Point slope form of (2,4) and (3,1)

Answer:

Step-by-step explanation:

lets say in the shown triangle x=165

so speed [tex]\frac{dx}{dt} =25[/tex]

and  [tex]\frac{dy}{dt} =35[/tex]

Also since distance = speed* time

time = pi minutes = pi/60 seconds

y = [tex]\frac{35\pi \pi }{60}[/tex]

y = [tex]\frac{7\pi }{12}[/tex]

Now using the pythagorean :

[tex]x^2+y^2=z^2\\so \\165^2+(\frac{7\pi }{12} )^2 =z^2[/tex]

derivate the equation so  we get :

[tex]x\frac{dx}{dt} +y\frac{dy}{dt} =z\frac{dz}{dt} \\[/tex][tex]165*25+35*\frac{7\pi }{12}=\sqrt{165^2+(\frac{7\pi }{12})^2} *\frac{dz}{dt}[/tex]

[tex]\frac{dz}{dt} =25.387[/tex] m/s

So Rate of change = 25.387 m/s

Answer:

SSS - This means side side side. You must have 3 congruent sides in both triangles to prove them congruent.

SAS - This means side angle side. You must have 2 sides and an included angle in both triangles to prove them congruent.

ASA - This means angle side angle. You must have 2 angles and an included side in both triangles to prove them congruent.

AAS - This means angle angle side. You must have 2 angles and a side in both triangles to prove them congruent.

NOTE: included basically means in between.

Answer:

[tex]-135\degree=-\frac{3}{4}\pi\: radians.[/tex]

Step-by-step explanation:

This question demands that we convert from a degree measure to a radian measure.

To convert from a degree measure to radians, multiply by [tex]\frac{\pi}{180\degree}[/tex].

That is [tex]-135\degree=-135\degree \times \frac{\pi}{180\degree}[/tex].

This can be simplified by canceling out the common factors to get,

[tex]-135\degree=-3\times45\degree \times \frac{\pi}{4\times 45\degree}[/tex].

This will give us,

[tex]-135\degree=-\frac{3}{4}\pi\: radians.[/tex]

Answer:

- 3pi over 4

Step-by-step explanation:

Answer:

The answer is $3277.48

Step-by-step explanation:

An Annual Percentage Rate or APR is calculated by taking into account the interest rate on a credit card (or another borrowed sum) and any other charges such as an annual fee or arrangement fee.

So the first step here is to calculate the 3.5% cash advance fee on cash advance of $2790.00.

$2790.00 × 3.5%

2790 × (3.5 ÷ 100)

2790 × 0.035

$97.65

Now APR is calculated on the sum of cash advance and cash advance fee, i.e.,

13.5% × (2790 + 97.65)

13.5% × 2887.65

( 13.5 ÷ 100 ) × 2887.65

0.135 × 2887.65

$389.83

The total amount due at the end of the month is sum of Cash advance, Cash advance fee and APR

$2790 + $97.65 +$389.83 = $3277.48

3.277.48

this a a short answear

To solve for the number of zeros in the product of (6x5) x 10³, one should first multiply the whole numbers (6x5) to get 30. Then, append as many zeros as the power of 10, which in this case is 3. So, we append three 0's to 30 which yields 30000. This gives us four zeros in total.

The problem (6x5) x 10³ refers to a multiplication involving whole numbers and a power of ten. Our task is to find out how many zeros will be in the resulting product.

Step 1: Multiply the whole numbers. 6x5 equals 30.

Step 2: When multiplying by a power of ten, you add as many zeros to the end of the number as there are in the exponent of ten. So, in this case, as it is power of ten to the power of 3 (10³), we would add three 0's.

Final result: 30000.

So, the product (6x5) x 10³ will have four zeros.

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Answer: The answer is 12 days

Step-by-step explanation: miles total=miles per day times number of days

3000=250 times days

divide both sides by 250

12=days

Answer:

The answer would be A.) 21 gallons.

Step-by-step explanation:

1.) The first thing you need to do is see how many miles per gallon the van is using by doing 168/14= 12.

2.) Then, you would apply this to the amount need to travel by doing 252/12= 21, meaning the answer is in fact A.) 21 gallons.

To find out how many gallons of gas a van would need to travel 252 miles, given that it travels 168 miles on 14 gallons, you can use a simple ratio and proportion calculation. This yields that the van would need 21 gallons to travel 252 miles.

The subject here is the mileage of a van, which is a problem of ratio and proportion. Given that the van travels 168 miles on 14 gallons of gas, we can find out how much it would need to travel 252 miles. We set up the proportion as follows:

168 miles / 14 gallons = 252 miles / X gallons

To find X (the unknown), we cross multiply:

168 * X = 252 * 14

After solving this equation, we find that X equals 21. Therefore, the van would need 21 gallons to travel 252 miles.

