The following statements describe a set of railroad tracks. Based only on the
statement, make a conclusion about the rails or the railroad ties. Explain.

a. The railroad ties are each perpendicular to one rail.


b. The rails are parallel. One railroad tie is perpendicular to one rail.

Answer:

(r * g)(x) =30xx + 6x

if it was composition

r (q(x)) =  5(6x) + 1 = 30x + 1

Step-by-step explanation:

Q(x)=6x and r(x)=5x+1

Find (r•q)(x)

multiplying the functions, right?  not composition of functions.

(r * g)(x ) =   (5x + 1) * 6x =   30xx + 6x

(r * g)(x) =30xx + 6x

if it was composition

r (q(x)) =  5(6x) + 1 = 30x + 1

Answer:

6051

Step-by-step explanation:

fo sho

Answer:

1.)angle 0 = 62 degrees,  

2.) angle 0 = 90 - y degrees.

Step-by-step explanation:

1). Sin(0) = cos (28)

angle 0 would be  arcsin (cos (28)) =  62 degrees.

2). Cos(y) = sin (0)

angle 0 = arcsin ( cos (y) ) = 90 - y

To solve the equations involving trigonometric functions Sin(0) = cos(28) and Cos(y) = sin(0), use co-function identities to find 0 equals 62 degrees or (90° - 28°), and y could be 28 degrees or (360° - 28°) due to cosine's periodic nature.

To solve the set of equations Sin(0) = cos (28) and Cos(y) = sin (0), we need to apply trigonometric identities and the given constraints.

Firstly, we can use the co-function identities which state that sin(90° - x) = cos(x), and similarly, cos(90° - x) = sin(x). Therefore, for the first equation, we can express 0 in terms of 28°:

sin(0) = cos(28°) implies 0 = 90° - 28° or 0 = 62°.

For the second equation, we replace 0 with 62°:

cos(y) = sin(62°)

We know that sin(62°) equates to the same value as cos(28°) from the first equation.

Therefore, cos(y) = cos(28°), which means y = 28° or y = 360° - 28° due to the periodic nature of cosine.

Answer:

1st one and the third one

Step-by-step explanation:

25(0)=25

25+0=25

Answer:

25(1) = 25

25 + 0 = 25

those are the correct answers

The point on a number line that is closest to Pi (π), which is approximately 3.14, would be the point representing either 3 or 4 as they are the closest whole numbers. However, a point representing 3.14 or a closer approximation would be even nearer.

The question is asking to identify which point on a number line is closest to Pi (π), a mathematical constant that approximately equals 3.14. On a number line, you can visualize numbers as points. As Pi is 3.14 approximately, the closest point to Pi on a number line would naturally be the point that represents 3 or the point representing 4, as these are the two closest whole numbers to 3.14. However, if there's a point representing the value 3.14, or even closer approximation like 3.141, it would be even closer to Pi than the points representing 3 or 4.

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Answer:

cylinder

Step-by-step explanation:

Answer:

13 Millilitres.

Step-by-step explanation:

Yoku uses 2ml to cover [tex]50cm^2[/tex] of his skin.

He wants to know how many millilitres of sunscreen he will need to cover [tex]325cm^2[/tex] of his body.

If Yoku covers [tex]50cm^2[/tex] of his skin will 2ml

He will cover [tex]1cm^2[/tex] of his skin with [tex]\frac{2}{50}ml[/tex] of sunscreen.

Therefore:

To cover [tex]325cm^2[/tex] of his body, he will use:

[tex]\frac{2}{50} X 325 ml\\=13ml[/tex]

he would require 13 Millilitres.

Answer:

13 is the answer!!!

Step-by-step explanation:

Answer:

Shapes 1 and 3 are congruent

Step-by-step explanation:

The only thing different between them is that the first one is tilted to look different.

Answer:

the 1st and 3rd one.

Step-by-step explanation:

the first 3 are similar in shape but, the 1st and 3rd one are congruent because they have the same size and shape.

The probability that a student will not be assigned a project on Australia is 20/24, which simplifies to 5/6.

