2. y-intercept is obvious, it's just the point in which the line intercepts the y-axis.

Answer:

C

Step-by-step explanation:

Here, we want to interpret what is meant by m(10) = k

Originally M(n) represents the fee in dollars for an nth drive

So M(10) will represent the fee in dollars for the 10th drive and is equal to K dollars

Correct option is C

Answer:

It's option 2

Step-by-step explanation:

parallel to the x-axis basically means that it mirrors the x-axis since parallel lines have the same slope. since the question wants the graph with the line that is also below the x-axis, the correct graph would be option 2

Answer:

Option 2 is parallel to the x axis because only option 1 and 2 are a line across and option 1 is 3.2 units above.

Answer:

The basic technique to isolate a variable is to “do something to both sides” of the equation, such as add, subtract, multiply, or divide both sides of the equation by the same number. By repeating this process, we can get the variable isolated on one side of the equation.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

I just put the first one in desmos to see if it was the same

Answer:

B

Step-by-step explanation:

By making an equation where x = number of adult tickets and y = number of children tickets, we can get 2 equations:
8x + 6y = 1850
x + y = 255
then we solve the equation to get each of the amounts

Answer:

hold up this will take a min to work out

Step-by-step explanation:

Answer:

1250 7500 3

Step-by-step explanation: im just smart

Answer:

 D. The slingshot reaches a greater height at 150 feet, which is the vertex of the parabola.

Step-by-step explanation:

First let's examine the given equations

[tex]\displaystyle \rm\\(x -70)^2 + (y-77)^2 = 5184 ............. (1)\\y = -4x^2 + 40x + 50 ............... (2)[/tex]

Equation (1) is of the form of a standard equation for a circle
[tex]\displaystyle \rm (x-a)^2 + y-b)^2 = r^2\\\\[/tex]

where (a, b) is the center of the circle and r is the radius

Equation (2) is the standard equation of a parabola
y = ax² + bx + c where a, b and c are constant

So we know that the Ferris wheel motion is circular while the slingshot motion is parabolic

Let's compute the highest point at which the Ferris wheel reaches.

Given,  

[tex]\displaystyle (x-70)^2 + (y-77)^2 = 5184[/tex]
We can see that r² = 5182 by comparing it to the circle equation[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)}[/tex]

Therefore r = √5184 = 72. The diameter = 144 which is the highest point vertically from the center of the circle

The highest point on the circle = 144 + 5= 149 m since there is a 5' gap between the Ferris wheel and the ground at the lowest point so that has to be taken into account

For the parabola the vertex is the highest point and its x-coordinate given by   [tex]\displaystyle \dfrac{-b}{2a}[/tex]    in the standard equation for a parabola

Comparing the given equation with the standard equation we see that a = -4, b = 40 and c= 50

Therefore [tex]x_v[/tex] the x-coordinate of the vertex:
[tex]\displaystyle x_v=-\dfrac{40}{2\left(-4\right)} = 5[/tex]

The y coordinate of the vertex can be found by plugging in this value into the parabolic equation

[tex]\displaystyle y_v=-4\cdot \:5^2+40\cdot \:5+50 = 150[/tex]

This being the vertical coordinate of vertex of the parabola, the highest point that the slingshot reaches is 150'

So correct answer is D

Answer:

1.) CIRCLE B

2.) 14 cm ; 7cm ; 154cm²

Step-by-step explanation:

Given that:

CIRCLE A:

Diameter (d) = 9cm

CIRCLE B:

Radius (r) = 5cm

Circumference of circle A:

Radius (r) = diameter / 2

C = 2 * pi * r = 2 * 3.14 * (9/2) = 28.26 cm

Circumference of Circle B:

C = 2 * pi * r = 2 * 3.14 * 5 = 31.4 cm

CIRCLE B has the larger Circumference.

2.) circle with Circumference (C) = 44cm

Diameter of circle ;

C = 2 * pi * (d/2)

44 = 2 * 3.14 * (d/2)

44 = 6.28d / 2

88 = 6.28d

d = 14.01 = 14.0 cm ( 1 decimal place)

B.) Circle's Radius

Radius = diameter / 2

Radius = 14.0 / 2 = 7 cm

C.) Area (A) of the circle :

A = pi * r^2

A = 3.14 * 7^2

A = 3.14 * 49

A = 153.86

A = 154 cm²

Answer:

M TO L

Step-by-step explanation:

Its right there.

Answer: L

Step-by-step explanation:

Answer:

Answer:

it is not EWTD compliant

Step-by-step explanation:

Given that :

Directive = maximum average working hours per week = 48 hours

Engagement :

9:00 - 18:45 = (9 hrs 45 mins) - 30 mins = 9hrs 15 mins

9 hrs 15 mins for 3 days = 27 hours 45 mins

10:30 - 21:00 = (10 hrs 30 mins) - 45 mins = 9 hrs 45 minutes

Sundays (10:00 - 14:00) = 4 hours

Total work hours per week :

2(9hrs 15 mins) + 3(9hrs 45 mins) + 4 hours =;

18 hrs 30 mins + 29 hrs 15 minutes + 4 hours

(18 + 29 + 4) + 45 minutes

51 hours 45 minutes.

