Answer:
y=a√x
y/a=a√x/a a will cancel out on the right side of the equation
therefore, √x=y/a
x=√y/x
What is 100 ÷ 5 × 4 + 43
A. 69
B. 144
C. 0.3
D. 1.2
Answer:
123
Step-by-step explanation:
100 ÷ 5 x 4 + 43
20 x 4 + 43
80 + 43
123
Three friends go to the movies and spend a total of $75.00. Each friend bought a ticket and a small popcorn that cost $8.25 how much was each ticket
Given:
Total amount spend on movie = $75
Each friend bought a ticket and a small popcorn that cost $8.25.
To find:
The price of each ticket.
Solution:
Let x be the price of each ticket.
Total cost of ticket and popcorn of each friend [tex]=x+8.25[/tex]
Total cost of ticket and popcorn of three friend [tex]=3(x+8.25)[/tex]
It is given that, the total amount spend on movie is $75. So,
[tex]3(x+8.25)=75[/tex]
[tex]x+8.25=\dfrac{75}{3}[/tex]
[tex]x+8.25=25[/tex]
Subtract 8.25 from both sides.
[tex]x=25-8.25[/tex]
[tex]x=16.75[/tex]
Therefore, the cost of each movie ticket is $16.75.
Nicole buys a meal in a town with a 9% sales tax. She tips 17% on the bill before adding the sales tax. She pays a total of $15.30. What should be the original cost of her meal?
Answer:
17/100×15.30=2.60
9/100×15.30=1.37
15.30-(1.37+2.60)=11.33
What is the measure of ACB in O below?
Answer:
A
Step-by-step explanation:
The central angle is equal to the arc that subtends it , then
arc AB = 30°
arc ACB = 360° - 30° = 330° → A
Examine the diagram of circle O, where JW⎯⎯⎯⎯⎯⎯⎯⎯ and JV⎯⎯⎯⎯⎯⎯⎯ are tangent to circle O at points W and V, respectively. The diagram as described in the problem. © 2016 StrongMind. Created using GeoGebra. If JW=x8+4 and JV=x4+2, what is the length of JW?
a. 2
b. 6
c. 16
d. 10
Answer:
6
Step-by-step explanation:
Just got it right.
A quadratic monomial with a leading coefficient of 6
A linear binomial with a leading coefficient of 2
Given:
A quadratic monomial with a leading coefficient of 6.
A linear binomial with a leading coefficient of 2.
To find:
The mathematical terms for the given statements.
Solution:
Monomial: The expression with single term.
Binomial: The expression with two terms.
Quadratic: Highest power of the variable is 2.
Linear: Highest power of the variable is 1.
Coefficient: In the product of a number and a variable, the number is known as the coefficient of that variable.
The first statement is "A quadratic monomial with a leading coefficient of 6".
Quadratic monomial means single term with degree 2. The leading coefficient of 6. So, the term is [tex]6x^2[/tex].
The second statement is "A linear binomial with a leading coefficient of 2".
Linear binomial means [tex]ax+b[/tex], where a and b are real values. The leading coefficient is 2. So, [tex]a=2[/tex].
Let [tex]b=1[/tex], then the required linear binomial is [tex]2x+1[/tex].
Therefore, a quadratic monomial with a leading coefficient of 6 is [tex]6x^2[/tex].
A linear binomial with a leading coefficient of 2 is [tex]2x+1[/tex].
What is the explicit formula for this sequence?
-7, -4, -1, 2, 5, …
Answer:
y = 3x -7?
Step-by-step explanation:
started from 7 and going infinite
Three times a number increased by ten to equal to twenty less than six times the number. Find the number.
PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
will mark brainlist.
Answer:
x =10
Step-by-step explanation:
3x + 10 = 6x -20
3x - 6x + 10 = -20
-3x + 10 = -20
-3x = -20 -10
-3x = -30
x = -30/-3
x = 10
Check:
3(10) + 10 = 6(10) - 20
30 + 10 = 60 - 20
40 = 40
What’s the least number of faces a polyhedron can have? And why?
Answer:
The minimum number of faces a polyhedron can have is 4 faces.