The probability that a student in Mr. Woosley's class will not be assigned a project on Australia can be found by subtracting the probability of being assigned Australia from 1. There are a total of 24 slips of paper representing continents, and 4 of these are Australia. Therefore, there are 24 - 4 = 20 slips that are not Australia.

The probability, P(NOT Australia), is calculated as follows

Calculate the total number of slips: 6 (Africa) + 8 (Asia) + 4 (Australia) + 6 (Europe) = 24.

Determine the number of slips that are not Australia: 24 - 4 (Australia) = 20.

Find the probability: P(NOT Australia) = Number of non-Australia slips / Total number of slips = 20 / 24.

Therefore, the probability that a student will not be assigned a project on Australia is 20/24 or 5/6 when simplified.

Answer:

168miles

Corrected question;

12. Raymond is reading a road map. On the map, 1/4- inch represents 12 miles. Approximately

how many miles apart are two cities that are 3 1/2 - inches apart on Raymond's map?

F. 12

G. 48

H. 96

J. 132

K .168

Step-by-step explanation:

Given;

1/4 inch = 12 miles

3 1/2 = 7/2 = 14/4 inch

number of 1/4 inch in 14/4 inch is;

14/4 ÷ 1/4 = 14

14/4 inch = 12×14 miles = 168miles

Answer:

11m.

Step-by-step explanation:

500cm=5m

6+5=11m

Answer:

An exponential equation is when we let the the independent variable become the exponent.

The volume of the cone, calculated using the given slant length and diameter, is approximately 18.84 cubic units, therefore the correct answer is B. 18.84 cubic units.

The subject of this question is the volume of a cone. In order to calculate the volume of a cone, you need to use the formula: V = 1/3πr²h. However, in this case, you are given the slant length and the diameter. First, we need to find the radius (r) and the height (h) of the cone. The radius would be half the diameter, so r = 4/2 = 2. Then, from the given slant length (s) and radius (r), we can find the height by using Pythagoras' theorem: h = sqrt(s² - r²) = sqrt(5² - 2²) = sqrt(21). Now we can substitute r and h into the volume formula: V = 1/3*3.14*2²*sqrt(21) which is approximately 18.84 cubic units. So the answer is option B.18.84 cubic units.

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Answer:

Sue's percentage profit = 9% on each tin of green paint she sells.

Step-by-step explanation:

Litres of green paints mixed = 50 litres

Ratio of litres of yellow paint and litres of blue paint = 1:4.

To determine the litres of yellow paint, we say:

[tex]yellow \: paint = \frac{1}{4} \times 50 = 10 \: litres[/tex]

To determine the litres of blue paint, we say:

[tex]blue \: paint = \frac{4}{5} \times 50 = 40 \: litres[/tex]

Since yellow paint is sold in 5 litres per tin and each tin cost £38; she has 10 litres of yellow paint in all. That implies that she has 10/5 = 2 tin of yellow paint. If one tin cost £38; 2 tin cost 2 × £38 = £76

Similarly,

Since blue paint is sold in 10 litres per tin and each tin cost £58; she has 40 litres of blue paint in all. That implies that she has 40/10 = 4 tin of blue paint. If one tin cost £58; 4 tin cost 4 × £58 = £232

Total cost of yellow and blue paints = £232 + £76

= £308

Since Sue sells all the green paint she makes in 10 litre tins at £89.32 per tin and she has 50 litres in all; we say: 50/10 litres = 5 tins = 5 × £89.32 = £446.60.

Thus, selling price of the green paint = £446.60

[tex]profit \: \% = \frac{selling \: price - cost \: price}{cost \: price} \times \frac{100}{1} [/tex]

[tex]profit \: \% = \frac{446.60 - 308}{308} \times \frac{100}{1} [/tex]

[tex]profit \: \% = \frac{138.60}{308} \times \frac{100}{1} [/tex]

[tex]profit \: \% = 0.45 \times 100[/tex]

[tex]profit \: \% = 45\%[/tex]

Sue's percentage profit for selling all the tins of green paint is 45%, having sold 5 tins. Therefore, Sue's percentage profit for selling each of the paint will be:

[tex]profit \: \% \: on \: each \: green \: tin = \frac{45}{5} = 9\%[/tex]

Hence, Sue's percentage profit for selling each tin of green paint is 9%.

