This graph shows Jesemy's distance from home each hour he is on a car trip. How many miles will he be from home after 10 hours?
500 miles
550 miles
400 miles
350 miles

Answer:

4x+9y-36=0

Step-by-step explanation:

Use the slope-intercept form  

y

=

m

x

+

b

 to find the slope  

m

and y-intercept  

b

.

Slope:  

−

4

9

y-intercept:  

(

0

,

4

)

Step-by-step explanation:

For some side x, we are given two angles so let use law of sines

We don't know the angle opposite of the x side so we using the triangle interior property

\(120 + 51 + x = 180\)

\(x = 9\)

So the missing angle is 9.

The law of sines formula is that

\( \frac{a}{ \sin( \alpha ) } = \frac{b}{ \sin( \beta ) } \)

where a and b are side lengths.

And alpha, and Beta are angles that are OPPOSITE of the side lengths, a and b, respectively

Let a be 25,

therefore alpha is 120

Let b be x,

therefore beta is 9.

\( \frac{25}{ \sin(120) } = \frac{x}{ \sin(9) } \)

Solving for x.

\(25 \times \frac{ \sin(9) }{ \sin(120) } = x\)

\(x = 4.51587\)

Round if needed so our answer is

\(x = 4.5\)

Answer:

$3040 profit made

Step-by-step explanation:

$13×95=$1235 cost to make all the shoes they sold

$45×95=$4275 money she made

$4275-$1235=$3040 profit

Answer:

1) 78

2) 28

3) 74

4) 28

5) 74

6) 106

7) 74

8) 74

9) 78

10) 78

Answer:

see explanation

Step-by-step explanation:

using the tangent ratio in the right triangle

tan A = \(\frac{opposite}{adjacent}\) = \(\frac{BC}{AB}\) = \(\frac{5}{11}\) , then

∠ A = \(tan^{-1}\) ( \(\frac{5}{11}\) ) ≈ 24.4° ( to 1 decimal place )

tan C = \(\frac{opposite}{adjacent}\) = \(\frac{AB}{BC}\) = \(\frac{11}{5}\) , then

∠ C = \(tan^{-1}\) ( \(\frac{11}{5}\) ) ≈ 65.6° ( to 1 decimal place )

using Pythagoras' identity in the right triangle

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

AC² = AB² + BC² = 11² + 5² = 121 + 25 = 146 ( take square root of both sides )

AC = \(\sqrt{146}\) ≈ 12.08 ( to 2 decimal places )

Sarah spends reading 30 min + \(0.05 min^{2}\).

An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numbers (constants), variables, operations, functions, brackets, punctuation, and grouping.

However, in modern mathematics, and particularly in computer algebra, formulae are considered expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.

The problem is in a mathematical expression.

30 min+3s min did Sarah spend reading

Convert s to min

.30min+3s min× 1min/60s

Cancel the common units and simplify.

Cross-cancel units.

30 min + \(0.05 min^{2}\)

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The shape that can tessellate without leaving gaps is the hexagon (option A).

The shapes that can tessellate without leaving gaps are shapes that can be repeated to completely cover a flat surface without any overlaps or gaps. Among the options provided, the shape that will tessellate without leaving gaps is the hexagon (option A).

A hexagon is a six-sided polygon with equal sides and angles. It is a regular polygon, which means all of its sides and angles are equal. A regular hexagon can be arranged and repeated in a pattern to fill a plane without any gaps or overlaps. Bees' honeycombs are a real-world example of hexagonal tessellation.

On the other hand, octagons (option B) and pentagons (option C) do not tessellate by themselves without gaps. While they can be used in combination with other shapes to create tessellations, they cannot tessellate on their own.

A circle (option D) cannot tessellate without leaving gaps. A circle is a curved shape, and it cannot form a repeating pattern that completely covers a flat surface without overlaps or gaps.

In summary, the shape that can tessellate without leaving gaps is the hexagon (option A).

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The percentage of the distance Dominic is on the path is his distance

travelled as a fraction of the total distance when equivalent to 100.

