a crane lifts a pallet of concrete blocks 7 ft from the back of the truck . the truck driver away and the crane lowers the pallet 12ft what is the final position of the pallet relative to where it started in the back of the truck?
Answers
Answer:
4 ft down as per the image attached.
5 ft down as per the question statement.
Step-by-step explanation:
Given that:
A Pallet of concrete blocks is at the back of a truck.
The pallet is lifted by the crane to a height of 8 ft (as per image attached ) or 7 ft (as per question statement) and then the truck moves forward.
Now, the pallet is lowered down to a distance of 12 ft.
To find:
The final position of the pallet relative to the position from the back of the truck?
Solution:
If we closely look at the figure attached, it can be interpreted that the pallet is taken 8 feet above and then 12 feet down.
Therefore, if we subtract 8 feet from 12 feet, we will have our answer.
So, the position of the pallet with respect to its position in the truck is =
12 ft - 8 ft = 4 ft down.
If we consider the question statement:
12 ft - 7 ft = 5 ft down
Answer:
The final position is 5feet below the back of the truck
Step-by-step explanation:
Related Questions
the length of a rectangle is one unit more than its width. if the area of the rectangle is 56 square units,find the dimensions of the rectangle
Answers
Given:
The length of a rectangle is one unit more than its width.
Area of rectangle = 56 units
To find:
The dimensions of the rectangle.
Solution:
Let, width of the rectangle be x.
Then, length of the rectangle = x+1
Area of a rectangle is
[tex]Area=length\times width[/tex]
[tex]56=(x+1)\times x[/tex]
[tex]56=x^2+x[/tex]
[tex]0=x^2+x-56[/tex]
By splitting the middle term, we get
[tex]x^2+8x-7x-56=0[/tex]
[tex]x(x+8)-7(x+8)=0[/tex]
[tex](x-7)(x+8)=0[/tex]
Using zero product property, we get
[tex]x-7=0[/tex] and [tex]x+8=0[/tex]
[tex]x=7[/tex] and [tex]x=-8[/tex]
Width cannot be negative. So, x=7.
Now,
Width = 7 units
Length = 7+1
= 8 units
Therefore, the length of the rectangle is 8 units and width is 7 units.
Answer:
7
Step-by-step explanation: POV: I got it right
The list of all factors for 21 is 1, 3, 7, and 21.
True or False
plz i need help
Answers
Answer:
true
Step-by-step explanation:
hope you have a wonderful new year
6. Sharon divides a meatloaf into elevenths. How many elevenths equals the whole meatloaf?
Answers
Answer:
11 elevenths equal a whole meatloaf
11/11=1
Answer:
11 11ths
Step-by-step explanation:
11/11 = 1 whole
Select the correct answer
Answers
Answer:
1/49
Step-by-step explanation:
multiplying two of these, as long as the bases are the same, which is true here, you can add the exponents
so the exponents would be
-5/6 + (-7/6)=-5/6-7/6=-12/6=-2
7^-2=1/49
Answer:
Step-by-step explanation:
1/49
70% of 350 is what number?
Answers
Answer:
245
Step-by-step explanation:
What is 70 percent (calculated percentage %) of number 350? Answer: 245.
What is the solution?
Answers
Answer:
(2,3)
Step-by-step explanation:
it's the point of intersection
hope this helps, pls mark brainliest :D
Answer:
2,3 i believe 2 on the x axis and 3 on the y
Step-by-step explanation:
help please..... I cant find the answe
Answers
Answer:
[tex]6^{30}[/tex]
Step-by-step explanation:
Using the rules of exponents
[tex](a^m)^{n}[/tex] ⇔ [tex]a^{mn}[/tex]
[tex]\frac{a^{m} }{a^{n} }[/tex] ⇔ [tex]a^{(m-n)}[/tex]
Given
[tex]\frac{(6^-4)^{-9} }{6^6}[/tex]
= [tex]\frac{6^{36} }{6^{6} }[/tex]
= [tex]6^{(36-6)}[/tex]
= [tex]6^{30}[/tex]
Scarlet deposited $500 in a savings account with simple interest. One year later she had earned $30 in interest. What was the interest rate?
Answers
Answer:
6%
Step-by-step explanation:
Interest = Principal x Rate x Time (in years)
30 = 500r
r = 3/50 or 6/100 which is 6%
Which set represents a function?
{(1, 3), (4, 5), (4, 9), (6, 19)}
{(-5, 6), (-3, 13), (-14, 30)}
{(12, 12), (12, 13), (12, 14)}
Answers
Answer: {(-5, 6), (-3, 13), (-14, 30)} is a function
{(12, 12), (12, 13), (12, 14)} and {(1, 3), (4, 5), (4, 9), (6, 19)} are not a function
Answer:
the second set
Step-by-step explanation:
You cannot have the same number in your domain twice.
You throw a ball into the air from a height of 5 feet with an
initial vertical velocity of 32 feet per second. Use the vertical
motion model, h = –16t2 + vt + s, where v is the initial
velocity in feet per second and s is the height in feet, to
calculate the maximum height of the ball. Round your answer
to the nearest tenth if necessary.
Maximum height
Answers
X = -32/2(-16) = 1 = time
-16(1)^2 + 32(1) + 5 = 21 ft!
1/4x+3/8 factored by the GCF
Answers
Given:
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
To find:
The factor form of given expression by the GCF.
Solution:
First we need to find the GCF of [tex]\dfrac{1}{4}[/tex] and [tex]\dfrac{3}{8}[/tex].
So, make denominators same.
[tex]\dfrac{1}{4}=\dfrac{1\times 2}{4\times 2}=\dfrac{2}{8}[/tex]
Now,
[tex]GCF\left(\dfrac{2}{8},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
[tex]GCF\left(\dfrac{1}{4},\dfrac{3}{8}\right)=\dfrac{1}{8}[/tex]
We have,
[tex]\dfrac{1}{4}x+\dfrac{3}{8}[/tex]
It can be written as
[tex]=\dfrac{2}{8}x+\dfrac{3}{8}[/tex]
Taking out the GCF [tex]\dfrac{1}{8}[/tex], we get
[tex]=\dfrac{1}{8}(2x+3)[/tex]
Therefore, the required factor form is [tex]\dfrac{1}{8}(2x+3)[/tex].
Writing Equations of Parallel Lines
y
10
What is the slope of the line that is parallel to the given
line and passes through the given point?
8
6
What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
given point?
4.
2
-10 -8 6 4
What is the y-intercept of the line that is parallel to the
given line and passes through the given point?
2
4.
6
8
10
-2
-2
4
-6
-8
-10
Answers
Answer:
The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
The equation of the parallel line to the given line and passes through the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
The y-intercept of the parallel line to the given line and passes through the given point is [tex]-\frac{9}{2}[/tex]
Step-by-step explanation:
The rule of the slope of the line that passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]The point-slope form of the linear equation is y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the lineThe slope-intercept form of the linear equation is y = m x + b, where m is the slope and b is the y-interceptParallel lines have the same slopes and different y-interceptsIn the given figure
∵ The given line passes through points (2, 6) and (-6, 8)
∴ x1 = 2 and y1 = 6
∴ x2 = -6 and y2 = 8
→ Substitute them in the rule of the slope above to find it
∵ m = [tex]\frac{8-6}{-6-2}[/tex] = [tex]\frac{2}{-8}[/tex] = [tex]-\frac{1}{4}[/tex]
∴ The slope of the given line is [tex]-\frac{1}{4}[/tex]
∵ Parallel lines have the same slopes
∴ The slope of the parallel line to the given line is [tex]-\frac{1}{4}[/tex]
∵ The parallel line passes through the point (-2, -4)
∴ x1 = -2 and y1 = -4
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute them in the point-slope form above
∵ y - (-4) = [tex]-\frac{1}{4}[/tex] (x - (-2))
∴ y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∴ The equation of the parallel line to the given line and passes through
the given point is y + 4 = [tex]-\frac{1}{4}[/tex] (x + 2)
∵ m = [tex]-\frac{1}{4}[/tex]
→ Substitute it in the slope-intercept form above
∴ y = [tex]-\frac{1}{4}[/tex] x + b
→ To find b substitute x by -2 and y by -4 (coordinates the given point)
∵ -4 = [tex]-\frac{1}{4}[/tex](-2) + b
∴ -4 = [tex]\frac{1}{2}[/tex] + b
→ Subtract [tex]\frac{1}{2}[/tex] from both sides
∴ [tex]-\frac{9}{2}[/tex] = b
∵ b is the y-intercept
∴ The y-intercept of the parallel line to the given line and passes
through the given point is [tex]-\frac{9}{2}[/tex]
Answer:
What is the slope of the line that is parallel to the given line and passes through the given point?
