Answer:
A. 13 lb, 35 lb, resultant force 30 lb, no; 20 lb, 15 lb, resultant 25 lb, yes
Step-by-step explanation:
From the given problem, I gather that there are only two groups of forces. These are:
13 lb, 35 lb, resultant force 30 lb
20 lb, 15 lb, resultant force 25 lb
We use the pythagorean theorem to determine if the three forces are grouped correctly, such that the resultant force is the hypotenuse.
Resultant Force = √(a² + b²)
So, for the first group,
30 ? √(13² + 35²)
30 ≠ 37.33
Thus, the first group does not pull at right angles to each other.
For the second group,
25 ? √(20² + 15²)
25 = 25
Thus, the second group does pull at right angles to each other.
Simplify x^−7. Write your answer using only positive exponents.
x-7 Is how you simplify
Positive form is 1/x/7
On the youth soccer team 3 out of 12 team members have played in previous years. Based on this information , if 180 kids are in the youth soccer league , then how many could be expected to have played the year before
Answer:
its 3/12 ×180 which is 1/4 of 180 as similar which is = 45. So we find out that 45 members where involved last year in youth soccer league.
Evaluate the following Exponential functions. A. g(x) = (1/2)^x – 3
find: 1. g(0) 2. g(1) 3. g(-2)
Could someone good at geometry help me please. I will mark brainliest!! :)
A rectangular prism has a length of 11 inches, a width of 2 inches, and a height of 3 inches. What is the volume of the prism?
Answer:
66 inch ^3
Step-by-step explanation:
The volume of a rectangular prism is LxWxH. So 11x2x3= 66 inches.
What is the domain and range if the equation is y= x^2 -2x -8
Answer:
Domain :
R (all real numbers)
Range :
{y element R : y>=-9}
two functions are given below. f(x) =-4x+1 g(x)=-4x+1/2
Answer:
hope this helps
Step-by-step explanation:
x= −1 /4 y + 1 /4
g= −8x+1 /2x
Simplify: x + (x-y) + y + (y-x)
Answer:
x+y
Step-by-step explanation:
It is x+y because if you look at (x-y) and (y-x) they can cancel with each other since x- x and -y+y. All that's left is x+y
9. A box of cereal is packaged and sold at a local
grocery store. The volume of the cereal in the
box is 80% of the total volume of the box. The
base of the box measures 10 inches by 3 inches.
The height of the box is 1 foot. What is the
volume of the cereal in the box, measured in
cubic inches?
Answer:
288 Cubic Inches
Step-by-step explanation:
Assuming the cereal takes up 80% of the total volume of the box, you would take 80% of the total volume.
First, do Base x Width x Height for the volume of the box.
10 inches x 3 inches x 1 foot (1 foot is 12 inches)
10 x 3 x 12 = 360
Now, take 80% of 360 cubic inches.
80% is 0.8 times a number
0.8 x 360 = 288
288 Cubic Inches
Find the values of x any y. Write your answers in simplest form.
Step-by-step explanation:
using trignometry,
tan 60 = 3√3/x=√3
→x=3
cos 30 =3√3/y=√3/2
→y=6
write the first four terms of the arithmetic sequence given a1=-3 and d=-2
Can somebody please help me with this ? help will be very much helpful:)
Answer:
lesser x should be -5
greater x should be 5
Step-by-step explanation:
Answer:
x = (5,-5)
Step-by-step explanation:
isolate the variables by dividing each by factors that don't contain the variable
Suri makes $15 per hour and gets a weekly bonus of $25. Juan makes $14 per hour and gets a weekly bonus of $50. Is it possible for Suri and Juan to make the same amount of wages, y, by working the same number of hours, x, in one week?
Answer:
25 hours per week
Step-by-step explanation:
Step one:
given data
Suri makes $15 per hour and gets a weekly bonus of $25
Juan makes $14 per hour and gets a weekly bonus of $50.
Let the number of hours worked be x
and let the total earned be y
For Surl
The expression for the total is
y= 25+15x-----------1
For Juan
The expression for the total is
y= 50+14x-----------2
Step two:
Equate the two expressions we have
25+15x=50+14x
collect like terms we have
25-50= 14x-15x
-25= -x
x= 25
Yes its is possible that they earned the same amount if they work for 25 hours
The sum of 2 numbers is 38. The grarter number is 8 more than the other number find each number ise a aystem of linear equations to justify your answer
Answer:
x = 23 ; y = 15
Step-by-step explanation:
Given :
Let the numbers be : x and y
x + y = 38 - - (1)
x = y + 8 - - - (1)
Put x = y + 8 into (1)
y + 8 + y = 38
2y + 8 = 38
2y = 38 - 8
2y = 30
y = 30/2
y = 15
x = y + 8
x = 15 + 8
x = 23
The length of a rectangular park is twice its width.
The park is surrounded by a 3-foot-wide path.
Write a quadratic function to represent the total
area of the park and the path.
Answer:
[tex]A=2x^2+18x+36[/tex]
Step-by-step explanation:
Quadratic Function
It's given the length of a rectangular park is twice its width.
Let's call:
x = width of the rectangular park
2x = length of the rectangular park
The park is surrounded by a 3-foot-wide path. This path adds 3 ft twice to both dimensions, i.e.:
x+3+3=x+6 width of the park and the path
2x+3+3=2x+6 length of the park and the path
The total area is:
A=(x+6)(2x+6)
Operating:
[tex]A=2x^2+6x+12x+36[/tex]
[tex]\boxed{A=2x^2+18x+36}[/tex]
10) Solve the inequality for x.
- 2x + 2<-8
A) X<3
B) x < 5
C) X> 3
D) X> 5
Answer:
it is D
Step-by-step explanation:
Answer:
D.X> 5
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
2 2/7× 11/12 what is the ans
Answer:
There are 3 different forms of the answer.
Step-by-step explanation:
1. 44/21
2. 2.10
3. 2 2/21
Find the simple interest for 3 years at a rate of 5% on $200
Answer:
The simple interest is $30
Step-by-step explanation:
To find this, we use the simple interest formula
Mathematically, this is;
I = PRT/100
P is the principal = $200
R is the rate = 5%
T is the time = 3 years
Substituting these values, we have;
I = (200 * 5 * 3)/100
I = $30
PLEASE HELP! I've reposted this soooo many times and no one answered, I WILL GIVE BRAINLIEST!
Answer: C
Step-by-step explanation:
Answer: D
Step-by-step explanation:
1.88 in the equation is the rate of change.
rate of change means, "the speed at which a variable changes over a specific period of time."
L = the length of his femur. every time the femur grows an inch, the height also increases according to the equation.
an example is when the femur is 19 inches.
H = 1.88(19) + 32.01
H = 67.73
The height of the man is 67.72 inches if his femur was 19 inches.
What is one of the values for "X" that satisfy the equation x^2 - 7x - 18 ? A.-9 B. no solutions C.9 D.2
Answer:
i think c
Step-by-step explanation:
Using the diagram below, determine what the value of x is. Remember a straight line is 180 degrees and a complete circle is 360 degrees.
Answer:
x= -66
Step-by-step explanation:
What is the value of the expression (5)³?
Answer:
125
Step-by-step explanation:
5³ = 5 · 5 · 5 = 125
Answer:
125
Step-by-step explanation:
(5)^3 = 5*5*5
5*5*5= 25*5= 125
Hope it helped :))
The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?
Answer:
Rs 877.2
Step-by-step explanation:
The dimensions of an iron box are 9ft * 4.4ft* 2.5ft. What is the cost of the iron sheet used to make the box, if the cost of the sheet is Rs 6 per Square Foot?
The iron box is shaped as a rectangular prism
The formula for the surface area of a rectangular prism is given as:
S = 2(lw + lh + wh)
L = Length = 9ft
W = Width = 4.4ft
H = Height = 2.5 ft
Hence:
Surface area = 2[(9 × 4.4) + (9 × 2.5) +(4.4 × 2.5)]
Surface area = 2[(39.6) + (22.5) + (11)]
Surface area = 2[73.1]
Surface area = 146.2 ft²
From the question:
The cost of the sheet is Rs 6 per Square Foot
1 ft² = Rs 6
146.2 ft² = x
Cross Multiply
x = 146.2 × Rs 6
x = Rs 877.2
The cost of the iron sheet used to make the box is Rs 877.2
I dont understand this... they do not teach well in my school tbh.
2х +3y
what is the value of this equation
Answer:
12/15
Step-by-step explanation:
solve for x and y. please help. will give brainiest
Plz refer the picture
plz mark as brainliest
2 4/10 + 3 5/8 = what does it equal
State the domain: x^2 +16x+64
Answer:
All real numbers
Step-by-step explanation:
x² + 16x + 64 is a parabola that opens up, when graphed.
This means it will have a U shape that will infinitely extend outwards in both directions, across the x axis.
So, the domain will include all real numbers.
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
31.4
Step-by-step explanation:
first you take your radius of 5 and times it by 2.
5 x 2 = 10
times 10 by pie
10 x 3.14 = 31.4
The questio is in the picture
Answer:
It's 14
Step-by-step explanation:
Answer:
i cant see the wording dude make it closer
Step-by-step explanation: