If 3^2x1 = 3^x+5, what is the value of X?

write the slope- intercep form of the equation of the line through tje given point perpendicular to tje the given line. (point):

Sergeeva-Olga [200]

Perpendicular lines have gradients that multiply to give -1
So, the gradient of the line we need is -1/0.2 = -5
If we have the gradient and a point in the line, we can work out the equation using the formula:
y - y1 = m(x - x1)
where m = gradient, y1 = y-coordinate and x1 = x-coordinate of the same point
So, we substitute in our values, and we get:
y - -8 = -5(x - -7)
y+8 = -5x-35
y = -5x-43

Hope I helped! xx

3 0

3 years ago

Three consecutive integers have a sum of 246. what are the three integers?

salantis [7]

The numbers you are looking for are 81, 82, 83. Hope this helps! Please mark Brainliest. Thank you v much! :)

4 0

4 years ago

Drag the tiles to the correct boxes to complete the pairs.

GuDViN [60]

Probability that Kevin has diabetes = 0.75, probability that test correctly sees this = 0.85, probability of both = 0.75*0.85 = 0.6375.
Probability that test doesn't see Kevin's diabetes = 0.75*0.15 = 0.1125
Probability that Kevin doesn't have diabetes = 0.25, probability that test correctly sees this = 0.85, probability of both = 0.25*0.85 = 0.2125
Probability that test mistakenly thinks Kevin has diabetes = 0.25*0.15 = 0.0375
In summary: 0.0375 - 4th choice0.6375 - 1st choice
0.1125 - 2nd choice
0.2125 - 3rd choice

3 0

3 years ago

A company that manufactures storage bins for grains made a drawing of a silo. The silo has a conical base, as shown below:

77julia77 [94]

Answer: π (2ft)² ( 8ft) + 1/3 π (2ft)² (9.5ft-8ft)

Step-by-step explanation:

Hi, to answer this question we have to calculate the volume of the circular prism and the cone that forms the silo.

Volume of the circular prism (p) = area of the circular base x height of the prism.

Area of the circular base= π r^2

Since:

Diameter= 2 radius

4 = 2r

4/2 = r

r= 2

Back with the area:

Area of the circular base= π 2^2

Back with the volume formula:

p = area of the circular base x height of the prism.

p = π 2^2 x 8

Next, we have to calculate the volume of the cone (c)=

Volume of a cone = 1/3 π r²h

The radius of the cone is the same as the radius of the cylinder, and the height of the cone is equal to the total height of the silo minus the height of the cylinder part.

c = 1/3 π 2² (9.5-8)

Adding both volumes (cylinder and cone) we obtain the volume of the silo:

Volume of the silo: π 2² x 8 + 1/3 π 2² (9.5-8)

V = π (2ft)² ( 8ft) + 1/3 π (2ft)² (9.5ft-8ft)

8 0

3 years ago

Two cars enter the Delaware turnpike at shoreline drive at 8 am, each heading for ocean city. One cars average speed is 10 mph f

lana [24]

Average speed of slower car = 60 mph

Average speed of faster car = 70 mph

Solution:

Given that Two cars enter the Delaware turnpike at shoreline drive at 8 am, each heading for ocean city

Given that One cars average speed is 10 mph faster than the other

Let "x" be the average speed of slower car

Then x + 10 is the average speed of faster car

The faster car arrives at ocean city at 11 am, a half hour before the slower car

Time taken by faster car:

The faster car arrives at ocean city at 11 am but given that they start at 8 a.m

So time taken by faster car = 11 am - 8am = 3 hours

Time taken by slower car:

The faster car arrives at ocean city at 11 am, a half hour before the slower car

So slower car takes half an hour more than faster car

Time taken by slower car = 3 hour + half an hour = $3\frac{1}{2} \text{ hour}$

Now the distance between Delaware turnpike at shoreline drive and ocean city will be same for both cars

Let us equate the distance and find value of "x"

The distance is given by formula:

$distance = speed \times time$

Distance covered by faster car:

$distance = (x + 10) \times 3 = 3x + 30$

Distance covered by slower car:

$distance = x \times 3\frac{1}{2} = x \times \frac{7}{2} = 3.5x$

Equating both the distance,

3x + 30 = 3.5x

3x - 3.5x = -30

-0.5x = -30

x = 60

Thus average speed of slower car = 60 mph

Average speed of faster car = x + 10 = 60 + 10 = 70 mph

8 0

3 years ago