✔ –1/4
What is the equation, in point-slope form, of the line that is parallel to the given line and passes through the given point?
✔ y + 4 = –1/4(x + 2)
What is the y-intercept of the line that is parallel to the given line and passes through the given point?
✔ –9/2
Step-by-step explanation:
11. Find the measure of each missing angle.
Help me pls!
Answers
Answer:
1=15?
Step-by-step explanation:
5*4=15 becuz lower angle=top 1 angle and stuff i hope this helps. im just a helpless 6th grader :)
Find the inverse when f(x)=3x^2-3x-2
Answers
Answer:
The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
Step-by-step explanation:
To find the inverse of the quadratic function f(x) = ax² + bx + c, you should put it in the vertex form f(x) = a(x - h)² + k, where
h = [tex]\frac{-b}{2a}[/tex] k is the vlue f at x = h∵ f(x) = 3x² - 3x - 2
→ Compare it with the 1st form above to find a and b
∴ a = 3 and b = -3
→ Use the rule of h to find it
∵ h = [tex]\frac{-(-3)}{2(3)}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{1}{2}[/tex]
∴ h = [tex]\frac{1}{2}[/tex]
→ Substitute x by the value of h in f to find k
∵ k = 3( [tex]\frac{1}{2}[/tex])² - 3( [tex]\frac{1}{2}[/tex]) - 2
∴ k = [tex]-\frac{11}{4}[/tex]
→ Substitute the values of a, h, and k in the vertex form above
∵ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² + [tex]-\frac{11}{4}[/tex]
∴ f(x) = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
Now let us find the inverse of f(x)
∵ f(x) = y
∴ y = 3(x - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Switch x and y
∵ x = 3(y - [tex]\frac{1}{2}[/tex])² - [tex]\frac{11}{4}[/tex]
→ Add [tex]\frac{11}{4}[/tex] to both sides
∴ x + [tex]\frac{11}{4}[/tex] = 3(y - [tex]\frac{1}{2}[/tex])²
→ Divide both sides by 3
∵ [tex]\frac{x+\frac{11}{4}}{3}[/tex] = (y - [tex]\frac{1}{2}[/tex])²
→ Take √ for both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] = y - [tex]\frac{1}{2}[/tex]
→ Add [tex]\frac{1}{2}[/tex] to both sides
∴ ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex] = y
→ Replace y by [tex]f^{-1}[/tex](x)
∴ [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
∴ The inverse of f(x) is [tex]f^{-1}[/tex](x) = ± [tex]\sqrt{\frac{x+\frac{11}{4}}{3}}[/tex] + [tex]\frac{1}{2}[/tex]
Can someone help me please
Answers
Answer: B
Step-by-step explanation:
It has to be B. None of the other answers make sense.
Set up the following additional using a vertical format and find the sum of the given polynomials:
7b+3, -4b+5, and -3b+2
Answers
Answer:
Step-by-step explanation:
The Answer is 10
math please help me
answer choice
This system has no solutions.
(5/8, 14)
This system has infinitely many solutions.
(−5/8, 4)
Answers
Answer:
What do you mean? It could be both, in different ways.
Solve for y
*show your work *
6. -6 + 2y= -x
7. 3y - 6x = 15
8. 2x + 4y = 8
9. 3x -3y = 3
10. 1/2y - 4x = 2
Answers
Answer: 1)2x=4 -> 4/2 = 2 so x=2
2) y=0
3) x=3
4) 2y + (3*3y) = -15
11y=-15
y = -15/11
5) 4x + 7x + 63 = 19
11x = -44
x = -4
Step-by-step explanation:
The difference of y and 8.1 is 20.
Flnd the value of y.
Answers
Answer:
y = 28.1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Set Up Equation
"Difference" is subtraction
"y" is y
"8.1" is 8.1
"is" is equal
"20" is 20
y - 8.1 = 20
Step 2: Solve for y
Add 8.1 to both sides: y = 28.1Please help ASAP I am so confused
Answers
Here are the steps, hope it helps!
For the function F(x) = }, which of these could be a value of F(x) when xis
close to zero?
Answers
Given:
The graph of the function [tex]f(x)=\dfrac{1}{x}[/tex].
To find:
The value of the function f(x), when x is close to zero.
Solution:
From the given graph it is clear that, f(x) approaches towards infinity and negative infinity as x approaches towards 0.
[tex]f(x)\to \infty[/tex] as [tex]x\to 0^+[/tex]
[tex]f(x)\to -\infty[/tex] as [tex]x\to 0^-[/tex]
In means, the value of must be very large positive value or very large negative if x is close to zero.
From the given options -10,000 is very large negative value.
So, the possible value of f(x) could be -10000 if x is close to 0.
Therefore, the correct option is A.
I BET EVERYONE CAN GET THIS RIGHT BUT NOT ME
Answers
The local candle store marks up the price of its candles by 75% before selling them. If the store paid
the distributor $6.99 per candle, how much will a candle cost in the store?
Answers
Answer:
$12.23
Step-by-step explanation:
75/100 = 0.75
0.75 x 6.99 = 5.2425
6.99 + 5.2425 = 12.2325
How do I solve 1.5 to the -2 power or 1.5^-2 (its an exponent) I have had to repost this like 3 times IF YOU ARE NOT SURE THEN DONT ANSWER the answer is .4 repeating if your explanation does not get that move along
Answers
Answer:
see explanation
Step-by-step explanation:
Using the rule of exponents
[tex]a^{-m}[/tex] ⇔ [tex]\frac{1}{a^{m} }[/tex] , then
[tex]1.5^{-2}[/tex]
= [tex]\frac{1}{1.5^{2} }[/tex]
= [tex]\frac{1}{2.25}[/tex]
= 0.4444.....
What is the simplified form of the expressions? a. −6a2b−1 b. 5/y−3
Answers
Given:
The expressions are
[tex]-6a^2b^{-1}[/tex]
[tex]\dfrac{5}{y^{-3}}[/tex]
To find:
The simplified form of each expression.
Solution:
We have,
[tex]-6a^2b^{-1}[/tex]
[tex]=-6a^2(\dfrac{1}{b})[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=-\dfrac{6a^2}{b}[/tex]
Therefore, the simplified form of [tex]-6a^2b^{-1}[/tex] is [tex]-\dfrac{6a^2}{b}[/tex].
We have,
[tex]\dfrac{5}{y^{-3}}[/tex]
[tex]=\dfrac{5}{\dfrac{1}{y^3}}[/tex] [tex][\because x^{-n}=\dfrac{1}{x^n}][/tex]
[tex]=5\times \dfrac{y^3}{1}[/tex]
[tex]=5y^3[/tex]
Therefore, the simplified form of [tex]\dfrac{5}{y^{-3}}[/tex] is [tex]5y^3[/tex].
5713065981 if your this guy text me
Answers
Answer:
imagine she doesn't find him
*grins with werid intantions*
HELP ASAP
1. A group of numbers, variables, and/or operation symbols that represent a mathematical relationship. is called?
2. A known number, a variable, or the product of a known number and a variable; separated by plus (+) and minus (-) symbols. is called?
Answers
Answer:
1. polynomial
2. equation
I hope it will be useful.
Helplsieedgoodgradeplspls
Answers
Answer:
He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6
Step-by-step explanation:
8·11= 88
11-5= 6
Write 1.417x10^2 in standard notation please hurry .thank you
Answers
Answer:
The standard notation would be 141.7
Step-by-step explanation:
(C)
A man, 1.4m tall, is inspecting the behavior of a bird sitting at the top of a pole of
the height 43.4m. If the man is standing 14√3m away from the bottom of the pole
on the horizontal level, at what angle is he looking at the bird?
Answers
60°
take (43.4-1.4)m to get the remaining height which Wii be you height ie.42m
base is the distance that the man stands away from the pole
using tan rule will be opposite/adjacent