The distance he has travelled on the path is 8.75 miles.

The given parameter are;

Length of Dominic's path = 12.5 miles

The length of the way Dominic is to the end = 70%

Required:

The distance Dominic has travelled on the path

The distance Dominic has travelled, D is 70% of 12.5 miles.

70% of 12.5 miles = 70% × 12.5 miles = 8.75 miles

The distance Dominic has travelled on the path, D = 8.75 miles

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Answer:

MBI, MBV, ABV, ABI, MPI, MPV, APV, API

Answer:

x = 42

y = 21

Step-by-step explanation:

Since its a right triangle, we have:

sin x = opposite/hypotenuse

cos x = adjacent/hypotenuse

\(sin (60) = \frac{21\sqrt{3} }{x} \\\\x= \frac{21\sqrt{3} }{sin (60)} \\\\x= \frac{21\sqrt{3} }{\frac{\sqrt{3} }{2} } \\\\x = \frac{21\sqrt{3} *2 }{\sqrt{3} } \\\\x = 21*2\\\\x = 42\)

\(cos (60) = \frac{y}{x}\\\\cos (60) = \frac{y}{42}\\\\y = cos (60)*42 \\\\y = \frac{1}{2} * 42\\\\y = 21\)

Answer:

1

for each 2 inches you get 2 feet so its 2 to 2 divide that down and its 1 to 1

Step-by-step explanation:

The cost of the 24 candy bars is $6.

If he is to make a profit of $12, that means that he must sell all the candy bars for:

Since there are 24 candy bars, the cost of 1 candy bar can be calculated to be:

He needs to charge $0.75 per candy bar.

Answer:

pls include a screenshot of the graphs

Step-by-step explanation:

Answer:

x = 2.33

Step-by-step explanation:

3x(4 - 8) + 23 = 9x - 26

12x - 24x + 23 = 9x - 26

-12x + 23 = 9x - 26

       -23          -23

---------------------------

-12x = 9x - 49

-9x     -9x

----------------------------

-21x = -49

/-21      /-21

----------------------------

x = 2.333.....

Answer:

\(x=2.33\)

Step-by-step explanation:

\(3x\left(4-8\right)+23=9x-26\)

\(-12x+23=9x-26\)

\(-12x+23-23=9x-26-23\)

\(-12x=9x-49\)

\(-12x-9x=9x-49-9x\)

\(-21x=-49\)

\(\frac{-21x}{-21}=\frac{-49}{-21}\)

\(x=2.33\)

Answer:

how can i help also comment me i wanna talk bc im lonely lol

Step-by-step explanation:

The cost of one dog collar and one dog leash are 10.25 dollars and 14.5 dollars respectively

let

the cost of each dog collars = x

the cost of each leashes = y

Therefore,

3x + 2y = 59.75

x + 3y = 53.75

Hence,

3x + 2y = 59.75

3x + 9y = 161.25

7y = 101.5

y = 101.5 / 7

y = 14.5

Therefore,

x + 3y = 53.75

x + 3(14.5) = 53.75

x = 53.75 - 43.5

x = 10.25

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(a) The probability that a point chosen randomly inside the rectangle is in the square is 0.6.

(b) The probability that a point chosen randomly inside the rectangle is outside the square is 0.4.

The probability that a point chosen randomly inside the rectangle is in each given shape is calculated as follows;

The area of the triangle is calculated as follows;

area = ¹/₂ x base x height

area = ¹/₂ x 4 x 5

area = 10 sq.units

The area of the rectangle is calculated as follows;

area = 4 x 4

area = 16 sq.units

The probability that a point chosen randomly inside the rectangle is in the square is calculated as;

P = outcome / total possible outcome

P = ( 10 ) / 16

P = 0.625 ≈ 0.6

The probability that a point chosen randomly inside the rectangle is outside the square;

P = 1 - p(inside)

P = 1 - 0.6

P = 0.4

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Answer:

Where is the question? First tell the question then I think I can help you

The list of elements in the sets are as follows:

A.  A ∩ B = {2, 9}

B. B ∩ C = {2, 3}

C. A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D. B ∪ C = {2, 3, 5, 7, 9, 10}

Set are defined as the collection of objects whose elements are fixed and can not be changed.

