MATHEMATICS HIGH SCHOOL

Which sequence is geometric and has 1/4 as its fifth term and 1/2 as the common ratio?…, 1, 1/2, 1/4, 1/8, …

…, 1/4, 1/2, 1, 2,…

…, 1/72, 1/36,1/18, 1/9, …

…, 8, 4, 2, 1, …

Answers

Answer 1
Answer: the answer is 0.5. Because you have to half 1

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A car traveling at a constant speed for 150km in 7200s, what is its speed?

Answers

75 km/hr, so  in other words 75 km per hour.

7200 s / 60 = 120 min
120 min / 60 =2 hr
so 150 km / 2 hr = 75 km per hour.Hope i helped :)

A system of equations is shown below:y = 3x − 7
y = 2x + 1

What is the solution to the system of equations?
(8, 17) (−8, 17) (−8, −17) (8, −17)
x

Answers

Hi Brainiac


y=3x-7

y=2x+1

We need to solve y=3x-7 for y

Now let's start by substitute 3x-7 for y in y=2x+1

y=2x+1

3x-7=2x=1

Now add -2x

3x-7-2x=2x+1-2x

x-7=1

Add 7

x-7+7=1+7

x=8

Our last step is to substitute 8 for x in y=3x-7

y=3x-7

y=(3)(8)-7

y= 24-7

y= 17

Answer : A


I hope that's help:)

Answer: The answer is A

I took the test and got it right.

angle 1 and 2 are a linear pair m angle 1 =x-16 and m angle 2 = x +98 find th measurement of each angle

Answers

2 angles are a linear pair if they add up to 180 degrees.
so {angle 1+ angle 2=180°}
{(x-16)+(x+98)=180°}
{2X+82=180}
{2x=180-82}
{2x=98}
{x=98/2}
x=49
Now substitute x into the angles
angle 1= 49-16
angle 1=33°

angle 2= 49+98
angle 2=147°

check your answer
is 33+147=180?
Yes.

4 (a2+b+c) a=-3 b=9 c=4

Answers

First, you should substitute a, b, and c with -3, 9, and 4, so you get 4(-3(2)+9+4)

Next, following PEMDAS, you solve everything in the (,), leaving you with 4(7).

Lastly, your answer is 28.

if a right circular cone has a volume of 15 cubic ft and a radius of 3 ft, what is the height of the cone?

Answers

volume of cone=1/3 times height times pir^2
v=15
r=3
15=1/3 hpi3^2
15=1/3hpi9
15=9/3hpi
15=3hpi
divide 3
5=hpi
h=5/pi
pi=aprox 3.14
5/3.14=1.59

1.59 ft

Consider the following system of equations: y = −x + 2
y = 3x + 1

Which description best describes the solution to the system of equations?

Line y = −x + 2 intersects line y = 3x + 1.
Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
Lines y = −x + 2 and y = 3x + 1 intersect the y-axis.
Line y = −x + 2 intersects the origin.

Answers

Answer:    

The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

Step-by-step explanation:

The first equation is given to be :

y = -x + 2

x       0         2

y       2         0

The second equation is :

y = 3x + 1

x       0        -1/3

y       1         0

Now, The graphs of both the equation are attached below :

So, By seeing the graph, We can observe :

  • Line y = −x + 2 intersects line y = 3x + 1.
  • Lines y = −x + 2 and y = 3x + 1 intersect the x-axis.
  • Lines y = −x + 2 and y = 3x + 1 intersect the y-axis

But the description that best describes the solution to the system of equations is : Line y = −x + 2 intersects line y = 3x + 1.

Hence, The correct option is A. Line y = −x + 2 intersects line y = 3x + 1.

y = -x + 2
y = 3x + 1

  -x + 2 = 3x + 1
+ x         + x
          2 = 4x + 1
        - 1         - 1
          1 = 4x
          4     4
         ¹/₄ = x

y = 3x + 1
y = 3(¹/₄) + 1
y = ³/₄ + 1
y = 1³/₄
(x, y) = (¹/₄, 1³/₄)

The answer is A.
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Need help please!!!!!!!