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Answer:

D

Step-by-step explanation:

B,C don't have enough candles and a cost too much.

Answer:

D. (18,11)

Step-by-step explanation:

The last option is the one that makes the most sense for Jose. Jose needs to buy small and large candles. Small candles are $3 while large candles are $5. His budget is $120 and he needs at least 25 candles. If Jose picks option D, he would be able to buy:

18 small candles = 54

11 large candles = 55

Therefore,

18 + 11 = 29 candles

54+ 55 = $109

Answer:

x = 20

Step-by-step explanation:

To find the midpoint of a segment, add the lengths and divide by 2

If y is the midpoint the 2 parts have to be equal.

XY = YZ

2(3x+1) = 5x+22

Distribute

6x+2 = 5x+22

Subtract 5x from each side

6x-5x +2 = 5x-5x+22

x+2 =22

Subtract 2 from each side

x+2-2=22-2

x=20

Answer:

x=20

Step-by-step explanation:

Have a nice day!!!

Answer: The statement is false because 1.2 is calculating 120% of the cost of pizza. The expression should be .2p.

Step-by-step explanation:

The expression 1.2p correctly represents the total bill for a pizza including a 20% tip, with p representing the price of the pizza. To determine the total cost, you multiply the price by 1.20.

The expression 1.2p does indeed represent the total bill including a 20% tip for the delivery of a pizza where p is the cost of the pizza. When you give a tip of 20%, you are adding 20% of the cost of the pizza to the original price. This is calculated by multiplying the price by 1.20 (which is equivalent to 100% + 20%).

Example Calculation:

If the cost of the pizza is $10 (p = $10), then the total bill with a tip would be 1.2 × $10 = $12. The 20% tip on $10 is $2, so the total bill equals $10 + $2 = $12.

use both points to find the slope

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{-13-3}{9-(-3)}[/tex]

[tex]\frac{-16}{12} =\frac{-4}{3} =slope[/tex]

Now, to find b, plug in one of the points in y=mx+b

3=[tex]\frac{-4}{3}[/tex](-3)+b

3=4+b

b= -1

therefore, your final equation should be,

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

there are 60 minutes in 1 hr.

every 10 minutes the factory makes 15 bears.

so 10+10+10+10+10+10 is 1 hr, and is really 15+15+15+15+15+15 bears, namely 90 per hour.

every day, the factory does that for 8 hours straight, so namely they make 90 * 8 teddy bears, or 720 per day.

let's make a table of bears per day

1 day............................... 720(1)

2 days............................ 720(2)

3 days............................ 720(3)

4 days............................ 720(4)

x days............................ 720(x)

so the amount of bears they make say "A" is per day is A = 720x.

what would be the fewest days to make 5000?

well, whatever 720x is, it has to be either 5000 exactly OR more, not less, then

5000 ⩽ 720x.

and dividing both sides by 720 we get about 6.94 ⩽ x.

so we can conclude that whole days, it'll be 7, since 6.94 is about 7 days, but rounded up to whole days it'll be 7 days.

I don't know if this is the equation you need. But here it is.

Y - 4 = -2 (x + 1)

Answer:

You are correct

Step-by-step explanation:

Start with 1 1/2. This can be made into an improper fraction which is 3/2

Now multiply both top and bottom of 3/2 by 5

(3*5)/(2 * 5) = 15 / 10

16/10 is just slightly bigger than 15/10

The fraction is grather than 1 if the numerator is greater than denominator.

The fraction is less than 1 if the numerator is less than denominator.

The fraction is equal 1 if the numerator is equal the denominator.

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[tex]a.\ \text{greater than 1:}\ \dfrac{4}{3},\ \dfrac{7}{5};\ \dfrac{16}{10}\\\\b.\ \text{less than 1:}\ \dfrac{1}{3};\ \dfrac{12}{15};\ \dfrac{3}{10};\ \dfrac{3}{5}\\\\c.\ \text{equal to 1:}\ \dfrac{3}{3}[/tex]

[tex]\dfrac{16}{10}=\dfrac{10+6}{10}=\dfrac{10}{10}+\dfrac{6}{10}=1+\dfrac{6}{10}=1\dfrac{6}{10}=1\dfrac{6:2}{10:2}=1\dfrac{3}{5}\\\\3\text{ is greater than half of 5.}\ \text{Therefore}\ \dfrac{3}{5}>\dfrac{1}{2}.\\\\\text{Therefore}\ \dfrac{16}{10}>1\dfrac{1}{2}.\\\\OTHER:\\\\\dfrac{16}{10}=1\dfrac{6}{10}\\\\1\dfrac{1}{2}=1\dfrac{1\cdot5}{2\cdot5}=1\dfrac{5}{10}<1\dfrac{6}{10}\\\\OTHER\\\\\dfrac{16}{10}=1\dfrac{6}{10}=1.6\\\\1\dfrac{1}{2}=1.5\\\\1.6>1.5\Rightarrow\dfrac{16}{10}>1\dfrac{1}{2}[/tex]

Answer:

Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Step-by-step explanation:

Let Wanda and Dave catch each other when x be the time after Dave starts walking and y be the distance covered by them

It is given that Wanda started walking along a path 27 seconds before Dave and the constant speed of Wanda is 3 feet per second.