Therefore,

universal set = U = {1,2,3, 4, 5, 6, 7, 8, 9, 10​}

A = {1, 2, 7, 8, 9}

B = {2, 3, 5, 9}

C = {2, 3, 7, 10}

Therefore,

A.

A ∩ B = {2, 9}

B.

B ∩ C = {2, 3}

C.

A ∪ B ∪ C = {1, 2, 3, 5, 7, 8, 9, 10}

D.

B ∪ C = {2, 3, 5, 7, 9, 10}

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Answer:

x = 12 efg = 132

Step-by-step explanation:

Hi,

4x = 48

x = 12

Which means...

m < EFG is

4x

4 (12) = 48

m < EFG is 48 degrees

I hope this helps :)

Answer:

r = 5

Step-by-step explanation:

the sine rules formula :

sin Q/q = sin R/r

=> r = q× sin R / sin Q

= 6× ⅓ / (2/5)

= 2 /(2/5)

= 2× 5/2

= 5

The measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

According to the rule, the ratio of the sides to the opposite angles is a constant. Mathematically:

p/sinP = q/sinQ = r/sinR

Given the following parameters

sinQ=2/5, sinR=1/3, and q=6.

6/(2/5) = r/(1/3)
30/2 = 3r
15 = 3r
r = 5

Hence the measure of side length "r" if sinQ=2/5, sinR=1/3, and q=6 is 5

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Answer:

The last one!

Step-by-step explanation:

The choice of auto insurance plan depends on the value of the vehicle and financial situation. Plan 2 with higher coverage and deductibles is better for expensive vehicles and those with higher financial stability.

Insurance is a contract between an individual or an entity and an insurance company. The individual or entity pays a premium, and in return, the insurance company agrees to pay for losses or damages that occur, as per the terms of the policy.

Financial stability refers to a situation where an individual, household, company, or economy can manage their financial resources and obligations in a sustainable manner, without facing significant risks or uncertainty.

According to the given information:

Based on my vehicle's value and my financial situation, I have decided to choose Plan 1.

Bodily injury liability coverage provides protection if I were to injure someone while driving, and the amount of coverage in Plan 1 ($25,000 per person up to $50,000 per accident) is adequate for my needs. Property damage liability coverage provides protection for any damage I might cause to someone else's property while driving, and the $25,000 coverage in Plan 1 is also sufficient.

Collision insurance provides coverage for any damage to my own vehicle in the event of an accident, regardless of who is at fault. The $100 deductible in Plan 1 means that I would have to pay the first $100 of any repair costs, but the lower annual premium makes this plan more affordable for me.

Comprehensive insurance provides coverage for non-collision events, such as theft, fire, and natural disasters. Again, the lower annual premium of Plan 1 with a $50 deductible makes it more cost-effective for me.

Uninsured/underinsured motorist coverage is not included in either plan, so I would need to decide if I want to add this coverage as an additional policy or not.

Overall, based on the value of my vehicle and my financial situation, Plan 1 provides adequate coverage at a more affordable price. However, it is important to note that everyone's situation is unique and insurance needs may vary. It is always a good idea to shop around and compare different policies before making a final decision.

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Lo siento, pero no puedo responder a su pregunta en español. Sin embargo, puedo responderla en inglés si eso es útil para usted.

Based on the information provided in the table, it appears that the standard deviation of Group 1 is 2.3 and the standard deviation of Group 2 is 1. Without additional information, it is difficult to draw definitive conclusions about the variation of the data in each group.

However, it is possible to make some tentative conclusions. Since the standard deviation of Group 1 is larger than that of Group 2, it may suggest that the data in Group 1 is more spread out or has more variability than the data in Group 2. Conversely, the smaller standard deviation in Group 2 may indicate that the data is more tightly clustered or has less variability.

