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.
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 = 21To learn more about prime numbers, please check: https://brainly.com/question/4184435
HELPPPPPPPPPPPPPppPPPPPPPPPPpppp
HELP FAST!!!! A parking garage charges $5 for the first hour, $10 for up to two hours, and $12 for the entire day. Let G be the dollar cost of parking for t hours. Is t a function of G? Explain your reasoning.
Answer:
27
Step-by-step explanation:
just do 5+10+12
helppp meeee and answer pleaseeeeeeee
Answer:
13.6 and .4
Step-by-step explanation:
3.4x4=13.6
leaving .4 left
Answer:
4 and 2 berries left over.
Step-by-step explanation:
14 divided by 3 = 4
4x3=12
14-12=2
Find the area of each figure
Answer:
17.5
Step-by-step explanation:
7*5/2
Q4
An ice cube measures 2 cm by 2 cm by 2 cm.
A)What is its volume?
B) Is there enough room in a container measuring
8 cm by 12 cm by 10 cm for 100 ice cubes?
Answer:
A. [tex]8cm^{3}[/tex] B. Yes
Step-by-step explanation:
2*2*2=8cm cubed
8*12*10=960 which is greater than 800
Answer:
Step-by-step explanation:
2 x 2 x 2 = 8
the volume is 8 cm^3
8 x 12 x 10 = 960 cm^3
8 / 2 = 4
12 / 2 = 6
10 / 2 = 5
4 x 6 x 5 = 120
you can fit up to 120 cubes into the container
Marla was given the point (1,3), (2, 1), and (-2, -15). She was asked to find a quadratic function that fit these 3 given
points. Marla created a system of three equations with three variables to solve the problem and then used the
matrix functions on her graphing calculator to find the equation. Which equation can be written given these 3
points?
The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].
A quadratic function ([tex]p(x)[/tex]) is a second order polynomial of the form:
[tex]p(x) = \Sigma\limits_{i= 0}^{2} c_{i}\cdot x^{i} = c_{2}\cdot x^{2}+c_{1}\cdot x + c_{o}[/tex] (1)
Where:
[tex]x[/tex] - Independent variable[tex]i[/tex] - Monomial index[tex]c_{i}[/tex] - i-th coefficientTo determine the value of all coefficients, we need three distinct points on plane and create a resulting system of linear equations.
If we know that [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex], then the system of linear equations is:
[tex]c_{2}+c_{1}+c_{o} = 3[/tex] (2)
[tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] (3)
[tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] (4)
The linear equations [tex]c_{2}+c_{1}+c_{o} = 3[/tex], [tex]4\cdot c_{2} + 2\cdot c_{1}+ c_{o} = 1[/tex] and [tex]4\cdot c_{2} - 2\cdot c_{1} + c_{o} = -15[/tex] can be written given the points [tex](x_{1}, y_{1}) = (1, 3)[/tex], [tex](x_{2}, y_{2}) = (2, 1)[/tex] and [tex](x_{3}, y_{3}) = (-2, -15)[/tex].
To learn more on systems of linear equations, we kindly invite to check this verified question: https://brainly.com/question/20379472
Here are the graphs of L(x) and R(x) what are the values of L(2) and R(2)
Using the function graph given, it is found that:
L(2) = 7.R(2) = 1.When a piece-wise function is given, that is, a function that has multiple definitions, the numeric value at x when the definition changes is given by the closed circle.
For function L(x), when x = 2, the closed circle is at y = 7, hence, L(2) = 7.For function R(x), when x = 2, the closed circle is at y = 1, hence, R(2) = 1.To learn more about the use of graphs to analyze a function, you can take a look at https://brainly.com/question/21447009
32-?-10+4=16 what is the missing number?
i don't know the answer to log4(x+6)=2
Answer:
10
Step-by-step explanation:
log4(x+6)=2
x+6=4²
x=4²-6
x=10
Answer:
[tex]x=10[/tex]
Step-by-step explanation:
[tex]log_4(x+6)=2[/tex]
[tex]4^{log_4(x+6)}=4^2[/tex]
[tex]x+6=16[/tex]
[tex]x=10[/tex]
Remember that logarithmic functions are the inverses of exponential functions. Therefore, we raise the base of the logarithm to the logarithm to undo the operation.
If 2 of the triangle sides are 8 m and one side is 6 m what kind of triangle is it
Answer:
An isosceles triangle has two side lengths the same and one different.
Step-by-step explanation:
1. Look at the figure. Find y.
A)15
B)-3
C)2
D)3
Answer:
y = 3
Step-by-step explanation:
The triangles are congruent by AAS.
Sides 5y and 3y + 16 are congruent by CPCTC.
5y = 3y + 6
2y = 6
y = 3
Find the slope of the line that passes through the points given in the first column and match them with the appropriate result.
Number: (10,7) and (1,2)
Drags And Drops:5/9, -7/8, 2/7, 6/7, 5/7
Answer:
5/9.
Step-by-step explanation:
The slope is the difference in y-values divided by corresponding difference in x-values.
So here:
Slope = (7-2)/(10-1)
= 5/9.
Which of the following is not true about the mean of a set of data?
The mean can be less than the minimum data value.
The mean can be the same value as the median.
The mean can be different from all the data values.
The mean can be one of the data values.
Answer:
i think the answer is -> "the mean can be less than the minimum data value."
Step-by-step explanation:
mean means the average and by finding the average you need to add up all your set values then divide it, so with that being said the mean will always need to be higher than the lowest data set of value.
Evaluate the expression for the given value of x.
0.6x + 6.2 for x = -1
The solution is
Answer:
5.6
Step-by-step explanation:
if x is -1. multiply -0.6 * -1. Which is -0.6.
Then add -0.6 and 6.2 and the answer you would get is 5.6.
Given that £1=$1.62
How much is £650 in $?
How much is $405 in £?
Answer:
£650=$1053
£405=$656.1
from the scale we multiply the values of euro by 1.62
Answer:
1.) 401 dollars
2.)656 euros
What is the value of X?
Answer: It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable
May someone help me please!
Answer: i got you my boi answer is x > -3
Step-by-step explanation:
I need help with the answer to this question.
9 - 3 divided by 1/3 + 1 = ?
Will give the ranking thing to best explanation.
(sry I don’t know the name of what the ranking is called)
19
Explanation:
9-3=6
(Check your work)
3+6=9
__________________________________
6÷1/3=18
(Check your work)
(6×3=18)
__________________________________
18+1=19
Therefore,
the answer is 19!
please help with this
Answer:
[tex]y = \frac{1}{8} x - 3[/tex]
Step-by-step explanation:
Formula for straight lines:
[tex]y = mx + b[/tex]
where m = slope, b = constant
Given:
y-intercept = -3 (0, -3)
m = ⅛
Substitute into formula to find b.
[tex] - 3 = \frac{1}{8} (0) + b \\ - 3 = 0 + b \\ b = - 3[/tex]
Substitute b into original formula
[tex]y = mx + b \\ y = \frac{1}{8} x + ( - 3) \\ y = \frac{1}{8} x - 3[/tex]
Hi!! So I am doing test corrections for a test that I did bad on but I need to know what is the equation for this??
Answer:
u can use fraction calculator
Step-by-step explanation:
just go and search 'fraction calculator'
Which expression is equivalent lo the following complex fraction?
Answer:
[tex] \frac{ - 1}{2} [/tex]
Hope this helps you !!Write the equation of a line that is perpendicular y=-2 And that passes through the point (8,-4)
Answer:
y=1/2-8
Step-by-step explanation:
slope is 1/2
-4-y=1/2(8-x)
-4-y=4-1/2
-y=-1/2+8
y=1/2-8
Which equation choice could represent the graph shown below?
find three consecutive numbers if their sum is 3n
Answer:
n-1,n,n+1
Step-by-step explanation:
let the numbers be x,x+1,x+2
x+x+1+x+2=3n
3x+3=3n
3x=3n-3
x=1/3 (3n-3)=n-1
so mumbers are n-1,n,n+1
The three consecutive numbers are n-1, n, and n+1.
We have to determine, the three consecutive numbers if their sum is 3n.
According to the question,
The consecutive number series can be even as well as odd depending on the first term of the series and the difference between the numbers.
Let, the three consecutive numbers be x, x+1, and x+2.
The sum of three consecutive numbers is equal to 33.
[tex]\rm x + x+1+x+2=3n\\\\3x+3 = 3n \\\\Divided \ by \ 3 \ on \ both \ the \ sides \\\\x +1 = n\\\\x = n-1[/tex]
Therefore,
The first consecutive number is,
[tex]\rm x = n-1[/tex]
The second consecutive number is,
[tex]\rm x+1 = n-1+1 = n\\[/tex]
The third consecutive number is,
[tex]\rm x+2= n-1+2 = n+1\\[/tex]
Hence, The three consecutive numbers are n-1, n, and n+1.
For more details refer to the link given below.
https://brainly.com/question/16048559
Given: triangle JKN J (3,1), K (5,2), N (1,5)
(all 3 need separate answers)
a) find the coordinates of the centroid.
b) find the coordinates of the orthocenter.
c) find the coordinates of the circumcenter and length of radius of circumscribed circle.
Answer:
Let the radius of the circumscribed circle be r.
The formula for calculating the radius r is
r
=
Δ
s
Where
Δ
is the area of the triangle
s
is the semi-perimeter.
s
for any triangle is calculated as
s
=
a
+
b
+
c
3
Where,
a
,
b
,
c
is the sides of the triangle
Δ
=
√
s
(
s
−
a
)
(
s
−
b
)
(
s
−
c
)
(Heron's Formula)
Plug in the values and get the answer.
Once you have the radius, you can easily find out the area of the circle.
Step-by-step explanation:
please answer i have finals this coming week and i need to get my grade up
Answer:
first line for you graph would be from 5 to 5 and the second line is -4 to 2
Step-by-step explanation:
hope this is what you needed:)
Will give brainly,5 stars,and thank if it CORRECT
Answer:
$31.68
Step-by-step explanation:
Multiply each by the correct number
almond= 1.4*9.15= 12.81
cashews= 10.75* 0.8= 8.6
Peanuts= 3.95 * 2.6= 10.27
Add them all up
12.81+8.6+10.27
you’ll get 31.68
A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour slower and has 6 miles left after x hours.
a. What is the distance of the entire trip?
miles
b. How long does the entire trip take?
hours
minutes and
seconds
Answer:
The correct answers are:
A) 60 miles; and B) 3.375 hours.
Explanation:
We will use the equation d = rt for this.
For the first leg of the trip, the bird travels 20 miles per hour for x hours. This gives us the equation
d = 20x
For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour. He also travels 6 miles less than the return distance, for x hours:
d-6 = 16x
To isolate d, we will add 6 to each side:
d-6+6 = 16x+6
d = 16x+6
We will set the two equations equal to one another, since they both equal d:
20x = 16x+6
Subtract 16x from each side:
20x-16x = 16x+6-16x
4x = 6
Divide both sides by 4:
4x/4 = 6/4
x = 1.5
He travels for 1.5 hours both times.
The first time, 1.5 hours at 20 miles per hour is:
d = 1.5(20) = 30 miles
The original trip is 30 miles. This makes the entire trip 30(2) = 60 miles.
On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:
24 = 16x
Divide both sides by 16:
24/16 = 16x/16
1.5 = x
If he goes 24 miles in 1.5 hours at 16 miles per hour, we can use a proportion to find the time it takes for the entire return trip:
24/1.5 = 30/x
Cross multiplying,
24*x = 1.5(30)
24x = 45
24x/24 = 45/24
x = 1.875
This gives him a total time of 1.5+1.875 = 3.375 hours
Step-by-step explanation:
HELP ME PLEASEEEE
6(p+2.25)=15 9/10 DUE RIGHT NOWWWW
Answer:
p=2/5
p=0.4
Step-by-step explanation:
Answer:
p=2/5
Step-by-step explanation:
6p+13.5=159/10