what are the next 2 terms in the sequence

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:

(65,−16)

Equation Form:

x=65,y=−16

Step-by-step explanation:

Hey there!

The solution to the given system is (0, -10)

To solve using elimination, we have to add the equations together, and the "y"s will cancel out, and then solve the equations:

5x - 10 = 6x - 10

Now solve.

Add "10" to both sides:

5x = 6x

Subtract "5x" from both sides

0 = x

Now, we plug in the solved "x" value in an equation to solve for "y".

5(0) + y = -10

y = -10

We now know that the solution to the given system is (0, -10)

Hope this helps! Have an amazing day, and remember, you've got this!!

Answer:

8:1

Step-by-step explanation:

Do 48/6 to find the ratio

I think its C, cause I said so.

Answer:

[tex]44,826.72\ \text{pounds}[/tex]

Step-by-step explanation:

Given that,

The diameter of a hemispherical tank= 14 feet

Radius, r = 7 feet

water

Water weighs 62.4 pounds per cubic foot.

We need to find the total weight of the water in a full tank to the nearest pound.

The volume of the hemisphere is given by :

[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]

If water weighs 62.4 pounds per cubic foot, it means

[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]

So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].

Answer:

30

Step-by-step explanation:

To find the answer you would need to do 2400 divided by 80 which = 30

Hope this helped :)

Answer:

Y=.5x

Step-by-step explanation:

For every hour you gain half an inch of snow so for every 2 hours you gain one inch of snow. Hope ths helps

Answer:

m = 0

Step-by-step explanation:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]

Hope this helps

Answer:

3 x ^3  −  4 x ^2  −  23 x  +  10

Step-by-step explanation:

hope this helps!

Answer:

Its the First One

Step-by-step explanation:

For every 2 offense cards, he owns 4 defense cards. The first graph is correct.

Brainliest are appreciated :)

Answer:

y=-4+5x

Step-by-step explanation:

To get y by itself you need to move the -10x to the other side, to do that you need to add 10x on both sides

2y-10x+10x=-8+10x

Simplify and you will get 2y=-8+10x

Now divide everything by 2

2y/2=-8/2+10x/2

Simplify and you will get y=-4+5x

Answer:

the answer is b

Step-by-step explanation:

bc they are not both equivalent.

The pair (B) is not equivalent after using the property of logarithm option (B) is correct.

It is another way to represent the power of numbers, and we say that 'b' is the logarithm of 'c' with base 'a' if and only if 'a' to the power 'b' equals 'c'.

[tex]\rm a^b = c\\log_ac =b[/tex]

It is given that:

The expression is given in the options.

As we know, the expression can be defined as the combination of constants and variables with mathematical operators.

It is required to find the equivalent pairs:

A) In(x) = y and [tex]\rm x = e^y[/tex]

As we know from the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

B) [tex]\rm log_p N = b \ and \ b^p = N[/tex]

Again using the log property:

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are not equivalent.

C) [tex]\rm x = \sqrt y \ and \ x = y^{\dfrac{1}{2}}[/tex]

Using the property of exponent we can write the above expression:

The pairs are equivalent.

D) [tex]\rm log_b N = p \ and \ b^p = N[/tex]

logₙm = a

[tex]\rm \rm n^a = m[/tex]

The pairs are equivalent.

Thus. the pair (B) is not equivalent after using the property of logarithm option (B) is correct.

Learn more about the Logarithm here:

brainly.com/question/163125

#SPJ2

Answer:

68

Step-by-step explanation:

Because it's going up 15 every 2 hours so it would go from 50 to about 65 so 68.

Answer:

x=9

Step-by-step explanation:

2x+12=5x-15

3x=27

x=9

Answer:

the value of X in the figure is 0 I think

Answer: A

Step-by-step explanation:

The equation [tex]y=\frac{2}{3}x-1[/tex] is in slope-intercept form([tex]y=mx+b[/tex]).  For a line to be parallel to another, it must have the same slope.  The slope of the line given is 2/3.  Thus, simply plug in 2/3 for the slope to get: [tex]y=\frac{2}{3} x+b[/tex].  Then, because the line passes through -6, 6, plug those values in for x and y, respectively.  [tex]6=\frac{2}{3} *-6+b[/tex]

[tex]6=-4+b[/tex]

[tex]10=b[/tex]

Thus, the equation of the line is [tex]y = \frac{2}{3} x+10[/tex], or A

Hope it helps :D

Answer:

1. -1

2.C

Step-by-step explanation:

Answer:

-1

c

Step-by-step explanation:

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

Answer:

a) 94°

Step-by-step explanation:

shape is a 5-sided polygon, known as a pentagon

number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.

