Colin gets pic 'n mix when at the cinema and makes his bag up with 3 types of sweet. He picks 3 times as many cola bottles as smarties. He also picks twice as many smarties as marshmallows. What proportion of the bag of sweets are cola bottles?
Give your answer in its simplest form.

Randy sells, in average, 460 vacuum cleaners per month.

First, we know that Janice sells 690 units per year.

There are 12 months in a year, so the amount that she sells, in average, per month is:

J = 690/12 = 57.5

This means that Janice sells, in average, 57.5 units per month. And Randy sells 8 times as many, then we can solve the product:

R = 8*57.5 = 460

This means that Randy sells 460 units per month.

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Work Shown:

[tex]\displaystyle \lim_{x \to c}f(x) = -4\\\\\\\lim_{x \to c}g(x) = 1/5\\\\\\L = \lim_{x \to c}\frac{g(x)}{f(x)}\\\\\\L = \frac{\displaystyle \lim_{x \to c}(g(x))}{\displaystyle \lim_{x \to c}(f(x))}\\\\\\L = \frac{1/5}{-4}\\\\\\L = (1/5)*(-1/4)\\\\\\L = -1/20\\\\[/tex]

Put simply, we divide the two given values g(x) = 1/5 over f(x) = -4 to end up with -1/20

Answer:

See below

Step-by-step explanation:

Here is how to start....you didn't include the equations in question, so I do not know what the answer may be

solve for x

y-10 = 5 x^2       divide thru by 5

(y-10)/5 = x^2       'sqrt' both sides

± sqrt( (y-10) / 5   = x        change   x's and y's

± sqrt ((x-10)/5)   = y

Answer:

It would be 30.

Step-by-step explanation:

If we make a list of all the sums that we can get, we have:

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways, since order matters, and we could do 2+1 instead of 1+2.

That gets us to 15x2 which is 30.

The number of ways that we can choose the marbles such that the sum of the numbers on my marbles equals the number on his would be 30.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

I have a bag with 6 marbles numbered from 1 to 6.

Mathew has a bag with 12 marbles numbered from 1 to 12.

1+2, 1+3, 1+4, 1+5, 1+6, 2+3, 2+4, 2+5, 2+6, 3+4, 3+5, 3+6, 4+5, 4+6, 5+6

These 15 sums can be chosen in two ways,

Since order matters, and we could do 2+1 instead of 1+2.

15 x 2 which is 30.

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Answer:

Answer:

Graph C shows the solution for the inequality

Step-by-step explanation:

y - 4 > 2(x + 2)

y > 2x + 4 + 4

y > 2x + 8

Let y = 2x + 8, Then

X-intercept (0, 8)

Y-intercept (-4, 0)

Since the inequality sign is > we use broken line.

Put,  (0, 0)

y > 2x + 8

0 > 0+ 8

0 > 8 Which is false

so, the answer will be above the broken line

Hence , Graph C shows inequality

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A function assigns the values. The function will be 8cos(2x-π)+4.

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

Given the maximum value is 12, while the minimum value is -4, therefore,

A = (Max-Min)/2 = 12-(-4)/2 = 8

D = (Max+Min)/2 = (12-4)/2 = 4

Period=π, but since x =-4 at 0 or π, therefore,

(2π/B) = π

B = 2π/π = 2

C/B = π/2, {∴At π/2 maximum}

C=π

Hence, the function will be 8cos(2x-π)+4.

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Answer:

  (c)  Yes, +4 more

Step-by-step explanation:

The problem statement is telling you the available quantity in pounds. The answer choices are expressing the difference in terms of packets. A conversion of units of measure is needed.

__

Patel has 8 pounds of seed, and he puts it into 1/2-pound packets. Each pound will fill two (2) half-pound packets, so he has enough for ...

  (8 lb) × (2 packets/lb) = 16 packets

Patel has 12 people planting seed, so needs 12 of the 16 packets in order to give each team member one packet.

He has enough seed for this need, and enough for 16 -12 = 4 more packets than he needs.

Answer:

The basic sine and cosine functions have a period of 2π. The function sin x is odd, so its graph is symmetric about the origin. The function cos x is even, so its graph is symmetric about the y-axis. The graph of a sinusoidal function has the same general shape as a sine or cosine function.

They are the three x-intercepts, the maximum point, and the minimum point. All of these are on your unit circle. The values of sin x correspond to the y-values, so those key points are (angle, y-value) or (0,0), (π/2, 1), (π, 0), (3π/2, -1), (2π, 0).

Answer:

x=-2

Step-by-step explanation:

Given equation:

8^x= 1/64

Ensure both sides of the equation are in power format by changing 1/64

1/64 = 64^-1

8^x = 64^-1

2^3(x) = 2^6(-1)

The bases will cancel out each other

3(x) = 6(-1)

3x = -6

x = -6/3

x = -2

Check

8^x = 1/64

x = -2

8^-2

= 1/8²

= 1/8*8

= 1/64

Answer:

Correct (192)

Step-by-step explanation:

The formula for a parallelogram's area is just base times height. 16x12 is equal to 192, so you are correct.

A parallelogram can be:

Therefore we calculate the rectangle of a square, which is a parallelogram.

To start solving, we obtain the following data:

The formula to calculate the area is:

[tex]\bf{a=b*h }[/tex]

To calculate the area, multiply the base by the height (which is represented in "h")

We clear formula, calculate the area:

[tex]\bf{A=(16 \ cm)(12 \ cm) \ \ \ ==== > \ Multiply }[/tex]

[tex]\bf{A=192 \ cm^{2} }[/tex]

Answer: The area of the parallelogram is 192 cm2. So if you're right, it was a rectangle.

Considering the given quadratic function, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

The equation of a quadratic function, of vertex (h,k), is given by:

y = a(x - h)² + k

In which a is the leading coefficient. If a > 0, the vertex is a minimum point, and if a < 0 it is a maximum point.

In this problem, the function is:

h(t) = -(t - 10)² + 95.

Hence the vertex is (10, 95), and since a < 0, the correct statement is given by:

The airplane reaches its maximum height of 95 feet in 10 seconds.

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Answer:

radius = √35 mm or 5.916 mm

Explanation:

Here:

Solve for radius:

[tex]\rightarrow \sf \pi r^2 = 110[/tex]

[tex]\rightarrow \sf \dfrac{22}{7} r^2 = 110[/tex]

[tex]\rightarrow \sf r^2 = \dfrac{110(7)}{22} =35[/tex]

[tex]\rightarrow \sf r = \sqrt{35}[/tex]

Let's see

Step-by-step explanation:

the right answer is 1.714

Answer:

D. 32

Step-by-step explanation:

The minimum value on the stem and leaf plot is 54

The maximum value on the stem and leaf plot is 86

to find the range,

max - min = 86 - 54 which is 32

Answer:

D) 32

Step-by-step explanation:

hope it helps!

Answer:

284.3

Step-by-step explanation:

Trapezoid Formula:

A=a+b/2*h

plug in the numbers

Answer:

x ≤ 1/2

Step-by-step explanation:

Domain:  input values (x-values)

We cannot take a square root of a negative number, therefore

3 - 6x ≥ 0

Solving the inequality:

⇒ 3 - 6x ≥ 0

⇒ 3 ≥ 6x

⇒ 1/2 ≥ x

⇒ x ≤ 1/2

Therefore, the domain is x ≤ 1/2

Answer:

(- 5, 4 )

Step-by-step explanation:

under a reflection in the line y = x

a point (x, y ) → (y, x ) , then

G (4, - 5 ) → G' (- 5, 4 )

The coordinates of the image of vertex G are (-5, 4)

When reflecting a figure in a line or in a point, the image is congruent to the pre image. A reflection maps every point of a figure to an image across a fixed line. The fixed line is called the line of reflection.

here, we have,

Let us revise some cases of reflection

If the point (x, y) reflected across the x-axis , then its image is (x, -y)

If the point (x, y) reflected across the y-axis , then its image is (-x, y)

If the point (x, y) reflected across the line y = x , then its image is (y, x)

If the point (x, y) reflected across the line y = -x , then its image is (-y, -x)

From the given figure

∵ The line of the reflection is y = x

→ That means we will switch the coordinates of the point to find its image

∵ The coordinates of vertex G are (4, -5)

∴ The x-coordinate = 4 and the y-coordinate = -5

→ Switch the two coordinates

∴ The coordinates of its image G' are (-5, 4)

∴ The coordinates of the image of vertex G are (-5, 4)

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x = 53/80 = 0.6625

​

if isn't right I have another equation

Answer:

13.25

Step-by-step explanation:

[tex]x - 7 \div 20 = 5 \div 16[/tex]

by cross multiplying

16(x-7)=5(20)

16x-112=100

16x=100+112

16x=212

x=212 /16

×=13.25

if the question is this

Answer:

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters

Step-by-step explanation:

Identify the diameter of Pool A.

d = 2r

d = 2(18) Substitute 18 for r.

d = 36 ft

Convert from feet to meters. Use the ratio of 1 foot to 0.305 meters.

36 × 0.305 = 10.98

The diameter of Pool A is about 10.98 meters.

Use the formula to find the circumference of Pool A.

C = πd

C = π(10.98) Substitute 10.98 for d.

C ≈ 3.14(10.98) Substitute 3.14 for π.

C ≈ 34.48 Multiply. Round to the nearest hundredth.

The circumference of Pool A is about 34.48 meters.

Identify the diameter of Pool B.

d = 11.16 m

The diameter of Pool B is 11.16 meters.

Use the formula to find the circumference of Pool B.

C = πd

C = π(11.16) Substitute 11.16 for d.

C ≈ 3.14(11.16) Substitute 3.14 for π.

C ≈ 35.04 Multiply. Round to the nearest hundredth.

The circumference of Pool B is about 35.04 meters.