Step-by-step explanation:
We know that a polyhedron is a shape surrounded by polygons. We also know that we need at least 3 sides to make a polygon. So, at the minimum a polyhedron can be made by using only triangular faces but in order to make a closed figure we need at least four triangular faces (which is a tetrahedron).
find the x-intercept of the function y=4x+6
Answer:
The x-intercept = -3/2
Step-by-step explanation:
Set y = 0 to find the x-intercepts;
=> y = 4x + 6
=> 0 = 4x + 6
=> 0 - 6 = 4x
=> -6 = 4x
=> -6/4 = x
=> -3/2 = x
Therefore the x-intercept = -3/2
Hope this helps!
someone help me out please:(
Answer:
[tex]m(x) = - 3x - 3[/tex]
Step-by-step explanation:
[tex]m(x) = f(x) - g(x)[/tex]
[tex]m(x) = (2x+1)−(5x+4)[/tex]
[tex]m(x) = 2x+1−(5x)−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−1 \times 4[/tex]
[tex]m(x) = 2x+1−5x−4[/tex]
[tex]m(x) = −3x+1−4[/tex]
[tex]m(x) = −3x−3[/tex]
Hope it is helpful...A sculptor needs to lift a piece of marble it’s a cuboid with dimensions 1 by 0.2 by 0.5 marble has a density of 2.7 what’s the mass in kg
Answer:
Mass of piece of marble = 0.27 kilogram
Step-by-step explanation:
Given:
Dimensions of cuboid = 1 x 0.2 x 0.5
Density of marble = 2.7
Find:
Mass of piece of marble
Computation:
Volume of cuboid = (l)(b)(h)
Volume of marble = 1 x 0.2 x 0.5
Volume of marble = 0.1
Mass = Density x Volume
Mass of piece of marble = Density of marble x Volume of marble
Mass of piece of marble = 2.7 x 0.1
Mass of piece of marble = 0.27 kilogram
Can someone please help me I don’t understand this at all
Answer:
140.3 ft³
Step-by-step explanation:
Volume of cylinder = πr²h
= π x 1.5² x 4
= 28.3 ft³
P.S. The diameter in the picture is 3ft. FIrst, change it to radius. 3/2= 1.5 ft
Volume of cuboid = lwh
= 7 x 4 x 4
= 112 ft³
Total volume = 112 + 28.3 = 140.3
Hope this helps!
Find numbers a and b, or k, so that f is continuous at every point.
Answer:
[tex] \boxed{k = 7} [/tex]
Step-by-step explanation:
When interpreting this piecewise function, to determine whether or not the function is continuous, the limit to the left must be the same as the limit to the right.
Therefore to find an a value where the function is continuous at every point, we must determine where the limit is for the function.
In this case, the function is continuous at x = 7.
lim x→7 [x²] = lim x→7 [kx].
(7)² = k(7)
49 = 7k
÷7 ÷7
7 = k
k = 7.
what is 8690 rounded off to the neareset hundred?
am just asking
Answer:
8700
Step-by-step explanation:
If it is 8,690 and you round to the nearest hundred it would add one to 90 making it 8,700
Answer:
Did not necessarily round up or down, but to the hundred that is nearest to 8690.
8690 rounded to the nearest hundred is: 8700
There is a bag filled with 5 blue and 6 red marbles.
A marble is taken at random from the bag, the colour is noted and then it is replaced.
Another marble is taken at random.
What is the probability of getting 2 blues?
(hegarty maths))
Answer:
The probability of getting 2 blues is 25/121.
Step-by-step explanation:
There are 6 + 5 marbles in total, 11 marbles.
The chances of picking a blue marble is 5/11.
Since you replace the marble you drew, the chances each draw remain 5/11
You cannot draw two red marbles without drawing a red marble on your first draw, so the odds of you making a second draw are 5/11.
5/11 * 5/11 = 25/121
The probability of getting 2 blues is 25/121.
Hope this helps, please mark brainliest! :) Have a great day.
Simply
7p2 x 3p
14p4
Answer:
[tex]{ \tt{ = \frac{7 {p}^{2} \times 3p}{14 {p}^{4} } }} \\ = { \tt{ \frac{21 {p}^{3} }{14 {p}^{4} } }} \\ = { \tt{1.5 {p}^{ - 1} }}[/tex]
a survey of 100 high school students provided this frequency table on how students get to school: what is the probability that a randomly selected student either takes the bus or walks
Answer:
3/5
Step-by-step explanation:
;)
The probability that a randomly selected student either takes the bus or walks is 3/5.
What is the probability?
The probability formula defines the likelihood of the happening of an event. It is the ratio of favorable outcomes to the total favorable outcomes.
A survey of 100 high school students provided this frequency table on how students get to school:
The probability that a student selected is a senior student or one that drives to school.
From the table, the number of senior students is 25 + 20 + 5 = 50
So the probability of selecting a senior student is 50/100 = 1/2
Now the probability of selecting a student that drives to school.
The number of students that drive to school is 3 + 2 +5 = 10
So the probability of a student who drives to school is 10/100 = 1/10.
The probability that a randomly selected student either takes the bus or walks is;
[tex]=\dfrac{1}{2}+\dfrac{1}{10}\\\\= \dfrac{1 \times 5+1\times 1}{10}\\\\= \dfrac{1+5}{10}\\\\= \dfrac{6}{10}\\\\=\dfrac{3}{5}[/tex]
Hence. the probability that a randomly selected student either takes the bus or walks is 3/5.
Learn more about probability here;
https://brainly.com/question/16937234
#SPJ2
Help Me please!!!!! Rn
Answer:
20 degrees
Step-by-step explanation:
The sum of inner angles of a triangle is 180 degrees
120 + 40 + x = 180
160 + x = 180
x = 20
Answer:
A + 120 + 40 = 180 (interior angles of a triangle equal to 180°)
A = 180-120-40
A = 20°
For the equation y=2x + 6, find the value of y when
(a) x= 0 (b) x= 1
(c) x=2 (d) x=3
WITH CALCULATION AND EXPLANATION PLEASE.FULL CALCULATION
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \huge \mathrm{ \underbrace{Answer}}[/tex]
The given equation is :
[tex] \huge \boxed{ y = 2x + 6 }[/tex]
Now, let's solve for each value of "x"
[tex]\mathrm {\hookrightarrow \:1. \: \: when \: \: x = 0}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 0) + 6[/tex][tex]y = 6[/tex][tex]\mathrm{\hookrightarrow 2.\: \: when \: \: x = 1}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 1) + 6[/tex][tex]y = 2 + 6[/tex][tex]y = 8[/tex][tex]\mathrm {\hookrightarrow \: 3. \: \: when \: \: x = 2}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 2) + 6[/tex][tex]y = 4 + 6[/tex][tex]y = 10[/tex][tex]\mathrm{\hookrightarrow \: 4. \: \: when \: \: x = 3}[/tex]
[tex]y = 2x + 6[/tex][tex]y = (2 \times 3) + 6[/tex][tex]y = 6 + 6[/tex][tex]y = 12[/tex][tex] \mathrm{✌TeeNForeveR✌}[/tex]
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Equation = [tex]\large\bold{y = 2x + 6}[/tex]
a) [tex]x = 0[/tex]
Substitute the value of x as 0 in the equation.
[tex]y = 2x + 6 \\ y = 2(0) + 6 \\ y = 0 + 6 \\ y = 6[/tex]
✐ Answer of a) is [tex]\large\bold{y = 6}[/tex]
____________________
b) [tex]x = 1[/tex]
Substitute the value of x as 1 in the equation.
[tex]y = 2x + 6 \\ y = 2(1) + 6 \\ y = 2 + 6 \\ y = 8[/tex]
✐ Answer of b) is [tex]\large\bold{y = 8}[/tex]
____________________
c) [tex]x = 2[/tex]
Substitute the value of x as 2 in the equation.
[tex]y = 2x + 6 \\ y = 2(2) + 6 \\ y = 4 + 6 \\ y = 10[/tex]
✐ Answer of b) is [tex]\large\bold{y = 10}[/tex]
____________________
d) [tex]x = 3[/tex]
Substitute the value of x as 3 in the equation.
[tex]y = 2x + 6 \\ y = 2(3) + 6 \\ y = 6 + 6 \\ y = 12[/tex]
✐ Answer of d) is [tex]\large\bold{y = 12}[/tex]
____________________
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
PLEASE please help me! this is due tonight. thank you
explaining your answer = brainliest/ five stars
the perimeter of this square is 48 cm. c = ___ cm
Answer:
c = 12
Step-by-step explanation:
If c is one side you would need to multiply that side times 4 because that's the way you find the perimeter. In this case, you need to divide 48 by 4 so that you get the centimeters for each side. The answer is 12
Brainliest pls
Find the equation of the parabola that has zeros of x = –2 and x = 3 and a y–intercept of (0,–30).