Therefore there are 540° altogether.

add all like terms for all five angles:  24x - 12 = 540

                                                             24x = 552

                                                               x = 23

m∡P = 4(23) = 2

         = 92 + 2

          = 94°

Answer:

30 degrees

Step-by-step explanation:

Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)

Answer:

30

Step-by-step explanation:

Answer:

The distance travel during race is 13 m

Step-by-step explanation:

Answer:

[tex]54[/tex] feet

Step-by-step explanation:

Length of the flower bed [tex]=15[/tex] feet.

Width of the flower bed is [tex]\frac{4}{5}[/tex] the length.

So, width [tex]=\frac{4}{5}\times 15=4\times 3=12[/tex] feet.

To find the length of the fencing, we need to find the perimeter of the flower bed.

Perimeter of a rectangle [tex]=2(\textrm{length} + \textrm{width})[/tex]

So, perimeter of the flower bed [tex]=2(15+12)=2\times 27 = 54[/tex] feet.

Hence, [tex]54[/tex] feet of fencing is required for the flower bed.

Answer:

£120 : £200

Step-by-step explanation:

sum the parts of the ratio, 3 + 5 = 8 parts

Divide the amount by 8 to find the value of one part

£320 ÷ 8 = £40 , then

3 parts = 3 × £40 = £120

5 parts = 5 × £40 = £200

Then £320 in the ratio 3 : 5 is £120 : £200

The division of  £320 in the ratio of 3: 5 is £120: £200.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

Summation = addition of two or more numbers or variable

For example = 2 + 8 + 9

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example = 4 - 8

Division = divide any two numbers or variable called division.

For example 4/8

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 7.

Given the amount of £320

Now,

The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.

So,

320/8 = 40

Now,

Multiply by 3 ⇒ 3 × 40 = 120

Multiply by 5 ⇒ 5 × 40 = 200

So ratio 120/200 = £120: £200.

Hence "The division of  £320 in the ratio of 3: 5 is £120: £200".

To learn more about the arithmetic operators,

brainly.com/question/25834626

#SPJ2

Answer:  .13

Step-by-step explanation:

63/100=0.63

5/10=0.50

=.13

I took 63 and divided it by 100 to get .63 and took 5 and divided it by 10 to get .50 so I took them and subtracted them to get .13

Answer:

5:7

Step-by-step explanation:

Answer:

b) The slope of line is 20

c) The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

d) i) she would have travelled 1480 m after 74 s

ii) It will take 125 s to travel 2.5 km

Step-by-step explanation:

Part b: Slope of Line

Slope of line can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]

From the table we can take any two points and find the slope.

Looking at the graph, the time is x-axis and distance is y-axis

Let we take (0,0) and (8,160)

So, we have: [tex]x_1=0, y_1=0, x_2=8, y_2=160[/tex]

Now finding Slope:

[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{160-0}{8-0} \\Slope=\frac{160}{8}\\Slope=20[/tex]

So, the slope of line is 20

Part c) Find the equation in slope-intercept form

The general equation of slope-intercept form is: [tex]y=mx+b[/tex] where m is slope and b is y-intercept

We have found slope, m = 20

We need to find y-intercept.

y-intercept can be found by putting x-axis (time) equal to zero and check what the y-axis (distance) is:

So, when x =0, y=0

So, y-intercept = 0

The equation will be:

[tex]y=mx+b\\y=20x+0\\y=20x[/tex]

The equation in slope-intercept form is: [tex]\mathbf{y=20x}[/tex]

Part d)

Part i) How far will she have travelled after 74 s

We are given time (x) = 74 s

We need to find distance i.e. y:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Put x = 74

[tex]y=20x\\y=20(74)\\y=1480[/tex]

So, she would have travelled 1480 m after 74 s

Part ii) How long will it take to travel 2.5 km

We are given distance (y) = 2.5 km

We need to find time i.e. x:

Using the equation: [tex]\mathbf{y=20x}[/tex]

Since distance is given in meters but here it is in km

So converting 2.5 km into m

We know that 1 km = 1000m

So, 2.5 km = 2500 m

Now finding time:

[tex]y=20x\\2500=20(x)\\x=\frac{2500}{20}\\x=125[/tex]

So, It will take 125 s to travel 2.5 km

Answer:

A, C, E

Step-by-step explanation:

Welcome :)

Answer:

8x-3=5x+6

Step-by-step explanation:

8x-3=5x+6

3x=9

x=3

Answer:

1/12

Step-by-step explanation:

Step one:

given data

the line containing the points (5, 3) and (-7, 2).

x1= 5

y1= 3

x2= -7

y2=2

Step two:

The slope is given as

Slope= y2-y1/x2-x1

substitute

Slope= 2-3/-7-5

Slope= -1/-12

Slope = 1/12