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3 years ago

Will give brainlyest

Mathematics

2 answers:

nalin [4]3 years ago

8 0

Answer:

10 hours

Step-by-step explanation:

We already have the equation, which is y = 30x + 20. Simply substitute 320 for y, and solve for x.

320 = 30x + 20

<em>First, subtract 20 from both sides.</em>

320 - 20 = 30x

300 = 30x

<em>Now divide both sides by 30.</em>

300/30 = x

10 = x

It will take about 10 hours for Robin to travel 320 miles.

Marizza181 [45]3 years ago

3 0

Answer:

10 hours

Step-by-step explanation:

320 = 30x + 20

300 = 30x

x = 10

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A line intersects the points (-14,-10) and (7,5). find the slope of the line and simplify

Tpy6a [65]

The slope of any line can be calculated using the following rule:
slope = (y2-y1) / (x2-x1)

The given points are (-14,-10) and (7,5), therefore:
y2 = 5
y1 = -10
x2 = 7
x1 = -14

Substitute with these values to get the value of the slope as follows:
slope = (5--10) / (7--14) = 5/7

5 0

3 years ago

The population of bobcats in northern Arizona since 2008 can be modeled using the function b(t) = –0.32t2 + 2.7t + 253. What doe

Vesna [10]

Answer:

See below.

Step-by-step explanation:

t represents time (probably years).

The population of bobcats can't be negative, so negative values in the range do not make sense.

The function is continuous, but you're probably only looking at discrete values.

6 0

3 years ago

Is the given point interior , exterior, or on the circle k (x+2)2 + (y-3)2 =18 P (8,4)

Mnenie [13.5K]

One way would be to find the distance from the point to the center of the circle and compare it to the radius

for
$(x-h)^2+(y-k)^2=r^2$
the center is (h,k) and the radius is r

and the distance formula is
distance between $(x_1,y_1)$ and $(x_2,y_2)$ is
$D=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}$

r=radius
D=distance form (8,4) to center

if r>D, then (8,4) is inside the circle
if r=D, then (8,4) is on the circle
if r<D, then (8,4) is outside the circle

so
$(x+2)^2+(y-3)^2=18$
$(x-(-2))^2+(y-3)^2=(\sqrt{18})^2$
$(x-(-2))^2+(y-3)^2=(3\sqrt{2})^2$

the radius is $3\sqrt{2}$
center is (-2,3)

find distance between (8,4) and (-2,3)

$D=\sqrt{(8-(-2))^2+(4-3)^2}$
$D=\sqrt{(8+2)^2+(1)^2}$
$D=\sqrt{10^2+1}$
$D=\sqrt{100+1}$
$D=\sqrt{101}$

$r=3\sqrt{2}$ ≈4.2
$D=\sqrt{101}$ ≈10.04

do r<D

(8,4) is outside the circle

6 0

3 years ago

I need help with this, please

ANTONII [103]

Answer:

c, 85°

Step-by-step explanation:

95° + xz = 180° then

x = 180 ° - 95° = 85°

6 0

3 years ago

Chicken eggs can be categorized as large if they weigh at least 2 ounces. Clare weighs 48 large eggs and finds that they have a

34kurt

Answer: The average difference of weights of all 48 eggs from mean eight is 0.08.

Step-by-step explanation:

The mean absolute deviation of a data interprets the mean distance between each data point and the mean.

When this distance goes larger it means data has greater variability

Given, 48 large eggs have a mean weight of 2.1 ounces and a mean absolute deviation of 0.08 ounces.

It means that the average difference of weights of all 48 eggs from mean eight is 0.08.

8 0

3 years ago