I need help solving this problem.

Using linear functions, it is found that:

A linear function is modeled by:

[tex]y = mx + b[/tex]

In which:

Paisley is 315 miles away from the stadium, and driving at a speed of 42 miles per hour, hence for the linear equation for his distance after t hours, we have that:

m = -42, b = 315, then:
P(t) = 315 - 42t.

Damian is 383 miles away from the stadium, and driving at a speed of 59 miles per hour, hence for the linear equation for his distance after t hours, we have that:

m = -59, b = 383, then:

D(t) = 383 - 59t.

After 5 hours, their distances are:

P(5) = 315 - 42(5) = 105

D(5) = 383 - 59(5) = 88

D(5) < P(G), hence Damian is closer to the stadium 5 hours after noon.

More can be learned about linear functions at https://brainly.com/question/24808124

Step-by-step explanation:

210

.................

Yes they are ;

SUT angle = WUV angle

&

[tex] \frac{SU}{WU} = \frac{TU}{VU} = \frac{ST}{VW} \\ [/tex]

Answer:

12 m

Step-by-step explanation:

If 1 m = 3.3 feet, then,

1 feet = 1/3.3 m

So,

39.6 feet

= 39.6/3.3

Multiplying by 10....

= 396/33

= 12 m

Hope it helps ⚜

Answer:

y = 2x

the formula for linear equations are y = mx+c,

where m is the gradient,

and c is the y-intercept

to find m (the gradient):

1. pick to points on the graph (eg. -2,-4 and 2,4)

2 substitute the values into the formula for gradient y2-y1/x2-x1.

m = y2-y1/x1-x2

= -4 -4/-2-2

= -8/-4

= 2

to find c (y-intercept):

- the y-intercept is where the graph cuts the y axis

- in this graph, the y-intercept is 0

hence,

c = 0

substitute m = 2 and c = 0 to y = mx+c,

y = 2x + 0

y = 2x

hence, the equation that best represents the relationship shown in the graph is y = 2x.

Answer:

x = 37

Step-by-step explanation:

74 and 2x are vertical angles so they are equal.

74 = 2x

x = 37

Answer:

41

Step-by-step explanation:

divide by 4

Answer:

15/5= 3

Blue Squares: 3*2= 6

Green Squares: 3*3= 9

Answer:

See below.

Step-by-step explanation:

(4x^2-3x^3)+(2x^2+4x^3)

6x^2-x^3

(-8x^2-2x+7)+(x^2-3x+2)

-7x^2-5x+9

-hope it helps

Answer:

x = 25

Step-by-step explanation:

Use Pythagoras' Theorem [tex]a^s+b^2=c^2[/tex]

where a and b are the legs and c is the hypotenuse of a right triangle

[tex]\implies 7^2+24^2=x^2[/tex]

[tex]\implies 49+576=x^2[/tex]

[tex]\implies 625=x^2[/tex]

[tex]\implies x=\sqrt{625}[/tex]

[tex]\implies x=\pm25[/tex]

[tex]\implies x = 25[/tex] only, as distance is positive

Use Pythagorean theorem

[tex]\\ \rm\longmapsto x^2=24^2+7^2[/tex]

[tex]\\ \rm\longmapsto x^2=576+49[/tex]

[tex]\\ \rm\longmapsto x^2=625[/tex]

[tex]\\ \rm\longmapsto x=25[/tex]

Answer:

60%

Step-by-step explanation:

% = Used Pool ÷ Total × 100

= 315 ÷ 525 × 100

=60%

Answer:

60 percent

Step-by-step explanation:

Answer:

The circle has an area of about 1385 square mm.

Step-by-step explanation:

Let's recall that circles have an area that can be found with the following formula:

[tex]A=\pi r^{2}[/tex]

where r is the radius of the circle.

Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.

[tex]A=\pi (21)^2\\A=441\pi \\A=1385.44236...[/tex]

So, to the nearest whole number, the area of the circle is 1385 square mm.

Answer:

f(0)=2

Step-by-step explanation:

f(x)=-3x +2

f(0)=-3(0) +2

f(0)= 0 +2

f(0)=2

Answer:

65 + .70(20)= 79 dollars

Step-by-step explanation:

65+0.70miles = Fee

this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same

please mark brainliest if u can i need 5 more :)

Answer:

18

Step-by-step explanation:

divide 22.50 by 1.25 to get the number of rides.

Answer:

Ratio of circumferences: [tex]\displaystyle\frac{1}{4}[/tex]

Ratio of radii: [tex]\displaystyle\frac{1}{4}[/tex]

Ratio of areas: [tex]\displaystyle\frac{1}{16}[/tex]

Step-by-step explanation:

Hi there!