51 hours 45 minutes > 48 hours ; a Hence, it is not EWTD compliant

Answer:

The length of the pool is 462 m.

Step-by-step explanation:

The length of the pool is 462 m. We know this is the answer because, if we plug in the known width and known perimeter into the equation for the perimeter of a rectangle, we get:

73 * 462 = 336

Therefore, the length of the pool is 462 m.

Hi there!

[tex]\large\boxed{a = 6 m/s^{2}}[/tex]

Use the kinematic equation to solve for acceleration:

[tex]a = \frac{v_{f}-v_{i}}{t}[/tex]

Where:

vf = final velocity

vi = initial velocity

t = time

Plug in the given values:

[tex]a = \frac{65-35}{5}\\\\a = 30 / 5 \\\\=6 m/s^{2}[/tex]

Answer: B is the answer yup B

The ratio of the area of the smaller square to the area of the larger square, that have a perimeter ratio of 2:7 is 4:49

The ratio of the perimeter of the squares = 2 : 7

Required: The ratio of the area of the smaller square to the larger square.

Solution: The perimeter of a square of side x is 4•x

The comparative length of the side of each square are therefore;

2/4 and 7/4

The comparative area are therefore;

The ratio of the areas of the square is therefore;

(2/4)² : (7/4)² = 1/4 : 49/16

Multiplying both sides of the ratio by 16 gives;

16×1/4 : 16×49/16

4:49

Learn more finding the area of common shapes here:

https://brainly.com/question/15161819

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Answer:

The compound interest is Rs8275

Step-by-step explanation:

The rule of the compound interest is A = P[tex](1+\frac{r}{n})^{nr}[/tex], where

The interest I = A - P

∵ The amount of investment is Rs25000 for 3 years

∴ P = 25000

∴ t = 3

∵ The rate of interest is 10% per annum, compounded annually

∴ r = 10% = 10 ÷ 100 = 0.1

∴ n = 1 ⇒ compounded annually

→ Substitute these value in the 1st rule above to find the new amount

∵ A = 25000[tex](1+\frac{0.1}{1})^{1(3)}[/tex]

∴ A = 25000[tex](1.1)^{3}[/tex]

∴ A = Rs33275

→ Use the 2nd rule above to find the interest

∵ I = 33275 - 25000

∴ I = 8275

∴ The compound interest is Rs8275

Answer:

rotation 180 about the origin

Step-by-step explanation:

Answer:

Rotation of 180° about the origin.

Answer:

a) The slope of the line is [tex]-\frac{12}{5}[/tex]

b) The slope of the line is 1

Step-by-step explanation:

The rule of the slope of a line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]

a)

∵ The line passes through points (-3, 4) and (2, -8)

∴ x1 = -3 and y1 = 4

∴ x2 = 2 and y2 = -8

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-8-4}{2--3}[/tex] = [tex]\frac{-12}{2+3}[/tex] =  [tex]\frac{-12}{5}[/tex]

∴ m = [tex]-\frac{12}{5}[/tex]

∴ The slope of the line is [tex]-\frac{12}{5}[/tex]

b)

∵ The line passes through points (5, -3) and (1, -7)

∴ x1 = 5 and y1 = -3

∴ x2 = 1 and y2 = -7

→ Substitute them in the rule of the slope above to find it

∵ m = [tex]\frac{-7--3}{1-5}[/tex] = [tex]\frac{-7+3}{-4}[/tex] = [tex]\frac{-4}{-4}[/tex]

∴ m = 1

∴ The slope of the line is 1

Answer:

Step-by-step explanation:

12.

13. Yes it is propoitinal because they are even

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{ - 5}}}}[/tex]

☪[tex] \tt{Question} : [/tex]

☥ [tex] \tt{Step - by - step \: explanation : }[/tex]

☄[tex] \tt{Solution : }[/tex]

[tex] \sf{Step \: 1} : [/tex] Assign one of the ordered pairs to be ( x₁ , y₁ ) and another to be ( x₂ , y₂ )

[tex] \sf{Step \: 2} : [/tex] Substitute values into the slope formula and then simplify :

[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1}}} [/tex]

↦ [tex] \sf{ \frac{ - 8 - ( - 3)}{1 - 0}} [/tex]

↦ [tex] \sf{ \frac{ - 8 + 3}{1} }[/tex]

↦ [tex] \boxed{ \sf{ - 5}}[/tex]

Hence , Our answer is [tex] \boxed{ \sf{ - 5}}[/tex].

Hope I helped!

Have a wonderful day / night ツ

~TheAnimeGirl ♪

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Answer:

it is 6

Step-by-step explanation: