a) write 63 as the product of prime numbers.
write the prime numbers is ascending order.

b) work out the highest common factor of 63 and 105.

Answers

Answer 1

63 as the product of prime numbers is 3 x 3 x 7.

The highest common factor of 63 and 105 is 21.

Prime numbers are numbers that are only divisible by one and that number. Examples of prime numbers are 5, 7, and 11.

Factors of 63 are: 1, 3, 7, 9, 21, and 63

Prime numbers that are products of 63 = 3 x 3 x 7

The factor of a number is a number that can divide another number without leaving any remainder.

Factors of 63 =  1, 3, 7, 9, 21, and 63 Factors of 105 =  1, 3, 5, 7, 15, 21, 35 and 105.Common factors = 1, 3, 7, 21 Highest common factor = 21

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Related Questions

What value makes f(x)=11 if f(x)=5(4x-3)-2(x-6)

please answer asap

Answers

Substitute 11 for f(x) and solve
5(4x-3)-2(x-6)=11
Distribute
20x-15-2x+12=11
Combine
18x-3=11
18x=14
x=14/18
x=7/9

Write an equation that represent the line

Answers

the formula that is needed is y=mx+b, so the answer is y=5/6x+2.5

Find f(2) and f(3).
f(1) = 3
f(n) = 7f(n = 1)

Answers

Answer:

do it got a picture

on the edge2020

Step-by-step explanation:

Write the following statements in the form of equations.

a. The sum of five times p and 8 is 23.

b. If you subtract 6 from 3 times a number, you get 18.

c. One third of a number plus 7 is 26.

Answers

Answer:

a. The sum of five times p and 8 is 23.

A circumference of the wheel of Victoria is 4.4m. How much distance coill it cover in 500 revolutions?​

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Total distance covered is equal to ~

Number of revolutions × circumference

[tex] \sf500 \times 4.4[/tex]

[tex] \sf2200 \: m[/tex]

Hence distance covered = 2200 m = 2.2 km

HOME WORK DUE SOON PLZ HELP!!!!!

what is the slope of this graph?​

Answers

Answer

16

Step-by-step explanation:

slope go up 16 every time

Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes​

Answers

Answer:

2430kg

Step-by-step explanation:

3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430

who wants to help i really dont wanna do this question

Answers

Answer:

71

Step-by-step explanation:

(2x² = 2 × 5² = 2 × 25) + ([4x = 4 × 5 = 20] + 1)

(50) + (21) = 71

How do I find the percentage of two column data table?

Answers

A) 47.70%
B) 52.30%
hope this is helpful!

G=4ba
Solve for A
Pls

Answers

Answer:

a=g/4b

Step-by-step explanation:

g=4ba

g/4b=a

a=g/4b

Brainliest
Please do one of the above
(I would appreciate if you did more then one)

Answers

Answer:

a) 52.5 ft. b)40.1ft c)12.5ft d) 72.6

Step-by-step explanation:

a) The height of the lighthouse is 84ft, and the angle of elevation is 58 degrees.

tan58=84/x

find x by dividing 84 by tan58, and you get 52.5ft.

b) do the same thing, except 131 is in the base of the right triangle shape. That being said, do tan17=x/131.

multiply 131 by tan17, and you get x=40.1 feet.

c) This question wants you to find the length of the slide, (basically the hypotenuse).

given the angle to be 46, do sin46=9/x

since sin is opp/hyp

9/sin46= 12.5ft

d) Find the angle of elevation by using inverse tan given the base to be 5, and the height to be 16ft.

tan^-1=(16/5)=theta

x=72.6 hope this helps!

Answer:

Step-by-step explanation:

How many lines of symmetry does this have it. If none put 0.​

Answers

Answer:

well a line of symmetry is a line that cuts a shape directly in half in this case there is 4

Step-by-step explanation:

does anyone know how to do this?? thank you for your help

Answers

Answer:

substitute 1 for t

Step-by-step explanation:

kam
An object oscillates as it moves along
the x-axis. Its displacement varies with
time according to the equation
x = 3 cos(6pi t + pi/2)

where t is in seconds

What is the frequency of this motion?