The circumference of Pool B is greater than the circumference of Pool A.

Find how much greater the circumference of Pool B is compared to the circumference of Pool A.

35.04 − 34.48 = 0.56

The circumference of Pool B is greater than the circumference of Pool A by about 0.56 meters.

Answer:

B.) No, because it fails the vertical line test.

Step-by-step explanation:

You can determine whether or not graphs represent functions by performing the vertical line test. This test states that to be a function, there must only be one output for every input. In other words, there must be only one "y" value per "x" value. As you can see, for some "x" values there is more than one "y" value.

The easiest way to perform this test is by placing your finger at the top of the graph and moving it downwards. If you cross the line twice, then it must not be a function.

Answer:

[tex]y = 2x - 5[/tex]

Step-by-step explanation:

slope-intercept form is [tex]y = mx + b[/tex] with [tex]m[/tex] being the slope of the line and [tex]b[/tex] being the y-intercept (where the line touches the y-axis)

First we can find [tex]m[/tex] using the formula for slope, [tex]\frac{rise}{run}[/tex] (or [tex]\frac{y_1 - y_2}{x_1 - x_2}[/tex]), which is the change in y over the change in x.

We can use any points on the line, but I am going to use [tex](4, 3)[/tex] and [tex](3, 1)[/tex] for this example. We can now find the slope.

[tex]\frac{3-1}{4-3} = \frac{2}{1}[/tex]

This means your slope is 2, which means [tex]m[/tex] is 2.

Finding the y-intercept is easy. This line crosses the y-axis at -5, and so [tex]b[/tex] is -5.

Now we can plug in the values into our original equation to get the equation of the line.

[tex]y = 2x - 5[/tex]

That is the answer

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The bearing of point A from point B is 223°.

We have given that,

The bearing of point B from point A is 043°.

We have to determine the bearing angle,

Suppose that we have the angle BAD=43 degrees.

So angle CBA=43 degrees.

A bearing is an angle in degrees measured clockwise from north. Bearings are usually given as a three-figure bearing.

For example, 30° clockwise from the north is usually written as 030°.

Angle EBA= 180+∠CBA

=180°+43°

=223°

Therefore the bearing of point A from point B is 223°.

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The correct matching of each amount in the situation with the expression that represents it is:

Given that:

We have the situations and expressions that need to be matched such that:

Therefore, considering the situation,

The correct matching is given as:

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Using a trigonometric identity, it is found that the values of the cosine and the tangent of the angle are given by:

The identity that relates the sine squared and the cosine squared of the angle, as follows:

[tex]\sin^{2}{\theta} + \cos^{2}{\theta} = 1[/tex]

In this problem, we have that the sine is given by:

[tex]\sin{\theta} = \frac{1}{3}[/tex]

Hence, applying the identity, the cosine is given as follows:

[tex]\cos^2{\theta} = 1 - \sin^2{\theta}[/tex]

[tex]\cos^2{\theta} = 1 - \left(\frac{1}{3}\right)^2[/tex]

[tex]\cos^2{\theta} = 1 - \frac{1}{9}[/tex]

[tex]\cos^2{\theta} = \frac{8}{9}[/tex]

[tex]\cos{\theta} = \pm \sqrt{\frac{8}{9}}[/tex]

[tex]\cos{\theta} = \pm \frac{2\sqrt{2}}{3}[/tex]

The tangent is given by the sine divided by the cosine, hence:

[tex]\tan{\theta} = \frac{\sin{\theta}}{\cos{\theta}}[/tex]

[tex]\tan{\theta} = \frac{\frac{1}{3}}{\pm \frac{2\sqrt{2}}{3}}[/tex]

[tex]\tan{\theta} = \pm \frac{1}{2\sqrt{2}} \times \frac{\sqrt{2}}{\sqrt{2}}[/tex]

[tex]\tan{\theta} = \pm \frac{\sqrt{2}}{4}[/tex]

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From the above function, it is clear that the value of f is never 0. Hence the statement that is true is (Option E), See explanation of same below.

Note that the function is related to Euler's number which is depicted as:
e ≈ 2.7182. The function is given as:

f(x) = 100 * [tex]e^{-x}[/tex]

Assuming x = -2, we'd have:

100 * 2.7182[tex]^{-2}[/tex]

= 271.82[tex]^{-2}[/tex]

= 0.00001353354

Hence, even when x tends < 0 the function f(x) thus, is never 0. See the attached graph for confirmation.

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Answer:

The reason why this may be happening is because the expenses may be higher than the amount of revenue that the business is making, the cost of rent, paying the employees and running the business may be higher than the revenue that is being made. The inflows may be higher than the outflows, in which case the profit is lower than the loss and may be the reason why the owner is having trouble keeping the business running.

Step-by-step explanation:

Answer:Mxy= [(Xa+Xb/2);(Ya+Yb/2)]

=(2+8/2);(3+9/2)

Midpoint= (5, 6)

Step-by-step explanation: