Find the equation of a straight line that has a gradient of 4 and passes through the point (1,10)

Step-by-step explanation:

let debbie be x years

let felix be 6x years

in 12 years felix will be 2x older than debbie

do the calc

Answer:

A

Step-by-step explanation:

a geometric sequence is where we multiply a factor from element to element.

a1 = $900

a2 = 981 = a1 × f = 900 ×

a3 = 1069.29 = a2 × f = a1 × f × f = s1 × f²

[tex]an = 900 \times {f}^{n - 1} [/tex]

so, now let's try and get f.

remember, 981 = 900 × f

f = 981/900 = 109/100 = 1.09

just to control, we check for s3 :

900 × (1.09)² = 900 × 1.1881 = 1069.29

correct.

so,

a13 = 900 × (1.09)¹² = 2,531.398304

s13 is then the sum of all a1, ..., a13

there is a nice formula for sums of finite sequences

s13 = 900 × (1-f¹³) / (1-f) = 900×(1-(1.09)¹³) / (1-1.09) =

= 900×(1-3.065804612) / (-0.09) =

= 900×(-2.065804612) / (-0.09) = 20,658.04612

.

Answer:

68

Step-by-step explanation:

"a remainder 3 when divided by 5": The number must be 3 more than a multiple of 5.

"a remainder 5 when divided by 7": The number must be 5 more than a multiple of 7.

"a remainder 8 when divided by 10": The number must be 8 more than a multiple of 10.

List some number that are 8 more than a multiple of 10:

18, 28, 38, 48, 58, 68, 78, 88, 98

List some number that are 5 more than a multiple of 7:

12, 19, 26, 33, 40, 47, 54, 61, 68, 75

We see 68 as a the lowest common multiple.

68/5 = 13 remainder 3

Answer: 68

Answer:

Formulas and Procedures: Outlier An extreme value in a set of data which is much higher or lower than the other numbers. ... Outliers affect the mean value of the data but have little effect on the median or mode of a given set of data.

Answer:

Infinite solutions

Step-by-step explanation:

Distribute the numbers

3(6x-2) = 18x - 6

2(9x-3) = 18x - 6

18x - 6 = 18 - 6

Since both sides of the equal sign are the same, that means you can plug any number into x, and it will always be a valid answer.

Step-by-step explanation:

125 -30 = 95..

125 - 60 = 65

Answer:

[tex] = { \tt{ \frac{125}{5} }} \\ = { \bf{25 \: frames \: per \: second}}[/tex]

Answer:

B. 25 frames per second

Step-by-step explanation:

To find the rate in frames per second, divide the total frames in 5 seconds by 5. This is because 5/5=1 and that way we're finding the frames per (one) second.

Therefore, we have:

[tex]\frac{125}{5}=\boxed{25\text{ frames per second}}[/tex]

9514 1404 393

Answer:

  BC = 5

Step-by-step explanation:

Of course, this geometry program can tell you the length of BC.

__

If you follow directions, you get a right triangle BCF that has leg lengths 3 and 4. The Pythagorean theorem then tells you the length of hypotenuse BC is ...

  BF = 4 -1 = 3

  FC = 4 -0 = 4

  BC² = BF² +FC²

  BC² = 3² +4² = 9 +16 = 25

  BC = √25

  BC = 5

Answer:

100,000 days

Step-by-step explanation:

1,000,000 / 10 = 100,000 days.

Answer:

A

Step-by-step explanation:

x^2/y+x^2/z where x=6, y=-4 and z=-2

x^2(1/y+1/z)=36*(-1/4+(-1/2))=-36*(3/4)=-27

Answer:

9

Step-by-step explanation:

kwowoooaloiwknwjsjsisjsjsjsisjsj

Answer: A. 25 miles

Step-by-step explanation: I used Pythagorean’s Theorem.

Answer:3165

Step-by-step explanation:

Answer:4,670,000,000

Step-by-step explanation:

You just have to multiply 467,000,000 by 10

Answer:

4,670,000,000

Step-by-step explanation:

multiply by 10

Answer:

D.  y=x+1                   Linear

A.   y=x^2                 Quadratic

B.   y=(3/2)^x             Exponential

C.   y=x^2+2/x^2-2    Rational

Step-by-step explanation:

got it right :)

The correct option for the equations are:

The linear equation is an equation whose highest degree of the variable is 1 which represents the graph of the straight line.

For example y=2x+3

The quadratic equation is an equation whose highest degree of the variable is 2 and it has at most 2 solutions.

For example, y=3x²

Here given that the functions are given in the figure and we have to identify the appropriate graph.

Checking all the equations individually

Therefore the correct option for the equations are:

Learn more about linear equation

here: https://brainly.com/question/14323743

#SPJ2

Answer:

8a^3-64p^3-36a^2+54a-27

Step-by-step explanation:

since it no common variable so it can not be further solved

Answer:

5/7

Step-by-step explanation:

5x-7y=14

-7y=14-5x

y=-2+5/7x

y=5/7x-2

This slope is 5/7. This is because in the standard form of a line (y=mx + b), m represents the slope. In the equation above, 5/7 is the slope.

Part A: 23

Part B: 13

Part C: Median for the males

Mean for the females

Part D: The day the movie premiered

Process to arrive at the above answers

The likely missing part of the question; The Box Plots are to compare The Number of Males and The Number of Females attending the latest superhero movie every day in a given month

The known parameters

The 5 number summary in a are;

[tex]\begin{array}{lcc}\mathbf{Summary}&\mathbf{Males}&\mathbf{Females}\\\\Minimum &0&0\\First \ Quartile, \ Q_1&2&5\\Second \ Quartile, \ median, Q_2&20&7\\Third \ Quartile, Q_3&25&10\\Maximum &50&18\\Outlier&&46\end{array}[/tex]

Part A: The Inter Quartile Range, IQR = Q₃ - Q₁

For the males, we have, IQR = 25 - 2 = 23

Part B: The difference between the median values for the males and females is given as follows;

Difference between median = Q₂ Males - Q₂ Females

∴ Difference between median = 20 - 7 = 13

The difference between the median values for the males and females = 13

Part C:

The distribution of the data for the males is skewed left, with almost all the data in the first half

The better measure of center for the skewed data is the median, given

that three quarter of the data have values that are less than half of the

range of values in the data set, and that the median is close to the third

quartile, the mean will be located further towards the minimum value of

the data than the median

The distribution of the data for the females consists of the interquartile

range located approximately in the middle between the max and the min

values with the median being close to the first quartile, therefore, the

mean will be a better measure of center as it will be located further from

the first quartile and closer midway in the IQR

Part D;

The possible reason for the outlier in the data set may be due to the first day the latest super hero movie is premiered

Learn more about box plots here;

https://brainly.com/question/16171899

https://brainly.com/question/20164121

https://brainly.com/question/17248599

Answer:-3x2-5x+2

Step-by-step explanation:

Distribute -2x to x+3, and then x+1 to x-2

[tex]-2x^{2}[/tex] [tex]-6x[/tex] [tex]-x(x-2)+1(x-2)[/tex]

[tex]-2x^{2} -6x-x^{2} +2x+1x-2[/tex]

[tex]-3x^{2} -3x-2[/tex]

Sorry it’ll be -3x2 -5x +2

Answer:

is infinite set... because dots meaning non stop

Answer:

y = 2 - [tex]x^{2}[/tex]

Step-by-step explanation:

[tex]x^{2}[/tex] results in a parabola (U-shape). Adding a negative in front of it flips the parabola to look like an upside-down U.

The 2 makes it shift up two decimal spots to (0,2).

Answer:

x = 14.63

Step-by-step explanation:

Answer:

B. 46:31

Step-by-step explanation:

Answer:

46:31

Step-by-step explanation:

There are 46 beads in total (31 pink and 15 purple).

So, the ratio of the total number of beads to the number of pink beads is 46:31.

Hope this helps :)

Step-by-step explanation:

Radius of circular track=r=0.75km

Circumference=2πr=2πkm

Speed of train=36 km\hr

Distance moved by train in 30 seconds =36×

3600

30

=

10

3

km

For 2π km, train turns 2π

c

∴ For

10

3

km, train turns

10

3

c

=

π

54

∘

1 minute of arc=

60

1

∘

Angle turned by train =(

π

54×60

) minutes of arc.

≃1031 minutes

Answer:

vận tốc22

chiềudai0.75

t=1/60

đ=111/30

Answer:

Step-by-step explanation:

[tex]sin^3xcosx+sinxcos^3x\\=sinx cosx(sin^2x+cos^2x)\\=sinx ~cosx(1)\\=sin~x~cos~x[/tex]

Answer:

0.35 as a decimal and  7/20 as a fraction

Step-by-step explanation:

B is the midpoint of DC.

Answer:

y = -3/5x - 2

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 5 - (-5)

-6/ 10

= -3/5

y = -3/5x + b

1 = -3/5(-5) + b

1 = 3 + b

-2 = b