Answers

The frequency of this motion is 3 Hz

The standard equation of an oscillation is given by:

x = A cos(ωt + Ф)

Where x is displacement, A is amplitude, ω is angular frequency = 2πf and Ф is phase difference.

Given the equation:

x = 3 cos(6πt + π/2)

Hence;

ω =

2πf = 6π

f = 3 Hz

The frequency of this motion is 3 Hz

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Test 1 2021-22 19 of 9
The graph represents Samantha's walk in front of a motion detector. Identify two points marked on the graph that define the interval
where her average rate of change was 2/3 meters per second.
Motion Detector Walk

Answers

Given that the shape of the graph is curved, the rate of change can be

estimated by using the average value between specified points.

The points are;

[tex]\underline{(6, \, 6)}[/tex][tex]\underline {(9, \, 8)}[/tex]

Reasons:

The coordinates of the points marked (distances and time) during the walk are;

[tex]\begin{tabular}{|c|c|}Time (seconds), x&Distance from motion detector (meters), y\\0&1\\3&2\\5&4\\6&6\\7&7\\9&8\end{array}\right][/tex]

Required: Identification of two points marked on the graph that define the

interval where Samantha's average rate of change was 2/3 meters per

second.

Solution:

The average rate of change between two points is given by the ratio of

difference in the distance from the motion detector to the difference in

time between the points.

[tex]\displaystyle Average \ rate \ of \ change = \frac{Change \ in \ distance}{Change \ in \ time} = \mathbf{ \frac{\Delta y}{\Delta x}}[/tex]

At the required points, the change in the y-values, will be 2 × a, while the

corresponding change in x-values will be 3 × a, where, a is rational number.

From the above table, at the points where the time is 6 seconds and 9

seconds, we have the following distance time ordered pair;

(6, 6), and (9, 8), from which we have;

[tex]\displaystyle Average \ rate \ of \ change =\frac{\Delta y}{\Delta x} = \mathbf{\frac{8 - 6}{9 - 6}} = \frac{2}{3}[/tex]

Therefore;

The points [tex]\underline{(6, \, 6)}[/tex], and [tex]\underline {(9, \, 8)}[/tex], are two points that represent an interval

where her average rate of change was 2/3 meters per second.

Learn more about average rate of change of a graph here:

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You are 5 years less than your older brother express the age of your elder brother in terms of your age using variable​

Answers

Answer:

Step-by-step explanation:

If x represents your age then the age of your elder brother

is x + 5 years.

Answer:

Your age = y

So the variable expressing the age of your elder brother would be y + 5 (years).

Hope that helps?

I just need to know how to solve this question.

Answers

Answer:

x = 62

Step-by-step explanation:

x and 118 form a linear pair (added up, they both equal 180 degrees)

So, 180-118 = 62 which is the measurement of x

Ok so how can you tell if 2 angles are complementary, vertical, or supplementary? I don't know how to tell and I have pre-algebra hw due tomorrow. ​

Answers

Complementary angles are two angles that add up to 90°

Supplementary angles are two angles that add up to 180°

Vertical angles are two angles that are opposite of each other and are also congruent

The graph shows how the number of hats in your collection increased since you began collecting 6 months ago. How many hats did you collect during the second month? Hat Collection A graph has time (months) on the x-axis, and total number of hats on the y-axis. Lines connect points (0, 0), (1, 3), (2, 5), (3, 8), (4, 9), (5, 10), (6, 12). hats

Answers

Answer:

Step-by-step explanation:

Two hats were collected in the second month (5-3) =2.

The area of a triangle is 30 square inches.
The base of the triangle is x - 6 inches,
and the height is x + 5 inches.
Find the value of x, and the dimensions of the triangle.
A = 1/2bh

x=
base=
height=

Answers

Answer:

x=10

base=4inches

height=15inches

Step-by-step explanation:

A=1/2bh

30=1/2(x-6)(x+5)

60= x²+5x-6x-30

x²-x-90=0

x²-10x+9x-90=0

x(x-10) +9(x-10)=0

(x+9)(x-10)=0

x= -9 or 10

x cannot be negative

Therefore x= 10

base= 10-6

=4inches

height=10+5

=15inches

What is three minus X equals 11

Answers

Answer:

x= -8

Step-by-step explanation:

Subtract 3 from both sides to isolate the variable

Divide the variable by -1 so it can become positive; whatever you do to one side, you have to do to the other.

You'll end up with the equation of x= -8 if you do it correctly

-x=11-3 x=8 this is anwer

Could anyone help out? It's 11pm and I have finals tmrw :/

For the given polynomial P(x) and the given c, use the remainder theorem to find P(c). 3 P(x) = 5x? - 2x2 – 3x+ 3; - 4​

Answers

There i hope it help

Stay safe and study hard

i needhelp quick will give brainlist

Answers

Answer:

B. y=0.07x

Step-by-step explanation:

Hope this helps! Have a good day:)

hunter has a jar of 368 nickels and dimes. the total value of coins is $28.40. which system of equations below would be the best to use to find the number of nickels and dimes hunter has?

Answers

Answer:

We can't see your answer choices, but it would be n + d = 368 and .05n + .10d = 28.40

Step-by-step explanation:

n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

Given that hunter has a jar of 368 nickels and dimes.

The total value of coins is $28.40.

We need to find the system of equations below would be the best to use to find the number of nickels and dimes hunter has

The total quantity of nickels and dimes is 328

n+d=368

The value of nickel is 0.05 dollars

The value of dime is 0.10 dollars

0.05n+0.1d=$28.40

Hence, n+d=368 and 0.05n+0.1d=$28.40 is the system of equations below would be the best to use to find the number of nickels and dimes hunter has

To learn more on Equation:

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#SPJ5

What is the value of x in the equation 8x – 2y = 48, when y = 4?

Answers

Answer:

x = 7

Step-by-step explanation:

Substitute y = 4 into the equation and solve for x

8x - 2(4) = 48

8x - 8 = 48 ( add 8 to both sides )

8x = 56 ( divide both sides by 8 )

x = 7

Answer:

x = 7

Step-by-step explanation:

8x - 2y = 48

y = 4

First, let's substitute y for it's actual value as we know it.

8x - 8 = 48

Next, add 8 on both sides. (When doing these sort of questions you must do the inverse.)

8x = 56

Divide both sides by 8 to get x.

x = 7

Hope this helps and I hope you have a good day!:)

help with these pleaseee

Answers

Percent Change = (new quantity - old quantity) / old quantity

#2:

(64 - 52) / 52

12 / 52

0.2308

23%

#4:

(12 - 18) / 18

-6 / 18

-0.33

33% decrease

#5:

(10 - 16) / 16

-6 / 16

-0.375

38% decrease

Hope this helps! :)

#5: Consider the expression below. Which of the following numbers are coefficients? Select all that apply.

9x2 + 5x – 8 + 3x2

A. 9
B. 5
C. 8
D. -8
E. 3

Answers

Answer:

B

Step-by-step explanation:

the 5 in 5X.

Select the point - slope form of the line

Select one:

a.
y − y1 = m ( x − x1 )


b.
ax + by + c = 0


c.
x / a + y / b = 1


d.
y = mx + b

Answers

Answer:

y − y1 = m ( x − x1 )

Step-by-step explanation:

Point slope form would include a slope 'm' and a point (x1, y1).

The first option is the general formula for point-slope form.

B is standard form for a straight line (it can also be Ax + By = C)

C is intercept form.

D is slope-intercept form.

Hope this helps.

Determine whether the graph represents a function. *

Answers

Answer:

Not a function

Step-by-step explanation:

There are two points that correspond to the same variable

Hope this helps

Answer:

not a function

Step-by-step explanation:

There are two points that have the same x and  different y values

This would fail the vertical line test.

(-14,-3) (6,10) find the slope and explain
please

Answers

Answer:

The slope would be 13/20

Step-by-step explanation:

10-(-3) is 13 (numerator) and 6-(-14) is 20 (denominator)

hope this helps!!

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