It is important to note that the standard deviation is just one measure of variability and should be interpreted in conjunction with other statistical measures to draw more meaningful conclusions about the data.

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The option (b) set y equal to a constant other than zero to get the curve of points where the slope is that constant.

A slope field is a visual representation of the slopes of a function's derivative at different points on the xy-plane. The slope at a particular point in the xy-plane is given by the derivative of the function at that point.

To match the given equations with their corresponding slope fields, you need to analyze the behavior of the slopes and isoclines. An isocline is a curve in the plane along which the slope of a function is constant. Isoclines are useful in constructing slope fields by hand, as they help in determining the slope at different points.

To start with, set y equal to zero and observe how the derivative behaves along the x-axis. Similarly, set x equal to zero and observe the behavior of the derivative along the y-axis. These observations will give you an idea of the direction and magnitude of the slope at different points in the xy-plane.

Next, consider the curve in the plane defined by setting y' = 0. This curve represents the points in the picture where the slope is zero. These points are known as critical points or equilibrium points. They are essential in analyzing the stability and behavior of a system.

These curves are called isoclines and can be used to construct the slope field picture by hand.

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Complete Question:

Match the following equations with their slope field. Clicking on each picture will give you an enlarged view. While you can probably sove this problem by guessing, it is useful to try to predict characteristics of the slope field and then match them to the picture Here are some handy characteristics to start with- you will develop more as you practice. Set y equal to zero and look at how the derivatiwe behaves along the x axis. Do the same for the y axis by setting x equal to 0. Consider the curve in the plane defined by setting y' = 0-this should correspond to the points in the picture where the slope is zero. Setting y equal to a constant other than zero gives the curve of points where the slepe is that constant. These are called isoclines, and can be used to construct the slope field picture by hand.

EXPLANATION

Binomial is a polynomial with two, unlike terms while a trinomial is an algebraic expression (polynomial) with three, unlike terms.

From the question given:

Simplify the above by first opening the parenthesis.

Add/ subtract the like terms.

Since, there are only 2 terms in the result, then it is a binomial.

Also, the highest exponent in the expression is the degree of the binomial.

The highest component in this case is 6, hence it is of degree 6 when the exponent of a and b are added.

Therefore, it is a binomial with degree 6.

Answer:

  (c)  (-∞, -2] ∪ (-1, ∞)

Step-by-step explanation:

You want the range of the piecewise function shown in the graph.

The range is the vertical extent of the graph, the set of possible output values of the function.

This graph shows a gap between y = -2 and y = -1. The value y = -2 is included in the range, but the value y = -1 is not. (That's what the open circle means.)

Hence, the range is ...

  (-∞, -2] ∪ (-1, ∞)

Answer:

1: It places them in an order sequentially relative to each other.

2: Number lines show the location of a number relative to each other on a one dimensional plane, and a coordinate plane does the same on two axis, or a two dimensional plane.

3: The order of the numbers do matter because the first one is the x coordinate and the second is the y. We nee a point of reference so we aren't able to make it so a single point can be represented by multiple ordered pairs, and vice versa so we can accurately share the information without additional interpretation.

4: (4.75, 2.25) Because to move across the x axis is to move in a direction perpendicular to it, meaning only the y coordinate will change. To be mirrored, it has to be copied and the absolute value of y (from both the x and y axis) must be maintained, just moved into the quadrant above or below it.

5: It is 7 units because the original coordinate would be 3.5 (as explained previously), and to move all the way to -3.5 you would need to cover the first 3.5 units to get to y=0, and then another 3.5 units down to get to y=-3.5. This is a total of 7 units moved.

Step-by-step explanation:

Answer:

52

Step-by-step explanation:

When you multiply \(20\frac{4}{5}\) by \(2\frac{1}{2}\) is 52.

189cm²

Step-by-step explanation:

area is multiplication so it will be L×B

also because its a rectangle

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)