Proof

9% × 5 tins of green paint = 45%

Final answer:

Sue's percentage profit on each tin of green paint she sells is approximately 44.94%. This is calculated by finding the total cost of inputs, subtracting from the total sales revenue, and then finding the profit ratio to the cost.

Explanation:

To calculate Sue's percentage profit on each tin of green paint she sells, we need to first determine the cost of producing the green paint and then subtract that cost from the selling price. The green paint is produced in a ratio of 1:4 yellow to blue paint, making 50 litres total. Therefore, Sue uses 10 litres of yellow paint and 40 litres of blue paint to make 50 litres of green paint.

Yellow paint costs £38 for a 5-litre tin, so two tins are needed (costing £76 total) to get the required 10 litres. Blue paint costs £58 for a 10-litre tin, so four tins are needed (costing £232 total) to get 40 litres. This brings the total cost to £308 for 50 litres of green paint.

Sue sells her green paint at £89.32 per 10-litre tin. Therefore, for 50 litres, she gets 5 tins x £89.32 = £446.60.

The profit Sue makes is the selling price minus the cost price, which is £446.60 - £308 = £138.60. To find the percentage profit per tin, divide the profit by the cost and multiply by 100:

(£138.60 / £308) x 100 = 44.94%

Therefore, Sue's percentage profit on each tin of green paint she sells is approximately 44.94%.

Answer:

b

Step-by-step explanation:

The table could show the relationship between the number of toppings and the cost of a medium pizza is table B.

We divide the change in y (output) by the change in x to determine the average rate of change (input).

The pace at which one quantity changes in relation to another quantity is known as the rate of change function. Simply said, the rate of change is calculated by dividing the amount of change in one item by the equal amount of change in another.

In table 1, when the topic goes from 4 to 5 then the price increase by $2 which is not convenient here.

In table 2, when the topic goes from 4 to 5 then the price increase by $1 which is not convenient here.

In table 3, when the topic goes from 4 to 5 then the price increase by $2 which is convenient here.

In table 4, when the topic goes from 4 to 5 then the price increase by $2 which is not convenient here.

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Answer:

0

Step-by-step explanation:

1/3(21)-1-1/2(12)

7-1-6=6-6=0

The total number of pieces of fruit that they bought should be 72.

Here we assume 3 bags of apples with 4 apples in each bag  [tex](3 \times 4 = 12)[/tex]

And, 3 bunches of bananas with 4 bananas in each bunch  [tex](3 \times 4 = 12)[/tex]

Now  

= 12 + 12

= 24 pieces of fruit

Since

4 + 4 + 4  (12)  apples   +   4 = 4 + 4  (12)  bananas

So,

= 12 + 12

= 24  

here we need to multiplied by 3

So,  [tex]= 24 \times 3[/tex]

= 72

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Answer:

Step-by-step explanation:

o find the area of a regular polygon, all you have to do is follow this simple formula: area = 1/2 x perimeter x apothem. Here is what it means: Perimeter = the sum of the lengths of all the sides. Apothem = a segment that joins the polygon's center to the midpoint of any side that is perpendicular to that side.

Answer:The value of X is 7.

Step-by-step explanation: It's counting up starting at 3 so the 4..5..6..7 so, then the 6 is right one the invisible line with X

Answer:

x =2

Step-by-step explanation:

Similar triangles:-

   Given diagram ΔABC  AND ΔDBE are similar triangles.