A)
y = x2 – 5x – 30
B)
y = 5x2+ 5x – 30
C)
y = –5x2 + 5x + 30
D)
y = 5x2 – 5x – 30
It's the letter B y=-5x2+5x+30.
Simplify (2x^2 + 4x) - (7x - 3x^2 + 5)
Answer:
5x^2 - 3x -5
Step-by-step explanation:
You simplify the like terms
Remember to use distributive property to do the (7x-3x^2+5) part
someone help me pleaseeeeee
Answer:
D
Step-by-step explanation:
All parts of the circle have a star, meaning that Andrea has a 4/4 or 1 probability of landing on a part that has a star.
Can someone help on this? Please :)
answer:
N(t)=2×[tex]1.7^{t}[/tex]
17
15
step by step explain:
before lesson (t=0), she knows 2 words.
after a week (t=1), she knows
2×(1+70%)=3.4 words
after one more week (t=2), she knows
3.4×(1+70%)=5.78 words
one more week later (t=3), she knows
5.78×(1+70%)=9.826 words
and so on ...
from pattern shown above, we know that she knows
2×[tex]1.7^{t}[/tex] words after t weeks
so N(t)=2×[tex]1.7^{t}[/tex]
after 4 weeks (t=4), she knows 2×[tex]1.7^{4}[/tex]=16.7042≈17 words
for learning 5000 words, she need:
2×[tex]1.7^{t}[/tex]=5000
[tex]1.7^{t}[/tex]=2500
t log(1.7)=log(2500)
t=[tex]\frac{log(2500)}{log(1.7)}[/tex]
=14.7448727
≈15 (round up)
Answer:
(a) N(t) = 2(1.7)^t
(b) 17
(c) 15
Step-by-step explanation:
(a) N(t) = 2(1.7)^t
There is a 2 because she starts with 2 words. The 1.7 is since her vocabulary grows by 70%. Finally, t represents the weeks. (it is an exponent)
(b) Just plug in the equation
N(4) = 2(1.7)^4
N(4) = 2(8.3521)
N(4) = 16.7042
Round, so it is 17
(c) Once again, plug in the equation
5000 = 2(1.7)^t
2500 = (1.7)^t
use a calculator for the part below
log1.7(2500) = log1.7(1.7)*t
t = log1.7(2500)
t = 14.7448
Round, so it is 15
✨HELP ASAP *Please*✨Theese figures are congruent. What series of transformations moves pentagon ABCDE onto pentagon A'B'C'D'E? Note: Rotations are clockwise Reflections are over the x-ory-axis.
A Rotation, translation
B. Reflection, translation
C. Reflection, rotation
D. Transation ansition
Answer: C
Brainliest Me
You have entered a pie baking contest. In the contest, you must make several pies for the judges to taste. You will make your famous strawberry pie to compete with the other bakers. Utilize your skill with fraction to make correct calculations. You need to use 4/5 strawberries for a single pie, How many cups are needed for 2 pies?
Answer:
x=2.5 cups are needed for 2 pies
Step-by-step explanation:
4/5 or 0.8
Fraction form: 4/5x = 2 x= 5/4
Decimial form: 0.8x = 2 x = 2.5
Mixed number form: 2 1/2
Hope that helped :)
What is the sign of -9. (0/-3)
Answer:
C Zero
Step-by-step explanation:
[tex] -9 \times (\dfrac{0}{-3}) = [/tex]
[tex] = -9 \times 0 [/tex]
[tex] = 0 [/tex]
Answer: C Zero
round the whole number 21,908 to the nearest thousands place
Answer:21,908 is 22,000 to the nearest thousand. the digits after the 1 of 21 is 9. So we round up
what is the slope of a line containing points (2,-1) (3,5)
Answer:
slope(m)=6
Step-by-step explanation:
(2 , -1)=(x1 , y1)
(3 , 5)=(x2 , y2)
use formula : y2 - y1/x2 - x1
=5-(-1)/3-2
=5+1/1
=6/1
=6
therefore slope of a line is 6.