We are given:

- The circumference of Circle K is [tex]\pi[/tex]

- The circumference of Circle L is [tex]4\pi[/tex]

Therefore, the ratio of their circumferences would be:

[tex]\displaystyle\frac{\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified

The formula for circumference is [tex]C=2\pi r[/tex], where r is the radius. To find the ratio of the circles' radii, we must identify their radii through their given circumferences.

If the circumference of Circle K is [tex]\pi[/tex], or [tex]1\pi[/tex], then its radius is [tex]\displaystyle\frac{1}{2}[/tex].

If the circumference of Circle L is [tex]4\pi[/tex], then its radius is [tex]\displaystyle\frac{4}{2}[/tex], which is 2.

Therefore the ratio their radii would be:

[tex]\displaystyle\frac{\frac{1}{2}}{{2}}[/tex] ⇒ [tex]\displaystyle\frac{1}{2}*\frac{1}{2}[/tex] ⇒ [tex]\displaystyle\frac{1}{4}[/tex] when simplified

The formula for area is:

[tex]A=\pi r^2[/tex]

First, let's find the area of Circle K:

[tex]A=\pi (\displaystyle\frac{1}{2})^2\\\\A=\displaystyle\frac{1}{4}\pi[/tex]

Now, let's find the area of Circle L:

[tex]A=\pi (2)^2\\A = 4\pi[/tex]

Therefore, the ratio of their areas would be:

[tex]\displaystyle\frac{\frac{1}{4}\pi}{4\pi}[/tex] ⇒ [tex]\displaystyle\frac{\frac{1}{4}}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{4} * \frac{1}{4}[/tex] ⇒ [tex]\displaystyle\frac{1}{16}[/tex] when simplified

I hope this helps!

Answer:

a: 3/10 + 3/10 =6/10

b: 3/10 + 4/10 = 7/10

c:

Answer:

the first second and last one because you plug in the x and then plug in the y

Answer:

7 unique values can be created.

Answer:

[tex] - 5 + ( - 8) \\ \\ = - 5 - 8 \\ \\ = - 13[/tex]

# be care#

Applying the expression for speed, we found that the time taken for the bucket to hit the bottom of the well is 15 seconds

Given Data

Speed = 2 meters per second

Distance = 30 meters

Time = ??

We know that the expression for the relationship between speed, distance and time is given as

Speed = Distance/Time

substituting we have

2 = 30/t

cross  multiplying

2t = 30

divide both sides by 2

t = 30/2

t = 15 seconds

Answer 15 seconds

Learn more about speed and distance here:

https://brainly.com/question/4931057

Answer:

Step-by-step explanation:

4x^2 -3x  for x = -4

4(-4)^2 - 3(-4)

4 (16) - (-12)

64 + 12

76

Hope this helps!

Answer:

76

Step-by-step explanation:

It is easier to do x square first which gives you 16

Then do 16 times 4 which is 64

Then do x times -3 which is -12

Then do the sum 64-(-12)

which gives you the answer of 76

Hope This Helps

Answer:

r=10

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]3r = 30 \\ \frac{3r}{3} = \frac{30}{3} \\ r = 10 \\ [/tex]

Answer:

[tex]602.8cm^{3}[/tex]

Step-by-step explanation:

Volume of cylinder = π [tex]r^{2}h[/tex]

Here, [tex]r=4cm\\ h=12cm[/tex]

Volume = π × [tex]4^{2}[/tex] × [tex]12[/tex]

[tex]=602.8cm^{3}[/tex] (converted to 1 decimal place)

Answer:

x - 6 = 0

Step-by-step explanation:

x - 6 = ?

If x = 6, then

6 - 6 = 0

Let's write the equation in standard from

[tex]y = mx + b[/tex]

Where,

[tex] \boxed{ \sf \: m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}}}[/tex]

[tex] \tt \: m = \frac{13 - 12}{1 - 0} [/tex]

[tex] \tt \: m = \frac{1}{1} [/tex]

[tex] \tt \: m = 1[/tex]

[tex] \sf \: y = 1x + 12[/tex]

Solution:

Step-1: Create a coordinate plane.

Step-2: Plot the points on the graph.

Step-3: Choose any two points on the graph.

Step-4: Find the slope of the line by using y₂ - y₁/x₂ - x₁.

Step-5: Find the y-intercept.

Step-6: Revise the equation created.

Hoped this helped!