    [tex]\frac{BC}{BE} = \frac{AB}{BD}[/tex]

  [tex]\frac{x+x+1}{x+1} = \frac{6+4}{6}[/tex]

on simplification , we get

[tex]\frac{2x+1}{x+1} = \frac{6+4}{6}[/tex]

cross multiplication , we get

12x+6 =10x +10

12x-10x = 10 -6

 2x =4

  x =2

Therefore the value of x =2

verification:-

[tex]\frac{BC}{BE} = \frac{AB}{BD}[/tex]

[tex]\frac{2x+1}{x+1} = \frac{6+4}{6}[/tex]

put x=2

[tex]\frac{2(2)+1}{2+1} = \frac{6+4}{6}[/tex]

[tex]\frac{5}{3} = \frac{6+4}{6}[/tex]

[tex]\frac{5}{3} = \frac{5}{3}[/tex]

both sides are equal

Therefore x value is 2

Final answer:

The quadratic equation x²-5x-31=5 is solved by factoring to (x - 9)(x + 4) = 0, giving the solutions x = 9 and x = -4.

Explanation:

To solve the quadratic equation x²-5x-31=5 by factoring, we first move all terms to one side to get it into standard form:

x² - 5x - 36 = 0

Next, we look for two numbers that multiply to -36 and add up to -5. These numbers are -9 and 4. So, we can write:

(x - 9)(x + 4) = 0

Now, we have two possible solutions for x:

Therefore, the solutions to the equation are x = 9 and x = -4.

Answer:

C

Step-by-step explanation:

V(t) = [x(t)]³

A(t) = 6[x(t)]²

dV/dt = k × 6[x(t)]²

Where k < 0

From the options,

taking k = -0.2

dV/dt = -1.2[x(t)]²

The correct answer is A) dV/dt=-1.2x^2, which represents a rate of volume decrease directly proportional to the cube's surface area.

The question involves finding a differential equation that describes the rate at which the volume of a cube decreases when the rate is proportional to the cube's surface area. Since the surface area of a cube is 6x(t)^2 and the volume is x(t)^3, the rate of decrease in volume, dV/dt, is proportional to the surface area.

The correct differential equation would show this relationship by having the change in volume be proportional to the square of the edge length, so dV/dt = -kx^2 for some constant k, which means the valid option is A) dV/dt=-1.2x^2.

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Based on the circle shown above, the name of segment AC include the following: C. diameter.

In Mathematics and Euclidean Geometry, a circle refers to the set of all points in a plane that are located at a fixed distance (radius) from a fixed point.

Generally speaking, the diameter of a circle simply refers to a straight line that passes through the middle (center) to the other end of the circle, thereby, measuring the distance from one end point to another.

This ultimately implies that, the diameter of a circle is double the length of the radius of a circle;

Diameter = 2 × radius

Answer:

the base length of the triangle is 4 units, u can count that. and the height of triangle is 2 units, thats the dotted line one. and the equation of triangle area is (length x height) divided by 2so in this case it'll be (4x2) /2=4 square units.

Step-by-step explanation:

Answer:

The base is 7 and the height is 9

Step-by-step explanation:

vertices Q(-1,1), R(6, 1), S(6-8), and T(-1,-8)

If you look at the coordinates, you will notice that Q and R lie on line y = 1

and S and T lie on the line y = -8

so  line QR || line ST

that means the height of this rectangle is  |1 - -8| = 9

the  length must be  from point Q to R

length = |-1 - 6| = 7

dimension is  7 by 9

FOLLOW ME FOR CLEARING YOUR NEXT DOUBT

Hey there!

The Distributive Property states that

a(b+c)=ab+ac

Now simplify this expression:

6.3(m+7)+m+2

Distribute 6.3:

6.3m+44.1+m+2

Combine Like terms:

6.4m+m+44.1+2

7.4m+46.1

With this we're done!

Hope everything is clear.

Let me know if you have any questions!

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[tex]\boxed{An~Emotional~Helper}[/tex]

Answer:

0-9 = 4

10-19 = 3

20-29 = 9

30-39 = 5

Step-by-step explanation:

I just did it right now!

The correct number into the boxes to complete the frequency table are,

Interval    Frequency

0-9                4

10-19              3

20-29            9

30-39             5

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Wendy kept track of the number of text messages she sent each day for three weeks.

Now, We can formulate;

Interval    Frequency

0-9                4

10-19              3

20-29            9

30-39             5

Thus, The correct number into the boxes to complete the frequency table are,

Interval    Frequency

0-9                4

10-19              3

20-29            9

30-39             5

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Answer:

108 ft2 is the area of the other rectangle

Step-by-step explanation:

If the first length is 3 and the second one is 6 if you find the width of the first rectangle, it has to be double like the length and 18*6 = 108

Answer:

108

Step-by-step explanation:

the scale is 2x

27/3 = 9

9 x 2 is 18

18 x 6 is 108

Answer:C. 1.4 10-11 N up

step-by-step explanation:

Explanation:

The magnetic force, F on a charge q moving with velocity v in a magnetic field B at an angle θ is given by:

F = q v B sin θ

Charge of proton, q = 1.6 × 10⁻¹⁹ C

Strength of magnetic field, B = 3.4 T pointing outwards

velocity of the proton, v = 2.5 × 10⁷ m/s towards left

Magnetic force is given by:

F =  1.6 × 10⁻¹⁹ C× 2.5 × 10⁷ m/s ×3.4 T× sin 90 = 13.6 × 10⁻¹² N = 1.4 × 10⁻¹¹ N up

The direction of the force is given by Lorentz Right hand rule. The fingers point magnetic field, the thumb points towards velocity, then the force on the proton is given by the direction perpendicular to the palm.  

The magnetic field acts outwards with velocity of the proton towards left. The force would act perpendicular to the two -upwards.

The magnetic force on the proton, moving to the left at 2.5 x [tex]10^6[/tex] m/s in a 3.4 Tesla magnetic field directed toward you, is approximately 1.36 x [tex]10^{-12}[/tex] Newtons.

To calculate the magnetic force acting on the proton in this scenario, we'll use the formula F = q × v × B × sin(θ), where:

F is the magnetic force,

q is the charge of the proton (1.6 x [tex]10^{-19}[/tex] C),

v is the velocity of the proton (2.5 x [tex]10^6[/tex] m/s),

B is the magnetic field strength (3.4 Tesla), and

θ is the angle between the proton's velocity vector and the direction of the magnetic field.

In this case, since the proton is moving to the left and the magnetic field is directed toward you, the angle θ is 90 degrees because they are perpendicular to each other.

Now, plug the values into the formula:

F = (1.6 x  C) × (2.5 x [tex]10^6[/tex] m/s) × (3.4 Tesla) × sin(90°)

sin(90°) is equal to 1, so:

F = (1.6 x [tex]10^{-19}[/tex] C) × (2.5 x [tex]10^6[/tex] m/s) × (3.4 Tesla) × 1

F ≈ 1.36 x [tex]10^{-12}[/tex] N

So, the magnetic force acting on the proton is approximately 1.36 x [tex]10^{-12}[/tex] Newtons. This force causes the proton to experience a curved path due to the interaction between its velocity and the magnetic field.

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Complete question below:

"What is the magnetic force acting on a proton moving at a velocity of 2.5 x [tex]10^6[/tex] m/s to the left when it enters a magnetic field with a strength of 3.4 Tesla, directed toward you? The charge of a proton is 1.6 x [tex]10^{-19}[/tex] C. Calculate the magnetic force using the formula F = q × v × B × sin(θ)."

I mean, you can divide the counters by the range 2 - 38.

I only managed to find out that 38 ÷ 2 = 19.

And 38 ÷ 19 = 2.

It says that there are more than 10 counters in each bag.

So 2 bags is the most liable option.

There are 2 bags and 19 counters in each bag.

Answer:

2 bags, 19 counters.

Step-by-step explanation:

This question is looking for factors of 38 with counters being a factor greater ten and the number of bags being the factor that multiplies the counters to get 38. First, find the factors of 38.

1 x 38 = 38

2 x 19 = 38

Since the problem says bags with an s, we can know that there has to be more than one bag. That leaves us with 2 x 19.