Two dogs are running in a fenced park. One dog is following a path that can be modeled by the equation y=4. Another dog is following a path that can be modeled by the equation y=-x^2 +3. Well the dogs paths cross? Explain your answer.

Answer:

a = 10

d = 5

Step-by-step explanation:

[tex]a_{n}=a + (n-1)d\\\\a_{5}=30\\\\a + (5-1)*d=30\\\\[/tex]

a + 4d = 30 ------------------(I)

[tex]a_{13}=70\\\\a + (13-1)d=70[/tex]

a + 12d =70 -------------(II)

Multiply equation (II) by (-1) and then add.So, 'a' will be eliminated and you can find the value of d

(I)         a +   4d = 30

(II)*(-1)   -a - 12d = -70   {Now add}

               - 8d   =  - 40

Divide both sides by (-8)

d = -40/-8

d = 5

Plugin d = 5 in equation (I)

a + 4*5 = 30

a + 20 = 30

a = 30 - 20

a = 10

Answer:

Step-by-step explanation:

Let the number be 'x'

20% * x = 28

[tex]\dfrac{20}{100}*x = 28\\\\\\\dfrac{1}{5}*x=28\\\\\\x=28*5\\\\x = 140[/tex]

[tex]\dfrac{45}{100}*140=9*7=63[/tex]

45% of 140 = 63

2)

[tex]\dfrac{7}{100}*y=9\\\\y=9*\dfrac{100}{7}=\dfrac{900}{7}=128.57[/tex]

[tex]\dfrac{70}{100}*128.57= 90[/tex]

Answer:

Ano po to?

hshshshshshshh

Answer:

large area: small area = 100:25 = 4:1

Step-by-step explanation:

Mid-Segment of a triangle is always parallel to the third side, and the length of the midsegment is half the length of the third side.

(x₁,y₁) (x₂,y₂) (x₃,y₃): A(-10,30), B(30,50, C(-40,20)

XY = 1/2 AC , YZ = 1/2 AB , ZX = 1/2 BC

X (10,40) , Y (-5,35) , Z (-25,25) : X(x'₁,y'₁), Y(x'₂,y'₂), Z(x'₃,y'₃)

area of triangle by 3 vertices: (x₁,y₁) (x₂,y₂) (x₃,y₃) is

a = abs[x₁(y₂-y₃)+x₂(y₃-y₁)+x₃(y₁-y₂)] / 2  ... this is just a common formula for any triangle

a = abs(-10*30 + 30*-10 + -40*-20) / 2 = 100

a' = abs(10*10 + -5*-15 + -25*5) / 2 = 25

a/a' = 100/25 = 4/1

Answer:

Square lot and 187500

Step-by-step explanation:

To find question number A, we can calculate the area of each lot. The square plot is:

2/5×2/5=4/25

The first one is

2/3×3/8=1/4

Then we can make both have the same denominator:

1/4=25/100, 4/25=16/100

That means that the square lot is bigger.

We know that the area is 1/4 square mile. So it's 1/4 of 750,000

That's

1/4×750000=187500

Hope that helps! :)

The time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.

The minimum number of days taken by the tractor when working 8 hours a day is 11 days.

The area is the total surface occupied within the boundary of the figure.

In the question, we are given that a tractor can plant a field at a rate of 2.5 acres per 5 minutes.

We are asked the time taken by the tractor to plant a field having an area of 4 square miles.

First, we convert the area of the field from sq. miles to acres using the conversion rate, 1 square mile = 640 acres,

Thus, the area of the field = 4 sq. miles = 4*640 acres = 2560 acres.

Time taken to plant 2.5 acres is given to be 5 minutes.

Thus, the time taken to plan 1 acre = 5/2.5 = 2 minutes.

Thus, the time taken to plant the field having an area of 2560 acres = 2560*2 minutes = 5120 minutes = 85.33 hours =  85 hours and 20 minutes.

Thus, the time taken by the tractor to plant the field with an area of 4 square miles is nearly 85 hours.

The time for which the tractor can run daily is 8 hours.

Thus, the number of days taken by the tractor to plant the field = 85.33/8 = 10.66625, or 11 days.

Thus, the minimum number of days taken by the tractor when working 8 hours a day is 11 days.

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Answer:

7/8 ÷ 2/8 = 3 1/2

Step-by-step explanation:

When we divide two fractions, such as 7/8 ÷ 2/8, we flip the second fraction and then we simply multiply the numerators with each other and the denominator with each other.

The quotient obtained from the division of given fractions is 7/2.

Given that, 7/8 divided by 2/8.

Dividing fractions is nothing but multiplying the fractions by reversing one of the two fraction numbers or by writing the reciprocal of one of the fractions. By reciprocal we mean, that if a fraction is given as a/b, then the reciprocal of it will b/a.

Here, 7/8 ÷ 2/8

= 7/8 × 8/2

= 7/2

Therefore, the quotient obtained from the division of given fractions is 7/2.

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Answer:

3.785 litres

Step-by-step explanation:

Answer:

x = 14/p.

There can really be 2 answers that are both proportional and rational.

7 packages, 2 toys in each.

2 packages, 7 toys in each.

