Answer:
6. Base
Step-by-step explanation:
In Mathematics, a power involves the multiplication of factors repeatedly. Thus, it's simply a multiplication (product) of repeated factors.
The base of a power is the common factor. When working with a power, the base is the number that is the common factor.
For example;
10⁴ = 10 * 10 * 10 * 10
Therefore, the base in the above expression is 10.
Additionally, the exponent is 4 and it represents the number of times the base "10" was used as a factor.
Colin is painting figurines. He spends 20 minutes painting each figurine. After painting for 60 minutes, he still has 9 more figurines left to paint. The number fff of figurines left to paint is a function of ttt, the amount of time in minutes Colin spends painting.
Answer:
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Step-by-step explanation:
Given
[tex]t \to time[/tex]
[tex]f \to figurines[/tex]
Required
Determine the function
From the question, we have:
[tex]60\ minutes \to 9\ left[/tex]
This is represented as:
[tex]f(60) = 9[/tex] or [tex](60,9)[/tex]
If he spends 20 minutes on 1 figurine;
[tex]20\ minutes = 1\ figurine[/tex]
Multiply both sides by 3
[tex]60\ minutes = 3\ figurines[/tex]
This means that, he spends 60 minutes on 3
plus he still has 9 left
So, the initial figurines is:
[tex]f(0) =3 + 9[/tex]
[tex]f(0) =12[/tex] or [tex](0,12)[/tex]
So, we have:
[tex](60,9)[/tex] and [tex](0,12)[/tex]
Calculate the slope (m)
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{12- 9}{0 -60}[/tex]
[tex]m = \frac{3}{ -60}[/tex]
[tex]m = -\frac{1}{20}[/tex]
The equation is then calculated as;
[tex]f(t) = m * t + c[/tex]
[tex]f(t) = -\frac{1}{20} * t + c[/tex]
[tex]f(t) = -\frac{1}{20}t + c[/tex]
To solve for c, we have:
[tex]f(60) = 9[/tex]
So, we have:
[tex]9 = -\frac{1}{20} * 60 + c[/tex]
[tex]9 = -3 + c[/tex]
Add 3 toboth sides
[tex]c =12[/tex]
Hence, the equation is:
[tex]f(t) =-\frac{1}{20} t + c[/tex]
[tex]f(t) =-\frac{1}{20} t + 12[/tex]
Answer:
f=-1/20t+12
Step-by-step explanation:
khan
Which of the following statements contain a variable? Check all that apply.
A. The amount of time you ran on the track.
B. How high you can jump.
C. The time school starts.
D. The temperature outside is 31 degrees.
what is the smallest perimeter of area 12 cm can have?
edit: at cm there should have been a small 2 at the top but I forgot just pretend it's there pls.
Answer:
14
Step-by-step explanation:
area = lb
4*3 or 6*2 or 1*12
perimeter= 14,16,26
Can someone please help ?!thank you !
Answer:
72
Step-by-step explanation:
67+5= 72
Ashley has baked 17 cakes for a bake sale. She can bake 2 cakes with each additional stick of butter
she buys. How many additional sticks of butter does she need in order to make 41 cakes?
WRITE THE EQUATION THEN SOLVE PLEASEEEE. THANK YOU SO MUCH
Answer:
12 additional sticks of butter
Step-by-step explanation:
First, create an equation. Let y represent the number of additional sticks of butter needed, and let x represent the number of cakes made.
y = [tex]\frac{x}{2}[/tex] will be the equation.
Since she has already baked 17 cakes, she will need to bake 24 more cakes to make 41 cakes.
Plug in 24 as x into the equation, and solve for y:
y = [tex]\frac{x}{2}[/tex]
y = [tex]\frac{24}{2}[/tex]
y = 12
So, she will need 12 additional sticks of butter
are the triangle similar
1-yes
2-no
Answer:
yes the triangle are similar
. The time of a clock as seen in a mirror is 3:15. The correct time is
Answer:
3:15 cause a mirror cant change time
Step-by-step explanation:
go in ur mirror and look at the time did it somehow get darker or lighter???
Answer:
8:45 i think
Step-by-step explanation:
theres $10.30 and the discount is 25% how much will he save
Answer:
2.58 saved
Step-by-step explanation:
To find the discount, take the amount and multiply the discount percent
10.30 * 25%
10.30 *.25
2.575
Round to the nearest cent
2.58
Answer:
Step-by-step explanation:
2.58 saved
Find the x-intercepts of the parabola with
vertex (1,20) and y-intercept (0,16).
Answer:
Step-by-step explanation:
Since we are finding the x-intercepts, that implies that this is a parabola that opens either up or down as opposed to right or left. It would benefit us to know the equation of the parabola so we could factor it to find the roots (which are also known as the x-intercepts).
Here's what we know:
h = 1, k = 20, x = 0, and y = 20. Filling in the vertex form of a parabola is already halfway to factored, so we'll use that format as opposed to the standard form, which is
[tex]y=ax^2+bx+c[/tex]. The vertex form is
[tex]y=a(x-h)^2+k[/tex] and filling in our values from above:
[tex]16=a(0-1)^2+20[/tex] and
[tex]16=a(1)+20[/tex] and
-4 = a. So the equation for the parabola is
[tex]y=-4(x-1)^2+20[/tex]. Now set it equal to 0 and factor.
[tex]-20=-4(x-1)^2[/tex] and divide both sides by -4 to get:
[tex]5=(x-1)^2[/tex] and take the square root of both sides to get
±[tex]\sqrt{5}=x-1[/tex] and then add 1 to both sides to get the x-intercepts (or roots or solutions or zeros...they're all the same).
x = 1 ±√5 and you're done!
If x=10 what is the value of 4(x-2)
A.48
B.32
C.38
D.8
Answer:
[tex]b. \: \: 32[/tex]
Step-by-step explanation:
[tex]4(x - 2)[/tex]
[tex]4(10 - 2)[/tex]
[tex]4(8)[/tex]
[tex]32[/tex]
Hope it is helpful...Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
a. (3, 5)
b. (4, 11)
c. (4, 4)
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
a. no solution
b. (5, 1)
c. (3, –1)
d. infinite number of solutions
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
a. (3, –7)
b. (6, –4)
c. (–7, 3)
d. (–4, 6)
Answer:
Question 1: d. (3, 7)
Question 2: b. (5, 1)
Question 3: b. (6, –4)
Step-by-step explanation:
Question 1:
Solve this system of equations using any method.
4x – y = 5
3x + y = 16
Add the equations.
7x = 21
x = 3
4(3) - y = 5
-y = -7
y = 7
d. (3, 7)
Question 2:
Solve the following system of equations.
d + e = 6
d – e = 4
Add the equations.
2d = 10
d = 5
5 + e = 6
e = 1
b. (5, 1)
Question 3:
Solve the following system of equations by linear combination:
4x + 3y = 12
y = x – 10
4x + 3y = 12
-x + y = -10
Multiply the second equation by 4 and add to the first equation.
4x + 3y = 12
(+) -4x + 4y = -40
----------------------------
7y = -28
y = -4
-4 = x - 10
x = 6
b. (6, –4)
Given the function f(x) = 2(3)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.
Part A: Find the average rate of change of each section.
Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other.
Please explain in detail, I am confused
Answer:
read the comments i cant help you yet but if you read the comments and do what they say then i can help you
Step-by-step explanation:
Pls I need help with this
Answer:
third side = 6
Step-by-step explanation:
third side is hypotenuse as it is opposite to 90 degree
using pythagoras theorem
(perpendicular)^2 + (base)^2 = (hypotense)^2
5^2 + [tex](\sqrt{11})^2[/tex] = hypotenuse^2
25 + 11 = hypotenuse^2
36 = hypotenuse^2
[tex]\sqrt{36}[/tex] = hypotenuse
6 = hypotenuse
Https://imgur.com/a/n3PRcMY
Let g(x) = 2x and h(x) = x^2 +4 evaluate (h*g)(-2)
Answer:
-32
Step-by-step explanation:
Firstly, what we have to do is to multiply g(x) by h(x)
We have this as;
2x(x^2 + 4)
We then proceed to substitute the value of x with -2 as follows
2(-2)(-2^2 + 4)
= -4(8) = -32
(12 points)Please I need this answer right away multiple-choice answer trolls will be reported thank you lovesss
Hopefully one if you can help me And explain
Answer:
It's A
Step-by-step explanation:
B is out, because each step increases the value linearly by 1
C is out, because each step increases the value linearly by 9
D is out, because each step increases the value linearly by 6
A increases fivefold per step
I plotted the given ordered pairs as points on a plot and figured out the exact function for you, just so that you can look at it
Give the name (monomial,
binomial, trinomial etc.) and
degree of the polynomial.
4x5 + 3x3 – 7x
Answer:
Name:- Trinomial
Degree:- 5 [ the highest power of x is 5 ]
hope it is helpful to you
Will mark brainliest
Answer:
350
Step-by-step explanation:
State if the two triangles are congruent.
Answer:
The triangles are congruent by HL
Step-by-step explanation:
The triangles are right triangles so we can use either HL ( hypotenuse leg) or LL (leg leg) if we know that two sides are congruent
We know one leg is equal to the other by the red line. The hypotenuse is the same since it is the same line.
The triangles are congruent by HL
Which of the following show the Associative Property of Addition? 3(6 + 10) = 3 • 6 + 3 • 10 3 – (6 + 10) = (3 – 6) + 10 3 • (6 • 10) = (3 • 6) • 10 3 + (6 + 10) = (3 + 6) + 10
Answer:
The answer is 47
Step-by-step explanation:
If the volume of the cylinder is approximately 1,357 in3, what is the radius?
whats the height of the cylinder....
we cant find radius if not given height too
V = pie r^2 h
1357 = 22/7 x r^2 x 12
1357 = 264/7 r^2
multiply both side by 7/264 ;
r^2 = 36
r = 6in
The question has the image missing. Check the attachment for the complete question.
The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
What is the volume of a figure?The volume of a figure is the total space enclosed within the figure.
How do we determine the volume of a cylinder?The volume of a cylinder of radius r units, and height h units is determined using the formula,
The volume of the cylinder = πr²h.
How do we solve the given question?In the question, we are given a cylinder of the height of 12 inches and a radius of r inches.
The volume of the cylinder is given to be 1357 in³ approximately.
By the formula,
The volume of the cylinder = πr²h
or, 1357 = 3.14*(r²)*12
or, 1357 = 37.68r²
or, r² = 1357/37.68
or, r² = 36.013 ≈ 36 = 6²
∴ r = 6.
∴ The radius of the cylinder r = 6 in, given the volume of the cylinder, is 1357 in³.
Learn more about the Volume of a figure at
https://brainly.com/question/1972490
#SPJ2
how many miles from the runaway airplane at the start of this approach.
Answer:
it should be 41 ml I think.
Step 4: Calculate the result:
63,756 60
miles / hour
70.5,280
Answer:
10.35miles/hour
Step-by-step explanation:
(63,756 x 60)/ (70 x 5,280) = (3,825,360/369,600) = 10.35
(Application of division)
Answer:
10.35 mph
Step-by-step explanation:
(63,756 times 60) / (70 times 5280) in calculator is equal to 10.35
Cleiton vai participar de uma maratona e para isso treina diariamente correndo 7 km. No final de três semana quantos quilômetros terá percorrido?
Answer:
Number of kilometer he run in 3 week = 147 kilometer
Step-by-step explanation:
Given:
Cleiton's daily run = 7 km
Find:
Number of kilometer he run in 3 week
Computation:
Number of days in a week = 7
Number of days in 3 week = 7 x 3
Number of days in a week = 21 days
Number of kilometer he run in 3 week = Cleiton's daily run × Number of days in a week
Number of kilometer he run in 3 week = 7 × 21
Number of kilometer he run in 3 week = 147 kilometer
PLEASE HELP! Urgent I'll give brainliest if answer is right tysm.
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
The force is 0.35 Newtons when the distance between the objects is 8 metres.
Work out F (rounded to 2 DP) when d=7 metres.
Sorry for the wrong answer
Answer:
0.46 Newtons
Step-by-step explanation:
The force, F (Newtons), between two objects is inversely proportional to the square of the distance, d (metres), between them.
f = k/d²
--------------------------------
to determine k use The force is 0.35 Newtons when the distance between the objects is 8 metres.
0.35 = k/8²
0.35 = k/64
multiply both sides by 64
22.4 = k
---------------------------
Work out F (rounded to 2 DP) when d=7 metres.
f = 22.4/7²
f = 22.4/49
f = 0.46
What is the area of this triangle ?
I need help with can you guys show me the work.
Answer:
Δy = 30 ft.
Step-by-step explanation:
From the question given above, the following data were obtained:
Angle θ = 17.5°
Hypothenus = 100 ft
Opposite = Δy =?
The value of Δy can be obtained by using sine ratio as follow:
Sine θ = Opposite / Hypothenus
Sine 17.5 = Δy / 100
Cross multiply
Δy = 100 × Sine 17.5
Δy = 30 ft
give me the factors of 30
Answer: 1,2,3,5,6, and 10
Step-by-step explanation:
Olivia went to a dance party. She paid $12 as an entry fee. Once inside the dance party, she paid $2 per snack. She started the night with $30 and spent all her money.
write an equation that represents this situation?
Pls help
Answer:
30-12=18
18-18=0
Step-by-step explanation:
2x + 12 = 30
X represents the snacks, 2 represents the $2 per snack, 12 represents the $12 entry fee, and 30 represents the $30 Olivia had.
What is 3.99408317124 rounded to the nearest tenth
Answer:
4
Hope that this helps!
