Answer:
Step-by-step explanation:
A. by making the ramp as long as possible
The students can reduce the effort needed to push the boxes up the ramp by making the ramp as long as possible.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
The students can reduce the effort needed to push the boxes up the ramp by making the ramp as long as possible.
A longer ramp will have a more gradual slope, which requires less force to push the boxes up.
This is because the longer the ramp, the smaller the angle of inclination, and the easier it is to move objects up the ramp.
While making the ramp out of lightweight material and covering the ramp’s surface with a soft rubber mat may make moving the boxes up the ramp easier, these factors are not as significant as the ramp's length.
Additionally, making the ramp’s height and length equal could make it too steep, requiring more effort to push the boxes up.
Therefore, by making the ramp’s height and length equal, students can reduce the effort.
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Is 4y+9+3 and 3y+9+4y equivalent
the question: a computer manufacturer built a new facility for assembling computers. there were construction and new equipment cost. the company paid for these cost and made combined profits of $80 million after four years as shown in the graft.
answers:
a: f(x)=60x-160
b:f(x)=-60x+160
c:f(x)=-80x +4
d: f(x)= 80x -4
Answer:
The equation that closely represents the graph is [tex]\mathbf{y=60x-160}[/tex]
Option A is correct.
Step-by-step explanation:
We need to find equation that represents the graph.
We can write equation in slope-intercept form: [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
For finding the equation we need to find slope and y-intercept
Finding slope
The slope can be found using formula: [tex]Slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we can find [tex]x_1=0, y_1=-160, x_2=1, y_2=-100[/tex]
Putting values and finding slope
[tex]Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{-100-(-160)}{1-0} \\Slope=\frac{-100+160}{1}\\Slope=-100+160\\Slope=60[/tex]
We get Slope = 60
Finding y-intercept
Using point (0,-160) and slope m = 60, we can find y-intercept
[tex]y=mx+b\\-160=60(0)+b\\b+0=-160\\b=-160[/tex]
Writing the equation
So, the equation for given graph having slope m = 60 and y-intercept b =-160 is:
[tex]y=mx+b\\y=60(x)+(-160)\\y=60x-160[/tex]
So, The equation that closely represents the graph is [tex]\mathbf{y=60x-160}[/tex]
Option A is correct.
find the domain of the graphed function
Answer:
Domain= [0, 13]
Step-by-step explanation:
Domain refers to the possible input values on the x-axis.
$75 lunch; 18% tip what is the total
Answer:
88.5
Step-by-step explanation:
75 x .18
tip= 13.5
75 + 13.5 = 88.5
The measures of the angles of a quadrilateral are 3:8:7:2 find the measure of each angle
Answer:
Angle 1= 54°
Angle 2= 144°
Angle 3 = 126°
Angle 4 = 36°
Step-by-step explanation:
We are given measures of the angles of a quadrilateral are 3:8:7:2
Let the common ratio = x
The angles will be:
Angle 1= 3x,
Angle 2= 8x,
Angle 3 =7x
Angle 4 =2x
We know that sum of all angles of quadrilateral = 360°
We can write as: [tex]3x+8x+7x+2x=360[/tex]
Solving to find x,
[tex]3x+8x+7x+2x=360\\20x=360\\x=\frac{360}{20}\\x=18[/tex]
We get value of x = 18
Now, finding angles:
Angle 1= 3x = 3(18) = 54°
Angle 2= 8x = 8(18) = 144°
Angle 3 =7x = 7(18) = 126°
Angle 4 =2x = 2(18) = 36°
Need this ASAP please help
Answer:
Step-by-step explanation:
b
Answer:
Option b) 3x - 22 = 38 should be the correct answer.
Step-by-step explanation:
If we solve the equation, we get:
x = 20
So each bag had 20 apples. In total, 3 bags held 60 apples. If he gives away 22 apples to his friends, he has 38 remaining and this satisfies the discription given in the question.
Therefore, option B) 3x -22 = 38 should be your answer.
HELP ASAP giving brainlist!!!
Answer:
I would say its given because all of the sides are the same
Step-by-step explanation:
Rebecca has 6 yards of ribbon. It takes 3/8 yard to wrap one package. How many packages can rebecca wrap
Answer:
16
Step-by-step explanation:
6 x 8 = 48
48 / 3 = 16
Rebecca can only wrap 16 packages with 6 yards of ribbon.
Need help will mark Brainliest no explanation needed
The variables y and x have a proportional relationship, and y = 7 when x = 2 What is the value of x when y = 212 Enter your answer in the box x = 1
Answer:
proportional relational ship
y= kx
7 = k2
solve for k
7/2 =k
y = 7/2 x
if y = 21
21 =7/2 x
solve for x
multiply by 2/7 on each side
21* 2/7 = 2/7*7/2 x
6 =x
Solve for x
-2(x+6) =-36
Answer:
x= 12
Step-by-step explanation:
Answer:
x=12
Step-by-step explanation:
-2(x+6)=-36
distribute the -2
-2x-12=-36
add 12 to both sides
-2x=-24
divide both sides by -2
x=12
What is the "quotient" of two numbers?
Answer:
Result of a division
Step-by-step explanation:
Example
x / y = z
z is the quotient
Find the length x.
5
X
45
PLS THIS IS ERGENT
Answer:
X = 7.5
Step-by-step explanation:
First, divide 5 by 3 to find the scale factor:
5/3 = 1.667
Now, multiply 4.5 by 1.667 to find x:
x = (4.5)(1.667)
x = 7.5
Therefore, x is equal to 7.5.
I hope this helps!!
- Kay :)
x + 8 + 2x <= 2x + 13
Answer:
X = 15
Step-by-step explanation:
We move all terms to the left:
x+8+2x-(2x+13)=0
We add all the numbers together, and all the variables:
3x-(2x+13)+8=0
We get rid of parentheses:
3x-2x-13+8=0
We add all the numbers together, and all the variables:
x-5=0
We move all terms containing x to the left, all other terms to the right:
x=5
Write an inequality with the same meaning as the following
16 > x
Answer:
16>x/2
Step-by-step explanation:
Determine the shaded areas part 2
9514 1404 393
Answer:
(a) cannot be determined
(b) 44 cm^2
(c) 87 m^2
(d) 180 m^2
(e) 132 m^2
Step-by-step explanation:
(a) missing a horizontal dimension
__
(b) The difference between the bounding rectangle and the lower-left cutout is ...
(8 cm)(7 cm) -(3 cm)(4 cm) = (56 -12) cm^2 = 44 cm^2
__
(c) The difference between the bounding rectangle and the center cutout is ...
(13 m)(7 m) -(4 m)(1 m) = (91 -4) m^2 = 87 m^2
__
(d) The difference between the bounding rectangle and the two cutouts is ...
(20 m)(25 m) -(16 m)(20 m) = (20 m)(25 -16) m = (20 m)(9 m) = 180 m^2
__
(e) The difference between the bounding rectangle and the two cutouts is ...
(14 m)(12 m) -(12 m)(3 m) = (12 m)(14 -3) m = (12 m)(11 m) = 132 m^2
what is the estimate of 210 x 733
Answer:
153,930 that is the answer hope it is right
Answer:
about 1,400
Step-by-step explanation:
its about 1,400 because you would round 210 to 200, and 733 to 700.
please give brainliest :))
How you express the average of five quizzes is 85 in mathematical expression
How many laps would be 50 miles on a 1 1/2 mile track?
Answer:
34 laps
Step-by-step explanation:
the specific answer is 33.3 but u have to round the whole number
solve the quadratic equation 3x^2 - 9x + 1 = 0 Give answer to 3 significant figures
Answer:
Either, (9+√69)/6 or (9-√69)/6
Step wise:
3x²-9x+1=0-------------------(i)
comparing equation onw with (ax²+bx+c=0), we get,
a=3, b=-9, c=1
now,
using Quadratic Formula,
(-b±√b²-4ac)/2a=x
{-(-9)±√(-9)²-4.3.1}/2.3=x
(9±√81-12)/6=x
(9±√69)/6=x
Taking +(ve) sign Taking -(ve) sign
(9+√69)/6=0 (9-√69)/6=0
∴(9+√69)/6=0 ∴(9-√69)/6=0
[∵They cannot be further solved]
The solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
What is a quadratic equation?The equation of the form ax² + bx +c is known as a quadratic equation.
The given equation is 3x² - 9x + 1 =0.
Solve the equation as follows:
3x² - 9x + 1 =0
Use the quadratic formula to solve the equation:
[tex]x = \frac{-(-9)\pm\sqrt{(-9)^2-4(3)(1)}}{2(3)}\\\\x= \frac{9\pm\sqrt{81-12}}{6}\\\\x=\frac{9\pm\sqrt{69}}{6}\\\\x = \frac{9\pm8.306}{6}\\\\x=\frac{9+8.306}{6}\quad\text{ or }x=\frac{9-8.306}{6}\\\\x=2.884\quad\text{ or }x=0.116[/tex]
Hence, the solutions to the given quadratic equation are x = 2.884 and
x = 0.116.
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What is the volume of the cylinder below?
9^6^8
O A. 432pi units3
B. 216pi units3
O C. 324pi units3
D. 288pi units3
Answer:
Step-by-step explanation:
288pi units3
The volume of the cylinder in the image given is: 288pi units³.
What is the Volume of a Cylinder?In mathematics, volume is the space taken by an object. Volume is a measure of three-dimensional space. It is often quantified numerically using SI derived units or by various imperial or US customary units. The definition of length is interrelated with volume.
here, we have,
we know that,
Volume of a cylinder = πr²h,
where:
r = radius of the cylinder
h = height
Given the following:
r = 6 units
h = 8 units
Volume of the cylinder = 288pi units³
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Put these numbers from least to greatest 0.51, 3/4, 0.59, 3/8, 0.24, 0.517
Answer: 0.24, 3/8, 0.51, 0.517, 0.59, 3/4
Step-by-step explanation:
First you will have to convert the 3/4 and 3/8 to a decimal number. By doing this 3/4 turns into 0.75 and the 3/8 becomes 0.375. After this step you then arrange the numbers for the lowest of 0.24 then the 3/8 (0.375) next 0.51 after that is 0.517 then 0.59 and final after that 3/4
Given g(x)=−x2+10x−3, find the following.
g(9)=
Question 14 options:
-174
-111
6
138
Answer:
g(9) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
g(x) = -x² + 10x - 3
g(9) is x = 9
Step 2: Evaluate
Substitute in x: g(9) = -(9)² + 10(9) - 3Exponents: g(9) = -(81) + 10(9) - 3Multiply: g(9) = -81 + 90 - 3Add: g(9) = 9 - 3Subtract: g(9) = 6if x,4x+3 and 7x+3 are geometric sequence. find the value of x
please help me
Answer:
x = [tex]\frac{-6}{7+\sqrt{13}}[/tex]
r = [tex]\frac{1+\sqrt{13} }{2}[/tex]
Step-by-step explanation:
In mathematics, a geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-one number called the common ratio.
For example, the sequence 2, 6, 18, 54, ... is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, ... is a geometric sequence with common ratio 1/2.
-----
Let's take r=ratio of the geometric sequence
in first term, x is multiplied by [tex]r^{0}[/tex]
First term: x [tex]r^{0}[/tex]
Second term: 4x+3 = x [tex]r^{1}[/tex]
Third term: 7x+3 = x [tex]r^{2}[/tex]
From the last 2 equation, we have to obtain r and x values.
Second equation - First equation:
3x = x r (r - 1)
Let's state: x different from 0, so we can simplify x, obtaining:
3 = [tex]r^{2}[/tex] - r
0 = [tex]r^{2}[/tex] - r - 3
r = [tex]\frac{1+\sqrt{13} }{2}[/tex] (only the positive value of r counts)
so, going to second term of the sequence:
4x+3 = x [tex]r^{1}[/tex] => x (4 - [tex]\frac{1+\sqrt{13} }{2}[/tex] ) = -3
x ([tex]\frac{7+\sqrt{13} }{2}[/tex] ) = -3 => x = [tex]\frac{-6}{7+\sqrt{13}}[/tex]
hope it helps..
What system of equations is shown on the graph below?
On a coordinate plane, 2 lines intersect around (1.8, negative 0.8).
2 x + y = 3 and 3 x minus 4 y = 8
2 x minus y = 3 and 3 x + 4 y = 8
2 x + y = 3 and 3 x minus 4 y = 2
2 x minus y = 3 and 3 x minus 4 y = negative 2
Answer:
i thnk it is c correct me if i am rong
Step-by-step explanation:
Answer:
(C) I got it right
Step-by-step explanation:
on edge
Sanda withdrew $14.50 from his bank account for 6 weeks. What was the total change in his bank account after six weeks?
Answer:
87 is what he took out after six weeks is that it or?
Dejah is proving that perpendicular lines have slopes that are opposite reciprocals. She draws line s and labels two points on the line as (−a, 0) and (0, b).
Enter the answers, in simplest form, in the boxes to complete the proof.
Answer:
math is hard :(
Step-by-step explanation:
12) (7 + a)-(-7a+1)
Help??
which of the following scenarios could be modeled by the expression 3/2 divided by 1/4
Answer:
I believe C.
Explanation:
I am pretty sure it's C but I don't really see it too well so I can't read the top two the best.
There are 120 students and 23 teachers going on a class trip. The buses used for the class trip hold at most 45 passengers. How many buses will be needed?
Answer: 4 busses if each bus only hold 45 passengers at most.
Step-by-step explanation:
120 students
23 teachers=143 people
143 divided by 3 busses is only 47 so 3
busses wouldn’t be enough