Answer:

2/7

Step-by-step explanation:

6 large fish and 8 small fish (half of the them are red = 4)

total fish 6 + 8 = 14 fishes

probability that one fish is one small and red fish is

there are 4 small and red fish

= 4c1 / 14c1

= (4! / (1! (4 - 1)! )  /  (14! / (1! (14-1)! )

= 4/14

= 2/7

Answer:

CD = 30.43; LK = 14.08

Step-by-step explanation:

Problem 12.

Let's first find BD. Triangle ADB is a right triangle with hypotenuse AB. By definition of sine ( or by theorem, they're equivalent) [tex]{BD \over 20} = sin 54.[/tex], hence BD= 16.18. Jump on the other side now. Triangle BDC is a right triangle with sides BD and CD. By definition of tangent [tex] {{16.18} \over CD} = tan 28 [/tex], thus CD= 30.43.

Problem 13

Assuming the 72° is angle JLK

As usual, triangle MJL is a right triangle with sides MJ and LJ. By definition of tangent [tex] {{JL} \over 14} = tan 51 [/tex]. Follows that JL = 14.81. Now, similarly, trinagle JLK is a right triangle, with hypotenuse JL. From the definition of sine, as before,[tex]{KL \over 14.81} = sin 72.[/tex]. Solving for the only unknown value, you find LK = 14.08.

Please double check the calculations and feel free to add more digits if required

Answer:

x=12

Step-by-step explanation:

Since the base angles are the same, SV and TV must be the same length

2x+6 = 3x-6

Subtract 2x from each side

2x+6-2x = 3x-6-2x

6 = x-6

Add 6 to each side

6+6 = x-6+6

12=x

[tex]\\ \sf\longmapsto 2x+6=3x-6[/tex]

[tex]\\ \sf\longmapsto 3x-2x=6+6[/tex]

[tex]\\ \sf\longmapsto (3-2)x=12[/tex]

[tex]\\ \sf\longmapsto x=12[/tex]

Angle A and B are shown to be the same which means the 2 sides are the same. Using the 2 sides solve for x.

2x -24 = x-2

Add 24 to both sides

2x = x + 22

Subtract x from both sides:

X = 22

Bc = x , so BC = 22

Answer:

Please post the chart

Step-by-step explanation:

Answer:

angle f ≈ angle m

Answer:

∠F=∠M

Step-by-step explanation:

They are corresponding angles.

Hope this helps!

Answer:

17

Step-by-step explanation:

[tex]60+2x=94 \\ \\ 2x=34 \\ \\ x=17[/tex]

Answer:

I think it is 24 cus it's more bigger and cooler and hotter and shorter and butter

Answer: To get to your final sum you will have to calculate the sum of both items: the sandwiches and the chips. Then you will get the total sum of all what they spend.

Step 1:

Sum of  one sandwich= 4.60 dollar

sum of 47 sandwiches= 47×4.60 =216.2dollars

Step 2:

Sum of one chip=1.25 dollar

sum of 39 bags of chips=39×1.25= 48.75dollars

step 3: sum up the sum of sandwiches and that of the chips

216.2 + 48.75 =264.95dollars

Answer: The best definition is the third option. Hope this helps! Brainliest?

The slope intercept formula y= mx+b .

y= mx+b

We  already know the slope which is -3 and plugin 4 for x and 3 for y. Here we are trying to find the y-intercept which is b.  

3=  -3(4)+b

3=  -12+b

+12        +12

  15        =      b

Here  is how it is written in slope- intercept form:

y= -3x+15

Answer:

n=-4

Step-by-step explanation:

-2(n+1)=6

-2n-2=6

-2n=8

n=-4

Answer:

X < 1

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

6x<5x+1

2(3x)<2(2.5x)+1

5x+1>3x*2

x<1

Is there any specific choices?

Answer:

The answer is C

Step-by-step explanation:

25^2 = 625

20^2 = 400

625+400 = 1025

sqrt(1025) is the answer

Answer:

8000 (Estimated) and the real difference would be 7934

Step-by-step explanation:

An estimated difference would be 8000, we get this number by subtracting 23,000 from 31,000 to make the subtraction much faster. The real answer to this would be 7934 which is pretty close to 8000 which is the estimation

Answer:

A) no solution

Step-by-step explanation:

These lines are parallel. Which means that they will never intersect, and since the solution to a system of equations is the point or points of intersection, this means there would be no solution to this system.

Step-by-step explanation:

The answer is -0.216m^9n^6

The 9 N and the 6 are exponents

The given monomial in standard from as [tex]-0.216m^927n^6[/tex].

The given monomial is (-0.6m³3n²)³.

Monomial is defined as an expression that has a single non-zero term. It consists of different parts like the variable, the coefficient, and its degree. The variables in a monomial are the letters present in it. The coefficients are the numbers that are multiplied by the variables of the monomial.

The given monomial can be solved as follows:

Using power law of exponent [tex](a^m)^n=a^{mn}[/tex], we get

(-0.6m³3n²)³

= [tex]-0.216m^927n^6[/tex]

Therefore, the given monomial in standard from as [tex]-0.216m^927n^6[/tex].

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Answer:

2.7

Step-by-step explanation:

The answer to the question is 2.7