[tex]speed=\frac{distance}{time}[/tex]

[tex]3=\frac{y}{x+27}[/tex]

[tex]y=3(x+27)[/tex]

 [tex]y=3x+81[/tex]                          .... (1)

The constant speed of Dave is 4.5 feet per second.

[tex]4.5=\frac{y}{x}[/tex]

[tex]y=4.5x[/tex]                                .... (2)

Equate equation (1) and (2).

[tex]3x+81=4.5x[/tex]

[tex]81=1.5x[/tex]

Divide both sides by 1.5.

[tex]\frac{81}{1.5}=x[/tex]

[tex]54=x[/tex]

Therefore, Wanda and Dave will catch each other in 54 seconds after Dave starts walking.

Answer:

C = 79, B = 26 degrees

Step-by-step explanation:

tan C = 5.1323

To find C you  use your calculator . Press tan-1 ( or it might be arctan) then the value 5.1323 Then ENTER.

C =  79 degrees to nearest degree.

cos B = 0.8954

B = 26 degrees

The nearest degree, of C =79 degrees

The nearest degree, of B = 26 degrees

tan C = 5.1323

To find C you use your calculator. Press tan-1 ( or it might be arctan) then the value 5.1323 Then

C =  79 degrees to nearest degree.

cos B = 0.8954

B = 26 degrees.

The angle of the trigonometric function is the angle given by the ratio of the trigonometric functions. Trigonometry involves studying the relationship between angles and the sides of a triangle. Angle values ​​range from 0 to 360 degrees. The important angles of trigonometry are 0 °, 30 °, 45 °, 60 °, 90 °, 180 °, 270 °, and 360 °.

The angle at which the vertex is at the origin and one side is on the positive x-axis. Can take positive or negative dimensions and can be larger than 360 °

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Answer:

She gave away 24 cards

Step-by-step explanation:

(36)*([tex]\frac{2}{3}[/tex])=24

Answer:

B

Step-by-step explanation:

For a relationship to be a function

Each value of x in the domain can only have 1 unique value of y in the range. That is, one-to-one correspondence.

The only relation which meets this criteria is B

Answer:

The answer is option B: {(1,3);(-1,5);(2,7);(-2,7);(3,5);(-3,3)}

Step-by-step explanation:

Each element is composed of a first and second point, or by an 'x' and 'y' coordinates, respectively.  In this way, all x coordinate from the set of elements constitute the 'domain', and all y coordinates of the set of elements constitute the 'image'.

So, for a set of elements be a function, each point of the domain have to have one an only one image. In other words, two elements with the same image have to have a distinct x's coordinate.

If we take a look at the set of elements in the different options, we find different elements which repeat image:

1) The pairs (1,0) and (1,-1) in the set of point of option A

2) The pairs (-2,-1) and (-2,-2) in the set of point of option C

3) The pairs (1,3) and (1,3) in the set of point of option  

In the set of elements of B option, all the elements with the same y coordinate have different x's coordinates.

Answer:

The given sequence is neither arithmetic not geometric.

Step-by-step explanation:

A sequence is in arithmetic if it has a common difference.

i.e., a sequence a, b, c is in arithmetic if

b - a = c - b

Let's check if the given sequence is in arithmetic.

[tex]\frac{4}{3} -\frac{4}{9} =\frac{12}{9} -\frac{4}{9}[/tex]

[tex]= \frac{8}{9}[/tex]

[tex]4-\frac{4}{3} =\frac{12-4}{3}[/tex]

[tex]=\frac{8}{3}[/tex]

So, [tex]\frac{4}{3} -\frac{4}{9} \neq 4-\frac{4}{3}[/tex]

Hence, the given sequence is not arithmetic.

Let's check if the given sequence is in geometric.

A sequence is in geometric if it has a common ratio.

i.e., a sequence a, b, c is in geometric if

[tex]\frac{b}{a} =\frac{c}{b}[/tex]

[tex]\frac{4/3}{4/9} =\frac{4}{3} (\frac{9}{4} )[/tex]

= 3

[tex]\frac{4}{4/3} =4(\frac{3}{4} )[/tex]

= 3

Clearly, [tex]\frac{12}{4} =\frac{36}{12} =3[/tex]

But, [tex]\frac{0}{36} =0[/tex]

Therefore, the given sequence is not in geometric.

Hence, the given sequence is neither arithmetic not geometric.

Answer:

x=56 and the exterior angle is 116

Step-by-step explanation:

We will call the unknown angle in the triangle y.  Angle y and the angle (2x +4) form a straight line so they make 180 degrees.

y + 2x+4 =180

Solve for y by subtracting 2x+4 from each side.

y + 2x+4 - (2x+4) =180 - (2x+4)

y = 180-2x-4

y = 176-2x

The three angles of a triangle add to 180 degrees

x+ y+ 60 = 180

x+ (176-2x)+60 = 180

Combine like terms

-x +236=180

Subtract 236 from each side

-x+236-236 = 180-236

-x = -56

Multiply each side by -1

-1*-x = -56*-1

x=56

The exterior angle is 2x+4.  Substitute x=56 into the equation.

2(56)+4

112+4

116

The distributive property: a(b + c) = ab + ac

Answer:

c) -3 · (6.48) = -3 · (6 + 0.4 + 0.08) = (-3 · 6) + (-3 · 0.4) + (-3 · 0.08)

Step-by-step explanation:

The initial room temperature was -20 degrees Celsius.

The temperature in the room decreases by 0.5 degrees Celsius per minute.

After Quinn slept for 60 minutes, the room's temperature became 10 degrees Celsius.

We can calculate the initial room temperature by subtracting the total decrease in temperature from the final temperature:

Initial temperature = Final temperature + (Rate of temperature decrease * Time)

Initial temperature = 10 + (-0.5 * 60) = 10 + (-30) = 10 - 30 = -20 degrees Celsius

Therefore, the initial room temperature was -20 degrees Celsius.

Final answer:

The final temperature of the room after 60 minutes of the air conditioner being on is -20°C.

Explanation:

In this question, we are given the initial temperature of the room and the rate at which the temperature decreases. We are also given the time period for which the air conditioner was on. We need to determine the temperature after the given time period.

Given: Initial temperature = 10°C, Rate of temperature decrease = 0.5°C/min, Time period = 60 min.

To calculate the final temperature, we need to multiply the rate of temperature decrease by the time period and subtract this value from the initial temperature.

Final temperature = Initial temperature - (Rate of temperature decrease * Time period) = 10°C - (0.5°C/min * 60 min) = 10°C - 30°C = -20°C.

[tex]-\dfrac{1}{2}x+4=x+1\qquad\text{multiply both sides by 2}\\\\-x+8=2x+2\qquad\text{subtract 8 from both sides}\\\\-x=2x-6\qquad\text{subtract 2x from both sides}\\\\-3x=-6\qquad\text{divide both sides by (-3)}\\\\\boxed{x=2}[/tex]

Answer: The length of the united states flag is [tex]2\frac{2}{19}\ feet[/tex]

Step-by-step explanation:

Since we have given that

Ratio of width to length of the united states flag is 10:19

So, Let the length of the united states flag be 10x

Let the width of the united states flag is 19x

As we have the width of the flag of Emerson's school = 4 feet.

According to question,

[tex]19x=4\\\\x=\frac{4}{19}[/tex]

So, our length of the united states flag will be

[tex]10x=10\times \frac{4}{19}\\\\=\frac{40}{19}\\\\=2\frac{2}{19}\ feet[/tex]

Hence, the length of the united states flag is [tex]2\frac{2}{19}\ feet[/tex]

Final answer:

To find the length of the flag, you can set up a proportion using the given ratio of width to length. Solve for the unknown length by cross-multiplying and dividing. The length in feet is found by multiplying the width of Emerson's School flag by the ratio and dividing by 10.

Explanation:

To find the length of the United States flag, you can set up a proportion using the given ratio of width to length. The ratio is 10:19, and the width of Emerson's School flag is 4 ft. First, write the proportion using the length as the unknown value: 10/19 = 4/L. To solve for L, cross-multiply and divide: 10L = 4 * 19. Divide both sides by 10 to find the length:

L = (4 * 19) / 10.

Multiply 4 and 19, then divide by 10 to get the length in feet.

L= 7.6

30/2 =15. So 182 times 15 is 2730, or D.

Answer: $58.40 Multiply 4 times 17.59 and add 237 times 0.19

Final answer:

The total cost of renting a car for 4 days at $17.59 per day and driving 237 miles at 19¢ per mile would be $115.39.

Explanation:

To calculate the cost of renting a car for 4 days:
For the rental cost, we multiply the daily rental rate by the number of days:

Rental cost=Number of days × Daily rental rate

Cost of renting the car for 4 days = 4 days x $17.59 per day = $70.36
Next, to find the cost of driving 237 miles, we multiply the distance driven by the cost per mile:

Cost of driving=Distance driven × Cost per mile

Cost of driving 237 miles at 19¢ per mile = 237 miles x $0.19 = $45.03
Total cost = Cost of renting + Cost of driving = $70.36 + $45.03 = $115.39